Datasets:
kajuma
/
training_03_05_token

Dataset card Data Studio Files Community
1
Search is not available for this dataset
input_ids
sequencelengths
2.05k
2.05k
attention_mask
sequencelengths
2.05k
2.05k
labels
sequencelengths
2.05k
2.05k
[ 25005, 247, 102540, 112479, 60358, 8107, 5486, 103271, 105466, 59563, 34048, 106848, 16556, 15308, 121, 107517, 110731, 112193, 25005, 247, 102540, 38641, 1811, 101083, 56965, 108936, 77181, 5486, 91482, 47307, 101198, 16073, 117812, 15682, 28873, 53953, 55031, 19732, 30369, 112973, 104712, 102083, 78183, 106824, 61689, 29295, 5486, 103350, 15682, 28873, 53953, 15682, 104473, 107654, 30512, 21980, 248, 15024, 5486, 91939, 225, 101921, 116, 16144, 122502, 50834, 30512, 112294, 107436, 114732, 122502, 50834, 107407, 16144, 38641, 1811, 66378, 20230, 5486, 107969, 115351, 119208, 53229, 106518, 16144, 28873, 53953, 10110, 66953, 96452, 96452, 5486, 80805, 80805, 117733, 5486, 80805, 25197, 96452, 103830, 33710, 5486, 111817, 103621, 11972, 50667, 119735, 111006, 30512, 106142, 71289, 15024, 5486, 33014, 32943, 55031, 115145, 57207, 65299, 91062, 30512, 127696, 30297, 105879, 5486, 117759, 16995, 39177, 23538, 102052, 103851, 105262, 104466, 103801, 109954, 1811, 104735, 251, 29295, 108631, 16995, 19732, 14276, 244, 116825, 102532, 105564, 119188, 33334, 8107, 108385, 31431, 29295, 107991, 117840, 29295, 5486, 43240, 47884, 15682, 110631, 16995, 33334, 86894, 241, 45829, 71289, 28873, 53953, 16144, 99046, 224, 31431, 120195, 111848, 102944, 38641, 118855, 5486, 103167, 33014, 104840, 111571, 124911, 32977, 85701, 20230, 109638, 40265, 78434, 1811, 103167, 33014, 104840, 15682, 103429, 16144, 24186, 38641, 105879, 5486, 113614, 20230, 109606, 16144, 101182, 116537, 85701, 33503, 30512, 111098, 76622, 115408, 29295, 125683, 109315, 114797, 73361, 108171, 102456, 20230, 125174, 109913, 107290, 64121, 38144, 72315, 1811, 28873, 53953, 29295, 104405, 120837, 125764, 106956, 39177, 15682, 5486, 105343, 107792, 125030, 104028, 102944, 30512, 102456, 112772, 83747, 33857, 99046, 224, 30369, 106592, 33334, 125683, 62004, 78434, 9174, 13177, 104473, 107654, 16144, 105284, 30512, 45736, 109315, 122908, 52591, 106150, 105635, 16144, 114797, 73361, 108171, 102456, 107118, 11571, 59712, 103167, 33014, 104840, 15682, 103429, 95221, 30512, 113801, 125119, 17663, 10646, 128001, 128000, 72718, 101275, 77750, 26450, 871, 107531, 17792, 964, 125175, 124720, 871, 108547, 9039, 40452, 103223, 64178, 198, 49792, 9039, 40452, 103223, 64178, 107118, 5486, 102208, 107420, 109531, 110548, 114556, 78183, 30369, 17792, 9039, 9458, 103911, 70203, 9458, 104010, 9039, 30512, 115681, 122282, 39926, 5486, 107420, 109531, 110548, 16144, 47260, 71634, 71289, 121101, 103130, 15017, 245, 104088, 105262, 33208, 39926, 124089, 103223, 64178, 38641, 9174, 13177, 20656, 16556, 40452, 103792, 107493, 16995, 43514, 16995, 43514, 17701, 48634, 54926, 112973, 28190, 105987, 10646, 36896, 103130, 15017, 245, 71289, 49792, 9039, 30512, 15120, 30832, 16556, 78183, 107277, 126172, 47884, 64531, 22649, 56051, 16995, 66383, 95604, 24273, 107898, 125683, 62004, 38641, 9174, 51330, 77219, 77181, 5486, 49792, 9039, 40452, 103223, 64178, 71289, 102647, 102802, 24273, 16144, 120098, 5486, 39850, 37823, 67075, 9458, 68408, 39850, 37823, 67075, 5486, 105755, 8239, 114503, 112535, 107740, 54926, 124122, 61633, 28542, 30512, 50338, 108323, 109768, 50834, 33541, 9174, 51330, 122481, 16144, 30832, 33671, 198, 115240, 20834, 105586, 24186, 111708, 57, 1741, 10646, 119695, 6748, 198, 49792, 9039, 40452, 121142, 103470, 5486, 122626, 40452, 71289, 109198, 107691, 40452, 5486, 114731, 17486, 254, 40452, 71289, 106613, 106382, 40452, 103296, 23039, 105262, 57, 1741, 9174, 51330, 103223, 64178, 15120, 59739, 16556, 107420, 109531, 110548, 123863, 103826, 104680, 26854, 121432, 30512, 15120, 106885, 16556, 40452, 108608, 103846, 5486, 115289, 122279, 32149, 59739, 22398, 91062, 106240, 20230, 107420, 109531, 110548, 30512, 103130, 109315, 105908, 88367, 121711, 33541, 9174, 9458, 107420, 109531, 110548, 40452, 198, 9458, 75146, 116388, 121101, 39276, 102494, 115478, 64178, 198, 9458, 108134, 55999, 19361, 39276, 102494, 115478, 64178, 198, 116718, 15682, 33334, 99397, 16995, 114146, 29295, 109215, 38641, 9174, 115240, 20834, 105586, 24186, 111708, 3792, 848, 10646, 119695, 6748, 198, 57207, 108969, 33710, 26854, 68408, 126590, 16556, 5486, 112832, 72661, 74245, 99750, 112535, 41190, 108608, 3792, 848, 9174, 20713, 118821, 125540, 67075, 108526, 103202, 16556, 124180, 39850, 127058, 16144, 19967, 101275, 127749, 30512, 106483, 119178, 102178, 111665, 103082, 5486, 102472, 52414, 109933, 84477, 71289, 68759, 106696, 71634, 107060, 16556, 19967, 101275, 82420, 55723, 29295, 15120, 30832, 104921, 255, 61994, 9174, 48915, 34048, 125175, 110792, 89046, 120988, 32977, 105843, 103350, 127145, 9174, 9458, 111681, 104482, 40452, 198, 9458, 66953, 41758, 40452, 123141, 198, 9458, 66953, 78767, 78205, 16073, 40452, 198, 104971, 105335, 108337, 107610, 93488, 10110, 121568, 70141, 76622, 7705, 83354, 198, 9458, 17, 11, 3443, 35757, 611, 102240, 198, 104971, 105335, 108506, 65575, 57326, 93488, 10110, 121568, 71289, 31809, 106045, 54872, 124180, 70141, 76622, 7705, 83354, 198, 9458, 806, 11, 4728, 35757, 611, 102240, 198, 104971, 118192, 101198, 39880, 91062, 57326, 93488, 10110, 31809, 21909, 16325, 106045, 54872, 124180, 70141, 76622, 7705, 83354, 198, 9458, 777, 11, 4728, 35757, 611, 102240, 198, 104971, 125540, 78459, 96452, 57326, 93488, 10110, 16325, 21909, 27384, 106045, 54872, 124180, 70141, 76622, 7705, 83354, 198, 9458, 1135, 11, 931, 35757, 611, 102240, 198, 115240, 20834, 105586, 24186, 111708, 6971, 370, 822, 0, 10646, 119695, 6748, 198, 508, 32307, 61337, 30512, 72404, 105262, 114435, 16556, 106839, 17701, 110731, 6971, 370, 822, 0, 9174, 102472, 52414, 109933, 84477, 15682, 15120, 106885, 16556, 76739, 122086, 33710, 104774, 106696, 117158, 48634, 108608, 103846, 5486, 102181, 28190, 113245, 120270, 16144, 104983, 32977, 51385, 64209, 38641, 9174, 112825, 110904, 41190, 16556, 103984, 112854, 112535, 17620, 107277, 126172, 16995, 55723, 28190, 26854, 105879, 5486, 85707, 64209, 30046, 72661, 33655, 16995, 22957, 26854, 122101, 49792, 9039, 40452, 103223, 64178, 38641, 9174, 9458, 27384, 37729, 33857, 104774, 106696, 55999, 19361, 198, 9458, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 198, 9458, 114435, 56965, 47260, 32131, 103672, 198, 92693, 57326, 93488, 5232, 108152, 38248, 114, 11972, 9039, 20, 13372, 103296, 198, 19361, 42506, 57326, 93488, 5232, 21, 13372, 71689, 16144, 126513, 9953, 109518, 18, 11, 3101, 35757, 21909, 38641, 9174, 108152, 38248, 114, 11972, 9039, 112212, 42506, 35330, 29295, 104721, 91875, 54926, 105879, 5486, 116718, 15682, 88852, 16144, 77219, 30512, 48154, 114140, 72315, 9174, 115240, 20834, 105586, 24186, 111708, 6161, 6095, 10646, 119695, 6748, 198, 76739, 123581, 114676, 16144, 112169, 76622, 20230, 19967, 109115, 103223, 64178, 16556, 5486, 49792, 9039, 40452, 29295, 15024, 126172, 16995, 38641, 9174, 127177, 964, 103223, 64178, 102052, 100604, 13177, 78459, 113821, 118587, 11883, 102532, 47307, 115592, 40452, 123410, 112973, 66378, 17599, 112, 9554, 38641, 1811, 78459, 113821, 20230, 125104, 56051, 9080, 39177, 19732, 126233, 102769, 9080, 39177, 30512, 71493, 44971, 108506, 11972, 20230, 95543, 106482, 124545, 105908, 125545, 9174, 90962, 107610, 16073, 102741, 61398, 102741, 112508, 111234, 39880, 26854, 105879, 92693, 16556, 107740, 125545, 9174, 107059, 65299, 45923, 16556, 107740, 56051, 16995, 126513, 5486, 123782, 109904, 105335, 108506, 65575, 57326, 93488, 16556, 9953, 109518, 23, 11, 931, 35757, 10110, 107420, 109531, 110548, 9039, 43568, 44416, 48249, 9458, 1049, 108152, 38248, 114, 11972, 103296, 7705, 38641, 9174, 85707, 23538, 106382, 11883, 15682, 113473, 16556, 5486, 16, 113746, 16144, 92693, 33334, 106081, 21105, 234, 57903, 33541, 9174, 115240, 20834, 105586, 24186, 111708, 41, 1944, 78, 10646, 119695, 6748, 198, 102159, 103283, 16556, 47307, 115592, 30512, 40452, 54926, 102052, 114392, 123253, 1811, 33655, 105262, 121432, 32977, 105843, 103350, 126020, 5486, 2327, 32977, 91774, 126172, 16995, 38641, 9174, 124180, 119046, 16556, 33655, 30297, 126513, 106382, 11883, 103359, 8239, 114503, 29295, 103167, 16995, 19732, 112391, 30369, 107803, 115991, 33541, 9174, 92693, 57326, 93488, 5232, 108152, 38248, 114, 11972, 9039, 16, 21909, 19, 13372, 103296, 198, 19361, 42506, 57326, 93488, 5232, 108152, 38248, 114, 11972, 9039, 20, 13372, 21909, 9953, 109518, 2636, 35757, 10110, 16, 13372, 30591, 115926, 23954, 115240, 20834, 105586, 24186, 111708, 644, 2201, 8971, 10646, 119695, 6748, 198, 644, 2201, 8971, 15682, 5486, 103167, 121374, 16556, 49792, 9039, 40452, 29295, 106084, 30369, 107420, 109531, 110548, 40452, 103223, 64178, 38641, 9174, 102321, 75267, 16144, 112832, 72661, 112825, 110904, 20230, 121247, 105262, 41190, 34171, 16556, 5486, 49792, 9039, 17701, 123457, 109972, 106529, 20230, 91763, 110027, 100604, 103826, 104680, 26854, 121432, 29295, 102923, 116216, 61689, 9174, 9953, 109518, 18, 11, 931, 35757, 19732, 114435, 16144, 93132, 99397, 124059, 95221, 117355, 20230, 27704, 62004, 110071, 42506, 35330, 32977, 101523, 227, 48634, 38641, 9174, 16, 32149, 9953, 120273, 103664, 5232, 108152, 38248, 114, 11972, 9039, 16, 21909, 20, 13372, 103296, 96555, 9953, 109518, 20, 11, 931, 35757, 21909, 198, 717, 32149, 9953, 120273, 103664, 5232, 108152, 38248, 114, 11972, 9039, 16, 21909, 20, 13372, 103296, 96555, 9953, 109518, 18, 11, 931, 35757, 21909, 198, 115240, 20834, 105586, 24186, 111708, 1489, 95026, 67, 10646, 119695, 6748, 198, 1489, 95026, 67, 15682, 5486, 19967, 101275, 82973, 30512, 61304, 108565, 15024, 30832, 126365, 105262, 119526, 103306, 111134, 52591, 33208, 108608, 82973, 40452, 103223, 64178, 38641, 9174, 124180, 32943, 16556, 121101, 112649, 105784, 82973, 40452, 30512, 55999, 19361, 54926, 115789, 108608, 105879, 5486, 121101, 16144, 126120, 96455, 122060, 5486, 21990, 106518, 34171, 122060, 29295, 125494, 125545, 9174, 121568, 107740, 5232, 9953, 109518, 15, 35757, 198, 124180, 107740, 5232, 9953, 109518, 2636, 35757, 21909, 10110, 16, 13372, 30591, 115926, 7705, 104856, 76947, 61689, 9174, 124180, 107740, 16144, 126513, 125151, 103792, 17792, 9039, 16556, 122282, 117824, 16995, 5486, 125151, 124180, 29295, 116880, 103792, 126513, 125151, 124180, 17620, 16144, 107740, 42506, 35330, 29295, 32149, 107277, 33541, 9174, 115240, 20834, 105586, 24186, 111708, 41, 1279, 10646, 119695, 6748, 198, 107420, 107167, 76739, 25197, 47307, 38248, 226, 114835, 108695, 70141, 76622, 20230, 19967, 109115, 110191, 118372, 71634, 44971, 78767, 125175, 38641, 9174, 127177, 110191, 118372, 71634, 44971, 78767, 19732, 57106, 103854, 5486, 107167, 76739, 25197, 102514, 125030, 76947, 102924, 60632, 26854, 121432, 29295, 43240, 47884, 57903, 33541, 9174, 118075, 16, 108152, 38248, 114, 11972, 5232, 9953, 109518, 18, 11, 931, 35757, 198, 119560, 16, 5494, 5232, 9953, 109518, 508, 35757, 198, 118075, 18028, 108152, 38248, 114, 11972, 9039, 121409, 119560, 18028, 38129, 37729, 33857, 16144, 42506, 35330, 29295, 9953, 109518, 106382, 11883, 121711, 33541, 9174, 115240, 20834, 105586, 24186, 111708, 2170, 3444, 10646, 119695, 6748, 198, 2170, 3444, 15682, 101828, 19732, 111199, 30512, 75146, 104873, 114267, 91774, 126172, 16995, 2327, 29295, 66378, 17599, 112, 9554, 38641, 9174, 123577, 84477, 104612, 33710, 29295, 105843, 103350, 126020, 5486, 964, 103223, 64178, 124905, 16995, 101557, 96, 33121, 126386, 17792, 105352, 106759, 102769, 38641, 9174, 42506, 35330, 57326, 93488, 15682, 13177, 16323, 59712, 67567, 59712, 23562, 59712, 86747, 10646, 20230, 17620, 32149, 106824, 61689, 9174, 13177, 67567, 10646, 5232, 9953, 109518, 16, 11, 1049, 35757, 52118, 868, 17792, 71689, 16144, 124180, 71289, 31809, 106045, 54872, 114435, 107898, 125683, 62004, 38641, 9174, 13177, 23562, 10646, 5232, 9953, 109518, 17, 11, 7007, 35757, 52118, 109242, 9039, 16144, 107420, 109531, 110548, 30512, 108623, 105262, 16325, 106045, 54872, 114435, 107898, 125683, 62004, 38641, 9174, 92693, 57326, 93488, 29295, 11883, 37689, 116216, 61689, 9174, 115240, 20834, 105586, 24186, 111708, 2213, 29100, 10646, 119695, 6748, 198, 118953, 107610, 111234, 39880, 16144, 51169, 4816, 753, 87683, 19732, 126419, 20230, 33655, 105262, 121101, 39880, 115507, 19967, 13153, 103223, 64178, 38641, 9174, 2213, 29100, 124905, 76947, 5486, 112167, 101275, 9080, 78943, 71289, 55038, 13821, 111, 40452, 104309, 30512, 99695, 113390, 117163, 22398, 33208, 125545, 9174, 76739, 122086, 33710, 71289, 39850, 64178, 16556, 23039, 106358, 66776, 126120, 96455, 26854, 121101, 117120, 22649, 32977, 5486, 103826, 104680, 26854, 91482, 76428, 102750, 22398, 57207, 107060, 113115, 106608, 56051, 39880, 115507, 16556, 112825, 110904, 20230, 123141, 33208, 125545, 9174, 2213, 29100, 15682, 51169, 4816, 596, 87683, 30512, 125540, 67075, 108526, 103202, 103306, 91875, 19967, 54926, 103846, 5486, 2213, 29100, 110904, 33014, 113245, 107740, 15682, 103082, 107515, 9174, 107059, 65299, 45923, 41401, 77181, 108152, 38248, 114, 9039, 16, 17792, 30591, 115926, 9953, 109518, 13104, 35757, 21909, 121711, 33541, 9174, 114950, 5486, 102803, 64810, 107446, 114308, 16144, 31809, 106045, 54872, 80805, 26269, 102663, 78767, 41401, 15682, 9953, 109518, 2031, 11, 4728, 35757, 21909, 5486, 27384, 106045, 54872, 80805, 26269, 102663, 78767, 41401, 77181, 9953, 109518, 3443, 11, 931, 35757, 21909, 11883, 37689, 116216, 61689, 9174, 49792, 9039, 40452, 103223, 64178, 102052, 5486, 49792, 9039, 103911, 70203, 9458, 53229, 95001, 40452, 9458, 114731, 17486, 254, 40452, 9458, 44971, 121057, 121432, 104309, 43240, 103311, 26854, 121432, 29295, 113265, 107121, 116216, 61689, 9174, 57980, 76947, 5486, 37026, 61337, 20230, 106839, 17701, 54926, 49792, 9039, 40452, 103223, 64178, 30512, 102647, 23187, 54926, 104983, 15682, 5486, 37026, 61337, 16144, 107420, 109531, 110548, 20230, 114146, 38144, 5486, 67645, 16144, 121432, 29295, 109215, 32149, 30512, 31958, 105184, 117657, 109215, 115991, 33541, 9174, 107420, 109531, 110548, 16144, 67645, 16144, 105494, 30512, 31540, 103984, 33208, 56051, 16995, 104865, 5486, 92693, 20251, 102803, 107908, 71289, 68408, 102494, 30512, 38129, 39926, 111800, 118219, 39926, 64121, 17129, 109954, 9174, 49792, 9039, 40452, 103223, 64178, 102052, 5486, 107059, 65299, 45923, 25287, 19732, 76171, 71634, 64178, 25287, 16144, 17, 104091, 104770, 57903, 33541, 9174, 107059, 65299, 45923, 25287, 15682, 124773, 123437, 67075, 117501, 29295, 30591, 104984, 116414, 55031, 72661, 19967, 101275, 88367, 5486, 76171, 71634, 64178, 25287, 15682 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 25005, 247, 102540, 112479, 60358, 8107, 5486, 103271, 105466, 59563, 34048, 106848, 16556, 15308, 121, 107517, 110731, 112193, 25005, 247, 102540, 38641, 1811, 101083, 56965, 108936, 77181, 5486, 91482, 47307, 101198, 16073, 117812, 15682, 28873, 53953, 55031, 19732, 30369, 112973, 104712, 102083, 78183, 106824, 61689, 29295, 5486, 103350, 15682, 28873, 53953, 15682, 104473, 107654, 30512, 21980, 248, 15024, 5486, 91939, 225, 101921, 116, 16144, 122502, 50834, 30512, 112294, 107436, 114732, 122502, 50834, 107407, 16144, 38641, 1811, 66378, 20230, 5486, 107969, 115351, 119208, 53229, 106518, 16144, 28873, 53953, 10110, 66953, 96452, 96452, 5486, 80805, 80805, 117733, 5486, 80805, 25197, 96452, 103830, 33710, 5486, 111817, 103621, 11972, 50667, 119735, 111006, 30512, 106142, 71289, 15024, 5486, 33014, 32943, 55031, 115145, 57207, 65299, 91062, 30512, 127696, 30297, 105879, 5486, 117759, 16995, 39177, 23538, 102052, 103851, 105262, 104466, 103801, 109954, 1811, 104735, 251, 29295, 108631, 16995, 19732, 14276, 244, 116825, 102532, 105564, 119188, 33334, 8107, 108385, 31431, 29295, 107991, 117840, 29295, 5486, 43240, 47884, 15682, 110631, 16995, 33334, 86894, 241, 45829, 71289, 28873, 53953, 16144, 99046, 224, 31431, 120195, 111848, 102944, 38641, 118855, 5486, 103167, 33014, 104840, 111571, 124911, 32977, 85701, 20230, 109638, 40265, 78434, 1811, 103167, 33014, 104840, 15682, 103429, 16144, 24186, 38641, 105879, 5486, 113614, 20230, 109606, 16144, 101182, 116537, 85701, 33503, 30512, 111098, 76622, 115408, 29295, 125683, 109315, 114797, 73361, 108171, 102456, 20230, 125174, 109913, 107290, 64121, 38144, 72315, 1811, 28873, 53953, 29295, 104405, 120837, 125764, 106956, 39177, 15682, 5486, 105343, 107792, 125030, 104028, 102944, 30512, 102456, 112772, 83747, 33857, 99046, 224, 30369, 106592, 33334, 125683, 62004, 78434, 9174, 13177, 104473, 107654, 16144, 105284, 30512, 45736, 109315, 122908, 52591, 106150, 105635, 16144, 114797, 73361, 108171, 102456, 107118, 11571, 59712, 103167, 33014, 104840, 15682, 103429, 95221, 30512, 113801, 125119, 17663, 10646, 128001, 128000, 72718, 101275, 77750, 26450, 871, 107531, 17792, 964, 125175, 124720, 871, 108547, 9039, 40452, 103223, 64178, 198, 49792, 9039, 40452, 103223, 64178, 107118, 5486, 102208, 107420, 109531, 110548, 114556, 78183, 30369, 17792, 9039, 9458, 103911, 70203, 9458, 104010, 9039, 30512, 115681, 122282, 39926, 5486, 107420, 109531, 110548, 16144, 47260, 71634, 71289, 121101, 103130, 15017, 245, 104088, 105262, 33208, 39926, 124089, 103223, 64178, 38641, 9174, 13177, 20656, 16556, 40452, 103792, 107493, 16995, 43514, 16995, 43514, 17701, 48634, 54926, 112973, 28190, 105987, 10646, 36896, 103130, 15017, 245, 71289, 49792, 9039, 30512, 15120, 30832, 16556, 78183, 107277, 126172, 47884, 64531, 22649, 56051, 16995, 66383, 95604, 24273, 107898, 125683, 62004, 38641, 9174, 51330, 77219, 77181, 5486, 49792, 9039, 40452, 103223, 64178, 71289, 102647, 102802, 24273, 16144, 120098, 5486, 39850, 37823, 67075, 9458, 68408, 39850, 37823, 67075, 5486, 105755, 8239, 114503, 112535, 107740, 54926, 124122, 61633, 28542, 30512, 50338, 108323, 109768, 50834, 33541, 9174, 51330, 122481, 16144, 30832, 33671, 198, 115240, 20834, 105586, 24186, 111708, 57, 1741, 10646, 119695, 6748, 198, 49792, 9039, 40452, 121142, 103470, 5486, 122626, 40452, 71289, 109198, 107691, 40452, 5486, 114731, 17486, 254, 40452, 71289, 106613, 106382, 40452, 103296, 23039, 105262, 57, 1741, 9174, 51330, 103223, 64178, 15120, 59739, 16556, 107420, 109531, 110548, 123863, 103826, 104680, 26854, 121432, 30512, 15120, 106885, 16556, 40452, 108608, 103846, 5486, 115289, 122279, 32149, 59739, 22398, 91062, 106240, 20230, 107420, 109531, 110548, 30512, 103130, 109315, 105908, 88367, 121711, 33541, 9174, 9458, 107420, 109531, 110548, 40452, 198, 9458, 75146, 116388, 121101, 39276, 102494, 115478, 64178, 198, 9458, 108134, 55999, 19361, 39276, 102494, 115478, 64178, 198, 116718, 15682, 33334, 99397, 16995, 114146, 29295, 109215, 38641, 9174, 115240, 20834, 105586, 24186, 111708, 3792, 848, 10646, 119695, 6748, 198, 57207, 108969, 33710, 26854, 68408, 126590, 16556, 5486, 112832, 72661, 74245, 99750, 112535, 41190, 108608, 3792, 848, 9174, 20713, 118821, 125540, 67075, 108526, 103202, 16556, 124180, 39850, 127058, 16144, 19967, 101275, 127749, 30512, 106483, 119178, 102178, 111665, 103082, 5486, 102472, 52414, 109933, 84477, 71289, 68759, 106696, 71634, 107060, 16556, 19967, 101275, 82420, 55723, 29295, 15120, 30832, 104921, 255, 61994, 9174, 48915, 34048, 125175, 110792, 89046, 120988, 32977, 105843, 103350, 127145, 9174, 9458, 111681, 104482, 40452, 198, 9458, 66953, 41758, 40452, 123141, 198, 9458, 66953, 78767, 78205, 16073, 40452, 198, 104971, 105335, 108337, 107610, 93488, 10110, 121568, 70141, 76622, 7705, 83354, 198, 9458, 17, 11, 3443, 35757, 611, 102240, 198, 104971, 105335, 108506, 65575, 57326, 93488, 10110, 121568, 71289, 31809, 106045, 54872, 124180, 70141, 76622, 7705, 83354, 198, 9458, 806, 11, 4728, 35757, 611, 102240, 198, 104971, 118192, 101198, 39880, 91062, 57326, 93488, 10110, 31809, 21909, 16325, 106045, 54872, 124180, 70141, 76622, 7705, 83354, 198, 9458, 777, 11, 4728, 35757, 611, 102240, 198, 104971, 125540, 78459, 96452, 57326, 93488, 10110, 16325, 21909, 27384, 106045, 54872, 124180, 70141, 76622, 7705, 83354, 198, 9458, 1135, 11, 931, 35757, 611, 102240, 198, 115240, 20834, 105586, 24186, 111708, 6971, 370, 822, 0, 10646, 119695, 6748, 198, 508, 32307, 61337, 30512, 72404, 105262, 114435, 16556, 106839, 17701, 110731, 6971, 370, 822, 0, 9174, 102472, 52414, 109933, 84477, 15682, 15120, 106885, 16556, 76739, 122086, 33710, 104774, 106696, 117158, 48634, 108608, 103846, 5486, 102181, 28190, 113245, 120270, 16144, 104983, 32977, 51385, 64209, 38641, 9174, 112825, 110904, 41190, 16556, 103984, 112854, 112535, 17620, 107277, 126172, 16995, 55723, 28190, 26854, 105879, 5486, 85707, 64209, 30046, 72661, 33655, 16995, 22957, 26854, 122101, 49792, 9039, 40452, 103223, 64178, 38641, 9174, 9458, 27384, 37729, 33857, 104774, 106696, 55999, 19361, 198, 9458, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 198, 9458, 114435, 56965, 47260, 32131, 103672, 198, 92693, 57326, 93488, 5232, 108152, 38248, 114, 11972, 9039, 20, 13372, 103296, 198, 19361, 42506, 57326, 93488, 5232, 21, 13372, 71689, 16144, 126513, 9953, 109518, 18, 11, 3101, 35757, 21909, 38641, 9174, 108152, 38248, 114, 11972, 9039, 112212, 42506, 35330, 29295, 104721, 91875, 54926, 105879, 5486, 116718, 15682, 88852, 16144, 77219, 30512, 48154, 114140, 72315, 9174, 115240, 20834, 105586, 24186, 111708, 6161, 6095, 10646, 119695, 6748, 198, 76739, 123581, 114676, 16144, 112169, 76622, 20230, 19967, 109115, 103223, 64178, 16556, 5486, 49792, 9039, 40452, 29295, 15024, 126172, 16995, 38641, 9174, 127177, 964, 103223, 64178, 102052, 100604, 13177, 78459, 113821, 118587, 11883, 102532, 47307, 115592, 40452, 123410, 112973, 66378, 17599, 112, 9554, 38641, 1811, 78459, 113821, 20230, 125104, 56051, 9080, 39177, 19732, 126233, 102769, 9080, 39177, 30512, 71493, 44971, 108506, 11972, 20230, 95543, 106482, 124545, 105908, 125545, 9174, 90962, 107610, 16073, 102741, 61398, 102741, 112508, 111234, 39880, 26854, 105879, 92693, 16556, 107740, 125545, 9174, 107059, 65299, 45923, 16556, 107740, 56051, 16995, 126513, 5486, 123782, 109904, 105335, 108506, 65575, 57326, 93488, 16556, 9953, 109518, 23, 11, 931, 35757, 10110, 107420, 109531, 110548, 9039, 43568, 44416, 48249, 9458, 1049, 108152, 38248, 114, 11972, 103296, 7705, 38641, 9174, 85707, 23538, 106382, 11883, 15682, 113473, 16556, 5486, 16, 113746, 16144, 92693, 33334, 106081, 21105, 234, 57903, 33541, 9174, 115240, 20834, 105586, 24186, 111708, 41, 1944, 78, 10646, 119695, 6748, 198, 102159, 103283, 16556, 47307, 115592, 30512, 40452, 54926, 102052, 114392, 123253, 1811, 33655, 105262, 121432, 32977, 105843, 103350, 126020, 5486, 2327, 32977, 91774, 126172, 16995, 38641, 9174, 124180, 119046, 16556, 33655, 30297, 126513, 106382, 11883, 103359, 8239, 114503, 29295, 103167, 16995, 19732, 112391, 30369, 107803, 115991, 33541, 9174, 92693, 57326, 93488, 5232, 108152, 38248, 114, 11972, 9039, 16, 21909, 19, 13372, 103296, 198, 19361, 42506, 57326, 93488, 5232, 108152, 38248, 114, 11972, 9039, 20, 13372, 21909, 9953, 109518, 2636, 35757, 10110, 16, 13372, 30591, 115926, 23954, 115240, 20834, 105586, 24186, 111708, 644, 2201, 8971, 10646, 119695, 6748, 198, 644, 2201, 8971, 15682, 5486, 103167, 121374, 16556, 49792, 9039, 40452, 29295, 106084, 30369, 107420, 109531, 110548, 40452, 103223, 64178, 38641, 9174, 102321, 75267, 16144, 112832, 72661, 112825, 110904, 20230, 121247, 105262, 41190, 34171, 16556, 5486, 49792, 9039, 17701, 123457, 109972, 106529, 20230, 91763, 110027, 100604, 103826, 104680, 26854, 121432, 29295, 102923, 116216, 61689, 9174, 9953, 109518, 18, 11, 931, 35757, 19732, 114435, 16144, 93132, 99397, 124059, 95221, 117355, 20230, 27704, 62004, 110071, 42506, 35330, 32977, 101523, 227, 48634, 38641, 9174, 16, 32149, 9953, 120273, 103664, 5232, 108152, 38248, 114, 11972, 9039, 16, 21909, 20, 13372, 103296, 96555, 9953, 109518, 20, 11, 931, 35757, 21909, 198, 717, 32149, 9953, 120273, 103664, 5232, 108152, 38248, 114, 11972, 9039, 16, 21909, 20, 13372, 103296, 96555, 9953, 109518, 18, 11, 931, 35757, 21909, 198, 115240, 20834, 105586, 24186, 111708, 1489, 95026, 67, 10646, 119695, 6748, 198, 1489, 95026, 67, 15682, 5486, 19967, 101275, 82973, 30512, 61304, 108565, 15024, 30832, 126365, 105262, 119526, 103306, 111134, 52591, 33208, 108608, 82973, 40452, 103223, 64178, 38641, 9174, 124180, 32943, 16556, 121101, 112649, 105784, 82973, 40452, 30512, 55999, 19361, 54926, 115789, 108608, 105879, 5486, 121101, 16144, 126120, 96455, 122060, 5486, 21990, 106518, 34171, 122060, 29295, 125494, 125545, 9174, 121568, 107740, 5232, 9953, 109518, 15, 35757, 198, 124180, 107740, 5232, 9953, 109518, 2636, 35757, 21909, 10110, 16, 13372, 30591, 115926, 7705, 104856, 76947, 61689, 9174, 124180, 107740, 16144, 126513, 125151, 103792, 17792, 9039, 16556, 122282, 117824, 16995, 5486, 125151, 124180, 29295, 116880, 103792, 126513, 125151, 124180, 17620, 16144, 107740, 42506, 35330, 29295, 32149, 107277, 33541, 9174, 115240, 20834, 105586, 24186, 111708, 41, 1279, 10646, 119695, 6748, 198, 107420, 107167, 76739, 25197, 47307, 38248, 226, 114835, 108695, 70141, 76622, 20230, 19967, 109115, 110191, 118372, 71634, 44971, 78767, 125175, 38641, 9174, 127177, 110191, 118372, 71634, 44971, 78767, 19732, 57106, 103854, 5486, 107167, 76739, 25197, 102514, 125030, 76947, 102924, 60632, 26854, 121432, 29295, 43240, 47884, 57903, 33541, 9174, 118075, 16, 108152, 38248, 114, 11972, 5232, 9953, 109518, 18, 11, 931, 35757, 198, 119560, 16, 5494, 5232, 9953, 109518, 508, 35757, 198, 118075, 18028, 108152, 38248, 114, 11972, 9039, 121409, 119560, 18028, 38129, 37729, 33857, 16144, 42506, 35330, 29295, 9953, 109518, 106382, 11883, 121711, 33541, 9174, 115240, 20834, 105586, 24186, 111708, 2170, 3444, 10646, 119695, 6748, 198, 2170, 3444, 15682, 101828, 19732, 111199, 30512, 75146, 104873, 114267, 91774, 126172, 16995, 2327, 29295, 66378, 17599, 112, 9554, 38641, 9174, 123577, 84477, 104612, 33710, 29295, 105843, 103350, 126020, 5486, 964, 103223, 64178, 124905, 16995, 101557, 96, 33121, 126386, 17792, 105352, 106759, 102769, 38641, 9174, 42506, 35330, 57326, 93488, 15682, 13177, 16323, 59712, 67567, 59712, 23562, 59712, 86747, 10646, 20230, 17620, 32149, 106824, 61689, 9174, 13177, 67567, 10646, 5232, 9953, 109518, 16, 11, 1049, 35757, 52118, 868, 17792, 71689, 16144, 124180, 71289, 31809, 106045, 54872, 114435, 107898, 125683, 62004, 38641, 9174, 13177, 23562, 10646, 5232, 9953, 109518, 17, 11, 7007, 35757, 52118, 109242, 9039, 16144, 107420, 109531, 110548, 30512, 108623, 105262, 16325, 106045, 54872, 114435, 107898, 125683, 62004, 38641, 9174, 92693, 57326, 93488, 29295, 11883, 37689, 116216, 61689, 9174, 115240, 20834, 105586, 24186, 111708, 2213, 29100, 10646, 119695, 6748, 198, 118953, 107610, 111234, 39880, 16144, 51169, 4816, 753, 87683, 19732, 126419, 20230, 33655, 105262, 121101, 39880, 115507, 19967, 13153, 103223, 64178, 38641, 9174, 2213, 29100, 124905, 76947, 5486, 112167, 101275, 9080, 78943, 71289, 55038, 13821, 111, 40452, 104309, 30512, 99695, 113390, 117163, 22398, 33208, 125545, 9174, 76739, 122086, 33710, 71289, 39850, 64178, 16556, 23039, 106358, 66776, 126120, 96455, 26854, 121101, 117120, 22649, 32977, 5486, 103826, 104680, 26854, 91482, 76428, 102750, 22398, 57207, 107060, 113115, 106608, 56051, 39880, 115507, 16556, 112825, 110904, 20230, 123141, 33208, 125545, 9174, 2213, 29100, 15682, 51169, 4816, 596, 87683, 30512, 125540, 67075, 108526, 103202, 103306, 91875, 19967, 54926, 103846, 5486, 2213, 29100, 110904, 33014, 113245, 107740, 15682, 103082, 107515, 9174, 107059, 65299, 45923, 41401, 77181, 108152, 38248, 114, 9039, 16, 17792, 30591, 115926, 9953, 109518, 13104, 35757, 21909, 121711, 33541, 9174, 114950, 5486, 102803, 64810, 107446, 114308, 16144, 31809, 106045, 54872, 80805, 26269, 102663, 78767, 41401, 15682, 9953, 109518, 2031, 11, 4728, 35757, 21909, 5486, 27384, 106045, 54872, 80805, 26269, 102663, 78767, 41401, 77181, 9953, 109518, 3443, 11, 931, 35757, 21909, 11883, 37689, 116216, 61689, 9174, 49792, 9039, 40452, 103223, 64178, 102052, 5486, 49792, 9039, 103911, 70203, 9458, 53229, 95001, 40452, 9458, 114731, 17486, 254, 40452, 9458, 44971, 121057, 121432, 104309, 43240, 103311, 26854, 121432, 29295, 113265, 107121, 116216, 61689, 9174, 57980, 76947, 5486, 37026, 61337, 20230, 106839, 17701, 54926, 49792, 9039, 40452, 103223, 64178, 30512, 102647, 23187, 54926, 104983, 15682, 5486, 37026, 61337, 16144, 107420, 109531, 110548, 20230, 114146, 38144, 5486, 67645, 16144, 121432, 29295, 109215, 32149, 30512, 31958, 105184, 117657, 109215, 115991, 33541, 9174, 107420, 109531, 110548, 16144, 67645, 16144, 105494, 30512, 31540, 103984, 33208, 56051, 16995, 104865, 5486, 92693, 20251, 102803, 107908, 71289, 68408, 102494, 30512, 38129, 39926, 111800, 118219, 39926, 64121, 17129, 109954, 9174, 49792, 9039, 40452, 103223, 64178, 102052, 5486, 107059, 65299, 45923, 25287, 19732, 76171, 71634, 64178, 25287, 16144, 17, 104091, 104770, 57903, 33541, 9174, 107059, 65299, 45923, 25287, 15682, 124773, 123437, 67075, 117501, 29295, 30591, 104984, 116414, 55031, 72661, 19967, 101275, 88367, 5486, 76171, 71634, 64178, 25287, 15682 ]
[ 127637, 76171, 71634, 64178, 126693, 90962, 52591, 118372, 72661, 19967, 101275, 88367, 104856, 76947, 61689, 9174, 107059, 65299, 45923, 25287, 15682, 116700, 41007, 32977, 112825, 110904, 16556, 46034, 117355, 20230, 106839, 17701, 108608, 95543, 28190, 5486, 64810, 123283, 37823, 103906, 28190, 113245, 112997, 29220, 29295, 112183, 61689, 1811, 76171, 71634, 64178, 25287, 15682, 76171, 71634, 64178, 103296, 16144, 82973, 9458, 116700, 16144, 46034, 56965, 29295, 32149, 107277, 33541, 29295, 5486, 64810, 123283, 37823, 103906, 28190, 77181, 51385, 64209, 38641, 9174, 51330, 104466, 77693, 108422, 33121, 101544, 32938, 9458, 106649, 32938, 107407, 103846, 5486, 37026, 61337, 16144, 127749, 20230, 40862, 100472, 117809, 16144, 103223, 64178, 30512, 121507, 54926, 109215, 115991, 33541, 9174, 49792, 9039, 40452, 15682, 107420, 109531, 110548, 40452, 30512, 96412, 62004, 5486, 9080, 40053, 16144, 121101, 30512, 126120, 96455, 33208, 54926, 103223, 64178, 38641, 109807, 103846, 5486, 126843, 15682, 61337, 32943, 9458, 61337, 102351, 20230, 23187, 100815, 124545, 105908, 27384, 102769, 38641, 9174, 57980, 76947, 5486, 49792, 9039, 40452, 103223, 64178, 102647, 23187, 16144, 104983, 15682, 5486, 112832, 72661, 33655, 114774, 17663, 47884, 5486, 112832, 29295, 91774, 111243, 17620, 107277, 126172, 16995, 121432, 9458, 55723, 28190, 103195, 109215, 115991, 33541, 9174, 17701, 48634, 41007, 29295, 112825, 110904, 16556, 5486, 106596, 113702, 16144, 52563, 29295, 78183, 107277, 126172, 16995, 49792, 9039, 40452, 103223, 64178, 30512, 121507, 54926, 104466, 103801, 109954, 9174, 49792, 9039, 40452, 103223, 64178, 30512, 105755, 8239, 114503, 112535, 107740, 54926, 113009, 5486, 88852, 16144, 17, 28542, 30512, 110408, 30813, 107290, 33334, 126145, 103424, 117201, 109954, 9174, 49792, 9039, 40452, 103223, 64178, 102052, 5486, 107420, 109531, 110548, 40452, 20230, 66378, 33208, 103792, 117809, 19732, 5486, 122626, 40452, 9458, 19000, 107086, 40452, 9458, 106613, 106382, 40452, 104309, 118969, 75694, 17129, 26854, 121432, 112028, 34048, 103306, 49792, 9039, 40452, 121432, 29295, 113265, 107121, 110731, 117809, 19732, 115991, 33541, 9174, 25197, 102832, 52414, 101275, 127303, 104984, 107420, 109531, 110548, 40452, 66378, 33208, 117809, 5486, 105107, 67178, 101275, 127303, 104984, 122626, 40452, 103296, 88367, 26854, 117809, 104309, 5486, 37026, 61337, 16144, 101275, 104091, 71289, 107420, 109531, 110548, 16144, 104091, 104770, 20230, 106608, 100204, 28713, 49792, 9039, 40452, 103223, 64178, 30512, 106839, 17701, 54926, 118733, 5486, 105755, 8239, 114503, 112535, 103223, 64178, 30512, 107740, 125545, 9174, 14783, 71493, 44971, 108506, 38248, 226, 7594, 474, 9458, 16047, 6919, 104309, 5486, 17663, 16556, 20230, 61337, 32943, 16556, 107740, 103792, 61337, 32943, 50, 2507, 103223, 64178, 29295, 30591, 104984, 115847, 120577, 48915, 34048, 125175, 19732, 89046, 120988, 108608, 49792, 9039, 40452, 103223, 64178, 30512, 106839, 17701, 54926, 112973, 33334, 125683, 62004, 38641, 9174, 48915, 34048, 125175, 19732, 89046, 120988, 54926, 118733, 37823, 68759, 76171, 45923, 29295, 37705, 103468, 31431, 5486, 124180, 32943, 113245, 55999, 19361, 29295, 15024, 126172, 47884, 109020, 104309, 5486, 107420, 109531, 110548, 40452, 123863, 108134, 55999, 19361, 29295, 105755, 22398, 91062, 106240, 120650, 105262, 101200, 115717, 33541, 9174, 49792, 9039, 40452, 103223, 64178, 30512, 11883, 16995, 104533, 5486, 104612, 33710, 107507, 91062, 16556, 103130, 15017, 245, 127749, 29295, 31540, 103984, 33208, 107001, 103846, 5486, 61337, 102351, 122485, 15120, 114754, 19967, 101275, 126120, 96455, 71289, 49792, 9039, 103350, 116486, 102083, 100472, 108134, 30512, 15120, 30832, 16556, 102178, 111665, 125545, 9174, 108064, 5486, 112832, 29295, 5486, 67645, 120950, 121101, 117824, 100472, 32149, 29295, 31958, 105184, 108176, 118733, 5486, 107420, 109531, 110548, 16144, 116748, 77913, 40862, 71289, 105994, 116907, 16144, 117876, 104369, 31431, 104309, 30512, 65854, 114181, 112535, 91774, 110071, 103846, 5486, 105755, 118789, 109904, 123120, 30512, 125119, 15024, 126172, 115737, 31431, 33541, 9174, 49792, 9039, 40452, 103223, 64178, 113468, 107420, 109531, 110548, 37087, 33014, 15682, 32977, 43514, 85791, 25827, 5486, 102159, 104680, 16144, 122502, 50834, 104369, 31431, 32977, 102178, 111665, 108608, 105908, 5486, 21990, 106518, 34171, 16144, 70141, 17905, 105352, 103721, 233, 29295, 31431, 33541, 9174, 49792, 9039, 40452, 15682, 20656, 72661, 125545, 29295, 5486, 103223, 64178, 30512, 106839, 17701, 56051, 24273, 29295, 109215, 26854, 30926, 105904, 30512, 17701, 48634, 54926, 121142, 111587, 104004, 103846, 5486, 124180, 37087, 33014, 16144, 121101, 30512, 126120, 96455, 112535, 103130, 62004, 102204, 33541, 9174, 124180, 37087, 33014, 16144, 127749, 15682, 67645, 16144, 101200, 101983, 103836, 104865, 5486, 103223, 64178, 30512, 76706, 11883, 126693, 15120, 30832, 104921, 255, 61994, 16144, 103846, 5486, 108526, 117243, 30512, 15024, 126172, 115737, 31431, 33541, 9174, 53900, 108048, 108422, 33121, 16144, 107420, 109531, 110548, 122692, 49792, 9039, 30512, 119526, 103306, 105623, 226, 108882, 108608, 103846, 5486, 107420, 109531, 110548, 103350, 102923, 122692, 127348, 86867, 71289, 22398, 102663, 115478, 64178, 19967, 13153, 50667, 5486, 33671, 18904, 107420, 109531, 110548, 102416, 70141, 107674, 23226, 106594, 32977, 23039, 114774, 17663, 115737, 31431, 33541, 9174, 49792, 9039, 40452, 103223, 64178, 30512, 76706, 11883, 112990, 5486, 61337, 32943, 77181, 32977, 43514, 85791, 25827, 5486, 61337, 48915, 16144, 18655, 73686, 61826, 102416, 103359, 120837, 114225, 20230, 107420, 109531, 110548, 16144, 103130, 15017, 245, 127749, 16144, 120270, 50667, 29295, 23039, 114774, 17663, 115737, 31431, 33541, 9174, 53900, 5486, 103223, 64178, 30512, 106839, 17701, 54926, 118733, 103188, 86436, 20230, 106529, 121118, 107420, 109531, 110548, 16144, 119526, 30512, 105623, 226, 108882, 108608, 100909, 55031, 5486, 105755, 31958, 105184, 26854, 107420, 109531, 110548, 103350, 102923, 16144, 124122, 22398, 102663, 115478, 64178, 9080, 39607, 71289, 91774, 108882, 32977, 111331, 19967, 13153, 29295, 23039, 58942, 33541, 9174, 113702, 5486, 18655, 73686, 61826, 71289, 14167, 100, 65854, 20230, 29172, 81742, 54926, 107420, 109531, 110548, 16144, 102097, 27479, 29295, 115442, 31431, 5486, 14167, 100, 65854, 112624, 102780, 27479, 70141, 17905, 105352, 103721, 233, 102639, 102204, 33541, 9174, 107420, 109531, 110548, 103350, 102923, 16144, 103846, 102052, 5486, 22398, 102663, 115478, 64178, 33035, 112586, 49792, 9039, 30512, 103130, 62004, 100481, 47884, 105908, 107693, 103984, 84389, 33541, 29295, 5486, 39177, 102052, 115289, 122279, 26854, 117271, 29295, 32018, 62004, 110071, 107803, 32977, 57903, 33541, 9174, 49792, 9039, 40452, 103223, 64178, 16556, 102208, 37026, 16144, 17620, 106529, 30512, 104662, 109013, 107803, 72661, 5486, 104584, 102404, 109904, 121101, 112212, 124180, 16144, 112832, 116421, 103130, 15017, 245, 29295, 30250, 227, 115032, 126513, 5486, 124180, 32943, 16556, 71174, 119707, 76622, 30591, 76947, 108526, 117243, 54926, 105908, 27384, 102769, 38641, 9174, 49792, 9039, 40452, 103223, 64178, 30512, 106839, 17701, 56051, 55031, 102083, 76947, 5486, 114225, 20230, 22398, 91062, 106240, 20230, 76706, 11883, 103082, 104533, 15682, 48249, 31431, 107515, 9174, 126843, 15682, 103223, 64178, 102416, 109215, 30926, 105904, 16144, 17701, 48634, 117824, 100472, 31431, 5486, 61337, 102351, 102416, 103223, 64178, 76706, 11883, 123863, 120328, 89046, 117139, 117824, 30297, 109215, 107407, 103846, 5486, 106649, 117232, 77181, 103223, 64178, 111848, 106839, 17701, 8239, 114503, 29295, 112391, 102204, 100604, 115789, 57903, 33541, 9174, 57980, 76947, 5486, 49792, 9039, 40452, 103223, 64178, 106839, 17701, 25580, 55031, 103223, 64178, 76706, 11883, 121254, 107441, 16144, 107253, 104874, 30512, 50834, 43514, 25827, 103306, 33334, 50834, 17129, 109954, 9174, 21990, 106518, 34171, 30512, 70141, 17905, 107726, 5486, 121101, 30512, 126120, 96455, 33208, 108608, 49792, 9039, 40452, 103223, 64178, 15682, 5486, 107420, 109531, 110548, 103350, 102923, 121960, 59614, 116156, 16144, 103223, 64178, 102083, 114598, 103188, 78244, 77181, 124897, 9174, 105755, 22398, 91062, 106240, 26854, 107420, 109531, 110548, 29295, 103130, 62004, 110071, 101200, 5486, 112371, 104328, 37026, 61337, 20230, 109431, 56051, 49792, 9039, 40452, 103223, 64178, 30512, 102647, 23187, 9458, 106839, 17701, 39926, 64121, 38144, 72315, 1811, 128001, 128000, 14711, 119806, 25197, 108270, 113155, 65299, 91062, 116891, 29295, 37026, 33503, 20230, 111681, 56051, 113160, 49988, 320, 2822, 13, 220, 18, 8, 51753, 63072, 109713, 70563, 72369, 108337, 20230, 107726, 38144, 112987, 124324, 117876, 16144, 101182, 106592, 114140, 119607, 103794, 198, 102756, 25197, 108270, 113155, 65299, 91062, 116891, 29295, 37026, 33503, 20230, 111681, 56051, 113160, 49988, 320, 2822, 13, 18, 340, 103794, 109713, 70563, 72369, 108337, 20230, 107726, 38144, 112987, 124324, 117876, 16144, 101182, 106592, 114140, 119607, 103794, 198, 113116, 70626, 103242, 103306, 16144, 107734, 111017, 30512, 13177, 28873, 122101, 10646, 109713, 70563, 72369, 108337, 9458, 57326, 77750, 32131, 91062, 13177, 45923, 29220, 102514, 118587, 33014, 111186, 56051, 17792, 126027, 95543, 106608, 20230, 5486, 57326, 77750, 32131, 91062, 16144, 58521, 103195, 18836, 16144, 102756, 25197, 108270, 113155, 65299, 91062, 116891, 320, 88852, 36896, 54, 116891, 66383, 105324, 102802, 33541, 8, 108295, 102895, 48552, 114475, 107674, 16144, 119627, 108048, 15682, 46091, 59739, 20230, 123011, 62004, 102204, 33541, 9174, 15120, 59739, 15682, 36896, 45923, 29220, 102514, 10646, 29295, 13153, 101544, 15024, 5486, 109713, 70563, 72369, 108337, 29295, 113116, 70626, 103242, 20230, 18655, 76947, 31640, 126832, 113146, 29295, 37507, 104533, 22023, 100204, 28713, 113116, 70626, 103242, 29295, 43240, 102518, 100909, 38641, 9174, 41920, 59739, 30832, 15682, 5486, 109713, 70563, 72369, 108337, 110792, 122756, 13177, 102987, 16995, 125641, 9554, 113841, 10646, 29295, 103082, 104533, 114516, 29295, 112391, 30369, 103296, 20230, 109215, 104468, 5486, 102717, 25827, 16144, 41920, 78244, 46091, 78244, 102677, 106649, 16995, 82973, 103351, 102677, 30926, 103350, 38641, 9174, 80539, 46091, 59739, 62004, 15682, 36896, 45923, 29220, 102514, 10646, 29295, 5486, 109713, 70563, 72369, 108337, 111848, 109683, 78244, 102158, 113954, 102677, 109606, 16144, 108936, 9554, 50338, 104662, 118816, 78698, 105262, 17792, 105459, 29295, 106307, 104680, 19732, 102321, 103468, 118733, 56051, 9174, 13177, 45923, 29220, 102514, 10646, 113115, 39926, 43240, 119064, 114754, 20379, 56051, 95543, 106608, 20230, 54, 116891, 29295, 102895, 48552, 114475, 107674, 112366, 16144, 114667, 15682, 119568, 116907, 29295, 13177, 45923, 29220, 102514, 10646, 19967, 100472, 102677, 30926, 103350, 117083, 19732, 78698, 107290, 103424, 117201, 109954, 1811, 113116, 70626, 103242, 20230, 18655, 76947, 31640, 126832, 31640, 53953, 77181, 124897, 15024, 5486, 114516, 110792, 125641, 9554, 113841, 29295, 108608, 105933, 31634, 72238, 32977, 48706, 21105, 103, 16995, 115789, 53283, 76947, 61689, 124845, 109683, 78244, 102158, 113954, 16144, 108936, 105242, 101983, 107462, 100604, 115789, 105994, 116907, 16556, 19967, 100472, 57326, 77750, 32131, 91062, 16144, 48249, 98220, 103306, 104736, 109375, 107113, 16144, 38641, 55031, 9174, 77693, 30512, 24186, 20230, 124563, 112371, 43240, 119064, 114754, 13177, 45923, 29220, 102514, 10646, 20230, 115461, 78183, 116216, 114604, 104865, 30512, 5486, 54, 116891, 15682, 113954, 119607, 19732, 113727, 79721, 109900, 30512, 124226, 118821, 107750, 99397, 102677, 83799, 16556, 122984, 127145, 9174, 15120, 59739, 15682, 115408, 127282, 85701, 103296, 16144, 114172, 102512, 16556, 5486, 114516, 30512, 101513, 109472, 112028, 104091, 103195, 19732, 78698, 105262, 109335, 105693, 119520, 5486, 109713, 70563, 72369, 108337, 16144, 20834, 102321, 113468, 108048, 29295, 105755, 37656, 40265, 34171, 114792, 59739, 102944, 118816, 113727, 110071, 101200, 117084, 105898, 1811, 109713, 70563, 72369, 108337, 16144, 69978, 59739, 67645, 120950, 110366, 28190, 29295, 51330, 105933, 113727, 24273, 30512, 113096, 103792, 120900, 32149, 9174, 112672, 5486, 17792, 49792, 53283, 27327, 320, 15836, 8, 95371, 108167, 109415, 30369, 100909, 108176, 29295, 5486, 54, 116891, 15682, 5486, 114516, 16144, 53283, 27327, 19732, 17792, 49792, 16144, 53283, 27327, 16144, 122756, 15120, 101911, 29295, 55723, 116216, 112672, 118816, 113727, 100934, 119520, 5486, 32977, 21105, 251, 112028, 101911, 29295, 119870, 64121, 104087, 58942, 109115, 107803, 5486, 67645, 120950, 105908, 125119, 30369, 104865, 32977, 86127, 127282, 103911, 108867, 15024, 109809, 101557, 106, 21105, 103, 47884, 38144, 15682, 105110, 100604, 9174, 41920, 59739, 30832, 20230, 5486, 105755, 108936, 9554, 102052, 5486, 114516, 15682, 103826, 104680, 26854, 45893, 77913, 19732, 105994, 116907, 19732, 30512, 15120, 33014, 16144, 102944, 103306, 121247, 30297, 125641, 109904, 59739, 105722, 31431, 114792, 121118, 109807, 103846, 102052, 5486, 45893, 77913, 71289, 101513, 109472, 30512, 121247, 30297, 107803, 20230, 108048, 33503, 30512, 119049, 107079, 9554, 5486, 53283, 112854, 109904, 108710, 101557, 96, 103306, 105994, 112028, 34048, 19732, 91774, 102210, 17663, 105908, 109215, 103351, 9174, 77693, 30512, 24186, 20230, 113727, 104533, 5486, 53283, 34171, 71289, 104736, 109375, 5486, 125641, 16144, 21405, 31958, 114556, 78183, 30369, 105933, 116898, 78183, 81219, 114516, 16144, 30591, 33503, 106644, 30369, 121432, 30512, 109337, 101544, 54926, 105933, 101513, 109472, 20230, 115612, 16144, 125641, 114792, 59739, 115789, 113954, 108608, 9174, 80673, 5486, 107943, 101513, 109472, 20230, 37026, 120577, 37026, 36668, 34171, 9458, 37026, 80195, 34171, 102677, 110229, 103296, 29245, 245, 39926, 114732, 102677, 115552, 30512, 5486, 118013, 82533, 17129, 76947, 113727, 103470, 38144, 15682, 105110, 100604, 16144, 111769, 32149, 9174, 114626, 20230, 115515, 102677, 113146, 15682, 5486, 106222, 37087, 33014, 106116, 16325, 72661, 102078, 59999, 248, 114305, 110162, 102667, 106116, 127177, 121606, 50667, 17129, 72661, 101513, 109472, 102677, 123604, 16556, 113954, 54926, 101427, 122, 70141, 29295, 104195, 115737, 76947, 50834, 100934, 109807, 16325, 16556, 114516, 16144, 108928, 109315, 82912, 29295, 103553, 102, 33121, 115408, 127282, 37026, 120577, 69978, 59739, 37026, 36668, 34171, 71289, 37026, 104063, 34171, 30512, 54322, 77062, 226, 54926, 32149, 107726, 124195, 114732, 113146, 101983, 103836, 9174, 107943, 16325, 16556, 5486, 101544, 23538, 20230, 78183, 28713, 76947, 48915, 117758, 76171, 57326, 67075, 110214, 20230, 116898, 78183, 81219, 115681, 9554, 37026, 104063, 112535, 91875, 47884, 101513, 109472, 20230, 5486, 59739, 109709, 101513, 109472, 16144, 123274, 115517, 103378, 20230, 103963, 25359 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 127637, 76171, 71634, 64178, 126693, 90962, 52591, 118372, 72661, 19967, 101275, 88367, 104856, 76947, 61689, 9174, 107059, 65299, 45923, 25287, 15682, 116700, 41007, 32977, 112825, 110904, 16556, 46034, 117355, 20230, 106839, 17701, 108608, 95543, 28190, 5486, 64810, 123283, 37823, 103906, 28190, 113245, 112997, 29220, 29295, 112183, 61689, 1811, 76171, 71634, 64178, 25287, 15682, 76171, 71634, 64178, 103296, 16144, 82973, 9458, 116700, 16144, 46034, 56965, 29295, 32149, 107277, 33541, 29295, 5486, 64810, 123283, 37823, 103906, 28190, 77181, 51385, 64209, 38641, 9174, 51330, 104466, 77693, 108422, 33121, 101544, 32938, 9458, 106649, 32938, 107407, 103846, 5486, 37026, 61337, 16144, 127749, 20230, 40862, 100472, 117809, 16144, 103223, 64178, 30512, 121507, 54926, 109215, 115991, 33541, 9174, 49792, 9039, 40452, 15682, 107420, 109531, 110548, 40452, 30512, 96412, 62004, 5486, 9080, 40053, 16144, 121101, 30512, 126120, 96455, 33208, 54926, 103223, 64178, 38641, 109807, 103846, 5486, 126843, 15682, 61337, 32943, 9458, 61337, 102351, 20230, 23187, 100815, 124545, 105908, 27384, 102769, 38641, 9174, 57980, 76947, 5486, 49792, 9039, 40452, 103223, 64178, 102647, 23187, 16144, 104983, 15682, 5486, 112832, 72661, 33655, 114774, 17663, 47884, 5486, 112832, 29295, 91774, 111243, 17620, 107277, 126172, 16995, 121432, 9458, 55723, 28190, 103195, 109215, 115991, 33541, 9174, 17701, 48634, 41007, 29295, 112825, 110904, 16556, 5486, 106596, 113702, 16144, 52563, 29295, 78183, 107277, 126172, 16995, 49792, 9039, 40452, 103223, 64178, 30512, 121507, 54926, 104466, 103801, 109954, 9174, 49792, 9039, 40452, 103223, 64178, 30512, 105755, 8239, 114503, 112535, 107740, 54926, 113009, 5486, 88852, 16144, 17, 28542, 30512, 110408, 30813, 107290, 33334, 126145, 103424, 117201, 109954, 9174, 49792, 9039, 40452, 103223, 64178, 102052, 5486, 107420, 109531, 110548, 40452, 20230, 66378, 33208, 103792, 117809, 19732, 5486, 122626, 40452, 9458, 19000, 107086, 40452, 9458, 106613, 106382, 40452, 104309, 118969, 75694, 17129, 26854, 121432, 112028, 34048, 103306, 49792, 9039, 40452, 121432, 29295, 113265, 107121, 110731, 117809, 19732, 115991, 33541, 9174, 25197, 102832, 52414, 101275, 127303, 104984, 107420, 109531, 110548, 40452, 66378, 33208, 117809, 5486, 105107, 67178, 101275, 127303, 104984, 122626, 40452, 103296, 88367, 26854, 117809, 104309, 5486, 37026, 61337, 16144, 101275, 104091, 71289, 107420, 109531, 110548, 16144, 104091, 104770, 20230, 106608, 100204, 28713, 49792, 9039, 40452, 103223, 64178, 30512, 106839, 17701, 54926, 118733, 5486, 105755, 8239, 114503, 112535, 103223, 64178, 30512, 107740, 125545, 9174, 14783, 71493, 44971, 108506, 38248, 226, 7594, 474, 9458, 16047, 6919, 104309, 5486, 17663, 16556, 20230, 61337, 32943, 16556, 107740, 103792, 61337, 32943, 50, 2507, 103223, 64178, 29295, 30591, 104984, 115847, 120577, 48915, 34048, 125175, 19732, 89046, 120988, 108608, 49792, 9039, 40452, 103223, 64178, 30512, 106839, 17701, 54926, 112973, 33334, 125683, 62004, 38641, 9174, 48915, 34048, 125175, 19732, 89046, 120988, 54926, 118733, 37823, 68759, 76171, 45923, 29295, 37705, 103468, 31431, 5486, 124180, 32943, 113245, 55999, 19361, 29295, 15024, 126172, 47884, 109020, 104309, 5486, 107420, 109531, 110548, 40452, 123863, 108134, 55999, 19361, 29295, 105755, 22398, 91062, 106240, 120650, 105262, 101200, 115717, 33541, 9174, 49792, 9039, 40452, 103223, 64178, 30512, 11883, 16995, 104533, 5486, 104612, 33710, 107507, 91062, 16556, 103130, 15017, 245, 127749, 29295, 31540, 103984, 33208, 107001, 103846, 5486, 61337, 102351, 122485, 15120, 114754, 19967, 101275, 126120, 96455, 71289, 49792, 9039, 103350, 116486, 102083, 100472, 108134, 30512, 15120, 30832, 16556, 102178, 111665, 125545, 9174, 108064, 5486, 112832, 29295, 5486, 67645, 120950, 121101, 117824, 100472, 32149, 29295, 31958, 105184, 108176, 118733, 5486, 107420, 109531, 110548, 16144, 116748, 77913, 40862, 71289, 105994, 116907, 16144, 117876, 104369, 31431, 104309, 30512, 65854, 114181, 112535, 91774, 110071, 103846, 5486, 105755, 118789, 109904, 123120, 30512, 125119, 15024, 126172, 115737, 31431, 33541, 9174, 49792, 9039, 40452, 103223, 64178, 113468, 107420, 109531, 110548, 37087, 33014, 15682, 32977, 43514, 85791, 25827, 5486, 102159, 104680, 16144, 122502, 50834, 104369, 31431, 32977, 102178, 111665, 108608, 105908, 5486, 21990, 106518, 34171, 16144, 70141, 17905, 105352, 103721, 233, 29295, 31431, 33541, 9174, 49792, 9039, 40452, 15682, 20656, 72661, 125545, 29295, 5486, 103223, 64178, 30512, 106839, 17701, 56051, 24273, 29295, 109215, 26854, 30926, 105904, 30512, 17701, 48634, 54926, 121142, 111587, 104004, 103846, 5486, 124180, 37087, 33014, 16144, 121101, 30512, 126120, 96455, 112535, 103130, 62004, 102204, 33541, 9174, 124180, 37087, 33014, 16144, 127749, 15682, 67645, 16144, 101200, 101983, 103836, 104865, 5486, 103223, 64178, 30512, 76706, 11883, 126693, 15120, 30832, 104921, 255, 61994, 16144, 103846, 5486, 108526, 117243, 30512, 15024, 126172, 115737, 31431, 33541, 9174, 53900, 108048, 108422, 33121, 16144, 107420, 109531, 110548, 122692, 49792, 9039, 30512, 119526, 103306, 105623, 226, 108882, 108608, 103846, 5486, 107420, 109531, 110548, 103350, 102923, 122692, 127348, 86867, 71289, 22398, 102663, 115478, 64178, 19967, 13153, 50667, 5486, 33671, 18904, 107420, 109531, 110548, 102416, 70141, 107674, 23226, 106594, 32977, 23039, 114774, 17663, 115737, 31431, 33541, 9174, 49792, 9039, 40452, 103223, 64178, 30512, 76706, 11883, 112990, 5486, 61337, 32943, 77181, 32977, 43514, 85791, 25827, 5486, 61337, 48915, 16144, 18655, 73686, 61826, 102416, 103359, 120837, 114225, 20230, 107420, 109531, 110548, 16144, 103130, 15017, 245, 127749, 16144, 120270, 50667, 29295, 23039, 114774, 17663, 115737, 31431, 33541, 9174, 53900, 5486, 103223, 64178, 30512, 106839, 17701, 54926, 118733, 103188, 86436, 20230, 106529, 121118, 107420, 109531, 110548, 16144, 119526, 30512, 105623, 226, 108882, 108608, 100909, 55031, 5486, 105755, 31958, 105184, 26854, 107420, 109531, 110548, 103350, 102923, 16144, 124122, 22398, 102663, 115478, 64178, 9080, 39607, 71289, 91774, 108882, 32977, 111331, 19967, 13153, 29295, 23039, 58942, 33541, 9174, 113702, 5486, 18655, 73686, 61826, 71289, 14167, 100, 65854, 20230, 29172, 81742, 54926, 107420, 109531, 110548, 16144, 102097, 27479, 29295, 115442, 31431, 5486, 14167, 100, 65854, 112624, 102780, 27479, 70141, 17905, 105352, 103721, 233, 102639, 102204, 33541, 9174, 107420, 109531, 110548, 103350, 102923, 16144, 103846, 102052, 5486, 22398, 102663, 115478, 64178, 33035, 112586, 49792, 9039, 30512, 103130, 62004, 100481, 47884, 105908, 107693, 103984, 84389, 33541, 29295, 5486, 39177, 102052, 115289, 122279, 26854, 117271, 29295, 32018, 62004, 110071, 107803, 32977, 57903, 33541, 9174, 49792, 9039, 40452, 103223, 64178, 16556, 102208, 37026, 16144, 17620, 106529, 30512, 104662, 109013, 107803, 72661, 5486, 104584, 102404, 109904, 121101, 112212, 124180, 16144, 112832, 116421, 103130, 15017, 245, 29295, 30250, 227, 115032, 126513, 5486, 124180, 32943, 16556, 71174, 119707, 76622, 30591, 76947, 108526, 117243, 54926, 105908, 27384, 102769, 38641, 9174, 49792, 9039, 40452, 103223, 64178, 30512, 106839, 17701, 56051, 55031, 102083, 76947, 5486, 114225, 20230, 22398, 91062, 106240, 20230, 76706, 11883, 103082, 104533, 15682, 48249, 31431, 107515, 9174, 126843, 15682, 103223, 64178, 102416, 109215, 30926, 105904, 16144, 17701, 48634, 117824, 100472, 31431, 5486, 61337, 102351, 102416, 103223, 64178, 76706, 11883, 123863, 120328, 89046, 117139, 117824, 30297, 109215, 107407, 103846, 5486, 106649, 117232, 77181, 103223, 64178, 111848, 106839, 17701, 8239, 114503, 29295, 112391, 102204, 100604, 115789, 57903, 33541, 9174, 57980, 76947, 5486, 49792, 9039, 40452, 103223, 64178, 106839, 17701, 25580, 55031, 103223, 64178, 76706, 11883, 121254, 107441, 16144, 107253, 104874, 30512, 50834, 43514, 25827, 103306, 33334, 50834, 17129, 109954, 9174, 21990, 106518, 34171, 30512, 70141, 17905, 107726, 5486, 121101, 30512, 126120, 96455, 33208, 108608, 49792, 9039, 40452, 103223, 64178, 15682, 5486, 107420, 109531, 110548, 103350, 102923, 121960, 59614, 116156, 16144, 103223, 64178, 102083, 114598, 103188, 78244, 77181, 124897, 9174, 105755, 22398, 91062, 106240, 26854, 107420, 109531, 110548, 29295, 103130, 62004, 110071, 101200, 5486, 112371, 104328, 37026, 61337, 20230, 109431, 56051, 49792, 9039, 40452, 103223, 64178, 30512, 102647, 23187, 9458, 106839, 17701, 39926, 64121, 38144, 72315, 1811, 128001, 128000, 14711, 119806, 25197, 108270, 113155, 65299, 91062, 116891, 29295, 37026, 33503, 20230, 111681, 56051, 113160, 49988, 320, 2822, 13, 220, 18, 8, 51753, 63072, 109713, 70563, 72369, 108337, 20230, 107726, 38144, 112987, 124324, 117876, 16144, 101182, 106592, 114140, 119607, 103794, 198, 102756, 25197, 108270, 113155, 65299, 91062, 116891, 29295, 37026, 33503, 20230, 111681, 56051, 113160, 49988, 320, 2822, 13, 18, 340, 103794, 109713, 70563, 72369, 108337, 20230, 107726, 38144, 112987, 124324, 117876, 16144, 101182, 106592, 114140, 119607, 103794, 198, 113116, 70626, 103242, 103306, 16144, 107734, 111017, 30512, 13177, 28873, 122101, 10646, 109713, 70563, 72369, 108337, 9458, 57326, 77750, 32131, 91062, 13177, 45923, 29220, 102514, 118587, 33014, 111186, 56051, 17792, 126027, 95543, 106608, 20230, 5486, 57326, 77750, 32131, 91062, 16144, 58521, 103195, 18836, 16144, 102756, 25197, 108270, 113155, 65299, 91062, 116891, 320, 88852, 36896, 54, 116891, 66383, 105324, 102802, 33541, 8, 108295, 102895, 48552, 114475, 107674, 16144, 119627, 108048, 15682, 46091, 59739, 20230, 123011, 62004, 102204, 33541, 9174, 15120, 59739, 15682, 36896, 45923, 29220, 102514, 10646, 29295, 13153, 101544, 15024, 5486, 109713, 70563, 72369, 108337, 29295, 113116, 70626, 103242, 20230, 18655, 76947, 31640, 126832, 113146, 29295, 37507, 104533, 22023, 100204, 28713, 113116, 70626, 103242, 29295, 43240, 102518, 100909, 38641, 9174, 41920, 59739, 30832, 15682, 5486, 109713, 70563, 72369, 108337, 110792, 122756, 13177, 102987, 16995, 125641, 9554, 113841, 10646, 29295, 103082, 104533, 114516, 29295, 112391, 30369, 103296, 20230, 109215, 104468, 5486, 102717, 25827, 16144, 41920, 78244, 46091, 78244, 102677, 106649, 16995, 82973, 103351, 102677, 30926, 103350, 38641, 9174, 80539, 46091, 59739, 62004, 15682, 36896, 45923, 29220, 102514, 10646, 29295, 5486, 109713, 70563, 72369, 108337, 111848, 109683, 78244, 102158, 113954, 102677, 109606, 16144, 108936, 9554, 50338, 104662, 118816, 78698, 105262, 17792, 105459, 29295, 106307, 104680, 19732, 102321, 103468, 118733, 56051, 9174, 13177, 45923, 29220, 102514, 10646, 113115, 39926, 43240, 119064, 114754, 20379, 56051, 95543, 106608, 20230, 54, 116891, 29295, 102895, 48552, 114475, 107674, 112366, 16144, 114667, 15682, 119568, 116907, 29295, 13177, 45923, 29220, 102514, 10646, 19967, 100472, 102677, 30926, 103350, 117083, 19732, 78698, 107290, 103424, 117201, 109954, 1811, 113116, 70626, 103242, 20230, 18655, 76947, 31640, 126832, 31640, 53953, 77181, 124897, 15024, 5486, 114516, 110792, 125641, 9554, 113841, 29295, 108608, 105933, 31634, 72238, 32977, 48706, 21105, 103, 16995, 115789, 53283, 76947, 61689, 124845, 109683, 78244, 102158, 113954, 16144, 108936, 105242, 101983, 107462, 100604, 115789, 105994, 116907, 16556, 19967, 100472, 57326, 77750, 32131, 91062, 16144, 48249, 98220, 103306, 104736, 109375, 107113, 16144, 38641, 55031, 9174, 77693, 30512, 24186, 20230, 124563, 112371, 43240, 119064, 114754, 13177, 45923, 29220, 102514, 10646, 20230, 115461, 78183, 116216, 114604, 104865, 30512, 5486, 54, 116891, 15682, 113954, 119607, 19732, 113727, 79721, 109900, 30512, 124226, 118821, 107750, 99397, 102677, 83799, 16556, 122984, 127145, 9174, 15120, 59739, 15682, 115408, 127282, 85701, 103296, 16144, 114172, 102512, 16556, 5486, 114516, 30512, 101513, 109472, 112028, 104091, 103195, 19732, 78698, 105262, 109335, 105693, 119520, 5486, 109713, 70563, 72369, 108337, 16144, 20834, 102321, 113468, 108048, 29295, 105755, 37656, 40265, 34171, 114792, 59739, 102944, 118816, 113727, 110071, 101200, 117084, 105898, 1811, 109713, 70563, 72369, 108337, 16144, 69978, 59739, 67645, 120950, 110366, 28190, 29295, 51330, 105933, 113727, 24273, 30512, 113096, 103792, 120900, 32149, 9174, 112672, 5486, 17792, 49792, 53283, 27327, 320, 15836, 8, 95371, 108167, 109415, 30369, 100909, 108176, 29295, 5486, 54, 116891, 15682, 5486, 114516, 16144, 53283, 27327, 19732, 17792, 49792, 16144, 53283, 27327, 16144, 122756, 15120, 101911, 29295, 55723, 116216, 112672, 118816, 113727, 100934, 119520, 5486, 32977, 21105, 251, 112028, 101911, 29295, 119870, 64121, 104087, 58942, 109115, 107803, 5486, 67645, 120950, 105908, 125119, 30369, 104865, 32977, 86127, 127282, 103911, 108867, 15024, 109809, 101557, 106, 21105, 103, 47884, 38144, 15682, 105110, 100604, 9174, 41920, 59739, 30832, 20230, 5486, 105755, 108936, 9554, 102052, 5486, 114516, 15682, 103826, 104680, 26854, 45893, 77913, 19732, 105994, 116907, 19732, 30512, 15120, 33014, 16144, 102944, 103306, 121247, 30297, 125641, 109904, 59739, 105722, 31431, 114792, 121118, 109807, 103846, 102052, 5486, 45893, 77913, 71289, 101513, 109472, 30512, 121247, 30297, 107803, 20230, 108048, 33503, 30512, 119049, 107079, 9554, 5486, 53283, 112854, 109904, 108710, 101557, 96, 103306, 105994, 112028, 34048, 19732, 91774, 102210, 17663, 105908, 109215, 103351, 9174, 77693, 30512, 24186, 20230, 113727, 104533, 5486, 53283, 34171, 71289, 104736, 109375, 5486, 125641, 16144, 21405, 31958, 114556, 78183, 30369, 105933, 116898, 78183, 81219, 114516, 16144, 30591, 33503, 106644, 30369, 121432, 30512, 109337, 101544, 54926, 105933, 101513, 109472, 20230, 115612, 16144, 125641, 114792, 59739, 115789, 113954, 108608, 9174, 80673, 5486, 107943, 101513, 109472, 20230, 37026, 120577, 37026, 36668, 34171, 9458, 37026, 80195, 34171, 102677, 110229, 103296, 29245, 245, 39926, 114732, 102677, 115552, 30512, 5486, 118013, 82533, 17129, 76947, 113727, 103470, 38144, 15682, 105110, 100604, 16144, 111769, 32149, 9174, 114626, 20230, 115515, 102677, 113146, 15682, 5486, 106222, 37087, 33014, 106116, 16325, 72661, 102078, 59999, 248, 114305, 110162, 102667, 106116, 127177, 121606, 50667, 17129, 72661, 101513, 109472, 102677, 123604, 16556, 113954, 54926, 101427, 122, 70141, 29295, 104195, 115737, 76947, 50834, 100934, 109807, 16325, 16556, 114516, 16144, 108928, 109315, 82912, 29295, 103553, 102, 33121, 115408, 127282, 37026, 120577, 69978, 59739, 37026, 36668, 34171, 71289, 37026, 104063, 34171, 30512, 54322, 77062, 226, 54926, 32149, 107726, 124195, 114732, 113146, 101983, 103836, 9174, 107943, 16325, 16556, 5486, 101544, 23538, 20230, 78183, 28713, 76947, 48915, 117758, 76171, 57326, 67075, 110214, 20230, 116898, 78183, 81219, 115681, 9554, 37026, 104063, 112535, 91875, 47884, 101513, 109472, 20230, 5486, 59739, 109709, 101513, 109472, 16144, 123274, 115517, 103378, 20230, 103963, 25359 ]
[ 39926, 91875, 47884, 101513, 109472, 20230, 115408, 105459, 29295, 105755, 104195, 47884, 108285, 47884, 103963, 25359, 15024, 27704, 62004, 100934, 102677, 105871, 107079, 105352, 118146, 70141, 76622, 101200, 9174, 104856, 104533, 115408, 105459, 116907, 32977, 96412, 107436, 86127, 126027, 101987, 104004, 106222, 58426, 102944, 30512, 113954, 54926, 103846, 105352, 5486, 123604, 103195, 101513, 109472, 16144, 123274, 115517, 30512, 113954, 54926, 109215, 107407, 9174, 103350, 15682, 5486, 110924, 16556, 112366, 16144, 61633, 30512, 124237, 30297, 109215, 107407, 104468, 115408, 126027, 96356, 60358, 117083, 102717, 19732, 124592, 121821, 19732, 119852, 126521, 123604, 15682, 5486, 114516, 16144, 125456, 36785, 102677, 28542, 103195, 109807, 123604, 124905, 76947, 101513, 109472, 30512, 122984, 119607, 19732, 112990, 5486, 101513, 109472, 16144, 69978, 59739, 106556, 71689, 16144, 13177, 122984, 10646, 117084, 114732, 101427, 122, 70141, 29295, 14167, 243, 102700, 108176, 9174, 122582, 36896, 25197, 102803, 103988, 117503, 89151, 104409, 16144, 108608, 116537, 43240, 47884, 107991, 110115, 103359, 39926, 106116, 17792, 105459, 29295, 115963, 20230, 36896, 25197, 102803, 103988, 66383, 112361, 120264, 16144, 78244, 102158, 106556, 67016, 69978, 28713, 100604, 104309, 102677, 109335, 126843, 15682, 57903, 50928, 100604, 55031, 103195, 9174, 51330, 104466, 5486, 48249, 31431, 103470, 106307, 47884, 100543, 249, 16555, 122, 16144, 22398, 80805, 25197, 32131, 33710, 30512, 32977, 64531, 22649, 21105, 103, 29295, 33503, 5486, 109713, 70563, 72369, 108337, 19732, 114516, 110792, 116690, 30512, 78698, 107290, 23039, 47884, 100909, 108176, 16144, 119627, 5486, 54, 116891, 16144, 102971, 105242, 15682, 5486, 103826, 104680, 26854, 105242, 110322, 58426, 102944, 72661, 101182, 102677, 110366, 28190, 114792, 59739, 100909, 115717, 33541, 9174, 101544, 115737, 31431, 33541, 29295, 5486, 108608, 103378, 17620, 31431, 87844, 47884, 110371, 105904, 30512, 74482, 9039, 18904, 106307, 76622, 106956, 19732, 78698, 107290, 61689, 9174, 114626, 20230, 110589, 15120, 9080, 5486, 112073, 98369, 125030, 76947, 5486, 72238, 116366, 114420, 1187, 82973, 116787, 33541, 101200, 4999, 58, 33334, 124730, 933, 83125, 16144, 17297, 16144, 28038, 108285, 102687, 52884, 77750, 26123, 102677, 66953, 118567, 30512, 15120, 9080, 127637, 107167, 48552, 39926, 17297, 65316, 9174, 24633, 111366, 9080, 29295, 80172, 95544, 9080, 38641, 51753, 63072, 46091, 109224, 16556, 46091, 107707, 103550, 111983, 30512, 106608, 110238, 127145, 103794, 765, 108613, 103830, 122481, 765, 13149, 38, 2898, 16144, 109688, 117126, 34171, 109853, 51753, 63072, 5162, 15, 112425, 16144, 106691, 9554, 15836, 57326, 77750, 32131, 91062, 13177, 25197, 102803, 103988, 66383, 57106, 115694, 103794, 125341, 567, 45631, 80805, 102741, 109713, 9458, 124773, 123437, 67075, 10646, 118455, 16144, 77219, 198, 12, 106982, 115474, 30512, 102395, 109431, 20230, 33655, 30297, 113009, 51753, 63072, 45923, 118613, 105988, 16144, 13177, 124766, 9458, 44971, 71634, 10646, 15682, 102718, 105266, 16556, 105525, 107462, 79721, 103794, 320, 2366, 18, 13, 2545, 13, 1691, 340, 12, 106369, 127879, 111331, 62903, 125024, 65575, 124905, 16995, 106307, 105784, 113009, 51753, 63072, 1681, 2674, 102677, 102741, 112508, 29295, 72718, 91875, 54926, 124122, 103359, 117120, 25333, 30512, 114341, 100204, 79721, 103794, 320, 2366, 18, 13, 2545, 13, 1114, 340, 12, 23067, 32977, 71493, 127194, 103306, 33655, 105262, 0, 51753, 63072, 30832, 55031, 110203, 245, 107118, 51330, 100909, 38641, 103794, 320, 2366, 18, 13, 2705, 13, 1419, 340, 12, 110233, 114, 16144, 117073, 118705, 123307, 76622, 51753, 63072, 95221, 30512, 124955, 30297, 117876, 29295, 115079, 58942, 100934, 105879, 5486, 52884, 77750, 15682, 23018, 113487, 50834, 16144, 75267, 20230, 103794, 320, 2366, 18, 13, 2705, 13, 508, 340, 567, 45631, 112690, 10646, 118455, 16144, 77219, 198, 12, 103891, 17297, 113160, 49988, 16144, 13177, 125242, 109415, 66383, 73361, 105212, 5486, 108285, 102687, 23530, 9458, 23530, 101544, 80539, 48915, 102781, 66870, 51753, 63072, 13177, 22656, 79785, 125334, 104533, 27384, 109606, 118587, 18904, 111098, 103794, 320, 2366, 18, 13, 605, 13, 1721, 340, 12, 94632, 114740, 104088, 101860, 20230, 108285, 102687, 15682, 102158, 110615, 51753, 63072, 13177, 80805, 64178, 9458, 102040, 112164, 11972, 10646, 127587, 240, 53229, 108947, 102677, 13177, 111405, 114457, 9554, 10646, 22023, 104611, 30512, 106154, 31431, 106956, 17792, 104680, 103794, 320, 2366, 18, 13, 2545, 13, 914, 340, 567, 45631, 15836, 10646, 118455, 16144, 77219, 198, 12, 9506, 16144, 13755, 367, 121432, 124905, 76947, 16144, 5486, 92776, 39177, 102181, 50834, 125119, 15024, 38641, 51753, 63072, 46034, 74245, 15024, 123410, 110115, 16, 122481, 868, 17620, 115856, 31431, 79721, 103794, 320, 2366, 18, 13, 2705, 13, 1114, 340, 12, 220, 89783, 31431, 105352, 43568, 103181, 104874, 103188, 105557, 33541, 51753, 63072, 32149, 59739, 38144, 15682, 124623, 105301, 32977, 43568, 104698, 118816, 22023, 100204, 102204, 100481, 79721, 103794, 320, 2366, 18, 13, 2371, 13, 1682, 340, 12, 15592, 29295, 115882, 104603, 115247, 123737, 30512, 102625, 20230, 104862, 114774, 100472, 30, 51753, 63072, 103268, 126241, 71689, 123628, 102756, 25197, 108270, 113155, 65299, 91062, 116891, 16144, 104970, 58655, 29295, 21990, 32149, 84389, 105823, 104127, 56051, 103794, 320, 2366, 18, 13, 2371, 13, 1591, 340, 12, 121655, 30297, 21, 8107, 112772, 15836, 124905, 107462, 79721, 51753, 63072, 58426, 110018, 102052, 5486, 108031, 124131, 103927, 16144, 113146, 36785, 102677, 106592, 88356, 104736, 109375, 121256, 103794, 320, 2366, 18, 13, 2371, 13, 1114, 8, 128001, 128000, 2, 21370, 226, 64178, 103672, 127065, 198, 114652, 33655, 30297, 47260, 68759, 102860, 30512, 103672, 127065, 116446, 55723, 28190, 17905, 34048, 104309, 20230, 105360, 103854, 5486, 108064, 72661, 114225, 20230, 103350, 23039, 108608, 104466, 54926, 9174, 114667, 5232, 39850, 78683, 109496, 125523, 102532, 47260, 68759, 102860, 30512, 121507, 54926, 126036, 112825, 110904, 20230, 39880, 122131, 30512, 103350, 23039, 108608, 104466, 54926, 103846, 1811, 39850, 118331, 112164, 11972, 10110, 47260, 68759, 102860, 16144, 124766, 7705, 19732, 103672, 127065, 10110, 16, 107167, 48552, 16556, 39880, 122131, 103350, 23039, 120732, 110176, 112919, 34171, 105284, 30512, 114146, 28713, 21405, 102321, 9174, 116294, 102860, 65299, 47000, 103204, 16144, 103223, 64178, 103672, 127065, 198, 567, 55699, 117, 27327, 198, 12, 220, 55723, 28190, 17905, 34048, 71289, 103359, 47523, 47260, 108304, 96452, 115247, 17905, 34048, 104309, 20230, 103223, 64178, 103672, 127065, 30512, 105360, 103854, 30369, 118733, 5486, 114652, 33655, 30297, 47260, 68759, 102860, 20230, 108064, 72661, 112825, 110904, 20230, 39880, 122086, 22398, 108608, 9174, 12, 126466, 109713, 124905, 30297, 118733, 55723, 28190, 124175, 30512, 107792, 103664, 103082, 124563, 33334, 32149, 59739, 99750, 112854, 112535, 47260, 68759, 102860, 30512, 102647, 103854, 30369, 101200, 108176, 9174, 567, 111747, 25333, 198, 12, 18049, 230, 47884, 33655, 126832, 47260, 68759, 102860, 30512, 103672, 127065, 116446, 5486, 116294, 102860, 65299, 71289, 103359, 47523, 47260, 52414, 42634, 64178, 120938, 34048, 10110, 116840, 112169, 7705, 101182, 16995, 15682, 78659, 10110, 122347, 74245, 112169, 7705, 20230, 105360, 103854, 30369, 9174, 12, 21370, 226, 64178, 103672, 127065, 102052, 33671, 16144, 104091, 104770, 107407, 9174, 12, 67621, 246, 106063, 39880, 122131, 5232, 55723, 28190, 123727, 127749, 20230, 103963, 25359, 72342, 101860, 110904, 106063, 16556, 103350, 23039, 107001, 66327, 47585, 10646, 104309, 9174, 12, 45631, 13372, 113124, 52118, 91875, 113124, 10646, 39880, 122131, 5232, 55723, 28190, 32943, 16556, 121507, 110731, 90962, 52884, 109531, 110548, 113115, 54926, 39880, 122131, 1811, 121507, 88435, 32218, 16144, 13177, 47260, 93298, 10646, 104309, 9174, 12, 45631, 91875, 113124, 52118, 13372, 113124, 10646, 39880, 122131, 5232, 110408, 17663, 19732, 73686, 9039, 109823, 16144, 124807, 39880, 77750, 29295, 87447, 47884, 66327, 87447, 47884, 1981, 10646, 104309, 9174, 12, 126159, 80805, 103906, 122489, 39880, 122131, 5232, 55723, 28190, 32943, 16556, 121507, 110731, 90962, 52884, 109531, 110548, 16144, 107420, 80805, 103906, 30512, 20379, 15024, 5486, 122489, 32977, 108608, 1811, 88435, 32218, 30512, 13177, 101402, 19113, 10646, 117657, 104309, 1811, 20251, 118953, 103672, 127065, 101182, 16995, 15682, 45923, 42634, 103830, 99959, 115691, 39850, 78683, 109496, 16556, 21405, 102321, 9174, 12, 126466, 109713, 124905, 114598, 57980, 16995, 1811, 111090, 109713, 19732, 32131, 102832, 114615, 103214, 64121, 114146, 118816, 15120, 87217, 17620, 107277, 126172, 16995, 1811, 111090, 109713, 116771, 10110, 88435, 32131, 115882, 103599, 7705, 118816, 118347, 61398, 30512, 107792, 103664, 108608, 29295, 5486, 115552, 29295, 17620, 107277, 20230, 47884, 47884, 109020, 109807, 126513, 103223, 64178, 103906, 103830, 29295, 59614, 116156, 9174, 12, 220, 67645, 16144, 47260, 68759, 102860, 30512, 103223, 64178, 103672, 127065, 117657, 32149, 5486, 53900, 58426, 105360, 102802, 110480, 15682, 5486, 108152, 38248, 114, 11972, 116907, 29295, 71493, 105335, 68759, 122624, 103082, 104533, 57980, 16995, 9174, 12, 21370, 226, 64178, 103672, 127065, 29295, 22324, 32149, 103468, 108761, 103438, 30512, 52591, 42634, 117675, 94550, 80805, 123167, 116446, 5486, 108152, 38248, 114, 11972, 29295, 111764, 20230, 127284, 108608, 104466, 120837, 57980, 16995, 1811, 128001, 128000, 2, 106773, 127674, 96452, 91482, 37823, 103906, 16144, 115552, 15682, 11571, 114435, 106613, 112167, 20230, 27384, 102769, 26854, 113727, 19732, 112415, 27452, 30512, 48154, 126362, 198, 118899, 5486, 60868, 127674, 96452, 91482, 37823, 103906, 102677, 112690, 30512, 104655, 47884, 101513, 38093, 29295, 43240, 117714, 111769, 123253, 32149, 95532, 60868, 127674, 96452, 91482, 37823, 103906, 107118, 5486, 69978, 106307, 125396, 30512, 115552, 54926, 112690, 1811, 5608, 82252, 71289, 1600, 38, 106613, 112167, 29295, 107693, 103984, 107001, 102321, 31640, 121960, 5486, 53283, 76947, 33334, 105898, 16995, 126067, 38641, 9174, 118430, 118095, 20230, 104655, 47884, 101200, 102052, 26854, 100472, 107493, 5486, 102971, 91077, 16144, 110229, 67645, 120950, 115552, 113461, 103950, 32149, 9174, 51330, 104466, 33334, 114284, 120332, 121254, 76622, 5486, 40265, 77219, 77181, 60868, 127674, 96452, 91482, 37823, 103906, 16144, 126067, 55031, 5486, 60868, 127674, 96452, 91482, 37823, 103906, 29295, 26130, 30832, 107001, 124858, 5486, 80539, 60868, 127674, 96452, 91482, 37823, 103906, 30512, 114435, 106613, 112167, 20230, 76706, 32149, 56051, 27452, 103296, 5486, 111044, 108285, 47884, 48154, 126362, 78434, 9174, 567, 106773, 127674, 96452, 91482, 37823, 103906, 10110, 50, 74585, 7705, 107118, 95532, 60868, 127674, 96452, 91482, 37823, 103906, 10110, 114654, 5232, 82, 74585, 7705, 107118, 124620, 69978, 106307, 125396, 36761, 71289, 44620, 69978, 106307, 108608, 100909, 36761, 30512, 115552, 54926, 112690, 9174, 53900, 5486, 60868, 127674, 96452, 91482, 37823, 103906, 16144, 126067, 16556, 124620, 69978, 106307, 108608, 36761, 100909, 16144, 103359, 47523, 117282, 104468, 5486, 17792, 71289, 106222, 5486, 80539, 127960, 16144, 37087, 33014, 38641, 9174, 29504, 89046, 15682, 5486, 69978, 106307, 88367, 26854, 122401, 30512, 44620, 120987, 101083, 31640, 16144, 86206, 30512, 33420, 106382, 72342, 101860, 20230, 5486, 112599, 16144, 86206, 30512, 112624, 28713, 17663, 122401, 36761, 118816, 23187, 104577, 10110, 16, 123505, 122270, 115132, 114740, 16144, 19361, 13372, 102667, 52, 42235, 15682, 124620, 60868, 127674, 96452, 91482, 37823, 103906, 15682, 5486, 122617, 16144, 53953, 30926, 29295, 103721, 233, 29295, 103836, 106592, 113954, 54926, 100909, 36785, 121359, 17, 7705, 19732, 122984, 127145, 9174, 27452, 103306, 124620, 124131, 103927, 30512, 107691, 30297, 36761, 121507, 104088, 100481, 50834, 17129, 109954, 1811, 124131, 103927, 30512, 109198, 17701, 54926, 124858, 102052, 5486, 115201, 37705, 16556, 104840, 102452, 8239, 114503, 102472, 22398, 29295, 61056, 20834, 84389, 100481, 38144, 5486, 108968, 17905, 125525, 49792, 75267, 16556, 122502, 47884, 114754, 102532, 5486, 44971, 39880, 39850, 122258, 30512, 118935, 19012, 246, 54926, 114754, 48706, 127145, 123794, 9174, 51330, 104466, 5486, 106391, 67178, 109904, 103721, 233, 29295, 31431, 30512, 104736, 109375, 15024, 5486, 113954, 54926, 105908, 60868, 127674, 96452, 91482, 37823, 103906, 118816, 23187, 104577, 127145, 9174, 60868, 127674, 96452, 91482, 37823, 103906, 20230, 47000, 106161, 15024, 5486, 60868, 127674, 96452, 112193, 10110, 69978, 106307, 88367, 26854, 7705, 102677, 112690, 32977, 87177, 104482, 1811, 60868, 127674, 96452, 91482, 37823, 103906, 15682, 13372, 113124, 119627, 5486, 60868, 127674, 96452, 112193, 15682, 83799, 37729, 113124, 102677, 121953, 115991, 33541, 9174, 53900, 5486, 60868, 127674, 96452, 112193, 109853, 15682, 5486, 88852, 16144, 77219, 16556, 50520, 111, 106624, 48154, 122984, 103792, 105879, 5486, 60868, 127674, 96452, 91482, 37823, 103906, 16144, 113954, 30512, 102987, 109315, 17905, 72661, 112371, 104328, 48154, 15120, 98499, 72315, 105823, 9174, 60868, 127674, 96452, 112193, 30512, 116718, 20230, 122984, 56051, 77219, 198, 10110, 16, 7705, 50, 74585, 198, 567, 106773, 127674, 96452, 91482, 37823, 103906, 18, 118821, 44620, 36, 36761, 198, 60868, 127674, 96452, 91482, 37823, 103906, 30512, 78698, 105262, 17905, 16556, 5486, 107693, 26854, 18, 118821, 44620, 124606, 36761, 15682, 88852, 16144, 121640, 38641, 9174, 12, 11847, 43444, 117501, 23954, 12, 38661, 10110, 106613, 111587, 23954, 12, 58588, 10110, 35417, 50211, 34171, 23954, 85701, 120577, 18, 59739, 29295, 30358, 26854, 31431, 40862, 30297, 105494, 127105, 69978, 106307, 88367, 116787, 5486, 60868, 127674, 96452, 91482, 37823, 103906, 15682, 85701, 33503, 18, 118821, 66953, 119930, 29295, 18655, 115032, 121894, 19732, 23187, 104577, 116216, 61689, 105879, 5486, 16, 59739, 16, 59739, 104088, 100481, 50834, 17129, 109954, 9174, 14711, 10447, 240, 108, 103496, 123050, 10110, 14696, 404, 2298, 479, 23954, 126843, 16, 59739, 30832, 15682, 5486, 117501, 28190, 10110, 13013, 75376, 127960, 114792, 106307, 88367, 26854, 116245, 103306, 74482, 101083, 20230, 113801, 120321, 104699, 103846, 102052, 5486, 117501, 30512, 123050, 54926, 105908, 107693, 9174, 112599, 5486, 102616, 102052, 95221, 103550, 104721, 91875, 71289, 56235, 28190, 17905, 123716, 5486, 105466, 102138, 105150, 127258, 104309, 16995, 47884 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 39926, 91875, 47884, 101513, 109472, 20230, 115408, 105459, 29295, 105755, 104195, 47884, 108285, 47884, 103963, 25359, 15024, 27704, 62004, 100934, 102677, 105871, 107079, 105352, 118146, 70141, 76622, 101200, 9174, 104856, 104533, 115408, 105459, 116907, 32977, 96412, 107436, 86127, 126027, 101987, 104004, 106222, 58426, 102944, 30512, 113954, 54926, 103846, 105352, 5486, 123604, 103195, 101513, 109472, 16144, 123274, 115517, 30512, 113954, 54926, 109215, 107407, 9174, 103350, 15682, 5486, 110924, 16556, 112366, 16144, 61633, 30512, 124237, 30297, 109215, 107407, 104468, 115408, 126027, 96356, 60358, 117083, 102717, 19732, 124592, 121821, 19732, 119852, 126521, 123604, 15682, 5486, 114516, 16144, 125456, 36785, 102677, 28542, 103195, 109807, 123604, 124905, 76947, 101513, 109472, 30512, 122984, 119607, 19732, 112990, 5486, 101513, 109472, 16144, 69978, 59739, 106556, 71689, 16144, 13177, 122984, 10646, 117084, 114732, 101427, 122, 70141, 29295, 14167, 243, 102700, 108176, 9174, 122582, 36896, 25197, 102803, 103988, 117503, 89151, 104409, 16144, 108608, 116537, 43240, 47884, 107991, 110115, 103359, 39926, 106116, 17792, 105459, 29295, 115963, 20230, 36896, 25197, 102803, 103988, 66383, 112361, 120264, 16144, 78244, 102158, 106556, 67016, 69978, 28713, 100604, 104309, 102677, 109335, 126843, 15682, 57903, 50928, 100604, 55031, 103195, 9174, 51330, 104466, 5486, 48249, 31431, 103470, 106307, 47884, 100543, 249, 16555, 122, 16144, 22398, 80805, 25197, 32131, 33710, 30512, 32977, 64531, 22649, 21105, 103, 29295, 33503, 5486, 109713, 70563, 72369, 108337, 19732, 114516, 110792, 116690, 30512, 78698, 107290, 23039, 47884, 100909, 108176, 16144, 119627, 5486, 54, 116891, 16144, 102971, 105242, 15682, 5486, 103826, 104680, 26854, 105242, 110322, 58426, 102944, 72661, 101182, 102677, 110366, 28190, 114792, 59739, 100909, 115717, 33541, 9174, 101544, 115737, 31431, 33541, 29295, 5486, 108608, 103378, 17620, 31431, 87844, 47884, 110371, 105904, 30512, 74482, 9039, 18904, 106307, 76622, 106956, 19732, 78698, 107290, 61689, 9174, 114626, 20230, 110589, 15120, 9080, 5486, 112073, 98369, 125030, 76947, 5486, 72238, 116366, 114420, 1187, 82973, 116787, 33541, 101200, 4999, 58, 33334, 124730, 933, 83125, 16144, 17297, 16144, 28038, 108285, 102687, 52884, 77750, 26123, 102677, 66953, 118567, 30512, 15120, 9080, 127637, 107167, 48552, 39926, 17297, 65316, 9174, 24633, 111366, 9080, 29295, 80172, 95544, 9080, 38641, 51753, 63072, 46091, 109224, 16556, 46091, 107707, 103550, 111983, 30512, 106608, 110238, 127145, 103794, 765, 108613, 103830, 122481, 765, 13149, 38, 2898, 16144, 109688, 117126, 34171, 109853, 51753, 63072, 5162, 15, 112425, 16144, 106691, 9554, 15836, 57326, 77750, 32131, 91062, 13177, 25197, 102803, 103988, 66383, 57106, 115694, 103794, 125341, 567, 45631, 80805, 102741, 109713, 9458, 124773, 123437, 67075, 10646, 118455, 16144, 77219, 198, 12, 106982, 115474, 30512, 102395, 109431, 20230, 33655, 30297, 113009, 51753, 63072, 45923, 118613, 105988, 16144, 13177, 124766, 9458, 44971, 71634, 10646, 15682, 102718, 105266, 16556, 105525, 107462, 79721, 103794, 320, 2366, 18, 13, 2545, 13, 1691, 340, 12, 106369, 127879, 111331, 62903, 125024, 65575, 124905, 16995, 106307, 105784, 113009, 51753, 63072, 1681, 2674, 102677, 102741, 112508, 29295, 72718, 91875, 54926, 124122, 103359, 117120, 25333, 30512, 114341, 100204, 79721, 103794, 320, 2366, 18, 13, 2545, 13, 1114, 340, 12, 23067, 32977, 71493, 127194, 103306, 33655, 105262, 0, 51753, 63072, 30832, 55031, 110203, 245, 107118, 51330, 100909, 38641, 103794, 320, 2366, 18, 13, 2705, 13, 1419, 340, 12, 110233, 114, 16144, 117073, 118705, 123307, 76622, 51753, 63072, 95221, 30512, 124955, 30297, 117876, 29295, 115079, 58942, 100934, 105879, 5486, 52884, 77750, 15682, 23018, 113487, 50834, 16144, 75267, 20230, 103794, 320, 2366, 18, 13, 2705, 13, 508, 340, 567, 45631, 112690, 10646, 118455, 16144, 77219, 198, 12, 103891, 17297, 113160, 49988, 16144, 13177, 125242, 109415, 66383, 73361, 105212, 5486, 108285, 102687, 23530, 9458, 23530, 101544, 80539, 48915, 102781, 66870, 51753, 63072, 13177, 22656, 79785, 125334, 104533, 27384, 109606, 118587, 18904, 111098, 103794, 320, 2366, 18, 13, 605, 13, 1721, 340, 12, 94632, 114740, 104088, 101860, 20230, 108285, 102687, 15682, 102158, 110615, 51753, 63072, 13177, 80805, 64178, 9458, 102040, 112164, 11972, 10646, 127587, 240, 53229, 108947, 102677, 13177, 111405, 114457, 9554, 10646, 22023, 104611, 30512, 106154, 31431, 106956, 17792, 104680, 103794, 320, 2366, 18, 13, 2545, 13, 914, 340, 567, 45631, 15836, 10646, 118455, 16144, 77219, 198, 12, 9506, 16144, 13755, 367, 121432, 124905, 76947, 16144, 5486, 92776, 39177, 102181, 50834, 125119, 15024, 38641, 51753, 63072, 46034, 74245, 15024, 123410, 110115, 16, 122481, 868, 17620, 115856, 31431, 79721, 103794, 320, 2366, 18, 13, 2705, 13, 1114, 340, 12, 220, 89783, 31431, 105352, 43568, 103181, 104874, 103188, 105557, 33541, 51753, 63072, 32149, 59739, 38144, 15682, 124623, 105301, 32977, 43568, 104698, 118816, 22023, 100204, 102204, 100481, 79721, 103794, 320, 2366, 18, 13, 2371, 13, 1682, 340, 12, 15592, 29295, 115882, 104603, 115247, 123737, 30512, 102625, 20230, 104862, 114774, 100472, 30, 51753, 63072, 103268, 126241, 71689, 123628, 102756, 25197, 108270, 113155, 65299, 91062, 116891, 16144, 104970, 58655, 29295, 21990, 32149, 84389, 105823, 104127, 56051, 103794, 320, 2366, 18, 13, 2371, 13, 1591, 340, 12, 121655, 30297, 21, 8107, 112772, 15836, 124905, 107462, 79721, 51753, 63072, 58426, 110018, 102052, 5486, 108031, 124131, 103927, 16144, 113146, 36785, 102677, 106592, 88356, 104736, 109375, 121256, 103794, 320, 2366, 18, 13, 2371, 13, 1114, 8, 128001, 128000, 2, 21370, 226, 64178, 103672, 127065, 198, 114652, 33655, 30297, 47260, 68759, 102860, 30512, 103672, 127065, 116446, 55723, 28190, 17905, 34048, 104309, 20230, 105360, 103854, 5486, 108064, 72661, 114225, 20230, 103350, 23039, 108608, 104466, 54926, 9174, 114667, 5232, 39850, 78683, 109496, 125523, 102532, 47260, 68759, 102860, 30512, 121507, 54926, 126036, 112825, 110904, 20230, 39880, 122131, 30512, 103350, 23039, 108608, 104466, 54926, 103846, 1811, 39850, 118331, 112164, 11972, 10110, 47260, 68759, 102860, 16144, 124766, 7705, 19732, 103672, 127065, 10110, 16, 107167, 48552, 16556, 39880, 122131, 103350, 23039, 120732, 110176, 112919, 34171, 105284, 30512, 114146, 28713, 21405, 102321, 9174, 116294, 102860, 65299, 47000, 103204, 16144, 103223, 64178, 103672, 127065, 198, 567, 55699, 117, 27327, 198, 12, 220, 55723, 28190, 17905, 34048, 71289, 103359, 47523, 47260, 108304, 96452, 115247, 17905, 34048, 104309, 20230, 103223, 64178, 103672, 127065, 30512, 105360, 103854, 30369, 118733, 5486, 114652, 33655, 30297, 47260, 68759, 102860, 20230, 108064, 72661, 112825, 110904, 20230, 39880, 122086, 22398, 108608, 9174, 12, 126466, 109713, 124905, 30297, 118733, 55723, 28190, 124175, 30512, 107792, 103664, 103082, 124563, 33334, 32149, 59739, 99750, 112854, 112535, 47260, 68759, 102860, 30512, 102647, 103854, 30369, 101200, 108176, 9174, 567, 111747, 25333, 198, 12, 18049, 230, 47884, 33655, 126832, 47260, 68759, 102860, 30512, 103672, 127065, 116446, 5486, 116294, 102860, 65299, 71289, 103359, 47523, 47260, 52414, 42634, 64178, 120938, 34048, 10110, 116840, 112169, 7705, 101182, 16995, 15682, 78659, 10110, 122347, 74245, 112169, 7705, 20230, 105360, 103854, 30369, 9174, 12, 21370, 226, 64178, 103672, 127065, 102052, 33671, 16144, 104091, 104770, 107407, 9174, 12, 67621, 246, 106063, 39880, 122131, 5232, 55723, 28190, 123727, 127749, 20230, 103963, 25359, 72342, 101860, 110904, 106063, 16556, 103350, 23039, 107001, 66327, 47585, 10646, 104309, 9174, 12, 45631, 13372, 113124, 52118, 91875, 113124, 10646, 39880, 122131, 5232, 55723, 28190, 32943, 16556, 121507, 110731, 90962, 52884, 109531, 110548, 113115, 54926, 39880, 122131, 1811, 121507, 88435, 32218, 16144, 13177, 47260, 93298, 10646, 104309, 9174, 12, 45631, 91875, 113124, 52118, 13372, 113124, 10646, 39880, 122131, 5232, 110408, 17663, 19732, 73686, 9039, 109823, 16144, 124807, 39880, 77750, 29295, 87447, 47884, 66327, 87447, 47884, 1981, 10646, 104309, 9174, 12, 126159, 80805, 103906, 122489, 39880, 122131, 5232, 55723, 28190, 32943, 16556, 121507, 110731, 90962, 52884, 109531, 110548, 16144, 107420, 80805, 103906, 30512, 20379, 15024, 5486, 122489, 32977, 108608, 1811, 88435, 32218, 30512, 13177, 101402, 19113, 10646, 117657, 104309, 1811, 20251, 118953, 103672, 127065, 101182, 16995, 15682, 45923, 42634, 103830, 99959, 115691, 39850, 78683, 109496, 16556, 21405, 102321, 9174, 12, 126466, 109713, 124905, 114598, 57980, 16995, 1811, 111090, 109713, 19732, 32131, 102832, 114615, 103214, 64121, 114146, 118816, 15120, 87217, 17620, 107277, 126172, 16995, 1811, 111090, 109713, 116771, 10110, 88435, 32131, 115882, 103599, 7705, 118816, 118347, 61398, 30512, 107792, 103664, 108608, 29295, 5486, 115552, 29295, 17620, 107277, 20230, 47884, 47884, 109020, 109807, 126513, 103223, 64178, 103906, 103830, 29295, 59614, 116156, 9174, 12, 220, 67645, 16144, 47260, 68759, 102860, 30512, 103223, 64178, 103672, 127065, 117657, 32149, 5486, 53900, 58426, 105360, 102802, 110480, 15682, 5486, 108152, 38248, 114, 11972, 116907, 29295, 71493, 105335, 68759, 122624, 103082, 104533, 57980, 16995, 9174, 12, 21370, 226, 64178, 103672, 127065, 29295, 22324, 32149, 103468, 108761, 103438, 30512, 52591, 42634, 117675, 94550, 80805, 123167, 116446, 5486, 108152, 38248, 114, 11972, 29295, 111764, 20230, 127284, 108608, 104466, 120837, 57980, 16995, 1811, 128001, 128000, 2, 106773, 127674, 96452, 91482, 37823, 103906, 16144, 115552, 15682, 11571, 114435, 106613, 112167, 20230, 27384, 102769, 26854, 113727, 19732, 112415, 27452, 30512, 48154, 126362, 198, 118899, 5486, 60868, 127674, 96452, 91482, 37823, 103906, 102677, 112690, 30512, 104655, 47884, 101513, 38093, 29295, 43240, 117714, 111769, 123253, 32149, 95532, 60868, 127674, 96452, 91482, 37823, 103906, 107118, 5486, 69978, 106307, 125396, 30512, 115552, 54926, 112690, 1811, 5608, 82252, 71289, 1600, 38, 106613, 112167, 29295, 107693, 103984, 107001, 102321, 31640, 121960, 5486, 53283, 76947, 33334, 105898, 16995, 126067, 38641, 9174, 118430, 118095, 20230, 104655, 47884, 101200, 102052, 26854, 100472, 107493, 5486, 102971, 91077, 16144, 110229, 67645, 120950, 115552, 113461, 103950, 32149, 9174, 51330, 104466, 33334, 114284, 120332, 121254, 76622, 5486, 40265, 77219, 77181, 60868, 127674, 96452, 91482, 37823, 103906, 16144, 126067, 55031, 5486, 60868, 127674, 96452, 91482, 37823, 103906, 29295, 26130, 30832, 107001, 124858, 5486, 80539, 60868, 127674, 96452, 91482, 37823, 103906, 30512, 114435, 106613, 112167, 20230, 76706, 32149, 56051, 27452, 103296, 5486, 111044, 108285, 47884, 48154, 126362, 78434, 9174, 567, 106773, 127674, 96452, 91482, 37823, 103906, 10110, 50, 74585, 7705, 107118, 95532, 60868, 127674, 96452, 91482, 37823, 103906, 10110, 114654, 5232, 82, 74585, 7705, 107118, 124620, 69978, 106307, 125396, 36761, 71289, 44620, 69978, 106307, 108608, 100909, 36761, 30512, 115552, 54926, 112690, 9174, 53900, 5486, 60868, 127674, 96452, 91482, 37823, 103906, 16144, 126067, 16556, 124620, 69978, 106307, 108608, 36761, 100909, 16144, 103359, 47523, 117282, 104468, 5486, 17792, 71289, 106222, 5486, 80539, 127960, 16144, 37087, 33014, 38641, 9174, 29504, 89046, 15682, 5486, 69978, 106307, 88367, 26854, 122401, 30512, 44620, 120987, 101083, 31640, 16144, 86206, 30512, 33420, 106382, 72342, 101860, 20230, 5486, 112599, 16144, 86206, 30512, 112624, 28713, 17663, 122401, 36761, 118816, 23187, 104577, 10110, 16, 123505, 122270, 115132, 114740, 16144, 19361, 13372, 102667, 52, 42235, 15682, 124620, 60868, 127674, 96452, 91482, 37823, 103906, 15682, 5486, 122617, 16144, 53953, 30926, 29295, 103721, 233, 29295, 103836, 106592, 113954, 54926, 100909, 36785, 121359, 17, 7705, 19732, 122984, 127145, 9174, 27452, 103306, 124620, 124131, 103927, 30512, 107691, 30297, 36761, 121507, 104088, 100481, 50834, 17129, 109954, 1811, 124131, 103927, 30512, 109198, 17701, 54926, 124858, 102052, 5486, 115201, 37705, 16556, 104840, 102452, 8239, 114503, 102472, 22398, 29295, 61056, 20834, 84389, 100481, 38144, 5486, 108968, 17905, 125525, 49792, 75267, 16556, 122502, 47884, 114754, 102532, 5486, 44971, 39880, 39850, 122258, 30512, 118935, 19012, 246, 54926, 114754, 48706, 127145, 123794, 9174, 51330, 104466, 5486, 106391, 67178, 109904, 103721, 233, 29295, 31431, 30512, 104736, 109375, 15024, 5486, 113954, 54926, 105908, 60868, 127674, 96452, 91482, 37823, 103906, 118816, 23187, 104577, 127145, 9174, 60868, 127674, 96452, 91482, 37823, 103906, 20230, 47000, 106161, 15024, 5486, 60868, 127674, 96452, 112193, 10110, 69978, 106307, 88367, 26854, 7705, 102677, 112690, 32977, 87177, 104482, 1811, 60868, 127674, 96452, 91482, 37823, 103906, 15682, 13372, 113124, 119627, 5486, 60868, 127674, 96452, 112193, 15682, 83799, 37729, 113124, 102677, 121953, 115991, 33541, 9174, 53900, 5486, 60868, 127674, 96452, 112193, 109853, 15682, 5486, 88852, 16144, 77219, 16556, 50520, 111, 106624, 48154, 122984, 103792, 105879, 5486, 60868, 127674, 96452, 91482, 37823, 103906, 16144, 113954, 30512, 102987, 109315, 17905, 72661, 112371, 104328, 48154, 15120, 98499, 72315, 105823, 9174, 60868, 127674, 96452, 112193, 30512, 116718, 20230, 122984, 56051, 77219, 198, 10110, 16, 7705, 50, 74585, 198, 567, 106773, 127674, 96452, 91482, 37823, 103906, 18, 118821, 44620, 36, 36761, 198, 60868, 127674, 96452, 91482, 37823, 103906, 30512, 78698, 105262, 17905, 16556, 5486, 107693, 26854, 18, 118821, 44620, 124606, 36761, 15682, 88852, 16144, 121640, 38641, 9174, 12, 11847, 43444, 117501, 23954, 12, 38661, 10110, 106613, 111587, 23954, 12, 58588, 10110, 35417, 50211, 34171, 23954, 85701, 120577, 18, 59739, 29295, 30358, 26854, 31431, 40862, 30297, 105494, 127105, 69978, 106307, 88367, 116787, 5486, 60868, 127674, 96452, 91482, 37823, 103906, 15682, 85701, 33503, 18, 118821, 66953, 119930, 29295, 18655, 115032, 121894, 19732, 23187, 104577, 116216, 61689, 105879, 5486, 16, 59739, 16, 59739, 104088, 100481, 50834, 17129, 109954, 9174, 14711, 10447, 240, 108, 103496, 123050, 10110, 14696, 404, 2298, 479, 23954, 126843, 16, 59739, 30832, 15682, 5486, 117501, 28190, 10110, 13013, 75376, 127960, 114792, 106307, 88367, 26854, 116245, 103306, 74482, 101083, 20230, 113801, 120321, 104699, 103846, 102052, 5486, 117501, 30512, 123050, 54926, 105908, 107693, 9174, 112599, 5486, 102616, 102052, 95221, 103550, 104721, 91875, 71289, 56235, 28190, 17905, 123716, 5486, 105466, 102138, 105150, 127258, 104309, 16995, 47884 ]
[ 59739, 102944, 117501, 109606, 29295, 116748, 15024, 5486, 103856, 105047, 26854, 117271, 29295, 32018, 62004, 124195, 61689, 9174, 77181, 5486, 117501, 109606, 16144, 102987, 106145, 30813, 15682, 67645, 119775, 78183, 117295, 105879, 109954, 32149, 95532, 117501, 109606, 30512, 102158, 30369, 17905, 16556, 44620, 127960, 115412, 102159, 17620, 30512, 33420, 106382, 103792, 36761, 102677, 21405, 102321, 115991, 33541, 9174, 51330, 113727, 15682, 5486, 114516, 16144, 112415, 29295, 127960, 117501, 112649, 76622, 100934, 109972, 111600, 30512, 108867, 30369, 64467, 105888, 103195, 76739, 47260, 42634, 76428, 115145, 52591, 67075, 115507, 52414, 29295, 102832, 61398, 117083, 102944, 9174, 105466, 102138, 16144, 17885, 238, 118935, 39926, 76505, 103234, 30512, 104873, 104067, 56051, 31431, 5486, 33208, 102465, 114887, 42506, 30512, 118935, 19012, 246, 56051, 31431, 104309, 5486, 109683, 71289, 103087, 39084, 111363, 103963, 25359, 27479, 30512, 82420, 76947, 61689, 1811, 76739, 47260, 42634, 76428, 115145, 52591, 67075, 115507, 52414, 16144, 126067, 20230, 75146, 109669, 50834, 123085, 107707, 127331, 124949, 30512, 37087, 102616, 124911, 104680, 29295, 37705, 30369, 106592, 101067, 23187, 112990, 5486, 17, 13, 24, 102159, 17620, 16144, 127960, 29295, 109215, 102677, 113702, 20230, 9174, 59739, 109709, 5486, 112599, 16144, 104654, 30512, 106307, 76622, 104533, 127960, 16, 59739, 77181, 102780, 31431, 100604, 16144, 38641, 109807, 103846, 115408, 105459, 102052, 127960, 16, 102159, 17620, 16144, 104654, 30512, 108167, 114941, 15024, 5486, 127960, 114792, 106307, 88367, 117657, 105908, 107693, 118816, 78244, 58942, 33541, 9174, 76739, 47260, 42634, 76428, 115145, 52591, 67075, 115507, 52414, 109853, 5486, 50520, 111, 106624, 53283, 31431, 106956, 24273, 15682, 117896, 16144, 77219, 30512, 48154, 111182, 72315, 9174, 76739, 47260, 42634, 76428, 115145, 52591, 67075, 115507, 52414, 30512, 122984, 56051, 77219, 198, 14711, 119767, 38093, 9554, 35417, 50211, 34171, 10110, 25523, 488, 23954, 17, 59739, 30832, 15682, 5486, 106222, 9554, 35417, 50211, 34171, 10110, 25523, 488, 7705, 109853, 1811, 2366, 15, 8107, 55031, 106307, 47884, 47260, 42634, 96452, 16144, 89753, 23039, 16556, 5486, 80631, 100, 110482, 71289, 109531, 108506, 11972, 5486, 17792, 104091, 16144, 35083, 104364, 15682, 111179, 50834, 14608, 104, 31431, 115717, 79721, 9174, 118789, 9554, 102052, 5486, 102616, 102052, 88852, 16144, 102321, 103397, 115991, 33541, 9174, 12, 220, 16, 9080, 16, 13, 1954, 120389, 88852, 16556, 127331, 33503, 17663, 115924, 103359, 9554, 80631, 100, 110482, 114050, 16144, 103268, 9039, 29295, 108968, 17905, 29504, 20, 32149, 29504, 20230, 120766, 198, 12, 121158, 125525, 47260, 42634, 96452, 102625, 30046, 9039, 16556, 115132, 52591, 109896, 39276, 127164, 116537, 101828, 107707, 17, 98406, 20230, 198, 51330, 105933, 16937, 50211, 50667, 15682, 5486, 102159, 114516, 16144, 109606, 126194, 106222, 16144, 106391, 67178, 112535, 102404, 21990, 103792, 102944, 109807, 103846, 115132, 52591, 47307, 38248, 111, 42634, 96452, 16144, 113146, 102052, 5486, 106222, 16144, 106391, 67178, 55031, 91774, 74245, 15024, 5486, 6701, 92150, 54926, 44620, 41758, 44971, 84477, 9458, 37823, 109753, 36761, 29295, 69978, 106307, 88367, 26854, 106222, 30512, 103350, 102321, 54926, 17905, 16556, 107693, 103984, 116216, 61689, 9174, 41758, 44971, 84477, 9458, 37823, 109753, 109853, 15682, 5486, 17297, 61304, 16144, 77219, 16556, 50520, 111, 106624, 50338, 108323, 127145, 9174, 41758, 44971, 84477, 9458, 37823, 109753, 30512, 116718, 20230, 122984, 56051, 77219, 198, 14711, 107879, 234, 111587, 16144, 125396, 10110, 36, 71171, 23954, 117501, 71289, 106222, 16144, 69978, 106307, 125396, 30512, 104622, 61826, 54926, 121142, 103470, 5486, 106613, 111587, 10110, 36, 71171, 125305, 105352, 114754, 69978, 106307, 88367, 103195, 106548, 103214, 64121, 30512, 64531, 105262, 105908, 107693, 1811, 106613, 111587, 28190, 16556, 60868, 127674, 96452, 91482, 37823, 103906, 30512, 103350, 102321, 54926, 102052, 5486, 114435, 16144, 108975, 48634, 29295, 109947, 124490, 38641, 9174, 102700, 13372, 26854, 106613, 112167, 48864, 112919, 68759, 25197, 102663, 33710, 89154, 120770, 105514, 15682, 5486, 45309, 10110, 26021, 17423, 5273, 120732, 126067, 30512, 29172, 110125, 125939, 71289, 114435, 15682, 106613, 112167, 57326, 112718, 19481, 16556, 60868, 127674, 96452, 91482, 37823, 103906, 102416, 108167, 103214, 104004, 16144, 126194, 5486, 114435, 106613, 112167, 19732, 60868, 127674, 96452, 91482, 37823, 103906, 30512, 110176, 80195, 17663, 125231, 113146, 36785, 102158, 76947, 61689, 9174, 59739, 109709, 5486, 60868, 127674, 96452, 91482, 37823, 103906, 20230, 108167, 103214, 104004, 105908, 5486, 114435, 125030, 76947, 13153, 101544, 102669, 105838, 108176, 113146, 36785, 102677, 100909, 38641, 9174, 1600, 38, 126330, 71289, 71122, 123160, 110366, 28190, 30512, 119870, 17129, 58942, 5486, 60868, 127674, 96452, 91482, 37823, 103906, 30512, 55487, 101557, 106, 21105, 103, 29295, 33503, 5486, 101544, 23538, 112535, 114435, 16144, 13153, 101544, 30512, 104862, 30297, 105908, 115847, 117758, 114435, 106613, 112167, 16144, 105335, 108506, 65575, 101983, 107462, 47884, 123253, 9174, 85701, 33503, 18, 118821, 44620, 124606, 36761, 29295, 60868, 127674, 96452, 91482, 37823, 103906, 16144, 118726, 19732, 84389, 5486, 122617, 29295, 30358, 26854, 31431, 40862, 30297, 105494, 20230, 104067, 54926, 105908, 69978, 106307, 88367, 30512, 103350, 102321, 20230, 60358, 109669, 76622, 33541, 9174, 567, 107090, 223, 106307, 125396, 29295, 107693, 103984, 107001, 124858, 198, 77181, 5486, 106222, 71289, 117501, 5486, 80539, 106613, 111587, 16144, 28190, 16556, 60868, 127674, 96452, 91482, 37823, 103906, 29295, 107693, 103984, 107001, 114667, 107118, 5486, 67645, 120950, 102944, 26854, 105879, 109954, 32149, 95532, 117896, 77181, 5486, 60868, 127674, 96452, 91482, 37823, 103906, 29295, 87177, 104482, 104856, 103836, 124858, 117083, 88852, 18, 118821, 31634, 72238, 30512, 48154, 126362, 78434, 9174, 12, 8189, 82252, 10110, 69978, 106307, 88367, 26854, 122401, 30832, 105888, 7705, 29295, 44416, 23187, 198, 12, 64076, 71289, 1600, 38, 126330, 104309, 5486, 91482, 76428, 102750, 22398, 111363, 117375, 198, 12, 112243, 245, 13372, 17792, 111848, 102404, 22023, 198, 16, 59739, 101860, 59739, 48154, 122984, 39926, 17129, 16995, 31431, 33541, 9174, 14711, 8189, 82252, 10110, 69978, 106307, 88367, 26854, 122401, 30832, 105888, 7705, 29295, 118935, 119899, 198, 5608, 82252, 10110, 69978, 106307, 88367, 26854, 122401, 30832, 105888, 7705, 29295, 679, 20, 116358, 29504, 89046, 60868, 101198, 67075, 16556, 118935, 119899, 84389, 5486, 60868, 127674, 96452, 91482, 37823, 103906, 102677, 126067, 29295, 102616, 20230, 108285, 109709, 79721, 9174, 29504, 89046, 29295, 29172, 110125, 56051, 5608, 82252, 102052, 5486, 69978, 106307, 88367, 26854, 106222, 30512, 103350, 102321, 54926, 113009, 1114, 16144, 103621, 64178, 29295, 102332, 76622, 102204, 5486, 102404, 77413, 108968, 17905, 29504, 121142, 103470, 5486, 61826, 103130, 29504, 32977, 112959, 50834, 104526, 102189, 30832, 105888, 103195, 66378, 17599, 112, 115991, 33541, 9174, 5608, 82252, 29295, 5486, 37087, 102616, 29295, 108167, 103214, 104004, 125231, 103306, 46239, 103646, 118733, 5486, 43240, 119064, 29504, 20230, 108285, 17129, 107462, 50834, 79721, 9174, 5608, 82252, 109853, 5486, 105755, 50520, 111, 106624, 53283, 31431, 106956, 24273, 15682, 17297, 61304, 16144, 77219, 102416, 104405, 108422, 9174, 5608, 82252, 10110, 69978, 106307, 88367, 26854, 122401, 30832, 105888, 120732, 122984, 77219, 198, 14711, 64076, 71289, 1600, 38, 126330, 104309, 5486, 91482, 76428, 102750, 22398, 111363, 117375, 198, 33671, 20230, 5486, 60868, 127674, 96452, 91482, 37823, 103906, 29295, 91482, 76428, 102750, 22398, 102416, 117375, 54926, 102677, 114667, 1811, 114435, 125030, 76947, 5486, 71122, 71289, 1600, 38, 126330, 104309, 30512, 119870, 17129, 58942, 5486, 101544, 23538, 109904, 103984, 28542, 16556, 106613, 112167, 126130, 22957, 26854, 30297, 105908, 107693, 117084, 61689, 9174, 117501, 71289, 106222, 5486, 114435, 105156, 71005, 30512, 115552, 54926, 1600, 38, 20230, 123457, 17701, 106824, 108167, 103214, 104004, 114435, 20230, 126330, 54926, 1600, 38, 126330, 15682, 5486, 37087, 102616, 16144, 126330, 109518, 16144, 1627, 13, 18, 4, 10110, 18, 7705, 30512, 108928, 62004, 100934, 102321, 103397, 9174, 58426, 103846, 5486, 71122, 71289, 1600, 38, 106613, 112167, 20230, 123457, 17701, 104028, 109335, 114435, 16144, 52884, 93488, 103857, 94550, 108176, 100909, 55031, 5486, 43240, 119064, 114435, 125030, 76947, 119448, 47884, 117375, 54926, 60868, 127674, 96452, 91482, 37823, 103906, 29295, 26130, 30832, 107001, 101200, 115717, 79721, 9174, 118899, 26130, 118146, 43167, 109315, 1600, 38, 126330, 109853, 5486, 88852, 16144, 77219, 16556, 48154, 126362, 127145, 9174, 1600, 38, 126330, 109853, 5486, 48154, 122984, 56051, 77219, 198, 10110, 18, 7705, 1600, 38, 126330, 107118, 95532, 14711, 112243, 245, 13372, 17792, 111848, 102404, 22023, 198, 53900, 5486, 102700, 13372, 17792, 111848, 102404, 22023, 29295, 44620, 60868, 127674, 96452, 91482, 37823, 103906, 36761, 30512, 86127, 105459, 125030, 76947, 105755, 96356, 60358, 20230, 121256, 9174, 827, 119806, 20251, 118901, 15682, 60868, 127674, 96452, 112193, 104774, 26269, 104272, 30512, 102404, 22023, 198, 120366, 102040, 37823, 25005, 251, 26269, 102514, 16144, 102040, 108941, 25197, 90962, 117383, 107734, 16556, 33334, 46065, 112, 108208, 64121, 16144, 76739, 68759, 102756, 20251, 118901, 15682, 5486, 60868, 127674, 96452, 112193, 104774, 26269, 104272, 71289, 91482, 72369, 117675, 11972, 30512, 108882, 110993, 112535, 102404, 22023, 54926, 64810, 44971, 52884, 16144, 16, 17792, 9174, 12, 105729, 16073, 105335, 16556, 60868, 106826, 25197, 96452, 112193, 104774, 26269, 104272, 30512, 126362, 54926, 39880, 71493, 65299, 52414, 125523, 102332, 198, 12, 124022, 222, 11883, 54926, 104774, 26269, 104272, 15682, 105107, 67178, 30590, 71289, 103188, 39607, 29295, 31958, 105184, 26854, 20251, 44971, 38248, 113, 112193, 26854, 102944, 198, 12, 110138, 117675, 11972, 77181, 116773, 107290, 45923, 108744, 30512, 99849, 27479, 32977, 100815, 11883, 198, 35417, 16144, 75267, 117158, 30369, 104983, 20230, 5486, 121410, 18904, 108010, 30297, 44309, 99741, 30512, 24326, 104, 105651, 54926, 64810, 44971, 52884, 29295, 127181, 26854, 32149, 5486, 76739, 68759, 102756, 20251, 118901, 15682, 60868, 127674, 96452, 112193, 26854, 104774, 26269, 104272, 30512, 102404, 22023, 21105, 97, 109669, 107441, 61689, 9174, 827, 112238, 93488, 99959, 107487, 15682, 90962, 38248, 105, 122842, 47260, 22398, 39850, 52884, 116670, 30512, 105335, 84477, 198, 101198, 93488, 99959, 107487, 15682, 5486, 37026, 110362, 30512, 76739, 47260, 123646, 102860, 102540, 20230, 23226, 67178, 54926, 108680, 16144, 17599, 117, 104792, 104369, 31431, 9174, 12, 107289, 38248, 105, 122842, 47260, 22398, 39850, 52884, 116670, 30512, 106613, 112167, 198, 12, 102362, 105352, 127960, 105352, 104622, 102800, 47260, 22398, 39850, 30512, 108285, 62004, 100934, 198, 90962, 38248, 105, 122842, 26854, 108321, 30512, 38129, 103792, 103846, 5486, 107707, 120044, 105352, 74090, 45826, 234, 105352, 104622, 102800, 90962, 38248, 105, 122842, 47260, 22398, 39850, 1811, 102433, 72661, 126909, 16144, 126574, 109453, 29295, 102404, 22023, 54926, 118733, 5486, 43240, 119064, 114754, 90962, 38248, 105, 122842, 47260, 22398, 39850, 30512, 106081, 17663, 101513, 38093, 29295, 115079, 58942, 33541, 101832, 9174, 827, 111002, 108994, 15682, 127960, 20230, 104622, 102800, 104654, 30512, 102404, 22023, 198, 102433, 105352, 5486, 60868, 127674, 96452, 91482, 37823, 103906, 30512, 27384, 102769, 20230, 15024, 5486, 102404, 22023, 54926, 19361, 13372, 114754, 61689, 109807, 26854, 116421, 16, 17792, 103195, 42634, 108994, 15682, 5486, 127960, 16144, 124122, 7650, 116229, 30512, 42634, 107060, 78459, 56051, 31431, 5486, 50, 2507, 16556, 102404, 22023, 30512, 127145, 9174, 12, 13674, 16556, 60868, 127674, 96452, 112193, 20230, 104654, 30512, 37705, 30369, 47260, 103223, 30512, 126362, 198, 12, 21283, 116229, 16556, 60868, 106826, 25197, 96452, 112193, 30512, 108285, 109315, 198, 51330, 104466, 5486, 29504, 89046, 123160, 127123, 101513, 97518, 121142, 103470, 5486, 107063, 100, 33121, 16144, 9554, 103195, 64810, 44971, 52884, 105459, 29295, 108882, 110993, 112535, 60868, 106826, 25197, 96452, 91482, 37823, 103906, 30512, 102404, 22023, 54926, 118733, 5486, 102616, 126867, 60868, 127674, 96452, 91482, 37823, 103906, 29295, 108285, 29295, 76947, 50834, 127280, 9174, 567, 106773, 127674, 96452, 91482, 37823, 103906, 15682, 104405, 125338, 108867, 30369, 95532, 110382, 103296, 5486, 60868, 106826, 25197, 96452, 91482, 37823, 103906, 16144, 107963, 31634, 19732, 108285, 117864, 124858, 30512, 48154, 126362, 121256, 29295, 5486, 60868, 106826, 25197, 96452, 91482, 37823, 103906, 107118, 15120, 33014, 67645, 119775, 108867, 104028, 105879, 109954, 32149, 95532, 117896, 77181, 5486, 102616, 9554, 105352, 22023, 117943, 16144, 126574, 17, 118821, 41007, 30512, 48154, 126362, 78434, 9174, 14711, 480, 4403, 105335, 108506, 65575, 198, 38, 4403, 10110, 11907, 47793, 38756, 119735, 5486, 38, 4403, 105335, 108506, 65575, 30512, 11883, 102532, 117501, 9458, 106222, 9458, 106613, 111587, 123863, 1644, 16144, 57933, 108941, 55031, 5486, 60868, 127674, 96452, 91482, 37823, 103906, 30512, 107624, 95001, 78434, 9174, 60868, 127674, 96452, 91482, 37823, 103906, 20230, 108167, 103214, 104004, 114435, 29295, 19967, 13153, 54926, 44620, 60868, 127674, 96452, 91482, 37823, 103906, 44971, 121057, 36761, 15682, 5486, 38, 4403, 105335, 108506, 65575, 20230, 75146, 109669, 102532, 59739, 126910, 30369, 102944, 9174, 38, 4403, 105335, 108506, 65575, 107407, 55031, 127105, 5486, 114435, 16144, 60868, 127674, 96452, 91482, 37823, 103906, 123863, 112415, 29295, 15120, 103188, 34171, 16144, 102944, 16556, 103470, 5486, 8239, 114503, 30512, 101544, 23538, 112535, 91774, 110071, 102944, 121711, 33541, 9174, 14711, 423, 12830, 40, 110557, 65299, 9458, 113909, 107060, 78525, 9458, 60868, 106826, 96452, 91482, 37823, 103906, 9458, 76171, 68408, 107840, 198, 33671, 20230, 48154, 126362, 54926, 35, 12830, 40, 10110, 99959, 65299, 9458, 113909, 107060, 78525, 9458, 60868, 106826, 96452, 91482, 37823, 103906, 9458, 76171, 68408, 107840, 119735, 115132, 114740, 19732, 22398, 112900, 16144, 114435, 113468, 122401, 103646, 60868, 127674, 96452, 91482, 37823, 103906, 30512, 82420, 30369, 64467, 105888, 38641, 9174, 102616, 16325, 16556, 5486, 18, 11, 3443, 61337, 30512, 72404 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 59739, 102944, 117501, 109606, 29295, 116748, 15024, 5486, 103856, 105047, 26854, 117271, 29295, 32018, 62004, 124195, 61689, 9174, 77181, 5486, 117501, 109606, 16144, 102987, 106145, 30813, 15682, 67645, 119775, 78183, 117295, 105879, 109954, 32149, 95532, 117501, 109606, 30512, 102158, 30369, 17905, 16556, 44620, 127960, 115412, 102159, 17620, 30512, 33420, 106382, 103792, 36761, 102677, 21405, 102321, 115991, 33541, 9174, 51330, 113727, 15682, 5486, 114516, 16144, 112415, 29295, 127960, 117501, 112649, 76622, 100934, 109972, 111600, 30512, 108867, 30369, 64467, 105888, 103195, 76739, 47260, 42634, 76428, 115145, 52591, 67075, 115507, 52414, 29295, 102832, 61398, 117083, 102944, 9174, 105466, 102138, 16144, 17885, 238, 118935, 39926, 76505, 103234, 30512, 104873, 104067, 56051, 31431, 5486, 33208, 102465, 114887, 42506, 30512, 118935, 19012, 246, 56051, 31431, 104309, 5486, 109683, 71289, 103087, 39084, 111363, 103963, 25359, 27479, 30512, 82420, 76947, 61689, 1811, 76739, 47260, 42634, 76428, 115145, 52591, 67075, 115507, 52414, 16144, 126067, 20230, 75146, 109669, 50834, 123085, 107707, 127331, 124949, 30512, 37087, 102616, 124911, 104680, 29295, 37705, 30369, 106592, 101067, 23187, 112990, 5486, 17, 13, 24, 102159, 17620, 16144, 127960, 29295, 109215, 102677, 113702, 20230, 9174, 59739, 109709, 5486, 112599, 16144, 104654, 30512, 106307, 76622, 104533, 127960, 16, 59739, 77181, 102780, 31431, 100604, 16144, 38641, 109807, 103846, 115408, 105459, 102052, 127960, 16, 102159, 17620, 16144, 104654, 30512, 108167, 114941, 15024, 5486, 127960, 114792, 106307, 88367, 117657, 105908, 107693, 118816, 78244, 58942, 33541, 9174, 76739, 47260, 42634, 76428, 115145, 52591, 67075, 115507, 52414, 109853, 5486, 50520, 111, 106624, 53283, 31431, 106956, 24273, 15682, 117896, 16144, 77219, 30512, 48154, 111182, 72315, 9174, 76739, 47260, 42634, 76428, 115145, 52591, 67075, 115507, 52414, 30512, 122984, 56051, 77219, 198, 14711, 119767, 38093, 9554, 35417, 50211, 34171, 10110, 25523, 488, 23954, 17, 59739, 30832, 15682, 5486, 106222, 9554, 35417, 50211, 34171, 10110, 25523, 488, 7705, 109853, 1811, 2366, 15, 8107, 55031, 106307, 47884, 47260, 42634, 96452, 16144, 89753, 23039, 16556, 5486, 80631, 100, 110482, 71289, 109531, 108506, 11972, 5486, 17792, 104091, 16144, 35083, 104364, 15682, 111179, 50834, 14608, 104, 31431, 115717, 79721, 9174, 118789, 9554, 102052, 5486, 102616, 102052, 88852, 16144, 102321, 103397, 115991, 33541, 9174, 12, 220, 16, 9080, 16, 13, 1954, 120389, 88852, 16556, 127331, 33503, 17663, 115924, 103359, 9554, 80631, 100, 110482, 114050, 16144, 103268, 9039, 29295, 108968, 17905, 29504, 20, 32149, 29504, 20230, 120766, 198, 12, 121158, 125525, 47260, 42634, 96452, 102625, 30046, 9039, 16556, 115132, 52591, 109896, 39276, 127164, 116537, 101828, 107707, 17, 98406, 20230, 198, 51330, 105933, 16937, 50211, 50667, 15682, 5486, 102159, 114516, 16144, 109606, 126194, 106222, 16144, 106391, 67178, 112535, 102404, 21990, 103792, 102944, 109807, 103846, 115132, 52591, 47307, 38248, 111, 42634, 96452, 16144, 113146, 102052, 5486, 106222, 16144, 106391, 67178, 55031, 91774, 74245, 15024, 5486, 6701, 92150, 54926, 44620, 41758, 44971, 84477, 9458, 37823, 109753, 36761, 29295, 69978, 106307, 88367, 26854, 106222, 30512, 103350, 102321, 54926, 17905, 16556, 107693, 103984, 116216, 61689, 9174, 41758, 44971, 84477, 9458, 37823, 109753, 109853, 15682, 5486, 17297, 61304, 16144, 77219, 16556, 50520, 111, 106624, 50338, 108323, 127145, 9174, 41758, 44971, 84477, 9458, 37823, 109753, 30512, 116718, 20230, 122984, 56051, 77219, 198, 14711, 107879, 234, 111587, 16144, 125396, 10110, 36, 71171, 23954, 117501, 71289, 106222, 16144, 69978, 106307, 125396, 30512, 104622, 61826, 54926, 121142, 103470, 5486, 106613, 111587, 10110, 36, 71171, 125305, 105352, 114754, 69978, 106307, 88367, 103195, 106548, 103214, 64121, 30512, 64531, 105262, 105908, 107693, 1811, 106613, 111587, 28190, 16556, 60868, 127674, 96452, 91482, 37823, 103906, 30512, 103350, 102321, 54926, 102052, 5486, 114435, 16144, 108975, 48634, 29295, 109947, 124490, 38641, 9174, 102700, 13372, 26854, 106613, 112167, 48864, 112919, 68759, 25197, 102663, 33710, 89154, 120770, 105514, 15682, 5486, 45309, 10110, 26021, 17423, 5273, 120732, 126067, 30512, 29172, 110125, 125939, 71289, 114435, 15682, 106613, 112167, 57326, 112718, 19481, 16556, 60868, 127674, 96452, 91482, 37823, 103906, 102416, 108167, 103214, 104004, 16144, 126194, 5486, 114435, 106613, 112167, 19732, 60868, 127674, 96452, 91482, 37823, 103906, 30512, 110176, 80195, 17663, 125231, 113146, 36785, 102158, 76947, 61689, 9174, 59739, 109709, 5486, 60868, 127674, 96452, 91482, 37823, 103906, 20230, 108167, 103214, 104004, 105908, 5486, 114435, 125030, 76947, 13153, 101544, 102669, 105838, 108176, 113146, 36785, 102677, 100909, 38641, 9174, 1600, 38, 126330, 71289, 71122, 123160, 110366, 28190, 30512, 119870, 17129, 58942, 5486, 60868, 127674, 96452, 91482, 37823, 103906, 30512, 55487, 101557, 106, 21105, 103, 29295, 33503, 5486, 101544, 23538, 112535, 114435, 16144, 13153, 101544, 30512, 104862, 30297, 105908, 115847, 117758, 114435, 106613, 112167, 16144, 105335, 108506, 65575, 101983, 107462, 47884, 123253, 9174, 85701, 33503, 18, 118821, 44620, 124606, 36761, 29295, 60868, 127674, 96452, 91482, 37823, 103906, 16144, 118726, 19732, 84389, 5486, 122617, 29295, 30358, 26854, 31431, 40862, 30297, 105494, 20230, 104067, 54926, 105908, 69978, 106307, 88367, 30512, 103350, 102321, 20230, 60358, 109669, 76622, 33541, 9174, 567, 107090, 223, 106307, 125396, 29295, 107693, 103984, 107001, 124858, 198, 77181, 5486, 106222, 71289, 117501, 5486, 80539, 106613, 111587, 16144, 28190, 16556, 60868, 127674, 96452, 91482, 37823, 103906, 29295, 107693, 103984, 107001, 114667, 107118, 5486, 67645, 120950, 102944, 26854, 105879, 109954, 32149, 95532, 117896, 77181, 5486, 60868, 127674, 96452, 91482, 37823, 103906, 29295, 87177, 104482, 104856, 103836, 124858, 117083, 88852, 18, 118821, 31634, 72238, 30512, 48154, 126362, 78434, 9174, 12, 8189, 82252, 10110, 69978, 106307, 88367, 26854, 122401, 30832, 105888, 7705, 29295, 44416, 23187, 198, 12, 64076, 71289, 1600, 38, 126330, 104309, 5486, 91482, 76428, 102750, 22398, 111363, 117375, 198, 12, 112243, 245, 13372, 17792, 111848, 102404, 22023, 198, 16, 59739, 101860, 59739, 48154, 122984, 39926, 17129, 16995, 31431, 33541, 9174, 14711, 8189, 82252, 10110, 69978, 106307, 88367, 26854, 122401, 30832, 105888, 7705, 29295, 118935, 119899, 198, 5608, 82252, 10110, 69978, 106307, 88367, 26854, 122401, 30832, 105888, 7705, 29295, 679, 20, 116358, 29504, 89046, 60868, 101198, 67075, 16556, 118935, 119899, 84389, 5486, 60868, 127674, 96452, 91482, 37823, 103906, 102677, 126067, 29295, 102616, 20230, 108285, 109709, 79721, 9174, 29504, 89046, 29295, 29172, 110125, 56051, 5608, 82252, 102052, 5486, 69978, 106307, 88367, 26854, 106222, 30512, 103350, 102321, 54926, 113009, 1114, 16144, 103621, 64178, 29295, 102332, 76622, 102204, 5486, 102404, 77413, 108968, 17905, 29504, 121142, 103470, 5486, 61826, 103130, 29504, 32977, 112959, 50834, 104526, 102189, 30832, 105888, 103195, 66378, 17599, 112, 115991, 33541, 9174, 5608, 82252, 29295, 5486, 37087, 102616, 29295, 108167, 103214, 104004, 125231, 103306, 46239, 103646, 118733, 5486, 43240, 119064, 29504, 20230, 108285, 17129, 107462, 50834, 79721, 9174, 5608, 82252, 109853, 5486, 105755, 50520, 111, 106624, 53283, 31431, 106956, 24273, 15682, 17297, 61304, 16144, 77219, 102416, 104405, 108422, 9174, 5608, 82252, 10110, 69978, 106307, 88367, 26854, 122401, 30832, 105888, 120732, 122984, 77219, 198, 14711, 64076, 71289, 1600, 38, 126330, 104309, 5486, 91482, 76428, 102750, 22398, 111363, 117375, 198, 33671, 20230, 5486, 60868, 127674, 96452, 91482, 37823, 103906, 29295, 91482, 76428, 102750, 22398, 102416, 117375, 54926, 102677, 114667, 1811, 114435, 125030, 76947, 5486, 71122, 71289, 1600, 38, 126330, 104309, 30512, 119870, 17129, 58942, 5486, 101544, 23538, 109904, 103984, 28542, 16556, 106613, 112167, 126130, 22957, 26854, 30297, 105908, 107693, 117084, 61689, 9174, 117501, 71289, 106222, 5486, 114435, 105156, 71005, 30512, 115552, 54926, 1600, 38, 20230, 123457, 17701, 106824, 108167, 103214, 104004, 114435, 20230, 126330, 54926, 1600, 38, 126330, 15682, 5486, 37087, 102616, 16144, 126330, 109518, 16144, 1627, 13, 18, 4, 10110, 18, 7705, 30512, 108928, 62004, 100934, 102321, 103397, 9174, 58426, 103846, 5486, 71122, 71289, 1600, 38, 106613, 112167, 20230, 123457, 17701, 104028, 109335, 114435, 16144, 52884, 93488, 103857, 94550, 108176, 100909, 55031, 5486, 43240, 119064, 114435, 125030, 76947, 119448, 47884, 117375, 54926, 60868, 127674, 96452, 91482, 37823, 103906, 29295, 26130, 30832, 107001, 101200, 115717, 79721, 9174, 118899, 26130, 118146, 43167, 109315, 1600, 38, 126330, 109853, 5486, 88852, 16144, 77219, 16556, 48154, 126362, 127145, 9174, 1600, 38, 126330, 109853, 5486, 48154, 122984, 56051, 77219, 198, 10110, 18, 7705, 1600, 38, 126330, 107118, 95532, 14711, 112243, 245, 13372, 17792, 111848, 102404, 22023, 198, 53900, 5486, 102700, 13372, 17792, 111848, 102404, 22023, 29295, 44620, 60868, 127674, 96452, 91482, 37823, 103906, 36761, 30512, 86127, 105459, 125030, 76947, 105755, 96356, 60358, 20230, 121256, 9174, 827, 119806, 20251, 118901, 15682, 60868, 127674, 96452, 112193, 104774, 26269, 104272, 30512, 102404, 22023, 198, 120366, 102040, 37823, 25005, 251, 26269, 102514, 16144, 102040, 108941, 25197, 90962, 117383, 107734, 16556, 33334, 46065, 112, 108208, 64121, 16144, 76739, 68759, 102756, 20251, 118901, 15682, 5486, 60868, 127674, 96452, 112193, 104774, 26269, 104272, 71289, 91482, 72369, 117675, 11972, 30512, 108882, 110993, 112535, 102404, 22023, 54926, 64810, 44971, 52884, 16144, 16, 17792, 9174, 12, 105729, 16073, 105335, 16556, 60868, 106826, 25197, 96452, 112193, 104774, 26269, 104272, 30512, 126362, 54926, 39880, 71493, 65299, 52414, 125523, 102332, 198, 12, 124022, 222, 11883, 54926, 104774, 26269, 104272, 15682, 105107, 67178, 30590, 71289, 103188, 39607, 29295, 31958, 105184, 26854, 20251, 44971, 38248, 113, 112193, 26854, 102944, 198, 12, 110138, 117675, 11972, 77181, 116773, 107290, 45923, 108744, 30512, 99849, 27479, 32977, 100815, 11883, 198, 35417, 16144, 75267, 117158, 30369, 104983, 20230, 5486, 121410, 18904, 108010, 30297, 44309, 99741, 30512, 24326, 104, 105651, 54926, 64810, 44971, 52884, 29295, 127181, 26854, 32149, 5486, 76739, 68759, 102756, 20251, 118901, 15682, 60868, 127674, 96452, 112193, 26854, 104774, 26269, 104272, 30512, 102404, 22023, 21105, 97, 109669, 107441, 61689, 9174, 827, 112238, 93488, 99959, 107487, 15682, 90962, 38248, 105, 122842, 47260, 22398, 39850, 52884, 116670, 30512, 105335, 84477, 198, 101198, 93488, 99959, 107487, 15682, 5486, 37026, 110362, 30512, 76739, 47260, 123646, 102860, 102540, 20230, 23226, 67178, 54926, 108680, 16144, 17599, 117, 104792, 104369, 31431, 9174, 12, 107289, 38248, 105, 122842, 47260, 22398, 39850, 52884, 116670, 30512, 106613, 112167, 198, 12, 102362, 105352, 127960, 105352, 104622, 102800, 47260, 22398, 39850, 30512, 108285, 62004, 100934, 198, 90962, 38248, 105, 122842, 26854, 108321, 30512, 38129, 103792, 103846, 5486, 107707, 120044, 105352, 74090, 45826, 234, 105352, 104622, 102800, 90962, 38248, 105, 122842, 47260, 22398, 39850, 1811, 102433, 72661, 126909, 16144, 126574, 109453, 29295, 102404, 22023, 54926, 118733, 5486, 43240, 119064, 114754, 90962, 38248, 105, 122842, 47260, 22398, 39850, 30512, 106081, 17663, 101513, 38093, 29295, 115079, 58942, 33541, 101832, 9174, 827, 111002, 108994, 15682, 127960, 20230, 104622, 102800, 104654, 30512, 102404, 22023, 198, 102433, 105352, 5486, 60868, 127674, 96452, 91482, 37823, 103906, 30512, 27384, 102769, 20230, 15024, 5486, 102404, 22023, 54926, 19361, 13372, 114754, 61689, 109807, 26854, 116421, 16, 17792, 103195, 42634, 108994, 15682, 5486, 127960, 16144, 124122, 7650, 116229, 30512, 42634, 107060, 78459, 56051, 31431, 5486, 50, 2507, 16556, 102404, 22023, 30512, 127145, 9174, 12, 13674, 16556, 60868, 127674, 96452, 112193, 20230, 104654, 30512, 37705, 30369, 47260, 103223, 30512, 126362, 198, 12, 21283, 116229, 16556, 60868, 106826, 25197, 96452, 112193, 30512, 108285, 109315, 198, 51330, 104466, 5486, 29504, 89046, 123160, 127123, 101513, 97518, 121142, 103470, 5486, 107063, 100, 33121, 16144, 9554, 103195, 64810, 44971, 52884, 105459, 29295, 108882, 110993, 112535, 60868, 106826, 25197, 96452, 91482, 37823, 103906, 30512, 102404, 22023, 54926, 118733, 5486, 102616, 126867, 60868, 127674, 96452, 91482, 37823, 103906, 29295, 108285, 29295, 76947, 50834, 127280, 9174, 567, 106773, 127674, 96452, 91482, 37823, 103906, 15682, 104405, 125338, 108867, 30369, 95532, 110382, 103296, 5486, 60868, 106826, 25197, 96452, 91482, 37823, 103906, 16144, 107963, 31634, 19732, 108285, 117864, 124858, 30512, 48154, 126362, 121256, 29295, 5486, 60868, 106826, 25197, 96452, 91482, 37823, 103906, 107118, 15120, 33014, 67645, 119775, 108867, 104028, 105879, 109954, 32149, 95532, 117896, 77181, 5486, 102616, 9554, 105352, 22023, 117943, 16144, 126574, 17, 118821, 41007, 30512, 48154, 126362, 78434, 9174, 14711, 480, 4403, 105335, 108506, 65575, 198, 38, 4403, 10110, 11907, 47793, 38756, 119735, 5486, 38, 4403, 105335, 108506, 65575, 30512, 11883, 102532, 117501, 9458, 106222, 9458, 106613, 111587, 123863, 1644, 16144, 57933, 108941, 55031, 5486, 60868, 127674, 96452, 91482, 37823, 103906, 30512, 107624, 95001, 78434, 9174, 60868, 127674, 96452, 91482, 37823, 103906, 20230, 108167, 103214, 104004, 114435, 29295, 19967, 13153, 54926, 44620, 60868, 127674, 96452, 91482, 37823, 103906, 44971, 121057, 36761, 15682, 5486, 38, 4403, 105335, 108506, 65575, 20230, 75146, 109669, 102532, 59739, 126910, 30369, 102944, 9174, 38, 4403, 105335, 108506, 65575, 107407, 55031, 127105, 5486, 114435, 16144, 60868, 127674, 96452, 91482, 37823, 103906, 123863, 112415, 29295, 15120, 103188, 34171, 16144, 102944, 16556, 103470, 5486, 8239, 114503, 30512, 101544, 23538, 112535, 91774, 110071, 102944, 121711, 33541, 9174, 14711, 423, 12830, 40, 110557, 65299, 9458, 113909, 107060, 78525, 9458, 60868, 106826, 96452, 91482, 37823, 103906, 9458, 76171, 68408, 107840, 198, 33671, 20230, 48154, 126362, 54926, 35, 12830, 40, 10110, 99959, 65299, 9458, 113909, 107060, 78525, 9458, 60868, 106826, 96452, 91482, 37823, 103906, 9458, 76171, 68408, 107840, 119735, 115132, 114740, 19732, 22398, 112900, 16144, 114435, 113468, 122401, 103646, 60868, 127674, 96452, 91482, 37823, 103906, 30512, 82420, 30369, 64467, 105888, 38641, 9174, 102616, 16325, 16556, 5486, 18, 11, 3443, 61337, 30512, 72404 ]
[ 105262, 27384, 46034, 114435, 30512, 103359, 47523, 20230, 5486, 106613, 111587, 71289, 117501, 5486, 106222, 16144, 18, 114181, 28542, 16556, 106596, 126130, 22957, 26854, 76947, 61689, 1811, 102647, 20834, 114435, 32977, 60868, 127674, 96452, 91482, 37823, 103906, 16144, 112415, 20230, 123457, 17701, 104028, 114435, 29295, 127181, 105879, 5486, 35, 12830, 40, 15682, 102616, 16556, 32335, 32977, 22023, 117943, 16144, 126574, 60868, 127674, 96452, 91482, 37823, 103906, 16144, 64467, 105888, 38641, 9174, 567, 105180, 114435, 16556, 69978, 106307, 88367, 26854, 106613, 112167, 29295, 107624, 95001, 107001, 114435, 18, 102647, 198, 17905, 61304, 17, 118821, 64467, 105888, 20230, 21601, 58942, 5486, 99959, 103672, 22398, 38093, 104760, 77181, 121410, 8107, 11907, 220, 1041, 8167, 25, 127365, 16556, 32335, 32977, 69978, 106307, 88367, 26854, 114435, 1041, 61337, 29295, 125053, 84389, 33541, 1811, 2366, 16, 8107, 15682, 87447, 113497, 29295, 16325, 82533, 121711, 79721, 29295, 5486, 99959, 103672, 22398, 38093, 104760, 15682, 102616, 106613, 111587, 108526, 108994, 91062, 29295, 87447, 113497, 54926, 127123, 38093, 104760, 16144, 100909, 9174, 102433, 114435, 55031, 32977, 93488, 29220, 76171, 127145, 105879, 5486, 2366, 16, 116358, 114435, 93488, 119557, 55031, 17905, 25129, 18, 114435, 30512, 48154, 126362, 78434, 9174, 14711, 107748, 38248, 114, 25197, 10110, 105107, 117434, 23954, 105107, 117434, 108695, 16144, 76739, 38248, 114, 25197, 15682, 5486, 845, 25129, 20230, 93488, 29220, 76171, 1811, 117434, 30512, 104356, 20230, 5486, 17792, 71289, 106222, 5486, 80539, 117501, 20230, 80631, 95, 112500, 54926, 108167, 103214, 64121, 126130, 22957, 26854, 76947, 61689, 9174, 117501, 28190, 16556, 60868, 127674, 96452, 91482, 37823, 103906, 30512, 103350, 102321, 54926, 103846, 5486, 7854, 15, 116033, 71493, 125024, 16073, 118331, 84477, 32131, 33710, 30512, 103350, 102321, 54926, 106592, 107322, 78244, 118855, 5486, 122523, 108476, 25287, 106222, 16144, 115376, 105352, 108167, 103214, 104127, 61689, 9174, 17792, 71289, 106222, 111363, 80631, 95, 112500, 103306, 123680, 102639, 110071, 104468, 5486, 47884, 17663, 31431, 127078, 104517, 16144, 103768, 112167, 71289, 28194, 101, 48864, 35330, 30512, 104908, 54926, 112686, 108638, 16144, 102332, 80195, 38641, 9174, 14711, 106030, 22398, 39850, 107840, 10110, 103242, 109519, 101513, 32648, 23954, 103242, 109519, 101513, 32648, 39850, 38248, 104, 115247, 57207, 22398, 39850, 107840, 15682, 5486, 843, 25129, 16144, 93488, 29220, 76171, 56051, 114435, 38641, 1811, 37026, 61337, 16144, 103242, 109519, 101513, 32648, 30512, 75910, 15024, 5486, 103242, 109519, 111681, 104482, 50338, 104662, 20230, 108167, 103214, 64121, 5486, 106222, 102416, 80631, 95, 112500, 127145, 9174, 57207, 22398, 39850, 107840, 15682, 5486, 117501, 28190, 16556, 57207, 22398, 39850, 107840, 9458, 76739, 47260, 91482, 113909, 16073, 2366, 20, 30512, 19012, 110, 102639, 5486, 8445, 17, 21403, 232, 114485, 30832, 105888, 50667, 30512, 118789, 109904, 42, 1932, 20230, 103296, 102936, 19732, 15024, 121423, 5486, 108167, 103214, 104004, 114435, 9174, 122270, 5486, 61337, 102351, 105352, 101523, 227, 48634, 101182, 107430, 75267, 30512, 104908, 54926, 113009, 127359, 102750, 76428, 73590, 30512, 49792, 101908, 39926, 33334, 22957, 26854, 76947, 108086, 5486, 69978, 106307, 88367, 26854, 121606, 106613, 112167, 30512, 30832, 64467, 103792, 105494, 29295, 107624, 95001, 116216, 61689, 9174, 14711, 68042, 78683, 71493, 101198, 101335, 33710, 47307, 10110, 101721, 101513, 23954, 114626, 20230, 48154, 126362, 54926, 101721, 101513, 39850, 38248, 104, 115247, 47260, 78683, 71493, 101198, 101335, 33710, 47307, 15682, 5486, 3174, 25129, 20230, 93488, 29220, 76171, 1811, 5608, 82252, 16144, 103350, 102321, 29295, 9639, 15, 8107, 30512, 30832, 105888, 20230, 108167, 103214, 17129, 115032, 104466, 5486, 47260, 78683, 71493, 101198, 101335, 33710, 47307, 32977, 9639, 15, 116033, 70141, 107441, 101544, 23538, 106613, 112167, 82420, 55723, 30512, 125053, 127145, 9174, 118789, 112535, 123680, 102639, 110071, 104468, 5486, 95221, 103550, 104721, 91875, 111363, 117271, 103306, 71493, 125024, 16073, 118331, 84477, 32131, 33710, 30512, 30832, 64467, 15024, 5486, 106222, 9554, 80631, 95, 112500, 103306, 113614, 16556, 105284, 16144, 126574, 104654, 30512, 103350, 102321, 54926, 124122, 112415, 38641, 9174, 122270, 5486, 102422, 103087, 39084, 30512, 19361, 126120, 20230, 38129, 54926, 113009, 5486, 42016, 61337, 16144, 112113, 16556, 105107, 67178, 103188, 39607, 20230, 119254, 30512, 125119, 17663, 112415, 126130, 22957, 26854, 76947, 61689, 9174, 51330, 104466, 5486, 60868, 127674, 96452, 91482, 37823, 103906, 20230, 108167, 103214, 104004, 114435, 15682, 115079, 107290, 108086, 106116, 112415, 32977, 107624, 95001, 110731, 16144, 38641, 9174, 567, 76771, 223, 105459, 29295, 108608, 24, 16144, 100909, 198, 60868, 127674, 96452, 91482, 37823, 103906, 30512, 37689, 109375, 15024, 5486, 17792, 30512, 5486, 106222, 30512, 5486, 80539, 127960, 114792, 106307, 88367, 26854, 102944, 117657, 103846, 102052, 5486, 114435, 71289, 127123, 101513, 97518, 121142, 103470, 115408, 105459, 105352, 108608, 105908, 57903, 33541, 9174, 114626, 20230, 5486, 9080, 40053, 16556, 108608, 24, 16144, 106592, 48154, 126362, 78434, 105879, 5486, 95221, 117355, 20230, 108608, 102944, 126328, 100204, 107436, 64121, 38144, 72315, 9174, 12, 106369, 107079, 16144, 33420, 106382, 30512, 114485, 33503, 17663, 198, 12, 115328, 222, 101721, 123410, 198, 12, 69839, 235, 21990, 88367, 76739, 124643, 104603, 11972, 20230, 57207, 112508, 54926, 198, 12, 87109, 31634, 26854, 102944, 15682, 37823, 109054, 29220, 33710, 102895, 103830, 20230, 69978, 107462, 47884, 198, 12, 115752, 100815, 30512, 102647, 104369, 198, 12, 9085, 105505, 67178, 16144, 124858, 30512, 78698, 107290, 47043, 30512, 102647, 104369, 198, 12, 106982, 25197, 103672, 127764, 120456, 25197, 23964, 116, 30512, 110794, 105564, 47884, 198, 12, 107732, 71289, 101721, 95221, 104309, 5486, 103087, 39084, 30512, 107792, 103664, 54926, 198, 12, 220, 33655, 16995, 15017, 101, 38144, 105107, 25446, 30512, 33420, 106382, 21105, 103, 16995, 198, 567, 220, 65316, 48154, 20230, 9174, 37271, 18904, 15682, 5486, 118899, 87177, 104482, 16144, 44620, 60868, 127674, 96452, 91482, 37823, 103906, 36761, 30512, 48154, 126362, 121256, 29295, 116898, 32149, 29295, 103351, 123253, 32149, 95532, 123011, 62004, 104533, 5486, 60868, 127674, 96452, 91482, 37823, 103906, 15682, 69978, 106307, 125396, 102677, 115552, 16556, 5486, 117501, 123050, 9458, 50211, 50667, 34171, 9458, 106613, 111587, 34171, 16144, 18, 59739, 30512, 107693, 103984, 103792, 126067, 38641, 9174, 53900, 5486, 60868, 127674, 96452, 91482, 37823, 103906, 15682, 15120, 119049, 102057, 226, 16556, 103350, 102321, 108608, 126067, 77181, 124897, 1811, 58666, 102800, 127960, 30512, 106154, 31431, 5486, 119515, 107188, 106222, 30512, 106529, 30297, 103846, 105352, 5486, 108608, 100909, 55031, 16, 59739, 101860, 59739, 27704, 107436, 64121, 38144, 112987, 32149, 29295, 123253, 32149, 95532, 69978, 106307, 125396, 30512, 37689, 109375, 15024, 120195, 38144, 5486, 105994, 20230, 109972, 106529, 119707, 107441, 114732, 109335, 60868, 127674, 96452, 91482, 37823, 103906, 111769, 19732, 113727, 33541, 105879, 5486, 66953, 119930, 30512, 37689, 109375, 109768, 90620, 118145, 106515, 16995, 38641, 9174, 114626, 103296, 98499, 104127, 16995, 90620, 50834, 5486, 97135, 16995, 79721, 1811, 128001, 128000, 22656, 77219, 15682, 5486, 49409, 101701, 115981, 105330, 105514, 16144, 102700, 102181, 44620, 1600, 38, 71493, 90962, 22398, 30512, 72404, 107290, 5232, 17039, 28713, 26854, 103087, 22656, 117903, 106391, 113638, 111363, 45893, 105888, 121359, 109432, 106613, 111587, 118953, 107610, 80805, 124366, 26269, 57207, 94550, 7705, 107809, 55031, 15120, 34048, 30512, 113487, 90397, 233, 9458, 104817, 43167, 127145, 9174, 14711, 107879, 234, 112167, 30046, 9458, 123532, 101275, 102351, 16144, 1600, 38, 111363, 113954, 30512, 102987, 109315, 102052, 5232, 18, 118821, 13177, 36, 117503, 107693, 34171, 198, 567, 220, 114435, 19732, 126330, 46729, 16144, 103359, 87177, 55031, 64121, 28713, 1600, 38, 71493, 90962, 117718, 31634, 63212, 198, 36668, 104482, 44620, 1600, 38, 71493, 90962, 22398, 30512, 72404, 107290, 5232, 17039, 28713, 26854, 103087, 22656, 117903, 106391, 113638, 111363, 45893, 105888, 36761, 30512, 119870, 17129, 58942, 5486, 103087, 22656, 117903, 16144, 76171, 102832, 71634, 73590, 9458, 116696, 107060, 5486, 17663, 26854, 78183, 43514, 13177, 103087, 35330, 16144, 26955, 254, 20834, 30046, 55031, 5486, 103087, 35330, 30512, 124042, 112535, 118482, 112415, 20230, 33655, 30297, 114435, 20230, 57237, 30369, 103296, 16144, 106613, 47095, 124001, 102208, 121432, 16144, 59739, 105722, 31431, 116326, 121980, 16, 7705, 107809, 16144, 102208, 110284, 36668, 33014, 10110, 39880, 109753, 90962, 109793, 11972, 115132, 109753, 68759, 102750, 106901, 11972, 5486, 114435, 104309, 55031, 106391, 13153, 107001, 65459, 66378, 20230, 114435, 16144, 123274, 16144, 106826, 105048, 103927, 33710, 126567, 103195, 106613, 112167, 30046, 9458, 123532, 101275, 102351, 55031, 13177, 1600, 38, 10646, 29295, 104405, 104736, 109375, 110731, 32149, 5486, 1600, 38, 123863, 120328, 112415, 109853, 126920, 108446, 50928, 103792, 32149, 116898, 17129, 115303, 59739, 13177, 113351, 120175, 99750, 10646, 119703, 106046, 126832, 16325, 120953, 126693, 108446, 50928, 99750, 30512, 45736, 62004, 110071, 32149, 109853, 105242, 100204, 106956, 9174, 121980, 16, 5232, 106613, 111587, 106518, 101275, 66870, 44620, 13177, 69978, 106307, 9554, 13153, 101544, 111363, 114300, 106106, 48634, 19732, 76171, 113714, 103906, 52884, 21909, 114435, 19732, 126330, 46729, 16144, 103192, 17129, 102800, 116690, 106391, 113638, 21909, 10646, 107420, 109531, 110548, 10110, 103460, 105635, 44971, 121057, 7705, 124042, 120270, 102181, 36761, 679, 19, 8107, 23, 9953, 5486, 79, 13, 605, 9174, 126843, 36896, 114435, 19732, 126330, 46729, 16144, 103359, 87177, 117503, 114172, 102512, 30512, 123927, 104196, 104533, 5486, 41758, 42634, 112164, 33710, 126330, 46729, 16144, 13177, 101544, 23538, 109904, 103087, 35330, 30512, 102433, 102416, 45918, 246, 73686, 54926, 105908, 103082, 123207, 123085, 114435, 16144, 101544, 23538, 109904, 114300, 106106, 48634, 16144, 103167, 17297, 15682, 111098, 76622, 102204, 100604, 116326, 121980, 17, 7705, 102677, 109688, 101513, 99750, 55031, 21990, 17129, 103468, 107173, 78244, 105262, 102433, 16144, 102472, 66953, 96452, 107446, 119254, 106116, 27384, 112495, 36668, 102701, 15682, 13177, 24615, 120, 104699, 48634, 66383, 13177, 103087, 22656, 126120, 96455, 10110, 1308, 36, 7705, 10646, 16144, 107693, 34171, 16144, 88356, 104736, 109375, 103195, 9174, 121980, 17, 5232, 106613, 111587, 106518, 101275, 66870, 44620, 13177, 69978, 106307, 9554, 13153, 101544, 111363, 114300, 106106, 48634, 19732, 76171, 113714, 103906, 52884, 21909, 114435, 19732, 126330, 46729, 16144, 103192, 17129, 102800, 116690, 106391, 113638, 21909, 10646, 107420, 109531, 110548, 10110, 103460, 105635, 44971, 121057, 7705, 124042, 120270, 102181, 36761, 679, 19, 8107, 23, 9953, 5486, 79, 13, 16, 9174, 102472, 66953, 96452, 107446, 119254, 84851, 103130, 16144, 103846, 102052, 13177, 114435, 19732, 126330, 46729, 110792, 123079, 109904, 103359, 87177, 116326, 121980, 18, 7705, 29295, 109215, 110792, 113727, 123017, 19732, 5486, 679, 17, 8107, 22, 9953, 5486, 106613, 111587, 106518, 101275, 66870, 29295, 79785, 103892, 30512, 108167, 5486, 114435, 19732, 126330, 46729, 29295, 37689, 91774, 39209, 109033, 54926, 40053, 102332, 16144, 2118, 103359, 87177, 16144, 75267, 863, 103306, 13177, 114435, 120270, 102473, 38093, 10110, 114435, 120270, 32131, 103672, 7705, 10646, 29295, 102332, 80195, 84389, 10110, 121980, 19, 65459, 103350, 102781, 20230, 92776, 56051, 49988, 37689, 87447, 20379, 16144, 41758, 105404, 57326, 119539, 103906, 22398, 71289, 114435, 120270, 123863, 127123, 40474, 110095, 16144, 55999, 19361, 9458, 37689, 91774, 39209, 109033, 29295, 111671, 103646, 1811, 679, 18, 8107, 22, 9953, 105755, 5486, 106613, 111587, 106518, 101275, 66870, 29295, 36668, 33014, 121711, 36896, 114435, 120270, 32131, 103672, 10646, 107809, 16144, 115612, 107420, 109531, 110548, 103306, 112160, 106554, 102667, 103460, 105635, 109861, 105330, 116891, 30512, 103605, 101544, 117408, 13177, 69978, 106307, 9554, 13153, 101544, 111363, 114300, 106106, 48634, 19732, 76171, 113714, 103906, 52884, 21909, 114435, 19732, 126330, 46729, 16144, 103192, 17129, 102800, 116690, 106391, 113638, 21909, 10646, 107420, 109531, 110548, 29295, 111671, 84389, 5486, 679, 19, 8107, 23, 9953, 20230, 124042, 120270, 102181, 44620, 103460, 105635, 44971, 121057, 36761, 29295, 35417, 21405, 103646, 9174, 121980, 18, 5232, 106613, 111587, 106518, 101275, 66870, 44620, 13177, 69978, 106307, 9554, 13153, 101544, 111363, 114300, 106106, 48634, 19732, 76171, 113714, 103906, 52884, 21909, 114435, 19732, 126330, 46729, 16144, 103192, 17129, 102800, 116690, 106391, 113638, 21909, 10646, 107420, 109531, 110548, 10110, 103460, 105635, 44971, 121057, 7705, 124042, 120270, 102181, 36761, 679, 19, 8107, 23, 9953, 5486, 79, 13, 1032, 102717, 32149, 126229, 1811, 43514, 26854, 64121, 20230, 36896, 123079, 109904, 103359, 87177, 118587, 76739, 16073, 105621, 78767, 73590, 19732, 42016, 104577, 117408, 101513, 97518, 126330, 46729, 32977, 101182, 9174, 121980, 19, 5232, 126738, 5486, 127515, 77181, 5486, 679, 16, 116033, 5486, 114435, 5486, 101513, 97518, 126330, 46729, 5486, 80539, 121568, 126330, 46729, 32977, 96412, 109013, 103359, 87177, 16144, 75267, 103306, 5486, 37, 7532, 10110, 112686, 102781, 120270, 107624, 104760, 38093, 7705, 30512, 103768, 112167, 103760, 33014, 117408, 2118, 57330, 47793, 11868, 10110, 112686, 102781, 120270, 32131, 103672, 7705, 863, 29295, 102404, 102780, 107113, 9174, 122270, 5486, 1600, 38, 111681, 104482, 123863, 37689, 91774, 39209, 109033, 16144, 103846, 5486, 679, 20, 8107, 605, 9953, 5486, 117501, 66870, 20230, 103271, 58911, 106424, 102667, 49409, 101701, 115981, 105330, 116891, 30512, 103605, 101544, 117408, 13177, 69978, 106307, 125396, 30512, 116348, 30369, 111681, 104482, 30512, 78698, 101557, 106, 56051, 126330, 123863, 111800, 118219, 38093, 10110, 1600, 38, 111800, 118219, 38093, 7705, 10646, 29295, 102332, 22324, 84389, 5486, 679, 22, 8107, 16, 9953, 20230, 44620, 1600, 38, 111800, 118219, 38093, 120270, 102181, 36761, 29295, 35417, 21405, 103646, 9174, 85701, 33503, 126365, 110071, 104466, 36896, 114435, 19732, 126330, 46729, 110792, 123079, 109904, 103359, 87177, 10646, 123863, 76171, 102832, 71634, 73590 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 105262, 27384, 46034, 114435, 30512, 103359, 47523, 20230, 5486, 106613, 111587, 71289, 117501, 5486, 106222, 16144, 18, 114181, 28542, 16556, 106596, 126130, 22957, 26854, 76947, 61689, 1811, 102647, 20834, 114435, 32977, 60868, 127674, 96452, 91482, 37823, 103906, 16144, 112415, 20230, 123457, 17701, 104028, 114435, 29295, 127181, 105879, 5486, 35, 12830, 40, 15682, 102616, 16556, 32335, 32977, 22023, 117943, 16144, 126574, 60868, 127674, 96452, 91482, 37823, 103906, 16144, 64467, 105888, 38641, 9174, 567, 105180, 114435, 16556, 69978, 106307, 88367, 26854, 106613, 112167, 29295, 107624, 95001, 107001, 114435, 18, 102647, 198, 17905, 61304, 17, 118821, 64467, 105888, 20230, 21601, 58942, 5486, 99959, 103672, 22398, 38093, 104760, 77181, 121410, 8107, 11907, 220, 1041, 8167, 25, 127365, 16556, 32335, 32977, 69978, 106307, 88367, 26854, 114435, 1041, 61337, 29295, 125053, 84389, 33541, 1811, 2366, 16, 8107, 15682, 87447, 113497, 29295, 16325, 82533, 121711, 79721, 29295, 5486, 99959, 103672, 22398, 38093, 104760, 15682, 102616, 106613, 111587, 108526, 108994, 91062, 29295, 87447, 113497, 54926, 127123, 38093, 104760, 16144, 100909, 9174, 102433, 114435, 55031, 32977, 93488, 29220, 76171, 127145, 105879, 5486, 2366, 16, 116358, 114435, 93488, 119557, 55031, 17905, 25129, 18, 114435, 30512, 48154, 126362, 78434, 9174, 14711, 107748, 38248, 114, 25197, 10110, 105107, 117434, 23954, 105107, 117434, 108695, 16144, 76739, 38248, 114, 25197, 15682, 5486, 845, 25129, 20230, 93488, 29220, 76171, 1811, 117434, 30512, 104356, 20230, 5486, 17792, 71289, 106222, 5486, 80539, 117501, 20230, 80631, 95, 112500, 54926, 108167, 103214, 64121, 126130, 22957, 26854, 76947, 61689, 9174, 117501, 28190, 16556, 60868, 127674, 96452, 91482, 37823, 103906, 30512, 103350, 102321, 54926, 103846, 5486, 7854, 15, 116033, 71493, 125024, 16073, 118331, 84477, 32131, 33710, 30512, 103350, 102321, 54926, 106592, 107322, 78244, 118855, 5486, 122523, 108476, 25287, 106222, 16144, 115376, 105352, 108167, 103214, 104127, 61689, 9174, 17792, 71289, 106222, 111363, 80631, 95, 112500, 103306, 123680, 102639, 110071, 104468, 5486, 47884, 17663, 31431, 127078, 104517, 16144, 103768, 112167, 71289, 28194, 101, 48864, 35330, 30512, 104908, 54926, 112686, 108638, 16144, 102332, 80195, 38641, 9174, 14711, 106030, 22398, 39850, 107840, 10110, 103242, 109519, 101513, 32648, 23954, 103242, 109519, 101513, 32648, 39850, 38248, 104, 115247, 57207, 22398, 39850, 107840, 15682, 5486, 843, 25129, 16144, 93488, 29220, 76171, 56051, 114435, 38641, 1811, 37026, 61337, 16144, 103242, 109519, 101513, 32648, 30512, 75910, 15024, 5486, 103242, 109519, 111681, 104482, 50338, 104662, 20230, 108167, 103214, 64121, 5486, 106222, 102416, 80631, 95, 112500, 127145, 9174, 57207, 22398, 39850, 107840, 15682, 5486, 117501, 28190, 16556, 57207, 22398, 39850, 107840, 9458, 76739, 47260, 91482, 113909, 16073, 2366, 20, 30512, 19012, 110, 102639, 5486, 8445, 17, 21403, 232, 114485, 30832, 105888, 50667, 30512, 118789, 109904, 42, 1932, 20230, 103296, 102936, 19732, 15024, 121423, 5486, 108167, 103214, 104004, 114435, 9174, 122270, 5486, 61337, 102351, 105352, 101523, 227, 48634, 101182, 107430, 75267, 30512, 104908, 54926, 113009, 127359, 102750, 76428, 73590, 30512, 49792, 101908, 39926, 33334, 22957, 26854, 76947, 108086, 5486, 69978, 106307, 88367, 26854, 121606, 106613, 112167, 30512, 30832, 64467, 103792, 105494, 29295, 107624, 95001, 116216, 61689, 9174, 14711, 68042, 78683, 71493, 101198, 101335, 33710, 47307, 10110, 101721, 101513, 23954, 114626, 20230, 48154, 126362, 54926, 101721, 101513, 39850, 38248, 104, 115247, 47260, 78683, 71493, 101198, 101335, 33710, 47307, 15682, 5486, 3174, 25129, 20230, 93488, 29220, 76171, 1811, 5608, 82252, 16144, 103350, 102321, 29295, 9639, 15, 8107, 30512, 30832, 105888, 20230, 108167, 103214, 17129, 115032, 104466, 5486, 47260, 78683, 71493, 101198, 101335, 33710, 47307, 32977, 9639, 15, 116033, 70141, 107441, 101544, 23538, 106613, 112167, 82420, 55723, 30512, 125053, 127145, 9174, 118789, 112535, 123680, 102639, 110071, 104468, 5486, 95221, 103550, 104721, 91875, 111363, 117271, 103306, 71493, 125024, 16073, 118331, 84477, 32131, 33710, 30512, 30832, 64467, 15024, 5486, 106222, 9554, 80631, 95, 112500, 103306, 113614, 16556, 105284, 16144, 126574, 104654, 30512, 103350, 102321, 54926, 124122, 112415, 38641, 9174, 122270, 5486, 102422, 103087, 39084, 30512, 19361, 126120, 20230, 38129, 54926, 113009, 5486, 42016, 61337, 16144, 112113, 16556, 105107, 67178, 103188, 39607, 20230, 119254, 30512, 125119, 17663, 112415, 126130, 22957, 26854, 76947, 61689, 9174, 51330, 104466, 5486, 60868, 127674, 96452, 91482, 37823, 103906, 20230, 108167, 103214, 104004, 114435, 15682, 115079, 107290, 108086, 106116, 112415, 32977, 107624, 95001, 110731, 16144, 38641, 9174, 567, 76771, 223, 105459, 29295, 108608, 24, 16144, 100909, 198, 60868, 127674, 96452, 91482, 37823, 103906, 30512, 37689, 109375, 15024, 5486, 17792, 30512, 5486, 106222, 30512, 5486, 80539, 127960, 114792, 106307, 88367, 26854, 102944, 117657, 103846, 102052, 5486, 114435, 71289, 127123, 101513, 97518, 121142, 103470, 115408, 105459, 105352, 108608, 105908, 57903, 33541, 9174, 114626, 20230, 5486, 9080, 40053, 16556, 108608, 24, 16144, 106592, 48154, 126362, 78434, 105879, 5486, 95221, 117355, 20230, 108608, 102944, 126328, 100204, 107436, 64121, 38144, 72315, 9174, 12, 106369, 107079, 16144, 33420, 106382, 30512, 114485, 33503, 17663, 198, 12, 115328, 222, 101721, 123410, 198, 12, 69839, 235, 21990, 88367, 76739, 124643, 104603, 11972, 20230, 57207, 112508, 54926, 198, 12, 87109, 31634, 26854, 102944, 15682, 37823, 109054, 29220, 33710, 102895, 103830, 20230, 69978, 107462, 47884, 198, 12, 115752, 100815, 30512, 102647, 104369, 198, 12, 9085, 105505, 67178, 16144, 124858, 30512, 78698, 107290, 47043, 30512, 102647, 104369, 198, 12, 106982, 25197, 103672, 127764, 120456, 25197, 23964, 116, 30512, 110794, 105564, 47884, 198, 12, 107732, 71289, 101721, 95221, 104309, 5486, 103087, 39084, 30512, 107792, 103664, 54926, 198, 12, 220, 33655, 16995, 15017, 101, 38144, 105107, 25446, 30512, 33420, 106382, 21105, 103, 16995, 198, 567, 220, 65316, 48154, 20230, 9174, 37271, 18904, 15682, 5486, 118899, 87177, 104482, 16144, 44620, 60868, 127674, 96452, 91482, 37823, 103906, 36761, 30512, 48154, 126362, 121256, 29295, 116898, 32149, 29295, 103351, 123253, 32149, 95532, 123011, 62004, 104533, 5486, 60868, 127674, 96452, 91482, 37823, 103906, 15682, 69978, 106307, 125396, 102677, 115552, 16556, 5486, 117501, 123050, 9458, 50211, 50667, 34171, 9458, 106613, 111587, 34171, 16144, 18, 59739, 30512, 107693, 103984, 103792, 126067, 38641, 9174, 53900, 5486, 60868, 127674, 96452, 91482, 37823, 103906, 15682, 15120, 119049, 102057, 226, 16556, 103350, 102321, 108608, 126067, 77181, 124897, 1811, 58666, 102800, 127960, 30512, 106154, 31431, 5486, 119515, 107188, 106222, 30512, 106529, 30297, 103846, 105352, 5486, 108608, 100909, 55031, 16, 59739, 101860, 59739, 27704, 107436, 64121, 38144, 112987, 32149, 29295, 123253, 32149, 95532, 69978, 106307, 125396, 30512, 37689, 109375, 15024, 120195, 38144, 5486, 105994, 20230, 109972, 106529, 119707, 107441, 114732, 109335, 60868, 127674, 96452, 91482, 37823, 103906, 111769, 19732, 113727, 33541, 105879, 5486, 66953, 119930, 30512, 37689, 109375, 109768, 90620, 118145, 106515, 16995, 38641, 9174, 114626, 103296, 98499, 104127, 16995, 90620, 50834, 5486, 97135, 16995, 79721, 1811, 128001, 128000, 22656, 77219, 15682, 5486, 49409, 101701, 115981, 105330, 105514, 16144, 102700, 102181, 44620, 1600, 38, 71493, 90962, 22398, 30512, 72404, 107290, 5232, 17039, 28713, 26854, 103087, 22656, 117903, 106391, 113638, 111363, 45893, 105888, 121359, 109432, 106613, 111587, 118953, 107610, 80805, 124366, 26269, 57207, 94550, 7705, 107809, 55031, 15120, 34048, 30512, 113487, 90397, 233, 9458, 104817, 43167, 127145, 9174, 14711, 107879, 234, 112167, 30046, 9458, 123532, 101275, 102351, 16144, 1600, 38, 111363, 113954, 30512, 102987, 109315, 102052, 5232, 18, 118821, 13177, 36, 117503, 107693, 34171, 198, 567, 220, 114435, 19732, 126330, 46729, 16144, 103359, 87177, 55031, 64121, 28713, 1600, 38, 71493, 90962, 117718, 31634, 63212, 198, 36668, 104482, 44620, 1600, 38, 71493, 90962, 22398, 30512, 72404, 107290, 5232, 17039, 28713, 26854, 103087, 22656, 117903, 106391, 113638, 111363, 45893, 105888, 36761, 30512, 119870, 17129, 58942, 5486, 103087, 22656, 117903, 16144, 76171, 102832, 71634, 73590, 9458, 116696, 107060, 5486, 17663, 26854, 78183, 43514, 13177, 103087, 35330, 16144, 26955, 254, 20834, 30046, 55031, 5486, 103087, 35330, 30512, 124042, 112535, 118482, 112415, 20230, 33655, 30297, 114435, 20230, 57237, 30369, 103296, 16144, 106613, 47095, 124001, 102208, 121432, 16144, 59739, 105722, 31431, 116326, 121980, 16, 7705, 107809, 16144, 102208, 110284, 36668, 33014, 10110, 39880, 109753, 90962, 109793, 11972, 115132, 109753, 68759, 102750, 106901, 11972, 5486, 114435, 104309, 55031, 106391, 13153, 107001, 65459, 66378, 20230, 114435, 16144, 123274, 16144, 106826, 105048, 103927, 33710, 126567, 103195, 106613, 112167, 30046, 9458, 123532, 101275, 102351, 55031, 13177, 1600, 38, 10646, 29295, 104405, 104736, 109375, 110731, 32149, 5486, 1600, 38, 123863, 120328, 112415, 109853, 126920, 108446, 50928, 103792, 32149, 116898, 17129, 115303, 59739, 13177, 113351, 120175, 99750, 10646, 119703, 106046, 126832, 16325, 120953, 126693, 108446, 50928, 99750, 30512, 45736, 62004, 110071, 32149, 109853, 105242, 100204, 106956, 9174, 121980, 16, 5232, 106613, 111587, 106518, 101275, 66870, 44620, 13177, 69978, 106307, 9554, 13153, 101544, 111363, 114300, 106106, 48634, 19732, 76171, 113714, 103906, 52884, 21909, 114435, 19732, 126330, 46729, 16144, 103192, 17129, 102800, 116690, 106391, 113638, 21909, 10646, 107420, 109531, 110548, 10110, 103460, 105635, 44971, 121057, 7705, 124042, 120270, 102181, 36761, 679, 19, 8107, 23, 9953, 5486, 79, 13, 605, 9174, 126843, 36896, 114435, 19732, 126330, 46729, 16144, 103359, 87177, 117503, 114172, 102512, 30512, 123927, 104196, 104533, 5486, 41758, 42634, 112164, 33710, 126330, 46729, 16144, 13177, 101544, 23538, 109904, 103087, 35330, 30512, 102433, 102416, 45918, 246, 73686, 54926, 105908, 103082, 123207, 123085, 114435, 16144, 101544, 23538, 109904, 114300, 106106, 48634, 16144, 103167, 17297, 15682, 111098, 76622, 102204, 100604, 116326, 121980, 17, 7705, 102677, 109688, 101513, 99750, 55031, 21990, 17129, 103468, 107173, 78244, 105262, 102433, 16144, 102472, 66953, 96452, 107446, 119254, 106116, 27384, 112495, 36668, 102701, 15682, 13177, 24615, 120, 104699, 48634, 66383, 13177, 103087, 22656, 126120, 96455, 10110, 1308, 36, 7705, 10646, 16144, 107693, 34171, 16144, 88356, 104736, 109375, 103195, 9174, 121980, 17, 5232, 106613, 111587, 106518, 101275, 66870, 44620, 13177, 69978, 106307, 9554, 13153, 101544, 111363, 114300, 106106, 48634, 19732, 76171, 113714, 103906, 52884, 21909, 114435, 19732, 126330, 46729, 16144, 103192, 17129, 102800, 116690, 106391, 113638, 21909, 10646, 107420, 109531, 110548, 10110, 103460, 105635, 44971, 121057, 7705, 124042, 120270, 102181, 36761, 679, 19, 8107, 23, 9953, 5486, 79, 13, 16, 9174, 102472, 66953, 96452, 107446, 119254, 84851, 103130, 16144, 103846, 102052, 13177, 114435, 19732, 126330, 46729, 110792, 123079, 109904, 103359, 87177, 116326, 121980, 18, 7705, 29295, 109215, 110792, 113727, 123017, 19732, 5486, 679, 17, 8107, 22, 9953, 5486, 106613, 111587, 106518, 101275, 66870, 29295, 79785, 103892, 30512, 108167, 5486, 114435, 19732, 126330, 46729, 29295, 37689, 91774, 39209, 109033, 54926, 40053, 102332, 16144, 2118, 103359, 87177, 16144, 75267, 863, 103306, 13177, 114435, 120270, 102473, 38093, 10110, 114435, 120270, 32131, 103672, 7705, 10646, 29295, 102332, 80195, 84389, 10110, 121980, 19, 65459, 103350, 102781, 20230, 92776, 56051, 49988, 37689, 87447, 20379, 16144, 41758, 105404, 57326, 119539, 103906, 22398, 71289, 114435, 120270, 123863, 127123, 40474, 110095, 16144, 55999, 19361, 9458, 37689, 91774, 39209, 109033, 29295, 111671, 103646, 1811, 679, 18, 8107, 22, 9953, 105755, 5486, 106613, 111587, 106518, 101275, 66870, 29295, 36668, 33014, 121711, 36896, 114435, 120270, 32131, 103672, 10646, 107809, 16144, 115612, 107420, 109531, 110548, 103306, 112160, 106554, 102667, 103460, 105635, 109861, 105330, 116891, 30512, 103605, 101544, 117408, 13177, 69978, 106307, 9554, 13153, 101544, 111363, 114300, 106106, 48634, 19732, 76171, 113714, 103906, 52884, 21909, 114435, 19732, 126330, 46729, 16144, 103192, 17129, 102800, 116690, 106391, 113638, 21909, 10646, 107420, 109531, 110548, 29295, 111671, 84389, 5486, 679, 19, 8107, 23, 9953, 20230, 124042, 120270, 102181, 44620, 103460, 105635, 44971, 121057, 36761, 29295, 35417, 21405, 103646, 9174, 121980, 18, 5232, 106613, 111587, 106518, 101275, 66870, 44620, 13177, 69978, 106307, 9554, 13153, 101544, 111363, 114300, 106106, 48634, 19732, 76171, 113714, 103906, 52884, 21909, 114435, 19732, 126330, 46729, 16144, 103192, 17129, 102800, 116690, 106391, 113638, 21909, 10646, 107420, 109531, 110548, 10110, 103460, 105635, 44971, 121057, 7705, 124042, 120270, 102181, 36761, 679, 19, 8107, 23, 9953, 5486, 79, 13, 1032, 102717, 32149, 126229, 1811, 43514, 26854, 64121, 20230, 36896, 123079, 109904, 103359, 87177, 118587, 76739, 16073, 105621, 78767, 73590, 19732, 42016, 104577, 117408, 101513, 97518, 126330, 46729, 32977, 101182, 9174, 121980, 19, 5232, 126738, 5486, 127515, 77181, 5486, 679, 16, 116033, 5486, 114435, 5486, 101513, 97518, 126330, 46729, 5486, 80539, 121568, 126330, 46729, 32977, 96412, 109013, 103359, 87177, 16144, 75267, 103306, 5486, 37, 7532, 10110, 112686, 102781, 120270, 107624, 104760, 38093, 7705, 30512, 103768, 112167, 103760, 33014, 117408, 2118, 57330, 47793, 11868, 10110, 112686, 102781, 120270, 32131, 103672, 7705, 863, 29295, 102404, 102780, 107113, 9174, 122270, 5486, 1600, 38, 111681, 104482, 123863, 37689, 91774, 39209, 109033, 16144, 103846, 5486, 679, 20, 8107, 605, 9953, 5486, 117501, 66870, 20230, 103271, 58911, 106424, 102667, 49409, 101701, 115981, 105330, 116891, 30512, 103605, 101544, 117408, 13177, 69978, 106307, 125396, 30512, 116348, 30369, 111681, 104482, 30512, 78698, 101557, 106, 56051, 126330, 123863, 111800, 118219, 38093, 10110, 1600, 38, 111800, 118219, 38093, 7705, 10646, 29295, 102332, 22324, 84389, 5486, 679, 22, 8107, 16, 9953, 20230, 44620, 1600, 38, 111800, 118219, 38093, 120270, 102181, 36761, 29295, 35417, 21405, 103646, 9174, 85701, 33503, 126365, 110071, 104466, 36896, 114435, 19732, 126330, 46729, 110792, 123079, 109904, 103359, 87177, 10646, 123863, 76171, 102832, 71634, 73590 ]
[ 9458, 116696, 107060, 56965, 16144, 104760, 105242, 29295, 30358, 101832, 124195, 33334, 57980, 27929, 605, 8107, 106613, 59739, 29295, 5486, 39442, 36785, 20230, 108618, 30369, 103087, 22656, 117903, 122692, 120328, 109606, 121270, 72661, 13177, 1600, 38, 71493, 90962, 22398, 117503, 112366, 16144, 31634, 63212, 15682, 5486, 50021, 124500, 121140, 16144, 47260, 119263, 78683, 102663, 38248, 115, 78205, 113883, 121432, 16937, 37087, 36785, 106046, 126832, 1811, 71493, 90962, 22398, 19732, 78244, 116285, 5486, 110298, 103664, 110776, 102181, 122692, 15973, 241, 87177, 13177, 66953, 102832, 114615, 106499, 117503, 103553, 102, 127258, 123470, 5486, 114516, 126027, 55999, 33035, 78244, 102158, 16144, 110646, 103, 21388, 19732, 106627, 107471, 29295, 114284, 20834, 107001, 29295, 5486, 114435, 30512, 108167, 112959, 47884, 106826, 105048, 103927, 33710, 126567, 56965, 16144, 109606, 15682, 5486, 11881, 242, 32977, 37271, 32977, 55999, 33035, 78244, 102158, 16144, 16937, 19000, 5486, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 121432, 16144, 16937, 37087, 5486, 80539, 43511, 30046, 111363, 16937, 15973, 249, 37729, 19732, 78244, 58942, 101200, 1811, 57980, 76947, 5486, 71493, 90962, 117718, 110226, 64063, 102052, 5486, 111681, 104482, 104736, 109375, 16144, 64531, 22649, 19732, 55999, 33035, 78244, 102158, 16144, 88356, 106391, 113638, 29295, 109215, 116787, 106116, 113009, 99849, 30512, 17663, 125231, 32149, 5486, 102677, 57933, 108941, 109853, 78698, 105085, 15024, 50338, 104662, 111363, 45893, 119049, 112028, 105564, 117408, 112973, 101462, 247, 16995, 103195, 9174, 567, 469, 7939, 123863, 55999, 33035, 78244, 102158, 16144, 23187, 104577, 198, 102433, 16144, 102472, 66953, 96452, 107446, 119254, 16144, 103130, 77413, 71289, 1600, 38, 126330, 16144, 26955, 94, 27384, 5486, 80539, 117501, 109606, 16144, 109161, 33208, 101427, 122, 70141, 104309, 29295, 114734, 106613, 111587, 112415, 20230, 82317, 109416, 17663, 117375, 113115, 54926, 102616, 16144, 117903, 116690, 112919, 13177, 112997, 29220, 104736, 109375, 16144, 45736, 109709, 116326, 121980, 20, 7705, 112212, 5486, 103087, 22656, 117903, 16144, 76171, 102832, 71634, 73590, 9458, 116696, 107060, 16144, 106391, 13153, 102351, 103195, 106045, 44416, 40265, 91077, 5486, 1600, 38, 126330, 46729, 5486, 114435, 16144, 2871, 126913, 30046, 71289, 60868, 106826, 96452, 91482, 37823, 103906, 34048, 103722, 108948, 119517, 15120, 34048, 16144, 106613, 112167, 30046, 125030, 76947, 5486, 1600, 38, 32977, 106624, 15682, 60868, 106826, 96452, 91482, 37823, 103906, 111363, 108167, 103214, 64121, 29295, 107693, 26854, 106613, 112167, 111681, 104482, 103195, 102677, 113954, 15682, 33541, 33541, 102987, 17129, 103836, 9174, 80673, 5486, 1600, 38, 123863, 112415, 29295, 114435, 16144, 123532, 101275, 102351, 16144, 43240, 47884, 20230, 113351, 120175, 99750, 30512, 32977, 76947, 108446, 50928, 110731, 32149, 104405, 32149, 5486, 104760, 105242, 16144, 89783, 30590, 107407, 104468, 26854, 112371, 108995, 32149, 1811, 105184, 111201, 5486, 5608, 82252, 102677, 112690, 29295, 68759, 118283, 101198, 30512, 83812, 239, 110027, 5486, 95221, 103550, 104721, 91875, 109606, 30512, 104356, 20230, 127123, 112535, 109688, 101513, 99750, 30512, 32977, 76947, 104760, 105242, 84389, 5486, 114435, 107809, 77181, 1600, 38, 126913, 30046, 29295, 121101, 103306, 61337, 32943, 27699, 116, 108950, 20230, 109526, 235, 72718, 109846, 5486, 127177, 123532, 101275, 102351, 107809, 102052, 5486, 107173, 126693, 5486, 105212, 5486, 94134, 33014, 5486, 114435, 16144, 106613, 112167, 30046, 5486, 80539, 61337, 48915, 16144, 1600, 38, 114363, 103722, 46729, 71289, 61337, 32943, 1600, 38, 126913, 30046, 123160, 13177, 1600, 38, 101634, 117503, 17792, 105459, 107898, 49988, 72342, 102677, 17792, 32977, 107991, 108995, 9174, 53900, 5486, 123532, 101275, 102351, 121142, 103470, 106613, 112167, 30046, 16556, 30813, 58942, 5486, 1600, 38, 15682, 109178, 102138, 112415, 71289, 103232, 101701, 121536, 16144, 80866, 19012, 225, 112415, 104309, 103672, 93488, 103906, 39880, 109904, 106222, 80631, 95, 112500, 112028, 108476, 103306, 103350, 102923, 54926, 13177, 71122, 10110, 114435, 16144, 106222, 9554, 113160, 49988, 7705, 10646, 19732, 104736, 109375, 103792, 116537, 112185, 43240, 32149, 103950, 1811, 122270, 5486, 1600, 38, 112415, 20230, 107969, 64209, 26854, 114435, 72661, 5486, 105994, 105459, 29295, 121101, 20230, 120988, 78183, 103836, 37026, 61337, 16144, 22656, 101275, 20230, 104405, 59739, 105722, 103836, 104865, 5486, 113954, 103082, 126386, 123532, 101275, 102351, 32977, 107991, 32149, 121061, 9174, 15120, 24273, 5486, 126330, 46729, 16144, 43240, 104091, 43240, 103826, 26854, 78683, 106240, 71289, 108267, 80195, 54926, 1600, 38, 107624, 95001, 101513, 97518, 16144, 107624, 95001, 100818, 116, 16144, 121953, 112212, 5486, 103188, 27479, 16144, 105550, 108327, 34171, 20230, 114146, 28713, 87447, 20379, 30512, 117598, 110071, 105908, 5486, 114435, 32943, 102208, 34048, 113112, 16144, 121101, 109972, 106529, 30512, 115079, 27384, 107726, 5486, 116900, 20230, 1600, 38, 126913, 30046, 29295, 30832, 64467, 17663, 61337, 123727, 55999, 99750, 105194, 116, 13153, 111363, 108502, 104698, 121711, 32149, 101832, 100604, 1811, 112599, 16144, 1600, 38, 123863, 111681, 104482, 16144, 16, 59739, 15682, 5486, 108895, 56051, 87447, 20379, 16144, 124122, 87447, 20379, 10110, 13177, 1600, 38, 124981, 116219, 66383, 32977, 78244, 58942, 101200, 120732, 105933, 115707, 121930, 117758, 110645, 105368, 127303, 103950, 9174, 110382, 77181, 126843, 5486, 123532, 101275, 102351, 16144, 108446, 50928, 99750, 29295, 50928, 102204, 100604, 31634, 63212, 16144, 16, 59739, 103306, 5486, 1600, 38, 16144, 126067, 16144, 111044, 29295, 108285, 103188, 105557, 38144, 5486, 97518, 89046, 54926, 11883, 102158, 16144, 23187, 104577, 29295, 27552, 244, 11881, 100, 115717, 5486, 112690, 29295, 107960, 108267, 103792, 102677, 111681, 104482, 104736, 109375, 30512, 123680, 102639, 38144, 33334, 105898, 16995, 124845, 1600, 38, 16144, 55999, 33035, 78244, 102158, 29295, 104760, 105242, 84389, 100604, 114667, 16144, 16, 59739, 20230, 5486, 27929, 32977, 27929, 32977, 112160, 34048, 16144, 126330, 46729, 16144, 113727, 24273, 103306, 108149, 109709, 11883, 102158, 16144, 23187, 104577, 20230, 22957, 36785, 78183, 110104, 115789, 101182, 32149, 106046, 126832, 1811, 66378, 20230, 39880, 29220, 103906, 52884, 103768, 11883, 16144, 126330, 46729, 15682, 5486, 114300, 106106, 120007, 16144, 126330, 46729, 20230, 61826, 25827, 100204, 30369, 118733, 102159, 103283, 20230, 13177, 19481, 16144, 37823, 102514, 16073, 116326, 121980, 21, 7705, 30512, 108167, 120650, 47884, 112973, 117876, 26854, 105879, 5486, 114435, 111363, 102159, 103283, 18655, 103234, 121960, 1600, 38, 16144, 23187, 117332, 31634, 72238, 109853, 113954, 39926, 103801, 116285, 5486, 101275, 98220, 37087, 33014, 122692, 55999, 33035, 78244, 102158, 105184, 80195, 15682, 76171, 113714, 103906, 52884, 121711, 50928, 100604, 32149, 121061, 115397, 24273, 5486, 114435, 110366, 32977, 37026, 61337, 30512, 107624, 95001, 39926, 124089, 118322, 123628, 126330, 46729, 20230, 108156, 29430, 30512, 107691, 114598, 33503, 116285, 57980, 16995, 105879, 5486, 1600, 38, 16144, 21405, 102321, 109853, 32977, 13177, 37026, 61337, 33503, 21105, 243, 118587, 21405, 117158, 15024, 103188, 105557, 38144, 5486, 126330, 46729, 29295, 30358, 103984, 54926, 50021, 106483, 125261, 34171, 20230, 55487, 101557, 106, 21105, 103, 16995, 70141, 50834, 32977, 30591, 103950, 1811, 17663, 26854, 78183, 43514, 5486, 103087, 22656, 117903, 16144, 110284, 112919, 102159, 103283, 32335, 109431, 26854, 123120, 29295, 37087, 33014, 32335, 109431, 26854, 113702, 102052, 59614, 101860, 15024, 32977, 59739, 105722, 107462, 100604, 112973, 102321, 103397, 103195, 1811, 108895, 39926, 5486, 1600, 38, 16144, 23187, 104577, 30512, 27552, 244, 11881, 100, 116446, 105898, 105908, 5486, 103087, 22656, 117903, 16144, 106826, 105048, 103927, 33710, 126567, 56965, 16144, 107960, 108267, 30512, 21990, 126559, 31634, 63212, 16144, 16, 59739, 19732, 78698, 105262, 9174, 121980, 21, 5232, 110382, 113245, 19481, 10110, 125494, 110226, 105576, 96455, 90581, 103911, 101067, 110226, 105576, 96455, 119735, 5486, 108156, 29430, 103768, 11883, 29295, 117903, 115274, 113115, 39926, 67645, 33121, 103378, 72404, 103188, 37823, 102514, 16073, 30512, 50928, 109115, 32149, 30512, 21405, 17663, 64467, 105888, 9174, 30813, 38144, 5486, 1600, 38, 107118, 1691, 126241, 109156, 31431, 125559, 55031, 17701, 121118, 112690, 109846, 5486, 27929, 32977, 27929, 32977, 102433, 77181, 5486, 106222, 19732, 114435, 32977, 106624, 15682, 102159, 114754, 97518, 78183, 30369, 111681, 104482, 109853, 15682, 5486, 70277, 109076, 55031, 31958, 71005, 112649, 107441, 5486, 60358, 70277, 33122, 107707, 115981, 48864, 13177, 46091, 24273, 57980, 15024, 10646, 5486, 35086, 233, 111338, 15308, 226, 15120, 29295, 110125, 107800, 13177, 105242, 102158, 19732, 70203, 114457, 10646, 5486, 104500, 17297, 106515, 55030, 103129, 16144, 13177, 114435, 15682, 106222, 16144, 35417, 32648, 10646, 123160, 113727, 29295, 110125, 58942, 102204, 103350, 124299, 116216, 105898, 29295, 5486, 60358, 31640, 109156, 76947, 55031, 35417, 104698, 16144, 106222, 111681, 104482, 33208, 32977, 30591, 76947, 117501, 109606, 29295, 110305, 106240, 122060, 107001, 101200, 110276, 1811, 102669, 74482, 109156, 104533, 13177, 71122, 5232, 87628, 9983, 78712, 10110, 114435, 16144, 106222, 9554, 113160, 49988, 7705, 10646, 126067, 16144, 108285, 29295, 31431, 29295, 91774, 102204, 115515, 77181, 36896, 60868, 106826, 96452, 91482, 37823, 103906, 5232, 50, 74585, 10110, 69978, 106307, 125396, 7705, 10646, 36896, 45309, 5232, 26021, 17423, 5273, 10110, 55999, 33035, 95001, 112603, 16144, 109832, 67178, 7705, 116326, 121980, 22, 7705, 36896, 5608, 82252, 5232, 50, 42341, 11050, 55293, 10110, 69978, 106307, 88367, 26854, 122401, 30832, 105888, 7705, 116326, 121980, 23, 7705, 123160, 112690, 29295, 101083, 56965, 30512, 83812, 239, 78183, 103792, 29295, 115847, 120577, 112690, 16144, 115552, 29295, 104770, 104409, 103792, 105908, 5486, 107960, 108267, 112028, 63212, 106046, 126832, 9174, 121980, 22, 5232, 679, 16, 116033, 102040, 112164, 65575, 102667, 16144, 68759, 25197, 102663, 33710, 9458, 36, 9458, 89154, 120770, 116891, 50667, 113468, 102040, 112164, 65575, 9458, 91482, 76428, 102750, 22398, 9458, 108518, 109496, 16144, 105242, 17161, 126250, 29172, 110125, 103646, 9174, 121980, 23, 5232, 50520, 111, 106624, 15682, 48915, 102781, 66870, 16144, 6109, 116229, 13177, 41, 2599, 1111, 8189, 82252, 5703, 17916, 118587, 126229, 103646, 16995, 9174, 27929, 32977, 27929, 32977, 5486, 1600, 38, 109853, 15682, 5486, 1049, 21, 116033, 29504, 89046, 16144, 39880, 96452, 16073, 123357, 110022, 101544, 10110, 40265, 39177, 7705, 29295, 104356, 121711, 114734, 101275, 98220, 121254, 107441, 29172, 110125, 103646, 25197, 78683, 114741, 78459, 52884, 13177, 58442, 5232, 3617, 5824, 645, 369, 68728, 33350, 10110, 113160, 49988, 126330, 53229, 108630, 7705, 10646, 107809, 16556, 110125, 58942, 109115, 112973, 27704, 109709, 19732, 107001, 1811, 58442, 15682, 13177, 113160, 49988, 126330, 30512, 117501, 10110, 13013, 65459, 106222, 10110, 27414, 65459, 102472, 66953, 96452, 107446, 10110, 78706, 685, 120732, 31634, 63212, 10110, 1600, 38, 31634, 63212, 7705, 30512, 126330, 122074, 71289, 39880, 29220, 103906, 52884, 9458, 90962, 109793, 38248, 115, 103830, 20230, 103214, 64121, 104526, 104004, 124122, 102669, 105838, 124001, 101557, 96, 23039, 19732, 23187, 104577, 116326, 121980, 24, 7705, 103792, 29295, 5486, 103359, 47523, 30046, 15682, 101513, 97518, 126330, 46729, 123160, 114734, 101275, 98220, 103195, 9174, 126738, 5486, 1600, 38, 16144, 13177, 10646, 36896, 117669, 10646, 36896, 1569, 100, 10646, 109853, 15682, 5486, 108748, 104930, 11972, 10110, 106090, 114050, 7705, 101182, 16995, 15682, 116731, 103621, 102540, 29295, 108010, 30297, 126067, 29295, 105360, 32218, 20230, 121247, 78183, 115032, 102677, 108010, 34208, 99750, 15682, 26955, 255, 119841, 1811, 103460, 105635, 10110, 679, 23, 119735, 13177, 1600, 38, 16144, 116690, 34171, 104088, 104533, 5486, 1600, 38, 15682, 80805, 26269, 102663, 78767, 116787, 5486, 18, 118821, 50021, 106483, 113266, 113468, 13153, 31431, 80195, 103836, 1811, 101427, 246, 30512, 27452, 20230, 112990, 112160, 87217, 61826, 79982, 16144, 102465, 104584, 29295, 38, 5486, 118396, 16144, 105651, 61826, 29295, 36, 19732, 50, 16144, 25197, 126989, 36785, 1811, 36, 19732, 50, 16144, 44971, 115882, 30512, 67645, 119775, 113801, 109415, 30369, 104865, 5486, 36, 19732, 50, 30512, 67645, 119775, 113404, 15024, 44416, 109088, 109768, 47884, 104865, 5486, 37087, 38144, 15682, 38, 29295, 71493, 104603, 30512, 111665, 103836, 116326, 121980, 605, 7705, 19732, 122984, 103792, 9174, 121980, 605, 5232, 103460, 105635, 109861, 105330, 13177, 1600, 38, 19732, 105156, 40862, 120270, 30512, 116348, 30369, 118899, 16144, 91875, 50834, 10646, 124620, 106613, 111587, 108285, 78943, 121359, 106613, 111587, 108285, 78943, 120690, 7705, 679, 23, 8107, 16, 9953, 18476, 9174, 13177, 114435, 19732, 126330, 46729, 16144, 123079, 109904, 103359, 87177, 117503, 114181, 28542, 20230, 75146, 109669, 50834, 1600, 38, 16144, 23187, 104577, 109853, 20379, 17663, 1811, 126843, 36896, 36, 10646, 109853, 15682, 5486, 117501, 123863, 120328, 109606, 10110, 95221, 103550, 104721, 91875, 5486, 104840, 102452, 8239, 114503, 102472, 117718, 61056, 20834, 5486, 53610, 30512, 96412, 104004, 103087, 39084, 16144, 20119, 107, 35086, 229, 5486, 25766, 225, 77062, 226, 53953, 124001, 21980, 248, 108208, 7705, 109853, 5486, 55487, 101557, 106, 15024, 23226, 106594, 54926, 124122, 31634, 72238, 117408, 109900, 102052, 5486, 114435, 110366, 29295, 47260, 71634, 103306, 108167, 103214, 104004, 100909, 10110, 112997, 29220, 7705, 19732, 5486, 91482, 76428, 102750, 22398, 103306, 47000, 21601, 95001, 112603, 30512, 45736, 109315, 100909, 10110, 101513, 38093, 120732, 110176, 28190, 115991, 30297, 30369, 1811, 126738, 5486, 35417, 104698, 109606, 111363, 117271, 30512, 50834, 42891, 126929, 20230, 5486, 123532, 101275, 102351, 111848, 117501, 33563, 37087, 112415, 104309, 29295, 61337, 32943, 20230, 23187, 100815, 103792, 102433, 114435, 32977, 43240, 47884, 91774, 110071, 9174, 13177, 50, 10646, 17663, 26854, 78183, 43514, 13177, 106222, 10646, 15682, 5486, 108285, 104577, 16144, 13177, 106222, 10646, 55031, 13177, 119208, 47260, 119263, 78683, 103906, 10646, 71289, 13177, 114435, 32943, 47260, 119263, 78683, 103906, 10646, 103296, 111044, 108285, 47884, 15017, 231, 58942, 110071, 126067, 116787, 5486, 114435, 16144, 61337, 32943 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 9458, 116696, 107060, 56965, 16144, 104760, 105242, 29295, 30358, 101832, 124195, 33334, 57980, 27929, 605, 8107, 106613, 59739, 29295, 5486, 39442, 36785, 20230, 108618, 30369, 103087, 22656, 117903, 122692, 120328, 109606, 121270, 72661, 13177, 1600, 38, 71493, 90962, 22398, 117503, 112366, 16144, 31634, 63212, 15682, 5486, 50021, 124500, 121140, 16144, 47260, 119263, 78683, 102663, 38248, 115, 78205, 113883, 121432, 16937, 37087, 36785, 106046, 126832, 1811, 71493, 90962, 22398, 19732, 78244, 116285, 5486, 110298, 103664, 110776, 102181, 122692, 15973, 241, 87177, 13177, 66953, 102832, 114615, 106499, 117503, 103553, 102, 127258, 123470, 5486, 114516, 126027, 55999, 33035, 78244, 102158, 16144, 110646, 103, 21388, 19732, 106627, 107471, 29295, 114284, 20834, 107001, 29295, 5486, 114435, 30512, 108167, 112959, 47884, 106826, 105048, 103927, 33710, 126567, 56965, 16144, 109606, 15682, 5486, 11881, 242, 32977, 37271, 32977, 55999, 33035, 78244, 102158, 16144, 16937, 19000, 5486, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 121432, 16144, 16937, 37087, 5486, 80539, 43511, 30046, 111363, 16937, 15973, 249, 37729, 19732, 78244, 58942, 101200, 1811, 57980, 76947, 5486, 71493, 90962, 117718, 110226, 64063, 102052, 5486, 111681, 104482, 104736, 109375, 16144, 64531, 22649, 19732, 55999, 33035, 78244, 102158, 16144, 88356, 106391, 113638, 29295, 109215, 116787, 106116, 113009, 99849, 30512, 17663, 125231, 32149, 5486, 102677, 57933, 108941, 109853, 78698, 105085, 15024, 50338, 104662, 111363, 45893, 119049, 112028, 105564, 117408, 112973, 101462, 247, 16995, 103195, 9174, 567, 469, 7939, 123863, 55999, 33035, 78244, 102158, 16144, 23187, 104577, 198, 102433, 16144, 102472, 66953, 96452, 107446, 119254, 16144, 103130, 77413, 71289, 1600, 38, 126330, 16144, 26955, 94, 27384, 5486, 80539, 117501, 109606, 16144, 109161, 33208, 101427, 122, 70141, 104309, 29295, 114734, 106613, 111587, 112415, 20230, 82317, 109416, 17663, 117375, 113115, 54926, 102616, 16144, 117903, 116690, 112919, 13177, 112997, 29220, 104736, 109375, 16144, 45736, 109709, 116326, 121980, 20, 7705, 112212, 5486, 103087, 22656, 117903, 16144, 76171, 102832, 71634, 73590, 9458, 116696, 107060, 16144, 106391, 13153, 102351, 103195, 106045, 44416, 40265, 91077, 5486, 1600, 38, 126330, 46729, 5486, 114435, 16144, 2871, 126913, 30046, 71289, 60868, 106826, 96452, 91482, 37823, 103906, 34048, 103722, 108948, 119517, 15120, 34048, 16144, 106613, 112167, 30046, 125030, 76947, 5486, 1600, 38, 32977, 106624, 15682, 60868, 106826, 96452, 91482, 37823, 103906, 111363, 108167, 103214, 64121, 29295, 107693, 26854, 106613, 112167, 111681, 104482, 103195, 102677, 113954, 15682, 33541, 33541, 102987, 17129, 103836, 9174, 80673, 5486, 1600, 38, 123863, 112415, 29295, 114435, 16144, 123532, 101275, 102351, 16144, 43240, 47884, 20230, 113351, 120175, 99750, 30512, 32977, 76947, 108446, 50928, 110731, 32149, 104405, 32149, 5486, 104760, 105242, 16144, 89783, 30590, 107407, 104468, 26854, 112371, 108995, 32149, 1811, 105184, 111201, 5486, 5608, 82252, 102677, 112690, 29295, 68759, 118283, 101198, 30512, 83812, 239, 110027, 5486, 95221, 103550, 104721, 91875, 109606, 30512, 104356, 20230, 127123, 112535, 109688, 101513, 99750, 30512, 32977, 76947, 104760, 105242, 84389, 5486, 114435, 107809, 77181, 1600, 38, 126913, 30046, 29295, 121101, 103306, 61337, 32943, 27699, 116, 108950, 20230, 109526, 235, 72718, 109846, 5486, 127177, 123532, 101275, 102351, 107809, 102052, 5486, 107173, 126693, 5486, 105212, 5486, 94134, 33014, 5486, 114435, 16144, 106613, 112167, 30046, 5486, 80539, 61337, 48915, 16144, 1600, 38, 114363, 103722, 46729, 71289, 61337, 32943, 1600, 38, 126913, 30046, 123160, 13177, 1600, 38, 101634, 117503, 17792, 105459, 107898, 49988, 72342, 102677, 17792, 32977, 107991, 108995, 9174, 53900, 5486, 123532, 101275, 102351, 121142, 103470, 106613, 112167, 30046, 16556, 30813, 58942, 5486, 1600, 38, 15682, 109178, 102138, 112415, 71289, 103232, 101701, 121536, 16144, 80866, 19012, 225, 112415, 104309, 103672, 93488, 103906, 39880, 109904, 106222, 80631, 95, 112500, 112028, 108476, 103306, 103350, 102923, 54926, 13177, 71122, 10110, 114435, 16144, 106222, 9554, 113160, 49988, 7705, 10646, 19732, 104736, 109375, 103792, 116537, 112185, 43240, 32149, 103950, 1811, 122270, 5486, 1600, 38, 112415, 20230, 107969, 64209, 26854, 114435, 72661, 5486, 105994, 105459, 29295, 121101, 20230, 120988, 78183, 103836, 37026, 61337, 16144, 22656, 101275, 20230, 104405, 59739, 105722, 103836, 104865, 5486, 113954, 103082, 126386, 123532, 101275, 102351, 32977, 107991, 32149, 121061, 9174, 15120, 24273, 5486, 126330, 46729, 16144, 43240, 104091, 43240, 103826, 26854, 78683, 106240, 71289, 108267, 80195, 54926, 1600, 38, 107624, 95001, 101513, 97518, 16144, 107624, 95001, 100818, 116, 16144, 121953, 112212, 5486, 103188, 27479, 16144, 105550, 108327, 34171, 20230, 114146, 28713, 87447, 20379, 30512, 117598, 110071, 105908, 5486, 114435, 32943, 102208, 34048, 113112, 16144, 121101, 109972, 106529, 30512, 115079, 27384, 107726, 5486, 116900, 20230, 1600, 38, 126913, 30046, 29295, 30832, 64467, 17663, 61337, 123727, 55999, 99750, 105194, 116, 13153, 111363, 108502, 104698, 121711, 32149, 101832, 100604, 1811, 112599, 16144, 1600, 38, 123863, 111681, 104482, 16144, 16, 59739, 15682, 5486, 108895, 56051, 87447, 20379, 16144, 124122, 87447, 20379, 10110, 13177, 1600, 38, 124981, 116219, 66383, 32977, 78244, 58942, 101200, 120732, 105933, 115707, 121930, 117758, 110645, 105368, 127303, 103950, 9174, 110382, 77181, 126843, 5486, 123532, 101275, 102351, 16144, 108446, 50928, 99750, 29295, 50928, 102204, 100604, 31634, 63212, 16144, 16, 59739, 103306, 5486, 1600, 38, 16144, 126067, 16144, 111044, 29295, 108285, 103188, 105557, 38144, 5486, 97518, 89046, 54926, 11883, 102158, 16144, 23187, 104577, 29295, 27552, 244, 11881, 100, 115717, 5486, 112690, 29295, 107960, 108267, 103792, 102677, 111681, 104482, 104736, 109375, 30512, 123680, 102639, 38144, 33334, 105898, 16995, 124845, 1600, 38, 16144, 55999, 33035, 78244, 102158, 29295, 104760, 105242, 84389, 100604, 114667, 16144, 16, 59739, 20230, 5486, 27929, 32977, 27929, 32977, 112160, 34048, 16144, 126330, 46729, 16144, 113727, 24273, 103306, 108149, 109709, 11883, 102158, 16144, 23187, 104577, 20230, 22957, 36785, 78183, 110104, 115789, 101182, 32149, 106046, 126832, 1811, 66378, 20230, 39880, 29220, 103906, 52884, 103768, 11883, 16144, 126330, 46729, 15682, 5486, 114300, 106106, 120007, 16144, 126330, 46729, 20230, 61826, 25827, 100204, 30369, 118733, 102159, 103283, 20230, 13177, 19481, 16144, 37823, 102514, 16073, 116326, 121980, 21, 7705, 30512, 108167, 120650, 47884, 112973, 117876, 26854, 105879, 5486, 114435, 111363, 102159, 103283, 18655, 103234, 121960, 1600, 38, 16144, 23187, 117332, 31634, 72238, 109853, 113954, 39926, 103801, 116285, 5486, 101275, 98220, 37087, 33014, 122692, 55999, 33035, 78244, 102158, 105184, 80195, 15682, 76171, 113714, 103906, 52884, 121711, 50928, 100604, 32149, 121061, 115397, 24273, 5486, 114435, 110366, 32977, 37026, 61337, 30512, 107624, 95001, 39926, 124089, 118322, 123628, 126330, 46729, 20230, 108156, 29430, 30512, 107691, 114598, 33503, 116285, 57980, 16995, 105879, 5486, 1600, 38, 16144, 21405, 102321, 109853, 32977, 13177, 37026, 61337, 33503, 21105, 243, 118587, 21405, 117158, 15024, 103188, 105557, 38144, 5486, 126330, 46729, 29295, 30358, 103984, 54926, 50021, 106483, 125261, 34171, 20230, 55487, 101557, 106, 21105, 103, 16995, 70141, 50834, 32977, 30591, 103950, 1811, 17663, 26854, 78183, 43514, 5486, 103087, 22656, 117903, 16144, 110284, 112919, 102159, 103283, 32335, 109431, 26854, 123120, 29295, 37087, 33014, 32335, 109431, 26854, 113702, 102052, 59614, 101860, 15024, 32977, 59739, 105722, 107462, 100604, 112973, 102321, 103397, 103195, 1811, 108895, 39926, 5486, 1600, 38, 16144, 23187, 104577, 30512, 27552, 244, 11881, 100, 116446, 105898, 105908, 5486, 103087, 22656, 117903, 16144, 106826, 105048, 103927, 33710, 126567, 56965, 16144, 107960, 108267, 30512, 21990, 126559, 31634, 63212, 16144, 16, 59739, 19732, 78698, 105262, 9174, 121980, 21, 5232, 110382, 113245, 19481, 10110, 125494, 110226, 105576, 96455, 90581, 103911, 101067, 110226, 105576, 96455, 119735, 5486, 108156, 29430, 103768, 11883, 29295, 117903, 115274, 113115, 39926, 67645, 33121, 103378, 72404, 103188, 37823, 102514, 16073, 30512, 50928, 109115, 32149, 30512, 21405, 17663, 64467, 105888, 9174, 30813, 38144, 5486, 1600, 38, 107118, 1691, 126241, 109156, 31431, 125559, 55031, 17701, 121118, 112690, 109846, 5486, 27929, 32977, 27929, 32977, 102433, 77181, 5486, 106222, 19732, 114435, 32977, 106624, 15682, 102159, 114754, 97518, 78183, 30369, 111681, 104482, 109853, 15682, 5486, 70277, 109076, 55031, 31958, 71005, 112649, 107441, 5486, 60358, 70277, 33122, 107707, 115981, 48864, 13177, 46091, 24273, 57980, 15024, 10646, 5486, 35086, 233, 111338, 15308, 226, 15120, 29295, 110125, 107800, 13177, 105242, 102158, 19732, 70203, 114457, 10646, 5486, 104500, 17297, 106515, 55030, 103129, 16144, 13177, 114435, 15682, 106222, 16144, 35417, 32648, 10646, 123160, 113727, 29295, 110125, 58942, 102204, 103350, 124299, 116216, 105898, 29295, 5486, 60358, 31640, 109156, 76947, 55031, 35417, 104698, 16144, 106222, 111681, 104482, 33208, 32977, 30591, 76947, 117501, 109606, 29295, 110305, 106240, 122060, 107001, 101200, 110276, 1811, 102669, 74482, 109156, 104533, 13177, 71122, 5232, 87628, 9983, 78712, 10110, 114435, 16144, 106222, 9554, 113160, 49988, 7705, 10646, 126067, 16144, 108285, 29295, 31431, 29295, 91774, 102204, 115515, 77181, 36896, 60868, 106826, 96452, 91482, 37823, 103906, 5232, 50, 74585, 10110, 69978, 106307, 125396, 7705, 10646, 36896, 45309, 5232, 26021, 17423, 5273, 10110, 55999, 33035, 95001, 112603, 16144, 109832, 67178, 7705, 116326, 121980, 22, 7705, 36896, 5608, 82252, 5232, 50, 42341, 11050, 55293, 10110, 69978, 106307, 88367, 26854, 122401, 30832, 105888, 7705, 116326, 121980, 23, 7705, 123160, 112690, 29295, 101083, 56965, 30512, 83812, 239, 78183, 103792, 29295, 115847, 120577, 112690, 16144, 115552, 29295, 104770, 104409, 103792, 105908, 5486, 107960, 108267, 112028, 63212, 106046, 126832, 9174, 121980, 22, 5232, 679, 16, 116033, 102040, 112164, 65575, 102667, 16144, 68759, 25197, 102663, 33710, 9458, 36, 9458, 89154, 120770, 116891, 50667, 113468, 102040, 112164, 65575, 9458, 91482, 76428, 102750, 22398, 9458, 108518, 109496, 16144, 105242, 17161, 126250, 29172, 110125, 103646, 9174, 121980, 23, 5232, 50520, 111, 106624, 15682, 48915, 102781, 66870, 16144, 6109, 116229, 13177, 41, 2599, 1111, 8189, 82252, 5703, 17916, 118587, 126229, 103646, 16995, 9174, 27929, 32977, 27929, 32977, 5486, 1600, 38, 109853, 15682, 5486, 1049, 21, 116033, 29504, 89046, 16144, 39880, 96452, 16073, 123357, 110022, 101544, 10110, 40265, 39177, 7705, 29295, 104356, 121711, 114734, 101275, 98220, 121254, 107441, 29172, 110125, 103646, 25197, 78683, 114741, 78459, 52884, 13177, 58442, 5232, 3617, 5824, 645, 369, 68728, 33350, 10110, 113160, 49988, 126330, 53229, 108630, 7705, 10646, 107809, 16556, 110125, 58942, 109115, 112973, 27704, 109709, 19732, 107001, 1811, 58442, 15682, 13177, 113160, 49988, 126330, 30512, 117501, 10110, 13013, 65459, 106222, 10110, 27414, 65459, 102472, 66953, 96452, 107446, 10110, 78706, 685, 120732, 31634, 63212, 10110, 1600, 38, 31634, 63212, 7705, 30512, 126330, 122074, 71289, 39880, 29220, 103906, 52884, 9458, 90962, 109793, 38248, 115, 103830, 20230, 103214, 64121, 104526, 104004, 124122, 102669, 105838, 124001, 101557, 96, 23039, 19732, 23187, 104577, 116326, 121980, 24, 7705, 103792, 29295, 5486, 103359, 47523, 30046, 15682, 101513, 97518, 126330, 46729, 123160, 114734, 101275, 98220, 103195, 9174, 126738, 5486, 1600, 38, 16144, 13177, 10646, 36896, 117669, 10646, 36896, 1569, 100, 10646, 109853, 15682, 5486, 108748, 104930, 11972, 10110, 106090, 114050, 7705, 101182, 16995, 15682, 116731, 103621, 102540, 29295, 108010, 30297, 126067, 29295, 105360, 32218, 20230, 121247, 78183, 115032, 102677, 108010, 34208, 99750, 15682, 26955, 255, 119841, 1811, 103460, 105635, 10110, 679, 23, 119735, 13177, 1600, 38, 16144, 116690, 34171, 104088, 104533, 5486, 1600, 38, 15682, 80805, 26269, 102663, 78767, 116787, 5486, 18, 118821, 50021, 106483, 113266, 113468, 13153, 31431, 80195, 103836, 1811, 101427, 246, 30512, 27452, 20230, 112990, 112160, 87217, 61826, 79982, 16144, 102465, 104584, 29295, 38, 5486, 118396, 16144, 105651, 61826, 29295, 36, 19732, 50, 16144, 25197, 126989, 36785, 1811, 36, 19732, 50, 16144, 44971, 115882, 30512, 67645, 119775, 113801, 109415, 30369, 104865, 5486, 36, 19732, 50, 30512, 67645, 119775, 113404, 15024, 44416, 109088, 109768, 47884, 104865, 5486, 37087, 38144, 15682, 38, 29295, 71493, 104603, 30512, 111665, 103836, 116326, 121980, 605, 7705, 19732, 122984, 103792, 9174, 121980, 605, 5232, 103460, 105635, 109861, 105330, 13177, 1600, 38, 19732, 105156, 40862, 120270, 30512, 116348, 30369, 118899, 16144, 91875, 50834, 10646, 124620, 106613, 111587, 108285, 78943, 121359, 106613, 111587, 108285, 78943, 120690, 7705, 679, 23, 8107, 16, 9953, 18476, 9174, 13177, 114435, 19732, 126330, 46729, 16144, 123079, 109904, 103359, 87177, 117503, 114181, 28542, 20230, 75146, 109669, 50834, 1600, 38, 16144, 23187, 104577, 109853, 20379, 17663, 1811, 126843, 36896, 36, 10646, 109853, 15682, 5486, 117501, 123863, 120328, 109606, 10110, 95221, 103550, 104721, 91875, 5486, 104840, 102452, 8239, 114503, 102472, 117718, 61056, 20834, 5486, 53610, 30512, 96412, 104004, 103087, 39084, 16144, 20119, 107, 35086, 229, 5486, 25766, 225, 77062, 226, 53953, 124001, 21980, 248, 108208, 7705, 109853, 5486, 55487, 101557, 106, 15024, 23226, 106594, 54926, 124122, 31634, 72238, 117408, 109900, 102052, 5486, 114435, 110366, 29295, 47260, 71634, 103306, 108167, 103214, 104004, 100909, 10110, 112997, 29220, 7705, 19732, 5486, 91482, 76428, 102750, 22398, 103306, 47000, 21601, 95001, 112603, 30512, 45736, 109315, 100909, 10110, 101513, 38093, 120732, 110176, 28190, 115991, 30297, 30369, 1811, 126738, 5486, 35417, 104698, 109606, 111363, 117271, 30512, 50834, 42891, 126929, 20230, 5486, 123532, 101275, 102351, 111848, 117501, 33563, 37087, 112415, 104309, 29295, 61337, 32943, 20230, 23187, 100815, 103792, 102433, 114435, 32977, 43240, 47884, 91774, 110071, 9174, 13177, 50, 10646, 17663, 26854, 78183, 43514, 13177, 106222, 10646, 15682, 5486, 108285, 104577, 16144, 13177, 106222, 10646, 55031, 13177, 119208, 47260, 119263, 78683, 103906, 10646, 71289, 13177, 114435, 32943, 47260, 119263, 78683, 103906, 10646, 103296, 111044, 108285, 47884, 15017, 231, 58942, 110071, 126067, 116787, 5486, 114435, 16144, 61337, 32943 ]
[ 19732, 61337, 48915, 110176, 24273, 114556, 78183, 30369, 111681, 104482, 103195, 1811, 118789, 9554, 102052, 5486, 123532, 101275, 102351, 71289, 60868, 57326, 102803, 116696, 107060, 16144, 5486, 17792, 112607, 5486, 8239, 112, 122502, 117501, 5486, 122502, 50834, 125001, 115132, 39850, 78683, 103906, 10110, 121980, 806, 65459, 25132, 229, 11883, 77195, 5486, 113614, 5486, 105509, 5486, 1170, 40, 10110, 124807, 66953, 38248, 115, 103906, 5486, 76739, 29220, 25197, 103906, 120740, 76171, 29220, 33710, 78767, 78205, 16073, 116729, 121980, 717, 65459, 80539, 47000, 21601, 95001, 112603, 16144, 101182, 39880, 125916, 57326, 67075, 10110, 47043, 9458, 125175, 120732, 104908, 5486, 108446, 85188, 5486, 106222, 80631, 95, 112500, 104309, 55031, 13153, 30369, 13177, 106222, 111363, 95001, 112603, 104908, 66383, 54926, 1811, 28713, 19732, 116285, 5486, 122502, 50834, 125001, 104309, 15682, 123532, 101275, 102351, 125030, 76947, 108446, 50928, 15024, 126172, 16995, 29295, 5486, 23187, 33857, 33208, 111848, 31540, 103984, 33208, 29295, 111108, 106624, 5486, 114435, 125030, 76947, 103130, 15017, 245, 40452, 54926, 112973, 110482, 111108, 26854, 111681, 104482, 32977, 127181, 9174, 121980, 806, 5232, 64209, 30590, 57980, 30813, 5486, 102395, 109431, 34171, 5486, 102395, 109431, 20230, 103188, 48154, 17663, 113009, 64531, 104874, 103646, 117501, 9174, 121980, 717, 5232, 1170, 40, 5232, 35, 3050, 11, 58588, 612, 763, 9134, 15682, 5486, 43240, 103826, 34171, 5486, 35417, 50211, 34171, 5486, 68379, 99046, 224, 34171, 19732, 117735, 107001, 9174, 13177, 38, 10646, 17663, 26854, 78183, 43514, 13177, 102472, 66953, 96452, 107446, 10646, 109853, 15682, 5486, 106613, 112167, 116043, 23039, 9458, 17044, 121, 44416, 16144, 114181, 28542, 113245, 13177, 47260, 25005, 251, 44971, 84477, 102472, 66953, 96452, 107446, 116326, 107734, 102351, 78943, 100845, 105, 114305, 30512, 96412, 104004, 65459, 123532, 101275, 102351, 16144, 106045, 104063, 16144, 114181, 28542, 113245, 13177, 47260, 108969, 102803, 39880, 107446, 116326, 124884, 113529, 103181, 82533, 30512, 96412, 104004, 65459, 106613, 112167, 40452, 17905, 16144, 106045, 104063, 107173, 78244, 105262, 13177, 112997, 29220, 120456, 102750, 76428, 73590, 66383, 54926, 1811, 47260, 25005, 251, 44971, 84477, 102472, 66953, 96452, 107446, 109853, 15682, 106613, 112167, 10110, 18655, 126233, 107734, 38093, 5486, 116043, 23039, 124180, 7705, 29295, 37689, 109375, 17663, 125231, 111681, 104482, 103195, 15120, 24273, 5486, 123532, 101275, 102351, 29295, 107430, 75267, 16556, 122502, 47884, 17905, 113245, 106045, 104063, 5486, 80539, 122502, 102334, 113702, 103306, 16144, 112997, 29220, 40452, 30512, 96412, 104004, 106613, 112167, 40452, 109853, 32977, 13177, 38, 10646, 107809, 20230, 82912, 109669, 105784, 118733, 5486, 123532, 101275, 102351, 125030, 114598, 13177, 38, 10646, 15682, 104195, 47884, 37689, 109375, 17663, 125231, 111681, 104482, 117282, 9174, 126738, 5486, 101513, 97518, 126330, 46729, 107809, 102052, 123085, 16144, 114435, 15682, 13177, 102321, 75267, 10646, 15682, 104195, 16995, 29295, 36896, 47260, 25005, 251, 44971, 84477, 34048, 103722, 10646, 29295, 112294, 120195, 30369, 102677, 37689, 91774, 32977, 101182, 1811, 114435, 16144, 106613, 112167, 75146, 114457, 103195, 102472, 66953, 96452, 107446, 30512, 46456, 105262, 47260, 25005, 251, 44971, 84477, 34048, 103722, 15682, 5486, 104662, 39926, 110904, 109020, 47260, 71634, 34048, 103722, 126194, 5486, 110226, 105576, 16144, 44971, 66953, 44971, 26269, 76428, 30512, 118396, 15024, 5486, 60868, 106826, 96452, 91482, 37823, 103906, 16144, 103350, 102321, 20230, 80631, 95, 112500, 108608, 107693, 26854, 34048, 103722, 103195, 109335, 30591, 33503, 103846, 38144, 104195, 104873, 39926, 33334, 105898, 16995, 9174, 110229, 16556, 60358, 8107, 5486, 114435, 16144, 101544, 23538, 9554, 95001, 112603, 109832, 67178, 10110, 28504, 11539, 5232, 6720, 17978, 5273, 35386, 7705, 30512, 19012, 110, 102639, 30369, 106613, 112167, 16144, 109215, 34171, 29295, 110125, 58942, 125398, 16325, 5486, 62903, 25005, 107, 65575, 103306, 108285, 17129, 121118, 112690, 20230, 13177, 75133, 10110, 80805, 113390, 22398, 7705, 10646, 107407, 10110, 121980, 1032, 75376, 80805, 113390, 22398, 109853, 15682, 103856, 47884, 32977, 3753, 22, 116033, 47, 5, 38, 29295, 36896, 37026, 61337, 105107, 25446, 20230, 111575, 16144, 29220, 118028, 103906, 11972, 19732, 95001, 112603, 30512, 58318, 58942, 5486, 102616, 16325, 16144, 14167, 100, 65854, 16144, 78683, 106240, 30512, 112624, 28713, 17663, 100909, 66383, 20379, 126020, 5486, 80805, 113390, 22398, 106613, 112167, 16144, 106691, 35083, 107173, 78244, 105262, 1844, 458, 424, 15682, 5486, 679, 17, 116358, 81596, 8423, 126250, 93056, 8140, 30145, 25, 2057, 7557, 61593, 19048, 7874, 2050, 863, 19732, 125053, 103792, 9174, 121980, 1032, 5232, 31809, 102212, 123575, 109395, 58666, 9458, 126331, 31106, 120, 74245, 55030, 13177, 1600, 38, 87447, 20379, 55031, 64121, 30369, 105156, 40862, 120270, 102181, 16144, 57903, 24273, 10646, 124620, 110322, 106306, 39880, 96452, 124766, 106901, 109793, 33710, 36761, 2366, 16, 8107, 806, 9953, 18476, 5486, 79, 13, 966, 30512, 126229, 103646, 16995, 9174, 58426, 105933, 11881, 242, 55031, 101182, 95001, 112603, 114181, 29295, 60358, 8107, 88356, 107624, 95001, 116216, 105898, 124858, 102052, 5486, 66378, 20230, 73361, 29504, 16556, 13177, 101198, 44971, 78683, 107908, 101083, 31640, 116326, 121980, 975, 7705, 19732, 127173, 104028, 5486, 105268, 16995, 101083, 31640, 16144, 95001, 112603, 114181, 20230, 40862, 100472, 55031, 107173, 117952, 115032, 10110, 121980, 868, 75376, 122270, 5486, 679, 23, 8107, 5486, 102616, 112366, 104297, 16144, 103768, 11883, 108695, 14755, 36152, 16144, 32131, 102540, 9458, 106384, 116099, 79596, 29295, 5486, 121410, 8107, 118850, 27452, 16144, 18655, 73686, 61826, 114435, 79596, 8676, 249, 38144, 102181, 112825, 16556, 5486, 114435, 16144, 80805, 113390, 22398, 15682, 36896, 60632, 105576, 30512, 104067, 13153, 54926, 113009, 109215, 26854, 76706, 48634, 116787, 5486, 126330, 122692, 122225, 75146, 107253, 16144, 16, 59739, 108176, 108995, 66383, 61304, 56051, 115789, 119448, 16995, 108995, 9174, 121980, 975, 5232, 1049, 15, 112425, 20230, 118104, 101182, 16995, 15682, 106222, 17792, 108176, 101083, 31640, 9174, 121980, 868, 5232, 21124, 10110, 102321, 61337, 13372, 5232, 12452, 7705, 119046, 109832, 101275, 112919, 68759, 105048, 9458, 103988, 26269, 71493, 112164, 38248, 108, 15682, 5486, 679, 22, 116358, 103760, 101467, 102040, 112164, 65575, 102667, 16144, 124305, 101275, 29430, 16556, 23039, 100472, 102446, 108323, 16556, 36896, 101198, 44971, 78683, 107908, 101083, 31640, 125030, 76947, 80805, 113390, 22398, 114792, 59739, 109335, 40265, 115926, 25580, 116787, 5486, 112832, 32977, 29295, 80805, 113390, 22398, 114792, 125655, 102616, 30512, 109832, 30369, 105908, 107693, 66383, 43032, 103854, 100934, 9174, 110229, 29295, 5486, 27929, 32977, 27929, 32977, 102433, 114435, 102052, 108895, 56051, 22649, 104611, 39276, 16144, 112690, 29295, 36117, 95, 115032, 1811, 80805, 113390, 22398, 116749, 105352, 5486, 114435, 22649, 104611, 5486, 106613, 112167, 22649, 104611, 5486, 101198, 26269, 104272, 5486, 91482, 113909, 16073, 5486, 66953, 37823, 109496, 5486, 57326, 107805, 57207, 57326, 33710, 5486, 100990, 109, 108761, 5486, 10110, 61337, 13372, 7705, 111234, 25197, 5486, 123120, 64467, 13393, 251, 5486, 50667, 104680, 1811, 108895, 56051, 102433, 114435, 16144, 114172, 102512, 107809, 16556, 107517, 125167, 22649, 104611, 124957, 20230, 121453, 28713, 20230, 80805, 113390, 22398, 102677, 112690, 29295, 125559, 55031, 115201, 17701, 116216, 105898, 102677, 91774, 24273, 32977, 103082, 5486, 106826, 105048, 103927, 33710, 126567, 55031, 91774, 104533, 114435, 22649, 104611, 19732, 107960, 42016, 39926, 114732, 126465, 32977, 83747, 123733, 32149, 103950, 1811, 57980, 76947, 5486, 37026, 61337, 16144, 22649, 104611, 124957, 107809, 16556, 104405, 64531, 22649, 39926, 5486, 114435, 16144, 32943, 48915, 16144, 106826, 105048, 103927, 33710, 126567, 5486, 66378, 20230, 123532, 101275, 102351, 20230, 104405, 113954, 120837, 33503, 30297, 32149, 5486, 37026, 61337, 20230, 108167, 17701, 104028, 110018, 102052, 23187, 104577, 30512, 31958, 105184, 33208, 39926, 33334, 47884, 105908, 107693, 103195, 118844, 120577, 11883, 102158, 16144, 64531, 22649, 112028, 27452, 103306, 111629, 21405, 18, 12, 16, 30512, 126362, 54926, 10110, 121980, 845, 123505, 121980, 845, 5232, 31809, 102212, 123575, 9458, 126331, 31106, 120, 5486, 25580, 19012, 110, 102181, 5486, 79, 13, 2148, 9174, 43514, 26854, 64121, 20230, 80805, 113390, 22398, 15682, 123085, 114435, 16144, 22649, 104611, 124957, 77181, 13177, 48706, 37689, 104577, 66383, 117735, 107001, 105908, 127181, 29295, 5486, 115552, 40862, 16995, 103306, 103984, 28542, 9458, 80195, 75267, 55031, 91774, 28713, 41920, 28190, 34171, 107407, 106046, 126832, 109900, 15682, 5486, 61337, 32943, 125030, 76947, 16144, 13177, 113173, 66383, 5486, 61337, 48915, 16144, 106826, 105048, 103927, 33710, 126567, 55031, 91774, 28713, 110018, 16144, 13177, 48706, 37689, 104577, 10646, 103195, 1811, 43514, 26854, 64121, 20230, 108152, 78683, 37823, 112164, 9458, 106901, 124535, 15682, 80805, 113390, 22398, 30512, 13177, 113173, 9458, 48706, 37689, 104577, 116326, 121980, 1114, 7705, 19732, 117735, 103792, 9174, 30813, 38144, 5486, 1600, 38, 87447, 20379, 114556, 78183, 30369, 103350, 102781, 126913, 30046, 125030, 76947, 5486, 107960, 108267, 71289, 110482, 115461, 126636, 112495, 31634, 63212, 104856, 103836, 104468, 5486, 469, 7939, 96555, 66776, 112686, 102781, 108134, 123863, 87447, 20379, 75146, 107253, 71289, 123646, 103202, 102756, 105048, 5486, 80539, 107624, 95001, 16144, 108267, 80195, 103195, 109335, 78244, 30512, 11743, 253, 28713, 100604, 1811, 1600, 38, 108134, 15682, 119318, 116310, 29295, 108285, 47884, 5486, 126330, 46729, 16144, 103984, 28542, 16144, 43240, 103826, 34171, 32977, 50021, 11743, 253, 76947, 105550, 108327, 34171, 30512, 105318, 84389, 29295, 43514, 116787, 5486, 56051, 29295, 76947, 103350, 102781, 126913, 112919, 105755, 67645, 107404, 15682, 41758, 42634, 112164, 33710, 9458, 102832, 61398, 16144, 87447, 20379, 123646, 103202, 102756, 105048, 104856, 103836, 9174, 51330, 123646, 103202, 102756, 105048, 109853, 15682, 5486, 1600, 38, 87447, 20379, 75146, 107253, 19967, 13153, 36668, 33014, 16144, 108267, 80195, 29295, 109606, 104856, 106358, 29295, 5486, 118899, 117084, 5486, 40, 52940, 19732, 50, 1950, 33, 10110, 121980, 972, 120732, 105156, 15120, 20230, 27704, 109709, 115847, 33503, 36668, 33014, 16144, 110226, 7741, 224, 9458, 43167, 103664, 16144, 91875, 50834, 29295, 76706, 102404, 104856, 121118, 1811, 33671, 20230, 5486, 42016, 103826, 20230, 108267, 80195, 95221, 103868, 103195, 1600, 38, 107624, 95001, 101513, 97518, 16144, 56965, 113245, 107624, 95001, 100818, 116, 19732, 113702, 16144, 81219, 33503, 59739, 50834, 32977, 27384, 112495, 111681, 104482, 19732, 78244, 58942, 101200, 123601, 14558, 109853, 15682, 5486, 38, 1932, 37, 10110, 8107, 35330, 108882, 80195, 35330, 40452, 103768, 11883, 118326, 107338, 122491, 7705, 29295, 679, 22, 8107, 5486, 117409, 108156, 29430, 30512, 103359, 47523, 114267, 1600, 38, 127268, 30512, 102647, 23187, 56051, 104983, 16144, 57326, 108744, 37823, 37823, 61398, 16556, 5486, 1600, 38, 107624, 95001, 101513, 97518, 16144, 56965, 16556, 107624, 95001, 75146, 107253, 20230, 27384, 112495, 81219, 33503, 59739, 50834, 107407, 106592, 64467, 112419, 126020, 5486, 121410, 116358, 23187, 28542, 114181, 108867, 72661, 127749, 15682, 30591, 109709, 124500, 107462, 100604, 10110, 121980, 777, 123505, 126738, 36896, 60868, 106826, 96452, 91482, 37823, 103906, 66383, 95604, 112690, 15682, 13177, 1600, 38, 10646, 105755, 25580, 5486, 3753, 15, 112425, 105755, 110125, 58942, 102204, 101732, 29295, 5486, 118899, 117084, 88356, 102802, 110305, 106240, 122060, 116216, 105898, 1811, 60868, 106826, 96452, 91482, 37823, 103906, 5486, 17663, 26854, 78183, 43514, 16325, 101544, 23538, 109904, 82973, 100818, 116, 113245, 13177, 69978, 106307, 125396, 10646, 109853, 15682, 5486, 114435, 30512, 108167, 112959, 47884, 48915, 34048, 117501, 10110, 127960, 117501, 5486, 106613, 111587, 117501, 104309, 120732, 69978, 106307, 34171, 19732, 5486, 114435, 37026, 33014, 16144, 69978, 106307, 34171, 16144, 17, 118821, 114181, 28542, 107407, 106046, 126832, 1811, 25580, 30046, 109853, 15682, 7905, 14938, 10110, 121980, 508, 7705, 123160, 123646, 103202, 102756, 105048, 112212, 117501, 111363, 108167, 103214, 64121, 30512, 114435, 29295, 87447, 20379, 54926, 101200, 117084, 105898, 1811, 74482, 30046, 109853, 15682, 5486, 114435, 29295, 13177, 24615, 120, 104699, 48634, 118587, 19361, 54926, 91482, 76428, 102750, 22398, 123604, 30512, 91875, 32149, 39926, 5486, 107391, 116219, 52591, 117243, 30512, 109832, 121216, 106307, 124324, 19732, 104067, 13153, 15682, 110482, 111108, 116787, 106116, 106548, 103214, 64121, 109853, 114435, 15682, 122984, 30512, 32018, 62004, 110071, 109807, 122984, 77181, 5486, 1600, 38, 96555, 66776, 112686, 102781, 108134, 108911, 120953, 95604, 82973, 100818, 116, 124001, 107420, 64810, 22398, 16556, 47000, 21601, 95001, 112603, 30512, 21990, 64121, 5486, 112686, 102781, 9039, 112603, 10110, 112686, 102781, 108134, 7705, 20230, 108436, 33208, 54926, 32149, 29295, 107693, 117084, 109749, 113637, 112686, 102781, 108134, 111363, 108436, 33208, 16144, 14558, 15682, 5486, 123532, 101275, 102351, 16144, 105994, 30926, 103306, 16144, 1600, 38, 111363, 108446, 50928, 99750, 19732, 102987, 47884, 97518, 78183, 30369, 109606, 116787, 5486, 33671, 107792, 121960, 108167, 109415, 106956, 9174, 567, 469, 7939, 31634, 72238, 30512, 95001, 112603, 109832, 67178, 71634, 111672, 11972, 20230, 111887, 31431, 104526, 104004, 103846, 102052, 198, 105156, 40862, 120270, 102181, 10110, 121980, 1691, 7705, 71289, 60868, 106826, 96452, 91482, 37823, 103906, 9458, 44971, 121057, 30512, 76706, 11883, 56051, 5486, 114435, 19732, 126330, 46729, 110792, 123079, 109904, 103359, 87177, 121960, 5486, 114652, 126330, 46729, 55031, 64467, 112419, 107001, 112973, 13177, 1600, 38, 31634, 72238, 29295, 104405, 114435, 16144, 95001, 112603, 109832, 67178, 71634, 111672, 11972, 10110, 121980, 1313, 7705, 20230, 111887, 31431, 104526, 17129, 115032, 104865, 78183, 124403, 66383, 32149, 36896, 66776, 112686, 102781, 108134, 29295, 112686, 102781, 108134, 107294, 105722, 30369, 45893, 119049, 29295, 98499, 64121, 18655, 110615, 10646, 123160, 37689, 91774, 103195, 113637, 28542, 109853, 15682, 5486, 114435, 87447, 20379, 101182, 16995, 15682, 1600, 38, 116690, 16144, 121606, 5486, 114363, 103722, 46729 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 19732, 61337, 48915, 110176, 24273, 114556, 78183, 30369, 111681, 104482, 103195, 1811, 118789, 9554, 102052, 5486, 123532, 101275, 102351, 71289, 60868, 57326, 102803, 116696, 107060, 16144, 5486, 17792, 112607, 5486, 8239, 112, 122502, 117501, 5486, 122502, 50834, 125001, 115132, 39850, 78683, 103906, 10110, 121980, 806, 65459, 25132, 229, 11883, 77195, 5486, 113614, 5486, 105509, 5486, 1170, 40, 10110, 124807, 66953, 38248, 115, 103906, 5486, 76739, 29220, 25197, 103906, 120740, 76171, 29220, 33710, 78767, 78205, 16073, 116729, 121980, 717, 65459, 80539, 47000, 21601, 95001, 112603, 16144, 101182, 39880, 125916, 57326, 67075, 10110, 47043, 9458, 125175, 120732, 104908, 5486, 108446, 85188, 5486, 106222, 80631, 95, 112500, 104309, 55031, 13153, 30369, 13177, 106222, 111363, 95001, 112603, 104908, 66383, 54926, 1811, 28713, 19732, 116285, 5486, 122502, 50834, 125001, 104309, 15682, 123532, 101275, 102351, 125030, 76947, 108446, 50928, 15024, 126172, 16995, 29295, 5486, 23187, 33857, 33208, 111848, 31540, 103984, 33208, 29295, 111108, 106624, 5486, 114435, 125030, 76947, 103130, 15017, 245, 40452, 54926, 112973, 110482, 111108, 26854, 111681, 104482, 32977, 127181, 9174, 121980, 806, 5232, 64209, 30590, 57980, 30813, 5486, 102395, 109431, 34171, 5486, 102395, 109431, 20230, 103188, 48154, 17663, 113009, 64531, 104874, 103646, 117501, 9174, 121980, 717, 5232, 1170, 40, 5232, 35, 3050, 11, 58588, 612, 763, 9134, 15682, 5486, 43240, 103826, 34171, 5486, 35417, 50211, 34171, 5486, 68379, 99046, 224, 34171, 19732, 117735, 107001, 9174, 13177, 38, 10646, 17663, 26854, 78183, 43514, 13177, 102472, 66953, 96452, 107446, 10646, 109853, 15682, 5486, 106613, 112167, 116043, 23039, 9458, 17044, 121, 44416, 16144, 114181, 28542, 113245, 13177, 47260, 25005, 251, 44971, 84477, 102472, 66953, 96452, 107446, 116326, 107734, 102351, 78943, 100845, 105, 114305, 30512, 96412, 104004, 65459, 123532, 101275, 102351, 16144, 106045, 104063, 16144, 114181, 28542, 113245, 13177, 47260, 108969, 102803, 39880, 107446, 116326, 124884, 113529, 103181, 82533, 30512, 96412, 104004, 65459, 106613, 112167, 40452, 17905, 16144, 106045, 104063, 107173, 78244, 105262, 13177, 112997, 29220, 120456, 102750, 76428, 73590, 66383, 54926, 1811, 47260, 25005, 251, 44971, 84477, 102472, 66953, 96452, 107446, 109853, 15682, 106613, 112167, 10110, 18655, 126233, 107734, 38093, 5486, 116043, 23039, 124180, 7705, 29295, 37689, 109375, 17663, 125231, 111681, 104482, 103195, 15120, 24273, 5486, 123532, 101275, 102351, 29295, 107430, 75267, 16556, 122502, 47884, 17905, 113245, 106045, 104063, 5486, 80539, 122502, 102334, 113702, 103306, 16144, 112997, 29220, 40452, 30512, 96412, 104004, 106613, 112167, 40452, 109853, 32977, 13177, 38, 10646, 107809, 20230, 82912, 109669, 105784, 118733, 5486, 123532, 101275, 102351, 125030, 114598, 13177, 38, 10646, 15682, 104195, 47884, 37689, 109375, 17663, 125231, 111681, 104482, 117282, 9174, 126738, 5486, 101513, 97518, 126330, 46729, 107809, 102052, 123085, 16144, 114435, 15682, 13177, 102321, 75267, 10646, 15682, 104195, 16995, 29295, 36896, 47260, 25005, 251, 44971, 84477, 34048, 103722, 10646, 29295, 112294, 120195, 30369, 102677, 37689, 91774, 32977, 101182, 1811, 114435, 16144, 106613, 112167, 75146, 114457, 103195, 102472, 66953, 96452, 107446, 30512, 46456, 105262, 47260, 25005, 251, 44971, 84477, 34048, 103722, 15682, 5486, 104662, 39926, 110904, 109020, 47260, 71634, 34048, 103722, 126194, 5486, 110226, 105576, 16144, 44971, 66953, 44971, 26269, 76428, 30512, 118396, 15024, 5486, 60868, 106826, 96452, 91482, 37823, 103906, 16144, 103350, 102321, 20230, 80631, 95, 112500, 108608, 107693, 26854, 34048, 103722, 103195, 109335, 30591, 33503, 103846, 38144, 104195, 104873, 39926, 33334, 105898, 16995, 9174, 110229, 16556, 60358, 8107, 5486, 114435, 16144, 101544, 23538, 9554, 95001, 112603, 109832, 67178, 10110, 28504, 11539, 5232, 6720, 17978, 5273, 35386, 7705, 30512, 19012, 110, 102639, 30369, 106613, 112167, 16144, 109215, 34171, 29295, 110125, 58942, 125398, 16325, 5486, 62903, 25005, 107, 65575, 103306, 108285, 17129, 121118, 112690, 20230, 13177, 75133, 10110, 80805, 113390, 22398, 7705, 10646, 107407, 10110, 121980, 1032, 75376, 80805, 113390, 22398, 109853, 15682, 103856, 47884, 32977, 3753, 22, 116033, 47, 5, 38, 29295, 36896, 37026, 61337, 105107, 25446, 20230, 111575, 16144, 29220, 118028, 103906, 11972, 19732, 95001, 112603, 30512, 58318, 58942, 5486, 102616, 16325, 16144, 14167, 100, 65854, 16144, 78683, 106240, 30512, 112624, 28713, 17663, 100909, 66383, 20379, 126020, 5486, 80805, 113390, 22398, 106613, 112167, 16144, 106691, 35083, 107173, 78244, 105262, 1844, 458, 424, 15682, 5486, 679, 17, 116358, 81596, 8423, 126250, 93056, 8140, 30145, 25, 2057, 7557, 61593, 19048, 7874, 2050, 863, 19732, 125053, 103792, 9174, 121980, 1032, 5232, 31809, 102212, 123575, 109395, 58666, 9458, 126331, 31106, 120, 74245, 55030, 13177, 1600, 38, 87447, 20379, 55031, 64121, 30369, 105156, 40862, 120270, 102181, 16144, 57903, 24273, 10646, 124620, 110322, 106306, 39880, 96452, 124766, 106901, 109793, 33710, 36761, 2366, 16, 8107, 806, 9953, 18476, 5486, 79, 13, 966, 30512, 126229, 103646, 16995, 9174, 58426, 105933, 11881, 242, 55031, 101182, 95001, 112603, 114181, 29295, 60358, 8107, 88356, 107624, 95001, 116216, 105898, 124858, 102052, 5486, 66378, 20230, 73361, 29504, 16556, 13177, 101198, 44971, 78683, 107908, 101083, 31640, 116326, 121980, 975, 7705, 19732, 127173, 104028, 5486, 105268, 16995, 101083, 31640, 16144, 95001, 112603, 114181, 20230, 40862, 100472, 55031, 107173, 117952, 115032, 10110, 121980, 868, 75376, 122270, 5486, 679, 23, 8107, 5486, 102616, 112366, 104297, 16144, 103768, 11883, 108695, 14755, 36152, 16144, 32131, 102540, 9458, 106384, 116099, 79596, 29295, 5486, 121410, 8107, 118850, 27452, 16144, 18655, 73686, 61826, 114435, 79596, 8676, 249, 38144, 102181, 112825, 16556, 5486, 114435, 16144, 80805, 113390, 22398, 15682, 36896, 60632, 105576, 30512, 104067, 13153, 54926, 113009, 109215, 26854, 76706, 48634, 116787, 5486, 126330, 122692, 122225, 75146, 107253, 16144, 16, 59739, 108176, 108995, 66383, 61304, 56051, 115789, 119448, 16995, 108995, 9174, 121980, 975, 5232, 1049, 15, 112425, 20230, 118104, 101182, 16995, 15682, 106222, 17792, 108176, 101083, 31640, 9174, 121980, 868, 5232, 21124, 10110, 102321, 61337, 13372, 5232, 12452, 7705, 119046, 109832, 101275, 112919, 68759, 105048, 9458, 103988, 26269, 71493, 112164, 38248, 108, 15682, 5486, 679, 22, 116358, 103760, 101467, 102040, 112164, 65575, 102667, 16144, 124305, 101275, 29430, 16556, 23039, 100472, 102446, 108323, 16556, 36896, 101198, 44971, 78683, 107908, 101083, 31640, 125030, 76947, 80805, 113390, 22398, 114792, 59739, 109335, 40265, 115926, 25580, 116787, 5486, 112832, 32977, 29295, 80805, 113390, 22398, 114792, 125655, 102616, 30512, 109832, 30369, 105908, 107693, 66383, 43032, 103854, 100934, 9174, 110229, 29295, 5486, 27929, 32977, 27929, 32977, 102433, 114435, 102052, 108895, 56051, 22649, 104611, 39276, 16144, 112690, 29295, 36117, 95, 115032, 1811, 80805, 113390, 22398, 116749, 105352, 5486, 114435, 22649, 104611, 5486, 106613, 112167, 22649, 104611, 5486, 101198, 26269, 104272, 5486, 91482, 113909, 16073, 5486, 66953, 37823, 109496, 5486, 57326, 107805, 57207, 57326, 33710, 5486, 100990, 109, 108761, 5486, 10110, 61337, 13372, 7705, 111234, 25197, 5486, 123120, 64467, 13393, 251, 5486, 50667, 104680, 1811, 108895, 56051, 102433, 114435, 16144, 114172, 102512, 107809, 16556, 107517, 125167, 22649, 104611, 124957, 20230, 121453, 28713, 20230, 80805, 113390, 22398, 102677, 112690, 29295, 125559, 55031, 115201, 17701, 116216, 105898, 102677, 91774, 24273, 32977, 103082, 5486, 106826, 105048, 103927, 33710, 126567, 55031, 91774, 104533, 114435, 22649, 104611, 19732, 107960, 42016, 39926, 114732, 126465, 32977, 83747, 123733, 32149, 103950, 1811, 57980, 76947, 5486, 37026, 61337, 16144, 22649, 104611, 124957, 107809, 16556, 104405, 64531, 22649, 39926, 5486, 114435, 16144, 32943, 48915, 16144, 106826, 105048, 103927, 33710, 126567, 5486, 66378, 20230, 123532, 101275, 102351, 20230, 104405, 113954, 120837, 33503, 30297, 32149, 5486, 37026, 61337, 20230, 108167, 17701, 104028, 110018, 102052, 23187, 104577, 30512, 31958, 105184, 33208, 39926, 33334, 47884, 105908, 107693, 103195, 118844, 120577, 11883, 102158, 16144, 64531, 22649, 112028, 27452, 103306, 111629, 21405, 18, 12, 16, 30512, 126362, 54926, 10110, 121980, 845, 123505, 121980, 845, 5232, 31809, 102212, 123575, 9458, 126331, 31106, 120, 5486, 25580, 19012, 110, 102181, 5486, 79, 13, 2148, 9174, 43514, 26854, 64121, 20230, 80805, 113390, 22398, 15682, 123085, 114435, 16144, 22649, 104611, 124957, 77181, 13177, 48706, 37689, 104577, 66383, 117735, 107001, 105908, 127181, 29295, 5486, 115552, 40862, 16995, 103306, 103984, 28542, 9458, 80195, 75267, 55031, 91774, 28713, 41920, 28190, 34171, 107407, 106046, 126832, 109900, 15682, 5486, 61337, 32943, 125030, 76947, 16144, 13177, 113173, 66383, 5486, 61337, 48915, 16144, 106826, 105048, 103927, 33710, 126567, 55031, 91774, 28713, 110018, 16144, 13177, 48706, 37689, 104577, 10646, 103195, 1811, 43514, 26854, 64121, 20230, 108152, 78683, 37823, 112164, 9458, 106901, 124535, 15682, 80805, 113390, 22398, 30512, 13177, 113173, 9458, 48706, 37689, 104577, 116326, 121980, 1114, 7705, 19732, 117735, 103792, 9174, 30813, 38144, 5486, 1600, 38, 87447, 20379, 114556, 78183, 30369, 103350, 102781, 126913, 30046, 125030, 76947, 5486, 107960, 108267, 71289, 110482, 115461, 126636, 112495, 31634, 63212, 104856, 103836, 104468, 5486, 469, 7939, 96555, 66776, 112686, 102781, 108134, 123863, 87447, 20379, 75146, 107253, 71289, 123646, 103202, 102756, 105048, 5486, 80539, 107624, 95001, 16144, 108267, 80195, 103195, 109335, 78244, 30512, 11743, 253, 28713, 100604, 1811, 1600, 38, 108134, 15682, 119318, 116310, 29295, 108285, 47884, 5486, 126330, 46729, 16144, 103984, 28542, 16144, 43240, 103826, 34171, 32977, 50021, 11743, 253, 76947, 105550, 108327, 34171, 30512, 105318, 84389, 29295, 43514, 116787, 5486, 56051, 29295, 76947, 103350, 102781, 126913, 112919, 105755, 67645, 107404, 15682, 41758, 42634, 112164, 33710, 9458, 102832, 61398, 16144, 87447, 20379, 123646, 103202, 102756, 105048, 104856, 103836, 9174, 51330, 123646, 103202, 102756, 105048, 109853, 15682, 5486, 1600, 38, 87447, 20379, 75146, 107253, 19967, 13153, 36668, 33014, 16144, 108267, 80195, 29295, 109606, 104856, 106358, 29295, 5486, 118899, 117084, 5486, 40, 52940, 19732, 50, 1950, 33, 10110, 121980, 972, 120732, 105156, 15120, 20230, 27704, 109709, 115847, 33503, 36668, 33014, 16144, 110226, 7741, 224, 9458, 43167, 103664, 16144, 91875, 50834, 29295, 76706, 102404, 104856, 121118, 1811, 33671, 20230, 5486, 42016, 103826, 20230, 108267, 80195, 95221, 103868, 103195, 1600, 38, 107624, 95001, 101513, 97518, 16144, 56965, 113245, 107624, 95001, 100818, 116, 19732, 113702, 16144, 81219, 33503, 59739, 50834, 32977, 27384, 112495, 111681, 104482, 19732, 78244, 58942, 101200, 123601, 14558, 109853, 15682, 5486, 38, 1932, 37, 10110, 8107, 35330, 108882, 80195, 35330, 40452, 103768, 11883, 118326, 107338, 122491, 7705, 29295, 679, 22, 8107, 5486, 117409, 108156, 29430, 30512, 103359, 47523, 114267, 1600, 38, 127268, 30512, 102647, 23187, 56051, 104983, 16144, 57326, 108744, 37823, 37823, 61398, 16556, 5486, 1600, 38, 107624, 95001, 101513, 97518, 16144, 56965, 16556, 107624, 95001, 75146, 107253, 20230, 27384, 112495, 81219, 33503, 59739, 50834, 107407, 106592, 64467, 112419, 126020, 5486, 121410, 116358, 23187, 28542, 114181, 108867, 72661, 127749, 15682, 30591, 109709, 124500, 107462, 100604, 10110, 121980, 777, 123505, 126738, 36896, 60868, 106826, 96452, 91482, 37823, 103906, 66383, 95604, 112690, 15682, 13177, 1600, 38, 10646, 105755, 25580, 5486, 3753, 15, 112425, 105755, 110125, 58942, 102204, 101732, 29295, 5486, 118899, 117084, 88356, 102802, 110305, 106240, 122060, 116216, 105898, 1811, 60868, 106826, 96452, 91482, 37823, 103906, 5486, 17663, 26854, 78183, 43514, 16325, 101544, 23538, 109904, 82973, 100818, 116, 113245, 13177, 69978, 106307, 125396, 10646, 109853, 15682, 5486, 114435, 30512, 108167, 112959, 47884, 48915, 34048, 117501, 10110, 127960, 117501, 5486, 106613, 111587, 117501, 104309, 120732, 69978, 106307, 34171, 19732, 5486, 114435, 37026, 33014, 16144, 69978, 106307, 34171, 16144, 17, 118821, 114181, 28542, 107407, 106046, 126832, 1811, 25580, 30046, 109853, 15682, 7905, 14938, 10110, 121980, 508, 7705, 123160, 123646, 103202, 102756, 105048, 112212, 117501, 111363, 108167, 103214, 64121, 30512, 114435, 29295, 87447, 20379, 54926, 101200, 117084, 105898, 1811, 74482, 30046, 109853, 15682, 5486, 114435, 29295, 13177, 24615, 120, 104699, 48634, 118587, 19361, 54926, 91482, 76428, 102750, 22398, 123604, 30512, 91875, 32149, 39926, 5486, 107391, 116219, 52591, 117243, 30512, 109832, 121216, 106307, 124324, 19732, 104067, 13153, 15682, 110482, 111108, 116787, 106116, 106548, 103214, 64121, 109853, 114435, 15682, 122984, 30512, 32018, 62004, 110071, 109807, 122984, 77181, 5486, 1600, 38, 96555, 66776, 112686, 102781, 108134, 108911, 120953, 95604, 82973, 100818, 116, 124001, 107420, 64810, 22398, 16556, 47000, 21601, 95001, 112603, 30512, 21990, 64121, 5486, 112686, 102781, 9039, 112603, 10110, 112686, 102781, 108134, 7705, 20230, 108436, 33208, 54926, 32149, 29295, 107693, 117084, 109749, 113637, 112686, 102781, 108134, 111363, 108436, 33208, 16144, 14558, 15682, 5486, 123532, 101275, 102351, 16144, 105994, 30926, 103306, 16144, 1600, 38, 111363, 108446, 50928, 99750, 19732, 102987, 47884, 97518, 78183, 30369, 109606, 116787, 5486, 33671, 107792, 121960, 108167, 109415, 106956, 9174, 567, 469, 7939, 31634, 72238, 30512, 95001, 112603, 109832, 67178, 71634, 111672, 11972, 20230, 111887, 31431, 104526, 104004, 103846, 102052, 198, 105156, 40862, 120270, 102181, 10110, 121980, 1691, 7705, 71289, 60868, 106826, 96452, 91482, 37823, 103906, 9458, 44971, 121057, 30512, 76706, 11883, 56051, 5486, 114435, 19732, 126330, 46729, 110792, 123079, 109904, 103359, 87177, 121960, 5486, 114652, 126330, 46729, 55031, 64467, 112419, 107001, 112973, 13177, 1600, 38, 31634, 72238, 29295, 104405, 114435, 16144, 95001, 112603, 109832, 67178, 71634, 111672, 11972, 10110, 121980, 1313, 7705, 20230, 111887, 31431, 104526, 17129, 115032, 104865, 78183, 124403, 66383, 32149, 36896, 66776, 112686, 102781, 108134, 29295, 112686, 102781, 108134, 107294, 105722, 30369, 45893, 119049, 29295, 98499, 64121, 18655, 110615, 10646, 123160, 37689, 91774, 103195, 113637, 28542, 109853, 15682, 5486, 114435, 87447, 20379, 101182, 16995, 15682, 1600, 38, 116690, 16144, 121606, 5486, 114363, 103722, 46729 ]
[ 71289, 48864, 109375, 30046, 112212, 5486, 43240, 119064, 102473, 112415, 71289, 87447, 20379, 103350, 124299, 16144, 108167, 103214, 64121, 29295, 23039, 78183, 115032, 9174, 121980, 1691, 5232, 126331, 31106, 120, 74245, 55030, 9458, 113569, 101129, 8676, 108, 10110, 679, 24, 7705, 44620, 105156, 40862, 120270, 16556, 108044, 105262, 95001, 112603, 109832, 67178, 71634, 111672, 11972, 36761, 33122, 30926, 25333, 102781, 5486, 79, 13, 17, 103732, 104984, 36896, 105156, 40862, 120270, 15682, 5486, 112686, 102781, 108134, 19732, 66776, 112686, 102781, 108134, 30512, 105156, 40862, 15024, 5486, 53900, 121606, 16144, 102669, 105838, 19732, 91482, 76428, 102750, 22398, 123604, 5486, 102472, 66953, 96452, 107446, 5486, 45163, 37507, 16144, 91774, 33035, 15024, 19732, 30512, 105156, 40862, 54926, 100909, 112212, 5486, 121606, 16144, 106649, 121270, 5486, 101544, 23538, 16144, 95001, 112603, 109832, 67178, 30512, 108044, 105262, 120270, 115707, 103195, 10646, 9174, 121980, 1313, 5232, 95001, 112603, 109832, 67178, 71634, 111672, 11972, 107118, 5486, 114435, 9458, 121606, 33014, 29295, 91482, 76428, 102750, 22398, 102494, 68408, 114615, 103350, 23039, 19732, 13153, 28873, 16144, 106518, 20834, 10110, 39880, 125916, 57326, 67075, 7705, 30512, 33035, 100204, 38144, 5486, 116907, 16144, 95001, 112603, 70141, 17905, 19732, 106222, 111363, 95001, 112603, 104908, 10110, 39880, 125916, 71493, 91062, 7705, 117824, 107462, 47884, 89753, 33121, 16144, 77, 1138, 1413, 10110, 53953, 102158, 104873, 7705, 26854, 21405, 102321, 103195, 1811, 50520, 111, 106624, 15682, 95001, 112603, 109832, 67178, 71634, 111672, 11972, 109853, 50520, 111, 43032, 56051, 5486, 126331, 31106, 120, 9458, 113569, 101129, 5486, 25580, 19012, 110, 102181, 5486, 79, 13, 4161, 21909, 30512, 126229, 103646, 16995, 9174, 15120, 27452, 103306, 112160, 106554, 102667, 16144, 103460, 105635, 116891, 15682, 13177, 1308, 36, 106613, 112167, 19732, 1600, 38, 106613, 112167, 30512, 123499, 26854, 44971, 115882, 16556, 105156, 40862, 15024, 5486, 69978, 106307, 109904, 114435, 95001, 112603, 109832, 67178, 30512, 103350, 102321, 108608, 106613, 112167, 102494, 68408, 114615, 106391, 113638, 19732, 103350, 124299, 118587, 30832, 64467, 15024, 36896, 1308, 1600, 38, 12175, 106613, 112167, 116326, 121980, 1419, 7705, 30512, 29172, 110125, 103792, 1811, 103350, 104983, 20230, 31958, 71005, 103927, 64178, 103857, 94550, 22398, 15682, 5486, 2366, 18, 16325, 23538, 106613, 112167, 82420, 55723, 121960, 36896, 31958, 71005, 1308, 1600, 38, 12175, 106613, 112167, 16144, 103350, 124299, 118587, 19012, 110, 102639, 36896, 60632, 105576, 13153, 101544, 19732, 1600, 38, 64467, 105888, 16144, 23226, 106594, 5486, 122270, 31958, 71005, 114420, 60868, 106826, 96452, 91482, 37823, 103906, 16144, 30832, 105888, 104067, 13153, 30512, 115963, 20230, 28873, 28713, 17663, 66383, 21405, 31958, 126020, 5486, 118482, 13153, 101544, 16144, 64467, 105888, 103195, 1308, 36, 16144, 9039, 112603, 20230, 5486, 1600, 38, 16144, 30832, 105888, 104067, 13153, 27479, 30512, 127268, 33208, 56051, 102944, 30512, 13177, 31958, 71005, 1308, 1600, 38, 12175, 10646, 103306, 42, 1932, 10110, 121980, 1187, 7705, 20230, 19012, 110, 102639, 100934, 28542, 29295, 26130, 30832, 107001, 10110, 121980, 914, 123505, 121980, 1419, 5232, 95001, 103460, 105635, 109861, 105330, 10110, 2366, 16, 7705, 44620, 114435, 95001, 112603, 106613, 112167, 36761, 102433, 106613, 111587, 116491, 109898, 5486, 79, 13, 1544, 1811, 126738, 36896, 1308, 1600, 38, 12175, 10646, 15682, 103460, 105635, 116891, 29295, 122401, 56051, 106613, 112167, 64467, 105888, 103195, 9174, 30813, 38144, 123213, 14558, 16144, 111681, 104482, 15682, 5486, 1600, 38, 14, 66776, 112686, 102781, 108134, 55031, 112686, 102781, 108134, 20230, 108436, 33208, 54926, 5486, 117952, 81219, 13177, 24615, 120, 104699, 48634, 117503, 39084, 109026, 19732, 104736, 109375, 107001, 103296, 16144, 107420, 64810, 22398, 103306, 16144, 80805, 22398, 10110, 106613, 47095, 120732, 23187, 104577, 19732, 31540, 103984, 33208, 109853, 36896, 104346, 29295, 114408, 76622, 81219, 44559, 114, 102571, 29295, 101268, 110, 117295, 117503, 30624, 47884, 5486, 97518, 89046, 34171, 71289, 59739, 105722, 31431, 30512, 31958, 20379, 9458, 122984, 54926, 112973, 111108, 102800, 100909, 117083, 1811, 66378, 20230, 36896, 24615, 120, 104699, 48634, 118587, 19361, 54926, 91482, 76428, 102750, 22398, 123604, 16556, 118482, 30512, 112167, 104004, 104983, 20230, 5486, 45163, 37507, 95001, 112603, 30512, 21990, 64121, 121406, 116497, 16144, 1600, 38, 14, 66776, 112686, 102781, 31634, 72238, 30512, 106613, 112167, 103087, 39084, 103306, 80172, 17701, 39926, 55031, 8239, 114503, 102404, 102321, 103296, 16144, 13177, 82973, 100818, 116, 10646, 29295, 1600, 38, 31634, 72238, 113468, 77693, 108422, 33121, 108901, 109020, 5486, 101182, 16995, 15682, 27929, 32977, 27929, 32977, 82973, 100818, 116, 29295, 31958, 105184, 20230, 118765, 100909, 117083, 1811, 122270, 5486, 40265, 109638, 114435, 29295, 103204, 54926, 101275, 98220, 9458, 101275, 104091, 71289, 5486, 118482, 108761, 103438, 16144, 66378, 34171, 113468, 32977, 82973, 100818, 116, 29295, 108010, 30297, 104309, 102159, 103283, 34171, 29295, 104195, 102334, 62004, 5486, 123782, 109904, 42634, 76428, 48552, 9458, 52591, 117243, 30512, 20379, 17663, 104468, 110993, 107436, 110482, 111108, 103195, 10110, 121980, 1627, 123505, 121980, 1627, 5232, 50520, 111, 106624, 15682, 120268, 102212, 123575, 9458, 126331, 31106, 120, 5486, 25580, 19012, 110, 102181, 5486, 604, 13, 1591, 12, 966, 30512, 126229, 9174, 126738, 115515, 17129, 77181, 102924, 112904, 112535, 5486, 1600, 38, 14, 66776, 112686, 102781, 108134, 19732, 61304, 56051, 29295, 5486, 27929, 32977, 27929, 32977, 5486, 1600, 38, 108134, 19732, 66776, 112686, 102781, 108134, 16144, 23187, 104577, 109853, 32977, 37689, 91774, 16144, 121953, 29295, 64121, 110071, 1811, 11144, 1600, 38, 108134, 60094, 240, 66776, 112686, 102781, 108134, 11199, 19732, 110904, 116254, 33208, 54926, 105242, 30046, 32977, 16995, 104984, 5486, 42, 1932, 103306, 31540, 103984, 33208, 108608, 1600, 38, 108134, 29295, 112185, 83747, 103470, 5486, 1600, 38, 9458, 42, 1932, 16144, 117375, 29295, 40265, 109638, 114435, 16144, 101275, 116486, 20230, 108928, 109315, 108385, 58318, 27479, 15682, 39442, 36785, 48249, 118078, 16556, 5486, 101275, 116486, 123863, 122984, 48634, 29295, 31809, 65316, 112973, 102321, 103397, 103195, 106592, 119870, 17129, 107290, 5486, 11144, 1600, 38, 108134, 104971, 66776, 112686, 102781, 108134, 11199, 10110, 121980, 1544, 7705, 102677, 113727, 24273, 32977, 101182, 123601, 77219, 77181, 5486, 66776, 112686, 102781, 108134, 30512, 11144, 1600, 38, 108134, 10110, 105390, 103087, 22656, 104309, 7705, 121409, 102473, 122401, 10110, 49, 33465, 7705, 71289, 53283, 9554, 112686, 106518, 10110, 53283, 9554, 103087, 22656, 7705, 123160, 43568, 83799, 103087, 106518, 121409, 106613, 112167, 48634, 121409, 114950, 11199, 19732, 91774, 110214, 115847, 33503, 29295, 110022, 100204, 38144, 114435, 107809, 101544, 23538, 109904, 13153, 101544, 16144, 39084, 109026, 108176, 5486, 102677, 113727, 20230, 75146, 109669, 50834, 5486, 66776, 112686, 102781, 108134, 30512, 13177, 95001, 112603, 109832, 67178, 71634, 111672, 11972, 10646, 20230, 19361, 101513, 112535, 111887, 31431, 104526, 104004, 105908, 5486, 126330, 46729, 20230, 113954, 120837, 33503, 30297, 102052, 109431, 109768, 104533, 78698, 105262, 10110, 121980, 1591, 123505, 121980, 1544, 5232, 44620, 1600, 38, 111800, 118219, 38093, 120270, 102181, 121359, 679, 22, 7705, 77181, 36896, 1600, 38, 108134, 30512, 5486, 66776, 112686, 102781, 108134, 30512, 106391, 13153, 54926, 15120, 89046, 16144, 108134, 104336, 19732, 82912, 47000, 105784, 66383, 101182, 9174, 121980, 1591, 5232, 40, 52940, 123646, 103202, 102756, 105048, 77181, 13177, 105156, 40862, 125456, 66383, 39926, 122984, 107001, 1811, 40, 52940, 44620, 105156, 40862, 120270, 123646, 103202, 102756, 105048, 10110, 102433, 102158, 41401, 7705, 36761, 679, 19, 8107, 5486, 79, 13, 17, 126229, 9174, 30813, 38144, 5486, 1600, 38, 108134, 30512, 96412, 104004, 66776, 112686, 102781, 108134, 30512, 104405, 13177, 95001, 112603, 109832, 67178, 107420, 64810, 22398, 10646, 20230, 103214, 64121, 125639, 36896, 95001, 112603, 109832, 67178, 71634, 111672, 11972, 118587, 21405, 102321, 54926, 32149, 5486, 16, 118821, 111090, 68408, 39880, 103306, 40, 52940, 16144, 95001, 112603, 109832, 67178, 107420, 64810, 22398, 111629, 10110, 90962, 110548, 80805, 22398, 123604, 116729, 121980, 1682, 7705, 30512, 32977, 19732, 20230, 19967, 13153, 56051, 111629, 21405, 18, 12, 17, 30512, 27452, 125030, 76947, 122984, 56051, 16995, 9174, 51330, 95001, 112603, 109832, 67178, 71634, 111672, 11972, 124957, 121960, 5486, 66776, 112686, 102781, 108134, 16144, 31634, 72238, 30512, 103214, 64121, 104526, 104004, 113009, 109215, 26854, 104468, 127359, 57933, 104612, 37823, 103906, 10110, 107693, 27479, 120732, 66378, 23187, 109853, 16144, 122225, 103195, 1811, 26854, 112371, 105110, 5486, 106613, 112167, 102923, 105226, 16144, 107693, 34171, 71289, 104622, 61826, 110480, 25129, 20230, 75146, 109669, 50834, 5486, 106613, 112167, 103087, 39084, 71289, 126330, 16144, 55487, 17620, 30512, 104662, 109315, 112973, 106613, 112167, 102669, 105838, 103195, 1811, 57980, 76947, 5486, 66776, 112686, 102781, 108134, 16144, 31634, 72238, 103195, 106613, 112167, 111681, 104482, 71289, 106613, 112167, 103087, 39084, 109853, 5486, 103087, 39084, 55487, 17620, 71289, 126330, 55487, 17620, 16144, 122225, 123410, 102052, 68759, 57933, 104612, 37823, 103906, 10110, 107693, 27479, 7705, 71289, 30358, 64121, 109669, 76622, 16144, 66378, 23187, 29295, 109215, 109947, 124490, 103195, 1811, 55487, 17620, 29295, 104662, 17129, 104984, 13177, 24615, 120, 104699, 48634, 118587, 19361, 54926, 91482, 76428, 102750, 22398, 123604, 30512, 91875, 123772, 106613, 112167, 116043, 23039, 117824, 16995, 5486, 47000, 21601, 95001, 112603, 30512, 47000, 107674, 39880, 125916, 57326, 67075, 10110, 105107, 25446, 71289, 125175, 7705, 30512, 109832, 31431, 121406, 118844, 29295, 95001, 112603, 109832, 67178, 107420, 64810, 22398, 116787, 5486, 95001, 112603, 109832, 67178, 71634, 111672, 11972, 124957, 107809, 72237, 30512, 26854, 17663, 9174, 111629, 21405, 18, 12, 17, 16144, 95001, 112603, 109832, 67178, 71634, 111672, 11972, 124957, 16144, 106391, 13153, 31634, 72238, 20230, 5486, 1600, 38, 108134, 30512, 111017, 31431, 107084, 104533, 5486, 33671, 16144, 101200, 108176, 9174, 12, 43444, 16, 7705, 13177, 36, 116326, 117501, 7705, 20230, 108826, 30369, 108134, 15682, 13177, 48915, 34048, 117501, 10646, 36896, 109683, 103087, 22656, 10646, 36896, 91482, 76428, 102750, 22398, 123604, 111329, 10110, 17, 7705, 13177, 50, 116326, 106222, 7705, 20230, 108826, 30369, 108134, 15682, 13177, 105390, 103087, 22656, 10646, 36896, 53283, 9554, 103087, 22656, 10646, 36896, 106222, 9458, 116690, 103087, 22656, 111329, 10110, 18, 7705, 13177, 38, 116326, 102472, 66953, 96452, 107446, 7705, 20230, 108826, 30369, 108134, 15682, 106613, 112167, 102669, 105838, 10110, 103087, 39084, 55487, 17620, 7705, 71289, 118482, 16144, 82420, 55723, 19732, 40452, 104309, 30512, 65743, 30369, 13177, 106613, 112167, 75146, 114457, 111329, 85701, 33503, 109853, 116898, 47884, 59739, 116421, 118789, 109904, 30926, 27452, 30512, 88852, 20230, 123680, 102639, 30369, 9174, 10110, 20713, 7705, 117501, 109853, 108167, 103214, 64121, 29295, 127242, 109768, 104533, 5486, 127123, 9554, 121606, 5486, 120328, 48915, 29504, 105212, 71289, 66776, 112167, 60632, 108638, 33014, 20230, 64467, 112419, 84389, 5486, 106222, 9554, 107624, 106053, 29295, 103167, 17297, 15024, 106116, 113702, 5486, 114435, 52884, 116670, 25197, 126989, 29295, 109161, 33208, 54926, 118733, 5486, 106222, 9458, 116690, 103087, 22656, 16144, 111831, 16556, 68759, 25197, 96452, 22398, 117282, 102717, 32149, 115847, 120577, 31634, 63212, 111848, 105525, 109415, 114485, 83747, 71289, 45163, 37507, 16144, 163, 65620, 72238, 85188, 109972, 106529, 16144, 115079, 21601, 111848, 107391, 116219, 52591, 42634, 115247, 68759, 25197, 96452, 22398, 16556, 5486, 91482, 76428, 102750, 22398, 102494, 68408, 114615, 13177, 24615, 120, 104699, 48634, 10646, 29295, 103167, 17297, 112990, 122984, 107001, 9174, 10110, 25963, 7705, 117501, 122692, 118482, 101513, 38093, 109853, 15682, 5486, 114734, 101513, 97518, 111848, 117501, 30358, 103984, 104774, 102860, 10110, 108156, 29430, 9458, 101427, 113, 106306, 120732, 103214, 13153, 9458, 122626, 71289, 41758, 102540, 100560, 250, 102860, 16144, 103214, 13153, 9458, 122626, 123160, 1600, 38, 114734, 118482, 29295, 91482, 76428, 102750, 22398, 102494, 68408, 114615, 106391, 13153, 31634, 72238, 103306, 122984, 15024, 50928, 30369, 9174, 10110, 34617, 7705, 114435, 16144, 106613, 112167, 116043, 23039, 124180, 71289, 102494, 78683, 47307, 122835, 117824, 30297, 18655, 126233, 107734, 38093, 29295, 106391, 13153, 31634, 72238, 117282, 13177, 106613, 112167, 48634, 10646, 5486, 80539, 106613, 112167, 102923, 105226, 16144, 23891, 5158, 30512, 42, 1932, 20230, 75146, 109669, 50834, 102494, 78683, 102514, 54926, 13177, 106613, 112167, 40452, 48634, 10646, 15682, 5486, 102472, 66953, 96452, 107446, 108134, 103306, 106613, 112167, 75146, 114457, 16144, 119318, 101734, 229, 109156, 30369, 9174, 10110, 46702, 7705, 105390, 103087, 22656, 20230, 108826, 30369, 66776, 112686, 102781, 108134, 103306, 5486, 123532, 101275, 102351, 112624, 102780, 27479, 104873, 112984, 5486, 106627, 107430, 96455, 5486, 111482, 40452, 107430, 57106, 96455, 104309, 29295, 123680, 102639, 110071, 29295, 121270, 72661, 13177, 1170, 40, 116326, 121980, 966, 7705, 109853, 15682, 5486, 113727, 24273, 71289, 106581, 9554, 124858, 20230, 43240, 103826, 34171, 16144, 101182, 17792, 103234, 29295, 43167, 115464, 118733, 5486, 43240, 103826, 34171, 30512, 104736, 109315, 25132, 108, 116310, 95221, 71289, 106581, 29295, 61337, 32943, 20230, 105194, 116, 13153, 84389, 108048, 29295, 25197, 101335, 102832, 38248, 115, 78205, 113883, 39084, 109026, 115717, 30297, 30369, 28542, 77181, 5486, 91482, 76428, 102750, 22398, 102494, 68408, 114615, 13177, 104364, 103283, 33208, 31634, 63212, 117503, 104195, 33208, 103306, 32977, 122984, 108608, 66327, 114172, 102512, 9458, 117989, 107804, 10646, 16556, 102158, 110071, 61337, 104346, 71289, 114435, 16144, 56420, 104309, 32977, 13177, 104195, 64121, 10646, 36896, 33503, 21105, 243, 117503, 39084, 109026, 103306, 91482, 76428, 102750, 22398, 102494, 68408, 114615, 104364, 103283, 33208, 31634, 63212, 19732, 82912, 109669, 76622, 110071, 9174, 121980, 966, 5232, 1170, 40, 5232, 35, 3050, 11, 58588, 612 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 48864, 109375, 30046, 112212, 5486, 43240, 119064, 102473, 112415, 71289, 87447, 20379, 103350, 124299, 16144, 108167, 103214, 64121, 29295, 23039, 78183, 115032, 9174, 121980, 1691, 5232, 126331, 31106, 120, 74245, 55030, 9458, 113569, 101129, 8676, 108, 10110, 679, 24, 7705, 44620, 105156, 40862, 120270, 16556, 108044, 105262, 95001, 112603, 109832, 67178, 71634, 111672, 11972, 36761, 33122, 30926, 25333, 102781, 5486, 79, 13, 17, 103732, 104984, 36896, 105156, 40862, 120270, 15682, 5486, 112686, 102781, 108134, 19732, 66776, 112686, 102781, 108134, 30512, 105156, 40862, 15024, 5486, 53900, 121606, 16144, 102669, 105838, 19732, 91482, 76428, 102750, 22398, 123604, 5486, 102472, 66953, 96452, 107446, 5486, 45163, 37507, 16144, 91774, 33035, 15024, 19732, 30512, 105156, 40862, 54926, 100909, 112212, 5486, 121606, 16144, 106649, 121270, 5486, 101544, 23538, 16144, 95001, 112603, 109832, 67178, 30512, 108044, 105262, 120270, 115707, 103195, 10646, 9174, 121980, 1313, 5232, 95001, 112603, 109832, 67178, 71634, 111672, 11972, 107118, 5486, 114435, 9458, 121606, 33014, 29295, 91482, 76428, 102750, 22398, 102494, 68408, 114615, 103350, 23039, 19732, 13153, 28873, 16144, 106518, 20834, 10110, 39880, 125916, 57326, 67075, 7705, 30512, 33035, 100204, 38144, 5486, 116907, 16144, 95001, 112603, 70141, 17905, 19732, 106222, 111363, 95001, 112603, 104908, 10110, 39880, 125916, 71493, 91062, 7705, 117824, 107462, 47884, 89753, 33121, 16144, 77, 1138, 1413, 10110, 53953, 102158, 104873, 7705, 26854, 21405, 102321, 103195, 1811, 50520, 111, 106624, 15682, 95001, 112603, 109832, 67178, 71634, 111672, 11972, 109853, 50520, 111, 43032, 56051, 5486, 126331, 31106, 120, 9458, 113569, 101129, 5486, 25580, 19012, 110, 102181, 5486, 79, 13, 4161, 21909, 30512, 126229, 103646, 16995, 9174, 15120, 27452, 103306, 112160, 106554, 102667, 16144, 103460, 105635, 116891, 15682, 13177, 1308, 36, 106613, 112167, 19732, 1600, 38, 106613, 112167, 30512, 123499, 26854, 44971, 115882, 16556, 105156, 40862, 15024, 5486, 69978, 106307, 109904, 114435, 95001, 112603, 109832, 67178, 30512, 103350, 102321, 108608, 106613, 112167, 102494, 68408, 114615, 106391, 113638, 19732, 103350, 124299, 118587, 30832, 64467, 15024, 36896, 1308, 1600, 38, 12175, 106613, 112167, 116326, 121980, 1419, 7705, 30512, 29172, 110125, 103792, 1811, 103350, 104983, 20230, 31958, 71005, 103927, 64178, 103857, 94550, 22398, 15682, 5486, 2366, 18, 16325, 23538, 106613, 112167, 82420, 55723, 121960, 36896, 31958, 71005, 1308, 1600, 38, 12175, 106613, 112167, 16144, 103350, 124299, 118587, 19012, 110, 102639, 36896, 60632, 105576, 13153, 101544, 19732, 1600, 38, 64467, 105888, 16144, 23226, 106594, 5486, 122270, 31958, 71005, 114420, 60868, 106826, 96452, 91482, 37823, 103906, 16144, 30832, 105888, 104067, 13153, 30512, 115963, 20230, 28873, 28713, 17663, 66383, 21405, 31958, 126020, 5486, 118482, 13153, 101544, 16144, 64467, 105888, 103195, 1308, 36, 16144, 9039, 112603, 20230, 5486, 1600, 38, 16144, 30832, 105888, 104067, 13153, 27479, 30512, 127268, 33208, 56051, 102944, 30512, 13177, 31958, 71005, 1308, 1600, 38, 12175, 10646, 103306, 42, 1932, 10110, 121980, 1187, 7705, 20230, 19012, 110, 102639, 100934, 28542, 29295, 26130, 30832, 107001, 10110, 121980, 914, 123505, 121980, 1419, 5232, 95001, 103460, 105635, 109861, 105330, 10110, 2366, 16, 7705, 44620, 114435, 95001, 112603, 106613, 112167, 36761, 102433, 106613, 111587, 116491, 109898, 5486, 79, 13, 1544, 1811, 126738, 36896, 1308, 1600, 38, 12175, 10646, 15682, 103460, 105635, 116891, 29295, 122401, 56051, 106613, 112167, 64467, 105888, 103195, 9174, 30813, 38144, 123213, 14558, 16144, 111681, 104482, 15682, 5486, 1600, 38, 14, 66776, 112686, 102781, 108134, 55031, 112686, 102781, 108134, 20230, 108436, 33208, 54926, 5486, 117952, 81219, 13177, 24615, 120, 104699, 48634, 117503, 39084, 109026, 19732, 104736, 109375, 107001, 103296, 16144, 107420, 64810, 22398, 103306, 16144, 80805, 22398, 10110, 106613, 47095, 120732, 23187, 104577, 19732, 31540, 103984, 33208, 109853, 36896, 104346, 29295, 114408, 76622, 81219, 44559, 114, 102571, 29295, 101268, 110, 117295, 117503, 30624, 47884, 5486, 97518, 89046, 34171, 71289, 59739, 105722, 31431, 30512, 31958, 20379, 9458, 122984, 54926, 112973, 111108, 102800, 100909, 117083, 1811, 66378, 20230, 36896, 24615, 120, 104699, 48634, 118587, 19361, 54926, 91482, 76428, 102750, 22398, 123604, 16556, 118482, 30512, 112167, 104004, 104983, 20230, 5486, 45163, 37507, 95001, 112603, 30512, 21990, 64121, 121406, 116497, 16144, 1600, 38, 14, 66776, 112686, 102781, 31634, 72238, 30512, 106613, 112167, 103087, 39084, 103306, 80172, 17701, 39926, 55031, 8239, 114503, 102404, 102321, 103296, 16144, 13177, 82973, 100818, 116, 10646, 29295, 1600, 38, 31634, 72238, 113468, 77693, 108422, 33121, 108901, 109020, 5486, 101182, 16995, 15682, 27929, 32977, 27929, 32977, 82973, 100818, 116, 29295, 31958, 105184, 20230, 118765, 100909, 117083, 1811, 122270, 5486, 40265, 109638, 114435, 29295, 103204, 54926, 101275, 98220, 9458, 101275, 104091, 71289, 5486, 118482, 108761, 103438, 16144, 66378, 34171, 113468, 32977, 82973, 100818, 116, 29295, 108010, 30297, 104309, 102159, 103283, 34171, 29295, 104195, 102334, 62004, 5486, 123782, 109904, 42634, 76428, 48552, 9458, 52591, 117243, 30512, 20379, 17663, 104468, 110993, 107436, 110482, 111108, 103195, 10110, 121980, 1627, 123505, 121980, 1627, 5232, 50520, 111, 106624, 15682, 120268, 102212, 123575, 9458, 126331, 31106, 120, 5486, 25580, 19012, 110, 102181, 5486, 604, 13, 1591, 12, 966, 30512, 126229, 9174, 126738, 115515, 17129, 77181, 102924, 112904, 112535, 5486, 1600, 38, 14, 66776, 112686, 102781, 108134, 19732, 61304, 56051, 29295, 5486, 27929, 32977, 27929, 32977, 5486, 1600, 38, 108134, 19732, 66776, 112686, 102781, 108134, 16144, 23187, 104577, 109853, 32977, 37689, 91774, 16144, 121953, 29295, 64121, 110071, 1811, 11144, 1600, 38, 108134, 60094, 240, 66776, 112686, 102781, 108134, 11199, 19732, 110904, 116254, 33208, 54926, 105242, 30046, 32977, 16995, 104984, 5486, 42, 1932, 103306, 31540, 103984, 33208, 108608, 1600, 38, 108134, 29295, 112185, 83747, 103470, 5486, 1600, 38, 9458, 42, 1932, 16144, 117375, 29295, 40265, 109638, 114435, 16144, 101275, 116486, 20230, 108928, 109315, 108385, 58318, 27479, 15682, 39442, 36785, 48249, 118078, 16556, 5486, 101275, 116486, 123863, 122984, 48634, 29295, 31809, 65316, 112973, 102321, 103397, 103195, 106592, 119870, 17129, 107290, 5486, 11144, 1600, 38, 108134, 104971, 66776, 112686, 102781, 108134, 11199, 10110, 121980, 1544, 7705, 102677, 113727, 24273, 32977, 101182, 123601, 77219, 77181, 5486, 66776, 112686, 102781, 108134, 30512, 11144, 1600, 38, 108134, 10110, 105390, 103087, 22656, 104309, 7705, 121409, 102473, 122401, 10110, 49, 33465, 7705, 71289, 53283, 9554, 112686, 106518, 10110, 53283, 9554, 103087, 22656, 7705, 123160, 43568, 83799, 103087, 106518, 121409, 106613, 112167, 48634, 121409, 114950, 11199, 19732, 91774, 110214, 115847, 33503, 29295, 110022, 100204, 38144, 114435, 107809, 101544, 23538, 109904, 13153, 101544, 16144, 39084, 109026, 108176, 5486, 102677, 113727, 20230, 75146, 109669, 50834, 5486, 66776, 112686, 102781, 108134, 30512, 13177, 95001, 112603, 109832, 67178, 71634, 111672, 11972, 10646, 20230, 19361, 101513, 112535, 111887, 31431, 104526, 104004, 105908, 5486, 126330, 46729, 20230, 113954, 120837, 33503, 30297, 102052, 109431, 109768, 104533, 78698, 105262, 10110, 121980, 1591, 123505, 121980, 1544, 5232, 44620, 1600, 38, 111800, 118219, 38093, 120270, 102181, 121359, 679, 22, 7705, 77181, 36896, 1600, 38, 108134, 30512, 5486, 66776, 112686, 102781, 108134, 30512, 106391, 13153, 54926, 15120, 89046, 16144, 108134, 104336, 19732, 82912, 47000, 105784, 66383, 101182, 9174, 121980, 1591, 5232, 40, 52940, 123646, 103202, 102756, 105048, 77181, 13177, 105156, 40862, 125456, 66383, 39926, 122984, 107001, 1811, 40, 52940, 44620, 105156, 40862, 120270, 123646, 103202, 102756, 105048, 10110, 102433, 102158, 41401, 7705, 36761, 679, 19, 8107, 5486, 79, 13, 17, 126229, 9174, 30813, 38144, 5486, 1600, 38, 108134, 30512, 96412, 104004, 66776, 112686, 102781, 108134, 30512, 104405, 13177, 95001, 112603, 109832, 67178, 107420, 64810, 22398, 10646, 20230, 103214, 64121, 125639, 36896, 95001, 112603, 109832, 67178, 71634, 111672, 11972, 118587, 21405, 102321, 54926, 32149, 5486, 16, 118821, 111090, 68408, 39880, 103306, 40, 52940, 16144, 95001, 112603, 109832, 67178, 107420, 64810, 22398, 111629, 10110, 90962, 110548, 80805, 22398, 123604, 116729, 121980, 1682, 7705, 30512, 32977, 19732, 20230, 19967, 13153, 56051, 111629, 21405, 18, 12, 17, 30512, 27452, 125030, 76947, 122984, 56051, 16995, 9174, 51330, 95001, 112603, 109832, 67178, 71634, 111672, 11972, 124957, 121960, 5486, 66776, 112686, 102781, 108134, 16144, 31634, 72238, 30512, 103214, 64121, 104526, 104004, 113009, 109215, 26854, 104468, 127359, 57933, 104612, 37823, 103906, 10110, 107693, 27479, 120732, 66378, 23187, 109853, 16144, 122225, 103195, 1811, 26854, 112371, 105110, 5486, 106613, 112167, 102923, 105226, 16144, 107693, 34171, 71289, 104622, 61826, 110480, 25129, 20230, 75146, 109669, 50834, 5486, 106613, 112167, 103087, 39084, 71289, 126330, 16144, 55487, 17620, 30512, 104662, 109315, 112973, 106613, 112167, 102669, 105838, 103195, 1811, 57980, 76947, 5486, 66776, 112686, 102781, 108134, 16144, 31634, 72238, 103195, 106613, 112167, 111681, 104482, 71289, 106613, 112167, 103087, 39084, 109853, 5486, 103087, 39084, 55487, 17620, 71289, 126330, 55487, 17620, 16144, 122225, 123410, 102052, 68759, 57933, 104612, 37823, 103906, 10110, 107693, 27479, 7705, 71289, 30358, 64121, 109669, 76622, 16144, 66378, 23187, 29295, 109215, 109947, 124490, 103195, 1811, 55487, 17620, 29295, 104662, 17129, 104984, 13177, 24615, 120, 104699, 48634, 118587, 19361, 54926, 91482, 76428, 102750, 22398, 123604, 30512, 91875, 123772, 106613, 112167, 116043, 23039, 117824, 16995, 5486, 47000, 21601, 95001, 112603, 30512, 47000, 107674, 39880, 125916, 57326, 67075, 10110, 105107, 25446, 71289, 125175, 7705, 30512, 109832, 31431, 121406, 118844, 29295, 95001, 112603, 109832, 67178, 107420, 64810, 22398, 116787, 5486, 95001, 112603, 109832, 67178, 71634, 111672, 11972, 124957, 107809, 72237, 30512, 26854, 17663, 9174, 111629, 21405, 18, 12, 17, 16144, 95001, 112603, 109832, 67178, 71634, 111672, 11972, 124957, 16144, 106391, 13153, 31634, 72238, 20230, 5486, 1600, 38, 108134, 30512, 111017, 31431, 107084, 104533, 5486, 33671, 16144, 101200, 108176, 9174, 12, 43444, 16, 7705, 13177, 36, 116326, 117501, 7705, 20230, 108826, 30369, 108134, 15682, 13177, 48915, 34048, 117501, 10646, 36896, 109683, 103087, 22656, 10646, 36896, 91482, 76428, 102750, 22398, 123604, 111329, 10110, 17, 7705, 13177, 50, 116326, 106222, 7705, 20230, 108826, 30369, 108134, 15682, 13177, 105390, 103087, 22656, 10646, 36896, 53283, 9554, 103087, 22656, 10646, 36896, 106222, 9458, 116690, 103087, 22656, 111329, 10110, 18, 7705, 13177, 38, 116326, 102472, 66953, 96452, 107446, 7705, 20230, 108826, 30369, 108134, 15682, 106613, 112167, 102669, 105838, 10110, 103087, 39084, 55487, 17620, 7705, 71289, 118482, 16144, 82420, 55723, 19732, 40452, 104309, 30512, 65743, 30369, 13177, 106613, 112167, 75146, 114457, 111329, 85701, 33503, 109853, 116898, 47884, 59739, 116421, 118789, 109904, 30926, 27452, 30512, 88852, 20230, 123680, 102639, 30369, 9174, 10110, 20713, 7705, 117501, 109853, 108167, 103214, 64121, 29295, 127242, 109768, 104533, 5486, 127123, 9554, 121606, 5486, 120328, 48915, 29504, 105212, 71289, 66776, 112167, 60632, 108638, 33014, 20230, 64467, 112419, 84389, 5486, 106222, 9554, 107624, 106053, 29295, 103167, 17297, 15024, 106116, 113702, 5486, 114435, 52884, 116670, 25197, 126989, 29295, 109161, 33208, 54926, 118733, 5486, 106222, 9458, 116690, 103087, 22656, 16144, 111831, 16556, 68759, 25197, 96452, 22398, 117282, 102717, 32149, 115847, 120577, 31634, 63212, 111848, 105525, 109415, 114485, 83747, 71289, 45163, 37507, 16144, 163, 65620, 72238, 85188, 109972, 106529, 16144, 115079, 21601, 111848, 107391, 116219, 52591, 42634, 115247, 68759, 25197, 96452, 22398, 16556, 5486, 91482, 76428, 102750, 22398, 102494, 68408, 114615, 13177, 24615, 120, 104699, 48634, 10646, 29295, 103167, 17297, 112990, 122984, 107001, 9174, 10110, 25963, 7705, 117501, 122692, 118482, 101513, 38093, 109853, 15682, 5486, 114734, 101513, 97518, 111848, 117501, 30358, 103984, 104774, 102860, 10110, 108156, 29430, 9458, 101427, 113, 106306, 120732, 103214, 13153, 9458, 122626, 71289, 41758, 102540, 100560, 250, 102860, 16144, 103214, 13153, 9458, 122626, 123160, 1600, 38, 114734, 118482, 29295, 91482, 76428, 102750, 22398, 102494, 68408, 114615, 106391, 13153, 31634, 72238, 103306, 122984, 15024, 50928, 30369, 9174, 10110, 34617, 7705, 114435, 16144, 106613, 112167, 116043, 23039, 124180, 71289, 102494, 78683, 47307, 122835, 117824, 30297, 18655, 126233, 107734, 38093, 29295, 106391, 13153, 31634, 72238, 117282, 13177, 106613, 112167, 48634, 10646, 5486, 80539, 106613, 112167, 102923, 105226, 16144, 23891, 5158, 30512, 42, 1932, 20230, 75146, 109669, 50834, 102494, 78683, 102514, 54926, 13177, 106613, 112167, 40452, 48634, 10646, 15682, 5486, 102472, 66953, 96452, 107446, 108134, 103306, 106613, 112167, 75146, 114457, 16144, 119318, 101734, 229, 109156, 30369, 9174, 10110, 46702, 7705, 105390, 103087, 22656, 20230, 108826, 30369, 66776, 112686, 102781, 108134, 103306, 5486, 123532, 101275, 102351, 112624, 102780, 27479, 104873, 112984, 5486, 106627, 107430, 96455, 5486, 111482, 40452, 107430, 57106, 96455, 104309, 29295, 123680, 102639, 110071, 29295, 121270, 72661, 13177, 1170, 40, 116326, 121980, 966, 7705, 109853, 15682, 5486, 113727, 24273, 71289, 106581, 9554, 124858, 20230, 43240, 103826, 34171, 16144, 101182, 17792, 103234, 29295, 43167, 115464, 118733, 5486, 43240, 103826, 34171, 30512, 104736, 109315, 25132, 108, 116310, 95221, 71289, 106581, 29295, 61337, 32943, 20230, 105194, 116, 13153, 84389, 108048, 29295, 25197, 101335, 102832, 38248, 115, 78205, 113883, 39084, 109026, 115717, 30297, 30369, 28542, 77181, 5486, 91482, 76428, 102750, 22398, 102494, 68408, 114615, 13177, 104364, 103283, 33208, 31634, 63212, 117503, 104195, 33208, 103306, 32977, 122984, 108608, 66327, 114172, 102512, 9458, 117989, 107804, 10646, 16556, 102158, 110071, 61337, 104346, 71289, 114435, 16144, 56420, 104309, 32977, 13177, 104195, 64121, 10646, 36896, 33503, 21105, 243, 117503, 39084, 109026, 103306, 91482, 76428, 102750, 22398, 102494, 68408, 114615, 104364, 103283, 33208, 31634, 63212, 19732, 82912, 109669, 76622, 110071, 9174, 121980, 966, 5232, 1170, 40, 5232, 35, 3050, 11, 58588, 612 ]
[ 763, 9134, 15682, 5486, 43240, 103826, 34171, 5486, 35417, 50211, 34171, 5486, 68379, 99046, 224, 34171, 19732, 117735, 107001, 9174, 10110, 60596, 7705, 13153, 28873, 29295, 77913, 102321, 33208, 54926, 82973, 100818, 116, 29295, 98499, 64121, 20230, 47884, 16995, 104468, 5486, 102473, 122401, 10110, 49, 33465, 7705, 19732, 105390, 103087, 22656, 111363, 104378, 9458, 118935, 11883, 47260, 71634, 16144, 80172, 17701, 103195, 9174, 10110, 66224, 7705, 66776, 112686, 102781, 108134, 33954, 1932, 30512, 107734, 102351, 78943, 100845, 105, 114305, 20230, 106839, 17701, 54926, 91875, 50834, 29295, 5486, 102472, 66953, 96452, 107446, 17905, 107693, 26854, 31634, 72238, 103306, 102616, 112535, 26130, 30832, 110731, 118844, 15682, 107734, 102351, 55031, 123532, 101275, 102351, 103296, 16144, 101275, 116486, 107624, 95001, 123141, 19732, 21405, 118124, 15120, 33014, 103306, 5486, 114435, 22649, 104611, 16144, 103350, 102321, 19732, 114435, 95001, 112603, 70141, 17905, 102677, 30832, 112535, 117989, 100472, 114305, 113404, 29295, 109215, 116787, 5486, 105390, 103087, 22656, 71289, 53283, 9554, 103087, 22656, 72661, 122984, 108608, 29295, 5486, 106613, 112167, 75146, 114457, 16144, 23964, 229, 32938, 16556, 102472, 66953, 96452, 107446, 112028, 108476, 103306, 122984, 54926, 112973, 57980, 16995, 108995, 9174, 10110, 66115, 7705, 66776, 112686, 102781, 108134, 16144, 117591, 5486, 23187, 33857, 33208, 29295, 110482, 111108, 26854, 23187, 34171, 108134, 10110, 102669, 105838, 71289, 24273, 13393, 251, 104309, 7705, 29295, 107693, 116787, 115847, 33503, 30512, 95001, 112603, 109832, 67178, 107420, 64810, 117718, 23964, 229, 32938, 121142, 103470, 5486, 105156, 40862, 120270, 102181, 16144, 61337, 101544, 14, 79596, 39850, 26269, 64810, 78767, 104309, 20230, 13153, 101544, 71634, 111672, 115247, 106391, 13153, 31634, 72238, 103306, 61304, 107121, 17663, 125231, 103195, 9174, 30813, 38144, 5486, 1600, 38, 14, 66776, 112686, 102781, 108134, 16144, 87447, 20379, 109853, 104650, 37689, 17663, 125231, 28542, 103306, 15682, 5486, 126843, 5486, 105156, 40862, 120270, 102181, 29295, 19361, 95001, 110322, 106306, 120270, 102181, 19732, 108901, 26854, 31431, 49988, 37689, 87447, 20379, 103195, 100909, 71289, 5486, 114435, 16144, 102159, 103283, 34171, 71289, 106063, 37026, 34171, 29295, 104195, 102334, 62004, 5486, 40265, 109638, 114435, 13177, 33503, 21105, 243, 118587, 104195, 104873, 54926, 29295, 106644, 58942, 20230, 5486, 114435, 106063, 37026, 16144, 112690, 71289, 50338, 13393, 230, 16556, 122984, 15024, 103188, 105557, 30369, 126465, 32977, 91774, 110071, 1811, 114435, 16144, 106063, 37026, 34171, 29295, 103188, 27479, 20230, 103188, 105557, 104533, 5486, 126330, 46729, 110366, 103306, 15682, 106596, 54926, 108134, 16144, 50021, 106483, 125261, 34171, 29295, 106529, 33563, 84389, 101860, 5486, 114435, 123727, 39177, 109474, 125261, 20230, 104650, 115464, 103846, 5486, 50021, 103359, 125261, 111848, 126330, 61826, 114435, 121507, 29295, 110482, 111108, 115717, 32149, 101832, 100604, 9174, 80539, 108048, 71689, 20230, 107693, 26854, 28542, 15682, 5486, 108134, 87447, 20379, 54926, 113009, 102647, 23187, 56051, 1600, 38, 14, 66776, 112686, 102781, 108134, 9458, 42, 1932, 109853, 13177, 103350, 126120, 34171, 10646, 29295, 106529, 33563, 110731, 32149, 5486, 17663, 26854, 78183, 43514, 13177, 114435, 106613, 112167, 121960, 102780, 31431, 100604, 102944, 15682, 127091, 10646, 109853, 16144, 114435, 9458, 126330, 46729, 104836, 24273, 16144, 116696, 48552, 121432, 30512, 126920, 28873, 28713, 103792, 104865, 104405, 32149, 103195, 9174, 60358, 8107, 36896, 1600, 38, 66383, 95604, 112690, 29295, 13177, 60868, 106826, 96452, 91482, 37823, 103906, 66383, 95604, 112690, 20230, 22324, 50834, 109033, 116547, 59739, 59739, 101182, 118844, 15682, 5486, 1600, 38, 14, 66776, 112686, 102781, 108134, 29295, 16325, 101544, 23538, 112535, 60868, 106826, 96452, 91482, 37823, 103906, 14, 69978, 106307, 125396, 30512, 45736, 62004, 5486, 114435, 95001, 112603, 70141, 17905, 107294, 26854, 102639, 30369, 71634, 111672, 11972, 29295, 114435, 112212, 122984, 107001, 105908, 115515, 103296, 71689, 20230, 125494, 110731, 102321, 33121, 106046, 126832, 9174, 58426, 103846, 102052, 111476, 12, 43444, 16, 7705, 104622, 25129, 34171, 16144, 101182, 106613, 112167, 103087, 39084, 30512, 66776, 112686, 102781, 108134, 103306, 21405, 102321, 15024, 111476, 10110, 17, 7705, 106613, 112167, 102669, 105838, 16144, 31634, 101790, 99, 103195, 5486, 106613, 112167, 103087, 39084, 16144, 55487, 17620, 30512, 104405, 23039, 103836, 32149, 30512, 122984, 15024, 111476, 10110, 18, 7705, 11144, 91482, 76428, 102750, 22398, 123604, 30512, 104364, 103283, 33208, 39926, 5486, 121374, 114300, 106106, 123457, 104195, 62004, 5486, 60632, 105576, 96455, 30512, 109415, 36896, 24615, 120, 104699, 48634, 118587, 104195, 33208, 15024, 5486, 47000, 21601, 95001, 112603, 30512, 45736, 109315, 118733, 106222, 10110, 16144, 14167, 100, 65854, 7705, 20230, 107624, 95001, 84389, 5486, 110226, 105576, 29295, 115442, 31431, 5486, 113702, 103306, 115079, 107800, 106613, 112167, 103087, 39084, 30512, 88356, 126330, 54926, 11199, 102677, 37026, 61337, 16144, 13177, 95001, 112603, 109832, 67178, 107420, 64810, 22398, 118587, 31540, 103984, 33208, 15024, 111476, 10110, 19, 7705, 58426, 91482, 76428, 102750, 22398, 123604, 29295, 1600, 38, 9554, 114181, 28542, 72661, 106826, 105048, 103927, 33710, 126567, 55031, 107624, 95001, 107001, 101200, 5486, 37087, 33014, 16144, 106548, 103214, 64121, 30512, 91875, 32149, 17663, 53229, 91875, 48634, 103306, 5486, 106613, 112167, 116043, 23039, 54926, 106613, 112167, 123717, 19732, 17044, 121, 44416, 123113, 54926, 18655, 126233, 107734, 38093, 16144, 110176, 113663, 115847, 33503, 30512, 60868, 121057, 54926, 47260, 25005, 251, 44971, 84477, 34048, 103722, 29295, 106613, 112167, 75146, 114457, 30512, 46456, 58942, 100934, 198, 106592, 20379, 17663, 113637, 42634, 76428, 48552, 9458, 52591, 42634, 115247, 77, 1138, 1413, 26854, 122984, 127105, 29295, 5486, 17129, 30813, 106624, 13177, 95001, 112603, 109832, 67178, 71634, 111672, 11972, 10646, 103195, 1811, 128001, 128000, 60868, 121057, 84389, 126386, 102491, 16995, 66953, 78767, 78205, 113883, 36779, 72016, 30512, 38129, 103792, 117840, 1811, 110101, 65299, 103988, 30512, 110770, 66953, 78767, 78205, 113883, 13068, 11918, 20230, 51107, 54926, 32149, 5486, 50170, 5486, 88750, 5486, 50, 60739, 123160, 127177, 110101, 65299, 103988, 16144, 38129, 30512, 111800, 118219, 54926, 106592, 33334, 53508, 100, 62004, 78434, 9174, 33710, 47307, 57933, 32131, 12175, 16556, 71005, 109519, 114475, 105784, 121648, 98369, 19732, 48154, 122013, 120332, 102416, 198, 37271, 101634, 37656, 55030, 105408, 198, 45, 965, 16144, 120761, 64889, 41007, 102052, 5486, 103429, 22649, 120761, 64889, 10110, 121606, 120761, 64889, 7705, 71289, 103927, 33710, 124373, 127919, 27479, 16144, 108867, 23187, 5486, 115240, 111800, 112984, 104309, 116898, 47884, 59739, 116421, 41007, 115991, 33541, 1811, 32335, 106594, 16144, 71005, 109519, 25333, 30512, 121507, 54926, 103846, 102052, 5486, 116414, 20230, 101921, 104, 114431, 235, 107407, 32149, 10110, 91077, 19000, 120761, 64889, 7705, 71289, 103429, 23538, 5486, 101921, 104, 114431, 235, 16144, 109161, 34171, 27479, 104309, 30512, 37656, 105184, 20230, 120761, 64889, 54926, 105908, 109215, 38641, 9174, 103429, 22649, 120761, 64889, 107118, 5486, 101921, 104, 114431, 235, 121606, 112028, 34048, 30512, 118935, 18655, 15024, 10110, 21990, 111800, 65459, 77693, 30512, 14167, 243, 50034, 117785, 16556, 114181, 105085, 39926, 33334, 22957, 26854, 30297, 111800, 112984, 38641, 1811, 101921, 104, 114431, 235, 104398, 112506, 16144, 34171, 105284, 71289, 109161, 34171, 27479, 30512, 120761, 64889, 78434, 9174, 103048, 115075, 108208, 39135, 25333, 124905, 76947, 5486, 45, 965, 103195, 105908, 110322, 31958, 84389, 104984, 13177, 73672, 12, 3080, 66383, 95604, 104398, 112506, 115079, 125131, 114556, 78183, 30369, 28713, 25827, 2243, 109, 47884, 105284, 114792, 59739, 104398, 112506, 10110, 73672, 12, 3080, 107873, 34171, 104398, 112506, 7705, 29295, 122617, 16144, 45, 965, 104398, 112506, 107809, 16556, 108928, 109315, 57106, 96455, 30512, 82420, 108867, 78434, 113637, 13177, 73672, 12, 3080, 127268, 10646, 71289, 5486, 72237, 17620, 117068, 54926, 104398, 112506, 16144, 111017, 40862, 30512, 64121, 30369, 13177, 72237, 17620, 117068, 66201, 10646, 123160, 127268, 112212, 5486, 45, 965, 16144, 109161, 34171, 27479, 30512, 120761, 64889, 125545, 9174, 76171, 22398, 37823, 101335, 108941, 71289, 102472, 71634, 37823, 101335, 108941, 123160, 121432, 34171, 15734, 15682, 5486, 101921, 104, 114431, 235, 29295, 108008, 20230, 31809, 30813, 47884, 5486, 91077, 19000, 30512, 120761, 64889, 15024, 20230, 47884, 16995, 105908, 57903, 33541, 109807, 103846, 5486, 121507, 9554, 91875, 101171, 230, 32943, 110456, 106266, 117434, 26130, 17701, 25333, 10110, 50, 85602, 57933, 71634, 7705, 71289, 102741, 68759, 20251, 105335, 78459, 16073, 101682, 37729, 33014, 115240, 10110, 50, 4403, 7705, 124905, 30297, 107803, 32977, 57903, 33541, 9174, 53900, 5486, 50, 4403, 15682, 71005, 109519, 117434, 121507, 30512, 113173, 103306, 102741, 68759, 20251, 105335, 78459, 16073, 101682, 37729, 33014, 16144, 102404, 102321, 5486, 114140, 54926, 113009, 23039, 126832, 115789, 57903, 33541, 9174, 121432, 34171, 15734, 29295, 107750, 126832, 107803, 102052, 5486, 61826, 101860, 35894, 113351, 126101, 118935, 104473, 126130, 22957, 100604, 5486, 104473, 107654, 16325, 16144, 103927, 33710, 124373, 127919, 27479, 30512, 104873, 103854, 33541, 1811, 121432, 34171, 15734, 19732, 120761, 64889, 103646, 33503, 5486, 33671, 102052, 115240, 111800, 112984, 10110, 1182, 5486, 79770, 5486, 76739, 47260, 11972, 111800, 112984, 7705, 112212, 101921, 104, 114431, 235, 16144, 116245, 30512, 120761, 64889, 114140, 78434, 1811, 164, 90279, 26274, 241, 19732, 58426, 41642, 115195, 20230, 102404, 21990, 54926, 121432, 34171, 15734, 109853, 15682, 5486, 117032, 16144, 115240, 111800, 112984, 16556, 37656, 105184, 26854, 82912, 29295, 120761, 64889, 118765, 107803, 102052, 5486, 121507, 9554, 91875, 101171, 230, 32943, 110456, 106266, 117434, 26130, 17701, 25333, 10110, 50, 85602, 57933, 71634, 7705, 29295, 53508, 100, 62004, 102204, 33541, 9174, 121507, 9554, 91875, 101171, 230, 32943, 110456, 106266, 117434, 26130, 17701, 25333, 10110, 65492, 1676, 466, 532, 8769, 72036, 54911, 3475, 5232, 50, 85602, 57933, 71634, 7705, 107118, 5486, 107928, 16144, 122382, 102831, 55031, 27384, 91875, 101171, 230, 20230, 104398, 16995, 116731, 111073, 33710, 30512, 30775, 123, 17701, 15024, 5486, 164, 90279, 26274, 241, 71289, 114093, 64467, 101921, 116, 30512, 15308, 226, 113598, 54926, 91875, 101171, 230, 20230, 83747, 33857, 16144, 110456, 106266, 117434, 30512, 26130, 17701, 39926, 5486, 121432, 34171, 15734, 16144, 91077, 19000, 30512, 120761, 64889, 54926, 41007, 38641, 1811, 117434, 30512, 17701, 104028, 25580, 19732, 123470, 104473, 107654, 30512, 57942, 251, 106353, 101171, 230, 55031, 118935, 18655, 15024, 5486, 103927, 33710, 124373, 127919, 27479, 16144, 104721, 33208, 30512, 108867, 23187, 78434, 113637, 111800, 112984, 123410, 118733, 5486, 164, 90279, 26274, 241, 71289, 114093, 64467, 101921, 116, 47000, 60358, 16144, 121432, 34171, 45, 965, 16144, 48706, 54926, 116245, 30512, 53283, 30369, 105908, 125545, 9174, 115240, 120761, 64889, 15682, 5486, 101921, 104, 114431, 235, 16144, 116245, 71289, 34171, 105284, 30512, 53283, 30369, 103846, 107898, 22957, 26854, 30297, 111800, 112984, 16556, 5486, 55, 101911, 30512, 38129, 54926, 109713, 70563, 72369, 108337, 64889, 114050, 125152, 58322, 111800, 112984, 10110, 1182, 7705, 71289, 5486, 104195, 48634, 26854, 117450, 95221, 30512, 107740, 39926, 33014, 123727, 103826, 45829, 30512, 115240, 33208, 54926, 72237, 117450, 95221, 55999, 122173, 115240, 111800, 112984, 10110, 79770, 65459, 72404, 79785, 103682, 10110, 76739, 47260, 11972, 7705, 30512, 30591, 38144, 38144, 91774, 30369, 72404, 79785, 103682, 111800, 112984, 104309, 5486, 53900, 5486, 91939, 225, 71493, 127194, 104309, 5486, 32943, 103984, 117785, 124905, 76947, 33014, 123727, 103826, 45829, 30512, 106482, 15024, 121406, 32943, 103984, 117785, 111800, 112984, 32977, 33334, 22957, 26854, 61689, 9174, 33420, 33208, 36651, 15734, 16144, 120761, 64889, 77181, 5486, 91939, 225, 71493, 127194, 71289, 27384, 101921, 116, 71493, 127194, 120268, 101921, 116, 71493, 127194, 5486, 71493, 57326, 64810, 33710, 32943, 103984, 117785, 104309, 16556, 101921, 104, 114431, 235, 30512, 114181, 105085, 15024, 5486, 115963, 20230, 101921, 104, 114431, 235, 55031, 121606, 112028, 34048, 30512, 118935, 18655, 54926, 21990, 111800, 126130, 22957, 26854, 30297, 115789, 57903, 33541, 1811, 164, 90279, 45, 965, 77181, 5486, 113351, 34048, 72404, 79785, 103682, 111800, 112984, 71289, 72404, 79785, 103682, 32943, 103984, 117785, 111800, 112984, 5486, 67178, 58322, 1182, 5486, 79770, 123160, 111800, 112984, 16556, 120761, 64889, 126130, 22957, 26854, 61689, 9174, 15734, 102052, 5486, 101365, 106613, 32943, 17620, 14888, 234, 104398, 112506, 16144, 104398, 112506, 115716, 17905, 20230, 13177, 102741, 68759, 20251, 105335, 78459, 16073, 101682, 37729, 33014, 66383, 95604, 28713, 25827, 2243, 109, 47884, 105284, 29295, 102404, 102321, 127145, 1811, 110924, 16556, 5486, 102741, 68759, 20251, 105335, 78459, 16073, 101682, 37729, 33014, 20230, 102971, 40862, 54926, 34171, 105284, 114792, 59739, 54322, 105644, 34171, 16144, 117434, 21403, 97, 30512, 26130, 105644, 39926, 125152, 58322, 54926, 118733, 5486, 101921, 104, 114431, 235, 29295, 37087, 96356, 16144, 116414, 117083, 32149, 30512, 114140, 54926, 105908, 125545, 1811, 108936, 109904, 115240, 111800, 112984, 77181, 101921, 104, 114431, 235, 16144, 116245, 30512, 66378, 23187, 118765, 107803, 20230, 19361, 126120, 26854, 111800, 112984, 38641, 1811, 90620, 15024, 5486, 4031, 34, 77181, 102741, 68759, 20251, 105335, 78459, 16073, 101682, 37729, 33014, 29295, 83747, 100604, 105879, 5486, 43240, 119064, 107803, 5486, 101921, 104, 114431, 235, 15682, 110240, 20834, 103082, 107515, 9174, 53900, 5486, 102741, 68759, 20251, 105335, 78459, 16073, 101682, 37729, 33014, 30512, 38129, 56051, 71005, 109519, 117434, 10110, 102741, 68759, 20251, 105335, 78459, 16073, 39880, 96452, 77750, 105107, 21403, 97, 7705, 71289, 5486, 33014, 32943, 55031, 54322, 105644, 101911, 30512, 102867, 105644, 54926, 71005, 109519, 25333, 13177, 99695, 57326, 78459, 45923, 101682, 37729, 33014, 54322, 105644, 34171, 72237, 104091, 109519, 25333, 10110, 6616, 5463, 7705, 10646, 16144, 103359, 47523, 117282, 32149, 104405, 32149, 30512, 104873 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 763, 9134, 15682, 5486, 43240, 103826, 34171, 5486, 35417, 50211, 34171, 5486, 68379, 99046, 224, 34171, 19732, 117735, 107001, 9174, 10110, 60596, 7705, 13153, 28873, 29295, 77913, 102321, 33208, 54926, 82973, 100818, 116, 29295, 98499, 64121, 20230, 47884, 16995, 104468, 5486, 102473, 122401, 10110, 49, 33465, 7705, 19732, 105390, 103087, 22656, 111363, 104378, 9458, 118935, 11883, 47260, 71634, 16144, 80172, 17701, 103195, 9174, 10110, 66224, 7705, 66776, 112686, 102781, 108134, 33954, 1932, 30512, 107734, 102351, 78943, 100845, 105, 114305, 20230, 106839, 17701, 54926, 91875, 50834, 29295, 5486, 102472, 66953, 96452, 107446, 17905, 107693, 26854, 31634, 72238, 103306, 102616, 112535, 26130, 30832, 110731, 118844, 15682, 107734, 102351, 55031, 123532, 101275, 102351, 103296, 16144, 101275, 116486, 107624, 95001, 123141, 19732, 21405, 118124, 15120, 33014, 103306, 5486, 114435, 22649, 104611, 16144, 103350, 102321, 19732, 114435, 95001, 112603, 70141, 17905, 102677, 30832, 112535, 117989, 100472, 114305, 113404, 29295, 109215, 116787, 5486, 105390, 103087, 22656, 71289, 53283, 9554, 103087, 22656, 72661, 122984, 108608, 29295, 5486, 106613, 112167, 75146, 114457, 16144, 23964, 229, 32938, 16556, 102472, 66953, 96452, 107446, 112028, 108476, 103306, 122984, 54926, 112973, 57980, 16995, 108995, 9174, 10110, 66115, 7705, 66776, 112686, 102781, 108134, 16144, 117591, 5486, 23187, 33857, 33208, 29295, 110482, 111108, 26854, 23187, 34171, 108134, 10110, 102669, 105838, 71289, 24273, 13393, 251, 104309, 7705, 29295, 107693, 116787, 115847, 33503, 30512, 95001, 112603, 109832, 67178, 107420, 64810, 117718, 23964, 229, 32938, 121142, 103470, 5486, 105156, 40862, 120270, 102181, 16144, 61337, 101544, 14, 79596, 39850, 26269, 64810, 78767, 104309, 20230, 13153, 101544, 71634, 111672, 115247, 106391, 13153, 31634, 72238, 103306, 61304, 107121, 17663, 125231, 103195, 9174, 30813, 38144, 5486, 1600, 38, 14, 66776, 112686, 102781, 108134, 16144, 87447, 20379, 109853, 104650, 37689, 17663, 125231, 28542, 103306, 15682, 5486, 126843, 5486, 105156, 40862, 120270, 102181, 29295, 19361, 95001, 110322, 106306, 120270, 102181, 19732, 108901, 26854, 31431, 49988, 37689, 87447, 20379, 103195, 100909, 71289, 5486, 114435, 16144, 102159, 103283, 34171, 71289, 106063, 37026, 34171, 29295, 104195, 102334, 62004, 5486, 40265, 109638, 114435, 13177, 33503, 21105, 243, 118587, 104195, 104873, 54926, 29295, 106644, 58942, 20230, 5486, 114435, 106063, 37026, 16144, 112690, 71289, 50338, 13393, 230, 16556, 122984, 15024, 103188, 105557, 30369, 126465, 32977, 91774, 110071, 1811, 114435, 16144, 106063, 37026, 34171, 29295, 103188, 27479, 20230, 103188, 105557, 104533, 5486, 126330, 46729, 110366, 103306, 15682, 106596, 54926, 108134, 16144, 50021, 106483, 125261, 34171, 29295, 106529, 33563, 84389, 101860, 5486, 114435, 123727, 39177, 109474, 125261, 20230, 104650, 115464, 103846, 5486, 50021, 103359, 125261, 111848, 126330, 61826, 114435, 121507, 29295, 110482, 111108, 115717, 32149, 101832, 100604, 9174, 80539, 108048, 71689, 20230, 107693, 26854, 28542, 15682, 5486, 108134, 87447, 20379, 54926, 113009, 102647, 23187, 56051, 1600, 38, 14, 66776, 112686, 102781, 108134, 9458, 42, 1932, 109853, 13177, 103350, 126120, 34171, 10646, 29295, 106529, 33563, 110731, 32149, 5486, 17663, 26854, 78183, 43514, 13177, 114435, 106613, 112167, 121960, 102780, 31431, 100604, 102944, 15682, 127091, 10646, 109853, 16144, 114435, 9458, 126330, 46729, 104836, 24273, 16144, 116696, 48552, 121432, 30512, 126920, 28873, 28713, 103792, 104865, 104405, 32149, 103195, 9174, 60358, 8107, 36896, 1600, 38, 66383, 95604, 112690, 29295, 13177, 60868, 106826, 96452, 91482, 37823, 103906, 66383, 95604, 112690, 20230, 22324, 50834, 109033, 116547, 59739, 59739, 101182, 118844, 15682, 5486, 1600, 38, 14, 66776, 112686, 102781, 108134, 29295, 16325, 101544, 23538, 112535, 60868, 106826, 96452, 91482, 37823, 103906, 14, 69978, 106307, 125396, 30512, 45736, 62004, 5486, 114435, 95001, 112603, 70141, 17905, 107294, 26854, 102639, 30369, 71634, 111672, 11972, 29295, 114435, 112212, 122984, 107001, 105908, 115515, 103296, 71689, 20230, 125494, 110731, 102321, 33121, 106046, 126832, 9174, 58426, 103846, 102052, 111476, 12, 43444, 16, 7705, 104622, 25129, 34171, 16144, 101182, 106613, 112167, 103087, 39084, 30512, 66776, 112686, 102781, 108134, 103306, 21405, 102321, 15024, 111476, 10110, 17, 7705, 106613, 112167, 102669, 105838, 16144, 31634, 101790, 99, 103195, 5486, 106613, 112167, 103087, 39084, 16144, 55487, 17620, 30512, 104405, 23039, 103836, 32149, 30512, 122984, 15024, 111476, 10110, 18, 7705, 11144, 91482, 76428, 102750, 22398, 123604, 30512, 104364, 103283, 33208, 39926, 5486, 121374, 114300, 106106, 123457, 104195, 62004, 5486, 60632, 105576, 96455, 30512, 109415, 36896, 24615, 120, 104699, 48634, 118587, 104195, 33208, 15024, 5486, 47000, 21601, 95001, 112603, 30512, 45736, 109315, 118733, 106222, 10110, 16144, 14167, 100, 65854, 7705, 20230, 107624, 95001, 84389, 5486, 110226, 105576, 29295, 115442, 31431, 5486, 113702, 103306, 115079, 107800, 106613, 112167, 103087, 39084, 30512, 88356, 126330, 54926, 11199, 102677, 37026, 61337, 16144, 13177, 95001, 112603, 109832, 67178, 107420, 64810, 22398, 118587, 31540, 103984, 33208, 15024, 111476, 10110, 19, 7705, 58426, 91482, 76428, 102750, 22398, 123604, 29295, 1600, 38, 9554, 114181, 28542, 72661, 106826, 105048, 103927, 33710, 126567, 55031, 107624, 95001, 107001, 101200, 5486, 37087, 33014, 16144, 106548, 103214, 64121, 30512, 91875, 32149, 17663, 53229, 91875, 48634, 103306, 5486, 106613, 112167, 116043, 23039, 54926, 106613, 112167, 123717, 19732, 17044, 121, 44416, 123113, 54926, 18655, 126233, 107734, 38093, 16144, 110176, 113663, 115847, 33503, 30512, 60868, 121057, 54926, 47260, 25005, 251, 44971, 84477, 34048, 103722, 29295, 106613, 112167, 75146, 114457, 30512, 46456, 58942, 100934, 198, 106592, 20379, 17663, 113637, 42634, 76428, 48552, 9458, 52591, 42634, 115247, 77, 1138, 1413, 26854, 122984, 127105, 29295, 5486, 17129, 30813, 106624, 13177, 95001, 112603, 109832, 67178, 71634, 111672, 11972, 10646, 103195, 1811, 128001, 128000, 60868, 121057, 84389, 126386, 102491, 16995, 66953, 78767, 78205, 113883, 36779, 72016, 30512, 38129, 103792, 117840, 1811, 110101, 65299, 103988, 30512, 110770, 66953, 78767, 78205, 113883, 13068, 11918, 20230, 51107, 54926, 32149, 5486, 50170, 5486, 88750, 5486, 50, 60739, 123160, 127177, 110101, 65299, 103988, 16144, 38129, 30512, 111800, 118219, 54926, 106592, 33334, 53508, 100, 62004, 78434, 9174, 33710, 47307, 57933, 32131, 12175, 16556, 71005, 109519, 114475, 105784, 121648, 98369, 19732, 48154, 122013, 120332, 102416, 198, 37271, 101634, 37656, 55030, 105408, 198, 45, 965, 16144, 120761, 64889, 41007, 102052, 5486, 103429, 22649, 120761, 64889, 10110, 121606, 120761, 64889, 7705, 71289, 103927, 33710, 124373, 127919, 27479, 16144, 108867, 23187, 5486, 115240, 111800, 112984, 104309, 116898, 47884, 59739, 116421, 41007, 115991, 33541, 1811, 32335, 106594, 16144, 71005, 109519, 25333, 30512, 121507, 54926, 103846, 102052, 5486, 116414, 20230, 101921, 104, 114431, 235, 107407, 32149, 10110, 91077, 19000, 120761, 64889, 7705, 71289, 103429, 23538, 5486, 101921, 104, 114431, 235, 16144, 109161, 34171, 27479, 104309, 30512, 37656, 105184, 20230, 120761, 64889, 54926, 105908, 109215, 38641, 9174, 103429, 22649, 120761, 64889, 107118, 5486, 101921, 104, 114431, 235, 121606, 112028, 34048, 30512, 118935, 18655, 15024, 10110, 21990, 111800, 65459, 77693, 30512, 14167, 243, 50034, 117785, 16556, 114181, 105085, 39926, 33334, 22957, 26854, 30297, 111800, 112984, 38641, 1811, 101921, 104, 114431, 235, 104398, 112506, 16144, 34171, 105284, 71289, 109161, 34171, 27479, 30512, 120761, 64889, 78434, 9174, 103048, 115075, 108208, 39135, 25333, 124905, 76947, 5486, 45, 965, 103195, 105908, 110322, 31958, 84389, 104984, 13177, 73672, 12, 3080, 66383, 95604, 104398, 112506, 115079, 125131, 114556, 78183, 30369, 28713, 25827, 2243, 109, 47884, 105284, 114792, 59739, 104398, 112506, 10110, 73672, 12, 3080, 107873, 34171, 104398, 112506, 7705, 29295, 122617, 16144, 45, 965, 104398, 112506, 107809, 16556, 108928, 109315, 57106, 96455, 30512, 82420, 108867, 78434, 113637, 13177, 73672, 12, 3080, 127268, 10646, 71289, 5486, 72237, 17620, 117068, 54926, 104398, 112506, 16144, 111017, 40862, 30512, 64121, 30369, 13177, 72237, 17620, 117068, 66201, 10646, 123160, 127268, 112212, 5486, 45, 965, 16144, 109161, 34171, 27479, 30512, 120761, 64889, 125545, 9174, 76171, 22398, 37823, 101335, 108941, 71289, 102472, 71634, 37823, 101335, 108941, 123160, 121432, 34171, 15734, 15682, 5486, 101921, 104, 114431, 235, 29295, 108008, 20230, 31809, 30813, 47884, 5486, 91077, 19000, 30512, 120761, 64889, 15024, 20230, 47884, 16995, 105908, 57903, 33541, 109807, 103846, 5486, 121507, 9554, 91875, 101171, 230, 32943, 110456, 106266, 117434, 26130, 17701, 25333, 10110, 50, 85602, 57933, 71634, 7705, 71289, 102741, 68759, 20251, 105335, 78459, 16073, 101682, 37729, 33014, 115240, 10110, 50, 4403, 7705, 124905, 30297, 107803, 32977, 57903, 33541, 9174, 53900, 5486, 50, 4403, 15682, 71005, 109519, 117434, 121507, 30512, 113173, 103306, 102741, 68759, 20251, 105335, 78459, 16073, 101682, 37729, 33014, 16144, 102404, 102321, 5486, 114140, 54926, 113009, 23039, 126832, 115789, 57903, 33541, 9174, 121432, 34171, 15734, 29295, 107750, 126832, 107803, 102052, 5486, 61826, 101860, 35894, 113351, 126101, 118935, 104473, 126130, 22957, 100604, 5486, 104473, 107654, 16325, 16144, 103927, 33710, 124373, 127919, 27479, 30512, 104873, 103854, 33541, 1811, 121432, 34171, 15734, 19732, 120761, 64889, 103646, 33503, 5486, 33671, 102052, 115240, 111800, 112984, 10110, 1182, 5486, 79770, 5486, 76739, 47260, 11972, 111800, 112984, 7705, 112212, 101921, 104, 114431, 235, 16144, 116245, 30512, 120761, 64889, 114140, 78434, 1811, 164, 90279, 26274, 241, 19732, 58426, 41642, 115195, 20230, 102404, 21990, 54926, 121432, 34171, 15734, 109853, 15682, 5486, 117032, 16144, 115240, 111800, 112984, 16556, 37656, 105184, 26854, 82912, 29295, 120761, 64889, 118765, 107803, 102052, 5486, 121507, 9554, 91875, 101171, 230, 32943, 110456, 106266, 117434, 26130, 17701, 25333, 10110, 50, 85602, 57933, 71634, 7705, 29295, 53508, 100, 62004, 102204, 33541, 9174, 121507, 9554, 91875, 101171, 230, 32943, 110456, 106266, 117434, 26130, 17701, 25333, 10110, 65492, 1676, 466, 532, 8769, 72036, 54911, 3475, 5232, 50, 85602, 57933, 71634, 7705, 107118, 5486, 107928, 16144, 122382, 102831, 55031, 27384, 91875, 101171, 230, 20230, 104398, 16995, 116731, 111073, 33710, 30512, 30775, 123, 17701, 15024, 5486, 164, 90279, 26274, 241, 71289, 114093, 64467, 101921, 116, 30512, 15308, 226, 113598, 54926, 91875, 101171, 230, 20230, 83747, 33857, 16144, 110456, 106266, 117434, 30512, 26130, 17701, 39926, 5486, 121432, 34171, 15734, 16144, 91077, 19000, 30512, 120761, 64889, 54926, 41007, 38641, 1811, 117434, 30512, 17701, 104028, 25580, 19732, 123470, 104473, 107654, 30512, 57942, 251, 106353, 101171, 230, 55031, 118935, 18655, 15024, 5486, 103927, 33710, 124373, 127919, 27479, 16144, 104721, 33208, 30512, 108867, 23187, 78434, 113637, 111800, 112984, 123410, 118733, 5486, 164, 90279, 26274, 241, 71289, 114093, 64467, 101921, 116, 47000, 60358, 16144, 121432, 34171, 45, 965, 16144, 48706, 54926, 116245, 30512, 53283, 30369, 105908, 125545, 9174, 115240, 120761, 64889, 15682, 5486, 101921, 104, 114431, 235, 16144, 116245, 71289, 34171, 105284, 30512, 53283, 30369, 103846, 107898, 22957, 26854, 30297, 111800, 112984, 16556, 5486, 55, 101911, 30512, 38129, 54926, 109713, 70563, 72369, 108337, 64889, 114050, 125152, 58322, 111800, 112984, 10110, 1182, 7705, 71289, 5486, 104195, 48634, 26854, 117450, 95221, 30512, 107740, 39926, 33014, 123727, 103826, 45829, 30512, 115240, 33208, 54926, 72237, 117450, 95221, 55999, 122173, 115240, 111800, 112984, 10110, 79770, 65459, 72404, 79785, 103682, 10110, 76739, 47260, 11972, 7705, 30512, 30591, 38144, 38144, 91774, 30369, 72404, 79785, 103682, 111800, 112984, 104309, 5486, 53900, 5486, 91939, 225, 71493, 127194, 104309, 5486, 32943, 103984, 117785, 124905, 76947, 33014, 123727, 103826, 45829, 30512, 106482, 15024, 121406, 32943, 103984, 117785, 111800, 112984, 32977, 33334, 22957, 26854, 61689, 9174, 33420, 33208, 36651, 15734, 16144, 120761, 64889, 77181, 5486, 91939, 225, 71493, 127194, 71289, 27384, 101921, 116, 71493, 127194, 120268, 101921, 116, 71493, 127194, 5486, 71493, 57326, 64810, 33710, 32943, 103984, 117785, 104309, 16556, 101921, 104, 114431, 235, 30512, 114181, 105085, 15024, 5486, 115963, 20230, 101921, 104, 114431, 235, 55031, 121606, 112028, 34048, 30512, 118935, 18655, 54926, 21990, 111800, 126130, 22957, 26854, 30297, 115789, 57903, 33541, 1811, 164, 90279, 45, 965, 77181, 5486, 113351, 34048, 72404, 79785, 103682, 111800, 112984, 71289, 72404, 79785, 103682, 32943, 103984, 117785, 111800, 112984, 5486, 67178, 58322, 1182, 5486, 79770, 123160, 111800, 112984, 16556, 120761, 64889, 126130, 22957, 26854, 61689, 9174, 15734, 102052, 5486, 101365, 106613, 32943, 17620, 14888, 234, 104398, 112506, 16144, 104398, 112506, 115716, 17905, 20230, 13177, 102741, 68759, 20251, 105335, 78459, 16073, 101682, 37729, 33014, 66383, 95604, 28713, 25827, 2243, 109, 47884, 105284, 29295, 102404, 102321, 127145, 1811, 110924, 16556, 5486, 102741, 68759, 20251, 105335, 78459, 16073, 101682, 37729, 33014, 20230, 102971, 40862, 54926, 34171, 105284, 114792, 59739, 54322, 105644, 34171, 16144, 117434, 21403, 97, 30512, 26130, 105644, 39926, 125152, 58322, 54926, 118733, 5486, 101921, 104, 114431, 235, 29295, 37087, 96356, 16144, 116414, 117083, 32149, 30512, 114140, 54926, 105908, 125545, 1811, 108936, 109904, 115240, 111800, 112984, 77181, 101921, 104, 114431, 235, 16144, 116245, 30512, 66378, 23187, 118765, 107803, 20230, 19361, 126120, 26854, 111800, 112984, 38641, 1811, 90620, 15024, 5486, 4031, 34, 77181, 102741, 68759, 20251, 105335, 78459, 16073, 101682, 37729, 33014, 29295, 83747, 100604, 105879, 5486, 43240, 119064, 107803, 5486, 101921, 104, 114431, 235, 15682, 110240, 20834, 103082, 107515, 9174, 53900, 5486, 102741, 68759, 20251, 105335, 78459, 16073, 101682, 37729, 33014, 30512, 38129, 56051, 71005, 109519, 117434, 10110, 102741, 68759, 20251, 105335, 78459, 16073, 39880, 96452, 77750, 105107, 21403, 97, 7705, 71289, 5486, 33014, 32943, 55031, 54322, 105644, 101911, 30512, 102867, 105644, 54926, 71005, 109519, 25333, 13177, 99695, 57326, 78459, 45923, 101682, 37729, 33014, 54322, 105644, 34171, 72237, 104091, 109519, 25333, 10110, 6616, 5463, 7705, 10646, 16144, 103359, 47523, 117282, 32149, 104405, 32149, 30512, 104873 ]
[ 103854, 30369, 103846, 107898, 22957, 26854, 30297, 115789, 57903, 33541, 9174, 22656, 109861, 77181, 105888, 109375, 90962, 110548, 44971, 90962, 78459, 45923, 104770, 104409, 33014, 30512, 38129, 54926, 90962, 110548, 44971, 90962, 57207, 109482, 111134, 106384, 11972, 10110, 50, 11706, 7705, 29295, 33563, 117126, 109431, 106608, 110731, 29295, 5486, 127123, 9554, 102052, 2614, 81888, 105888, 109375, 16144, 80504, 30512, 11883, 107991, 80504, 14, 1182, 10110, 50, 4403, 7705, 29295, 103572, 82317, 127145, 9174, 102741, 68759, 20251, 105335, 78459, 16073, 101682, 37729, 33014, 30512, 114140, 54926, 111800, 112984, 198, 102741, 68759, 20251, 105335, 78459, 16073, 101682, 37729, 33014, 20230, 102971, 40862, 54926, 54322, 105644, 34171, 53953, 105284, 30512, 102971, 40862, 56051, 33334, 117434, 10110, 76171, 76428, 65299, 91062, 105888, 109375, 90962, 110548, 44971, 90962, 78459, 45923, 104770, 104409, 33014, 7705, 30512, 26130, 105644, 39926, 5486, 114363, 11883, 16144, 71493, 127194, 10110, 102472, 16073, 68759, 71493, 127194, 7705, 16556, 37087, 96356, 30512, 125152, 66201, 78434, 9174, 30591, 112568, 15682, 101335, 66953, 33710, 103906, 22398, 105107, 25446, 30512, 38129, 110731, 121648, 118969, 5486, 101182, 16995, 15682, 58426, 48154, 122013, 112130, 11571, 128001, 128000, 87177, 15024, 17905, 46034, 115717, 106956, 9174, 122571, 40053, 9080, 119400, 55031, 102131, 91763, 76947, 61689, 29295, 5486, 112361, 104466, 91763, 30297, 17792, 32977, 43240, 117714, 111769, 123253, 32149, 9174, 104405, 126693, 87177, 15024, 17905, 46034, 101983, 104028, 104865, 5486, 87177, 15024, 17905, 46034, 124911, 104067, 16144, 55999, 33035, 16144, 33710, 64178, 15682, 113461, 103950, 32149, 5486, 102677, 106592, 106767, 107462, 47884, 51330, 47260, 109793, 11972, 9174, 25580, 18904, 15682, 13177, 120007, 111363, 104622, 21105, 243, 118587, 45736, 109315, 118733, 36896, 103283, 16144, 112690, 16556, 103721, 108, 31431, 104196, 17663, 115541, 108710, 16144, 101513, 38093, 118587, 115079, 126172, 105908, 108608, 16144, 111769, 32149, 114318, 102181, 50834, 79721, 9174, 110589, 15682, 58426, 106307, 50834, 38641, 9174, 87177, 15024, 17905, 46034, 19732, 117952, 115032, 116537, 5486, 106956, 100481, 13177, 103892, 29295, 104712, 66383, 17792, 20230, 112391, 107726, 33541, 9174, 80673, 36896, 103892, 29295, 104712, 17792, 10646, 29295, 37087, 38144, 87177, 15024, 17905, 46034, 103195, 113334, 77181, 124897, 9174, 119515, 105469, 26854, 13177, 53283, 109375, 10646, 107407, 105352, 97518, 78183, 121140, 36896, 99849, 30512, 78244, 103836, 104865, 78183, 124403, 66383, 17792, 20230, 112391, 107726, 38144, 114732, 116537, 102971, 106391, 43240, 117714, 111769, 123253, 32149, 9174, 16995, 78183, 106644, 30369, 13177, 102216, 48864, 10646, 26854, 17792, 102677, 104468, 5486, 121771, 115867, 30926, 30512, 53283, 106358, 31431, 5486, 121771, 115867, 112690, 30512, 53283, 106358, 31431, 78434, 9174, 80673, 36896, 111108, 102800, 112690, 10646, 71289, 13177, 114363, 103722, 11883, 102158, 10646, 104309, 30512, 13177, 87844, 102800, 112690, 10646, 20230, 22324, 50834, 109033, 105262, 100909, 103470, 106116, 110674, 110596, 101557, 106, 110214, 20230, 33655, 76947, 21405, 102321, 56051, 16144, 77181, 5486, 104655, 119188, 116537, 13177, 78183, 55031, 25827, 66383, 112391, 38144, 114732, 118733, 109954, 9174, 85701, 15682, 25580, 18904, 16144, 13177, 104622, 21105, 243, 10646, 20230, 33035, 100204, 30369, 87177, 126529, 119627, 36896, 111108, 102800, 112690, 118587, 33655, 76947, 17792, 20230, 87177, 30512, 39926, 64121, 38144, 108048, 16556, 120007, 29295, 13177, 78183, 124403, 66383, 119852, 105898, 126101, 104405, 54926, 32149, 5486, 113468, 13177, 87177, 15024, 17905, 46034, 66383, 26854, 104028, 107188, 110615, 32149, 29295, 17620, 32149, 33121, 33541, 9174, 120007, 29295, 13177, 78183, 124403, 66383, 119852, 109749, 113385, 103306, 15682, 5486, 32977, 43514, 85791, 25827, 5486, 120007, 110366, 16144, 13177, 53283, 109375, 29295, 102780, 31431, 100604, 66383, 95604, 105908, 20713, 59739, 123680, 102639, 102204, 33541, 9174, 80673, 108048, 29295, 37087, 38144, 16144, 113385, 77181, 124897, 9174, 13177, 53283, 109375, 66383, 95604, 102944, 121142, 107707, 106556, 30512, 108867, 31431, 53283, 30369, 109335, 103082, 107515, 9174, 101182, 112690, 30512, 116531, 117940, 53283, 76947, 102532, 5486, 124944, 117940, 53283, 33503, 104435, 5486, 109860, 116531, 115867, 24273, 29295, 106556, 29295, 126574, 114318, 104662, 62004, 59739, 105784, 100909, 104309, 103082, 107515, 101832, 9174, 114754, 15120, 21990, 16144, 117591, 20230, 48864, 104369, 105908, 108608, 13177, 53283, 109375, 10646, 102052, 48249, 98220, 115991, 33541, 9174, 101182, 17620, 102212, 16144, 112690, 15682, 119515, 105469, 20230, 53283, 76947, 102532, 32977, 5486, 103283, 16144, 17620, 102212, 101983, 104533, 102717, 19732, 124592, 53283, 33503, 104435, 31431, 5486, 102677, 112973, 110219, 112832, 20230, 72661, 40265, 38144, 15682, 115464, 102944, 38641, 9174, 13177, 111108, 102800, 112690, 10646, 71289, 13177, 114363, 103722, 11883, 102158, 66383, 95604, 102944, 15682, 36896, 120007, 104088, 38144, 55031, 102647, 104127, 33655, 30297, 10646, 112973, 37656, 102800, 33655, 16995, 24273, 19732, 78244, 58942, 33541, 9174, 110229, 29295, 36896, 104622, 21105, 243, 10646, 29295, 102780, 31431, 103470, 5486, 115364, 53283, 109375, 16144, 119515, 105469, 30813, 102677, 102944, 20230, 115924, 103359, 109904, 95001, 112603, 75146, 107253, 30512, 22324, 102532, 114732, 19732, 5486, 110993, 79982, 26854, 126513, 13177, 114387, 20230, 111108, 102800, 112690, 30512, 53283, 103836, 105994, 15682, 58942, 110706, 5486, 53283, 110104, 33334, 25580, 15682, 66953, 71493, 36785, 66383, 95604, 104466, 115598, 100472, 107624, 95001, 123410, 101200, 117084, 103801, 61689, 9174, 110382, 103296, 110993, 79982, 16556, 103470, 111243, 36896, 114387, 115789, 53283, 110104, 104865, 91006, 19732, 120007, 16144, 43568, 53283, 30512, 103803, 115933, 20230, 56051, 31431, 54926, 17792, 108680, 36896, 111108, 102800, 112690, 118587, 58426, 110674, 33655, 76947, 114732, 101427, 122, 70141, 107407, 117840, 9174, 80673, 36896, 126920, 103892, 16144, 104712, 17792, 66383, 95604, 104468, 36896, 111108, 102800, 112690, 118587, 58426, 110674, 33655, 100472, 31431, 103801, 72342, 25827, 9174, 87177, 30512, 103792, 120007, 29295, 5486, 28713, 19732, 116285, 105994, 19732, 112361, 114363, 103722, 46729, 103351, 31431, 39926, 36896, 111108, 102800, 112690, 10646, 72661, 50834, 43514, 127842, 114640, 101734, 236, 33035, 29295, 108608, 105110, 106116, 110674, 33655, 116285, 103424, 117201, 109954, 9174, 80673, 5486, 50021, 112909, 114652, 114181, 105085, 15024, 36896, 51330, 112690, 77181, 110371, 17792, 102052, 33035, 100204, 100604, 32149, 121061, 26854, 66383, 122225, 56051, 105110, 36896, 125821, 87844, 102800, 112690, 20230, 22324, 50834, 109033, 58942, 101200, 66383, 78698, 105262, 125231, 38641, 9174, 50021, 112909, 114181, 105085, 15024, 5486, 120007, 20230, 114146, 38144, 13177, 111108, 102800, 112690, 118587, 109431, 112904, 13177, 87844, 102800, 112690, 10646, 20230, 22324, 50834, 109033, 58942, 110071, 116537, 87177, 15024, 17905, 46034, 19732, 78244, 58942, 33541, 101832, 9174, 13177, 111108, 102800, 112690, 118587, 121771, 98369, 53283, 103836, 106592, 37026, 110020, 15024, 5486, 120007, 16144, 13177, 43568, 53283, 118587, 66953, 71493, 117657, 116537, 5486, 104662, 39926, 87177, 15024, 17905, 46034, 77181, 124897, 9174, 30813, 38144, 36896, 111108, 102800, 112690, 118587, 58426, 110674, 33655, 76947, 114732, 104468, 117119, 32977, 13177, 119515, 105469, 26854, 53283, 109375, 10646, 107407, 17792, 122416, 77181, 124897, 9174, 107430, 75267, 71289, 104654, 117501, 107809, 16556, 5486, 41642, 116310, 124911, 104067, 29295, 13177, 111108, 102800, 112690, 118587, 33655, 30297, 112973, 40053, 104856, 103836, 105933, 107803, 20230, 108048, 20230, 114146, 38144, 43568, 22649, 124283, 22649, 105994, 32977, 13177, 111108, 102800, 112690, 118587, 33655, 78183, 103470, 38144, 15682, 105110, 100604, 5486, 102677, 17792, 32977, 61689, 9174, 102131, 95604, 107803, 72661, 116898, 75694, 115408, 104654, 104309, 16556, 17792, 20230, 115364, 117876, 16144, 106592, 87177, 102131, 19732, 112990, 106116, 110674, 13177, 111108, 102800, 112690, 118587, 33655, 76947, 103801, 76947, 5486, 120007, 20230, 13177, 114652, 78183, 55031, 25827, 66383, 117952, 106824, 114732, 115789, 57903, 33541, 9174, 119515, 105469, 26854, 53283, 109375, 29295, 30591, 76947, 106116, 106592, 37026, 110020, 56051, 29295, 30369, 105933, 17792, 121142, 103470, 111476, 117501, 16556, 103572, 38574, 33655, 30297, 112690, 29295, 27929, 32977, 27929, 32977, 111108, 106624, 108048, 20230, 101557, 96, 106824, 103801, 103836, 17792, 32977, 112361, 9174, 67645, 112384, 116446, 32977, 36896, 87177, 30512, 104655, 119188, 120007, 125030, 76947, 106116, 112690, 29295, 111108, 102800, 32149, 104405, 32149, 30512, 58426, 72368, 27479, 122225, 54926, 66383, 95604, 105908, 19732, 111243, 27384, 30926, 126529, 125651, 9174, 85701, 30512, 17486, 254, 103836, 116537, 5486, 106956, 100481, 13177, 87177, 15024, 17905, 46034, 10646, 77181, 124897, 9174, 80539, 36896, 120007, 125030, 76947, 110371, 112690, 15682, 111108, 102800, 107188, 66383, 101067, 66201, 54926, 105908, 103082, 127567, 115515, 27479, 15682, 77693, 30512, 13177, 87844, 102800, 112690, 10646, 20230, 22324, 50834, 109033, 105262, 5486, 102677, 106592, 21105, 103, 47884, 38144, 15682, 105110, 100604, 16144, 38641, 9174, 102131, 95604, 106592, 5486, 87177, 30512, 21105, 103, 29295, 33503, 5486, 115364, 103892, 107809, 16556, 13177, 78698, 105262, 66383, 95604, 106592, 40053, 20230, 103792, 116537, 5486, 36785, 102189, 25827, 13177, 87177, 15024, 17905, 46034, 10646, 101983, 107462, 119064, 111769, 123253, 32149, 9174, 111108, 102800, 112690, 30512, 58426, 110674, 120007, 20230, 104369, 126268, 5486, 120007, 20230, 109972, 106529, 30512, 58318, 105262, 104865, 9174, 111108, 102800, 112690, 30512, 87844, 102800, 112690, 20230, 22324, 50834, 109033, 58942, 106116, 109972, 106529, 30512, 105994, 29295, 101682, 107441, 55031, 120007, 20230, 108044, 105262, 104865, 9174, 13177, 111108, 102800, 112690, 118587, 121247, 30297, 71689, 36896, 87177, 15024, 46034, 10646, 32149, 13177, 104655, 50834, 46034, 117503, 67645, 112384, 32149, 29295, 13177, 109972, 106529, 10646, 114475, 105784, 109215, 115991, 33541, 9174, 61826, 20230, 105994, 29295, 109972, 106529, 114475, 107441, 33334, 102532, 122765, 104984, 5486, 120007, 111363, 109972, 106529, 15682, 114485, 31431, 33541, 101832, 9174, 77693, 29295, 13177, 87177, 15024, 17905, 46034, 66383, 109020, 124122, 33710, 64178, 16144, 20713, 59739, 126529, 111769, 32149, 5486, 119150, 110589, 51330, 119400, 38641, 9174, 64780, 77219, 126130, 105465, 21105, 123, 115962, 76622, 79721, 33503, 5486, 88852, 16144, 93488, 119557, 20230, 48154, 108975, 123457, 33334, 124730, 78434, 9174, 89154, 78459, 26269, 19732, 110408, 39926, 115962, 118145, 115003, 231, 102800, 38641, 59459, 101704, 106968, 7705, 128001, 128000, 2, 111505, 117126, 112167, 101275, 16556, 19653, 54926, 103846, 107898, 65854, 103826, 110792, 124349, 30512, 123332, 109315, 21, 118821, 120098, 198, 2366, 15, 8107, 717, 9953, 18, 9080, 198, 33563, 117126, 112167, 101275, 16556, 19653, 54926, 102677, 109335, 108948, 65854, 103826, 20230, 30591, 112568, 16144, 29172, 81742, 54926, 33563, 117126, 30512, 120273, 103664, 120837, 33503, 30297, 100909, 38641, 109807, 103846, 102052, 5486, 109020, 103854, 47884, 103856, 16995, 38574, 106090, 16556, 33334, 65854, 103826, 110792, 22023, 117943, 116690, 30512, 113638, 47884, 109215, 115991, 33541, 1811, 16995, 78183, 106644, 30369, 13177, 124349, 30512, 123332, 109315, 66383, 95604, 100909, 38641, 9174, 80673, 108948, 65854, 103826, 110792, 124349, 99750, 30512, 123332, 109315, 109335, 102131, 112825, 110904, 26854, 100909, 77181, 124897, 1811, 110924, 16556, 5486, 102321, 107734, 26450, 64810, 64178, 22398, 116787, 106272, 101772, 23951, 103963, 117943, 29295, 108055, 28037, 54926, 11960, 114341, 104599, 72661, 101182, 103932, 17905, 105298, 20648, 231, 11960, 16144, 100927, 103234, 78239, 107809, 55031, 16906, 111, 102647, 39926, 108948, 65854, 103826, 110792, 124349, 30512, 123332, 109315, 124122, 21, 118821, 120098, 109853, 112825, 110904, 20230, 126362, 56051, 16995, 106046, 61689, 9174, 567, 106369, 65854, 103826, 110792, 124349, 30512, 123332, 109315, 13177, 55999, 99750, 59712, 105465, 102800, 82973, 59712, 18, 47018, 111329, 33334, 65854, 103826, 110792, 124349, 30512, 123332, 109315, 102052, 33671, 16144, 21, 118821, 120098, 30512, 37689, 109375, 54926, 109215, 115991, 33541, 1811, 126843, 15682, 58426, 117591, 16144, 18, 59739, 30512, 48154, 126362, 78434, 9174, 12, 121243, 99750, 30512, 18, 59739, 30358, 101832, 30369, 198, 12, 108341, 121, 102800, 82973, 30512, 55999, 19361, 103082, 104533, 104736, 109375, 120837, 33503, 30297, 198, 12, 220, 18, 47018, 16556, 61826, 46034, 59614, 104284, 198, 33334, 65854, 103826, 19732, 55999, 99750, 30512, 30358, 101832, 104533, 15682, 111108, 102800, 100909, 126194, 5486, 57207, 108969, 33710, 20230, 122141, 102131, 5486, 120550, 16144, 57980, 66383, 78244, 114598, 33503, 30297, 100909, 38641, 1811, 39177, 103550, 16144, 100909, 72661, 105321, 72661, 126521, 105879, 115847, 30512, 18, 59739, 33334, 65854, 103826, 20230, 80172, 102639, 32149, 105784, 118733, 33334, 65854, 103826, 110792, 95001, 112603, 114181, 30512, 114146, 30369, 105908, 125545, 9174, 33563, 117126, 30512, 120273, 103664, 54926, 109335, 17792, 113468, 15682, 13177, 111108, 102800, 59712, 30358, 16995, 66383, 95604, 25197, 126989, 114792, 76947, 103801, 61689, 119520, 108149, 112568, 116907, 29295, 13177, 115364, 117876, 15682, 33563, 117126, 30512, 105525, 30369, 100909, 126194, 38144, 108948, 65854, 103826, 19732, 126419, 20230, 126521, 33563, 117126, 29295, 104721, 105262, 106592, 126407, 104004, 100909, 66383, 78698, 105262, 118733, 110371, 82973, 30512, 105465, 102800, 82973, 19732, 15017, 231, 107290, 32977, 33503, 30297, 105908, 125545, 9174, 13177, 18, 47018, 16556, 61826, 46034, 59614, 104284, 66383, 15682, 5486, 120007, 126036, 103856, 47884, 71174, 119707, 105784, 102677, 100909, 38641, 1811, 107507, 101198, 94550, 30512, 110074, 39926, 114732, 19732, 95221, 126843, 115737, 100472, 31431, 108948, 106483, 16995, 50520, 106, 52084, 15024, 40862, 100472, 31431, 39926, 103801, 78183, 100604, 104466, 54926, 105908, 27384, 102769, 38641, 9174, 567, 106369, 65854, 103826, 110792, 124349, 30512, 123332, 109315, 13177, 80805, 38248, 121, 115307, 118347, 61398, 59712, 104655, 47884, 33014, 110095, 59712, 105509, 34171, 16144, 105184, 33563, 111329, 114626, 16144, 18, 59739, 15682, 117896, 38641, 9174, 12, 110138, 38248, 121, 115307, 118347, 61398, 30512, 37689, 109375, 54926, 198, 12, 110758, 112909, 13177, 104655, 47884, 10646, 33014, 110095, 117657, 198, 12, 106722, 37087, 34171, 30512, 105184, 33563, 54926, 198, 33334, 65854, 103826, 110792, 124349, 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 ]
[ 103854, 30369, 103846, 107898, 22957, 26854, 30297, 115789, 57903, 33541, 9174, 22656, 109861, 77181, 105888, 109375, 90962, 110548, 44971, 90962, 78459, 45923, 104770, 104409, 33014, 30512, 38129, 54926, 90962, 110548, 44971, 90962, 57207, 109482, 111134, 106384, 11972, 10110, 50, 11706, 7705, 29295, 33563, 117126, 109431, 106608, 110731, 29295, 5486, 127123, 9554, 102052, 2614, 81888, 105888, 109375, 16144, 80504, 30512, 11883, 107991, 80504, 14, 1182, 10110, 50, 4403, 7705, 29295, 103572, 82317, 127145, 9174, 102741, 68759, 20251, 105335, 78459, 16073, 101682, 37729, 33014, 30512, 114140, 54926, 111800, 112984, 198, 102741, 68759, 20251, 105335, 78459, 16073, 101682, 37729, 33014, 20230, 102971, 40862, 54926, 54322, 105644, 34171, 53953, 105284, 30512, 102971, 40862, 56051, 33334, 117434, 10110, 76171, 76428, 65299, 91062, 105888, 109375, 90962, 110548, 44971, 90962, 78459, 45923, 104770, 104409, 33014, 7705, 30512, 26130, 105644, 39926, 5486, 114363, 11883, 16144, 71493, 127194, 10110, 102472, 16073, 68759, 71493, 127194, 7705, 16556, 37087, 96356, 30512, 125152, 66201, 78434, 9174, 30591, 112568, 15682, 101335, 66953, 33710, 103906, 22398, 105107, 25446, 30512, 38129, 110731, 121648, 118969, 5486, 101182, 16995, 15682, 58426, 48154, 122013, 112130, 11571, 128001, 128000, 87177, 15024, 17905, 46034, 115717, 106956, 9174, 122571, 40053, 9080, 119400, 55031, 102131, 91763, 76947, 61689, 29295, 5486, 112361, 104466, 91763, 30297, 17792, 32977, 43240, 117714, 111769, 123253, 32149, 9174, 104405, 126693, 87177, 15024, 17905, 46034, 101983, 104028, 104865, 5486, 87177, 15024, 17905, 46034, 124911, 104067, 16144, 55999, 33035, 16144, 33710, 64178, 15682, 113461, 103950, 32149, 5486, 102677, 106592, 106767, 107462, 47884, 51330, 47260, 109793, 11972, 9174, 25580, 18904, 15682, 13177, 120007, 111363, 104622, 21105, 243, 118587, 45736, 109315, 118733, 36896, 103283, 16144, 112690, 16556, 103721, 108, 31431, 104196, 17663, 115541, 108710, 16144, 101513, 38093, 118587, 115079, 126172, 105908, 108608, 16144, 111769, 32149, 114318, 102181, 50834, 79721, 9174, 110589, 15682, 58426, 106307, 50834, 38641, 9174, 87177, 15024, 17905, 46034, 19732, 117952, 115032, 116537, 5486, 106956, 100481, 13177, 103892, 29295, 104712, 66383, 17792, 20230, 112391, 107726, 33541, 9174, 80673, 36896, 103892, 29295, 104712, 17792, 10646, 29295, 37087, 38144, 87177, 15024, 17905, 46034, 103195, 113334, 77181, 124897, 9174, 119515, 105469, 26854, 13177, 53283, 109375, 10646, 107407, 105352, 97518, 78183, 121140, 36896, 99849, 30512, 78244, 103836, 104865, 78183, 124403, 66383, 17792, 20230, 112391, 107726, 38144, 114732, 116537, 102971, 106391, 43240, 117714, 111769, 123253, 32149, 9174, 16995, 78183, 106644, 30369, 13177, 102216, 48864, 10646, 26854, 17792, 102677, 104468, 5486, 121771, 115867, 30926, 30512, 53283, 106358, 31431, 5486, 121771, 115867, 112690, 30512, 53283, 106358, 31431, 78434, 9174, 80673, 36896, 111108, 102800, 112690, 10646, 71289, 13177, 114363, 103722, 11883, 102158, 10646, 104309, 30512, 13177, 87844, 102800, 112690, 10646, 20230, 22324, 50834, 109033, 105262, 100909, 103470, 106116, 110674, 110596, 101557, 106, 110214, 20230, 33655, 76947, 21405, 102321, 56051, 16144, 77181, 5486, 104655, 119188, 116537, 13177, 78183, 55031, 25827, 66383, 112391, 38144, 114732, 118733, 109954, 9174, 85701, 15682, 25580, 18904, 16144, 13177, 104622, 21105, 243, 10646, 20230, 33035, 100204, 30369, 87177, 126529, 119627, 36896, 111108, 102800, 112690, 118587, 33655, 76947, 17792, 20230, 87177, 30512, 39926, 64121, 38144, 108048, 16556, 120007, 29295, 13177, 78183, 124403, 66383, 119852, 105898, 126101, 104405, 54926, 32149, 5486, 113468, 13177, 87177, 15024, 17905, 46034, 66383, 26854, 104028, 107188, 110615, 32149, 29295, 17620, 32149, 33121, 33541, 9174, 120007, 29295, 13177, 78183, 124403, 66383, 119852, 109749, 113385, 103306, 15682, 5486, 32977, 43514, 85791, 25827, 5486, 120007, 110366, 16144, 13177, 53283, 109375, 29295, 102780, 31431, 100604, 66383, 95604, 105908, 20713, 59739, 123680, 102639, 102204, 33541, 9174, 80673, 108048, 29295, 37087, 38144, 16144, 113385, 77181, 124897, 9174, 13177, 53283, 109375, 66383, 95604, 102944, 121142, 107707, 106556, 30512, 108867, 31431, 53283, 30369, 109335, 103082, 107515, 9174, 101182, 112690, 30512, 116531, 117940, 53283, 76947, 102532, 5486, 124944, 117940, 53283, 33503, 104435, 5486, 109860, 116531, 115867, 24273, 29295, 106556, 29295, 126574, 114318, 104662, 62004, 59739, 105784, 100909, 104309, 103082, 107515, 101832, 9174, 114754, 15120, 21990, 16144, 117591, 20230, 48864, 104369, 105908, 108608, 13177, 53283, 109375, 10646, 102052, 48249, 98220, 115991, 33541, 9174, 101182, 17620, 102212, 16144, 112690, 15682, 119515, 105469, 20230, 53283, 76947, 102532, 32977, 5486, 103283, 16144, 17620, 102212, 101983, 104533, 102717, 19732, 124592, 53283, 33503, 104435, 31431, 5486, 102677, 112973, 110219, 112832, 20230, 72661, 40265, 38144, 15682, 115464, 102944, 38641, 9174, 13177, 111108, 102800, 112690, 10646, 71289, 13177, 114363, 103722, 11883, 102158, 66383, 95604, 102944, 15682, 36896, 120007, 104088, 38144, 55031, 102647, 104127, 33655, 30297, 10646, 112973, 37656, 102800, 33655, 16995, 24273, 19732, 78244, 58942, 33541, 9174, 110229, 29295, 36896, 104622, 21105, 243, 10646, 29295, 102780, 31431, 103470, 5486, 115364, 53283, 109375, 16144, 119515, 105469, 30813, 102677, 102944, 20230, 115924, 103359, 109904, 95001, 112603, 75146, 107253, 30512, 22324, 102532, 114732, 19732, 5486, 110993, 79982, 26854, 126513, 13177, 114387, 20230, 111108, 102800, 112690, 30512, 53283, 103836, 105994, 15682, 58942, 110706, 5486, 53283, 110104, 33334, 25580, 15682, 66953, 71493, 36785, 66383, 95604, 104466, 115598, 100472, 107624, 95001, 123410, 101200, 117084, 103801, 61689, 9174, 110382, 103296, 110993, 79982, 16556, 103470, 111243, 36896, 114387, 115789, 53283, 110104, 104865, 91006, 19732, 120007, 16144, 43568, 53283, 30512, 103803, 115933, 20230, 56051, 31431, 54926, 17792, 108680, 36896, 111108, 102800, 112690, 118587, 58426, 110674, 33655, 76947, 114732, 101427, 122, 70141, 107407, 117840, 9174, 80673, 36896, 126920, 103892, 16144, 104712, 17792, 66383, 95604, 104468, 36896, 111108, 102800, 112690, 118587, 58426, 110674, 33655, 100472, 31431, 103801, 72342, 25827, 9174, 87177, 30512, 103792, 120007, 29295, 5486, 28713, 19732, 116285, 105994, 19732, 112361, 114363, 103722, 46729, 103351, 31431, 39926, 36896, 111108, 102800, 112690, 10646, 72661, 50834, 43514, 127842, 114640, 101734, 236, 33035, 29295, 108608, 105110, 106116, 110674, 33655, 116285, 103424, 117201, 109954, 9174, 80673, 5486, 50021, 112909, 114652, 114181, 105085, 15024, 36896, 51330, 112690, 77181, 110371, 17792, 102052, 33035, 100204, 100604, 32149, 121061, 26854, 66383, 122225, 56051, 105110, 36896, 125821, 87844, 102800, 112690, 20230, 22324, 50834, 109033, 58942, 101200, 66383, 78698, 105262, 125231, 38641, 9174, 50021, 112909, 114181, 105085, 15024, 5486, 120007, 20230, 114146, 38144, 13177, 111108, 102800, 112690, 118587, 109431, 112904, 13177, 87844, 102800, 112690, 10646, 20230, 22324, 50834, 109033, 58942, 110071, 116537, 87177, 15024, 17905, 46034, 19732, 78244, 58942, 33541, 101832, 9174, 13177, 111108, 102800, 112690, 118587, 121771, 98369, 53283, 103836, 106592, 37026, 110020, 15024, 5486, 120007, 16144, 13177, 43568, 53283, 118587, 66953, 71493, 117657, 116537, 5486, 104662, 39926, 87177, 15024, 17905, 46034, 77181, 124897, 9174, 30813, 38144, 36896, 111108, 102800, 112690, 118587, 58426, 110674, 33655, 76947, 114732, 104468, 117119, 32977, 13177, 119515, 105469, 26854, 53283, 109375, 10646, 107407, 17792, 122416, 77181, 124897, 9174, 107430, 75267, 71289, 104654, 117501, 107809, 16556, 5486, 41642, 116310, 124911, 104067, 29295, 13177, 111108, 102800, 112690, 118587, 33655, 30297, 112973, 40053, 104856, 103836, 105933, 107803, 20230, 108048, 20230, 114146, 38144, 43568, 22649, 124283, 22649, 105994, 32977, 13177, 111108, 102800, 112690, 118587, 33655, 78183, 103470, 38144, 15682, 105110, 100604, 5486, 102677, 17792, 32977, 61689, 9174, 102131, 95604, 107803, 72661, 116898, 75694, 115408, 104654, 104309, 16556, 17792, 20230, 115364, 117876, 16144, 106592, 87177, 102131, 19732, 112990, 106116, 110674, 13177, 111108, 102800, 112690, 118587, 33655, 76947, 103801, 76947, 5486, 120007, 20230, 13177, 114652, 78183, 55031, 25827, 66383, 117952, 106824, 114732, 115789, 57903, 33541, 9174, 119515, 105469, 26854, 53283, 109375, 29295, 30591, 76947, 106116, 106592, 37026, 110020, 56051, 29295, 30369, 105933, 17792, 121142, 103470, 111476, 117501, 16556, 103572, 38574, 33655, 30297, 112690, 29295, 27929, 32977, 27929, 32977, 111108, 106624, 108048, 20230, 101557, 96, 106824, 103801, 103836, 17792, 32977, 112361, 9174, 67645, 112384, 116446, 32977, 36896, 87177, 30512, 104655, 119188, 120007, 125030, 76947, 106116, 112690, 29295, 111108, 102800, 32149, 104405, 32149, 30512, 58426, 72368, 27479, 122225, 54926, 66383, 95604, 105908, 19732, 111243, 27384, 30926, 126529, 125651, 9174, 85701, 30512, 17486, 254, 103836, 116537, 5486, 106956, 100481, 13177, 87177, 15024, 17905, 46034, 10646, 77181, 124897, 9174, 80539, 36896, 120007, 125030, 76947, 110371, 112690, 15682, 111108, 102800, 107188, 66383, 101067, 66201, 54926, 105908, 103082, 127567, 115515, 27479, 15682, 77693, 30512, 13177, 87844, 102800, 112690, 10646, 20230, 22324, 50834, 109033, 105262, 5486, 102677, 106592, 21105, 103, 47884, 38144, 15682, 105110, 100604, 16144, 38641, 9174, 102131, 95604, 106592, 5486, 87177, 30512, 21105, 103, 29295, 33503, 5486, 115364, 103892, 107809, 16556, 13177, 78698, 105262, 66383, 95604, 106592, 40053, 20230, 103792, 116537, 5486, 36785, 102189, 25827, 13177, 87177, 15024, 17905, 46034, 10646, 101983, 107462, 119064, 111769, 123253, 32149, 9174, 111108, 102800, 112690, 30512, 58426, 110674, 120007, 20230, 104369, 126268, 5486, 120007, 20230, 109972, 106529, 30512, 58318, 105262, 104865, 9174, 111108, 102800, 112690, 30512, 87844, 102800, 112690, 20230, 22324, 50834, 109033, 58942, 106116, 109972, 106529, 30512, 105994, 29295, 101682, 107441, 55031, 120007, 20230, 108044, 105262, 104865, 9174, 13177, 111108, 102800, 112690, 118587, 121247, 30297, 71689, 36896, 87177, 15024, 46034, 10646, 32149, 13177, 104655, 50834, 46034, 117503, 67645, 112384, 32149, 29295, 13177, 109972, 106529, 10646, 114475, 105784, 109215, 115991, 33541, 9174, 61826, 20230, 105994, 29295, 109972, 106529, 114475, 107441, 33334, 102532, 122765, 104984, 5486, 120007, 111363, 109972, 106529, 15682, 114485, 31431, 33541, 101832, 9174, 77693, 29295, 13177, 87177, 15024, 17905, 46034, 66383, 109020, 124122, 33710, 64178, 16144, 20713, 59739, 126529, 111769, 32149, 5486, 119150, 110589, 51330, 119400, 38641, 9174, 64780, 77219, 126130, 105465, 21105, 123, 115962, 76622, 79721, 33503, 5486, 88852, 16144, 93488, 119557, 20230, 48154, 108975, 123457, 33334, 124730, 78434, 9174, 89154, 78459, 26269, 19732, 110408, 39926, 115962, 118145, 115003, 231, 102800, 38641, 59459, 101704, 106968, 7705, 128001, 128000, 2, 111505, 117126, 112167, 101275, 16556, 19653, 54926, 103846, 107898, 65854, 103826, 110792, 124349, 30512, 123332, 109315, 21, 118821, 120098, 198, 2366, 15, 8107, 717, 9953, 18, 9080, 198, 33563, 117126, 112167, 101275, 16556, 19653, 54926, 102677, 109335, 108948, 65854, 103826, 20230, 30591, 112568, 16144, 29172, 81742, 54926, 33563, 117126, 30512, 120273, 103664, 120837, 33503, 30297, 100909, 38641, 109807, 103846, 102052, 5486, 109020, 103854, 47884, 103856, 16995, 38574, 106090, 16556, 33334, 65854, 103826, 110792, 22023, 117943, 116690, 30512, 113638, 47884, 109215, 115991, 33541, 1811, 16995, 78183, 106644, 30369, 13177, 124349, 30512, 123332, 109315, 66383, 95604, 100909, 38641, 9174, 80673, 108948, 65854, 103826, 110792, 124349, 99750, 30512, 123332, 109315, 109335, 102131, 112825, 110904, 26854, 100909, 77181, 124897, 1811, 110924, 16556, 5486, 102321, 107734, 26450, 64810, 64178, 22398, 116787, 106272, 101772, 23951, 103963, 117943, 29295, 108055, 28037, 54926, 11960, 114341, 104599, 72661, 101182, 103932, 17905, 105298, 20648, 231, 11960, 16144, 100927, 103234, 78239, 107809, 55031, 16906, 111, 102647, 39926, 108948, 65854, 103826, 110792, 124349, 30512, 123332, 109315, 124122, 21, 118821, 120098, 109853, 112825, 110904, 20230, 126362, 56051, 16995, 106046, 61689, 9174, 567, 106369, 65854, 103826, 110792, 124349, 30512, 123332, 109315, 13177, 55999, 99750, 59712, 105465, 102800, 82973, 59712, 18, 47018, 111329, 33334, 65854, 103826, 110792, 124349, 30512, 123332, 109315, 102052, 33671, 16144, 21, 118821, 120098, 30512, 37689, 109375, 54926, 109215, 115991, 33541, 1811, 126843, 15682, 58426, 117591, 16144, 18, 59739, 30512, 48154, 126362, 78434, 9174, 12, 121243, 99750, 30512, 18, 59739, 30358, 101832, 30369, 198, 12, 108341, 121, 102800, 82973, 30512, 55999, 19361, 103082, 104533, 104736, 109375, 120837, 33503, 30297, 198, 12, 220, 18, 47018, 16556, 61826, 46034, 59614, 104284, 198, 33334, 65854, 103826, 19732, 55999, 99750, 30512, 30358, 101832, 104533, 15682, 111108, 102800, 100909, 126194, 5486, 57207, 108969, 33710, 20230, 122141, 102131, 5486, 120550, 16144, 57980, 66383, 78244, 114598, 33503, 30297, 100909, 38641, 1811, 39177, 103550, 16144, 100909, 72661, 105321, 72661, 126521, 105879, 115847, 30512, 18, 59739, 33334, 65854, 103826, 20230, 80172, 102639, 32149, 105784, 118733, 33334, 65854, 103826, 110792, 95001, 112603, 114181, 30512, 114146, 30369, 105908, 125545, 9174, 33563, 117126, 30512, 120273, 103664, 54926, 109335, 17792, 113468, 15682, 13177, 111108, 102800, 59712, 30358, 16995, 66383, 95604, 25197, 126989, 114792, 76947, 103801, 61689, 119520, 108149, 112568, 116907, 29295, 13177, 115364, 117876, 15682, 33563, 117126, 30512, 105525, 30369, 100909, 126194, 38144, 108948, 65854, 103826, 19732, 126419, 20230, 126521, 33563, 117126, 29295, 104721, 105262, 106592, 126407, 104004, 100909, 66383, 78698, 105262, 118733, 110371, 82973, 30512, 105465, 102800, 82973, 19732, 15017, 231, 107290, 32977, 33503, 30297, 105908, 125545, 9174, 13177, 18, 47018, 16556, 61826, 46034, 59614, 104284, 66383, 15682, 5486, 120007, 126036, 103856, 47884, 71174, 119707, 105784, 102677, 100909, 38641, 1811, 107507, 101198, 94550, 30512, 110074, 39926, 114732, 19732, 95221, 126843, 115737, 100472, 31431, 108948, 106483, 16995, 50520, 106, 52084, 15024, 40862, 100472, 31431, 39926, 103801, 78183, 100604, 104466, 54926, 105908, 27384, 102769, 38641, 9174, 567, 106369, 65854, 103826, 110792, 124349, 30512, 123332, 109315, 13177, 80805, 38248, 121, 115307, 118347, 61398, 59712, 104655, 47884, 33014, 110095, 59712, 105509, 34171, 16144, 105184, 33563, 111329, 114626, 16144, 18, 59739, 15682, 117896, 38641, 9174, 12, 110138, 38248, 121, 115307, 118347, 61398, 30512, 37689, 109375, 54926, 198, 12, 110758, 112909, 13177, 104655, 47884, 10646, 33014, 110095, 117657, 198, 12, 106722, 37087, 34171, 30512, 105184, 33563, 54926, 198, 33334, 65854, 103826, 110792, 124349, 30512 ]
[ 123332, 109315, 102083, 114598, 118656, 112535, 85707, 103359, 28190, 124911, 20230, 60358, 109669, 50834, 120195, 30369, 104468, 56965, 121953, 38641, 1811, 110924, 16556, 113727, 106956, 112973, 80805, 38248, 121, 115307, 118347, 61398, 102677, 126067, 38641, 9174, 80805, 38248, 121, 115307, 118347, 61398, 107118, 103283, 13372, 13177, 111943, 17792, 124349, 66383, 32977, 117952, 33121, 100481, 38144, 5486, 60358, 102800, 56965, 120910, 16556, 100604, 19732, 111419, 16144, 124349, 30512, 33563, 43514, 106956, 19732, 112391, 30369, 118347, 61398, 16144, 106592, 78244, 61689, 113637, 124349, 29295, 103664, 1774, 6358, 38641, 113637, 124349, 30512, 37689, 109375, 39926, 108608, 32149, 104405, 32149, 16556, 108948, 65854, 103826, 20230, 85707, 103359, 28190, 16556, 115389, 123671, 101860, 20230, 22023, 117943, 107001, 32149, 29295, 104662, 109709, 33541, 9174, 19, 87217, 30832, 19732, 20, 87217, 30832, 109853, 15682, 103350, 104983, 20230, 103932, 17905, 105298, 20648, 231, 11960, 16144, 78239, 30512, 48154, 111182, 72315, 9174, 567, 106369, 65854, 103826, 110792, 124349, 30512, 123332, 109315, 122617, 16144, 120098, 29295, 118314, 123332, 103646, 78239, 100927, 103234, 16144, 48154, 126362, 198, 37271, 18904, 16144, 47260, 32131, 91062, 77181, 108948, 65854, 103826, 110792, 124349, 30512, 123332, 109315, 21, 118821, 120098, 30512, 103932, 17905, 105298, 20648, 231, 11960, 16144, 78239, 100927, 103234, 13177, 127298, 103302, 101911, 55031, 104328, 32977, 19732, 47884, 64810, 64178, 22398, 107420, 64810, 22398, 27384, 50338, 21403, 244, 10646, 107809, 55031, 48154, 126362, 121256, 9174, 117896, 16144, 78239, 102052, 37271, 18904, 48154, 126362, 56051, 39880, 107420, 113335, 16556, 33655, 105262, 21, 118821, 120098, 121142, 103470, 5486, 104774, 110548, 104774, 76171, 103857, 94550, 16144, 47260, 103223, 5486, 118192, 108270, 16073, 9458, 110305, 78767, 94550, 16144, 47260, 103223, 17129, 38641, 115694, 29295, 50520, 108, 17129, 76947, 61689, 9174, 66378, 107898, 125683, 62004, 26854, 112973, 108948, 65854, 103826, 103283, 39880, 107420, 113335, 20251, 105048, 38641, 66327, 106063, 96356, 59712, 17039, 106367, 59712, 35, 11898, 50, 59712, 45114, 102, 106367, 59712, 57207, 120397, 68759, 119534, 59712, 103087, 106518, 46729, 59712, 121568, 118482, 36668, 10646, 104309, 113115, 54926, 118028, 76428, 115307, 39880, 107420, 113335, 15682, 5486, 102159, 105390, 102052, 85701, 103378, 72661, 33334, 35330, 30512, 124237, 30297, 95001, 112603, 107407, 106046, 61689, 105879, 33334, 125683, 62004, 38641, 9174, 48154, 109198, 17701, 105110, 18, 112959, 109753, 119279, 125683, 62004, 38641, 1811, 50520, 111, 106624, 15682, 117896, 30512, 48154, 111182, 72315, 1811, 128001, 128000, 2, 468, 4069, 47, 52884, 77750, 198, 116511, 101704, 20230, 89753, 104028, 27384, 103232, 102472, 123581, 22398, 117989, 111418, 16144, 115687, 96452, 32131, 57207, 109224, 15682, 5486, 76171, 45923, 16144, 110776, 30590, 116787, 5486, 116033, 127637, 16144, 115553, 9080, 102052, 1049, 32307, 17792, 102944, 17792, 104680, 29295, 111717, 55031, 43167, 115464, 102677, 1811, 76171, 45923, 107707, 112832, 32977, 29295, 110382, 16556, 17792, 21990, 16144, 105721, 32016, 231, 30512, 109169, 58942, 5486, 102472, 123581, 22398, 103232, 20230, 118954, 30512, 89753, 103646, 16995, 19732, 112622, 107462, 104533, 5486, 120351, 101704, 106624, 104655, 16995, 101732, 105879, 110371, 120366, 102052, 109834, 103868, 122291, 9174, 31809, 21990, 19732, 42016, 103826, 20230, 36896, 50834, 104043, 17792, 21990, 16144, 105721, 76706, 16144, 121846, 108176, 102944, 107407, 16144, 111769, 32149, 66383, 110371, 120366, 104088, 20230, 37507, 30369, 116537, 125494, 103792, 120900, 106046, 100472, 105272, 29295, 101511, 111405, 103682, 103927, 64178, 16144, 114181, 65854, 16144, 111482, 127282, 109163, 13357, 229, 77181, 102971, 106391, 105268, 47884, 91774, 107800, 10110, 103378, 26854, 104865, 11571, 7705, 104468, 37689, 48915, 103351, 9174, 120366, 77181, 5486, 101182, 9080, 5486, 122013, 16556, 102456, 30926, 109768, 104533, 50834, 20230, 5486, 103572, 38574, 55031, 80988, 239, 107608, 126738, 100204, 16995, 121944, 5486, 113938, 36896, 115687, 96452, 32131, 57207, 120650, 47884, 66383, 107322, 78244, 56051, 118844, 15682, 27929, 85791, 27929, 85791, 102625, 23538, 30512, 125636, 100472, 102677, 107322, 78244, 103195, 124845, 37026, 110362, 55031, 20713, 81191, 62903, 42634, 39850, 84477, 33710, 71689, 106627, 103468, 5486, 103350, 20230, 101462, 255, 16995, 64121, 100204, 62004, 100472, 114420, 115687, 96452, 32131, 57207, 117989, 111418, 16144, 122770, 20230, 28037, 100815, 39926, 5486, 73597, 252, 19000, 30512, 120999, 56051, 1811, 868, 9080, 56965, 23897, 123727, 106649, 23538, 73597, 252, 19000, 16556, 110745, 33014, 16144, 116537, 50338, 110645, 10110, 118370, 16144, 117735, 17161, 109846, 5486, 123716, 36827, 54926, 16144, 115552, 114420, 7705, 54926, 105879, 5486, 126843, 119869, 15682, 868, 9080, 67016, 73597, 252, 19000, 120273, 103664, 118765, 1811, 122768, 35417, 112197, 100204, 16995, 117940, 108618, 104611, 106272, 73597, 252, 19000, 117232, 868, 9080, 23897, 32943, 77181, 112185, 50338, 110645, 103082, 101860, 20230, 106116, 74482, 109337, 101544, 39926, 10110, 99849, 9080, 74482, 32149, 15682, 16937, 31958, 115287, 29295, 7705, 50338, 110645, 56051, 109807, 115514, 33014, 30512, 50834, 33121, 119178, 23951, 117831, 39926, 5486, 122013, 29295, 101365, 101477, 123, 20230, 106529, 117201, 5486, 33671, 30537, 20230, 114166, 103005, 54926, 120208, 20230, 22957, 107404, 29295, 108436, 109033, 39926, 5486, 46034, 105567, 45829, 16556, 104261, 16995, 106272, 5486, 117989, 111418, 16144, 80699, 101161, 105, 75267, 105352, 107462, 47884, 5486, 102677, 110229, 16556, 110371, 120366, 15682, 105721, 78183, 103836, 9174, 53900, 5486, 120366, 77181, 108948, 100204, 16995, 98369, 30512, 64209, 55487, 39926, 59739, 102532, 50834, 38144, 126419, 20230, 122770, 20230, 109249, 117856, 103792, 32335, 103926, 16144, 23018, 45829, 29295, 13177, 26854, 112371, 102625, 23538, 29295, 60358, 109669, 102334, 106046, 100472, 16144, 91006, 102677, 107750, 99397, 30512, 80172, 102639, 126929, 104533, 108948, 100204, 16995, 117940, 13177, 17792, 21990, 20230, 127814, 103468, 102189, 57980, 1811, 99849, 32977, 32149, 32977, 114774, 110276, 102189, 1811, 108031, 104405, 72661, 114652, 26854, 42891, 104702, 100472, 102189, 66383, 95604, 105933, 106592, 5486, 78244, 106358, 1811, 105268, 104055, 1544, 97049, 16144, 51330, 120366, 16144, 123113, 125030, 76947, 15682, 115847, 120264, 16144, 118741, 124884, 26854, 112690, 67016, 114284, 111179, 32149, 81219, 104435, 104865, 121061, 29295, 5486, 108031, 114715, 95221, 16144, 60632, 102334, 112690, 120937, 104865, 101832, 114318, 114715, 53953, 102780, 31431, 100604, 106046, 100472, 100909, 103195, 9174, 80673, 5486, 78183, 29295, 30926, 30512, 114284, 125119, 39926, 64121, 104533, 120268, 21990, 16144, 106759, 104503, 32977, 102625, 20230, 104983, 20230, 5486, 102832, 105404, 16144, 109203, 20230, 107991, 31809, 21990, 113115, 39926, 13177, 108031, 58942, 58942, 29295, 71289, 30019, 10646, 19732, 74090, 106150, 13870, 223, 16556, 127849, 71289, 102334, 105879, 5486, 102802, 121710, 31431, 56051, 105908, 101182, 1811, 114626, 102052, 13177, 123726, 30369, 95221, 48634, 29295, 21388, 122101, 10646, 5486, 102677, 100909, 26854, 120900, 32149, 1811, 102131, 118816, 112990, 51330, 120366, 112197, 100204, 16995, 115867, 127849, 71289, 50834, 15682, 81742, 48915, 13177, 37656, 50338, 10646, 26854, 104865, 121061, 9174, 10110, 105466, 112163, 23954, 47000, 61304, 20713, 5232, 103350, 15682, 508, 8107, 71689, 112772, 110371, 110776, 30590, 115687, 96452, 32131, 57207, 16144, 60358, 31938, 232, 117083, 23565, 73942, 36142, 3907, 102677, 108044, 105156, 16144, 101182, 102667, 55031, 5486, 9023, 13, 735, 398, 276, 27992, 116891, 30512, 28713, 102802, 28713, 102802, 31809, 21990, 16144, 102473, 102452, 20230, 117662, 107113, 1811, 103031, 126328, 112160, 27479, 51341, 73942, 36142, 3907, 30512, 120824, 99397, 39926, 102717, 102800, 19732, 99849, 27479, 32977, 117943, 123606, 101732, 119520, 5486, 103283, 14558, 16556, 126507, 68408, 32131, 66953, 65575, 16144, 1341, 49, 1669, 835, 10110, 34746, 356, 3787, 8483, 10181, 369, 279, 55738, 6830, 1907, 350, 897, 1233, 5232, 29504, 89046, 101513, 106391, 7705, 30512, 127637, 103378, 120824, 103468, 126101, 5486, 118331, 114228, 102540, 19732, 91062, 113155, 25197, 16144, 23530, 16325, 16144, 13177, 61056, 95221, 102472, 22398, 66383, 13177, 110776, 109022, 16144, 100853, 252, 66383, 13177, 37823, 62903, 105988, 11972, 117503, 83601, 100, 105522, 240, 102052, 16205, 253, 87844, 56051, 1811, 26854, 105879, 119568, 102052, 109161, 102518, 29295, 108048, 123434, 76171, 45923, 102052, 23039, 47884, 116499, 21105, 103, 16995, 110674, 103195, 124192, 39177, 15682, 51330, 102667, 77181, 103472, 104542, 30512, 25132, 229, 56051, 48864, 32943, 112607, 48634, 119895, 106106, 29295, 106266, 67016, 100472, 19732, 104655, 16995, 101732, 105272, 29295, 116898, 17129, 15682, 51330, 102667, 32977, 120175, 100815, 102532, 104622, 106241, 26854, 17792, 103234, 30512, 101477, 102, 20834, 103792, 100909, 108995, 1811, 76171, 45923, 29295, 102616, 30537, 20713, 16144, 113073, 30512, 19361, 54926, 5486, 89151, 16144, 106613, 111587, 27384, 29504, 103306, 102433, 71289, 59795, 30512, 113487, 102532, 106656, 122678, 54926, 9080, 32977, 102131, 110596, 47884, 120937, 119150, 9174, 47000, 61304, 17, 5232, 51330, 120366, 77181, 5486, 115687, 96452, 32131, 57207, 73597, 252, 19000, 126867, 5486, 106515, 16995, 22656, 107707, 110526, 33035, 112586, 127637, 102625, 20230, 102131, 110276, 33334, 100204, 16995, 121944, 5486, 102832, 105404, 16556, 13177, 102472, 123581, 22398, 103232, 16144, 53610, 29295, 115320, 115226, 66383, 115791, 105879, 5486, 114308, 114001, 117714, 23018, 45829, 29295, 78183, 75694, 78183, 75694, 103232, 111418, 20230, 47260, 103830, 16556, 53610, 30512, 21980, 110, 64121, 120650, 50834, 106116, 53610, 30512, 115320, 105823, 30369, 57207, 107060, 107407, 1811, 115687, 96452, 32131, 57207, 117989, 111418, 77181, 5486, 102625, 33014, 29295, 89753, 103468, 31431, 5486, 108914, 102754, 107, 56051, 31431, 5486, 43240, 119064, 114754, 31106, 238, 118959, 56051, 31431, 39926, 93132, 102924, 30512, 109768, 104533, 91763, 126832, 105879, 5486, 16937, 108581, 21990, 110993, 109709, 100604, 1811, 109846, 5486, 47260, 44971, 32131, 71289, 99695, 71634, 71289, 109657, 101576, 95, 71289, 46, 12, 10895, 104309, 111363, 113420, 34171, 10110, 85701, 120577, 109177, 72238, 16144, 17620, 50338, 27327, 7705, 29295, 103031, 120577, 101921, 116, 32943, 104398, 115686, 102052, 115514, 108044, 121240, 116840, 108044, 76750, 16556, 122635, 110731, 105879, 110371, 13177, 102625, 20230, 53610, 117503, 75267, 28190, 32977, 110008, 107001, 104865, 26854, 16449, 31195, 13, 104309, 19732, 5486, 121538, 53953, 109904, 100909, 122416, 95221, 110276, 1811, 114387, 100909, 77181, 120268, 21990, 15682, 112185, 112185, 13177, 50338, 110645, 10646, 102052, 39607, 110596, 16995, 102677, 100909, 32149, 121061, 1811, 128001, 128000, 2, 32386, 121, 103991, 76947, 121410, 9080, 120837, 27384, 121313, 126529, 11571, 95532, 12, 44714, 112, 33014, 198, 13177, 21105, 108, 33503, 119064, 56965, 15682, 5486, 121410, 9080, 102923, 103991, 101682, 107674, 24273, 29295, 104712, 76947, 117952, 103468, 116233, 107493, 31195, 111329, 19732, 101182, 121648, 103826, 110792, 38093, 87177, 16144, 26854, 32149, 16556, 5486, 117382, 33035, 123671, 101732, 64531, 33014, 112197, 87177, 126130, 104655, 50834, 121256, 9174, 51330, 105284, 99397, 109853, 5486, 112418, 15682, 108895, 33334, 103899, 58942, 121256, 106609, 2, 32386, 121, 103991, 76947, 121410, 9080, 101682, 107441, 32977, 27384, 121313, 126529, 11571, 95532, 64531, 33014, 71289, 64531, 110135, 94923, 20230, 33035, 125167, 105908, 101182, 24273, 15682, 112160, 27479, 15682, 106613, 111186, 107407, 32149, 110241, 33121, 107515, 101832, 9174, 71493, 32131, 99959, 29295, 51385, 23187, 54926, 17129, 77181, 5486, 121410, 9080, 72661, 124284, 24273, 29295, 104712, 9174, 22649, 23602, 230, 77181, 78183, 117295, 107493, 115847, 76947, 126920, 27384, 121313, 26854, 104865, 95221, 115717, 33541, 123794, 95532, 85701, 114556, 39926, 112844, 19732, 5486, 102923, 103991, 112919, 113727, 24273, 71289, 102923, 103991, 16144, 41007, 113468, 32977, 124500, 76947, 50834, 33541, 105879, 111476, 85701, 29295, 37656, 50338, 6447, 102677, 22649, 105242, 15682, 124897, 9174, 90620, 5486, 112418, 26854, 111331, 113727, 103306, 15682, 31195, 198, 567, 105120, 236, 9080, 101682, 105784, 109215, 120937, 198, 19732, 112418, 15682, 91763, 61689, 9174, 61826, 107898, 108044, 58942, 78434, 29295, 5486, 127177, 94923, 30512, 33476, 23187, 103792, 113334, 77181, 124897, 105879, 48154, 113954, 72315, 7, 22634, 29307, 112418, 26854, 111331, 113727, 103306, 15682, 5486, 121410, 9080, 102923, 103991, 114475, 105784, 109335, 5486, 71493, 32131, 99959, 16144, 121894, 30512, 108056, 19732, 104736, 109375, 118765, 106046, 103836, 116233, 9174, 104405, 95604, 100909, 32149, 102677, 19732, 5486, 102923, 103991, 114475, 105784, 100909, 113468, 71493, 32131, 99959, 15682, 104721, 33208, 78434, 9174, 104004, 15024, 85791, 99849, 32977, 104721, 33208, 119703, 104856, 104533, 5486, 103991, 112919, 39880, 107420, 113335, 29295, 16937, 109431, 102769, 26854, 107803, 29295, 127181, 125651, 7, 22634, 29307, 16556, 106116, 104721, 33208, 125334, 30369, 112973, 17792, 113468, 32977, 108010, 61689, 29295, 5486, 36785, 102334, 16995, 102048, 234, 9080, 56040, 34617, 9080, 120264, 16556, 20834, 30369, 105908, 127181, 38641, 9174, 102677, 109335, 106116, 95543, 106608, 29295, 67645, 119775, 20834, 28713, 104865, 11571, 30512, 114181, 105085, 109768, 47884, 105908, 109215, 126529, 38641, 106609, 77693, 30512, 121410, 9080, 102923, 103991, 123410, 118733, 106116, 95543, 106608, 30512, 114140, 103082, 107515, 15024, 5486, 32149, 58942, 76947, 110456, 106266, 16144, 125639, 120195, 105352, 103721, 233, 29295, 30369, 105879, 5486, 101182, 113314, 16144, 82973, 126130, 126660, 19732, 17620, 124403, 105908, 127181, 116233, 101832, 7, 22634, 29307, 567, 32386, 121, 103991, 16144, 22649, 101067, 83799, 15682, 31195, 198, 82973, 29295, 106613, 59739, 107294, 106824, 71493, 32131, 99959, 29295, 103424, 115737, 107462, 47884, 100909, 36785, 106046, 76947, 61689, 9174, 102923, 103991, 114475, 107674, 112661, 122756, 104721, 33208, 30512, 121406, 109335, 5486, 107943, 20230, 111108, 102800, 100909, 77181, 124897, 9174, 103359, 111571, 109519, 25333, 109904, 41007, 124905, 116285, 5486, 114225, 58426, 75267, 16556, 104721, 33208, 30512, 121406, 109335, 78183, 111842, 112825, 110904, 105321, 38641, 9174, 72661, 5486, 116900, 20230, 82973, 29295, 106613, 59739, 107294, 106824, 71493, 32131, 99959, 30512, 18904, 109095, 107726, 100481, 47884, 24273, 29295, 124563, 107188, 32149 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 123332, 109315, 102083, 114598, 118656, 112535, 85707, 103359, 28190, 124911, 20230, 60358, 109669, 50834, 120195, 30369, 104468, 56965, 121953, 38641, 1811, 110924, 16556, 113727, 106956, 112973, 80805, 38248, 121, 115307, 118347, 61398, 102677, 126067, 38641, 9174, 80805, 38248, 121, 115307, 118347, 61398, 107118, 103283, 13372, 13177, 111943, 17792, 124349, 66383, 32977, 117952, 33121, 100481, 38144, 5486, 60358, 102800, 56965, 120910, 16556, 100604, 19732, 111419, 16144, 124349, 30512, 33563, 43514, 106956, 19732, 112391, 30369, 118347, 61398, 16144, 106592, 78244, 61689, 113637, 124349, 29295, 103664, 1774, 6358, 38641, 113637, 124349, 30512, 37689, 109375, 39926, 108608, 32149, 104405, 32149, 16556, 108948, 65854, 103826, 20230, 85707, 103359, 28190, 16556, 115389, 123671, 101860, 20230, 22023, 117943, 107001, 32149, 29295, 104662, 109709, 33541, 9174, 19, 87217, 30832, 19732, 20, 87217, 30832, 109853, 15682, 103350, 104983, 20230, 103932, 17905, 105298, 20648, 231, 11960, 16144, 78239, 30512, 48154, 111182, 72315, 9174, 567, 106369, 65854, 103826, 110792, 124349, 30512, 123332, 109315, 122617, 16144, 120098, 29295, 118314, 123332, 103646, 78239, 100927, 103234, 16144, 48154, 126362, 198, 37271, 18904, 16144, 47260, 32131, 91062, 77181, 108948, 65854, 103826, 110792, 124349, 30512, 123332, 109315, 21, 118821, 120098, 30512, 103932, 17905, 105298, 20648, 231, 11960, 16144, 78239, 100927, 103234, 13177, 127298, 103302, 101911, 55031, 104328, 32977, 19732, 47884, 64810, 64178, 22398, 107420, 64810, 22398, 27384, 50338, 21403, 244, 10646, 107809, 55031, 48154, 126362, 121256, 9174, 117896, 16144, 78239, 102052, 37271, 18904, 48154, 126362, 56051, 39880, 107420, 113335, 16556, 33655, 105262, 21, 118821, 120098, 121142, 103470, 5486, 104774, 110548, 104774, 76171, 103857, 94550, 16144, 47260, 103223, 5486, 118192, 108270, 16073, 9458, 110305, 78767, 94550, 16144, 47260, 103223, 17129, 38641, 115694, 29295, 50520, 108, 17129, 76947, 61689, 9174, 66378, 107898, 125683, 62004, 26854, 112973, 108948, 65854, 103826, 103283, 39880, 107420, 113335, 20251, 105048, 38641, 66327, 106063, 96356, 59712, 17039, 106367, 59712, 35, 11898, 50, 59712, 45114, 102, 106367, 59712, 57207, 120397, 68759, 119534, 59712, 103087, 106518, 46729, 59712, 121568, 118482, 36668, 10646, 104309, 113115, 54926, 118028, 76428, 115307, 39880, 107420, 113335, 15682, 5486, 102159, 105390, 102052, 85701, 103378, 72661, 33334, 35330, 30512, 124237, 30297, 95001, 112603, 107407, 106046, 61689, 105879, 33334, 125683, 62004, 38641, 9174, 48154, 109198, 17701, 105110, 18, 112959, 109753, 119279, 125683, 62004, 38641, 1811, 50520, 111, 106624, 15682, 117896, 30512, 48154, 111182, 72315, 1811, 128001, 128000, 2, 468, 4069, 47, 52884, 77750, 198, 116511, 101704, 20230, 89753, 104028, 27384, 103232, 102472, 123581, 22398, 117989, 111418, 16144, 115687, 96452, 32131, 57207, 109224, 15682, 5486, 76171, 45923, 16144, 110776, 30590, 116787, 5486, 116033, 127637, 16144, 115553, 9080, 102052, 1049, 32307, 17792, 102944, 17792, 104680, 29295, 111717, 55031, 43167, 115464, 102677, 1811, 76171, 45923, 107707, 112832, 32977, 29295, 110382, 16556, 17792, 21990, 16144, 105721, 32016, 231, 30512, 109169, 58942, 5486, 102472, 123581, 22398, 103232, 20230, 118954, 30512, 89753, 103646, 16995, 19732, 112622, 107462, 104533, 5486, 120351, 101704, 106624, 104655, 16995, 101732, 105879, 110371, 120366, 102052, 109834, 103868, 122291, 9174, 31809, 21990, 19732, 42016, 103826, 20230, 36896, 50834, 104043, 17792, 21990, 16144, 105721, 76706, 16144, 121846, 108176, 102944, 107407, 16144, 111769, 32149, 66383, 110371, 120366, 104088, 20230, 37507, 30369, 116537, 125494, 103792, 120900, 106046, 100472, 105272, 29295, 101511, 111405, 103682, 103927, 64178, 16144, 114181, 65854, 16144, 111482, 127282, 109163, 13357, 229, 77181, 102971, 106391, 105268, 47884, 91774, 107800, 10110, 103378, 26854, 104865, 11571, 7705, 104468, 37689, 48915, 103351, 9174, 120366, 77181, 5486, 101182, 9080, 5486, 122013, 16556, 102456, 30926, 109768, 104533, 50834, 20230, 5486, 103572, 38574, 55031, 80988, 239, 107608, 126738, 100204, 16995, 121944, 5486, 113938, 36896, 115687, 96452, 32131, 57207, 120650, 47884, 66383, 107322, 78244, 56051, 118844, 15682, 27929, 85791, 27929, 85791, 102625, 23538, 30512, 125636, 100472, 102677, 107322, 78244, 103195, 124845, 37026, 110362, 55031, 20713, 81191, 62903, 42634, 39850, 84477, 33710, 71689, 106627, 103468, 5486, 103350, 20230, 101462, 255, 16995, 64121, 100204, 62004, 100472, 114420, 115687, 96452, 32131, 57207, 117989, 111418, 16144, 122770, 20230, 28037, 100815, 39926, 5486, 73597, 252, 19000, 30512, 120999, 56051, 1811, 868, 9080, 56965, 23897, 123727, 106649, 23538, 73597, 252, 19000, 16556, 110745, 33014, 16144, 116537, 50338, 110645, 10110, 118370, 16144, 117735, 17161, 109846, 5486, 123716, 36827, 54926, 16144, 115552, 114420, 7705, 54926, 105879, 5486, 126843, 119869, 15682, 868, 9080, 67016, 73597, 252, 19000, 120273, 103664, 118765, 1811, 122768, 35417, 112197, 100204, 16995, 117940, 108618, 104611, 106272, 73597, 252, 19000, 117232, 868, 9080, 23897, 32943, 77181, 112185, 50338, 110645, 103082, 101860, 20230, 106116, 74482, 109337, 101544, 39926, 10110, 99849, 9080, 74482, 32149, 15682, 16937, 31958, 115287, 29295, 7705, 50338, 110645, 56051, 109807, 115514, 33014, 30512, 50834, 33121, 119178, 23951, 117831, 39926, 5486, 122013, 29295, 101365, 101477, 123, 20230, 106529, 117201, 5486, 33671, 30537, 20230, 114166, 103005, 54926, 120208, 20230, 22957, 107404, 29295, 108436, 109033, 39926, 5486, 46034, 105567, 45829, 16556, 104261, 16995, 106272, 5486, 117989, 111418, 16144, 80699, 101161, 105, 75267, 105352, 107462, 47884, 5486, 102677, 110229, 16556, 110371, 120366, 15682, 105721, 78183, 103836, 9174, 53900, 5486, 120366, 77181, 108948, 100204, 16995, 98369, 30512, 64209, 55487, 39926, 59739, 102532, 50834, 38144, 126419, 20230, 122770, 20230, 109249, 117856, 103792, 32335, 103926, 16144, 23018, 45829, 29295, 13177, 26854, 112371, 102625, 23538, 29295, 60358, 109669, 102334, 106046, 100472, 16144, 91006, 102677, 107750, 99397, 30512, 80172, 102639, 126929, 104533, 108948, 100204, 16995, 117940, 13177, 17792, 21990, 20230, 127814, 103468, 102189, 57980, 1811, 99849, 32977, 32149, 32977, 114774, 110276, 102189, 1811, 108031, 104405, 72661, 114652, 26854, 42891, 104702, 100472, 102189, 66383, 95604, 105933, 106592, 5486, 78244, 106358, 1811, 105268, 104055, 1544, 97049, 16144, 51330, 120366, 16144, 123113, 125030, 76947, 15682, 115847, 120264, 16144, 118741, 124884, 26854, 112690, 67016, 114284, 111179, 32149, 81219, 104435, 104865, 121061, 29295, 5486, 108031, 114715, 95221, 16144, 60632, 102334, 112690, 120937, 104865, 101832, 114318, 114715, 53953, 102780, 31431, 100604, 106046, 100472, 100909, 103195, 9174, 80673, 5486, 78183, 29295, 30926, 30512, 114284, 125119, 39926, 64121, 104533, 120268, 21990, 16144, 106759, 104503, 32977, 102625, 20230, 104983, 20230, 5486, 102832, 105404, 16144, 109203, 20230, 107991, 31809, 21990, 113115, 39926, 13177, 108031, 58942, 58942, 29295, 71289, 30019, 10646, 19732, 74090, 106150, 13870, 223, 16556, 127849, 71289, 102334, 105879, 5486, 102802, 121710, 31431, 56051, 105908, 101182, 1811, 114626, 102052, 13177, 123726, 30369, 95221, 48634, 29295, 21388, 122101, 10646, 5486, 102677, 100909, 26854, 120900, 32149, 1811, 102131, 118816, 112990, 51330, 120366, 112197, 100204, 16995, 115867, 127849, 71289, 50834, 15682, 81742, 48915, 13177, 37656, 50338, 10646, 26854, 104865, 121061, 9174, 10110, 105466, 112163, 23954, 47000, 61304, 20713, 5232, 103350, 15682, 508, 8107, 71689, 112772, 110371, 110776, 30590, 115687, 96452, 32131, 57207, 16144, 60358, 31938, 232, 117083, 23565, 73942, 36142, 3907, 102677, 108044, 105156, 16144, 101182, 102667, 55031, 5486, 9023, 13, 735, 398, 276, 27992, 116891, 30512, 28713, 102802, 28713, 102802, 31809, 21990, 16144, 102473, 102452, 20230, 117662, 107113, 1811, 103031, 126328, 112160, 27479, 51341, 73942, 36142, 3907, 30512, 120824, 99397, 39926, 102717, 102800, 19732, 99849, 27479, 32977, 117943, 123606, 101732, 119520, 5486, 103283, 14558, 16556, 126507, 68408, 32131, 66953, 65575, 16144, 1341, 49, 1669, 835, 10110, 34746, 356, 3787, 8483, 10181, 369, 279, 55738, 6830, 1907, 350, 897, 1233, 5232, 29504, 89046, 101513, 106391, 7705, 30512, 127637, 103378, 120824, 103468, 126101, 5486, 118331, 114228, 102540, 19732, 91062, 113155, 25197, 16144, 23530, 16325, 16144, 13177, 61056, 95221, 102472, 22398, 66383, 13177, 110776, 109022, 16144, 100853, 252, 66383, 13177, 37823, 62903, 105988, 11972, 117503, 83601, 100, 105522, 240, 102052, 16205, 253, 87844, 56051, 1811, 26854, 105879, 119568, 102052, 109161, 102518, 29295, 108048, 123434, 76171, 45923, 102052, 23039, 47884, 116499, 21105, 103, 16995, 110674, 103195, 124192, 39177, 15682, 51330, 102667, 77181, 103472, 104542, 30512, 25132, 229, 56051, 48864, 32943, 112607, 48634, 119895, 106106, 29295, 106266, 67016, 100472, 19732, 104655, 16995, 101732, 105272, 29295, 116898, 17129, 15682, 51330, 102667, 32977, 120175, 100815, 102532, 104622, 106241, 26854, 17792, 103234, 30512, 101477, 102, 20834, 103792, 100909, 108995, 1811, 76171, 45923, 29295, 102616, 30537, 20713, 16144, 113073, 30512, 19361, 54926, 5486, 89151, 16144, 106613, 111587, 27384, 29504, 103306, 102433, 71289, 59795, 30512, 113487, 102532, 106656, 122678, 54926, 9080, 32977, 102131, 110596, 47884, 120937, 119150, 9174, 47000, 61304, 17, 5232, 51330, 120366, 77181, 5486, 115687, 96452, 32131, 57207, 73597, 252, 19000, 126867, 5486, 106515, 16995, 22656, 107707, 110526, 33035, 112586, 127637, 102625, 20230, 102131, 110276, 33334, 100204, 16995, 121944, 5486, 102832, 105404, 16556, 13177, 102472, 123581, 22398, 103232, 16144, 53610, 29295, 115320, 115226, 66383, 115791, 105879, 5486, 114308, 114001, 117714, 23018, 45829, 29295, 78183, 75694, 78183, 75694, 103232, 111418, 20230, 47260, 103830, 16556, 53610, 30512, 21980, 110, 64121, 120650, 50834, 106116, 53610, 30512, 115320, 105823, 30369, 57207, 107060, 107407, 1811, 115687, 96452, 32131, 57207, 117989, 111418, 77181, 5486, 102625, 33014, 29295, 89753, 103468, 31431, 5486, 108914, 102754, 107, 56051, 31431, 5486, 43240, 119064, 114754, 31106, 238, 118959, 56051, 31431, 39926, 93132, 102924, 30512, 109768, 104533, 91763, 126832, 105879, 5486, 16937, 108581, 21990, 110993, 109709, 100604, 1811, 109846, 5486, 47260, 44971, 32131, 71289, 99695, 71634, 71289, 109657, 101576, 95, 71289, 46, 12, 10895, 104309, 111363, 113420, 34171, 10110, 85701, 120577, 109177, 72238, 16144, 17620, 50338, 27327, 7705, 29295, 103031, 120577, 101921, 116, 32943, 104398, 115686, 102052, 115514, 108044, 121240, 116840, 108044, 76750, 16556, 122635, 110731, 105879, 110371, 13177, 102625, 20230, 53610, 117503, 75267, 28190, 32977, 110008, 107001, 104865, 26854, 16449, 31195, 13, 104309, 19732, 5486, 121538, 53953, 109904, 100909, 122416, 95221, 110276, 1811, 114387, 100909, 77181, 120268, 21990, 15682, 112185, 112185, 13177, 50338, 110645, 10646, 102052, 39607, 110596, 16995, 102677, 100909, 32149, 121061, 1811, 128001, 128000, 2, 32386, 121, 103991, 76947, 121410, 9080, 120837, 27384, 121313, 126529, 11571, 95532, 12, 44714, 112, 33014, 198, 13177, 21105, 108, 33503, 119064, 56965, 15682, 5486, 121410, 9080, 102923, 103991, 101682, 107674, 24273, 29295, 104712, 76947, 117952, 103468, 116233, 107493, 31195, 111329, 19732, 101182, 121648, 103826, 110792, 38093, 87177, 16144, 26854, 32149, 16556, 5486, 117382, 33035, 123671, 101732, 64531, 33014, 112197, 87177, 126130, 104655, 50834, 121256, 9174, 51330, 105284, 99397, 109853, 5486, 112418, 15682, 108895, 33334, 103899, 58942, 121256, 106609, 2, 32386, 121, 103991, 76947, 121410, 9080, 101682, 107441, 32977, 27384, 121313, 126529, 11571, 95532, 64531, 33014, 71289, 64531, 110135, 94923, 20230, 33035, 125167, 105908, 101182, 24273, 15682, 112160, 27479, 15682, 106613, 111186, 107407, 32149, 110241, 33121, 107515, 101832, 9174, 71493, 32131, 99959, 29295, 51385, 23187, 54926, 17129, 77181, 5486, 121410, 9080, 72661, 124284, 24273, 29295, 104712, 9174, 22649, 23602, 230, 77181, 78183, 117295, 107493, 115847, 76947, 126920, 27384, 121313, 26854, 104865, 95221, 115717, 33541, 123794, 95532, 85701, 114556, 39926, 112844, 19732, 5486, 102923, 103991, 112919, 113727, 24273, 71289, 102923, 103991, 16144, 41007, 113468, 32977, 124500, 76947, 50834, 33541, 105879, 111476, 85701, 29295, 37656, 50338, 6447, 102677, 22649, 105242, 15682, 124897, 9174, 90620, 5486, 112418, 26854, 111331, 113727, 103306, 15682, 31195, 198, 567, 105120, 236, 9080, 101682, 105784, 109215, 120937, 198, 19732, 112418, 15682, 91763, 61689, 9174, 61826, 107898, 108044, 58942, 78434, 29295, 5486, 127177, 94923, 30512, 33476, 23187, 103792, 113334, 77181, 124897, 105879, 48154, 113954, 72315, 7, 22634, 29307, 112418, 26854, 111331, 113727, 103306, 15682, 5486, 121410, 9080, 102923, 103991, 114475, 105784, 109335, 5486, 71493, 32131, 99959, 16144, 121894, 30512, 108056, 19732, 104736, 109375, 118765, 106046, 103836, 116233, 9174, 104405, 95604, 100909, 32149, 102677, 19732, 5486, 102923, 103991, 114475, 105784, 100909, 113468, 71493, 32131, 99959, 15682, 104721, 33208, 78434, 9174, 104004, 15024, 85791, 99849, 32977, 104721, 33208, 119703, 104856, 104533, 5486, 103991, 112919, 39880, 107420, 113335, 29295, 16937, 109431, 102769, 26854, 107803, 29295, 127181, 125651, 7, 22634, 29307, 16556, 106116, 104721, 33208, 125334, 30369, 112973, 17792, 113468, 32977, 108010, 61689, 29295, 5486, 36785, 102334, 16995, 102048, 234, 9080, 56040, 34617, 9080, 120264, 16556, 20834, 30369, 105908, 127181, 38641, 9174, 102677, 109335, 106116, 95543, 106608, 29295, 67645, 119775, 20834, 28713, 104865, 11571, 30512, 114181, 105085, 109768, 47884, 105908, 109215, 126529, 38641, 106609, 77693, 30512, 121410, 9080, 102923, 103991, 123410, 118733, 106116, 95543, 106608, 30512, 114140, 103082, 107515, 15024, 5486, 32149, 58942, 76947, 110456, 106266, 16144, 125639, 120195, 105352, 103721, 233, 29295, 30369, 105879, 5486, 101182, 113314, 16144, 82973, 126130, 126660, 19732, 17620, 124403, 105908, 127181, 116233, 101832, 7, 22634, 29307, 567, 32386, 121, 103991, 16144, 22649, 101067, 83799, 15682, 31195, 198, 82973, 29295, 106613, 59739, 107294, 106824, 71493, 32131, 99959, 29295, 103424, 115737, 107462, 47884, 100909, 36785, 106046, 76947, 61689, 9174, 102923, 103991, 114475, 107674, 112661, 122756, 104721, 33208, 30512, 121406, 109335, 5486, 107943, 20230, 111108, 102800, 100909, 77181, 124897, 9174, 103359, 111571, 109519, 25333, 109904, 41007, 124905, 116285, 5486, 114225, 58426, 75267, 16556, 104721, 33208, 30512, 121406, 109335, 78183, 111842, 112825, 110904, 105321, 38641, 9174, 72661, 5486, 116900, 20230, 82973, 29295, 106613, 59739, 107294, 106824, 71493, 32131, 99959, 30512, 18904, 109095, 107726, 100481, 47884, 24273, 29295, 124563, 107188, 32149 ]
[ 111108, 87844, 27479, 29295, 45736, 102518, 31431, 54926, 116233, 9174, 99849, 104604, 105110, 5486, 103991, 112919, 23039, 100472, 39880, 107420, 113335, 29295, 109431, 102769, 16556, 100604, 19732, 51330, 104721, 33208, 30512, 121406, 105908, 106084, 100604, 55031, 38641, 9174, 27452, 16556, 112844, 19732, 5486, 108631, 16995, 55031, 102083, 76947, 108631, 64121, 103378, 20230, 108526, 38248, 104, 22398, 56051, 102923, 103991, 30512, 112990, 106116, 75267, 16144, 104721, 33208, 16556, 105721, 78183, 76947, 114732, 105908, 127181, 38641, 9174, 28713, 67016, 20230, 108631, 64121, 20230, 108526, 38248, 104, 22398, 54926, 115789, 27384, 30926, 126529, 119627, 108048, 103378, 117084, 114732, 19732, 5486, 108056, 114267, 108134, 30512, 98499, 64121, 18655, 110615, 105908, 101182, 116233, 9174, 103991, 30046, 20230, 32018, 62004, 110071, 104468, 106116, 121648, 103826, 16144, 71493, 32131, 99959, 29295, 104405, 95604, 121894, 26854, 104865, 11571, 30512, 98499, 64121, 18655, 30369, 48634, 38641, 9174, 77693, 29295, 106084, 30369, 101200, 117084, 47884, 104533, 5486, 109683, 19732, 39880, 107420, 113335, 41007, 29295, 105184, 80195, 54926, 105879, 5486, 121410, 9080, 101682, 105784, 109215, 32977, 123733, 76947, 109749, 16144, 38641, 9174, 567, 32386, 121, 103991, 16144, 22656, 105284, 15682, 117401, 19732, 112361, 198, 102923, 103991, 102677, 104468, 5486, 108285, 16995, 115552, 16556, 95604, 19732, 117401, 38641, 9174, 37026, 102404, 109904, 117401, 102677, 126036, 5486, 101682, 91875, 109904, 117401, 115717, 33541, 29295, 115847, 32977, 80195, 105647, 26854, 117401, 115717, 33541, 9174, 16995, 126910, 117401, 29295, 71493, 32131, 99959, 20230, 126521, 19732, 78244, 114598, 5486, 121410, 9080, 71289, 104533, 116900, 8239, 114503, 115717, 33541, 9174, 91062, 62903, 91062, 62903, 26854, 71493, 32131, 99959, 114792, 59739, 103672, 103857, 91482, 114615, 115350, 16556, 30813, 58942, 5486, 111299, 20230, 25963, 56040, 34617, 9080, 15682, 59614, 101860, 105677, 113598, 30512, 17701, 106824, 61689, 123405, 103171, 20230, 91062, 62903, 91062, 62903, 26854, 17792, 105459, 16556, 30813, 58942, 5486, 121410, 9080, 20251, 44971, 118928, 94550, 30512, 71289, 103836, 113334, 126194, 5486, 105677, 113598, 54926, 120266, 123457, 26130, 104699, 16144, 38641, 9174, 102131, 113727, 104533, 5486, 121410, 9080, 117401, 123410, 109335, 32149, 58942, 76947, 71493, 32131, 99959, 20230, 116900, 8239, 114503, 108176, 105908, 101182, 116233, 9174, 85701, 15682, 102923, 103991, 32977, 112361, 36785, 106046, 76947, 61689, 9174, 67645, 103171, 20230, 126521, 102923, 103991, 114475, 76622, 100481, 111243, 123334, 31431, 103188, 105557, 104984, 103424, 47884, 100604, 113702, 32977, 21990, 64121, 126172, 16995, 116233, 101832, 31195, 198, 567, 121655, 15024, 5486, 121410, 9080, 102923, 103991, 114475, 105784, 104466, 117952, 103468, 33503, 31195, 198, 103991, 30046, 20230, 108056, 19732, 114667, 30512, 104655, 102532, 64121, 17129, 109954, 106609, 110241, 36896, 126521, 121894, 30512, 23706, 244, 109669, 105784, 103846, 38641, 76864, 71289, 13177, 56829, 107, 41832, 107, 117940, 30358, 111571, 26854, 105879, 31195, 10646, 19732, 117952, 103468, 33503, 5486, 120065, 113727, 74245, 120837, 103424, 118544, 110241, 33121, 107515, 9174, 114516, 16144, 18904, 109095, 48634, 15682, 107943, 20230, 110631, 16995, 102944, 77181, 124897, 15024, 5486, 106649, 117232, 16144, 102923, 103991, 121142, 124500, 30369, 108680, 112825, 110904, 26854, 102944, 72661, 124897, 9174, 32977, 43514, 85791, 25827, 5486, 56965, 30512, 35894, 76622, 120195, 30369, 104468, 103424, 47884, 100604, 119627, 5486, 67645, 103171, 20230, 50520, 108, 107436, 32977, 20713, 111299, 56965, 113314, 29295, 102832, 71634, 36785, 106046, 76947, 61689, 9174, 30591, 47884, 17129, 72661, 112418, 26854, 111331, 113727, 24273, 26854, 105879, 37087, 38144, 77181, 124897, 29295, 117119, 116421, 107461, 52414, 101983, 104984, 106515, 16995, 38641, 34910, 6440, 340, 2, 127541, 105242, 198, 121410, 9080, 102923, 103991, 114475, 105784, 109215, 120937, 119150, 9174, 108895, 16995, 100472, 110229, 112130, 101832, 106609, 49691, 231, 102131, 20230, 102181, 102532, 50834, 79721, 29295, 5486, 112418, 116907, 32977, 112185, 112185, 39442, 109809, 30046, 38641, 92193, 23954, 105994, 30512, 120544, 109315, 103846, 105352, 102181, 102334, 105494, 29295, 127181, 105879, 115847, 55031, 32977, 102097, 103130, 56051, 16995, 106046, 61689, 7, 100538, 11972, 100538, 340, 33334, 106483, 16995, 80988, 239, 105714, 31431, 17129, 109954, 32351, 198, 79, 516, 13, 85997, 94923, 16144, 108134, 15682, 5486, 117896, 55031, 48154, 111182, 101983, 33121, 33541, 106609, 827, 83639, 17039, 77219, 555, 122266, 109, 40526, 96622, 115, 50211, 320, 37087, 38144, 91774, 30369, 340, 12, 45631, 82973, 119703, 31195, 10646, 102677, 17792, 108680, 5486, 103293, 16144, 119049, 20251, 44971, 29295, 90962, 22398, 22398, 39850, 11571, 482, 220, 679, 23, 8107, 23, 9953, 17, 9080, 198, 12, 116804, 109, 16325, 111571, 103359, 105226, 15682, 53610, 17620, 103378, 77181, 102780, 31431, 100604, 11571, 109298, 109298, 32977, 57326, 112718, 72342, 57980, 6447, 482, 220, 679, 23, 8107, 22, 9953, 1187, 9080, 198, 12, 91576, 103, 37046, 30512, 21105, 103, 16995, 71493, 32131, 99959, 126694, 30369, 105110, 5486, 91482, 47307, 101198, 16073, 35, 30512, 99046, 224, 18655, 17663, 125231, 11571, 482, 220, 679, 23, 8107, 22, 9953, 605, 9080, 198, 7058, 123628, 77219, 198, 14711, 106369, 101083, 87177, 101983, 103836, 71493, 111661, 16144, 112073, 98369, 19732, 115320, 64121, 38093, 103351, 87177, 220, 679, 23, 13, 2437, 13, 2545, 198, 33671, 16144, 77219, 198, 14711, 106555, 32131, 99959, 125030, 76947, 107908, 47260, 64178, 15682, 71289, 112043, 31431, 103424, 47884, 100604, 106046, 100472, 87177, 220, 679, 23, 13, 2437, 13, 1032, 128001, 128000, 20834, 105586, 5232, 76739, 62903, 116229, 198, 104443, 107086, 72099, 123524, 47095, 23530, 16556, 5486, 23530, 32943, 117083, 111817, 104272, 55031, 972, 97049, 16144, 117734, 21990, 29295, 107850, 102802, 104989, 31431, 37026, 108055, 123410, 102677, 58721, 29295, 102404, 21990, 121256, 9174, 37271, 18904, 15682, 5486, 123524, 47095, 23530, 16556, 107850, 102802, 104989, 31431, 37026, 108055, 126198, 102677, 972, 97049, 16144, 117734, 21990, 16144, 108134, 71289, 5486, 120613, 71289, 105791, 115240, 116898, 100204, 62004, 16144, 19361, 43568, 104309, 109853, 117598, 76947, 115226, 106046, 61689, 9174, 567, 111092, 104, 47095, 23530, 107850, 102802, 104989, 31431, 37026, 108055, 16144, 107963, 31634, 198, 101365, 109076, 116491, 102750, 29220, 71634, 43511, 5486, 39850, 125380, 102208, 91077, 29295, 88852, 120950, 118331, 61398, 30512, 78943, 100204, 5486, 87177, 104482, 104856, 76947, 61689, 9174, 25963, 46702, 9080, 37656, 35424, 48154, 85791, 5486, 104443, 107086, 72099, 123524, 47095, 23530, 32943, 117083, 125658, 126783, 16144, 76739, 52414, 119930, 105494, 16144, 102571, 102831, 20230, 110371, 126783, 20230, 101987, 104004, 118374, 117734, 21990, 10110, 20713, 66115, 7705, 29295, 105987, 115032, 16144, 30512, 80866, 19012, 225, 102351, 16144, 123737, 29295, 91774, 59739, 107674, 1811, 32335, 17905, 106090, 16144, 20713, 46702, 106090, 33035, 47095, 20230, 21990, 107263, 16144, 21688, 112, 110162, 81219, 25827, 115991, 5486, 72099, 104970, 117831, 118368, 113112, 15682, 107850, 102802, 104989, 31431, 28713, 125396, 29295, 126574, 19732, 64121, 38144, 104873, 103854, 100934, 1811, 21990, 107263, 15682, 37087, 96356, 30512, 104195, 47884, 76537, 43514, 5486, 127651, 37705, 61826, 16144, 122412, 16556, 121993, 29295, 114140, 103646, 9174, 42016, 113112, 71289, 116690, 30046, 103732, 104533, 5486, 21990, 107263, 15682, 23530, 123727, 72099, 80195, 45736, 34617, 8107, 21990, 1811, 25963, 46702, 9080, 15682, 104575, 16144, 105721, 101275, 29430, 117158, 105350, 15024, 5486, 35424, 25580, 20713, 20713, 39177, 48154, 85791, 20230, 17297, 101467, 56051, 102677, 1811, 126783, 76739, 52414, 119930, 30512, 121640, 5486, 37026, 110362, 105755, 17905, 106090, 16144, 20713, 46702, 106090, 103296, 115442, 30369, 103826, 45829, 29295, 76739, 44971, 102832, 108337, 115247, 103181, 109373, 71493, 127194, 20230, 61304, 108565, 84389, 101732, 9174, 104575, 15682, 42016, 113112, 20230, 13177, 103572, 38574, 19732, 124500, 100472, 103826, 124863, 104435, 66383, 122984, 103792, 102677, 9174, 20834, 105586, 5232, 101365, 109076, 116491, 102750, 29220, 71634, 198, 567, 111092, 104, 47095, 23530, 16556, 118374, 117734, 21990, 29295, 107850, 102802, 104989, 31431, 37026, 108055, 126198, 102321, 75267, 15682, 116414, 95532, 77181, 5486, 123524, 47095, 23530, 16556, 118374, 117734, 21990, 29295, 107850, 102802, 104989, 31431, 37026, 108055, 126198, 102321, 75267, 15682, 112160, 33014, 116414, 103351, 105879, 109954, 32149, 95532, 78943, 45893, 101513, 97518, 16144, 125053, 103732, 104984, 5486, 118374, 117734, 21990, 29295, 107850, 102802, 104989, 31431, 37026, 108055, 126198, 102321, 75267, 15682, 5486, 104443, 107086, 72099, 123524, 47095, 23530, 9554, 83799, 102865, 9554, 83799, 117083, 975, 106090, 26892, 38144, 111817, 104272, 103195, 102677, 100909, 38641, 9174, 104443, 107086, 72099, 123524, 47095, 23530, 9554, 83799, 102865, 9554, 83799, 117083, 975, 106090, 26892, 38144, 16144, 111817, 104272, 15682, 5486, 104443, 107086, 72099, 123524, 47095, 23530, 9554, 83799, 102865, 9554, 83799, 11242, 23, 12, 16, 117083, 36896, 60868, 115695, 103906, 48552, 9554, 83799, 66383, 95604, 111817, 104272, 67016, 109638, 40265, 103801, 72342, 25827, 9174, 85701, 30512, 21601, 103868, 112990, 108948, 27929, 124749, 102321, 75267, 15682, 36896, 60868, 115695, 103906, 48552, 9554, 83799, 66383, 95604, 111817, 104272, 103195, 106046, 61689, 9174, 58911, 107873, 101721, 109673, 9554, 83799, 103449, 55031, 59563, 20230, 17, 16400, 108680, 102149, 100472, 116245, 116787, 5486, 47000, 60358, 102052, 123524, 47095, 23530, 80195, 9554, 83799, 31809, 104575, 104309, 32977, 37795, 96, 30177, 54926, 119208, 103195, 102677, 100909, 38641, 9174, 567, 111092, 104, 47095, 23530, 16556, 107850, 102802, 104989, 31431, 37026, 108055, 126198, 118374, 117734, 21990, 15682, 112832, 11571, 120613, 71289, 105791, 115240, 15682, 106053, 31958, 103792, 95532, 77181, 5486, 123524, 47095, 23530, 16556, 107850, 102802, 104989, 31431, 37026, 108055, 126198, 102677, 118374, 117734, 21990, 15682, 15120, 33014, 112832, 103351, 105879, 109954, 32149, 95532, 78943, 45893, 101513, 97518, 16144, 125053, 103732, 104984, 110371, 126783, 20230, 101987, 104004, 972, 97049, 16144, 118374, 117734, 21990, 116787, 5486, 23530, 123727, 117734, 20230, 33035, 103836, 102677, 100909, 38641, 9174, 67016, 21105, 103, 29295, 33503, 5486, 972, 97049, 102677, 39442, 13153, 8107, 103195, 102677, 28542, 19732, 5486, 107850, 102802, 104989, 31431, 37026, 108055, 102677, 113714, 57207, 103906, 52884, 26854, 44915, 103195, 113009, 5486, 78943, 45893, 101513, 97518, 77181, 5486, 120613, 71289, 105791, 115240, 16144, 121298, 30512, 126020, 107515, 9174, 110924, 16556, 110371, 972, 97049, 16144, 118374, 117734, 21990, 114556, 39926, 5486, 104873, 103854, 30512, 103130, 107436, 64121, 28713, 16144, 119627, 5486, 117896, 114556, 39926, 15682, 50520, 111, 102800, 108134, 15682, 17701, 76947, 108086, 107515, 105879, 5486, 17620, 107277, 33671, 30537, 104862, 61304, 78434, 9174, 567, 111092, 104, 47095, 23530, 16556, 37026, 108055, 126198, 118374, 117734, 21990, 16144, 107850, 102802, 104989, 111331, 114667, 15682, 11571, 16995, 100204, 62004, 15682, 105693, 95532, 77181, 124563, 112371, 51330, 118374, 117734, 21990, 15682, 107850, 102802, 104989, 31431, 37026, 108055, 30512, 39926, 114604, 105879, 109954, 32149, 95532, 679, 24, 8107, 717, 9953, 1187, 9080, 15682, 108936, 9554, 102052, 107167, 124131, 22398, 9458, 25197, 52884, 102677, 117816, 43514, 126529, 119627, 5486, 104575, 16144, 105721, 101275, 29430, 115287, 102677, 118733, 5486, 48154, 47884, 110219, 16144, 107328, 27479, 103351, 117840, 9174, 67016, 21105, 103, 29295, 33503, 110371, 37026, 108055, 126198, 102677, 118374, 117734, 21990, 15682, 105721, 101275, 29430, 29295, 105721, 35287, 56051, 74245, 123090, 107850, 102802, 104989, 31431, 37026, 108055, 30512, 126020, 33541, 9174, 85701, 55031, 107167, 124131, 22398, 5486, 8107, 106968, 8107, 27704, 108948, 37656, 9953, 104309, 5486, 113786, 105677, 64121, 103306, 112366, 16144, 25197, 102832, 52414, 29295, 75293, 103836, 39177, 23538, 103195, 15120, 24273, 5486, 117734, 18, 8107, 21990, 125030, 76947, 15682, 5486, 101682, 111186, 53508, 231, 104195, 29295, 107129, 103496, 30512, 70141, 105784, 39177, 23538, 72661, 57903, 5486, 16, 9953, 20230, 103851, 105262, 120690, 106081, 111186, 121254, 107441, 5486, 105677, 104004, 88399, 229, 32977, 103470, 53508, 231, 104195, 20230, 76537, 43514, 104526, 17129, 103470, 38144, 112987, 76622, 107515, 9174, 17792, 21990, 30512, 101544, 16995, 30832, 16556, 91774, 30369, 105879, 30591, 104984, 5486, 16, 8107, 56965, 120264, 53508, 231, 104195, 20230, 76537, 43514, 104526, 104004, 39177, 23538, 29295, 30591, 114598, 104712, 107118, 91763, 61689, 29295, 5486, 115200, 117714, 32977, 30926, 103350, 38641, 9174, 108895, 56051, 106592, 113727, 104533, 5486, 101682, 111186, 16144, 71634, 108744, 55031, 87447, 54322, 103646, 16995, 102677, 114667, 32977, 105693, 104865, 110241, 33121, 107515, 9174, 53900, 5486, 104575, 110366, 16556, 16995, 100204, 62004, 102204, 101732, 123160, 114667, 32977, 113727, 102204, 33541, 29295, 5486, 679, 24, 8107, 806, 9953, 20230, 102404, 21990, 56051, 115581, 112, 115933, 117734, 16144, 107850, 102802, 104989, 31431, 37026, 108055, 58721, 121960, 15682, 5486, 88852, 120950, 105908, 117952, 106824, 108086, 79721, 105879, 5486, 32977, 67016, 126693, 115515, 18904, 16144, 123524, 47095, 16144, 107850, 102802, 104989, 31431, 37026, 108055, 32977, 13177, 113116, 109904, 48249, 98220, 111848, 102944, 10646, 103351, 104865, 110241, 33121, 107515, 9174, 42016, 101467, 16144, 9554, 75267, 112163, 109461, 101467, 101544, 103732, 104533, 5486, 117039, 55999, 19361, 39880, 115507, 13177, 76171, 105335, 111134, 91062, 10646, 102052, 13177, 16995, 100204, 62004, 32977, 118006, 109904, 109606, 32977, 103470, 5486, 105994, 29295, 17620, 55031, 123733, 76947, 5486, 113116, 112535, 48249, 98220, 29295, 105898, 10646, 104309, 19732, 102181, 50834, 104526, 123606, 101732, 102677, 9174, 20834, 105586, 5232, 119046, 118597, 198, 567, 59363, 50834, 100481, 104984, 107202, 102800, 115789, 101182, 198, 6271, 237, 100927, 125523, 102334, 19732, 107001, 87447, 111656, 16144, 52884, 26269, 99959, 10110, 33334, 13393, 230, 10287, 99, 103826, 119735, 5486, 107202, 21105, 123, 55031, 87447, 54322, 107001, 103846, 102052, 67645, 119775, 127564, 126521, 104865, 11571, 102677, 106592, 108323, 102532, 33334, 102204, 33541, 9174, 6271 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 111108, 87844, 27479, 29295, 45736, 102518, 31431, 54926, 116233, 9174, 99849, 104604, 105110, 5486, 103991, 112919, 23039, 100472, 39880, 107420, 113335, 29295, 109431, 102769, 16556, 100604, 19732, 51330, 104721, 33208, 30512, 121406, 105908, 106084, 100604, 55031, 38641, 9174, 27452, 16556, 112844, 19732, 5486, 108631, 16995, 55031, 102083, 76947, 108631, 64121, 103378, 20230, 108526, 38248, 104, 22398, 56051, 102923, 103991, 30512, 112990, 106116, 75267, 16144, 104721, 33208, 16556, 105721, 78183, 76947, 114732, 105908, 127181, 38641, 9174, 28713, 67016, 20230, 108631, 64121, 20230, 108526, 38248, 104, 22398, 54926, 115789, 27384, 30926, 126529, 119627, 108048, 103378, 117084, 114732, 19732, 5486, 108056, 114267, 108134, 30512, 98499, 64121, 18655, 110615, 105908, 101182, 116233, 9174, 103991, 30046, 20230, 32018, 62004, 110071, 104468, 106116, 121648, 103826, 16144, 71493, 32131, 99959, 29295, 104405, 95604, 121894, 26854, 104865, 11571, 30512, 98499, 64121, 18655, 30369, 48634, 38641, 9174, 77693, 29295, 106084, 30369, 101200, 117084, 47884, 104533, 5486, 109683, 19732, 39880, 107420, 113335, 41007, 29295, 105184, 80195, 54926, 105879, 5486, 121410, 9080, 101682, 105784, 109215, 32977, 123733, 76947, 109749, 16144, 38641, 9174, 567, 32386, 121, 103991, 16144, 22656, 105284, 15682, 117401, 19732, 112361, 198, 102923, 103991, 102677, 104468, 5486, 108285, 16995, 115552, 16556, 95604, 19732, 117401, 38641, 9174, 37026, 102404, 109904, 117401, 102677, 126036, 5486, 101682, 91875, 109904, 117401, 115717, 33541, 29295, 115847, 32977, 80195, 105647, 26854, 117401, 115717, 33541, 9174, 16995, 126910, 117401, 29295, 71493, 32131, 99959, 20230, 126521, 19732, 78244, 114598, 5486, 121410, 9080, 71289, 104533, 116900, 8239, 114503, 115717, 33541, 9174, 91062, 62903, 91062, 62903, 26854, 71493, 32131, 99959, 114792, 59739, 103672, 103857, 91482, 114615, 115350, 16556, 30813, 58942, 5486, 111299, 20230, 25963, 56040, 34617, 9080, 15682, 59614, 101860, 105677, 113598, 30512, 17701, 106824, 61689, 123405, 103171, 20230, 91062, 62903, 91062, 62903, 26854, 17792, 105459, 16556, 30813, 58942, 5486, 121410, 9080, 20251, 44971, 118928, 94550, 30512, 71289, 103836, 113334, 126194, 5486, 105677, 113598, 54926, 120266, 123457, 26130, 104699, 16144, 38641, 9174, 102131, 113727, 104533, 5486, 121410, 9080, 117401, 123410, 109335, 32149, 58942, 76947, 71493, 32131, 99959, 20230, 116900, 8239, 114503, 108176, 105908, 101182, 116233, 9174, 85701, 15682, 102923, 103991, 32977, 112361, 36785, 106046, 76947, 61689, 9174, 67645, 103171, 20230, 126521, 102923, 103991, 114475, 76622, 100481, 111243, 123334, 31431, 103188, 105557, 104984, 103424, 47884, 100604, 113702, 32977, 21990, 64121, 126172, 16995, 116233, 101832, 31195, 198, 567, 121655, 15024, 5486, 121410, 9080, 102923, 103991, 114475, 105784, 104466, 117952, 103468, 33503, 31195, 198, 103991, 30046, 20230, 108056, 19732, 114667, 30512, 104655, 102532, 64121, 17129, 109954, 106609, 110241, 36896, 126521, 121894, 30512, 23706, 244, 109669, 105784, 103846, 38641, 76864, 71289, 13177, 56829, 107, 41832, 107, 117940, 30358, 111571, 26854, 105879, 31195, 10646, 19732, 117952, 103468, 33503, 5486, 120065, 113727, 74245, 120837, 103424, 118544, 110241, 33121, 107515, 9174, 114516, 16144, 18904, 109095, 48634, 15682, 107943, 20230, 110631, 16995, 102944, 77181, 124897, 15024, 5486, 106649, 117232, 16144, 102923, 103991, 121142, 124500, 30369, 108680, 112825, 110904, 26854, 102944, 72661, 124897, 9174, 32977, 43514, 85791, 25827, 5486, 56965, 30512, 35894, 76622, 120195, 30369, 104468, 103424, 47884, 100604, 119627, 5486, 67645, 103171, 20230, 50520, 108, 107436, 32977, 20713, 111299, 56965, 113314, 29295, 102832, 71634, 36785, 106046, 76947, 61689, 9174, 30591, 47884, 17129, 72661, 112418, 26854, 111331, 113727, 24273, 26854, 105879, 37087, 38144, 77181, 124897, 29295, 117119, 116421, 107461, 52414, 101983, 104984, 106515, 16995, 38641, 34910, 6440, 340, 2, 127541, 105242, 198, 121410, 9080, 102923, 103991, 114475, 105784, 109215, 120937, 119150, 9174, 108895, 16995, 100472, 110229, 112130, 101832, 106609, 49691, 231, 102131, 20230, 102181, 102532, 50834, 79721, 29295, 5486, 112418, 116907, 32977, 112185, 112185, 39442, 109809, 30046, 38641, 92193, 23954, 105994, 30512, 120544, 109315, 103846, 105352, 102181, 102334, 105494, 29295, 127181, 105879, 115847, 55031, 32977, 102097, 103130, 56051, 16995, 106046, 61689, 7, 100538, 11972, 100538, 340, 33334, 106483, 16995, 80988, 239, 105714, 31431, 17129, 109954, 32351, 198, 79, 516, 13, 85997, 94923, 16144, 108134, 15682, 5486, 117896, 55031, 48154, 111182, 101983, 33121, 33541, 106609, 827, 83639, 17039, 77219, 555, 122266, 109, 40526, 96622, 115, 50211, 320, 37087, 38144, 91774, 30369, 340, 12, 45631, 82973, 119703, 31195, 10646, 102677, 17792, 108680, 5486, 103293, 16144, 119049, 20251, 44971, 29295, 90962, 22398, 22398, 39850, 11571, 482, 220, 679, 23, 8107, 23, 9953, 17, 9080, 198, 12, 116804, 109, 16325, 111571, 103359, 105226, 15682, 53610, 17620, 103378, 77181, 102780, 31431, 100604, 11571, 109298, 109298, 32977, 57326, 112718, 72342, 57980, 6447, 482, 220, 679, 23, 8107, 22, 9953, 1187, 9080, 198, 12, 91576, 103, 37046, 30512, 21105, 103, 16995, 71493, 32131, 99959, 126694, 30369, 105110, 5486, 91482, 47307, 101198, 16073, 35, 30512, 99046, 224, 18655, 17663, 125231, 11571, 482, 220, 679, 23, 8107, 22, 9953, 605, 9080, 198, 7058, 123628, 77219, 198, 14711, 106369, 101083, 87177, 101983, 103836, 71493, 111661, 16144, 112073, 98369, 19732, 115320, 64121, 38093, 103351, 87177, 220, 679, 23, 13, 2437, 13, 2545, 198, 33671, 16144, 77219, 198, 14711, 106555, 32131, 99959, 125030, 76947, 107908, 47260, 64178, 15682, 71289, 112043, 31431, 103424, 47884, 100604, 106046, 100472, 87177, 220, 679, 23, 13, 2437, 13, 1032, 128001, 128000, 20834, 105586, 5232, 76739, 62903, 116229, 198, 104443, 107086, 72099, 123524, 47095, 23530, 16556, 5486, 23530, 32943, 117083, 111817, 104272, 55031, 972, 97049, 16144, 117734, 21990, 29295, 107850, 102802, 104989, 31431, 37026, 108055, 123410, 102677, 58721, 29295, 102404, 21990, 121256, 9174, 37271, 18904, 15682, 5486, 123524, 47095, 23530, 16556, 107850, 102802, 104989, 31431, 37026, 108055, 126198, 102677, 972, 97049, 16144, 117734, 21990, 16144, 108134, 71289, 5486, 120613, 71289, 105791, 115240, 116898, 100204, 62004, 16144, 19361, 43568, 104309, 109853, 117598, 76947, 115226, 106046, 61689, 9174, 567, 111092, 104, 47095, 23530, 107850, 102802, 104989, 31431, 37026, 108055, 16144, 107963, 31634, 198, 101365, 109076, 116491, 102750, 29220, 71634, 43511, 5486, 39850, 125380, 102208, 91077, 29295, 88852, 120950, 118331, 61398, 30512, 78943, 100204, 5486, 87177, 104482, 104856, 76947, 61689, 9174, 25963, 46702, 9080, 37656, 35424, 48154, 85791, 5486, 104443, 107086, 72099, 123524, 47095, 23530, 32943, 117083, 125658, 126783, 16144, 76739, 52414, 119930, 105494, 16144, 102571, 102831, 20230, 110371, 126783, 20230, 101987, 104004, 118374, 117734, 21990, 10110, 20713, 66115, 7705, 29295, 105987, 115032, 16144, 30512, 80866, 19012, 225, 102351, 16144, 123737, 29295, 91774, 59739, 107674, 1811, 32335, 17905, 106090, 16144, 20713, 46702, 106090, 33035, 47095, 20230, 21990, 107263, 16144, 21688, 112, 110162, 81219, 25827, 115991, 5486, 72099, 104970, 117831, 118368, 113112, 15682, 107850, 102802, 104989, 31431, 28713, 125396, 29295, 126574, 19732, 64121, 38144, 104873, 103854, 100934, 1811, 21990, 107263, 15682, 37087, 96356, 30512, 104195, 47884, 76537, 43514, 5486, 127651, 37705, 61826, 16144, 122412, 16556, 121993, 29295, 114140, 103646, 9174, 42016, 113112, 71289, 116690, 30046, 103732, 104533, 5486, 21990, 107263, 15682, 23530, 123727, 72099, 80195, 45736, 34617, 8107, 21990, 1811, 25963, 46702, 9080, 15682, 104575, 16144, 105721, 101275, 29430, 117158, 105350, 15024, 5486, 35424, 25580, 20713, 20713, 39177, 48154, 85791, 20230, 17297, 101467, 56051, 102677, 1811, 126783, 76739, 52414, 119930, 30512, 121640, 5486, 37026, 110362, 105755, 17905, 106090, 16144, 20713, 46702, 106090, 103296, 115442, 30369, 103826, 45829, 29295, 76739, 44971, 102832, 108337, 115247, 103181, 109373, 71493, 127194, 20230, 61304, 108565, 84389, 101732, 9174, 104575, 15682, 42016, 113112, 20230, 13177, 103572, 38574, 19732, 124500, 100472, 103826, 124863, 104435, 66383, 122984, 103792, 102677, 9174, 20834, 105586, 5232, 101365, 109076, 116491, 102750, 29220, 71634, 198, 567, 111092, 104, 47095, 23530, 16556, 118374, 117734, 21990, 29295, 107850, 102802, 104989, 31431, 37026, 108055, 126198, 102321, 75267, 15682, 116414, 95532, 77181, 5486, 123524, 47095, 23530, 16556, 118374, 117734, 21990, 29295, 107850, 102802, 104989, 31431, 37026, 108055, 126198, 102321, 75267, 15682, 112160, 33014, 116414, 103351, 105879, 109954, 32149, 95532, 78943, 45893, 101513, 97518, 16144, 125053, 103732, 104984, 5486, 118374, 117734, 21990, 29295, 107850, 102802, 104989, 31431, 37026, 108055, 126198, 102321, 75267, 15682, 5486, 104443, 107086, 72099, 123524, 47095, 23530, 9554, 83799, 102865, 9554, 83799, 117083, 975, 106090, 26892, 38144, 111817, 104272, 103195, 102677, 100909, 38641, 9174, 104443, 107086, 72099, 123524, 47095, 23530, 9554, 83799, 102865, 9554, 83799, 117083, 975, 106090, 26892, 38144, 16144, 111817, 104272, 15682, 5486, 104443, 107086, 72099, 123524, 47095, 23530, 9554, 83799, 102865, 9554, 83799, 11242, 23, 12, 16, 117083, 36896, 60868, 115695, 103906, 48552, 9554, 83799, 66383, 95604, 111817, 104272, 67016, 109638, 40265, 103801, 72342, 25827, 9174, 85701, 30512, 21601, 103868, 112990, 108948, 27929, 124749, 102321, 75267, 15682, 36896, 60868, 115695, 103906, 48552, 9554, 83799, 66383, 95604, 111817, 104272, 103195, 106046, 61689, 9174, 58911, 107873, 101721, 109673, 9554, 83799, 103449, 55031, 59563, 20230, 17, 16400, 108680, 102149, 100472, 116245, 116787, 5486, 47000, 60358, 102052, 123524, 47095, 23530, 80195, 9554, 83799, 31809, 104575, 104309, 32977, 37795, 96, 30177, 54926, 119208, 103195, 102677, 100909, 38641, 9174, 567, 111092, 104, 47095, 23530, 16556, 107850, 102802, 104989, 31431, 37026, 108055, 126198, 118374, 117734, 21990, 15682, 112832, 11571, 120613, 71289, 105791, 115240, 15682, 106053, 31958, 103792, 95532, 77181, 5486, 123524, 47095, 23530, 16556, 107850, 102802, 104989, 31431, 37026, 108055, 126198, 102677, 118374, 117734, 21990, 15682, 15120, 33014, 112832, 103351, 105879, 109954, 32149, 95532, 78943, 45893, 101513, 97518, 16144, 125053, 103732, 104984, 110371, 126783, 20230, 101987, 104004, 972, 97049, 16144, 118374, 117734, 21990, 116787, 5486, 23530, 123727, 117734, 20230, 33035, 103836, 102677, 100909, 38641, 9174, 67016, 21105, 103, 29295, 33503, 5486, 972, 97049, 102677, 39442, 13153, 8107, 103195, 102677, 28542, 19732, 5486, 107850, 102802, 104989, 31431, 37026, 108055, 102677, 113714, 57207, 103906, 52884, 26854, 44915, 103195, 113009, 5486, 78943, 45893, 101513, 97518, 77181, 5486, 120613, 71289, 105791, 115240, 16144, 121298, 30512, 126020, 107515, 9174, 110924, 16556, 110371, 972, 97049, 16144, 118374, 117734, 21990, 114556, 39926, 5486, 104873, 103854, 30512, 103130, 107436, 64121, 28713, 16144, 119627, 5486, 117896, 114556, 39926, 15682, 50520, 111, 102800, 108134, 15682, 17701, 76947, 108086, 107515, 105879, 5486, 17620, 107277, 33671, 30537, 104862, 61304, 78434, 9174, 567, 111092, 104, 47095, 23530, 16556, 37026, 108055, 126198, 118374, 117734, 21990, 16144, 107850, 102802, 104989, 111331, 114667, 15682, 11571, 16995, 100204, 62004, 15682, 105693, 95532, 77181, 124563, 112371, 51330, 118374, 117734, 21990, 15682, 107850, 102802, 104989, 31431, 37026, 108055, 30512, 39926, 114604, 105879, 109954, 32149, 95532, 679, 24, 8107, 717, 9953, 1187, 9080, 15682, 108936, 9554, 102052, 107167, 124131, 22398, 9458, 25197, 52884, 102677, 117816, 43514, 126529, 119627, 5486, 104575, 16144, 105721, 101275, 29430, 115287, 102677, 118733, 5486, 48154, 47884, 110219, 16144, 107328, 27479, 103351, 117840, 9174, 67016, 21105, 103, 29295, 33503, 110371, 37026, 108055, 126198, 102677, 118374, 117734, 21990, 15682, 105721, 101275, 29430, 29295, 105721, 35287, 56051, 74245, 123090, 107850, 102802, 104989, 31431, 37026, 108055, 30512, 126020, 33541, 9174, 85701, 55031, 107167, 124131, 22398, 5486, 8107, 106968, 8107, 27704, 108948, 37656, 9953, 104309, 5486, 113786, 105677, 64121, 103306, 112366, 16144, 25197, 102832, 52414, 29295, 75293, 103836, 39177, 23538, 103195, 15120, 24273, 5486, 117734, 18, 8107, 21990, 125030, 76947, 15682, 5486, 101682, 111186, 53508, 231, 104195, 29295, 107129, 103496, 30512, 70141, 105784, 39177, 23538, 72661, 57903, 5486, 16, 9953, 20230, 103851, 105262, 120690, 106081, 111186, 121254, 107441, 5486, 105677, 104004, 88399, 229, 32977, 103470, 53508, 231, 104195, 20230, 76537, 43514, 104526, 17129, 103470, 38144, 112987, 76622, 107515, 9174, 17792, 21990, 30512, 101544, 16995, 30832, 16556, 91774, 30369, 105879, 30591, 104984, 5486, 16, 8107, 56965, 120264, 53508, 231, 104195, 20230, 76537, 43514, 104526, 104004, 39177, 23538, 29295, 30591, 114598, 104712, 107118, 91763, 61689, 29295, 5486, 115200, 117714, 32977, 30926, 103350, 38641, 9174, 108895, 56051, 106592, 113727, 104533, 5486, 101682, 111186, 16144, 71634, 108744, 55031, 87447, 54322, 103646, 16995, 102677, 114667, 32977, 105693, 104865, 110241, 33121, 107515, 9174, 53900, 5486, 104575, 110366, 16556, 16995, 100204, 62004, 102204, 101732, 123160, 114667, 32977, 113727, 102204, 33541, 29295, 5486, 679, 24, 8107, 806, 9953, 20230, 102404, 21990, 56051, 115581, 112, 115933, 117734, 16144, 107850, 102802, 104989, 31431, 37026, 108055, 58721, 121960, 15682, 5486, 88852, 120950, 105908, 117952, 106824, 108086, 79721, 105879, 5486, 32977, 67016, 126693, 115515, 18904, 16144, 123524, 47095, 16144, 107850, 102802, 104989, 31431, 37026, 108055, 32977, 13177, 113116, 109904, 48249, 98220, 111848, 102944, 10646, 103351, 104865, 110241, 33121, 107515, 9174, 42016, 101467, 16144, 9554, 75267, 112163, 109461, 101467, 101544, 103732, 104533, 5486, 117039, 55999, 19361, 39880, 115507, 13177, 76171, 105335, 111134, 91062, 10646, 102052, 13177, 16995, 100204, 62004, 32977, 118006, 109904, 109606, 32977, 103470, 5486, 105994, 29295, 17620, 55031, 123733, 76947, 5486, 113116, 112535, 48249, 98220, 29295, 105898, 10646, 104309, 19732, 102181, 50834, 104526, 123606, 101732, 102677, 9174, 20834, 105586, 5232, 119046, 118597, 198, 567, 59363, 50834, 100481, 104984, 107202, 102800, 115789, 101182, 198, 6271, 237, 100927, 125523, 102334, 19732, 107001, 87447, 111656, 16144, 52884, 26269, 99959, 10110, 33334, 13393, 230, 10287, 99, 103826, 119735, 5486, 107202, 21105, 123, 55031, 87447, 54322, 107001, 103846, 102052, 67645, 119775, 127564, 126521, 104865, 11571, 102677, 106592, 108323, 102532, 33334, 102204, 33541, 9174, 6271 ]
[ 237, 100927, 121960, 15682, 13177, 21990, 9458, 92877, 9458, 103429, 9458, 102625, 117503, 51330, 19, 59739, 29295, 5486, 107202, 21105, 123, 16144, 102831, 39084, 103195, 19732, 117952, 106824, 108086, 33541, 9174, 123726, 30369, 100909, 5486, 92877, 107991, 100909, 5486, 103429, 95221, 108176, 100909, 5486, 102625, 112179, 109335, 37087, 38144, 107202, 21105, 123, 103195, 19732, 108323, 119188, 112973, 6271, 237, 100927, 16144, 108729, 22649, 104611, 38641, 9174, 27929, 32977, 27929, 32977, 5486, 123726, 100481, 123207, 5486, 107202, 15024, 104004, 115789, 100604, 102677, 102012, 110993, 16144, 22649, 104611, 116787, 5486, 6271, 237, 100927, 15682, 5486, 107202, 21105, 123, 30512, 33420, 17663, 113009, 116898, 107188, 30369, 23951, 23039, 105352, 113420, 58942, 5486, 125636, 31431, 125523, 47884, 105908, 107693, 103195, 19732, 113727, 124195, 61689, 9174, 80539, 36896, 21990, 9458, 92877, 9458, 103429, 9458, 102625, 117503, 107202, 21105, 123, 16144, 37087, 38144, 16144, 102831, 39084, 103195, 112973, 5486, 101851, 102, 101128, 102, 103195, 19732, 117952, 106824, 108086, 33541, 9174, 123726, 100934, 117591, 20230, 101128, 102, 64121, 71289, 5486, 107202, 21105, 123, 29295, 21990, 17129, 104028, 104468, 5486, 37087, 38144, 101851, 102, 101128, 102, 16144, 72342, 16995, 116787, 108048, 29295, 123296, 102676, 123410, 55031, 5486, 107202, 106624, 109020, 16144, 38641, 9174, 101851, 102, 101128, 102, 107118, 6640, 102159, 101182, 19732, 117952, 115032, 114516, 29295, 24186, 104680, 119100, 19000, 112535, 111654, 54926, 111654, 32018, 16144, 118733, 36896, 33334, 35330, 29295, 111654, 102800, 66383, 32149, 13177, 104712, 101918, 20230, 110498, 31431, 106956, 10646, 36896, 31540, 103926, 16995, 109453, 29295, 111654, 102800, 10646, 36896, 58666, 103868, 102800, 125764, 53953, 29295, 125764, 106956, 10646, 104309, 15682, 37087, 38144, 51330, 101851, 102, 101128, 102, 113468, 46456, 55487, 116216, 108086, 33541, 9174, 567, 104102, 236, 86436, 71289, 120987, 125030, 33503, 78183, 110615, 198, 103188, 86436, 71289, 120987, 125030, 33503, 126832, 19732, 36896, 118116, 39177, 30591, 30297, 95604, 104346, 116446, 33334, 76622, 81219, 57980, 102518, 10646, 71289, 36896, 57933, 71634, 20230, 21388, 113529, 127564, 104405, 119607, 10646, 36896, 37507, 111299, 16144, 118192, 108270, 16073, 126238, 105714, 54926, 26854, 10646, 123160, 114284, 29295, 22957, 64121, 109415, 38144, 50834, 33541, 15024, 108048, 29295, 127408, 71289, 107202, 21105, 123, 20230, 103721, 233, 29295, 30369, 16144, 38641, 9174, 6271, 237, 100927, 16144, 127298, 15682, 5486, 863, 16325, 45893, 863, 102083, 76947, 36896, 99849, 72661, 43514, 107106, 67645, 104712, 106592, 54926, 66383, 95604, 105908, 27384, 102769, 118816, 117952, 106824, 108086, 115515, 16144, 105994, 29295, 104405, 26854, 104865, 11571, 30512, 37026, 99397, 54926, 115789, 109215, 118816, 116216, 108086, 33541, 9174, 85701, 112987, 78183, 106644, 30369, 5486, 6271, 237, 100927, 107809, 16144, 13177, 54656, 227, 66383, 95604, 113727, 24273, 16556, 5486, 27665, 16144, 109832, 101275, 30046, 127674, 109229, 9458, 113909, 52884, 22398, 32977, 99750, 103842, 246, 114475, 107674, 5486, 102491, 47884, 55031, 108044, 78183, 30369, 22649, 104611, 116787, 33541, 9174, 103188, 86436, 71289, 120987, 125030, 33503, 123671, 101860, 115515, 16144, 105994, 30512, 21105, 96, 107277, 19732, 91774, 59739, 109315, 105908, 103082, 104984, 5486, 37026, 101860, 19732, 101128, 102, 64121, 71289, 107202, 21105, 123, 104309, 15682, 33420, 58942, 5486, 37026, 108055, 123410, 105933, 116292, 108740, 15682, 72718, 50834, 100604, 16144, 38641, 9174, 99849, 33121, 116446, 32977, 5486, 109988, 115737, 100472, 118374, 117734, 21990, 102052, 64209, 105755, 5486, 48154, 13828, 98, 103005, 126130, 55228, 230, 31431, 102782, 15024, 109415, 33541, 9174, 567, 103372, 101467, 21990, 111848, 107850, 102802, 104989, 31431, 37026, 108055, 16144, 118331, 61398, 29295, 117896, 128001, 128000, 2, 106555, 96452, 104612, 30512, 118095, 125131, 124545, 41007, 198, 71493, 96452, 104612, 15682, 11881, 242, 55031, 40053, 20230, 114516, 16144, 60358, 47884, 107898, 31431, 117119, 8107, 32977, 99695, 67075, 103306, 165, 36246, 78183, 106824, 61689, 1811, 110589, 32977, 43240, 119064, 114754, 71493, 96452, 104612, 30512, 165, 36246, 76947, 108086, 5486, 117876, 71289, 110999, 103868, 103306, 71493, 96452, 104612, 30512, 118095, 125131, 124545, 17792, 32977, 61689, 9174, 567, 111279, 16556, 71493, 96452, 104612, 30512, 118095, 125131, 124545, 41007, 198, 71493, 96452, 104612, 30512, 118095, 125131, 124545, 103846, 102052, 116898, 47884, 59739, 32149, 38574, 106090, 30512, 119870, 17129, 123207, 16995, 76622, 107515, 9174, 14711, 125867, 78767, 198, 110577, 20230, 116750, 30512, 165, 36246, 103836, 107803, 72661, 111476, 58426, 102663, 78767, 15682, 33334, 27929, 124749, 71493, 96452, 104612, 16144, 118095, 125131, 102052, 70141, 16995, 100481, 107515, 9174, 71493, 96452, 104612, 30512, 118095, 125131, 124545, 102052, 5486, 118095, 125131, 16144, 113009, 115612, 20230, 68408, 126590, 103646, 102944, 29295, 109215, 115717, 33541, 1811, 118095, 125131, 11883, 16144, 102663, 78767, 102052, 5486, 89151, 25827, 126867, 24775, 125174, 71289, 106548, 125174, 29295, 59739, 102532, 61689, 1811, 102131, 54926, 118733, 33334, 106483, 117714, 71174, 15682, 104655, 22957, 107290, 32977, 110783, 15682, 91774, 119841, 127749, 126694, 31431, 33541, 9174, 106548, 125174, 15682, 17, 118821, 80805, 109089, 16556, 106391, 13153, 116216, 108086, 5486, 16, 59739, 15682, 103268, 108950, 31958, 16556, 5486, 108031, 16, 59739, 15682, 35330, 105550, 117084, 61689, 1811, 123090, 109835, 33121, 33541, 29295, 115847, 29295, 71493, 96452, 104612, 16144, 118095, 125131, 20230, 107693, 26854, 107734, 111017, 30512, 28873, 28713, 78434, 9174, 14711, 106555, 96452, 104612, 30512, 102647, 104369, 198, 71493, 96452, 104612, 16144, 123120, 30512, 114652, 106596, 127564, 5486, 103214, 64121, 114146, 106956, 99695, 39880, 30512, 102647, 102802, 17129, 109954, 1811, 111006, 109904, 66378, 17599, 112, 29295, 67645, 120950, 107461, 96452, 29295, 21990, 17129, 104028, 111201, 117375, 54926, 103846, 5486, 102647, 104369, 110018, 15682, 39135, 5486, 58666, 21105, 243, 5486, 83799, 30512, 78698, 101557, 106, 109156, 106824, 102647, 102802, 17129, 109954, 1811, 118095, 125131, 54926, 113173, 29295, 115364, 101399, 32149, 5486, 105525, 30369, 101399, 32149, 113468, 32977, 58426, 103214, 64121, 114146, 16144, 107693, 27479, 29295, 104721, 116547, 33541, 9174, 14711, 105228, 38144, 16144, 107253, 104874, 123410, 198, 17597, 96, 19967, 112586, 109215, 26854, 102944, 30512, 37087, 38144, 21441, 225, 107290, 55031, 5486, 71493, 96452, 104612, 30512, 165, 36246, 30297, 104466, 103801, 109954, 1811, 109215, 26854, 104468, 110698, 53610, 32648, 17, 59739, 5486, 76739, 60868, 74396, 17, 59739, 106116, 43511, 71493, 96452, 104612, 29295, 109215, 26854, 102944, 30512, 17, 101860, 59739, 107691, 16995, 27929, 85791, 58942, 17129, 109954, 9174, 112727, 106824, 112987, 124324, 112973, 5486, 25132, 234, 16144, 124122, 71493, 127764, 103672, 107060, 123160, 115145, 57207, 65299, 91062, 39084, 19732, 107461, 96452, 16144, 124122, 99695, 123167, 38641, 1811, 71493, 96452, 104612, 30512, 165, 36246, 30297, 112772, 37087, 38144, 21441, 225, 105262, 105908, 103082, 127567, 5486, 33671, 15682, 118095, 125131, 16144, 106826, 103830, 104088, 100481, 50834, 17129, 109954, 9174, 14711, 10447, 117, 223, 125131, 30512, 103129, 105784, 198, 127637, 107253, 104874, 29295, 103082, 127567, 5486, 103268, 108950, 31958, 19732, 35330, 105550, 16144, 24775, 102769, 111331, 59739, 102334, 102663, 78767, 16144, 110176, 109054, 45923, 20230, 71493, 96452, 104612, 30512, 125639, 17129, 109954, 119520, 5486, 103268, 108950, 31958, 16144, 102944, 103378, 124905, 114598, 99849, 32977, 109606, 15682, 124897, 122262, 106483, 16995, 104088, 101860, 20230, 71174, 103378, 104655, 105784, 121894, 16556, 5486, 71493, 96452, 104612, 30512, 605, 55031, 868, 9080, 108680, 17620, 107441, 165, 36246, 101662, 103801, 109954, 1811, 108895, 54926, 118733, 108948, 106483, 16995, 111363, 109834, 103868, 114792, 28713, 122101, 105908, 125545, 9174, 51330, 117232, 29295, 105721, 78183, 100472, 33503, 111476, 103268, 108950, 31958, 16144, 24775, 125174, 30512, 108167, 21418, 102532, 35330, 105550, 103378, 20230, 15024, 108948, 106483, 16995, 104088, 105262, 104466, 39926, 122765, 17129, 109954, 1811, 116056, 121894, 16556, 122270, 605, 55031, 868, 9080, 108680, 165, 36246, 101662, 78434, 113637, 122756, 5486, 25132, 234, 20230, 99695, 123167, 30512, 58318, 107290, 101557, 96, 33121, 107726, 17129, 109954, 9174, 14711, 10447, 117, 223, 125131, 16144, 39177, 198, 16, 113746, 127564, 111476, 16995, 57980, 16995, 57980, 24775, 125174, 30512, 19732, 76947, 5486, 71493, 96452, 104612, 30512, 126419, 116446, 122765, 30369, 39177, 38641, 122262, 106483, 16995, 111363, 109834, 103868, 15682, 118095, 125131, 56051, 16995, 119150, 108680, 119448, 115737, 76947, 108086, 5486, 17, 111299, 56965, 108680, 16556, 39209, 107380, 123410, 123253, 1811, 101961, 27479, 39209, 107380, 126198, 33503, 5486, 25132, 234, 29295, 11239, 113, 30512, 106518, 104004, 124122, 17597, 96, 19967, 111331, 101399, 20230, 109215, 26854, 102944, 30512, 58318, 58942, 17129, 109954, 118844, 120577, 120098, 126128, 58942, 104984, 5486, 71493, 96452, 104612, 16144, 118095, 125131, 20230, 109242, 122202, 26854, 109335, 99849, 32977, 124897, 1811, 17905, 61304, 16144, 38574, 106090, 30512, 106613, 104984, 120268, 30813, 26854, 107461, 96452, 29295, 114225, 20230, 122013, 112028, 102351, 108176, 123253, 1811, 128001, 128000, 64780, 74482, 103268, 16144, 122984, 15682, 5486, 111108, 102800, 32149, 110241, 33121, 107515, 198, 57326, 116219, 22398, 25197, 108981, 15682, 5486, 110408, 109768, 104533, 50834, 103378, 103721, 233, 29295, 30369, 22398, 25197, 108981, 38641, 9174, 22398, 25197, 108981, 29295, 110408, 103646, 32149, 104405, 32149, 30512, 71493, 65299, 52414, 54926, 100909, 71289, 5486, 101544, 110408, 15024, 103792, 32149, 104405, 32149, 30512, 122225, 124545, 100909, 104309, 29295, 125545, 9174, 22398, 25197, 108981, 30512, 110408, 103792, 56965, 103378, 127359, 25197, 109713, 16144, 19, 87217, 70563, 16073, 29295, 68759, 25197, 96452, 22398, 20230, 103721, 233, 29295, 31431, 33541, 9174, 19, 87217, 70563, 113883, 112603, 30512, 68759, 25197, 109713, 20230, 82420, 108867, 124545, 118733, 5486, 22398, 25197, 108981, 29295, 110408, 110731, 32149, 110408, 84389, 126386, 32149, 30512, 122225, 125545, 9174, 91300, 50, 64810, 33710, 15682, 5486, 41642, 116310, 16144, 31958, 30369, 30813, 113468, 116875, 108324, 112603, 29295, 104721, 33208, 54926, 34048, 25446, 38641, 9174, 109163, 16995, 110018, 15682, 116875, 108324, 112603, 29295, 119448, 47884, 5486, 31958, 30369, 115737, 104533, 116875, 108324, 112603, 29295, 31809, 30813, 115737, 31431, 33541, 9174, 13177, 109163, 115737, 100472, 33503, 13953, 30512, 28542, 111371, 124545, 66383, 16995, 100472, 57326, 77750, 32131, 91062, 126694, 30369, 105908, 108608, 101200, 115717, 33541, 9174, 91300, 50, 64810, 33710, 15682, 5486, 116875, 108324, 32648, 49, 717, 30512, 106613, 68171, 39926, 57326, 112718, 20230, 103721, 233, 29295, 31431, 5486, 116875, 108324, 32648, 49, 1032, 30512, 106613, 68171, 39926, 68759, 25197, 96452, 22398, 20230, 103721, 233, 29295, 76947, 61689, 9174, 80539, 5486, 91300, 50, 64810, 33710, 19732, 116875, 108324, 32648, 49, 1032, 16144, 56965, 55031, 127359, 25197, 109713, 16144, 717, 87217, 70563, 16073, 20230, 103721, 233, 29295, 76947, 61689, 9174, 717, 87217, 70563, 113883, 112603, 30512, 68759, 25197, 109713, 20230, 82420, 108867, 124545, 118733, 36896, 67645, 16144, 120264, 31958, 30369, 118544, 118587, 122225, 124545, 105908, 125545, 9174, 64780, 110382, 55031, 61826, 15682, 5486, 124448, 39177, 102052, 109215, 16144, 100604, 108134, 38641, 198, 22398, 102803, 45923, 22398, 25197, 108981, 113115, 106608, 54926, 806, 87217, 70563, 16073, 71289, 57326, 116219, 22398, 25197, 108981, 113115, 106608, 54926, 19, 87217, 70563, 16073, 15682, 36896, 15, 32149, 16, 32149, 59712, 715, 32149, 28167, 32149, 66383, 16995, 100472, 82420, 108867, 80673, 107515, 29295, 5486, 717, 87217, 70563, 16073, 15682, 36896, 15, 19732, 16, 16144, 56965, 16144, 67645, 33121, 120264, 16144, 112603, 32149, 66383, 16995, 100472, 82420, 108867, 123410, 105908, 125545, 9174, 47260, 47260, 96452, 123428, 16556, 33655, 30297, 91300, 50, 64810, 33710, 15682, 5486, 31958, 30369, 30813, 113468, 5486, 16, 44, 101418, 55031, 508, 74, 101418, 103296, 116875, 108324, 112603, 30512, 113764, 33503, 111201, 104721, 33208, 107726, 33541, 9174, 58426, 104721, 33208, 20230, 106608, 100204, 38144, 104721, 33208, 54926, 11144, 91300, 50, 64810, 33710, 19732, 49, 1032, 16144, 56965, 16144, 101721, 25129, 11199, 30512, 717, 87217, 70563, 16073, 29295, 82420, 108867, 78434, 9174, 47260, 47260, 96452, 123428, 77181, 106116, 112603, 30512, 15, 55031, 3192, 103296, 16144, 64531, 9039, 20230, 104721, 109033, 39926, 117120, 22649, 78434, 9174, 57326, 116219, 22398, 25197, 108981, 19732, 91300, 50, 64810, 33710, 15682, 5486, 55999, 33035, 16144, 18904, 47095, 124905, 76947, 61689, 9174, 118075, 57326, 116219, 22398, 25197, 108981, 29295, 110408, 84389, 126386, 110018, 15682, 5486, 91300, 50, 64810, 33710, 19732, 49, 1032, 107407, 105879, 5486, 19, 87217, 70563, 113883, 101721, 25129, 15682, 15, 115717, 107515, 9174, 53900, 5486, 42016, 103826, 20230, 49, 1032, 107407, 105879, 5486, 717, 87217, 70563, 113883, 101721, 25129, 32977, 15, 102052, 26854, 31431, 107515, 9174, 119560, 57326, 116219, 22398, 25197, 108981, 29295, 110408, 84389, 104533, 5486, 91300, 50, 64810, 33710, 11151, 1032, 16144, 110176, 79982, 16144, 101721, 25129, 29295, 15, 108176, 105879, 5486, 717, 87217, 70563, 113883, 101721, 25129, 32977, 104195, 44416, 112535, 15, 115717, 33541, 9174, 123011, 62004, 104533, 33671, 16144, 101200, 115717, 33541, 9174, 118075, 57326, 116219, 22398, 25197, 108981, 29295, 110408, 84389, 126386, 110018, 198, 19, 87217, 70563, 113883, 17701, 48634, 52118, 16, 611, 220, 717, 87217, 70563, 113883, 17701, 48634, 52118, 16, 21909, 3192, 198, 119560, 57326, 116219, 22398, 25197, 108981, 29295, 110408, 103646, 110018, 198, 19, 87217, 70563, 113883, 17701, 48634, 52118, 15, 611, 220, 717, 87217, 70563, 113883, 17701, 48634, 52118, 15, 198, 31958, 30369, 30813, 15682, 57326, 116219, 22398, 25197, 108981, 16144, 17701, 48634, 106053, 23187, 20230, 117375, 103801, 72342, 25827, 29295, 111476, 57326, 116219, 22398, 25197, 108981, 29295, 110408, 110731, 19732, 5486, 31958, 30369, 30813, 16144, 82420, 108867, 15682, 103082, 107515, 9174, 20834, 111600, 125344 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 100927, 121960, 15682, 13177, 21990, 9458, 92877, 9458, 103429, 9458, 102625, 117503, 51330, 19, 59739, 29295, 5486, 107202, 21105, 123, 16144, 102831, 39084, 103195, 19732, 117952, 106824, 108086, 33541, 9174, 123726, 30369, 100909, 5486, 92877, 107991, 100909, 5486, 103429, 95221, 108176, 100909, 5486, 102625, 112179, 109335, 37087, 38144, 107202, 21105, 123, 103195, 19732, 108323, 119188, 112973, 6271, 237, 100927, 16144, 108729, 22649, 104611, 38641, 9174, 27929, 32977, 27929, 32977, 5486, 123726, 100481, 123207, 5486, 107202, 15024, 104004, 115789, 100604, 102677, 102012, 110993, 16144, 22649, 104611, 116787, 5486, 6271, 237, 100927, 15682, 5486, 107202, 21105, 123, 30512, 33420, 17663, 113009, 116898, 107188, 30369, 23951, 23039, 105352, 113420, 58942, 5486, 125636, 31431, 125523, 47884, 105908, 107693, 103195, 19732, 113727, 124195, 61689, 9174, 80539, 36896, 21990, 9458, 92877, 9458, 103429, 9458, 102625, 117503, 107202, 21105, 123, 16144, 37087, 38144, 16144, 102831, 39084, 103195, 112973, 5486, 101851, 102, 101128, 102, 103195, 19732, 117952, 106824, 108086, 33541, 9174, 123726, 100934, 117591, 20230, 101128, 102, 64121, 71289, 5486, 107202, 21105, 123, 29295, 21990, 17129, 104028, 104468, 5486, 37087, 38144, 101851, 102, 101128, 102, 16144, 72342, 16995, 116787, 108048, 29295, 123296, 102676, 123410, 55031, 5486, 107202, 106624, 109020, 16144, 38641, 9174, 101851, 102, 101128, 102, 107118, 6640, 102159, 101182, 19732, 117952, 115032, 114516, 29295, 24186, 104680, 119100, 19000, 112535, 111654, 54926, 111654, 32018, 16144, 118733, 36896, 33334, 35330, 29295, 111654, 102800, 66383, 32149, 13177, 104712, 101918, 20230, 110498, 31431, 106956, 10646, 36896, 31540, 103926, 16995, 109453, 29295, 111654, 102800, 10646, 36896, 58666, 103868, 102800, 125764, 53953, 29295, 125764, 106956, 10646, 104309, 15682, 37087, 38144, 51330, 101851, 102, 101128, 102, 113468, 46456, 55487, 116216, 108086, 33541, 9174, 567, 104102, 236, 86436, 71289, 120987, 125030, 33503, 78183, 110615, 198, 103188, 86436, 71289, 120987, 125030, 33503, 126832, 19732, 36896, 118116, 39177, 30591, 30297, 95604, 104346, 116446, 33334, 76622, 81219, 57980, 102518, 10646, 71289, 36896, 57933, 71634, 20230, 21388, 113529, 127564, 104405, 119607, 10646, 36896, 37507, 111299, 16144, 118192, 108270, 16073, 126238, 105714, 54926, 26854, 10646, 123160, 114284, 29295, 22957, 64121, 109415, 38144, 50834, 33541, 15024, 108048, 29295, 127408, 71289, 107202, 21105, 123, 20230, 103721, 233, 29295, 30369, 16144, 38641, 9174, 6271, 237, 100927, 16144, 127298, 15682, 5486, 863, 16325, 45893, 863, 102083, 76947, 36896, 99849, 72661, 43514, 107106, 67645, 104712, 106592, 54926, 66383, 95604, 105908, 27384, 102769, 118816, 117952, 106824, 108086, 115515, 16144, 105994, 29295, 104405, 26854, 104865, 11571, 30512, 37026, 99397, 54926, 115789, 109215, 118816, 116216, 108086, 33541, 9174, 85701, 112987, 78183, 106644, 30369, 5486, 6271, 237, 100927, 107809, 16144, 13177, 54656, 227, 66383, 95604, 113727, 24273, 16556, 5486, 27665, 16144, 109832, 101275, 30046, 127674, 109229, 9458, 113909, 52884, 22398, 32977, 99750, 103842, 246, 114475, 107674, 5486, 102491, 47884, 55031, 108044, 78183, 30369, 22649, 104611, 116787, 33541, 9174, 103188, 86436, 71289, 120987, 125030, 33503, 123671, 101860, 115515, 16144, 105994, 30512, 21105, 96, 107277, 19732, 91774, 59739, 109315, 105908, 103082, 104984, 5486, 37026, 101860, 19732, 101128, 102, 64121, 71289, 107202, 21105, 123, 104309, 15682, 33420, 58942, 5486, 37026, 108055, 123410, 105933, 116292, 108740, 15682, 72718, 50834, 100604, 16144, 38641, 9174, 99849, 33121, 116446, 32977, 5486, 109988, 115737, 100472, 118374, 117734, 21990, 102052, 64209, 105755, 5486, 48154, 13828, 98, 103005, 126130, 55228, 230, 31431, 102782, 15024, 109415, 33541, 9174, 567, 103372, 101467, 21990, 111848, 107850, 102802, 104989, 31431, 37026, 108055, 16144, 118331, 61398, 29295, 117896, 128001, 128000, 2, 106555, 96452, 104612, 30512, 118095, 125131, 124545, 41007, 198, 71493, 96452, 104612, 15682, 11881, 242, 55031, 40053, 20230, 114516, 16144, 60358, 47884, 107898, 31431, 117119, 8107, 32977, 99695, 67075, 103306, 165, 36246, 78183, 106824, 61689, 1811, 110589, 32977, 43240, 119064, 114754, 71493, 96452, 104612, 30512, 165, 36246, 76947, 108086, 5486, 117876, 71289, 110999, 103868, 103306, 71493, 96452, 104612, 30512, 118095, 125131, 124545, 17792, 32977, 61689, 9174, 567, 111279, 16556, 71493, 96452, 104612, 30512, 118095, 125131, 124545, 41007, 198, 71493, 96452, 104612, 30512, 118095, 125131, 124545, 103846, 102052, 116898, 47884, 59739, 32149, 38574, 106090, 30512, 119870, 17129, 123207, 16995, 76622, 107515, 9174, 14711, 125867, 78767, 198, 110577, 20230, 116750, 30512, 165, 36246, 103836, 107803, 72661, 111476, 58426, 102663, 78767, 15682, 33334, 27929, 124749, 71493, 96452, 104612, 16144, 118095, 125131, 102052, 70141, 16995, 100481, 107515, 9174, 71493, 96452, 104612, 30512, 118095, 125131, 124545, 102052, 5486, 118095, 125131, 16144, 113009, 115612, 20230, 68408, 126590, 103646, 102944, 29295, 109215, 115717, 33541, 1811, 118095, 125131, 11883, 16144, 102663, 78767, 102052, 5486, 89151, 25827, 126867, 24775, 125174, 71289, 106548, 125174, 29295, 59739, 102532, 61689, 1811, 102131, 54926, 118733, 33334, 106483, 117714, 71174, 15682, 104655, 22957, 107290, 32977, 110783, 15682, 91774, 119841, 127749, 126694, 31431, 33541, 9174, 106548, 125174, 15682, 17, 118821, 80805, 109089, 16556, 106391, 13153, 116216, 108086, 5486, 16, 59739, 15682, 103268, 108950, 31958, 16556, 5486, 108031, 16, 59739, 15682, 35330, 105550, 117084, 61689, 1811, 123090, 109835, 33121, 33541, 29295, 115847, 29295, 71493, 96452, 104612, 16144, 118095, 125131, 20230, 107693, 26854, 107734, 111017, 30512, 28873, 28713, 78434, 9174, 14711, 106555, 96452, 104612, 30512, 102647, 104369, 198, 71493, 96452, 104612, 16144, 123120, 30512, 114652, 106596, 127564, 5486, 103214, 64121, 114146, 106956, 99695, 39880, 30512, 102647, 102802, 17129, 109954, 1811, 111006, 109904, 66378, 17599, 112, 29295, 67645, 120950, 107461, 96452, 29295, 21990, 17129, 104028, 111201, 117375, 54926, 103846, 5486, 102647, 104369, 110018, 15682, 39135, 5486, 58666, 21105, 243, 5486, 83799, 30512, 78698, 101557, 106, 109156, 106824, 102647, 102802, 17129, 109954, 1811, 118095, 125131, 54926, 113173, 29295, 115364, 101399, 32149, 5486, 105525, 30369, 101399, 32149, 113468, 32977, 58426, 103214, 64121, 114146, 16144, 107693, 27479, 29295, 104721, 116547, 33541, 9174, 14711, 105228, 38144, 16144, 107253, 104874, 123410, 198, 17597, 96, 19967, 112586, 109215, 26854, 102944, 30512, 37087, 38144, 21441, 225, 107290, 55031, 5486, 71493, 96452, 104612, 30512, 165, 36246, 30297, 104466, 103801, 109954, 1811, 109215, 26854, 104468, 110698, 53610, 32648, 17, 59739, 5486, 76739, 60868, 74396, 17, 59739, 106116, 43511, 71493, 96452, 104612, 29295, 109215, 26854, 102944, 30512, 17, 101860, 59739, 107691, 16995, 27929, 85791, 58942, 17129, 109954, 9174, 112727, 106824, 112987, 124324, 112973, 5486, 25132, 234, 16144, 124122, 71493, 127764, 103672, 107060, 123160, 115145, 57207, 65299, 91062, 39084, 19732, 107461, 96452, 16144, 124122, 99695, 123167, 38641, 1811, 71493, 96452, 104612, 30512, 165, 36246, 30297, 112772, 37087, 38144, 21441, 225, 105262, 105908, 103082, 127567, 5486, 33671, 15682, 118095, 125131, 16144, 106826, 103830, 104088, 100481, 50834, 17129, 109954, 9174, 14711, 10447, 117, 223, 125131, 30512, 103129, 105784, 198, 127637, 107253, 104874, 29295, 103082, 127567, 5486, 103268, 108950, 31958, 19732, 35330, 105550, 16144, 24775, 102769, 111331, 59739, 102334, 102663, 78767, 16144, 110176, 109054, 45923, 20230, 71493, 96452, 104612, 30512, 125639, 17129, 109954, 119520, 5486, 103268, 108950, 31958, 16144, 102944, 103378, 124905, 114598, 99849, 32977, 109606, 15682, 124897, 122262, 106483, 16995, 104088, 101860, 20230, 71174, 103378, 104655, 105784, 121894, 16556, 5486, 71493, 96452, 104612, 30512, 605, 55031, 868, 9080, 108680, 17620, 107441, 165, 36246, 101662, 103801, 109954, 1811, 108895, 54926, 118733, 108948, 106483, 16995, 111363, 109834, 103868, 114792, 28713, 122101, 105908, 125545, 9174, 51330, 117232, 29295, 105721, 78183, 100472, 33503, 111476, 103268, 108950, 31958, 16144, 24775, 125174, 30512, 108167, 21418, 102532, 35330, 105550, 103378, 20230, 15024, 108948, 106483, 16995, 104088, 105262, 104466, 39926, 122765, 17129, 109954, 1811, 116056, 121894, 16556, 122270, 605, 55031, 868, 9080, 108680, 165, 36246, 101662, 78434, 113637, 122756, 5486, 25132, 234, 20230, 99695, 123167, 30512, 58318, 107290, 101557, 96, 33121, 107726, 17129, 109954, 9174, 14711, 10447, 117, 223, 125131, 16144, 39177, 198, 16, 113746, 127564, 111476, 16995, 57980, 16995, 57980, 24775, 125174, 30512, 19732, 76947, 5486, 71493, 96452, 104612, 30512, 126419, 116446, 122765, 30369, 39177, 38641, 122262, 106483, 16995, 111363, 109834, 103868, 15682, 118095, 125131, 56051, 16995, 119150, 108680, 119448, 115737, 76947, 108086, 5486, 17, 111299, 56965, 108680, 16556, 39209, 107380, 123410, 123253, 1811, 101961, 27479, 39209, 107380, 126198, 33503, 5486, 25132, 234, 29295, 11239, 113, 30512, 106518, 104004, 124122, 17597, 96, 19967, 111331, 101399, 20230, 109215, 26854, 102944, 30512, 58318, 58942, 17129, 109954, 118844, 120577, 120098, 126128, 58942, 104984, 5486, 71493, 96452, 104612, 16144, 118095, 125131, 20230, 109242, 122202, 26854, 109335, 99849, 32977, 124897, 1811, 17905, 61304, 16144, 38574, 106090, 30512, 106613, 104984, 120268, 30813, 26854, 107461, 96452, 29295, 114225, 20230, 122013, 112028, 102351, 108176, 123253, 1811, 128001, 128000, 64780, 74482, 103268, 16144, 122984, 15682, 5486, 111108, 102800, 32149, 110241, 33121, 107515, 198, 57326, 116219, 22398, 25197, 108981, 15682, 5486, 110408, 109768, 104533, 50834, 103378, 103721, 233, 29295, 30369, 22398, 25197, 108981, 38641, 9174, 22398, 25197, 108981, 29295, 110408, 103646, 32149, 104405, 32149, 30512, 71493, 65299, 52414, 54926, 100909, 71289, 5486, 101544, 110408, 15024, 103792, 32149, 104405, 32149, 30512, 122225, 124545, 100909, 104309, 29295, 125545, 9174, 22398, 25197, 108981, 30512, 110408, 103792, 56965, 103378, 127359, 25197, 109713, 16144, 19, 87217, 70563, 16073, 29295, 68759, 25197, 96452, 22398, 20230, 103721, 233, 29295, 31431, 33541, 9174, 19, 87217, 70563, 113883, 112603, 30512, 68759, 25197, 109713, 20230, 82420, 108867, 124545, 118733, 5486, 22398, 25197, 108981, 29295, 110408, 110731, 32149, 110408, 84389, 126386, 32149, 30512, 122225, 125545, 9174, 91300, 50, 64810, 33710, 15682, 5486, 41642, 116310, 16144, 31958, 30369, 30813, 113468, 116875, 108324, 112603, 29295, 104721, 33208, 54926, 34048, 25446, 38641, 9174, 109163, 16995, 110018, 15682, 116875, 108324, 112603, 29295, 119448, 47884, 5486, 31958, 30369, 115737, 104533, 116875, 108324, 112603, 29295, 31809, 30813, 115737, 31431, 33541, 9174, 13177, 109163, 115737, 100472, 33503, 13953, 30512, 28542, 111371, 124545, 66383, 16995, 100472, 57326, 77750, 32131, 91062, 126694, 30369, 105908, 108608, 101200, 115717, 33541, 9174, 91300, 50, 64810, 33710, 15682, 5486, 116875, 108324, 32648, 49, 717, 30512, 106613, 68171, 39926, 57326, 112718, 20230, 103721, 233, 29295, 31431, 5486, 116875, 108324, 32648, 49, 1032, 30512, 106613, 68171, 39926, 68759, 25197, 96452, 22398, 20230, 103721, 233, 29295, 76947, 61689, 9174, 80539, 5486, 91300, 50, 64810, 33710, 19732, 116875, 108324, 32648, 49, 1032, 16144, 56965, 55031, 127359, 25197, 109713, 16144, 717, 87217, 70563, 16073, 20230, 103721, 233, 29295, 76947, 61689, 9174, 717, 87217, 70563, 113883, 112603, 30512, 68759, 25197, 109713, 20230, 82420, 108867, 124545, 118733, 36896, 67645, 16144, 120264, 31958, 30369, 118544, 118587, 122225, 124545, 105908, 125545, 9174, 64780, 110382, 55031, 61826, 15682, 5486, 124448, 39177, 102052, 109215, 16144, 100604, 108134, 38641, 198, 22398, 102803, 45923, 22398, 25197, 108981, 113115, 106608, 54926, 806, 87217, 70563, 16073, 71289, 57326, 116219, 22398, 25197, 108981, 113115, 106608, 54926, 19, 87217, 70563, 16073, 15682, 36896, 15, 32149, 16, 32149, 59712, 715, 32149, 28167, 32149, 66383, 16995, 100472, 82420, 108867, 80673, 107515, 29295, 5486, 717, 87217, 70563, 16073, 15682, 36896, 15, 19732, 16, 16144, 56965, 16144, 67645, 33121, 120264, 16144, 112603, 32149, 66383, 16995, 100472, 82420, 108867, 123410, 105908, 125545, 9174, 47260, 47260, 96452, 123428, 16556, 33655, 30297, 91300, 50, 64810, 33710, 15682, 5486, 31958, 30369, 30813, 113468, 5486, 16, 44, 101418, 55031, 508, 74, 101418, 103296, 116875, 108324, 112603, 30512, 113764, 33503, 111201, 104721, 33208, 107726, 33541, 9174, 58426, 104721, 33208, 20230, 106608, 100204, 38144, 104721, 33208, 54926, 11144, 91300, 50, 64810, 33710, 19732, 49, 1032, 16144, 56965, 16144, 101721, 25129, 11199, 30512, 717, 87217, 70563, 16073, 29295, 82420, 108867, 78434, 9174, 47260, 47260, 96452, 123428, 77181, 106116, 112603, 30512, 15, 55031, 3192, 103296, 16144, 64531, 9039, 20230, 104721, 109033, 39926, 117120, 22649, 78434, 9174, 57326, 116219, 22398, 25197, 108981, 19732, 91300, 50, 64810, 33710, 15682, 5486, 55999, 33035, 16144, 18904, 47095, 124905, 76947, 61689, 9174, 118075, 57326, 116219, 22398, 25197, 108981, 29295, 110408, 84389, 126386, 110018, 15682, 5486, 91300, 50, 64810, 33710, 19732, 49, 1032, 107407, 105879, 5486, 19, 87217, 70563, 113883, 101721, 25129, 15682, 15, 115717, 107515, 9174, 53900, 5486, 42016, 103826, 20230, 49, 1032, 107407, 105879, 5486, 717, 87217, 70563, 113883, 101721, 25129, 32977, 15, 102052, 26854, 31431, 107515, 9174, 119560, 57326, 116219, 22398, 25197, 108981, 29295, 110408, 84389, 104533, 5486, 91300, 50, 64810, 33710, 11151, 1032, 16144, 110176, 79982, 16144, 101721, 25129, 29295, 15, 108176, 105879, 5486, 717, 87217, 70563, 113883, 101721, 25129, 32977, 104195, 44416, 112535, 15, 115717, 33541, 9174, 123011, 62004, 104533, 33671, 16144, 101200, 115717, 33541, 9174, 118075, 57326, 116219, 22398, 25197, 108981, 29295, 110408, 84389, 126386, 110018, 198, 19, 87217, 70563, 113883, 17701, 48634, 52118, 16, 611, 220, 717, 87217, 70563, 113883, 17701, 48634, 52118, 16, 21909, 3192, 198, 119560, 57326, 116219, 22398, 25197, 108981, 29295, 110408, 103646, 110018, 198, 19, 87217, 70563, 113883, 17701, 48634, 52118, 15, 611, 220, 717, 87217, 70563, 113883, 17701, 48634, 52118, 15, 198, 31958, 30369, 30813, 15682, 57326, 116219, 22398, 25197, 108981, 16144, 17701, 48634, 106053, 23187, 20230, 117375, 103801, 72342, 25827, 29295, 111476, 57326, 116219, 22398, 25197, 108981, 29295, 110408, 110731, 19732, 5486, 31958, 30369, 30813, 16144, 82420, 108867, 15682, 103082, 107515, 9174, 20834, 111600, 125344 ]
[ 47260, 47260, 96452, 123428, 15682, 5486, 11144, 22398, 102803, 45923, 22398, 25197, 108981, 715, 10, 57326, 116219, 22398, 25197, 108981, 715, 11199, 16556, 101721, 39084, 30512, 17701, 104028, 19732, 5486, 31958, 30369, 30813, 113468, 13953, 16144, 28542, 111371, 80805, 102514, 16073, 29295, 124500, 30369, 57326, 77750, 32131, 91062, 29295, 103350, 23039, 84389, 33541, 9174, 119627, 106116, 32335, 126867, 57326, 116219, 22398, 25197, 108981, 30512, 110408, 17663, 19732, 5486, 31958, 30369, 30813, 112649, 124233, 121140, 13953, 37087, 28542, 111371, 26854, 31431, 33541, 1811, 128001, 128000, 567, 110758, 106307, 39177, 102097, 70203, 111681, 85188, 107118, 198, 50021, 106307, 85188, 30512, 107792, 103664, 54926, 102052, 118969, 75694, 17129, 26854, 41007, 115991, 33541, 29295, 5486, 28713, 19732, 116285, 21990, 25580, 13647, 230, 58318, 32977, 114652, 33655, 126832, 102944, 112028, 59739, 38641, 1811, 21990, 25580, 13647, 230, 58318, 15682, 17, 11, 2636, 110743, 103296, 105110, 81219, 13647, 230, 58318, 85188, 29295, 32149, 124403, 114305, 16144, 106592, 50021, 106307, 39177, 102097, 70203, 111681, 85188, 102083, 61689, 29295, 5486, 126053, 47884, 107740, 126693, 27384, 104721, 33334, 50928, 115717, 33541, 9174, 45736, 106036, 95, 33208, 106222, 16144, 103130, 77413, 19732, 107173, 20230, 106759, 29295, 1954, 97049, 16556, 109988, 115737, 31431, 50021, 106307, 29295, 102404, 21990, 56051, 39177, 102052, 5486, 45829, 67645, 32977, 15682, 2031, 31640, 101983, 106358, 102677, 105933, 27452, 32977, 115079, 107290, 61689, 1811, 106759, 45829, 107173, 105352, 30297, 114715, 105268, 95604, 43514, 20230, 112686, 106518, 30512, 22398, 91062, 106240, 20230, 60634, 23039, 118765, 32149, 102677, 118733, 19967, 109115, 112973, 50021, 106307, 39177, 102097, 70203, 111681, 85188, 126529, 38641, 9174, 13647, 230, 58318, 39177, 102052, 85188, 35330, 15682, 102404, 21990, 103801, 72342, 25827, 29295, 5486, 50021, 106307, 16144, 39177, 102052, 21990, 25580, 13647, 230, 58318, 17620, 19732, 50021, 106307, 112686, 106518, 30512, 102780, 56051, 109518, 20230, 50021, 106307, 85188, 29295, 32149, 117295, 102677, 28542, 102052, 61633, 29295, 109215, 38641, 1811, 13647, 230, 58318, 103646, 17620, 124905, 76947, 103801, 124059, 20230, 5486, 45163, 37507, 20230, 104874, 107290, 15120, 34048, 30512, 80631, 107, 105623, 226, 39926, 33334, 47884, 106592, 33334, 125683, 62004, 78434, 9174, 567, 103036, 106045, 54872, 110362, 30590, 50667, 16144, 66378, 27452, 107118, 198, 50021, 106307, 85188, 30512, 114485, 33503, 17663, 102052, 115514, 106518, 110022, 109518, 30512, 114485, 109518, 54926, 102677, 123017, 15120, 118821, 41007, 16556, 15755, 226, 17663, 109900, 102052, 31809, 106045, 54872, 110362, 30590, 50667, 16144, 66378, 27452, 30512, 38129, 54926, 123017, 126053, 16995, 41007, 38641, 9174, 31809, 106045, 54872, 110362, 30590, 16144, 66378, 27452, 107118, 5486, 109988, 115737, 100472, 24273, 19732, 104654, 30512, 107173, 20230, 107113, 122013, 16144, 101987, 104157, 11883, 110362, 30590, 71289, 118482, 11883, 110362, 30590, 109853, 5486, 101182, 77195, 30512, 112624, 28713, 72342, 81219, 110362, 30590, 107624, 95001, 109518, 30512, 1490, 113127, 32977, 114485, 109518, 120837, 33503, 105262, 102677, 106045, 23187, 38641, 1811, 39177, 95001, 16, 117913, 35757, 16144, 110362, 30590, 72661, 17, 11, 931, 110743, 103306, 50021, 106307, 85188, 30512, 122282, 54926, 100909, 108176, 113334, 38641, 55031, 27384, 104721, 33334, 50928, 123253, 9174, 90620, 15024, 120268, 106045, 54872, 110362, 30590, 50667, 16144, 66378, 27452, 29295, 126543, 107001, 102052, 5486, 115514, 71869, 125030, 76947, 58426, 110362, 30590, 29295, 103470, 38144, 15682, 105110, 100604, 102944, 116787, 5486, 43240, 109518, 16144, 50021, 106307, 85188, 29295, 111681, 85188, 107001, 105933, 105908, 30591, 104984, 101307, 50021, 106307, 107707, 104654, 20230, 43240, 27384, 26854, 46456, 108502, 29295, 21990, 100204, 104533, 122225, 107001, 109215, 115991, 33541, 1811, 112832, 72661, 107740, 108608, 113334, 111769, 102677, 28542, 20230, 61633, 103801, 109954, 9174, 567, 104102, 118, 106518, 110022, 109518, 55031, 103851, 21418, 107001, 102944, 198, 115514, 106518, 110022, 109518, 30512, 70203, 20834, 54926, 104983, 20230, 5486, 66776, 111681, 85188, 112686, 106518, 117282, 102944, 30512, 37656, 105184, 20230, 102178, 111665, 39926, 33334, 47884, 104468, 27384, 30926, 26854, 100909, 38641, 1811, 66776, 111681, 85188, 112686, 106518, 117282, 104468, 124652, 32938, 5486, 115553, 77913, 5486, 6271, 237, 45826, 229, 5486, 29504, 9458, 106848, 118522, 108638, 33014, 9458, 66378, 23187, 35417, 105576, 122491, 104309, 20230, 108385, 47000, 56051, 112686, 106518, 5486, 118958, 33563, 117126, 35330, 16144, 117591, 2636, 110743, 18028, 25333, 23187, 50021, 106307, 107707, 9039, 20230, 120019, 54926, 35330, 109518, 104309, 115991, 33541, 9174, 53900, 5486, 121993, 56906, 107430, 35330, 32977, 2636, 110743, 18028, 25333, 23187, 50021, 106307, 107707, 9039, 16144, 35330, 109518, 32977, 66776, 111681, 85188, 112686, 106518, 38641, 123405, 110027, 38144, 101161, 105, 29430, 106382, 11883, 71289, 101427, 113, 102781, 32977, 115514, 106518, 55031, 103851, 21418, 107001, 106592, 112854, 107290, 33334, 50834, 17129, 109954, 9174, 53900, 5486, 50021, 106307, 111671, 18, 8107, 23897, 123727, 13647, 230, 58318, 112686, 106518, 102052, 61633, 29295, 109215, 38641, 1811, 8107, 56965, 16556, 5120, 110743, 88852, 16144, 13647, 230, 58318, 105110, 81219, 66776, 111681, 85188, 117282, 104466, 112424, 16556, 23187, 62004, 124195, 61689, 119520, 5486, 110241, 50021, 106307, 111671, 123628, 18, 8107, 122756, 121410, 8107, 5120, 110743, 30512, 13647, 230, 58318, 107113, 114267, 33503, 108048, 15682, 115514, 106518, 103306, 21601, 70203, 107001, 105879, 104650, 37689, 39926, 72315, 9174, 567, 108350, 17920, 236, 103851, 21418, 30512, 113954, 54926, 198, 50021, 106307, 85188, 16144, 122282, 103188, 39607, 16556, 103350, 104983, 16144, 115514, 106518, 109518, 55031, 103851, 21418, 108608, 102944, 30512, 75146, 17920, 236, 103851, 21418, 102083, 61689, 29295, 5486, 18, 11, 931, 110743, 10, 5067, 110743, 18028, 25333, 23187, 50021, 106307, 107707, 9039, 16556, 32018, 109315, 105908, 125545, 1811, 114565, 1627, 8107, 17129, 77181, 20, 11, 931, 110743, 10, 16, 11, 931, 110743, 18028, 25333, 23187, 50021, 106307, 107707, 9039, 102677, 35330, 109518, 103351, 105879, 5486, 114565, 1544, 116358, 23226, 37656, 113468, 75146, 17920, 236, 103851, 21418, 109518, 29295, 15120, 95221, 20230, 19, 111017, 32977, 21403, 232, 114485, 116216, 114604, 100909, 115717, 33541, 9174, 85701, 103296, 50021, 106307, 85188, 15682, 57980, 108680, 16144, 115514, 106518, 30512, 50021, 106307, 21105, 103, 118145, 109606, 102052, 26854, 31431, 105823, 104127, 56051, 1811, 67016, 21105, 241, 16144, 25333, 23226, 37656, 113468, 5486, 50021, 106307, 85188, 16144, 102782, 58655, 30512, 21105, 103, 118145, 16995, 124324, 114050, 29295, 15120, 95221, 20230, 115079, 107800, 19732, 113727, 102204, 33541, 1811, 30297, 42891, 107277, 102782, 58655, 15024, 112727, 104028, 100909, 16144, 100604, 104466, 21105, 103, 118145, 16995, 76622, 107515, 9174, 567, 110758, 106307, 85188, 16144, 122282, 198, 28713, 19732, 116285, 17, 117913, 35757, 16144, 115514, 106518, 30512, 5486, 109297, 19732, 45829, 67645, 32977, 17, 17792, 102677, 25333, 23187, 50021, 106307, 17792, 16556, 50021, 106307, 112990, 103801, 109954, 1811, 17, 117913, 35757, 12, 10110, 18, 11, 931, 110743, 10, 5067, 110743, 18028, 18, 17792, 7705, 28, 16, 117913, 20, 11, 931, 110743, 29295, 111681, 85188, 115514, 106518, 110022, 109518, 115717, 33541, 113637, 117591, 16, 14, 17, 16144, 22, 11, 5067, 110743, 30512, 109297, 29295, 5486, 16, 14, 19, 101860, 118821, 13897, 15, 110743, 30512, 45829, 67645, 32977, 29295, 50021, 106307, 54926, 122282, 38641, 9174, 85701, 30512, 50021, 106307, 111017, 40862, 127303, 25827, 17620, 112990, 5486, 109297, 15682, 16, 11, 8652, 110743, 5486, 45829, 67645, 32977, 127282, 21129, 110743, 16144, 50021, 106307, 85188, 29295, 32149, 117295, 122282, 115717, 33541, 119520, 5486, 55487, 115018, 30046, 102052, 16, 117913, 21, 11, 931, 110743, 103296, 16144, 85188, 109518, 114485, 109518, 107407, 105879, 5486, 103350, 104983, 20230, 109297, 15682, 85188, 35330, 30512, 110226, 109315, 109215, 15682, 124897, 9174, 51330, 104466, 5486, 25333, 23187, 50021, 106307, 107707, 56965, 16556, 50021, 106307, 85188, 20230, 104364, 29295, 108608, 104468, 108048, 108422, 33121, 108010, 30297, 85188, 96455, 29295, 126543, 107001, 55031, 38641, 1811, 28713, 19732, 116285, 5486, 113598, 45829, 102057, 223, 103214, 104309, 16556, 50021, 106307, 17792, 30512, 115079, 126172, 105908, 103082, 104984, 50021, 106307, 85188, 32977, 51385, 47884, 109020, 104468, 51330, 103846, 38641, 9174, 71689, 119775, 115514, 106518, 50021, 106307, 16144, 122282, 15682, 108008, 20230, 109242, 122202, 16556, 5486, 107173, 126693, 21441, 231, 62004, 30926, 16144, 113385, 105352, 26854, 31431, 32149, 101832, 107515, 1811, 126843, 5486, 102208, 114754, 112424, 30512, 37656, 106624, 113954, 54926, 104466, 39926, 5486, 43568, 11883, 16144, 106106, 16995, 30512, 30813, 105784, 104466, 103801, 109954, 109900, 72661, 119147, 31106, 120, 16144, 106106, 16995, 29295, 72718, 50834, 38144, 114732, 115789, 43240, 104680, 57903, 33541, 1811, 115514, 106518, 17620, 111017, 108975, 104760, 16556, 122074, 54926, 115789, 57903, 33541, 29295, 5486, 118006, 114940, 106053, 32938, 17129, 72661, 59739, 33121, 22957, 104004, 115789, 76622, 42891, 39926, 62004, 101860, 33503, 106624, 124897, 109900, 103296, 67645, 103171, 20230, 113850, 29295, 103424, 102518, 106759, 127857, 72661, 115514, 106518, 50021, 106307, 16556, 122074, 109904, 113850, 121953, 30512, 39926, 114732, 115789, 57903, 33541, 9174, 19732, 47884, 20230, 127857, 42016, 101559, 103378, 126194, 108048, 108422, 33121, 16144, 105068, 123090, 107991, 55487, 115018, 112919, 91763, 115461, 32977, 55031, 104004, 105908, 5486, 30926, 107328, 30512, 15120, 114050, 109242, 122202, 33208, 107726, 100934, 104865, 110241, 33121, 107515, 1811, 111108, 102800, 100909, 32149, 110241, 33121, 107515, 29295, 5486, 101307, 50021, 106307, 114754, 24186, 95221, 26854, 117591, 55031, 101182, 113314, 87177, 15024, 40862, 76947, 33334, 47884, 106592, 33334, 125683, 62004, 78434, 9174, 567, 220, 123011, 62004, 198, 118544, 29295, 16556, 56051, 123253, 32149, 1811, 115514, 106518, 50021, 106307, 16144, 104983, 16144, 50021, 106307, 85188, 30512, 114485, 109518, 54926, 103846, 102052, 118969, 75694, 17129, 26854, 41007, 115991, 33541, 119520, 5486, 115514, 106518, 50021, 106307, 58426, 102944, 16556, 21441, 231, 107436, 103801, 76947, 15682, 24186, 32977, 45829, 32977, 124897, 1811, 17129, 30813, 116421, 30926, 107328, 20230, 104874, 107290, 5486, 9080, 119400, 55031, 106759, 45829, 16556, 114652, 87177, 15024, 40862, 76947, 33334, 47884, 115789, 15120, 118821, 41007, 126529, 111769, 123253, 32149, 1811, 128001, 128000, 567, 9492, 20, 57933, 29220, 78683, 115145, 101335, 84477, 198, 2, 4324, 3676, 1883, 114424, 103722, 220, 2371, 25, 116381, 112718, 16144, 109713, 89154, 123437, 52414, 30512, 56770, 16556, 97518, 9039, 20230, 102181, 50834, 109913, 105262, 198, 12, 11896, 25, 3676, 220, 1114, 13, 15, 13, 16, 198, 85701, 103296, 16144, 15143, 16144, 109713, 89154, 123437, 52414, 77181, 5486, 121894, 1021, 2513, 8, 30512, 32977, 28713, 72342, 106956, 110018, 15682, 107059, 22398, 1021, 1058, 8, 16556, 23187, 62004, 79721, 1811, 123682, 5486, 15143, 220, 845, 13, 23, 126328, 5486, 97518, 9039, 109713, 89154, 123437, 52414, 72661, 5486, 121894, 29295, 33563, 38144, 33541, 109807, 124122, 121432, 29295, 52591, 48552, 3283, 1982, 8, 38641, 7, 13177, 52591, 48552, 16144, 106839, 17701, 10646, 126229, 8, 1811, 37271, 18904, 15682, 5486, 125821, 32977, 108729, 117282, 106826, 84477, 52591, 48552, 198, 56770, 112212, 5486, 121894, 29295, 104874, 78183, 100472, 107059, 22398, 109713, 89154, 123437, 52414, 30512, 97518, 9039, 109713, 89154, 123437, 52414, 20230, 102181, 50834, 109913, 58942, 33541, 9174, 14711, 220, 1721, 116381, 112718, 30512, 97518, 9039, 20230, 102181, 50834, 109913, 105262, 198, 13177, 4110, 3676, 1883, 114424, 103722, 220, 2437, 10646, 2437, 13177, 119526, 30512, 33710, 84477, 109713, 89154, 123437, 52414, 105352, 28713, 122101, 10646, 77181, 5486, 33710, 84477, 102494, 115478, 64178, 198, 3632, 20876, 43846, 2927, 16144, 109713, 89154, 123437, 52414, 20230, 121894, 30512, 32977, 28713, 72342, 106956, 29295, 103846, 5486, 97518, 9039, 55031, 107059, 22398, 20230, 102181, 50834, 109913, 58942, 79721, 1811, 106826, 84477, 52591, 48552, 198, 56770, 30512, 11883, 16995, 104984, 5486, 88356, 102802, 97518, 9039, 109713, 89154, 123437, 52414, 20230, 114941, 122101, 16144, 38641, 9174, 126843, 121894, 1021, 2513, 8, 15682, 15120, 121022, 22324, 102532, 5486, 109713, 89154, 123437, 52414, 1021, 2213, 8, 16144, 106391, 17161, 30512, 107059, 22398, 55031, 97518, 9039, 20230, 102181, 50834, 109913, 58942, 33541, 1811, 97518, 9039, 20230, 109713, 71634, 119539, 47307, 1021, 22602, 2189, 15682, 124897, 1811, 109713, 71634, 119539, 47307, 16556, 85707, 23538, 33208, 56051, 121894, 15682, 110371, 30591, 19732, 198, 56770, 16556, 23187, 62004, 33541, 1811, 59739, 105557, 20230, 5486, 109713, 89154, 123437, 52414, 20230, 104874, 107800, 39850, 102741, 105404, 38641, 1811, 42634, 38248, 104, 33710, 104721, 9039, 1021, 1040, 8, 20230, 39880, 117243, 97518, 9039, 29430, 198, 2228, 16556, 102181, 47884, 120266, 78434, 1811, 97518, 9039, 109713, 89154, 123437, 52414, 107809, 77181, 111476, 576, 126229, 15682, 11883, 16995, 107515, 113637, 30591, 19732, 106826, 84477, 52591, 48552, 16556, 21601, 105262, 121894, 109853, 32977, 112361, 38641, 9174, 322, 1179, 3676, 505, 364, 3007, 7112, 443, 538, 1883, 2289, 3676, 5229, 314, 734, 1883, 368, 314, 1416, 4797, 9524, 8, 314, 335, 642, 443, 53540, 1998, 8, 314, 738, 53540, 284, 320, 72, 8, 591, 314, 20667, 443, 3219, 368, 314, 471, 320, 7048, 443, 20667, 457, 14711, 220, 2437, 80050, 57933, 84477, 52591, 48552, 56770, 124905, 30297, 198, 106826, 84477, 52591, 48552, 198, 56770, 124905, 30297, 19732, 5486, 97518, 9039, 109713, 89154, 123437, 52414, 20230, 121894, 30512, 104874, 105262, 105908, 125545, 1811, 52591, 48552, 3283, 1982, 8, 102677, 104468, 5486, 15143, 16144, 121432, 116825, 26854, 104699, 3283, 1982, 1139, 8, 97518, 9039, 38641, 9174, 56770, 15682, 5486, 97518, 9039, 109713, 89154, 123437, 52414, 20230, 15143, 16144, 121894, 1021, 2513 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 47260, 47260, 96452, 123428, 15682, 5486, 11144, 22398, 102803, 45923, 22398, 25197, 108981, 715, 10, 57326, 116219, 22398, 25197, 108981, 715, 11199, 16556, 101721, 39084, 30512, 17701, 104028, 19732, 5486, 31958, 30369, 30813, 113468, 13953, 16144, 28542, 111371, 80805, 102514, 16073, 29295, 124500, 30369, 57326, 77750, 32131, 91062, 29295, 103350, 23039, 84389, 33541, 9174, 119627, 106116, 32335, 126867, 57326, 116219, 22398, 25197, 108981, 30512, 110408, 17663, 19732, 5486, 31958, 30369, 30813, 112649, 124233, 121140, 13953, 37087, 28542, 111371, 26854, 31431, 33541, 1811, 128001, 128000, 567, 110758, 106307, 39177, 102097, 70203, 111681, 85188, 107118, 198, 50021, 106307, 85188, 30512, 107792, 103664, 54926, 102052, 118969, 75694, 17129, 26854, 41007, 115991, 33541, 29295, 5486, 28713, 19732, 116285, 21990, 25580, 13647, 230, 58318, 32977, 114652, 33655, 126832, 102944, 112028, 59739, 38641, 1811, 21990, 25580, 13647, 230, 58318, 15682, 17, 11, 2636, 110743, 103296, 105110, 81219, 13647, 230, 58318, 85188, 29295, 32149, 124403, 114305, 16144, 106592, 50021, 106307, 39177, 102097, 70203, 111681, 85188, 102083, 61689, 29295, 5486, 126053, 47884, 107740, 126693, 27384, 104721, 33334, 50928, 115717, 33541, 9174, 45736, 106036, 95, 33208, 106222, 16144, 103130, 77413, 19732, 107173, 20230, 106759, 29295, 1954, 97049, 16556, 109988, 115737, 31431, 50021, 106307, 29295, 102404, 21990, 56051, 39177, 102052, 5486, 45829, 67645, 32977, 15682, 2031, 31640, 101983, 106358, 102677, 105933, 27452, 32977, 115079, 107290, 61689, 1811, 106759, 45829, 107173, 105352, 30297, 114715, 105268, 95604, 43514, 20230, 112686, 106518, 30512, 22398, 91062, 106240, 20230, 60634, 23039, 118765, 32149, 102677, 118733, 19967, 109115, 112973, 50021, 106307, 39177, 102097, 70203, 111681, 85188, 126529, 38641, 9174, 13647, 230, 58318, 39177, 102052, 85188, 35330, 15682, 102404, 21990, 103801, 72342, 25827, 29295, 5486, 50021, 106307, 16144, 39177, 102052, 21990, 25580, 13647, 230, 58318, 17620, 19732, 50021, 106307, 112686, 106518, 30512, 102780, 56051, 109518, 20230, 50021, 106307, 85188, 29295, 32149, 117295, 102677, 28542, 102052, 61633, 29295, 109215, 38641, 1811, 13647, 230, 58318, 103646, 17620, 124905, 76947, 103801, 124059, 20230, 5486, 45163, 37507, 20230, 104874, 107290, 15120, 34048, 30512, 80631, 107, 105623, 226, 39926, 33334, 47884, 106592, 33334, 125683, 62004, 78434, 9174, 567, 103036, 106045, 54872, 110362, 30590, 50667, 16144, 66378, 27452, 107118, 198, 50021, 106307, 85188, 30512, 114485, 33503, 17663, 102052, 115514, 106518, 110022, 109518, 30512, 114485, 109518, 54926, 102677, 123017, 15120, 118821, 41007, 16556, 15755, 226, 17663, 109900, 102052, 31809, 106045, 54872, 110362, 30590, 50667, 16144, 66378, 27452, 30512, 38129, 54926, 123017, 126053, 16995, 41007, 38641, 9174, 31809, 106045, 54872, 110362, 30590, 16144, 66378, 27452, 107118, 5486, 109988, 115737, 100472, 24273, 19732, 104654, 30512, 107173, 20230, 107113, 122013, 16144, 101987, 104157, 11883, 110362, 30590, 71289, 118482, 11883, 110362, 30590, 109853, 5486, 101182, 77195, 30512, 112624, 28713, 72342, 81219, 110362, 30590, 107624, 95001, 109518, 30512, 1490, 113127, 32977, 114485, 109518, 120837, 33503, 105262, 102677, 106045, 23187, 38641, 1811, 39177, 95001, 16, 117913, 35757, 16144, 110362, 30590, 72661, 17, 11, 931, 110743, 103306, 50021, 106307, 85188, 30512, 122282, 54926, 100909, 108176, 113334, 38641, 55031, 27384, 104721, 33334, 50928, 123253, 9174, 90620, 15024, 120268, 106045, 54872, 110362, 30590, 50667, 16144, 66378, 27452, 29295, 126543, 107001, 102052, 5486, 115514, 71869, 125030, 76947, 58426, 110362, 30590, 29295, 103470, 38144, 15682, 105110, 100604, 102944, 116787, 5486, 43240, 109518, 16144, 50021, 106307, 85188, 29295, 111681, 85188, 107001, 105933, 105908, 30591, 104984, 101307, 50021, 106307, 107707, 104654, 20230, 43240, 27384, 26854, 46456, 108502, 29295, 21990, 100204, 104533, 122225, 107001, 109215, 115991, 33541, 1811, 112832, 72661, 107740, 108608, 113334, 111769, 102677, 28542, 20230, 61633, 103801, 109954, 9174, 567, 104102, 118, 106518, 110022, 109518, 55031, 103851, 21418, 107001, 102944, 198, 115514, 106518, 110022, 109518, 30512, 70203, 20834, 54926, 104983, 20230, 5486, 66776, 111681, 85188, 112686, 106518, 117282, 102944, 30512, 37656, 105184, 20230, 102178, 111665, 39926, 33334, 47884, 104468, 27384, 30926, 26854, 100909, 38641, 1811, 66776, 111681, 85188, 112686, 106518, 117282, 104468, 124652, 32938, 5486, 115553, 77913, 5486, 6271, 237, 45826, 229, 5486, 29504, 9458, 106848, 118522, 108638, 33014, 9458, 66378, 23187, 35417, 105576, 122491, 104309, 20230, 108385, 47000, 56051, 112686, 106518, 5486, 118958, 33563, 117126, 35330, 16144, 117591, 2636, 110743, 18028, 25333, 23187, 50021, 106307, 107707, 9039, 20230, 120019, 54926, 35330, 109518, 104309, 115991, 33541, 9174, 53900, 5486, 121993, 56906, 107430, 35330, 32977, 2636, 110743, 18028, 25333, 23187, 50021, 106307, 107707, 9039, 16144, 35330, 109518, 32977, 66776, 111681, 85188, 112686, 106518, 38641, 123405, 110027, 38144, 101161, 105, 29430, 106382, 11883, 71289, 101427, 113, 102781, 32977, 115514, 106518, 55031, 103851, 21418, 107001, 106592, 112854, 107290, 33334, 50834, 17129, 109954, 9174, 53900, 5486, 50021, 106307, 111671, 18, 8107, 23897, 123727, 13647, 230, 58318, 112686, 106518, 102052, 61633, 29295, 109215, 38641, 1811, 8107, 56965, 16556, 5120, 110743, 88852, 16144, 13647, 230, 58318, 105110, 81219, 66776, 111681, 85188, 117282, 104466, 112424, 16556, 23187, 62004, 124195, 61689, 119520, 5486, 110241, 50021, 106307, 111671, 123628, 18, 8107, 122756, 121410, 8107, 5120, 110743, 30512, 13647, 230, 58318, 107113, 114267, 33503, 108048, 15682, 115514, 106518, 103306, 21601, 70203, 107001, 105879, 104650, 37689, 39926, 72315, 9174, 567, 108350, 17920, 236, 103851, 21418, 30512, 113954, 54926, 198, 50021, 106307, 85188, 16144, 122282, 103188, 39607, 16556, 103350, 104983, 16144, 115514, 106518, 109518, 55031, 103851, 21418, 108608, 102944, 30512, 75146, 17920, 236, 103851, 21418, 102083, 61689, 29295, 5486, 18, 11, 931, 110743, 10, 5067, 110743, 18028, 25333, 23187, 50021, 106307, 107707, 9039, 16556, 32018, 109315, 105908, 125545, 1811, 114565, 1627, 8107, 17129, 77181, 20, 11, 931, 110743, 10, 16, 11, 931, 110743, 18028, 25333, 23187, 50021, 106307, 107707, 9039, 102677, 35330, 109518, 103351, 105879, 5486, 114565, 1544, 116358, 23226, 37656, 113468, 75146, 17920, 236, 103851, 21418, 109518, 29295, 15120, 95221, 20230, 19, 111017, 32977, 21403, 232, 114485, 116216, 114604, 100909, 115717, 33541, 9174, 85701, 103296, 50021, 106307, 85188, 15682, 57980, 108680, 16144, 115514, 106518, 30512, 50021, 106307, 21105, 103, 118145, 109606, 102052, 26854, 31431, 105823, 104127, 56051, 1811, 67016, 21105, 241, 16144, 25333, 23226, 37656, 113468, 5486, 50021, 106307, 85188, 16144, 102782, 58655, 30512, 21105, 103, 118145, 16995, 124324, 114050, 29295, 15120, 95221, 20230, 115079, 107800, 19732, 113727, 102204, 33541, 1811, 30297, 42891, 107277, 102782, 58655, 15024, 112727, 104028, 100909, 16144, 100604, 104466, 21105, 103, 118145, 16995, 76622, 107515, 9174, 567, 110758, 106307, 85188, 16144, 122282, 198, 28713, 19732, 116285, 17, 117913, 35757, 16144, 115514, 106518, 30512, 5486, 109297, 19732, 45829, 67645, 32977, 17, 17792, 102677, 25333, 23187, 50021, 106307, 17792, 16556, 50021, 106307, 112990, 103801, 109954, 1811, 17, 117913, 35757, 12, 10110, 18, 11, 931, 110743, 10, 5067, 110743, 18028, 18, 17792, 7705, 28, 16, 117913, 20, 11, 931, 110743, 29295, 111681, 85188, 115514, 106518, 110022, 109518, 115717, 33541, 113637, 117591, 16, 14, 17, 16144, 22, 11, 5067, 110743, 30512, 109297, 29295, 5486, 16, 14, 19, 101860, 118821, 13897, 15, 110743, 30512, 45829, 67645, 32977, 29295, 50021, 106307, 54926, 122282, 38641, 9174, 85701, 30512, 50021, 106307, 111017, 40862, 127303, 25827, 17620, 112990, 5486, 109297, 15682, 16, 11, 8652, 110743, 5486, 45829, 67645, 32977, 127282, 21129, 110743, 16144, 50021, 106307, 85188, 29295, 32149, 117295, 122282, 115717, 33541, 119520, 5486, 55487, 115018, 30046, 102052, 16, 117913, 21, 11, 931, 110743, 103296, 16144, 85188, 109518, 114485, 109518, 107407, 105879, 5486, 103350, 104983, 20230, 109297, 15682, 85188, 35330, 30512, 110226, 109315, 109215, 15682, 124897, 9174, 51330, 104466, 5486, 25333, 23187, 50021, 106307, 107707, 56965, 16556, 50021, 106307, 85188, 20230, 104364, 29295, 108608, 104468, 108048, 108422, 33121, 108010, 30297, 85188, 96455, 29295, 126543, 107001, 55031, 38641, 1811, 28713, 19732, 116285, 5486, 113598, 45829, 102057, 223, 103214, 104309, 16556, 50021, 106307, 17792, 30512, 115079, 126172, 105908, 103082, 104984, 50021, 106307, 85188, 32977, 51385, 47884, 109020, 104468, 51330, 103846, 38641, 9174, 71689, 119775, 115514, 106518, 50021, 106307, 16144, 122282, 15682, 108008, 20230, 109242, 122202, 16556, 5486, 107173, 126693, 21441, 231, 62004, 30926, 16144, 113385, 105352, 26854, 31431, 32149, 101832, 107515, 1811, 126843, 5486, 102208, 114754, 112424, 30512, 37656, 106624, 113954, 54926, 104466, 39926, 5486, 43568, 11883, 16144, 106106, 16995, 30512, 30813, 105784, 104466, 103801, 109954, 109900, 72661, 119147, 31106, 120, 16144, 106106, 16995, 29295, 72718, 50834, 38144, 114732, 115789, 43240, 104680, 57903, 33541, 1811, 115514, 106518, 17620, 111017, 108975, 104760, 16556, 122074, 54926, 115789, 57903, 33541, 29295, 5486, 118006, 114940, 106053, 32938, 17129, 72661, 59739, 33121, 22957, 104004, 115789, 76622, 42891, 39926, 62004, 101860, 33503, 106624, 124897, 109900, 103296, 67645, 103171, 20230, 113850, 29295, 103424, 102518, 106759, 127857, 72661, 115514, 106518, 50021, 106307, 16556, 122074, 109904, 113850, 121953, 30512, 39926, 114732, 115789, 57903, 33541, 9174, 19732, 47884, 20230, 127857, 42016, 101559, 103378, 126194, 108048, 108422, 33121, 16144, 105068, 123090, 107991, 55487, 115018, 112919, 91763, 115461, 32977, 55031, 104004, 105908, 5486, 30926, 107328, 30512, 15120, 114050, 109242, 122202, 33208, 107726, 100934, 104865, 110241, 33121, 107515, 1811, 111108, 102800, 100909, 32149, 110241, 33121, 107515, 29295, 5486, 101307, 50021, 106307, 114754, 24186, 95221, 26854, 117591, 55031, 101182, 113314, 87177, 15024, 40862, 76947, 33334, 47884, 106592, 33334, 125683, 62004, 78434, 9174, 567, 220, 123011, 62004, 198, 118544, 29295, 16556, 56051, 123253, 32149, 1811, 115514, 106518, 50021, 106307, 16144, 104983, 16144, 50021, 106307, 85188, 30512, 114485, 109518, 54926, 103846, 102052, 118969, 75694, 17129, 26854, 41007, 115991, 33541, 119520, 5486, 115514, 106518, 50021, 106307, 58426, 102944, 16556, 21441, 231, 107436, 103801, 76947, 15682, 24186, 32977, 45829, 32977, 124897, 1811, 17129, 30813, 116421, 30926, 107328, 20230, 104874, 107290, 5486, 9080, 119400, 55031, 106759, 45829, 16556, 114652, 87177, 15024, 40862, 76947, 33334, 47884, 115789, 15120, 118821, 41007, 126529, 111769, 123253, 32149, 1811, 128001, 128000, 567, 9492, 20, 57933, 29220, 78683, 115145, 101335, 84477, 198, 2, 4324, 3676, 1883, 114424, 103722, 220, 2371, 25, 116381, 112718, 16144, 109713, 89154, 123437, 52414, 30512, 56770, 16556, 97518, 9039, 20230, 102181, 50834, 109913, 105262, 198, 12, 11896, 25, 3676, 220, 1114, 13, 15, 13, 16, 198, 85701, 103296, 16144, 15143, 16144, 109713, 89154, 123437, 52414, 77181, 5486, 121894, 1021, 2513, 8, 30512, 32977, 28713, 72342, 106956, 110018, 15682, 107059, 22398, 1021, 1058, 8, 16556, 23187, 62004, 79721, 1811, 123682, 5486, 15143, 220, 845, 13, 23, 126328, 5486, 97518, 9039, 109713, 89154, 123437, 52414, 72661, 5486, 121894, 29295, 33563, 38144, 33541, 109807, 124122, 121432, 29295, 52591, 48552, 3283, 1982, 8, 38641, 7, 13177, 52591, 48552, 16144, 106839, 17701, 10646, 126229, 8, 1811, 37271, 18904, 15682, 5486, 125821, 32977, 108729, 117282, 106826, 84477, 52591, 48552, 198, 56770, 112212, 5486, 121894, 29295, 104874, 78183, 100472, 107059, 22398, 109713, 89154, 123437, 52414, 30512, 97518, 9039, 109713, 89154, 123437, 52414, 20230, 102181, 50834, 109913, 58942, 33541, 9174, 14711, 220, 1721, 116381, 112718, 30512, 97518, 9039, 20230, 102181, 50834, 109913, 105262, 198, 13177, 4110, 3676, 1883, 114424, 103722, 220, 2437, 10646, 2437, 13177, 119526, 30512, 33710, 84477, 109713, 89154, 123437, 52414, 105352, 28713, 122101, 10646, 77181, 5486, 33710, 84477, 102494, 115478, 64178, 198, 3632, 20876, 43846, 2927, 16144, 109713, 89154, 123437, 52414, 20230, 121894, 30512, 32977, 28713, 72342, 106956, 29295, 103846, 5486, 97518, 9039, 55031, 107059, 22398, 20230, 102181, 50834, 109913, 58942, 79721, 1811, 106826, 84477, 52591, 48552, 198, 56770, 30512, 11883, 16995, 104984, 5486, 88356, 102802, 97518, 9039, 109713, 89154, 123437, 52414, 20230, 114941, 122101, 16144, 38641, 9174, 126843, 121894, 1021, 2513, 8, 15682, 15120, 121022, 22324, 102532, 5486, 109713, 89154, 123437, 52414, 1021, 2213, 8, 16144, 106391, 17161, 30512, 107059, 22398, 55031, 97518, 9039, 20230, 102181, 50834, 109913, 58942, 33541, 1811, 97518, 9039, 20230, 109713, 71634, 119539, 47307, 1021, 22602, 2189, 15682, 124897, 1811, 109713, 71634, 119539, 47307, 16556, 85707, 23538, 33208, 56051, 121894, 15682, 110371, 30591, 19732, 198, 56770, 16556, 23187, 62004, 33541, 1811, 59739, 105557, 20230, 5486, 109713, 89154, 123437, 52414, 20230, 104874, 107800, 39850, 102741, 105404, 38641, 1811, 42634, 38248, 104, 33710, 104721, 9039, 1021, 1040, 8, 20230, 39880, 117243, 97518, 9039, 29430, 198, 2228, 16556, 102181, 47884, 120266, 78434, 1811, 97518, 9039, 109713, 89154, 123437, 52414, 107809, 77181, 111476, 576, 126229, 15682, 11883, 16995, 107515, 113637, 30591, 19732, 106826, 84477, 52591, 48552, 16556, 21601, 105262, 121894, 109853, 32977, 112361, 38641, 9174, 322, 1179, 3676, 505, 364, 3007, 7112, 443, 538, 1883, 2289, 3676, 5229, 314, 734, 1883, 368, 314, 1416, 4797, 9524, 8, 314, 335, 642, 443, 53540, 1998, 8, 314, 738, 53540, 284, 320, 72, 8, 591, 314, 20667, 443, 3219, 368, 314, 471, 320, 7048, 443, 20667, 457, 14711, 220, 2437, 80050, 57933, 84477, 52591, 48552, 56770, 124905, 30297, 198, 106826, 84477, 52591, 48552, 198, 56770, 124905, 30297, 19732, 5486, 97518, 9039, 109713, 89154, 123437, 52414, 20230, 121894, 30512, 104874, 105262, 105908, 125545, 1811, 52591, 48552, 3283, 1982, 8, 102677, 104468, 5486, 15143, 16144, 121432, 116825, 26854, 104699, 3283, 1982, 1139, 8, 97518, 9039, 38641, 9174, 56770, 15682, 5486, 97518, 9039, 109713, 89154, 123437, 52414, 20230, 15143, 16144, 121894, 1021, 2513 ]
[ 8, 116825, 26854, 105557, 82533, 62004, 33541, 1811, 114941, 31431, 112603, 15682, 5486, 105104, 28713, 118821, 31634, 72238, 30512, 110226, 109013, 55487, 32218, 38641, 1811, 30537, 16, 31634, 72238, 29295, 198, 2513, 104721, 9039, 16556, 121894, 30512, 33563, 43514, 5486, 30537, 17, 31634, 72238, 16144, 97518, 9039, 112212, 58426, 112603, 30512, 102181, 50834, 109913, 58942, 33541, 1811, 55487, 32218, 16144, 17620, 111017, 31640, 17701, 124905, 76947, 104721, 9039, 1021, 1040, 8, 20230, 108167, 121406, 112973, 102924, 60632, 123253, 9174, 56770, 16144, 73686, 9039, 102052, 5486, 121894, 16144, 85707, 23538, 112603, 30512, 110968, 39926, 72315, 1811, 126738, 5486, 52591, 48552, 15682, 15143, 16144, 97518, 9039, 32943, 55031, 67016, 105324, 102802, 20834, 72342, 107515, 9174, 475, 314, 8264, 335, 505, 364, 3007, 7112, 734, 113853, 9039, 109713, 89154, 123437, 52414, 368, 314, 738, 510, 2513, 104721, 9039, 11, 743, 97518, 9039, 60, 284, 8264, 7, 85707, 23538, 112603, 1237, 457, 33710, 84477, 102494, 115478, 64178, 198, 3632, 20876, 43846, 2927, 16144, 107059, 22398, 109713, 89154, 123437, 52414, 1021, 2213, 8, 105352, 28713, 72342, 28713, 198, 2513, 124001, 198, 79958, 368, 16144, 105324, 102802, 121216, 15682, 111476, 56770, 52591, 48552, 55031, 101682, 76622, 18655, 100472, 198, 2513, 104721, 9039, 1021, 82, 41956, 8, 124001, 116700, 97518, 9039, 1021, 751, 50, 41956, 2189, 112212, 59739, 105557, 119775, 102181, 50834, 109913, 107290, 72315, 1811, 42634, 38248, 104, 33710, 104721, 9039, 1021, 1040, 8, 20230, 107322, 78244, 56051, 104721, 9039, 124001, 97518, 9039, 38641, 105879, 5486, 126229, 54926, 110018, 198, 576, 15682, 114001, 58942, 107515, 9174, 322, 1179, 3676, 505, 364, 3007, 7112, 1179, 341, 56770, 92, 505, 364, 3007, 7112, 443, 538, 1883, 2289, 3676, 5229, 314, 734, 1883, 368, 314, 1416, 4797, 9524, 8, 314, 2307, 9524, 1237, 420, 3551, 284, 314, 32440, 25, 2982, 7, 24, 570, 7712, 5074, 705, 865, 3957, 5971, 25, 837, 11, 8220, 25, 905, 20667, 335, 642, 738, 510, 82, 41956, 11, 743, 50, 41956, 60, 284, 8264, 39292, 7, 24, 570, 7712, 5074, 6030, 738, 510, 87, 3957, 5971, 11, 743, 55, 3957, 5971, 60, 284, 8264, 3800, 1237, 738, 510, 12402, 11, 743, 25934, 60, 284, 8264, 3660, 1237, 457, 109713, 89154, 123437, 52414, 29295, 107059, 22398, 55031, 97518, 9039, 20230, 109913, 78183, 114598, 5486, 117120, 22649, 107809, 96356, 15682, 112361, 38641, 109900, 72661, 111476, 576, 126229, 29295, 103470, 109020, 105879, 5486, 59739, 105557, 120950, 102181, 50834, 109913, 58942, 29295, 109215, 115717, 33541, 9174, 576, 3551, 13, 107420, 80805, 103906, 52118, 198, 2513, 104721, 9039, 198, 2513, 116700, 97518, 9039, 746, 42634, 38248, 104, 33710, 97518, 9039, 746, 3632, 20876, 43846, 2927, 16144, 102181, 50834, 74245, 15024, 15682, 5486, 59739, 105557, 20230, 113487, 50834, 118158, 121159, 16144, 19732, 108086, 38641, 9174, 2513, 104721, 9039, 19732, 116880, 54926, 42634, 38248, 104, 33710, 104721, 9039, 16144, 120613, 32977, 5486, 114715, 104721, 58942, 79721, 9174, 1723, 1883, 368, 314, 738, 510, 82, 41956, 11, 743, 50, 41956, 60, 4125, 56770, 39292, 7, 24, 570, 7712, 5074, 6030, 738, 510, 87, 3957, 5971, 11, 743, 55, 3957, 5971, 60, 284, 8264, 3800, 1237, 738, 510, 12402, 11, 743, 25934, 60, 284, 8264, 3660, 1237, 738, 53540, 284, 320, 72, 8, 591, 314, 443, 738, 32440, 284, 16702, 576, 3551, 516, 41956, 5378, 738, 721, 82, 41956, 284, 16702, 82, 41956, 5378, 443, 422, 320, 82, 41956, 1004, 2526, 314, 471, 26, 335, 422, 5570, 82, 41956, 1004, 2526, 314, 471, 26, 335, 443, 422, 320, 576, 3551, 83520, 8, 314, 471, 26, 335, 422, 320, 12402, 8, 314, 471, 26, 335, 443, 32440, 1004, 60, 284, 420, 3551, 2036, 3957, 5971, 949, 364, 55, 6, 551, 364, 46, 7112, 721, 82, 41956, 1004, 60, 284, 865, 3957, 5971, 949, 364, 55, 6, 551, 364, 46, 7112, 1416, 420, 7428, 2358, 32440, 11, 865, 3957, 5971, 25, 758, 576, 3551, 2036, 3957, 5971, 18605, 642, 743, 50, 41956, 2551, 82, 41956, 1237, 743, 55, 3957, 5971, 3555, 87, 3957, 5971, 1237, 443, 738, 13946, 284, 11294, 52055, 1161, 41956, 1237, 738, 13946, 284, 11294, 52055, 2551, 82, 41956, 1237, 422, 320, 53245, 8, 314, 443, 420, 7428, 2358, 12402, 25, 837, 14419, 743, 25934, 3800, 1237, 335, 20667, 443, 738, 13946, 284, 11294, 52055, 1420, 3551, 516, 41956, 1237, 738, 13946, 284, 11294, 52055, 1161, 41956, 1237, 738, 2704, 284, 320, 53245, 8, 949, 1595, 52055, 25, 3654, 53245, 5658, 551, 443, 1595, 5971, 2851, 25, 3654, 576, 3551, 2036, 3957, 5971, 949, 364, 55, 6, 551, 364, 46, 6, 5658, 26, 1595, 5971, 2851, 25, 3654, 87, 3957, 5971, 949, 364, 55, 6, 551, 364, 46, 6, 5658, 26, 471, 320, 366, 614, 2022, 429, 5924, 760, 366, 12198, 443, 32440, 1185, 576, 3551, 516, 41956, 92, 32440, 1185, 82, 41956, 92, 443, 5815, 17237, 72, 8, 591, 420, 74235, 1998, 9317, 5815, 17237, 72, 8, 591, 53540, 1998, 9317, 6338, 366, 614, 2022, 429, 5924, 12788, 760, 366, 614, 7457, 2899, 5474, 614, 29, 694, 614, 29, 694, 614, 29, 7048, 457, 85701, 16556, 5486, 107059, 22398, 109713, 89154, 123437, 52414, 29295, 5486, 106826, 84477, 52591, 48552, 198, 56770, 30512, 11883, 102532, 97518, 9039, 109713, 89154, 123437, 52414, 20230, 102181, 50834, 109913, 58942, 110071, 102677, 100909, 38641, 1811, 107059, 22398, 109713, 89154, 123437, 52414, 16144, 198, 2513, 15682, 5486, 115303, 118821, 90962, 52884, 109531, 110548, 16556, 56051, 1811, 123682, 32977, 111476, 2513, 104721, 9039, 15682, 110904, 116254, 26854, 112603, 16556, 114652, 116898, 47884, 59739, 72661, 107322, 78244, 125545, 1811, 123011, 62004, 106956, 112603, 122291, 33503, 90962, 52884, 109531, 110548, 116446, 108048, 108422, 33121, 30512, 107420, 80805, 103906, 103306, 23187, 62004, 104984, 57980, 117714, 38641, 9174, 56770, 52591, 48552, 16144, 106391, 17161, 15682, 5486, 88852, 16144, 21405, 4119, 20230, 123011, 107436, 33334, 50834, 79721, 1811, 50520, 111, 106624, 15682, 5486, 116974, 56051, 15143, 119695, 116229, 16144, 108134, 30512, 48154, 126229, 72315, 9174, 827, 114244, 4119, 47774, 56770, 52591, 48552, 198, 7511, 73686, 9039, 9432, 114941, 31431, 112603, 9432, 2513, 104721, 9039, 19732, 116700, 97518, 9039, 16144, 105104, 28713, 118821, 31634, 72238, 30512, 110226, 109013, 55487, 32218, 9174, 116700, 97518, 9039, 102052, 5486, 112603, 16556, 103470, 97518, 9039, 30512, 110968, 17663, 115789, 108608, 109807, 107803, 5486, 73686, 9039, 15682, 74245, 60358, 16144, 198, 827, 108474, 84477, 1721, 47774, 52591, 48552, 30512, 105324, 102802, 121406, 104468, 20251, 103830, 44971, 102832, 114615, 64121, 198, 15143, 119695, 116229, 16144, 13177, 52591, 48552, 16144, 33710, 64178, 10646, 102052, 59739, 105557, 120950, 61633, 29295, 61304, 116216, 61689, 1811, 52591, 48552, 15682, 44971, 108506, 122835, 16144, 28713, 102802, 20230, 5486, 59614, 101860, 122617, 29295, 112361, 110480, 33144, 16556, 105324, 102802, 20834, 84389, 123207, 105110, 100604, 16144, 38641, 7, 13177, 118899, 15143, 30512, 27704, 109013, 17792, 70141, 76622, 16144, 15143, 39530, 17701, 103722, 117503, 13177, 68869, 124905, 30297, 17905, 16556, 115924, 103359, 20230, 106154, 30369, 100909, 10646, 126229, 8, 9174, 52591, 48552, 30512, 33710, 107610, 71289, 77195, 17620, 58699, 238, 5486, 101182, 16995, 15682, 102750, 71634, 103646, 97518, 9039, 32943, 16556, 105324, 102802, 20834, 39926, 112987, 76622, 107515, 1811, 31640, 78183, 112586, 108149, 112568, 16144, 3676, 97718, 97518, 9039, 16144, 20251, 103830, 44971, 115882, 113245, 64121, 105324, 102802, 20834, 39926, 72315, 118844, 30512, 106154, 30369, 118733, 5486, 109713, 89154, 123437, 52414, 29295, 44971, 108506, 11972, 107001, 104983, 20230, 121410, 18904, 112361, 110480, 87217, 16556, 105324, 102802, 20834, 107001, 102677, 105908, 33563, 110322, 84389, 33541, 9174, 102181, 50834, 74245, 56051, 33710, 84477, 102494, 115478, 64178, 16144, 61304, 43032, 37087, 33014, 30512, 5486, 88852, 16144, 121159, 4119, 20230, 123011, 62004, 79721, 9174, 56770, 52591, 48552, 121142, 103470, 5486, 97518, 9039, 109713, 89154, 123437, 52414, 20230, 104721, 107800, 100909, 111848, 198, 576, 126229, 16144, 23951, 37656, 29295, 46034, 56965, 103351, 32149, 110241, 33121, 107515, 1811, 123682, 5486, 103214, 64121, 121697, 71289, 117120, 22649, 16144, 89753, 33121, 15682, 5486, 107059, 22398, 109713, 89154, 123437, 52414, 16144, 110018, 19732, 112361, 38641, 1811, 88852, 16144, 60868, 108969, 33710, 4119, 30512, 2123, 50, 32636, 20230, 121298, 121256, 9174, 30813, 38144, 5486, 97518, 9039, 109713, 89154, 123437, 52414, 20230, 112990, 5486, 121894, 7, 119526, 8, 16144, 118551, 71289, 41190, 5486, 59739, 109709, 42634, 76428, 48552, 30512, 103283, 102494, 115478, 64178, 20230, 125174, 121216, 126172, 115737, 31431, 33541, 1811, 109713, 89154, 123437, 52414, 15682, 5486, 119526, 16144, 52563, 71289, 124773, 111661, 61398, 20230, 114363, 104611, 108608, 102677, 100909, 38641, 1811, 112990, 115132, 115507, 102663, 38248, 115, 78205, 113883, 91875, 19967, 30512, 105184, 32149, 109013, 31431, 5486, 121432, 116155, 71289, 26955, 94, 105714, 54926, 105352, 91774, 33035, 21105, 234, 114652, 26854, 31431, 33541, 1811, 42634, 76428, 48552, 16144, 125174, 121216, 15682, 5486, 33671, 18904, 19732, 58426, 59739, 105557, 16144, 17, 18904, 20230, 78183, 28713, 76947, 50338, 108323, 54926, 103911, 23187, 38641, 9174, 827, 68042, 65575, 4119, 47774, 107059, 22398, 55031, 97518, 9039, 109713, 89154, 123437, 52414, 20230, 102181, 50834, 109913, 107800, 33710, 84477, 102494, 115478, 64178, 3632, 20876, 43846, 2927, 198, 475, 341, 56770, 335, 505, 364, 3007, 1025, 475, 8925, 505, 2825, 12198, 1025, 475, 2825, 2213, 4425, 1025, 1723, 1883, 368, 341, 1040, 510, 82, 41956, 11, 743, 50, 41956, 60, 284, 8264, 39292, 7, 24, 570, 7712, 5074, 1125, 1040, 510, 87, 3957, 5971, 11, 743, 55, 3957, 5971, 60, 284, 8264, 3800, 317, 1040, 510, 12402, 11, 743, 25934, 60, 284, 8264, 3660, 317, 1040, 53540, 284, 320, 72, 8, 591, 341, 1040, 721, 82, 41956, 284, 16702, 82, 41956, 947, 333, 5570, 82, 41956, 1004, 2526, 314, 471, 26, 457, 333, 320, 12402, 8, 314, 471, 26, 457, 646, 41956, 1004, 60, 284, 865, 3957, 5971, 949, 364, 55, 6, 551, 364, 46, 1025, 751, 50, 41956, 2551, 82, 41956, 317, 751, 55, 3957, 5971, 3555, 87, 3957, 5971, 317, 333, 320, 53245, 8, 341, 2499, 1040, 2704, 284, 320, 53245, 8, 18072, 63, 52055, 25, 3654, 53245, 5658, 6394, 63, 5971, 2851, 25, 3654, 87, 3957, 5971, 949, 364, 55, 6, 551, 364, 46, 6, 25881, 693, 2456, 2691, 2022, 429, 5924, 891, 27, 12198, 198, 82, 41956, 1185, 82, 41956, 534, 49997, 17237, 72, 8, 591, 53540, 1998, 10792, 10381, 2691, 2022, 429, 5924, 12788, 891, 2691, 7457, 2899, 5474, 614, 397, 524, 614, 397, 317, 1040, 5238, 284, 2330, 58, 15, 11, 220, 16, 11, 220, 17, 1282, 58, 18, 11, 220, 19, 11, 220, 20, 1282, 58, 21, 11, 220, 22, 11, 220, 23, 1282, 58, 15, 11, 220, 18, 11, 220, 21, 1282, 58, 16, 11, 220, 19, 11, 220, 22, 1282, 58, 17, 11, 220, 20, 11, 220, 23, 1282, 58, 15, 11, 220, 19, 11, 220, 23, 1282, 58, 17, 11, 220, 19, 11, 220, 21, 1282, 947, 1040, 3160, 284, 5238, 1996, 280, 2000, 320, 1169, 602, 284, 220, 15, 26, 602, 366, 3160, 26, 602, 2516, 341, 1040, 510, 64, 11, 293, 11, 272, 60, 284, 5238, 1004, 947, 1040, 2851, 284, 32440, 15848, 947, 333, 320, 3517, 1024, 2851, 2093, 32440, 18990, 60, 1024, 2851, 2093, 32440, 12729, 2526, 341, 827, 4324, 3676, 1883, 114424, 103722, 198, 12, 4324, 3676, 1883, 114424, 103722, 220, 1721, 25, 220, 18, 18028, 18, 68759, 117718, 114567, 114457, 116825, 109749, 198, 12, 4324, 3676, 1883, 114424, 103722, 220, 2437, 25, 116381, 37823, 48552, 56051, 68759, 22398, 30832, 20230, 55, 116825, 105784, 198, 12, 4324, 3676, 1883, 114424, 103722, 220, 2839, 25, 106982, 33710, 66953, 103223, 16556, 104284, 43514, 109972, 76622, 30512, 104662, 109315, 198, 12, 4324, 3676, 1883, 114424, 103722, 220, 2371, 25, 116381, 112718, 16144, 109713, 89154, 123437, 52414, 30512, 56770, 16556, 97518, 9039, 20230, 102181, 50834, 109913, 105262, 198, 12, 4324, 3676, 1883, 114424, 103722, 220, 2304, 25, 35752, 16556, 121894, 30512, 109713, 89154, 123437, 52414, 103223, 102540, 32943, 20230, 55999, 19361, 54926, 198, 12, 4324, 3676, 1883, 114424, 103722, 220, 2705, 25, 94632, 115507, 102663, 38248, 115, 78205, 113883, 42634, 76428, 48552, 30512, 47260, 108304, 29220, 71634, 20230, 125174, 121406, 198, 12, 4324, 3676, 1883, 114424, 103722, 220, 2589, 25, 18049, 110, 103202, 16144, 123259, 114172, 30512, 30813, 116421, 109416, 30369, 198, 12, 4324, 3676, 1883, 114424, 103722, 220, 2318, 25, 73579, 52591, 48552, 16556, 43568, 102147, 226, 26854, 88356, 122282, 30512, 66870, 47884, 198, 12, 4324, 3676, 1883, 114424, 103722, 220, 2545, 25, 44605, 52591, 48552, 16556, 43568, 102147, 226, 26854, 117120, 22649, 30512, 66870, 47884, 198, 12, 4324, 3676, 1883, 114424, 103722, 220, 605, 25, 125263, 14558, 113468, 102040, 102860, 32131, 15682, 43568, 126120, 117657, 114657, 73579, 124905, 76947, 198, 19967, 13153, 30046, 25, 125372, 108891, 105330, 198, 19967, 13153 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8, 116825, 26854, 105557, 82533, 62004, 33541, 1811, 114941, 31431, 112603, 15682, 5486, 105104, 28713, 118821, 31634, 72238, 30512, 110226, 109013, 55487, 32218, 38641, 1811, 30537, 16, 31634, 72238, 29295, 198, 2513, 104721, 9039, 16556, 121894, 30512, 33563, 43514, 5486, 30537, 17, 31634, 72238, 16144, 97518, 9039, 112212, 58426, 112603, 30512, 102181, 50834, 109913, 58942, 33541, 1811, 55487, 32218, 16144, 17620, 111017, 31640, 17701, 124905, 76947, 104721, 9039, 1021, 1040, 8, 20230, 108167, 121406, 112973, 102924, 60632, 123253, 9174, 56770, 16144, 73686, 9039, 102052, 5486, 121894, 16144, 85707, 23538, 112603, 30512, 110968, 39926, 72315, 1811, 126738, 5486, 52591, 48552, 15682, 15143, 16144, 97518, 9039, 32943, 55031, 67016, 105324, 102802, 20834, 72342, 107515, 9174, 475, 314, 8264, 335, 505, 364, 3007, 7112, 734, 113853, 9039, 109713, 89154, 123437, 52414, 368, 314, 738, 510, 2513, 104721, 9039, 11, 743, 97518, 9039, 60, 284, 8264, 7, 85707, 23538, 112603, 1237, 457, 33710, 84477, 102494, 115478, 64178, 198, 3632, 20876, 43846, 2927, 16144, 107059, 22398, 109713, 89154, 123437, 52414, 1021, 2213, 8, 105352, 28713, 72342, 28713, 198, 2513, 124001, 198, 79958, 368, 16144, 105324, 102802, 121216, 15682, 111476, 56770, 52591, 48552, 55031, 101682, 76622, 18655, 100472, 198, 2513, 104721, 9039, 1021, 82, 41956, 8, 124001, 116700, 97518, 9039, 1021, 751, 50, 41956, 2189, 112212, 59739, 105557, 119775, 102181, 50834, 109913, 107290, 72315, 1811, 42634, 38248, 104, 33710, 104721, 9039, 1021, 1040, 8, 20230, 107322, 78244, 56051, 104721, 9039, 124001, 97518, 9039, 38641, 105879, 5486, 126229, 54926, 110018, 198, 576, 15682, 114001, 58942, 107515, 9174, 322, 1179, 3676, 505, 364, 3007, 7112, 1179, 341, 56770, 92, 505, 364, 3007, 7112, 443, 538, 1883, 2289, 3676, 5229, 314, 734, 1883, 368, 314, 1416, 4797, 9524, 8, 314, 2307, 9524, 1237, 420, 3551, 284, 314, 32440, 25, 2982, 7, 24, 570, 7712, 5074, 705, 865, 3957, 5971, 25, 837, 11, 8220, 25, 905, 20667, 335, 642, 738, 510, 82, 41956, 11, 743, 50, 41956, 60, 284, 8264, 39292, 7, 24, 570, 7712, 5074, 6030, 738, 510, 87, 3957, 5971, 11, 743, 55, 3957, 5971, 60, 284, 8264, 3800, 1237, 738, 510, 12402, 11, 743, 25934, 60, 284, 8264, 3660, 1237, 457, 109713, 89154, 123437, 52414, 29295, 107059, 22398, 55031, 97518, 9039, 20230, 109913, 78183, 114598, 5486, 117120, 22649, 107809, 96356, 15682, 112361, 38641, 109900, 72661, 111476, 576, 126229, 29295, 103470, 109020, 105879, 5486, 59739, 105557, 120950, 102181, 50834, 109913, 58942, 29295, 109215, 115717, 33541, 9174, 576, 3551, 13, 107420, 80805, 103906, 52118, 198, 2513, 104721, 9039, 198, 2513, 116700, 97518, 9039, 746, 42634, 38248, 104, 33710, 97518, 9039, 746, 3632, 20876, 43846, 2927, 16144, 102181, 50834, 74245, 15024, 15682, 5486, 59739, 105557, 20230, 113487, 50834, 118158, 121159, 16144, 19732, 108086, 38641, 9174, 2513, 104721, 9039, 19732, 116880, 54926, 42634, 38248, 104, 33710, 104721, 9039, 16144, 120613, 32977, 5486, 114715, 104721, 58942, 79721, 9174, 1723, 1883, 368, 314, 738, 510, 82, 41956, 11, 743, 50, 41956, 60, 4125, 56770, 39292, 7, 24, 570, 7712, 5074, 6030, 738, 510, 87, 3957, 5971, 11, 743, 55, 3957, 5971, 60, 284, 8264, 3800, 1237, 738, 510, 12402, 11, 743, 25934, 60, 284, 8264, 3660, 1237, 738, 53540, 284, 320, 72, 8, 591, 314, 443, 738, 32440, 284, 16702, 576, 3551, 516, 41956, 5378, 738, 721, 82, 41956, 284, 16702, 82, 41956, 5378, 443, 422, 320, 82, 41956, 1004, 2526, 314, 471, 26, 335, 422, 5570, 82, 41956, 1004, 2526, 314, 471, 26, 335, 443, 422, 320, 576, 3551, 83520, 8, 314, 471, 26, 335, 422, 320, 12402, 8, 314, 471, 26, 335, 443, 32440, 1004, 60, 284, 420, 3551, 2036, 3957, 5971, 949, 364, 55, 6, 551, 364, 46, 7112, 721, 82, 41956, 1004, 60, 284, 865, 3957, 5971, 949, 364, 55, 6, 551, 364, 46, 7112, 1416, 420, 7428, 2358, 32440, 11, 865, 3957, 5971, 25, 758, 576, 3551, 2036, 3957, 5971, 18605, 642, 743, 50, 41956, 2551, 82, 41956, 1237, 743, 55, 3957, 5971, 3555, 87, 3957, 5971, 1237, 443, 738, 13946, 284, 11294, 52055, 1161, 41956, 1237, 738, 13946, 284, 11294, 52055, 2551, 82, 41956, 1237, 422, 320, 53245, 8, 314, 443, 420, 7428, 2358, 12402, 25, 837, 14419, 743, 25934, 3800, 1237, 335, 20667, 443, 738, 13946, 284, 11294, 52055, 1420, 3551, 516, 41956, 1237, 738, 13946, 284, 11294, 52055, 1161, 41956, 1237, 738, 2704, 284, 320, 53245, 8, 949, 1595, 52055, 25, 3654, 53245, 5658, 551, 443, 1595, 5971, 2851, 25, 3654, 576, 3551, 2036, 3957, 5971, 949, 364, 55, 6, 551, 364, 46, 6, 5658, 26, 1595, 5971, 2851, 25, 3654, 87, 3957, 5971, 949, 364, 55, 6, 551, 364, 46, 6, 5658, 26, 471, 320, 366, 614, 2022, 429, 5924, 760, 366, 12198, 443, 32440, 1185, 576, 3551, 516, 41956, 92, 32440, 1185, 82, 41956, 92, 443, 5815, 17237, 72, 8, 591, 420, 74235, 1998, 9317, 5815, 17237, 72, 8, 591, 53540, 1998, 9317, 6338, 366, 614, 2022, 429, 5924, 12788, 760, 366, 614, 7457, 2899, 5474, 614, 29, 694, 614, 29, 694, 614, 29, 7048, 457, 85701, 16556, 5486, 107059, 22398, 109713, 89154, 123437, 52414, 29295, 5486, 106826, 84477, 52591, 48552, 198, 56770, 30512, 11883, 102532, 97518, 9039, 109713, 89154, 123437, 52414, 20230, 102181, 50834, 109913, 58942, 110071, 102677, 100909, 38641, 1811, 107059, 22398, 109713, 89154, 123437, 52414, 16144, 198, 2513, 15682, 5486, 115303, 118821, 90962, 52884, 109531, 110548, 16556, 56051, 1811, 123682, 32977, 111476, 2513, 104721, 9039, 15682, 110904, 116254, 26854, 112603, 16556, 114652, 116898, 47884, 59739, 72661, 107322, 78244, 125545, 1811, 123011, 62004, 106956, 112603, 122291, 33503, 90962, 52884, 109531, 110548, 116446, 108048, 108422, 33121, 30512, 107420, 80805, 103906, 103306, 23187, 62004, 104984, 57980, 117714, 38641, 9174, 56770, 52591, 48552, 16144, 106391, 17161, 15682, 5486, 88852, 16144, 21405, 4119, 20230, 123011, 107436, 33334, 50834, 79721, 1811, 50520, 111, 106624, 15682, 5486, 116974, 56051, 15143, 119695, 116229, 16144, 108134, 30512, 48154, 126229, 72315, 9174, 827, 114244, 4119, 47774, 56770, 52591, 48552, 198, 7511, 73686, 9039, 9432, 114941, 31431, 112603, 9432, 2513, 104721, 9039, 19732, 116700, 97518, 9039, 16144, 105104, 28713, 118821, 31634, 72238, 30512, 110226, 109013, 55487, 32218, 9174, 116700, 97518, 9039, 102052, 5486, 112603, 16556, 103470, 97518, 9039, 30512, 110968, 17663, 115789, 108608, 109807, 107803, 5486, 73686, 9039, 15682, 74245, 60358, 16144, 198, 827, 108474, 84477, 1721, 47774, 52591, 48552, 30512, 105324, 102802, 121406, 104468, 20251, 103830, 44971, 102832, 114615, 64121, 198, 15143, 119695, 116229, 16144, 13177, 52591, 48552, 16144, 33710, 64178, 10646, 102052, 59739, 105557, 120950, 61633, 29295, 61304, 116216, 61689, 1811, 52591, 48552, 15682, 44971, 108506, 122835, 16144, 28713, 102802, 20230, 5486, 59614, 101860, 122617, 29295, 112361, 110480, 33144, 16556, 105324, 102802, 20834, 84389, 123207, 105110, 100604, 16144, 38641, 7, 13177, 118899, 15143, 30512, 27704, 109013, 17792, 70141, 76622, 16144, 15143, 39530, 17701, 103722, 117503, 13177, 68869, 124905, 30297, 17905, 16556, 115924, 103359, 20230, 106154, 30369, 100909, 10646, 126229, 8, 9174, 52591, 48552, 30512, 33710, 107610, 71289, 77195, 17620, 58699, 238, 5486, 101182, 16995, 15682, 102750, 71634, 103646, 97518, 9039, 32943, 16556, 105324, 102802, 20834, 39926, 112987, 76622, 107515, 1811, 31640, 78183, 112586, 108149, 112568, 16144, 3676, 97718, 97518, 9039, 16144, 20251, 103830, 44971, 115882, 113245, 64121, 105324, 102802, 20834, 39926, 72315, 118844, 30512, 106154, 30369, 118733, 5486, 109713, 89154, 123437, 52414, 29295, 44971, 108506, 11972, 107001, 104983, 20230, 121410, 18904, 112361, 110480, 87217, 16556, 105324, 102802, 20834, 107001, 102677, 105908, 33563, 110322, 84389, 33541, 9174, 102181, 50834, 74245, 56051, 33710, 84477, 102494, 115478, 64178, 16144, 61304, 43032, 37087, 33014, 30512, 5486, 88852, 16144, 121159, 4119, 20230, 123011, 62004, 79721, 9174, 56770, 52591, 48552, 121142, 103470, 5486, 97518, 9039, 109713, 89154, 123437, 52414, 20230, 104721, 107800, 100909, 111848, 198, 576, 126229, 16144, 23951, 37656, 29295, 46034, 56965, 103351, 32149, 110241, 33121, 107515, 1811, 123682, 5486, 103214, 64121, 121697, 71289, 117120, 22649, 16144, 89753, 33121, 15682, 5486, 107059, 22398, 109713, 89154, 123437, 52414, 16144, 110018, 19732, 112361, 38641, 1811, 88852, 16144, 60868, 108969, 33710, 4119, 30512, 2123, 50, 32636, 20230, 121298, 121256, 9174, 30813, 38144, 5486, 97518, 9039, 109713, 89154, 123437, 52414, 20230, 112990, 5486, 121894, 7, 119526, 8, 16144, 118551, 71289, 41190, 5486, 59739, 109709, 42634, 76428, 48552, 30512, 103283, 102494, 115478, 64178, 20230, 125174, 121216, 126172, 115737, 31431, 33541, 1811, 109713, 89154, 123437, 52414, 15682, 5486, 119526, 16144, 52563, 71289, 124773, 111661, 61398, 20230, 114363, 104611, 108608, 102677, 100909, 38641, 1811, 112990, 115132, 115507, 102663, 38248, 115, 78205, 113883, 91875, 19967, 30512, 105184, 32149, 109013, 31431, 5486, 121432, 116155, 71289, 26955, 94, 105714, 54926, 105352, 91774, 33035, 21105, 234, 114652, 26854, 31431, 33541, 1811, 42634, 76428, 48552, 16144, 125174, 121216, 15682, 5486, 33671, 18904, 19732, 58426, 59739, 105557, 16144, 17, 18904, 20230, 78183, 28713, 76947, 50338, 108323, 54926, 103911, 23187, 38641, 9174, 827, 68042, 65575, 4119, 47774, 107059, 22398, 55031, 97518, 9039, 109713, 89154, 123437, 52414, 20230, 102181, 50834, 109913, 107800, 33710, 84477, 102494, 115478, 64178, 3632, 20876, 43846, 2927, 198, 475, 341, 56770, 335, 505, 364, 3007, 1025, 475, 8925, 505, 2825, 12198, 1025, 475, 2825, 2213, 4425, 1025, 1723, 1883, 368, 341, 1040, 510, 82, 41956, 11, 743, 50, 41956, 60, 284, 8264, 39292, 7, 24, 570, 7712, 5074, 1125, 1040, 510, 87, 3957, 5971, 11, 743, 55, 3957, 5971, 60, 284, 8264, 3800, 317, 1040, 510, 12402, 11, 743, 25934, 60, 284, 8264, 3660, 317, 1040, 53540, 284, 320, 72, 8, 591, 341, 1040, 721, 82, 41956, 284, 16702, 82, 41956, 947, 333, 5570, 82, 41956, 1004, 2526, 314, 471, 26, 457, 333, 320, 12402, 8, 314, 471, 26, 457, 646, 41956, 1004, 60, 284, 865, 3957, 5971, 949, 364, 55, 6, 551, 364, 46, 1025, 751, 50, 41956, 2551, 82, 41956, 317, 751, 55, 3957, 5971, 3555, 87, 3957, 5971, 317, 333, 320, 53245, 8, 341, 2499, 1040, 2704, 284, 320, 53245, 8, 18072, 63, 52055, 25, 3654, 53245, 5658, 6394, 63, 5971, 2851, 25, 3654, 87, 3957, 5971, 949, 364, 55, 6, 551, 364, 46, 6, 25881, 693, 2456, 2691, 2022, 429, 5924, 891, 27, 12198, 198, 82, 41956, 1185, 82, 41956, 534, 49997, 17237, 72, 8, 591, 53540, 1998, 10792, 10381, 2691, 2022, 429, 5924, 12788, 891, 2691, 7457, 2899, 5474, 614, 397, 524, 614, 397, 317, 1040, 5238, 284, 2330, 58, 15, 11, 220, 16, 11, 220, 17, 1282, 58, 18, 11, 220, 19, 11, 220, 20, 1282, 58, 21, 11, 220, 22, 11, 220, 23, 1282, 58, 15, 11, 220, 18, 11, 220, 21, 1282, 58, 16, 11, 220, 19, 11, 220, 22, 1282, 58, 17, 11, 220, 20, 11, 220, 23, 1282, 58, 15, 11, 220, 19, 11, 220, 23, 1282, 58, 17, 11, 220, 19, 11, 220, 21, 1282, 947, 1040, 3160, 284, 5238, 1996, 280, 2000, 320, 1169, 602, 284, 220, 15, 26, 602, 366, 3160, 26, 602, 2516, 341, 1040, 510, 64, 11, 293, 11, 272, 60, 284, 5238, 1004, 947, 1040, 2851, 284, 32440, 15848, 947, 333, 320, 3517, 1024, 2851, 2093, 32440, 18990, 60, 1024, 2851, 2093, 32440, 12729, 2526, 341, 827, 4324, 3676, 1883, 114424, 103722, 198, 12, 4324, 3676, 1883, 114424, 103722, 220, 1721, 25, 220, 18, 18028, 18, 68759, 117718, 114567, 114457, 116825, 109749, 198, 12, 4324, 3676, 1883, 114424, 103722, 220, 2437, 25, 116381, 37823, 48552, 56051, 68759, 22398, 30832, 20230, 55, 116825, 105784, 198, 12, 4324, 3676, 1883, 114424, 103722, 220, 2839, 25, 106982, 33710, 66953, 103223, 16556, 104284, 43514, 109972, 76622, 30512, 104662, 109315, 198, 12, 4324, 3676, 1883, 114424, 103722, 220, 2371, 25, 116381, 112718, 16144, 109713, 89154, 123437, 52414, 30512, 56770, 16556, 97518, 9039, 20230, 102181, 50834, 109913, 105262, 198, 12, 4324, 3676, 1883, 114424, 103722, 220, 2304, 25, 35752, 16556, 121894, 30512, 109713, 89154, 123437, 52414, 103223, 102540, 32943, 20230, 55999, 19361, 54926, 198, 12, 4324, 3676, 1883, 114424, 103722, 220, 2705, 25, 94632, 115507, 102663, 38248, 115, 78205, 113883, 42634, 76428, 48552, 30512, 47260, 108304, 29220, 71634, 20230, 125174, 121406, 198, 12, 4324, 3676, 1883, 114424, 103722, 220, 2589, 25, 18049, 110, 103202, 16144, 123259, 114172, 30512, 30813, 116421, 109416, 30369, 198, 12, 4324, 3676, 1883, 114424, 103722, 220, 2318, 25, 73579, 52591, 48552, 16556, 43568, 102147, 226, 26854, 88356, 122282, 30512, 66870, 47884, 198, 12, 4324, 3676, 1883, 114424, 103722, 220, 2545, 25, 44605, 52591, 48552, 16556, 43568, 102147, 226, 26854, 117120, 22649, 30512, 66870, 47884, 198, 12, 4324, 3676, 1883, 114424, 103722, 220, 605, 25, 125263, 14558, 113468, 102040, 102860, 32131, 15682, 43568, 126120, 117657, 114657, 73579, 124905, 76947, 198, 19967, 13153, 30046, 25, 125372, 108891, 105330, 198, 19967, 13153 ]
[ 9080, 25, 220, 2366, 16, 8107, 1721, 9953, 1419, 9080, 50587, 1049, 3443, 18, 13177, 15143, 39530, 25, 116381, 112718, 16144, 109713, 89154, 123437, 52414, 30512, 56770, 368, 16556, 97518, 9039, 20230, 102181, 50834, 109913, 105262, 118587, 13177, 4110, 3676, 1883, 114424, 103722, 10646, 114971, 20230, 103214, 64121, 104526, 104004, 32149, 105459, 16556, 27384, 111044, 20230, 23226, 116952, 1811, 128001, 128000, 112073, 103826, 5486, 69847, 81219, 25827, 15682, 9174, 22656, 117073, 97518, 101778, 32977, 103188, 48154, 15024, 126172, 16995, 16, 9080, 121711, 79721, 9174, 77693, 77181, 37271, 18904, 16144, 80172, 83932, 20230, 17129, 16995, 31431, 17129, 109954, 9174, 567, 108295, 100204, 62004, 20230, 198, 30813, 38144, 21, 9953, 109156, 76947, 105755, 5486, 102208, 118331, 61398, 50667, 16556, 89046, 117073, 104466, 108167, 109415, 125398, 13177, 8107, 35330, 108134, 89753, 20834, 109606, 10646, 9174, 37271, 18904, 16144, 13177, 8107, 35330, 108134, 89753, 20834, 109606, 10646, 15682, 5486, 61826, 9953, 16144, 102433, 8107, 35330, 101513, 106391, 113115, 54926, 109054, 110590, 121551, 112212, 123085, 8107, 35330, 101513, 106391, 16144, 107430, 102351, 38129, 54926, 80805, 102741, 109713, 29295, 68759, 33710, 111234, 39880, 99750, 108208, 39926, 5486, 104774, 106696, 55999, 19361, 60868, 112164, 11972, 20230, 47585, 56051, 103664, 6549, 32307, 14558, 16144, 8107, 35330, 108134, 123863, 119526, 29295, 48915, 34048, 20230, 118487, 44647, 102, 54926, 102677, 109606, 115717, 33541, 9174, 88852, 30512, 48154, 111182, 72315, 9174, 83354, 198, 8107, 35330, 108134, 20713, 25963, 44597, 32307, 14558, 89753, 20834, 101678, 33857, 39850, 64178, 16556, 16937, 37656, 39880, 122086, 22398, 117953, 99, 103984, 11795, 223, 15017, 250, 112984, 198, 104971, 117811, 83354, 198, 35417, 9554, 8107, 35330, 16144, 33563, 117126, 42506, 17599, 112, 110226, 71289, 110698, 47000, 103350, 102781, 30512, 106529, 30297, 102433, 8107, 35330, 101513, 106391, 605, 10, 122510, 10110, 111344, 119735, 20713, 9080, 5486, 65299, 106696, 22398, 39850, 64178, 111848, 16937, 37656, 39880, 122086, 22398, 114475, 76622, 5486, 75146, 17920, 236, 8107, 35330, 122532, 71289, 105514, 13372, 104309, 8107, 35330, 123863, 121568, 108134, 82420, 20713, 25963, 44597, 32307, 14558, 29295, 48915, 34048, 20230, 89753, 118158, 19732, 125053, 56051, 1811, 42016, 9080, 103296, 20230, 108134, 16144, 109161, 11883, 123160, 101307, 104698, 15682, 114140, 84389, 126386, 29295, 5486, 89753, 20834, 14558, 9039, 15682, 37271, 74482, 5486, 122270, 26955, 94, 27384, 54926, 125396, 32977, 101182, 102677, 1811, 101513, 106391, 55031, 33035, 78943, 114475, 107674, 104970, 103984, 11795, 223, 15682, 15017, 250, 112984, 30512, 27704, 109013, 9174, 102433, 8107, 35330, 101513, 106391, 605, 10, 122510, 103732, 104533, 5486, 89753, 118158, 104468, 10110, 20713, 7705, 75146, 17920, 236, 8107, 35330, 122532, 19732, 105514, 13372, 10110, 103664, 34617, 32307, 20713, 103633, 14558, 116729, 25963, 7705, 75146, 17920, 236, 8107, 35330, 122532, 19732, 105514, 13372, 5486, 21990, 8107, 9953, 9080, 10110, 103664, 20713, 20713, 60596, 32307, 66224, 103633, 14558, 116729, 34617, 7705, 75146, 17920, 236, 8107, 35330, 122532, 19732, 105514, 13372, 5486, 21990, 8107, 9953, 9080, 5486, 101987, 32938, 10110, 103664, 44597, 32307, 25963, 103633, 14558, 7705, 90581, 16144, 82420, 103664, 20713, 25963, 44597, 32307, 14558, 115397, 34048, 15682, 42016, 15120, 16144, 118065, 30046, 108134, 29295, 116880, 103792, 125396, 107407, 9174, 20713, 9080, 5486, 61304, 30046, 38093, 91774, 56051, 101513, 106391, 16144, 53610, 102687, 105635, 15120, 104703, 22649, 30926, 101544, 33503, 103732, 104533, 5486, 44597, 9953, 66115, 9080, 5486, 107430, 102351, 29295, 65299, 106696, 117718, 17701, 100472, 114001, 47000, 104774, 106696, 125523, 107248, 56051, 118733, 5486, 16937, 37656, 39880, 122086, 22398, 29295, 102404, 21990, 109807, 74482, 5486, 65299, 106696, 22398, 103359, 105226, 102741, 112508, 108695, 20230, 50338, 98871, 30512, 103963, 117943, 56051, 29295, 5486, 42016, 103826, 16144, 39850, 64178, 15682, 20713, 66115, 9080, 103296, 20230, 110745, 33857, 20230, 101513, 106391, 110366, 20230, 37705, 124195, 105898, 1811, 39850, 64178, 16144, 44915, 15682, 77693, 108422, 33121, 108901, 26854, 31431, 5486, 119869, 20230, 87447, 107248, 56051, 107430, 102351, 107118, 103283, 16144, 109242, 9039, 16144, 107430, 102351, 29295, 87447, 107248, 107113, 102677, 9174, 58426, 104983, 5486, 118065, 30046, 111363, 114397, 123160, 11883, 108968, 16556, 33655, 78183, 115032, 108134, 39276, 123141, 104309, 20230, 47585, 84389, 101732, 121568, 108134, 16144, 104774, 106696, 29295, 89753, 118158, 19732, 64121, 110071, 9174, 85701, 15682, 37271, 18904, 16144, 13177, 8107, 35330, 108134, 89753, 20834, 109606, 118587, 108167, 109415, 28713, 106518, 106613, 118331, 61398, 16144, 77219, 38641, 9174, 80539, 17905, 61304, 120950, 102208, 68759, 118283, 101198, 111848, 78943, 45893, 77181, 115515, 18904, 16144, 13177, 8107, 35330, 108134, 89753, 20834, 109606, 10646, 114556, 39926, 123085, 8107, 35330, 101513, 106391, 113115, 54926, 13177, 105888, 9554, 25287, 121551, 66383, 78943, 45893, 127145, 9174, 110924, 16556, 37271, 18904, 16144, 80172, 83932, 77181, 13177, 8107, 35330, 108134, 89753, 20834, 109606, 118587, 27452, 20230, 123680, 102639, 106272, 36896, 105888, 9554, 25287, 121551, 10646, 109853, 61304, 107121, 39926, 17129, 16995, 31431, 106956, 106046, 61689, 9174, 77693, 77181, 22656, 104482, 109156, 31431, 17129, 109954, 9174, 567, 105180, 8107, 35330, 101513, 106391, 113115, 54926, 109054, 110590, 121551, 198, 14711, 220, 20713, 5486, 11144, 105888, 9554, 25287, 121551, 112479, 77693, 77181, 126843, 13177, 105888, 9554, 25287, 121551, 10646, 123863, 122984, 30512, 61304, 107121, 39926, 17129, 16995, 31431, 33541, 9174, 13177, 105888, 9554, 25287, 121551, 10646, 114556, 39926, 54, 15288, 30512, 126229, 112990, 36896, 31958, 105184, 26854, 114640, 19732, 113173, 114792, 100472, 114516, 29295, 66378, 23187, 16144, 47307, 38248, 110, 67075, 113115, 39926, 66378, 23187, 16144, 113173, 16144, 113009, 23039, 30297, 109054, 110590, 121551, 66383, 23187, 104577, 116216, 61689, 9174, 59739, 109709, 37271, 18904, 16144, 13177, 8107, 35330, 108134, 89753, 20834, 109606, 118587, 97518, 39926, 15682, 123085, 8107, 35330, 101513, 106391, 102677, 108638, 33014, 30512, 47307, 38248, 110, 67075, 103306, 123085, 8107, 35330, 101513, 106391, 29295, 108167, 121247, 30297, 8107, 35330, 108134, 123863, 119526, 30512, 102729, 122, 18655, 54926, 106592, 113173, 114267, 109054, 110590, 121551, 102677, 100909, 115717, 33541, 9174, 53900, 37271, 18904, 16144, 13177, 8107, 35330, 108134, 89753, 20834, 109606, 10646, 77181, 36896, 105888, 9554, 25287, 121551, 10646, 117824, 30297, 46034, 38574, 103306, 120115, 39850, 64178, 30512, 107740, 56051, 100909, 55031, 5486, 66378, 20230, 120115, 39850, 64178, 30512, 107740, 56051, 13177, 105888, 9554, 25287, 121551, 118587, 13177, 105888, 9554, 25287, 121551, 39850, 64178, 66383, 105324, 25666, 78434, 9174, 14711, 220, 25963, 5486, 11144, 13177, 8107, 35330, 108134, 89753, 20834, 109606, 10646, 123863, 106613, 100783, 107, 112479, 77693, 77181, 33671, 20230, 37271, 18904, 16144, 13177, 8107, 35330, 108134, 89753, 20834, 109606, 10646, 123863, 106613, 100783, 107, 30512, 61304, 107121, 39926, 17129, 16995, 31431, 33541, 9174, 126843, 102433, 8107, 35330, 101513, 106391, 102052, 13177, 106222, 33563, 117126, 110191, 118372, 123141, 66383, 95604, 118823, 102756, 105048, 29295, 48706, 78434, 9174, 51330, 13177, 106222, 33563, 117126, 110191, 118372, 123141, 10646, 15682, 5486, 106222, 33563, 117126, 121101, 120690, 127253, 111717, 16144, 106222, 33563, 117126, 123357, 32938, 30512, 114363, 11883, 16144, 118597, 18904, 101911, 113468, 102971, 81219, 104028, 118326, 118823, 102756, 105048, 116787, 5486, 48915, 34048, 118823, 102756, 105048, 107118, 125174, 106627, 103646, 118823, 102756, 105048, 117282, 117840, 1811, 9, 16, 198, 59739, 109709, 37271, 18904, 16144, 13177, 8107, 35330, 108134, 89753, 20834, 109606, 10646, 114556, 39926, 15682, 36896, 106222, 33563, 117126, 110191, 118372, 123141, 10646, 29295, 13177, 105888, 9554, 25287, 121551, 10646, 113468, 109467, 20230, 68759, 33710, 111234, 39880, 99750, 108208, 39926, 5486, 8107, 35330, 108134, 123863, 119526, 29295, 48915, 34048, 20230, 118487, 44647, 102, 56051, 102677, 113334, 77181, 124897, 9174, 110382, 16556, 109606, 117282, 104468, 5486, 17905, 61304, 16144, 115240, 117083, 107430, 102351, 16144, 80805, 102741, 109713, 127253, 104774, 106696, 55999, 19361, 60868, 112164, 11972, 10110, 24299, 60868, 112164, 11972, 7705, 121711, 33541, 9174, 126843, 102433, 8107, 35330, 101513, 106391, 16144, 107430, 102351, 29295, 107740, 54926, 80805, 102741, 109713, 8676, 249, 20230, 104774, 106696, 10110, 68759, 33710, 111234, 39880, 7705, 30512, 114001, 47000, 56051, 120115, 39850, 64178, 30512, 37705, 22023, 78434, 9174, 33671, 20230, 120115, 39850, 64178, 114475, 22023, 56051, 102433, 8107, 35330, 101513, 106391, 16144, 107430, 102351, 29295, 5486, 120115, 39850, 64178, 20230, 114001, 47000, 110731, 104774, 106696, 10110, 68759, 33710, 111234, 39880, 7705, 125523, 102532, 123085, 8107, 35330, 101513, 106391, 16144, 107430, 102351, 29295, 107740, 54926, 80805, 102741, 109713, 29295, 68759, 33710, 111234, 39880, 20230, 99750, 108208, 78434, 9174, 15120, 24273, 5486, 104774, 106696, 55999, 19361, 60868, 112164, 11972, 10110, 24299, 60868, 112164, 11972, 7705, 102052, 36896, 106222, 33563, 117126, 110191, 118372, 123141, 10646, 55031, 60634, 56051, 8107, 35330, 108134, 123863, 119526, 29295, 47585, 116216, 61689, 9174, 80539, 124042, 112535, 104774, 106696, 55999, 19361, 60868, 112164, 11972, 10110, 24299, 60868, 112164, 11972, 119735, 123085, 8107, 35330, 101513, 106391, 16144, 107430, 102351, 29295, 107740, 54926, 80805, 102741, 109713, 55031, 39880, 122086, 22398, 108608, 127749, 20230, 57903, 127359, 33710, 111234, 39880, 20230, 99750, 108208, 56051, 80805, 102741, 109713, 16556, 104774, 106696, 55999, 19361, 60868, 112164, 11972, 10110, 24299, 60868, 112164, 11972, 7705, 20230, 39880, 122086, 22398, 112990, 127359, 33710, 111234, 39880, 20230, 99750, 108208, 56051, 80805, 102741, 109713, 111848, 16937, 37656, 39880, 122086, 22398, 113468, 8107, 35330, 108134, 123863, 119526, 29295, 48915, 34048, 20230, 118487, 44647, 102, 54926, 102677, 106613, 100783, 107, 115717, 33541, 9174, 14711, 220, 34617, 5486, 11144, 13177, 8107, 35330, 108134, 89753, 20834, 109606, 118587, 103181, 82533, 118765, 104865, 11571, 112479, 77693, 77181, 33671, 20230, 37271, 18904, 16144, 13177, 8107, 35330, 108134, 89753, 20834, 109606, 118587, 103181, 82533, 118765, 104865, 102677, 28542, 109853, 61304, 107121, 39926, 17129, 16995, 31431, 33541, 9174, 126843, 15682, 102971, 105242, 55031, 102782, 78434, 19732, 115515, 18904, 16144, 13177, 8107, 35330, 108134, 89753, 20834, 109606, 10646, 114556, 39926, 103181, 82533, 54926, 109335, 110482, 111108, 19732, 113727, 110071, 123253, 9174, 26854, 112371, 105110, 81219, 60358, 8107, 5486, 114435, 127253, 108638, 33014, 50667, 30512, 47307, 38248, 110, 67075, 114267, 13177, 105888, 9554, 25287, 121551, 10646, 114556, 39926, 15682, 5486, 108008, 20230, 123499, 33208, 127253, 109242, 122202, 33208, 103792, 127749, 29295, 114667, 103306, 123680, 102639, 110071, 55031, 38641, 9174, 27452, 116285, 37271, 18904, 16144, 13177, 8107, 35330, 108134, 89753, 20834, 109606, 118587, 27452, 20230, 123680, 102639, 33541, 19732, 5486, 126843, 15682, 66776, 121298, 104856, 103836, 107430, 102351, 16144, 39850, 64178, 39880, 45923, 108744, 8676, 249, 20230, 120115, 39850, 64178, 29295, 37705, 22023, 103646, 102677, 100909, 38641, 9174, 85701, 15682, 39850, 64178, 39880, 45923, 108744, 29295, 66776, 121298, 102677, 118733, 5486, 107430, 102351, 37026, 33014, 29295, 102433, 8107, 35330, 101513, 106391, 102677, 108638, 33014, 127253, 97518, 89046, 108638, 33014, 55031, 120115, 39850, 64178, 29295, 37705, 22023, 103646, 19732, 126845, 112854, 54926, 118733, 109954, 9174, 80539, 33671, 20230, 120115, 39850, 64178, 20230, 114001, 47000, 110731, 104774, 106696, 10110, 68759, 33710, 111234, 39880, 7705, 127253, 120115, 39850, 64178, 16144, 14558, 13372, 29295, 5486, 108008, 20230, 123499, 20230, 49691, 121, 99741, 110731, 102677, 100909, 38641, 9174, 126843, 120115, 39850, 64178, 20230, 114001, 47000, 110731, 104774, 106696, 10110, 68759, 33710, 111234, 39880, 7705, 114556, 39926, 15682, 5486, 83747, 103470, 107173, 17, 104091, 104770, 16144, 17039, 104091, 16144, 68759, 33710, 111234, 39880, 103195, 117840, 9174, 53900, 68759, 33710, 111234, 39880, 16144, 104091, 104770, 103306, 15682, 116898, 78183, 106644, 30369, 66953, 48552, 45923, 39880, 25287, 19732, 127173, 104028, 117809, 116787, 110371, 66953, 48552, 45923, 39880, 25287, 102677, 68759, 33710, 111234, 39880, 15682, 99750, 108208, 56051, 80805, 102741, 109713, 16144, 118124, 110366, 16556, 112415, 39926, 5486, 121551, 112919, 16937, 37656, 39880, 122086, 22398, 117824, 30297, 124122, 16937, 37656, 26854, 48915, 34048, 118597, 30512, 105184, 80195, 54926, 50667, 16144, 112415, 117824, 61689, 9174, 122270, 120115, 39850, 64178, 20230, 114001, 47000, 110731, 104774, 106696, 10110, 68759, 33710, 111234, 39880, 7705, 114556, 39926, 5486, 64810, 123283, 37823, 103906, 102741, 112508, 111848, 111800, 20834, 30512, 110482, 111108, 117657, 113009, 121453, 104091, 16144, 68759, 33710, 111234, 39880, 127303, 114598, 57326, 77750, 32131, 91062, 37026, 33014, 30512, 23226, 104721, 56051, 127022, 104091, 16144, 68759, 33710, 111234, 39880, 29295, 114001, 47000, 84389, 101732, 102677, 77219, 32977, 30832, 116446, 61689, 9174, 71689, 119775, 5486, 32977, 107173, 19732, 13177, 105888, 9554, 25287, 121551, 10646, 16556, 38129, 107001, 68759, 33710, 111234, 39880, 15682, 106116, 66378, 34171, 17905, 55031, 66378, 23187, 16144, 47307, 38248, 110, 67075, 113115, 39926, 38129, 107001, 102944, 116787, 5486, 108936, 109904, 68759, 33710, 111234, 39880, 119775, 124773, 123437, 67075, 17905, 20230, 26955, 94, 107471, 107001, 102944, 77181, 124897, 9174, 58426, 103846, 108936, 109904, 68759, 33710, 111234, 39880, 107118, 108901, 26854, 31431, 127359, 33710, 111234, 39880, 37026, 33014, 29295, 26955, 94, 107471, 107001, 117501, 32977, 119379, 109904, 113009, 5486, 64810, 123283, 37823, 103906, 102741, 112508, 111848, 111800, 20834, 32977, 108008, 20230, 110482, 111108, 103195, 102677, 113334, 38641, 9174, 122270, 37271, 18904, 16144, 13177, 8107, 35330, 108134, 89753, 20834, 109606, 117503, 104466, 121453, 104091, 16144, 68759, 33710, 111234, 39880, 102677, 100909, 101983, 104984, 5486, 64810, 123283, 37823, 103906, 102741, 112508, 111848, 111800, 20834, 114556, 120837, 15120, 114050, 110482, 111108, 108176, 118733, 109954, 9174, 80539, 15120, 24273, 5486, 120115, 39850 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 9080, 25, 220, 2366, 16, 8107, 1721, 9953, 1419, 9080, 50587, 1049, 3443, 18, 13177, 15143, 39530, 25, 116381, 112718, 16144, 109713, 89154, 123437, 52414, 30512, 56770, 368, 16556, 97518, 9039, 20230, 102181, 50834, 109913, 105262, 118587, 13177, 4110, 3676, 1883, 114424, 103722, 10646, 114971, 20230, 103214, 64121, 104526, 104004, 32149, 105459, 16556, 27384, 111044, 20230, 23226, 116952, 1811, 128001, 128000, 112073, 103826, 5486, 69847, 81219, 25827, 15682, 9174, 22656, 117073, 97518, 101778, 32977, 103188, 48154, 15024, 126172, 16995, 16, 9080, 121711, 79721, 9174, 77693, 77181, 37271, 18904, 16144, 80172, 83932, 20230, 17129, 16995, 31431, 17129, 109954, 9174, 567, 108295, 100204, 62004, 20230, 198, 30813, 38144, 21, 9953, 109156, 76947, 105755, 5486, 102208, 118331, 61398, 50667, 16556, 89046, 117073, 104466, 108167, 109415, 125398, 13177, 8107, 35330, 108134, 89753, 20834, 109606, 10646, 9174, 37271, 18904, 16144, 13177, 8107, 35330, 108134, 89753, 20834, 109606, 10646, 15682, 5486, 61826, 9953, 16144, 102433, 8107, 35330, 101513, 106391, 113115, 54926, 109054, 110590, 121551, 112212, 123085, 8107, 35330, 101513, 106391, 16144, 107430, 102351, 38129, 54926, 80805, 102741, 109713, 29295, 68759, 33710, 111234, 39880, 99750, 108208, 39926, 5486, 104774, 106696, 55999, 19361, 60868, 112164, 11972, 20230, 47585, 56051, 103664, 6549, 32307, 14558, 16144, 8107, 35330, 108134, 123863, 119526, 29295, 48915, 34048, 20230, 118487, 44647, 102, 54926, 102677, 109606, 115717, 33541, 9174, 88852, 30512, 48154, 111182, 72315, 9174, 83354, 198, 8107, 35330, 108134, 20713, 25963, 44597, 32307, 14558, 89753, 20834, 101678, 33857, 39850, 64178, 16556, 16937, 37656, 39880, 122086, 22398, 117953, 99, 103984, 11795, 223, 15017, 250, 112984, 198, 104971, 117811, 83354, 198, 35417, 9554, 8107, 35330, 16144, 33563, 117126, 42506, 17599, 112, 110226, 71289, 110698, 47000, 103350, 102781, 30512, 106529, 30297, 102433, 8107, 35330, 101513, 106391, 605, 10, 122510, 10110, 111344, 119735, 20713, 9080, 5486, 65299, 106696, 22398, 39850, 64178, 111848, 16937, 37656, 39880, 122086, 22398, 114475, 76622, 5486, 75146, 17920, 236, 8107, 35330, 122532, 71289, 105514, 13372, 104309, 8107, 35330, 123863, 121568, 108134, 82420, 20713, 25963, 44597, 32307, 14558, 29295, 48915, 34048, 20230, 89753, 118158, 19732, 125053, 56051, 1811, 42016, 9080, 103296, 20230, 108134, 16144, 109161, 11883, 123160, 101307, 104698, 15682, 114140, 84389, 126386, 29295, 5486, 89753, 20834, 14558, 9039, 15682, 37271, 74482, 5486, 122270, 26955, 94, 27384, 54926, 125396, 32977, 101182, 102677, 1811, 101513, 106391, 55031, 33035, 78943, 114475, 107674, 104970, 103984, 11795, 223, 15682, 15017, 250, 112984, 30512, 27704, 109013, 9174, 102433, 8107, 35330, 101513, 106391, 605, 10, 122510, 103732, 104533, 5486, 89753, 118158, 104468, 10110, 20713, 7705, 75146, 17920, 236, 8107, 35330, 122532, 19732, 105514, 13372, 10110, 103664, 34617, 32307, 20713, 103633, 14558, 116729, 25963, 7705, 75146, 17920, 236, 8107, 35330, 122532, 19732, 105514, 13372, 5486, 21990, 8107, 9953, 9080, 10110, 103664, 20713, 20713, 60596, 32307, 66224, 103633, 14558, 116729, 34617, 7705, 75146, 17920, 236, 8107, 35330, 122532, 19732, 105514, 13372, 5486, 21990, 8107, 9953, 9080, 5486, 101987, 32938, 10110, 103664, 44597, 32307, 25963, 103633, 14558, 7705, 90581, 16144, 82420, 103664, 20713, 25963, 44597, 32307, 14558, 115397, 34048, 15682, 42016, 15120, 16144, 118065, 30046, 108134, 29295, 116880, 103792, 125396, 107407, 9174, 20713, 9080, 5486, 61304, 30046, 38093, 91774, 56051, 101513, 106391, 16144, 53610, 102687, 105635, 15120, 104703, 22649, 30926, 101544, 33503, 103732, 104533, 5486, 44597, 9953, 66115, 9080, 5486, 107430, 102351, 29295, 65299, 106696, 117718, 17701, 100472, 114001, 47000, 104774, 106696, 125523, 107248, 56051, 118733, 5486, 16937, 37656, 39880, 122086, 22398, 29295, 102404, 21990, 109807, 74482, 5486, 65299, 106696, 22398, 103359, 105226, 102741, 112508, 108695, 20230, 50338, 98871, 30512, 103963, 117943, 56051, 29295, 5486, 42016, 103826, 16144, 39850, 64178, 15682, 20713, 66115, 9080, 103296, 20230, 110745, 33857, 20230, 101513, 106391, 110366, 20230, 37705, 124195, 105898, 1811, 39850, 64178, 16144, 44915, 15682, 77693, 108422, 33121, 108901, 26854, 31431, 5486, 119869, 20230, 87447, 107248, 56051, 107430, 102351, 107118, 103283, 16144, 109242, 9039, 16144, 107430, 102351, 29295, 87447, 107248, 107113, 102677, 9174, 58426, 104983, 5486, 118065, 30046, 111363, 114397, 123160, 11883, 108968, 16556, 33655, 78183, 115032, 108134, 39276, 123141, 104309, 20230, 47585, 84389, 101732, 121568, 108134, 16144, 104774, 106696, 29295, 89753, 118158, 19732, 64121, 110071, 9174, 85701, 15682, 37271, 18904, 16144, 13177, 8107, 35330, 108134, 89753, 20834, 109606, 118587, 108167, 109415, 28713, 106518, 106613, 118331, 61398, 16144, 77219, 38641, 9174, 80539, 17905, 61304, 120950, 102208, 68759, 118283, 101198, 111848, 78943, 45893, 77181, 115515, 18904, 16144, 13177, 8107, 35330, 108134, 89753, 20834, 109606, 10646, 114556, 39926, 123085, 8107, 35330, 101513, 106391, 113115, 54926, 13177, 105888, 9554, 25287, 121551, 66383, 78943, 45893, 127145, 9174, 110924, 16556, 37271, 18904, 16144, 80172, 83932, 77181, 13177, 8107, 35330, 108134, 89753, 20834, 109606, 118587, 27452, 20230, 123680, 102639, 106272, 36896, 105888, 9554, 25287, 121551, 10646, 109853, 61304, 107121, 39926, 17129, 16995, 31431, 106956, 106046, 61689, 9174, 77693, 77181, 22656, 104482, 109156, 31431, 17129, 109954, 9174, 567, 105180, 8107, 35330, 101513, 106391, 113115, 54926, 109054, 110590, 121551, 198, 14711, 220, 20713, 5486, 11144, 105888, 9554, 25287, 121551, 112479, 77693, 77181, 126843, 13177, 105888, 9554, 25287, 121551, 10646, 123863, 122984, 30512, 61304, 107121, 39926, 17129, 16995, 31431, 33541, 9174, 13177, 105888, 9554, 25287, 121551, 10646, 114556, 39926, 54, 15288, 30512, 126229, 112990, 36896, 31958, 105184, 26854, 114640, 19732, 113173, 114792, 100472, 114516, 29295, 66378, 23187, 16144, 47307, 38248, 110, 67075, 113115, 39926, 66378, 23187, 16144, 113173, 16144, 113009, 23039, 30297, 109054, 110590, 121551, 66383, 23187, 104577, 116216, 61689, 9174, 59739, 109709, 37271, 18904, 16144, 13177, 8107, 35330, 108134, 89753, 20834, 109606, 118587, 97518, 39926, 15682, 123085, 8107, 35330, 101513, 106391, 102677, 108638, 33014, 30512, 47307, 38248, 110, 67075, 103306, 123085, 8107, 35330, 101513, 106391, 29295, 108167, 121247, 30297, 8107, 35330, 108134, 123863, 119526, 30512, 102729, 122, 18655, 54926, 106592, 113173, 114267, 109054, 110590, 121551, 102677, 100909, 115717, 33541, 9174, 53900, 37271, 18904, 16144, 13177, 8107, 35330, 108134, 89753, 20834, 109606, 10646, 77181, 36896, 105888, 9554, 25287, 121551, 10646, 117824, 30297, 46034, 38574, 103306, 120115, 39850, 64178, 30512, 107740, 56051, 100909, 55031, 5486, 66378, 20230, 120115, 39850, 64178, 30512, 107740, 56051, 13177, 105888, 9554, 25287, 121551, 118587, 13177, 105888, 9554, 25287, 121551, 39850, 64178, 66383, 105324, 25666, 78434, 9174, 14711, 220, 25963, 5486, 11144, 13177, 8107, 35330, 108134, 89753, 20834, 109606, 10646, 123863, 106613, 100783, 107, 112479, 77693, 77181, 33671, 20230, 37271, 18904, 16144, 13177, 8107, 35330, 108134, 89753, 20834, 109606, 10646, 123863, 106613, 100783, 107, 30512, 61304, 107121, 39926, 17129, 16995, 31431, 33541, 9174, 126843, 102433, 8107, 35330, 101513, 106391, 102052, 13177, 106222, 33563, 117126, 110191, 118372, 123141, 66383, 95604, 118823, 102756, 105048, 29295, 48706, 78434, 9174, 51330, 13177, 106222, 33563, 117126, 110191, 118372, 123141, 10646, 15682, 5486, 106222, 33563, 117126, 121101, 120690, 127253, 111717, 16144, 106222, 33563, 117126, 123357, 32938, 30512, 114363, 11883, 16144, 118597, 18904, 101911, 113468, 102971, 81219, 104028, 118326, 118823, 102756, 105048, 116787, 5486, 48915, 34048, 118823, 102756, 105048, 107118, 125174, 106627, 103646, 118823, 102756, 105048, 117282, 117840, 1811, 9, 16, 198, 59739, 109709, 37271, 18904, 16144, 13177, 8107, 35330, 108134, 89753, 20834, 109606, 10646, 114556, 39926, 15682, 36896, 106222, 33563, 117126, 110191, 118372, 123141, 10646, 29295, 13177, 105888, 9554, 25287, 121551, 10646, 113468, 109467, 20230, 68759, 33710, 111234, 39880, 99750, 108208, 39926, 5486, 8107, 35330, 108134, 123863, 119526, 29295, 48915, 34048, 20230, 118487, 44647, 102, 56051, 102677, 113334, 77181, 124897, 9174, 110382, 16556, 109606, 117282, 104468, 5486, 17905, 61304, 16144, 115240, 117083, 107430, 102351, 16144, 80805, 102741, 109713, 127253, 104774, 106696, 55999, 19361, 60868, 112164, 11972, 10110, 24299, 60868, 112164, 11972, 7705, 121711, 33541, 9174, 126843, 102433, 8107, 35330, 101513, 106391, 16144, 107430, 102351, 29295, 107740, 54926, 80805, 102741, 109713, 8676, 249, 20230, 104774, 106696, 10110, 68759, 33710, 111234, 39880, 7705, 30512, 114001, 47000, 56051, 120115, 39850, 64178, 30512, 37705, 22023, 78434, 9174, 33671, 20230, 120115, 39850, 64178, 114475, 22023, 56051, 102433, 8107, 35330, 101513, 106391, 16144, 107430, 102351, 29295, 5486, 120115, 39850, 64178, 20230, 114001, 47000, 110731, 104774, 106696, 10110, 68759, 33710, 111234, 39880, 7705, 125523, 102532, 123085, 8107, 35330, 101513, 106391, 16144, 107430, 102351, 29295, 107740, 54926, 80805, 102741, 109713, 29295, 68759, 33710, 111234, 39880, 20230, 99750, 108208, 78434, 9174, 15120, 24273, 5486, 104774, 106696, 55999, 19361, 60868, 112164, 11972, 10110, 24299, 60868, 112164, 11972, 7705, 102052, 36896, 106222, 33563, 117126, 110191, 118372, 123141, 10646, 55031, 60634, 56051, 8107, 35330, 108134, 123863, 119526, 29295, 47585, 116216, 61689, 9174, 80539, 124042, 112535, 104774, 106696, 55999, 19361, 60868, 112164, 11972, 10110, 24299, 60868, 112164, 11972, 119735, 123085, 8107, 35330, 101513, 106391, 16144, 107430, 102351, 29295, 107740, 54926, 80805, 102741, 109713, 55031, 39880, 122086, 22398, 108608, 127749, 20230, 57903, 127359, 33710, 111234, 39880, 20230, 99750, 108208, 56051, 80805, 102741, 109713, 16556, 104774, 106696, 55999, 19361, 60868, 112164, 11972, 10110, 24299, 60868, 112164, 11972, 7705, 20230, 39880, 122086, 22398, 112990, 127359, 33710, 111234, 39880, 20230, 99750, 108208, 56051, 80805, 102741, 109713, 111848, 16937, 37656, 39880, 122086, 22398, 113468, 8107, 35330, 108134, 123863, 119526, 29295, 48915, 34048, 20230, 118487, 44647, 102, 54926, 102677, 106613, 100783, 107, 115717, 33541, 9174, 14711, 220, 34617, 5486, 11144, 13177, 8107, 35330, 108134, 89753, 20834, 109606, 118587, 103181, 82533, 118765, 104865, 11571, 112479, 77693, 77181, 33671, 20230, 37271, 18904, 16144, 13177, 8107, 35330, 108134, 89753, 20834, 109606, 118587, 103181, 82533, 118765, 104865, 102677, 28542, 109853, 61304, 107121, 39926, 17129, 16995, 31431, 33541, 9174, 126843, 15682, 102971, 105242, 55031, 102782, 78434, 19732, 115515, 18904, 16144, 13177, 8107, 35330, 108134, 89753, 20834, 109606, 10646, 114556, 39926, 103181, 82533, 54926, 109335, 110482, 111108, 19732, 113727, 110071, 123253, 9174, 26854, 112371, 105110, 81219, 60358, 8107, 5486, 114435, 127253, 108638, 33014, 50667, 30512, 47307, 38248, 110, 67075, 114267, 13177, 105888, 9554, 25287, 121551, 10646, 114556, 39926, 15682, 5486, 108008, 20230, 123499, 33208, 127253, 109242, 122202, 33208, 103792, 127749, 29295, 114667, 103306, 123680, 102639, 110071, 55031, 38641, 9174, 27452, 116285, 37271, 18904, 16144, 13177, 8107, 35330, 108134, 89753, 20834, 109606, 118587, 27452, 20230, 123680, 102639, 33541, 19732, 5486, 126843, 15682, 66776, 121298, 104856, 103836, 107430, 102351, 16144, 39850, 64178, 39880, 45923, 108744, 8676, 249, 20230, 120115, 39850, 64178, 29295, 37705, 22023, 103646, 102677, 100909, 38641, 9174, 85701, 15682, 39850, 64178, 39880, 45923, 108744, 29295, 66776, 121298, 102677, 118733, 5486, 107430, 102351, 37026, 33014, 29295, 102433, 8107, 35330, 101513, 106391, 102677, 108638, 33014, 127253, 97518, 89046, 108638, 33014, 55031, 120115, 39850, 64178, 29295, 37705, 22023, 103646, 19732, 126845, 112854, 54926, 118733, 109954, 9174, 80539, 33671, 20230, 120115, 39850, 64178, 20230, 114001, 47000, 110731, 104774, 106696, 10110, 68759, 33710, 111234, 39880, 7705, 127253, 120115, 39850, 64178, 16144, 14558, 13372, 29295, 5486, 108008, 20230, 123499, 20230, 49691, 121, 99741, 110731, 102677, 100909, 38641, 9174, 126843, 120115, 39850, 64178, 20230, 114001, 47000, 110731, 104774, 106696, 10110, 68759, 33710, 111234, 39880, 7705, 114556, 39926, 15682, 5486, 83747, 103470, 107173, 17, 104091, 104770, 16144, 17039, 104091, 16144, 68759, 33710, 111234, 39880, 103195, 117840, 9174, 53900, 68759, 33710, 111234, 39880, 16144, 104091, 104770, 103306, 15682, 116898, 78183, 106644, 30369, 66953, 48552, 45923, 39880, 25287, 19732, 127173, 104028, 117809, 116787, 110371, 66953, 48552, 45923, 39880, 25287, 102677, 68759, 33710, 111234, 39880, 15682, 99750, 108208, 56051, 80805, 102741, 109713, 16144, 118124, 110366, 16556, 112415, 39926, 5486, 121551, 112919, 16937, 37656, 39880, 122086, 22398, 117824, 30297, 124122, 16937, 37656, 26854, 48915, 34048, 118597, 30512, 105184, 80195, 54926, 50667, 16144, 112415, 117824, 61689, 9174, 122270, 120115, 39850, 64178, 20230, 114001, 47000, 110731, 104774, 106696, 10110, 68759, 33710, 111234, 39880, 7705, 114556, 39926, 5486, 64810, 123283, 37823, 103906, 102741, 112508, 111848, 111800, 20834, 30512, 110482, 111108, 117657, 113009, 121453, 104091, 16144, 68759, 33710, 111234, 39880, 127303, 114598, 57326, 77750, 32131, 91062, 37026, 33014, 30512, 23226, 104721, 56051, 127022, 104091, 16144, 68759, 33710, 111234, 39880, 29295, 114001, 47000, 84389, 101732, 102677, 77219, 32977, 30832, 116446, 61689, 9174, 71689, 119775, 5486, 32977, 107173, 19732, 13177, 105888, 9554, 25287, 121551, 10646, 16556, 38129, 107001, 68759, 33710, 111234, 39880, 15682, 106116, 66378, 34171, 17905, 55031, 66378, 23187, 16144, 47307, 38248, 110, 67075, 113115, 39926, 38129, 107001, 102944, 116787, 5486, 108936, 109904, 68759, 33710, 111234, 39880, 119775, 124773, 123437, 67075, 17905, 20230, 26955, 94, 107471, 107001, 102944, 77181, 124897, 9174, 58426, 103846, 108936, 109904, 68759, 33710, 111234, 39880, 107118, 108901, 26854, 31431, 127359, 33710, 111234, 39880, 37026, 33014, 29295, 26955, 94, 107471, 107001, 117501, 32977, 119379, 109904, 113009, 5486, 64810, 123283, 37823, 103906, 102741, 112508, 111848, 111800, 20834, 32977, 108008, 20230, 110482, 111108, 103195, 102677, 113334, 38641, 9174, 122270, 37271, 18904, 16144, 13177, 8107, 35330, 108134, 89753, 20834, 109606, 117503, 104466, 121453, 104091, 16144, 68759, 33710, 111234, 39880, 102677, 100909, 101983, 104984, 5486, 64810, 123283, 37823, 103906, 102741, 112508, 111848, 111800, 20834, 114556, 120837, 15120, 114050, 110482, 111108, 108176, 118733, 109954, 9174, 80539, 15120, 24273, 5486, 120115, 39850 ]
[ 64178, 16144, 14558, 13372, 114556, 39926, 119627, 123085, 8107, 35330, 101513, 106391, 102677, 108638, 33014, 16556, 38129, 107001, 105933, 8107, 35330, 116690, 16144, 17161, 102181, 16144, 14558, 13372, 29295, 102181, 32149, 33121, 101732, 102677, 100909, 38641, 9174, 85701, 15682, 61826, 19732, 42016, 103826, 20230, 5486, 107430, 102351, 37026, 33014, 29295, 102433, 8107, 35330, 101513, 106391, 102677, 108638, 33014, 127253, 97518, 89046, 108638, 33014, 55031, 120115, 39850, 64178, 29295, 37705, 22023, 103646, 19732, 126845, 112854, 54926, 118733, 109954, 9174, 71689, 119775, 118288, 37271, 5486, 114435, 127253, 108638, 33014, 102083, 100472, 121606, 30512, 47307, 38248, 110, 67075, 114267, 13177, 105888, 9554, 25287, 121551, 10646, 15682, 5486, 108008, 20230, 123499, 33208, 127253, 109242, 122202, 33208, 127145, 9174, 80539, 17905, 61304, 119775, 123499, 33208, 127253, 109242, 122202, 33208, 56051, 13177, 105888, 9554, 25287, 121551, 10646, 114556, 39926, 36896, 123499, 105888, 9554, 25287, 121551, 66383, 95604, 105324, 25666, 30512, 11883, 107991, 106592, 112854, 107290, 33334, 102532, 72315, 9174, 14711, 220, 46702, 5486, 11144, 123011, 62004, 112479, 30813, 38144, 77693, 77181, 33671, 20230, 37271, 18904, 16144, 13177, 8107, 35330, 108134, 89753, 20834, 109606, 10646, 123863, 123011, 62004, 30512, 61304, 107121, 39926, 17129, 16995, 31431, 33541, 9174, 25580, 105904, 103296, 61304, 107121, 56051, 104466, 115515, 18904, 16144, 13177, 8107, 35330, 108134, 89753, 20834, 109606, 10646, 15682, 5486, 39442, 61994, 20230, 103181, 82533, 54926, 105908, 110482, 111108, 26854, 13177, 105888, 9554, 25287, 121551, 10646, 113468, 113801, 125119, 103646, 108134, 118487, 44647, 102, 123863, 109606, 16556, 56051, 9174, 67016, 21105, 103, 29295, 33503, 37271, 18904, 16144, 13177, 8107, 35330, 108134, 89753, 20834, 109606, 10646, 114556, 39926, 123085, 8107, 35330, 101513, 106391, 16144, 107430, 102351, 29295, 61337, 32943, 33710, 64178, 30512, 21105, 96, 107277, 19732, 30250, 113, 106154, 72342, 101860, 20230, 9080, 104680, 16144, 121101, 117824, 106358, 115789, 115515, 18904, 16144, 13177, 8107, 35330, 108134, 89753, 20834, 109606, 10646, 123863, 101307, 104698, 30512, 26955, 94, 27384, 107726, 38144, 114604, 31634, 63212, 119012, 109335, 56965, 121953, 100604, 123253, 9174, 80539, 102433, 8107, 35330, 101513, 106391, 102677, 108638, 33014, 30512, 105856, 106053, 54926, 109335, 112825, 110904, 38641, 9174, 80673, 126843, 27384, 102769, 26854, 109335, 5486, 48915, 34048, 89753, 118158, 8107, 35330, 108134, 123863, 119526, 123863, 66378, 23187, 117824, 16995, 5486, 48915, 34048, 89753, 118158, 8107, 35330, 108134, 123863, 119526, 20230, 109638, 40265, 54926, 24273, 104680, 30512, 123050, 54926, 100909, 111769, 123253, 32149, 9174, 80539, 58426, 123090, 115515, 18904, 16144, 13177, 8107, 35330, 108134, 89753, 20834, 109606, 10646, 123863, 113385, 127253, 88356, 102404, 103181, 82533, 105226, 30512, 102433, 8107, 35330, 101513, 106391, 29295, 113727, 100481, 107188, 118145, 16995, 76622, 107515, 9174, 122270, 8107, 35330, 108134, 123863, 119526, 15682, 123085, 29504, 70821, 127303, 104984, 508, 97049, 71689, 120332, 104680, 20230, 109638, 40265, 54926, 27384, 102769, 26854, 121568, 108134, 121711, 33541, 9174, 58426, 103846, 37046, 104680, 29504, 70821, 114556, 120837, 115515, 18904, 16144, 13177, 8107, 35330, 108134, 89753, 20834, 109606, 10646, 123863, 102433, 8107, 35330, 101513, 106391, 16144, 117271, 30512, 26130, 103984, 109768, 107188, 118145, 105110, 100604, 19732, 113727, 33541, 9174, 80539, 25580, 105904, 16556, 61304, 107121, 56051, 104466, 122603, 27479, 33208, 127253, 109242, 122202, 33208, 56051, 13177, 105888, 9554, 25287, 121551, 10646, 114556, 39926, 15682, 5486, 108618, 104611, 106272, 39442, 61994, 20230, 103181, 82533, 54926, 105908, 110482, 111108, 102083, 58942, 33541, 9174, 58426, 103846, 114435, 127253, 108638, 33014, 102083, 100472, 121606, 30512, 47307, 38248, 110, 67075, 114267, 13177, 105888, 9554, 25287, 121551, 10646, 114556, 39926, 15682, 127359, 33710, 111234, 39880, 99750, 108208, 50667, 16144, 64810, 123283, 37823, 103906, 112997, 29220, 30512, 39442, 61994, 20230, 103181, 82533, 54926, 102677, 110577, 25359, 16144, 64810, 123283, 37823, 103906, 103359, 105226, 116771, 105110, 101860, 127359, 33710, 111234, 39880, 99750, 108208, 50667, 16144, 64810, 123283, 37823, 103906, 112997, 29220, 30512, 25580, 29172, 114267, 64810, 123283, 37823, 103906, 103359, 105226, 16144, 106391, 113638, 29295, 109215, 102083, 105262, 104865, 110241, 33121, 107515, 9174, 37271, 18904, 16144, 13177, 8107, 35330, 108134, 89753, 20834, 109606, 10646, 123863, 61304, 107121, 15682, 71689, 38641, 9174, 567, 113170, 19732, 29295, 50834, 198, 30813, 38144, 37271, 18904, 16144, 80172, 83932, 15682, 71689, 121711, 33541, 9174, 37271, 18904, 16144, 80172, 83932, 16556, 61304, 107121, 54926, 77219, 116749, 16144, 102040, 26269, 119557, 16144, 103359, 105226, 41007, 114556, 89046, 54926, 77219, 20230, 109834, 103868, 107407, 24273, 15682, 5486, 112371, 104328, 127637, 88852, 16144, 102040, 26269, 119557, 16144, 103359, 105226, 41007, 114556, 89046, 54926, 77219, 16144, 123011, 62004, 30512, 126229, 39926, 72315, 9174, 104971, 102040, 26269, 119557, 16144, 103359, 105226, 41007, 114556, 89046, 54926, 77219, 16144, 123011, 62004, 83354, 198, 20713, 5486, 3222, 198, 77693, 77181, 71689, 38641, 9174, 9, 16, 25, 26130, 5232, 59739, 109709, 124773, 123437, 67075, 19732, 30177, 106307, 84389, 126386, 102677, 100909, 38641, 128001, 128000, 17039, 25287, 47260, 42634, 96452, 116294, 33710, 22398, 99750, 108208, 26955, 94, 27384, 111848, 117375, 15682, 5486, 104378, 102321, 75267, 72661, 13177, 103359, 28190, 107141, 101275, 29295, 118765, 66383, 95604, 109606, 30512, 104584, 50834, 126268, 79721, 1811, 108895, 56051, 26854, 32149, 5486, 104378, 102321, 75267, 16556, 23226, 107436, 26130, 118146, 43167, 109013, 112973, 15149, 104378, 38641, 9174, 29504, 15682, 5486, 47260, 42634, 96452, 54656, 235, 117382, 105755, 100927, 102351, 71289, 21990, 107263, 20230, 27384, 112495, 39850, 37823, 67075, 107407, 103306, 15149, 104378, 30512, 84851, 103130, 127145, 119520, 5486, 125559, 19732, 57106, 115694, 102433, 15682, 74482, 33121, 30512, 18655, 103836, 112973, 102321, 103397, 38641, 9174, 22656, 47260, 32131, 91062, 77181, 123085, 19732, 125559, 16144, 15149, 104378, 30512, 57106, 103854, 106272, 5486, 125559, 77181, 67645, 120950, 15149, 104378, 30512, 103350, 102923, 103792, 104865, 32977, 126362, 78434, 9174, 567, 75302, 104378, 29295, 26130, 30832, 110731, 114667, 198, 15149, 104378, 16144, 113173, 16144, 115303, 59739, 29295, 36896, 104378, 16144, 105284, 16144, 70141, 17905, 10646, 38641, 109900, 15682, 5486, 100927, 102351, 125030, 114598, 21990, 107263, 125030, 114598, 27384, 112495, 39850, 37823, 67075, 102083, 58942, 33541, 9174, 100927, 102351, 125030, 76947, 16144, 39850, 37823, 67075, 15682, 5486, 121101, 16144, 126120, 96455, 33208, 29295, 125494, 108608, 100909, 38641, 1811, 123532, 37507, 119775, 5486, 115507, 52414, 16144, 104371, 114601, 71289, 100927, 103234, 16144, 107253, 104874, 104309, 29295, 112825, 72238, 33208, 84389, 5486, 107141, 101275, 16325, 32977, 88631, 102181, 54926, 109215, 29295, 103470, 120115, 111199, 88631, 16556, 103130, 109315, 100909, 55031, 5486, 100927, 102351, 16144, 109972, 106529, 30512, 117355, 114485, 108608, 102083, 123671, 33541, 118855, 5486, 108134, 71289, 47260, 108304, 119495, 30512, 100927, 102351, 42016, 101559, 16556, 55999, 19361, 54926, 100909, 112212, 5486, 105266, 15120, 26854, 104378, 30512, 104908, 108608, 101200, 108176, 123017, 5486, 104378, 16144, 105284, 16144, 70141, 17905, 107294, 105722, 30369, 123253, 9174, 21990, 107263, 125030, 114598, 5486, 91875, 55723, 71289, 79785, 71174, 104309, 30512, 76706, 11883, 56051, 100927, 103234, 47260, 108304, 119495, 16144, 76706, 11883, 112212, 5486, 48864, 108710, 20230, 109834, 103868, 30512, 110794, 36668, 33014, 112535, 48864, 109416, 30297, 117408, 110783, 110095, 29295, 21990, 123606, 126172, 115737, 31431, 33541, 1811, 76706, 11883, 25333, 113468, 15682, 5486, 123532, 37507, 16144, 111199, 88631, 30512, 62543, 17663, 103378, 102677, 101682, 91875, 109904, 105335, 106696, 55031, 5486, 47307, 52884, 123167, 79982, 106968, 16556, 107141, 101275, 44915, 30512, 55999, 19361, 54926, 102083, 100472, 27327, 91875, 109904, 105335, 106696, 20230, 104721, 33208, 124545, 115789, 88367, 38641, 1811, 28713, 19732, 116285, 5486, 105994, 29295, 19967, 13153, 56051, 109544, 30512, 120115, 111199, 88631, 71289, 127177, 21990, 107263, 16144, 47307, 52884, 123167, 20230, 55999, 19361, 54926, 102083, 100472, 41007, 32977, 119237, 20230, 125545, 1811, 104836, 112169, 25287, 16144, 39880, 29220, 103906, 52884, 9458, 32131, 118928, 94550, 120950, 107141, 101275, 32977, 5486, 15149, 104378, 105110, 103350, 102321, 15024, 126172, 47884, 109020, 123253, 9174, 122270, 5486, 116414, 20230, 102532, 32977, 105266, 50667, 26854, 104378, 114475, 76622, 110071, 102677, 28542, 32977, 5486, 15149, 104378, 29295, 26130, 30832, 110731, 114667, 16144, 115303, 59739, 38641, 1811, 2366, 15, 8107, 104149, 20230, 105693, 111717, 15120, 7741, 231, 105677, 101467, 120950, 105908, 72718, 50834, 111243, 5486, 124773, 123437, 67075, 117501, 19732, 47307, 52884, 123167, 79982, 106968, 29295, 30591, 104984, 46729, 20230, 16995, 106272, 107141, 101275, 29295, 101682, 76622, 102204, 33541, 15024, 5486, 103188, 101734, 236, 30590, 71289, 110596, 113849, 30590, 102083, 100472, 109606, 30512, 108623, 105262, 119208, 72661, 13177, 110596, 113849, 107141, 101275, 10646, 112212, 105266, 50667, 26854, 104378, 30512, 104908, 108608, 101200, 115717, 33541, 9174, 567, 105180, 16144, 15149, 104378, 16144, 102321, 103397, 198, 15149, 104378, 15682, 5486, 29504, 125030, 76947, 107693, 26854, 113495, 16144, 115303, 59739, 38641, 118844, 30512, 77913, 102321, 33208, 56051, 104378, 119254, 103306, 5486, 17161, 34048, 108396, 66870, 77181, 13177, 38, 1953, 32, 115592, 64178, 106391, 101067, 118587, 84851, 103130, 127145, 1811, 38, 1953, 32, 115592, 64178, 106391, 101067, 107118, 5486, 21990, 107263, 16, 17792, 16, 55038, 16144, 47307, 52884, 123167, 79982, 106968, 30512, 58318, 58942, 104533, 107173, 20230, 5486, 104575, 102052, 120018, 9458, 27384, 37729, 33857, 16144, 118597, 118823, 102756, 105048, 30512, 64531, 104874, 39926, 5486, 33671, 101083, 31640, 104575, 104378, 111363, 112113, 107804, 17039, 117824, 33334, 30297, 102677, 102944, 38641, 1811, 17663, 16556, 20230, 21990, 107263, 16, 17792, 16, 55038, 16144, 79982, 106968, 55487, 104874, 30512, 111587, 105823, 28713, 94134, 33014, 32977, 57903, 5486, 103350, 102321, 121254, 107441, 119448, 47884, 91875, 50834, 20834, 127145, 9174, 107118, 16995, 58942, 123085, 16144, 15149, 104378, 15682, 125559, 19732, 57106, 115694, 30250, 227, 115032, 112973, 102321, 103397, 38641, 1811, 17161, 34048, 108396, 66870, 29295, 123011, 109013, 104873, 112984, 103732, 104533, 5486, 104378, 11883, 109713, 70563, 72369, 108337, 16, 55038, 40265, 28713, 111331, 21990, 107263, 9039, 15682, 19, 13, 24, 17792, 10110, 2366, 15, 8107, 75376, 127164, 15682, 1049, 23, 116358, 119526, 16556, 5486, 109713, 70563, 72369, 108337, 16, 55038, 40265, 115926, 18, 13, 16, 17792, 38641, 55031, 123085, 29295, 605, 8107, 71689, 32977, 30250, 227, 115032, 105908, 78183, 107277, 33541, 10110, 126738, 5486, 2366, 16, 116358, 119526, 77181, 123085, 15682, 109713, 70563, 72369, 108337, 16, 55038, 40265, 115926, 16, 13, 24, 17792, 20230, 103296, 103572, 82317, 127145, 123505, 47307, 52884, 123167, 79982, 106968, 29295, 103572, 82317, 120837, 5486, 100927, 102452, 16556, 107740, 108608, 117501, 29295, 123207, 115552, 115991, 107515, 1811, 102433, 122692, 100927, 102452, 16144, 43568, 101911, 24299, 64531, 104874, 96455, 15682, 2166, 13, 24, 4, 5486, 120115, 111199, 88631, 123160, 27384, 25287, 46239, 123128, 64531, 104874, 96455, 15682, 1399, 13, 15, 4, 10110, 107173, 20230, 2366, 15, 8107, 7705, 19732, 5486, 103268, 17620, 25580, 123470, 104575, 77181, 106839, 17701, 84389, 126386, 105908, 78183, 107277, 33541, 9174, 53900, 5486, 103350, 104983, 20230, 104575, 16144, 107141, 101275, 16556, 107740, 110731, 32149, 30512, 104873, 112984, 56051, 120270, 103732, 104533, 123085, 77181, 29504, 102158, 5486, 118687, 5486, 22649, 70626, 121960, 13177, 68408, 76428, 122258, 101513, 32648, 30512, 107740, 21105, 103, 16995, 66383, 103899, 107800, 21990, 107263, 16144, 111017, 40862, 29295, 103664, 23, 111017, 32977, 16995, 79721, 1811, 53965, 6620, 10110, 106613, 111587, 108975, 48634, 122401, 101513, 106391, 120732, 21601, 107808, 29504, 77181, 5486, 107740, 103792, 21990, 107263, 16144, 118881, 29295, 103268, 17620, 71689, 32977, 102334, 110115, 103359, 39926, 123085, 77181, 17, 111017, 25580, 123470, 21990, 107263, 67016, 76706, 11883, 109768, 100604, 112973, 103350, 40474, 38641, 9174, 14711, 105180, 16144, 15149, 104378, 29295, 30250, 227, 115032, 114667, 198, 17905, 61304, 16144, 9039, 112603, 15682, 38, 1953, 32, 115592, 64178, 106391, 101067, 104309, 112212, 119273, 104680, 20230, 23226, 106594, 116216, 61689, 29295, 108048, 116446, 32977, 26854, 112371, 123085, 15682, 110382, 103296, 15149, 104378, 20230, 30250, 227, 33121, 30512, 18655, 103836, 105879, 109954, 32149, 9174, 114667, 16144, 115303, 59739, 29295, 36896, 103911, 70203, 30512, 105184, 33563, 118765, 10646, 105908, 123680, 102639, 102204, 33541, 1811, 17905, 43032, 16144, 121640, 5486, 47307, 52884, 123167, 79982, 106968, 30512, 21990, 107263, 16, 17792, 16, 55038, 106839, 17701, 54926, 116446, 32977, 5486, 100927, 102452, 16144, 43568, 101911, 24299, 117501, 30512, 64531, 104874, 56051, 31431, 5486, 64810, 123283, 37823, 103906, 103359, 105226, 30512, 102923, 56051, 111842, 5486, 43240, 119064, 112686, 39084, 29295, 109215, 115717, 33541, 9174, 53900, 36896, 104378, 102321, 75267, 20230, 15149, 124905, 16995, 22957, 26854, 122101, 17792, 103234, 29295, 127242, 103792, 10646, 115789, 111681, 104482, 38641, 1811, 21990, 107263, 20230, 15149, 101513, 32648, 124905, 110027, 30369, 102052, 5486, 126843, 100927, 102351, 29295, 33655, 16995, 22957, 26854, 122101, 101200, 48864, 108710, 54926, 109215, 115991, 33541, 1811, 90620, 16556, 30813, 58942, 121101, 33857, 29295, 127181, 102083, 126832, 26854, 32149, 5486, 15149, 30512, 48864, 104369, 82973, 32977, 109215, 104856, 104984, 5486, 100927, 102351, 16144, 109972, 106529, 15682, 33541, 33541, 119448, 47884, 109020, 123253, 9174, 108895, 56051, 111681, 104482, 30512, 50338, 104662, 109768, 47884, 105908, 5486, 15149, 104378, 16144, 84851, 103130, 54926, 30297, 58942, 16556, 32018, 62004, 110071, 16144, 38641, 9174, 121846, 29411, 17161, 34048, 108396, 66870, 13177, 103507, 34208, 17, 110895, 107668, 101467, 122692, 104378, 16144, 108134, 33208, 16144, 103350, 107328, 50667, 123863, 104873, 112984, 111329, 17161, 34048, 108396, 66870, 9458 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 64178, 16144, 14558, 13372, 114556, 39926, 119627, 123085, 8107, 35330, 101513, 106391, 102677, 108638, 33014, 16556, 38129, 107001, 105933, 8107, 35330, 116690, 16144, 17161, 102181, 16144, 14558, 13372, 29295, 102181, 32149, 33121, 101732, 102677, 100909, 38641, 9174, 85701, 15682, 61826, 19732, 42016, 103826, 20230, 5486, 107430, 102351, 37026, 33014, 29295, 102433, 8107, 35330, 101513, 106391, 102677, 108638, 33014, 127253, 97518, 89046, 108638, 33014, 55031, 120115, 39850, 64178, 29295, 37705, 22023, 103646, 19732, 126845, 112854, 54926, 118733, 109954, 9174, 71689, 119775, 118288, 37271, 5486, 114435, 127253, 108638, 33014, 102083, 100472, 121606, 30512, 47307, 38248, 110, 67075, 114267, 13177, 105888, 9554, 25287, 121551, 10646, 15682, 5486, 108008, 20230, 123499, 33208, 127253, 109242, 122202, 33208, 127145, 9174, 80539, 17905, 61304, 119775, 123499, 33208, 127253, 109242, 122202, 33208, 56051, 13177, 105888, 9554, 25287, 121551, 10646, 114556, 39926, 36896, 123499, 105888, 9554, 25287, 121551, 66383, 95604, 105324, 25666, 30512, 11883, 107991, 106592, 112854, 107290, 33334, 102532, 72315, 9174, 14711, 220, 46702, 5486, 11144, 123011, 62004, 112479, 30813, 38144, 77693, 77181, 33671, 20230, 37271, 18904, 16144, 13177, 8107, 35330, 108134, 89753, 20834, 109606, 10646, 123863, 123011, 62004, 30512, 61304, 107121, 39926, 17129, 16995, 31431, 33541, 9174, 25580, 105904, 103296, 61304, 107121, 56051, 104466, 115515, 18904, 16144, 13177, 8107, 35330, 108134, 89753, 20834, 109606, 10646, 15682, 5486, 39442, 61994, 20230, 103181, 82533, 54926, 105908, 110482, 111108, 26854, 13177, 105888, 9554, 25287, 121551, 10646, 113468, 113801, 125119, 103646, 108134, 118487, 44647, 102, 123863, 109606, 16556, 56051, 9174, 67016, 21105, 103, 29295, 33503, 37271, 18904, 16144, 13177, 8107, 35330, 108134, 89753, 20834, 109606, 10646, 114556, 39926, 123085, 8107, 35330, 101513, 106391, 16144, 107430, 102351, 29295, 61337, 32943, 33710, 64178, 30512, 21105, 96, 107277, 19732, 30250, 113, 106154, 72342, 101860, 20230, 9080, 104680, 16144, 121101, 117824, 106358, 115789, 115515, 18904, 16144, 13177, 8107, 35330, 108134, 89753, 20834, 109606, 10646, 123863, 101307, 104698, 30512, 26955, 94, 27384, 107726, 38144, 114604, 31634, 63212, 119012, 109335, 56965, 121953, 100604, 123253, 9174, 80539, 102433, 8107, 35330, 101513, 106391, 102677, 108638, 33014, 30512, 105856, 106053, 54926, 109335, 112825, 110904, 38641, 9174, 80673, 126843, 27384, 102769, 26854, 109335, 5486, 48915, 34048, 89753, 118158, 8107, 35330, 108134, 123863, 119526, 123863, 66378, 23187, 117824, 16995, 5486, 48915, 34048, 89753, 118158, 8107, 35330, 108134, 123863, 119526, 20230, 109638, 40265, 54926, 24273, 104680, 30512, 123050, 54926, 100909, 111769, 123253, 32149, 9174, 80539, 58426, 123090, 115515, 18904, 16144, 13177, 8107, 35330, 108134, 89753, 20834, 109606, 10646, 123863, 113385, 127253, 88356, 102404, 103181, 82533, 105226, 30512, 102433, 8107, 35330, 101513, 106391, 29295, 113727, 100481, 107188, 118145, 16995, 76622, 107515, 9174, 122270, 8107, 35330, 108134, 123863, 119526, 15682, 123085, 29504, 70821, 127303, 104984, 508, 97049, 71689, 120332, 104680, 20230, 109638, 40265, 54926, 27384, 102769, 26854, 121568, 108134, 121711, 33541, 9174, 58426, 103846, 37046, 104680, 29504, 70821, 114556, 120837, 115515, 18904, 16144, 13177, 8107, 35330, 108134, 89753, 20834, 109606, 10646, 123863, 102433, 8107, 35330, 101513, 106391, 16144, 117271, 30512, 26130, 103984, 109768, 107188, 118145, 105110, 100604, 19732, 113727, 33541, 9174, 80539, 25580, 105904, 16556, 61304, 107121, 56051, 104466, 122603, 27479, 33208, 127253, 109242, 122202, 33208, 56051, 13177, 105888, 9554, 25287, 121551, 10646, 114556, 39926, 15682, 5486, 108618, 104611, 106272, 39442, 61994, 20230, 103181, 82533, 54926, 105908, 110482, 111108, 102083, 58942, 33541, 9174, 58426, 103846, 114435, 127253, 108638, 33014, 102083, 100472, 121606, 30512, 47307, 38248, 110, 67075, 114267, 13177, 105888, 9554, 25287, 121551, 10646, 114556, 39926, 15682, 127359, 33710, 111234, 39880, 99750, 108208, 50667, 16144, 64810, 123283, 37823, 103906, 112997, 29220, 30512, 39442, 61994, 20230, 103181, 82533, 54926, 102677, 110577, 25359, 16144, 64810, 123283, 37823, 103906, 103359, 105226, 116771, 105110, 101860, 127359, 33710, 111234, 39880, 99750, 108208, 50667, 16144, 64810, 123283, 37823, 103906, 112997, 29220, 30512, 25580, 29172, 114267, 64810, 123283, 37823, 103906, 103359, 105226, 16144, 106391, 113638, 29295, 109215, 102083, 105262, 104865, 110241, 33121, 107515, 9174, 37271, 18904, 16144, 13177, 8107, 35330, 108134, 89753, 20834, 109606, 10646, 123863, 61304, 107121, 15682, 71689, 38641, 9174, 567, 113170, 19732, 29295, 50834, 198, 30813, 38144, 37271, 18904, 16144, 80172, 83932, 15682, 71689, 121711, 33541, 9174, 37271, 18904, 16144, 80172, 83932, 16556, 61304, 107121, 54926, 77219, 116749, 16144, 102040, 26269, 119557, 16144, 103359, 105226, 41007, 114556, 89046, 54926, 77219, 20230, 109834, 103868, 107407, 24273, 15682, 5486, 112371, 104328, 127637, 88852, 16144, 102040, 26269, 119557, 16144, 103359, 105226, 41007, 114556, 89046, 54926, 77219, 16144, 123011, 62004, 30512, 126229, 39926, 72315, 9174, 104971, 102040, 26269, 119557, 16144, 103359, 105226, 41007, 114556, 89046, 54926, 77219, 16144, 123011, 62004, 83354, 198, 20713, 5486, 3222, 198, 77693, 77181, 71689, 38641, 9174, 9, 16, 25, 26130, 5232, 59739, 109709, 124773, 123437, 67075, 19732, 30177, 106307, 84389, 126386, 102677, 100909, 38641, 128001, 128000, 17039, 25287, 47260, 42634, 96452, 116294, 33710, 22398, 99750, 108208, 26955, 94, 27384, 111848, 117375, 15682, 5486, 104378, 102321, 75267, 72661, 13177, 103359, 28190, 107141, 101275, 29295, 118765, 66383, 95604, 109606, 30512, 104584, 50834, 126268, 79721, 1811, 108895, 56051, 26854, 32149, 5486, 104378, 102321, 75267, 16556, 23226, 107436, 26130, 118146, 43167, 109013, 112973, 15149, 104378, 38641, 9174, 29504, 15682, 5486, 47260, 42634, 96452, 54656, 235, 117382, 105755, 100927, 102351, 71289, 21990, 107263, 20230, 27384, 112495, 39850, 37823, 67075, 107407, 103306, 15149, 104378, 30512, 84851, 103130, 127145, 119520, 5486, 125559, 19732, 57106, 115694, 102433, 15682, 74482, 33121, 30512, 18655, 103836, 112973, 102321, 103397, 38641, 9174, 22656, 47260, 32131, 91062, 77181, 123085, 19732, 125559, 16144, 15149, 104378, 30512, 57106, 103854, 106272, 5486, 125559, 77181, 67645, 120950, 15149, 104378, 30512, 103350, 102923, 103792, 104865, 32977, 126362, 78434, 9174, 567, 75302, 104378, 29295, 26130, 30832, 110731, 114667, 198, 15149, 104378, 16144, 113173, 16144, 115303, 59739, 29295, 36896, 104378, 16144, 105284, 16144, 70141, 17905, 10646, 38641, 109900, 15682, 5486, 100927, 102351, 125030, 114598, 21990, 107263, 125030, 114598, 27384, 112495, 39850, 37823, 67075, 102083, 58942, 33541, 9174, 100927, 102351, 125030, 76947, 16144, 39850, 37823, 67075, 15682, 5486, 121101, 16144, 126120, 96455, 33208, 29295, 125494, 108608, 100909, 38641, 1811, 123532, 37507, 119775, 5486, 115507, 52414, 16144, 104371, 114601, 71289, 100927, 103234, 16144, 107253, 104874, 104309, 29295, 112825, 72238, 33208, 84389, 5486, 107141, 101275, 16325, 32977, 88631, 102181, 54926, 109215, 29295, 103470, 120115, 111199, 88631, 16556, 103130, 109315, 100909, 55031, 5486, 100927, 102351, 16144, 109972, 106529, 30512, 117355, 114485, 108608, 102083, 123671, 33541, 118855, 5486, 108134, 71289, 47260, 108304, 119495, 30512, 100927, 102351, 42016, 101559, 16556, 55999, 19361, 54926, 100909, 112212, 5486, 105266, 15120, 26854, 104378, 30512, 104908, 108608, 101200, 108176, 123017, 5486, 104378, 16144, 105284, 16144, 70141, 17905, 107294, 105722, 30369, 123253, 9174, 21990, 107263, 125030, 114598, 5486, 91875, 55723, 71289, 79785, 71174, 104309, 30512, 76706, 11883, 56051, 100927, 103234, 47260, 108304, 119495, 16144, 76706, 11883, 112212, 5486, 48864, 108710, 20230, 109834, 103868, 30512, 110794, 36668, 33014, 112535, 48864, 109416, 30297, 117408, 110783, 110095, 29295, 21990, 123606, 126172, 115737, 31431, 33541, 1811, 76706, 11883, 25333, 113468, 15682, 5486, 123532, 37507, 16144, 111199, 88631, 30512, 62543, 17663, 103378, 102677, 101682, 91875, 109904, 105335, 106696, 55031, 5486, 47307, 52884, 123167, 79982, 106968, 16556, 107141, 101275, 44915, 30512, 55999, 19361, 54926, 102083, 100472, 27327, 91875, 109904, 105335, 106696, 20230, 104721, 33208, 124545, 115789, 88367, 38641, 1811, 28713, 19732, 116285, 5486, 105994, 29295, 19967, 13153, 56051, 109544, 30512, 120115, 111199, 88631, 71289, 127177, 21990, 107263, 16144, 47307, 52884, 123167, 20230, 55999, 19361, 54926, 102083, 100472, 41007, 32977, 119237, 20230, 125545, 1811, 104836, 112169, 25287, 16144, 39880, 29220, 103906, 52884, 9458, 32131, 118928, 94550, 120950, 107141, 101275, 32977, 5486, 15149, 104378, 105110, 103350, 102321, 15024, 126172, 47884, 109020, 123253, 9174, 122270, 5486, 116414, 20230, 102532, 32977, 105266, 50667, 26854, 104378, 114475, 76622, 110071, 102677, 28542, 32977, 5486, 15149, 104378, 29295, 26130, 30832, 110731, 114667, 16144, 115303, 59739, 38641, 1811, 2366, 15, 8107, 104149, 20230, 105693, 111717, 15120, 7741, 231, 105677, 101467, 120950, 105908, 72718, 50834, 111243, 5486, 124773, 123437, 67075, 117501, 19732, 47307, 52884, 123167, 79982, 106968, 29295, 30591, 104984, 46729, 20230, 16995, 106272, 107141, 101275, 29295, 101682, 76622, 102204, 33541, 15024, 5486, 103188, 101734, 236, 30590, 71289, 110596, 113849, 30590, 102083, 100472, 109606, 30512, 108623, 105262, 119208, 72661, 13177, 110596, 113849, 107141, 101275, 10646, 112212, 105266, 50667, 26854, 104378, 30512, 104908, 108608, 101200, 115717, 33541, 9174, 567, 105180, 16144, 15149, 104378, 16144, 102321, 103397, 198, 15149, 104378, 15682, 5486, 29504, 125030, 76947, 107693, 26854, 113495, 16144, 115303, 59739, 38641, 118844, 30512, 77913, 102321, 33208, 56051, 104378, 119254, 103306, 5486, 17161, 34048, 108396, 66870, 77181, 13177, 38, 1953, 32, 115592, 64178, 106391, 101067, 118587, 84851, 103130, 127145, 1811, 38, 1953, 32, 115592, 64178, 106391, 101067, 107118, 5486, 21990, 107263, 16, 17792, 16, 55038, 16144, 47307, 52884, 123167, 79982, 106968, 30512, 58318, 58942, 104533, 107173, 20230, 5486, 104575, 102052, 120018, 9458, 27384, 37729, 33857, 16144, 118597, 118823, 102756, 105048, 30512, 64531, 104874, 39926, 5486, 33671, 101083, 31640, 104575, 104378, 111363, 112113, 107804, 17039, 117824, 33334, 30297, 102677, 102944, 38641, 1811, 17663, 16556, 20230, 21990, 107263, 16, 17792, 16, 55038, 16144, 79982, 106968, 55487, 104874, 30512, 111587, 105823, 28713, 94134, 33014, 32977, 57903, 5486, 103350, 102321, 121254, 107441, 119448, 47884, 91875, 50834, 20834, 127145, 9174, 107118, 16995, 58942, 123085, 16144, 15149, 104378, 15682, 125559, 19732, 57106, 115694, 30250, 227, 115032, 112973, 102321, 103397, 38641, 1811, 17161, 34048, 108396, 66870, 29295, 123011, 109013, 104873, 112984, 103732, 104533, 5486, 104378, 11883, 109713, 70563, 72369, 108337, 16, 55038, 40265, 28713, 111331, 21990, 107263, 9039, 15682, 19, 13, 24, 17792, 10110, 2366, 15, 8107, 75376, 127164, 15682, 1049, 23, 116358, 119526, 16556, 5486, 109713, 70563, 72369, 108337, 16, 55038, 40265, 115926, 18, 13, 16, 17792, 38641, 55031, 123085, 29295, 605, 8107, 71689, 32977, 30250, 227, 115032, 105908, 78183, 107277, 33541, 10110, 126738, 5486, 2366, 16, 116358, 119526, 77181, 123085, 15682, 109713, 70563, 72369, 108337, 16, 55038, 40265, 115926, 16, 13, 24, 17792, 20230, 103296, 103572, 82317, 127145, 123505, 47307, 52884, 123167, 79982, 106968, 29295, 103572, 82317, 120837, 5486, 100927, 102452, 16556, 107740, 108608, 117501, 29295, 123207, 115552, 115991, 107515, 1811, 102433, 122692, 100927, 102452, 16144, 43568, 101911, 24299, 64531, 104874, 96455, 15682, 2166, 13, 24, 4, 5486, 120115, 111199, 88631, 123160, 27384, 25287, 46239, 123128, 64531, 104874, 96455, 15682, 1399, 13, 15, 4, 10110, 107173, 20230, 2366, 15, 8107, 7705, 19732, 5486, 103268, 17620, 25580, 123470, 104575, 77181, 106839, 17701, 84389, 126386, 105908, 78183, 107277, 33541, 9174, 53900, 5486, 103350, 104983, 20230, 104575, 16144, 107141, 101275, 16556, 107740, 110731, 32149, 30512, 104873, 112984, 56051, 120270, 103732, 104533, 123085, 77181, 29504, 102158, 5486, 118687, 5486, 22649, 70626, 121960, 13177, 68408, 76428, 122258, 101513, 32648, 30512, 107740, 21105, 103, 16995, 66383, 103899, 107800, 21990, 107263, 16144, 111017, 40862, 29295, 103664, 23, 111017, 32977, 16995, 79721, 1811, 53965, 6620, 10110, 106613, 111587, 108975, 48634, 122401, 101513, 106391, 120732, 21601, 107808, 29504, 77181, 5486, 107740, 103792, 21990, 107263, 16144, 118881, 29295, 103268, 17620, 71689, 32977, 102334, 110115, 103359, 39926, 123085, 77181, 17, 111017, 25580, 123470, 21990, 107263, 67016, 76706, 11883, 109768, 100604, 112973, 103350, 40474, 38641, 9174, 14711, 105180, 16144, 15149, 104378, 29295, 30250, 227, 115032, 114667, 198, 17905, 61304, 16144, 9039, 112603, 15682, 38, 1953, 32, 115592, 64178, 106391, 101067, 104309, 112212, 119273, 104680, 20230, 23226, 106594, 116216, 61689, 29295, 108048, 116446, 32977, 26854, 112371, 123085, 15682, 110382, 103296, 15149, 104378, 20230, 30250, 227, 33121, 30512, 18655, 103836, 105879, 109954, 32149, 9174, 114667, 16144, 115303, 59739, 29295, 36896, 103911, 70203, 30512, 105184, 33563, 118765, 10646, 105908, 123680, 102639, 102204, 33541, 1811, 17905, 43032, 16144, 121640, 5486, 47307, 52884, 123167, 79982, 106968, 30512, 21990, 107263, 16, 17792, 16, 55038, 106839, 17701, 54926, 116446, 32977, 5486, 100927, 102452, 16144, 43568, 101911, 24299, 117501, 30512, 64531, 104874, 56051, 31431, 5486, 64810, 123283, 37823, 103906, 103359, 105226, 30512, 102923, 56051, 111842, 5486, 43240, 119064, 112686, 39084, 29295, 109215, 115717, 33541, 9174, 53900, 36896, 104378, 102321, 75267, 20230, 15149, 124905, 16995, 22957, 26854, 122101, 17792, 103234, 29295, 127242, 103792, 10646, 115789, 111681, 104482, 38641, 1811, 21990, 107263, 20230, 15149, 101513, 32648, 124905, 110027, 30369, 102052, 5486, 126843, 100927, 102351, 29295, 33655, 16995, 22957, 26854, 122101, 101200, 48864, 108710, 54926, 109215, 115991, 33541, 1811, 90620, 16556, 30813, 58942, 121101, 33857, 29295, 127181, 102083, 126832, 26854, 32149, 5486, 15149, 30512, 48864, 104369, 82973, 32977, 109215, 104856, 104984, 5486, 100927, 102351, 16144, 109972, 106529, 15682, 33541, 33541, 119448, 47884, 109020, 123253, 9174, 108895, 56051, 111681, 104482, 30512, 50338, 104662, 109768, 47884, 105908, 5486, 15149, 104378, 16144, 84851, 103130, 54926, 30297, 58942, 16556, 32018, 62004, 110071, 16144, 38641, 9174, 121846, 29411, 17161, 34048, 108396, 66870, 13177, 103507, 34208, 17, 110895, 107668, 101467, 122692, 104378, 16144, 108134, 33208, 16144, 103350, 107328, 50667, 123863, 104873, 112984, 111329, 17161, 34048, 108396, 66870, 9458 ]
[ 29504, 80195, 104378, 113495, 121224, 13177, 53965, 6620, 59363, 107263, 16144, 48864, 108710, 28037, 104067, 27479, 104873, 112984, 679, 23, 8107, 104873, 112984, 111329, 567, 109283, 48915, 16144, 15149, 104378, 16144, 30926, 27452, 198, 125559, 77181, 5486, 67645, 120950, 15149, 104378, 30512, 103130, 62004, 100934, 105879, 109954, 32149, 1811, 15149, 104378, 122692, 61826, 103130, 125525, 103350, 40474, 30512, 64121, 100481, 50834, 17129, 109954, 9174, 14711, 94632, 114740, 40862, 123378, 29504, 198, 127164, 15682, 55139, 113468, 32977, 108901, 26854, 31431, 33541, 29295, 5486, 102717, 19732, 124592, 16144, 55139, 16556, 21990, 107263, 20230, 101335, 84477, 80805, 102741, 109713, 71289, 47307, 52884, 123167, 79982, 106968, 30512, 55487, 52927, 15024, 5486, 107141, 101275, 117824, 103836, 117840, 1811, 102159, 107707, 124131, 84477, 108526, 16073, 32977, 109215, 20230, 106608, 100204, 38144, 107740, 30512, 110008, 31540, 54926, 102083, 100472, 33014, 44416, 32977, 64531, 76947, 61689, 9174, 14711, 106030, 125057, 89154, 64178, 198, 57207, 125057, 89154, 64178, 32977, 5486, 15149, 104378, 16144, 61826, 103130, 125525, 115303, 59739, 1811, 102433, 55031, 32977, 43240, 119064, 114363, 103722, 46729, 29295, 103984, 105085, 20230, 120824, 106824, 61689, 1811, 26130, 30832, 17663, 125231, 15682, 13177, 52591, 72369, 113335, 68581, 61398, 29220, 64178, 66383, 95604, 114305, 118844, 15682, 5486, 15149, 30512, 76706, 11883, 56051, 104378, 25333, 30512, 104575, 29295, 105212, 20230, 29172, 81742, 108608, 102677, 102944, 1811, 118935, 11883, 84389, 104533, 5486, 21990, 107263, 16, 17792, 16, 55038, 16144, 47307, 52884, 123167, 79982, 106968, 29295, 104575, 20230, 55487, 52927, 107001, 104309, 5486, 29504, 117758, 46034, 112950, 16995, 122521, 29295, 101682, 76622, 102204, 33541, 9174, 14711, 125822, 29504, 198, 1049, 21, 8107, 102052, 120115, 111199, 88631, 71289, 43568, 101911, 24299, 104309, 30512, 64531, 104874, 39926, 107740, 117501, 30512, 106391, 113638, 56051, 31431, 5486, 1049, 22, 8107, 102052, 47307, 52884, 123167, 79982, 106968, 30512, 76706, 11883, 56051, 68408, 76428, 122258, 100927, 70626, 102181, 30512, 118935, 11883, 56051, 111842, 5486, 103856, 47884, 55031, 15149, 104378, 16144, 117501, 64531, 104874, 30512, 103130, 107436, 105898, 116137, 29504, 1811, 29504, 29295, 96455, 61826, 39926, 104378, 89154, 108337, 33710, 116229, 30512, 118013, 109415, 5486, 100927, 103234, 71289, 48864, 108710, 103223, 64178, 30512, 55999, 19361, 108608, 106624, 64121, 32977, 64531, 76947, 61689, 9174, 14711, 107289, 93488, 99959, 198, 90962, 93488, 99959, 32977, 5486, 29504, 29295, 96455, 61826, 39926, 15149, 104378, 30512, 84851, 103130, 54926, 103846, 5486, 68408, 76428, 122258, 100927, 103234, 16144, 125540, 67075, 108526, 103202, 30512, 104908, 54926, 104309, 5486, 118969, 75694, 17129, 26854, 122521, 117824, 76947, 61689, 1811, 48864, 108710, 103130, 15017, 245, 127749, 30512, 40452, 108608, 39880, 115507, 32977, 104908, 126020, 5486, 21990, 107263, 121142, 103470, 123050, 30046, 107173, 55999, 19361, 108608, 106624, 64121, 117084, 61689, 9174, 14711, 105026, 57183, 16073, 116670, 198, 106384, 16073, 116670, 77181, 5486, 2550, 15, 112425, 55031, 15149, 104378, 117501, 16144, 64531, 104874, 29295, 103130, 62004, 124195, 50834, 79721, 1811, 112599, 16144, 124773, 123437, 67075, 16144, 64531, 104874, 96455, 15682, 1041, 113127, 1811, 122617, 16144, 31809, 104575, 20230, 120115, 111199, 88631, 29295, 106839, 17701, 116216, 61689, 1811, 118899, 77181, 5486, 19330, 111134, 22398, 30512, 107141, 101275, 20230, 106839, 17701, 54926, 104309, 17039, 28713, 26854, 102923, 105226, 105352, 108882, 110993, 112535, 108167, 125639, 5486, 15149, 16144, 76706, 11883, 29295, 107850, 109526, 235, 112535, 103130, 126559, 29504, 38641, 9174, 14711, 105729, 104603, 112997, 198, 25197, 104603, 112997, 77181, 5486, 679, 19, 116033, 13177, 59122, 287, 66383, 95604, 17039, 100927, 70626, 29295, 106839, 17701, 84389, 79721, 1811, 36668, 20230, 57326, 77750, 32131, 101198, 94550, 16144, 48864, 108710, 16556, 5486, 2366, 15, 8107, 55031, 27704, 117864, 102433, 16144, 57326, 77750, 32131, 101198, 94550, 104378, 30512, 61826, 108167, 56051, 32149, 105459, 38641, 118855, 5486, 104575, 113468, 15682, 100927, 102452, 32943, 20230, 120115, 111199, 88631, 71289, 109242, 9039, 16144, 68408, 22398, 110548, 103830, 80805, 102741, 109713, 30512, 102332, 22324, 54926, 104309, 5486, 21990, 107263, 29295, 95221, 117355, 20230, 15149, 101513, 32648, 20230, 109835, 33121, 110071, 117501, 32977, 64531, 104874, 116216, 61689, 9174, 567, 220, 123011, 62004, 198, 47260, 42634, 96452, 54656, 235, 117084, 5486, 15149, 104378, 16144, 107693, 34171, 30512, 104736, 109375, 107726, 109115, 24273, 32977, 43240, 117714, 111769, 123253, 32149, 109900, 19732, 115963, 20230, 5486, 605, 8107, 5486, 508, 8107, 71689, 32977, 25580, 55031, 15149, 33208, 29295, 103130, 126559, 120328, 48915, 125525, 103350, 40474, 30512, 53283, 31431, 123085, 16144, 104378, 102321, 75267, 125001, 111201, 30250, 227, 115032, 32149, 19732, 95221, 47000, 32149, 103646, 104378, 116690, 30046, 32977, 83747, 103470, 100604, 123253, 9174, 125559, 77181, 5486, 29504, 29295, 96455, 61826, 39926, 15149, 104378, 30512, 84851, 103130, 109768, 104533, 107404, 32977, 30591, 104984, 5486, 104575, 55031, 29504, 20230, 29172, 81742, 108608, 106624, 64121, 107407, 104309, 5486, 29504, 19732, 104378, 102321, 75267, 16144, 102780, 105360, 64121, 29295, 27929, 85791, 103836, 126465, 29295, 43240, 47884, 64121, 102204, 33541, 9174, 102433, 77181, 5486, 29504, 32977, 104378, 102321, 75267, 32977, 111681, 104482, 30512, 108623, 58942, 100934, 104466, 64121, 58942, 33541, 29295, 112160, 59739, 115303, 59739, 50338, 104662, 21105, 103, 29295, 33503, 103130, 62004, 100481, 47884, 105908, 15149, 104378, 16144, 103572, 82317, 124545, 60358, 45893, 102083, 105262, 123253, 9174, 91875, 55723, 55999, 19361, 111848, 61337, 32943, 105352, 127567, 17663, 44597, 118821, 8239, 114503, 198, 91875, 55723, 111848, 61337, 32943, 47260, 119263, 78683, 102663, 38248, 115, 78205, 113883, 76706, 11883, 127749, 16144, 117903, 104873, 112984, 55031, 119767, 32943, 108285, 78943, 9458, 124773, 109793, 33710, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 63415, 113551, 72516, 104378, 63415, 76171, 71634, 119539, 102514, 48864, 108710, 91875, 55723, 9458, 115320, 102456, 116696, 107060, 113245, 90962, 99695, 44971, 38248, 115, 78205, 16073, 104309, 6704, 100, 246, 104680, 26854, 11883, 108968, 113245, 91875, 55723, 16144, 76706, 11883, 41007, 30512, 126362, 127145, 1811, 92693, 99959, 115691, 42634, 65575, 15682, 117896, 55031, 128001, 128000, 2, 68042, 42634, 96452, 54656, 235, 16144, 104157, 103882, 102571, 72516, 124750, 106613, 112167, 198, 17039, 25287, 47260, 42634, 96452, 65299, 106696, 117718, 99750, 108208, 26955, 94, 27384, 112212, 5486, 78847, 7, 102616, 33563, 105298, 101513, 97518, 8, 29295, 126238, 105047, 30926, 107328, 107322, 78244, 30512, 20834, 39926, 55031, 113692, 17, 8107, 29295, 106613, 43514, 79721, 1811, 89408, 109156, 31431, 102433, 72661, 108947, 102404, 109904, 99750, 108208, 26955, 94, 27384, 29295, 82533, 17129, 121140, 5486, 112599, 2148, 16144, 72368, 45893, 102697, 72099, 16556, 17129, 25827, 109337, 103181, 82533, 125334, 107001, 104309, 5486, 112185, 112185, 44416, 48249, 29295, 102332, 76622, 124195, 61689, 29295, 110371, 61826, 47260, 42634, 96452, 19732, 55999, 25359, 54926, 19000, 31431, 24273, 29295, 54872, 52084, 116216, 61689, 9174, 567, 68042, 42634, 96452, 54656, 235, 101678, 46034, 104157, 103882, 102571, 116696, 107060, 72516, 124750, 9039, 16144, 104721, 33208, 198, 47260, 42634, 96452, 54656, 235, 119012, 17, 116358, 56965, 16556, 5486, 33420, 106382, 112919, 104654, 103826, 29430, 15682, 119448, 47884, 104721, 33208, 121256, 1811, 104157, 103882, 102571, 116696, 107060, 72516, 120938, 75267, 105572, 975, 61337, 15682, 72516, 124750, 16144, 125844, 56906, 29295, 82533, 17129, 110104, 102083, 61689, 1811, 975, 61337, 16144, 103768, 112167, 72516, 124750, 9039, 15682, 5486, 47260, 42634, 96452, 123628, 679, 24, 8107, 717, 9953, 39177, 28542, 16556, 22, 11, 1049, 72516, 57903, 79721, 29295, 5486, 2366, 16, 8107, 106968, 77181, 20, 11, 24344, 72516, 19732, 16, 11, 18349, 72516, 7, 972, 11, 23, 11587, 114485, 100472, 105908, 78183, 107277, 79721, 9174, 2366, 16, 8107, 605, 9953, 23897, 104989, 5486, 126238, 105047, 30926, 107328, 107322, 78244, 16144, 50338, 21418, 16556, 38574, 106090, 112535, 103882, 104770, 104908, 16144, 44416, 48249, 15682, 125844, 25766, 225, 84389, 79721, 119520, 110745, 17792, 9039, 113245, 8676, 112, 105350, 119279, 22957, 26854, 119841, 104309, 5486, 47260, 42634, 96452, 25580, 119775, 18904, 109095, 54926, 102052, 16906, 111, 102800, 127749, 29295, 106307, 102532, 61689, 115397, 34048, 16144, 114435, 15682, 110577, 25359, 72516, 30512, 123307, 107079, 72516, 104309, 103283, 101275, 107328, 20230, 122489, 39926, 5486, 72516, 124750, 109205, 69978, 30512, 111629, 30369, 91875, 50834, 32977, 101182, 117840, 29295, 110745, 103268, 15682, 72516, 124750, 119962, 72516, 29295, 106307, 119188, 102321, 103397, 115991, 33541, 9174, 567, 68042, 42634, 96452, 25580, 55031, 72516, 124750, 103664, 17, 111017, 114485, 198, 679, 24, 8107, 717, 9953, 106968, 16144, 22, 11, 1049, 72516, 30512, 72718, 28542, 20230, 112990, 5486, 16, 18904, 118322, 126238, 105047, 30926, 107328, 107322, 78244, 29295, 50338, 21418, 103646, 74245, 123470, 2366, 15, 8107, 21, 9953, 106968, 103296, 16144, 103268, 8107, 56965, 16556, 22303, 72516, 7, 22, 13, 21, 4, 114485, 8, 29295, 114485, 114715, 112160, 95221, 20230, 119962, 72516, 29295, 21601, 95399, 121256, 1811, 2366, 16, 8107, 18, 9953, 106968, 103296, 16556, 5486, 64803, 103268, 23538, 48154, 110792, 119962, 72516, 15682, 3965, 21909, 1049, 72516, 16144, 99695, 61398, 16556, 106307, 50834, 79721, 109807, 74482, 5486, 2366, 16, 8107, 21, 9953, 106968, 77181, 4578, 72516, 114485, 31431, 5486, 2366, 16, 8107, 24, 9953, 106968, 16556, 6550, 72516, 114485, 19732, 5486, 64803, 103268, 23538, 102832, 61398, 77181, 1041, 72516, 25580, 123470, 119962, 72516, 125030, 67645, 109709, 79721, 9174, 67016, 21105, 103, 29295, 33503, 5486, 74245, 60358, 16144, 2366, 16, 8107, 717, 9953, 106968, 77181, 8011, 72516, 114485, 19732, 5120, 72516, 30512, 72404, 58942, 5486, 88356, 102802, 119962, 72516, 29295, 115079, 105262, 6708, 228, 21105, 234, 102321, 106824, 61689, 1811, 119962, 72516, 16144, 114667, 103306, 36896, 116294, 78525, 47260, 42634, 96452, 10646, 113245, 48915, 102456, 103826, 29430, 16144, 104721, 33208, 5486, 61826, 23039, 50834, 16144, 16937, 108950, 31958, 99750, 55031, 110745, 46034, 975, 61337, 16144, 103768, 112167, 102923, 105226, 29295, 33563, 106154, 9554, 110276, 19732, 113727, 124195, 61689, 9174, 47260, 42634, 96452, 25580, 19732, 57106, 115694, 32335, 32977, 72516, 124750, 114485, 83747, 96455, 29295, 119448, 102518, 104468, 13177, 35330, 16144, 119154, 10646, 104309, 30512, 103768, 112167, 54926, 121450, 50, 16395, 46, 18505, 86951, 88227, 50, 16144, 5486, 1135, 13, 15, 113127, 114485, 7, 6640, 72516, 52118, 4370, 72516, 8, 16556, 56051, 109807, 33671, 20230, 13177, 62903, 91062, 71493, 103223, 59712, 2243, 95, 67645, 31431, 127476, 10646, 123160, 115320, 102456, 72516, 30512, 77413, 87447, 103792, 121450, 41, 6254, 32, 103927, 64178, 103857, 94550, 22398, 15682, 5486, 2096, 13, 18, 113127, 114485, 7, 23996, 72516, 52118, 21330, 72516, 121782, 61075, 72368, 12554, 237, 16144, 47307, 25005, 253, 115307, 103449, 41642, 115195, 16556, 104157, 103882, 102571, 30512, 77413, 87447, 54926, 121450, 4195, 103927, 64178, 103857, 94550, 22398, 15682, 5486, 966, 13, 18, 113127, 114485, 7, 19305, 72516, 52118, 13236, 72516, 8, 19732, 106307, 50834, 33541, 9174, 567, 80019, 106045, 20834, 72516, 15682, 33563, 106154, 9554, 198, 126238, 105047, 30926, 107328, 107322, 78244, 29295, 123201, 50338, 21418, 103646, 2366, 16, 8107, 605, 9953, 23897, 104989, 5486, 103882, 104770, 16144, 104908, 15682, 35424, 74482, 23, 39177, 103296, 103351, 112973, 38574, 106090, 112535, 100783, 102, 34208, 84389, 100481, 50834, 79721, 109900, 126328, 118095, 105189, 104773, 71289, 90962, 106384, 22398, 104773, 16144, 65854, 102780, 15682, 115079, 58942, 27704, 62004, 5486, 107167, 124131, 22398, 33122, 102669, 5486, 8107, 106968, 33122, 102669, 16144, 806, 9953, 9458, 717, 9953, 15682, 105572, 975, 61337, 126636, 103268, 16556, 25580, 8107, 42016, 9953, 30512, 17905, 18904, 30369, 37507, 65854, 9039, 19732, 105525, 31431, 109415, 30512, 105184, 33563, 121256, 9174, 80673, 5486, 2366, 16, 8107, 717, 9953, 106968, 16144, 72516, 124750, 9039, 15682, 5486, 44416, 48249, 100783, 102, 34208, 105352, 32149, 124233, 121140, 15120, 34048, 16144, 114435, 30512, 21418, 50834, 114485, 114715, 79721, 1811, 72516, 124750, 9039, 29295, 2366, 16, 8107, 24, 9953, 106968, 105755, 115079, 21601, 56051, 104468, 36896, 109022, 64936, 59712, 116826, 104369, 116826, 104369, 104840, 102212, 108171, 10646, 104309, 30512, 77413, 87447, 54926, 121450, 44971, 76171, 78525, 124773, 109793, 102895, 115307, 7, 16, 11, 23181, 72516, 52118, 16, 11, 20744, 72516, 121782, 102756, 47307, 101198, 121450, 7, 20385, 72516, 52118, 20360, 72516, 121782, 121450, 52675, 71493, 103223, 101129, 16325, 103927, 64178, 103857, 94550, 22398, 7, 17408, 72516, 52118, 15500, 72516, 8, 16144, 18, 61337, 121142, 56051, 1811, 102756, 47307, 101198, 77181, 5486, 104157, 103882, 102571, 101275, 107328, 16144, 72516, 124750, 30512, 125844, 56906, 54926, 15120, 24273, 5486, 123307, 107079, 72516, 19732, 55031, 21441, 248, 102639, 72516, 16144, 20834, 72516, 30512, 104195, 33208, 15024, 5486, 72516, 124750, 9039, 29295, 115079, 21601, 56051, 102677, 100909, 38641, 1811, 52675, 71493, 103223, 101129, 16325, 77181, 5486, 122013, 89046, 33121, 71289, 57933, 125596, 39880, 125916, 78683, 106240, 30512, 108167, 104526, 108031, 19732, 126783, 104773, 102416, 108882, 110993, 112535, 20834, 72516, 15024, 5486, 1032, 72516, 16144, 115079, 21601, 121711, 79721, 9174, 89408, 16, 9953, 55031, 111717, 16556, 90962, 101198, 110305, 16073, 108156, 16144, 99750, 108208, 26955, 94, 27384, 29295, 125119, 31431, 5486, 17129, 25827, 109337, 103181, 82533, 50667, 121801, 116876, 22324, 29295, 1927, 72368, 45893, 102697, 72099, 16556, 126543, 84389, 79721, 97999, 112599, 15682, 2148, 16144, 72368, 45893, 102697, 72099, 16556, 126543, 116216, 61689, 1811, 8, 104157, 103882, 102571, 103768, 112167, 61337, 15682, 88356, 102802, 16906, 111 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 29504, 80195, 104378, 113495, 121224, 13177, 53965, 6620, 59363, 107263, 16144, 48864, 108710, 28037, 104067, 27479, 104873, 112984, 679, 23, 8107, 104873, 112984, 111329, 567, 109283, 48915, 16144, 15149, 104378, 16144, 30926, 27452, 198, 125559, 77181, 5486, 67645, 120950, 15149, 104378, 30512, 103130, 62004, 100934, 105879, 109954, 32149, 1811, 15149, 104378, 122692, 61826, 103130, 125525, 103350, 40474, 30512, 64121, 100481, 50834, 17129, 109954, 9174, 14711, 94632, 114740, 40862, 123378, 29504, 198, 127164, 15682, 55139, 113468, 32977, 108901, 26854, 31431, 33541, 29295, 5486, 102717, 19732, 124592, 16144, 55139, 16556, 21990, 107263, 20230, 101335, 84477, 80805, 102741, 109713, 71289, 47307, 52884, 123167, 79982, 106968, 30512, 55487, 52927, 15024, 5486, 107141, 101275, 117824, 103836, 117840, 1811, 102159, 107707, 124131, 84477, 108526, 16073, 32977, 109215, 20230, 106608, 100204, 38144, 107740, 30512, 110008, 31540, 54926, 102083, 100472, 33014, 44416, 32977, 64531, 76947, 61689, 9174, 14711, 106030, 125057, 89154, 64178, 198, 57207, 125057, 89154, 64178, 32977, 5486, 15149, 104378, 16144, 61826, 103130, 125525, 115303, 59739, 1811, 102433, 55031, 32977, 43240, 119064, 114363, 103722, 46729, 29295, 103984, 105085, 20230, 120824, 106824, 61689, 1811, 26130, 30832, 17663, 125231, 15682, 13177, 52591, 72369, 113335, 68581, 61398, 29220, 64178, 66383, 95604, 114305, 118844, 15682, 5486, 15149, 30512, 76706, 11883, 56051, 104378, 25333, 30512, 104575, 29295, 105212, 20230, 29172, 81742, 108608, 102677, 102944, 1811, 118935, 11883, 84389, 104533, 5486, 21990, 107263, 16, 17792, 16, 55038, 16144, 47307, 52884, 123167, 79982, 106968, 29295, 104575, 20230, 55487, 52927, 107001, 104309, 5486, 29504, 117758, 46034, 112950, 16995, 122521, 29295, 101682, 76622, 102204, 33541, 9174, 14711, 125822, 29504, 198, 1049, 21, 8107, 102052, 120115, 111199, 88631, 71289, 43568, 101911, 24299, 104309, 30512, 64531, 104874, 39926, 107740, 117501, 30512, 106391, 113638, 56051, 31431, 5486, 1049, 22, 8107, 102052, 47307, 52884, 123167, 79982, 106968, 30512, 76706, 11883, 56051, 68408, 76428, 122258, 100927, 70626, 102181, 30512, 118935, 11883, 56051, 111842, 5486, 103856, 47884, 55031, 15149, 104378, 16144, 117501, 64531, 104874, 30512, 103130, 107436, 105898, 116137, 29504, 1811, 29504, 29295, 96455, 61826, 39926, 104378, 89154, 108337, 33710, 116229, 30512, 118013, 109415, 5486, 100927, 103234, 71289, 48864, 108710, 103223, 64178, 30512, 55999, 19361, 108608, 106624, 64121, 32977, 64531, 76947, 61689, 9174, 14711, 107289, 93488, 99959, 198, 90962, 93488, 99959, 32977, 5486, 29504, 29295, 96455, 61826, 39926, 15149, 104378, 30512, 84851, 103130, 54926, 103846, 5486, 68408, 76428, 122258, 100927, 103234, 16144, 125540, 67075, 108526, 103202, 30512, 104908, 54926, 104309, 5486, 118969, 75694, 17129, 26854, 122521, 117824, 76947, 61689, 1811, 48864, 108710, 103130, 15017, 245, 127749, 30512, 40452, 108608, 39880, 115507, 32977, 104908, 126020, 5486, 21990, 107263, 121142, 103470, 123050, 30046, 107173, 55999, 19361, 108608, 106624, 64121, 117084, 61689, 9174, 14711, 105026, 57183, 16073, 116670, 198, 106384, 16073, 116670, 77181, 5486, 2550, 15, 112425, 55031, 15149, 104378, 117501, 16144, 64531, 104874, 29295, 103130, 62004, 124195, 50834, 79721, 1811, 112599, 16144, 124773, 123437, 67075, 16144, 64531, 104874, 96455, 15682, 1041, 113127, 1811, 122617, 16144, 31809, 104575, 20230, 120115, 111199, 88631, 29295, 106839, 17701, 116216, 61689, 1811, 118899, 77181, 5486, 19330, 111134, 22398, 30512, 107141, 101275, 20230, 106839, 17701, 54926, 104309, 17039, 28713, 26854, 102923, 105226, 105352, 108882, 110993, 112535, 108167, 125639, 5486, 15149, 16144, 76706, 11883, 29295, 107850, 109526, 235, 112535, 103130, 126559, 29504, 38641, 9174, 14711, 105729, 104603, 112997, 198, 25197, 104603, 112997, 77181, 5486, 679, 19, 116033, 13177, 59122, 287, 66383, 95604, 17039, 100927, 70626, 29295, 106839, 17701, 84389, 79721, 1811, 36668, 20230, 57326, 77750, 32131, 101198, 94550, 16144, 48864, 108710, 16556, 5486, 2366, 15, 8107, 55031, 27704, 117864, 102433, 16144, 57326, 77750, 32131, 101198, 94550, 104378, 30512, 61826, 108167, 56051, 32149, 105459, 38641, 118855, 5486, 104575, 113468, 15682, 100927, 102452, 32943, 20230, 120115, 111199, 88631, 71289, 109242, 9039, 16144, 68408, 22398, 110548, 103830, 80805, 102741, 109713, 30512, 102332, 22324, 54926, 104309, 5486, 21990, 107263, 29295, 95221, 117355, 20230, 15149, 101513, 32648, 20230, 109835, 33121, 110071, 117501, 32977, 64531, 104874, 116216, 61689, 9174, 567, 220, 123011, 62004, 198, 47260, 42634, 96452, 54656, 235, 117084, 5486, 15149, 104378, 16144, 107693, 34171, 30512, 104736, 109375, 107726, 109115, 24273, 32977, 43240, 117714, 111769, 123253, 32149, 109900, 19732, 115963, 20230, 5486, 605, 8107, 5486, 508, 8107, 71689, 32977, 25580, 55031, 15149, 33208, 29295, 103130, 126559, 120328, 48915, 125525, 103350, 40474, 30512, 53283, 31431, 123085, 16144, 104378, 102321, 75267, 125001, 111201, 30250, 227, 115032, 32149, 19732, 95221, 47000, 32149, 103646, 104378, 116690, 30046, 32977, 83747, 103470, 100604, 123253, 9174, 125559, 77181, 5486, 29504, 29295, 96455, 61826, 39926, 15149, 104378, 30512, 84851, 103130, 109768, 104533, 107404, 32977, 30591, 104984, 5486, 104575, 55031, 29504, 20230, 29172, 81742, 108608, 106624, 64121, 107407, 104309, 5486, 29504, 19732, 104378, 102321, 75267, 16144, 102780, 105360, 64121, 29295, 27929, 85791, 103836, 126465, 29295, 43240, 47884, 64121, 102204, 33541, 9174, 102433, 77181, 5486, 29504, 32977, 104378, 102321, 75267, 32977, 111681, 104482, 30512, 108623, 58942, 100934, 104466, 64121, 58942, 33541, 29295, 112160, 59739, 115303, 59739, 50338, 104662, 21105, 103, 29295, 33503, 103130, 62004, 100481, 47884, 105908, 15149, 104378, 16144, 103572, 82317, 124545, 60358, 45893, 102083, 105262, 123253, 9174, 91875, 55723, 55999, 19361, 111848, 61337, 32943, 105352, 127567, 17663, 44597, 118821, 8239, 114503, 198, 91875, 55723, 111848, 61337, 32943, 47260, 119263, 78683, 102663, 38248, 115, 78205, 113883, 76706, 11883, 127749, 16144, 117903, 104873, 112984, 55031, 119767, 32943, 108285, 78943, 9458, 124773, 109793, 33710, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 63415, 113551, 72516, 104378, 63415, 76171, 71634, 119539, 102514, 48864, 108710, 91875, 55723, 9458, 115320, 102456, 116696, 107060, 113245, 90962, 99695, 44971, 38248, 115, 78205, 16073, 104309, 6704, 100, 246, 104680, 26854, 11883, 108968, 113245, 91875, 55723, 16144, 76706, 11883, 41007, 30512, 126362, 127145, 1811, 92693, 99959, 115691, 42634, 65575, 15682, 117896, 55031, 128001, 128000, 2, 68042, 42634, 96452, 54656, 235, 16144, 104157, 103882, 102571, 72516, 124750, 106613, 112167, 198, 17039, 25287, 47260, 42634, 96452, 65299, 106696, 117718, 99750, 108208, 26955, 94, 27384, 112212, 5486, 78847, 7, 102616, 33563, 105298, 101513, 97518, 8, 29295, 126238, 105047, 30926, 107328, 107322, 78244, 30512, 20834, 39926, 55031, 113692, 17, 8107, 29295, 106613, 43514, 79721, 1811, 89408, 109156, 31431, 102433, 72661, 108947, 102404, 109904, 99750, 108208, 26955, 94, 27384, 29295, 82533, 17129, 121140, 5486, 112599, 2148, 16144, 72368, 45893, 102697, 72099, 16556, 17129, 25827, 109337, 103181, 82533, 125334, 107001, 104309, 5486, 112185, 112185, 44416, 48249, 29295, 102332, 76622, 124195, 61689, 29295, 110371, 61826, 47260, 42634, 96452, 19732, 55999, 25359, 54926, 19000, 31431, 24273, 29295, 54872, 52084, 116216, 61689, 9174, 567, 68042, 42634, 96452, 54656, 235, 101678, 46034, 104157, 103882, 102571, 116696, 107060, 72516, 124750, 9039, 16144, 104721, 33208, 198, 47260, 42634, 96452, 54656, 235, 119012, 17, 116358, 56965, 16556, 5486, 33420, 106382, 112919, 104654, 103826, 29430, 15682, 119448, 47884, 104721, 33208, 121256, 1811, 104157, 103882, 102571, 116696, 107060, 72516, 120938, 75267, 105572, 975, 61337, 15682, 72516, 124750, 16144, 125844, 56906, 29295, 82533, 17129, 110104, 102083, 61689, 1811, 975, 61337, 16144, 103768, 112167, 72516, 124750, 9039, 15682, 5486, 47260, 42634, 96452, 123628, 679, 24, 8107, 717, 9953, 39177, 28542, 16556, 22, 11, 1049, 72516, 57903, 79721, 29295, 5486, 2366, 16, 8107, 106968, 77181, 20, 11, 24344, 72516, 19732, 16, 11, 18349, 72516, 7, 972, 11, 23, 11587, 114485, 100472, 105908, 78183, 107277, 79721, 9174, 2366, 16, 8107, 605, 9953, 23897, 104989, 5486, 126238, 105047, 30926, 107328, 107322, 78244, 16144, 50338, 21418, 16556, 38574, 106090, 112535, 103882, 104770, 104908, 16144, 44416, 48249, 15682, 125844, 25766, 225, 84389, 79721, 119520, 110745, 17792, 9039, 113245, 8676, 112, 105350, 119279, 22957, 26854, 119841, 104309, 5486, 47260, 42634, 96452, 25580, 119775, 18904, 109095, 54926, 102052, 16906, 111, 102800, 127749, 29295, 106307, 102532, 61689, 115397, 34048, 16144, 114435, 15682, 110577, 25359, 72516, 30512, 123307, 107079, 72516, 104309, 103283, 101275, 107328, 20230, 122489, 39926, 5486, 72516, 124750, 109205, 69978, 30512, 111629, 30369, 91875, 50834, 32977, 101182, 117840, 29295, 110745, 103268, 15682, 72516, 124750, 119962, 72516, 29295, 106307, 119188, 102321, 103397, 115991, 33541, 9174, 567, 68042, 42634, 96452, 25580, 55031, 72516, 124750, 103664, 17, 111017, 114485, 198, 679, 24, 8107, 717, 9953, 106968, 16144, 22, 11, 1049, 72516, 30512, 72718, 28542, 20230, 112990, 5486, 16, 18904, 118322, 126238, 105047, 30926, 107328, 107322, 78244, 29295, 50338, 21418, 103646, 74245, 123470, 2366, 15, 8107, 21, 9953, 106968, 103296, 16144, 103268, 8107, 56965, 16556, 22303, 72516, 7, 22, 13, 21, 4, 114485, 8, 29295, 114485, 114715, 112160, 95221, 20230, 119962, 72516, 29295, 21601, 95399, 121256, 1811, 2366, 16, 8107, 18, 9953, 106968, 103296, 16556, 5486, 64803, 103268, 23538, 48154, 110792, 119962, 72516, 15682, 3965, 21909, 1049, 72516, 16144, 99695, 61398, 16556, 106307, 50834, 79721, 109807, 74482, 5486, 2366, 16, 8107, 21, 9953, 106968, 77181, 4578, 72516, 114485, 31431, 5486, 2366, 16, 8107, 24, 9953, 106968, 16556, 6550, 72516, 114485, 19732, 5486, 64803, 103268, 23538, 102832, 61398, 77181, 1041, 72516, 25580, 123470, 119962, 72516, 125030, 67645, 109709, 79721, 9174, 67016, 21105, 103, 29295, 33503, 5486, 74245, 60358, 16144, 2366, 16, 8107, 717, 9953, 106968, 77181, 8011, 72516, 114485, 19732, 5120, 72516, 30512, 72404, 58942, 5486, 88356, 102802, 119962, 72516, 29295, 115079, 105262, 6708, 228, 21105, 234, 102321, 106824, 61689, 1811, 119962, 72516, 16144, 114667, 103306, 36896, 116294, 78525, 47260, 42634, 96452, 10646, 113245, 48915, 102456, 103826, 29430, 16144, 104721, 33208, 5486, 61826, 23039, 50834, 16144, 16937, 108950, 31958, 99750, 55031, 110745, 46034, 975, 61337, 16144, 103768, 112167, 102923, 105226, 29295, 33563, 106154, 9554, 110276, 19732, 113727, 124195, 61689, 9174, 47260, 42634, 96452, 25580, 19732, 57106, 115694, 32335, 32977, 72516, 124750, 114485, 83747, 96455, 29295, 119448, 102518, 104468, 13177, 35330, 16144, 119154, 10646, 104309, 30512, 103768, 112167, 54926, 121450, 50, 16395, 46, 18505, 86951, 88227, 50, 16144, 5486, 1135, 13, 15, 113127, 114485, 7, 6640, 72516, 52118, 4370, 72516, 8, 16556, 56051, 109807, 33671, 20230, 13177, 62903, 91062, 71493, 103223, 59712, 2243, 95, 67645, 31431, 127476, 10646, 123160, 115320, 102456, 72516, 30512, 77413, 87447, 103792, 121450, 41, 6254, 32, 103927, 64178, 103857, 94550, 22398, 15682, 5486, 2096, 13, 18, 113127, 114485, 7, 23996, 72516, 52118, 21330, 72516, 121782, 61075, 72368, 12554, 237, 16144, 47307, 25005, 253, 115307, 103449, 41642, 115195, 16556, 104157, 103882, 102571, 30512, 77413, 87447, 54926, 121450, 4195, 103927, 64178, 103857, 94550, 22398, 15682, 5486, 966, 13, 18, 113127, 114485, 7, 19305, 72516, 52118, 13236, 72516, 8, 19732, 106307, 50834, 33541, 9174, 567, 80019, 106045, 20834, 72516, 15682, 33563, 106154, 9554, 198, 126238, 105047, 30926, 107328, 107322, 78244, 29295, 123201, 50338, 21418, 103646, 2366, 16, 8107, 605, 9953, 23897, 104989, 5486, 103882, 104770, 16144, 104908, 15682, 35424, 74482, 23, 39177, 103296, 103351, 112973, 38574, 106090, 112535, 100783, 102, 34208, 84389, 100481, 50834, 79721, 109900, 126328, 118095, 105189, 104773, 71289, 90962, 106384, 22398, 104773, 16144, 65854, 102780, 15682, 115079, 58942, 27704, 62004, 5486, 107167, 124131, 22398, 33122, 102669, 5486, 8107, 106968, 33122, 102669, 16144, 806, 9953, 9458, 717, 9953, 15682, 105572, 975, 61337, 126636, 103268, 16556, 25580, 8107, 42016, 9953, 30512, 17905, 18904, 30369, 37507, 65854, 9039, 19732, 105525, 31431, 109415, 30512, 105184, 33563, 121256, 9174, 80673, 5486, 2366, 16, 8107, 717, 9953, 106968, 16144, 72516, 124750, 9039, 15682, 5486, 44416, 48249, 100783, 102, 34208, 105352, 32149, 124233, 121140, 15120, 34048, 16144, 114435, 30512, 21418, 50834, 114485, 114715, 79721, 1811, 72516, 124750, 9039, 29295, 2366, 16, 8107, 24, 9953, 106968, 105755, 115079, 21601, 56051, 104468, 36896, 109022, 64936, 59712, 116826, 104369, 116826, 104369, 104840, 102212, 108171, 10646, 104309, 30512, 77413, 87447, 54926, 121450, 44971, 76171, 78525, 124773, 109793, 102895, 115307, 7, 16, 11, 23181, 72516, 52118, 16, 11, 20744, 72516, 121782, 102756, 47307, 101198, 121450, 7, 20385, 72516, 52118, 20360, 72516, 121782, 121450, 52675, 71493, 103223, 101129, 16325, 103927, 64178, 103857, 94550, 22398, 7, 17408, 72516, 52118, 15500, 72516, 8, 16144, 18, 61337, 121142, 56051, 1811, 102756, 47307, 101198, 77181, 5486, 104157, 103882, 102571, 101275, 107328, 16144, 72516, 124750, 30512, 125844, 56906, 54926, 15120, 24273, 5486, 123307, 107079, 72516, 19732, 55031, 21441, 248, 102639, 72516, 16144, 20834, 72516, 30512, 104195, 33208, 15024, 5486, 72516, 124750, 9039, 29295, 115079, 21601, 56051, 102677, 100909, 38641, 1811, 52675, 71493, 103223, 101129, 16325, 77181, 5486, 122013, 89046, 33121, 71289, 57933, 125596, 39880, 125916, 78683, 106240, 30512, 108167, 104526, 108031, 19732, 126783, 104773, 102416, 108882, 110993, 112535, 20834, 72516, 15024, 5486, 1032, 72516, 16144, 115079, 21601, 121711, 79721, 9174, 89408, 16, 9953, 55031, 111717, 16556, 90962, 101198, 110305, 16073, 108156, 16144, 99750, 108208, 26955, 94, 27384, 29295, 125119, 31431, 5486, 17129, 25827, 109337, 103181, 82533, 50667, 121801, 116876, 22324, 29295, 1927, 72368, 45893, 102697, 72099, 16556, 126543, 84389, 79721, 97999, 112599, 15682, 2148, 16144, 72368, 45893, 102697, 72099, 16556, 126543, 116216, 61689, 1811, 8, 104157, 103882, 102571, 103768, 112167, 61337, 15682, 88356, 102802, 16906, 111 ]
[ 102800, 127749, 20230, 74245, 28190, 116216, 61689, 1811, 43240, 119064, 114435, 16556, 104157, 103882, 102571, 101275, 107328, 55031, 57933, 125596, 39880, 125916, 30512, 96412, 104004, 17039, 101275, 107328, 111363, 74843, 17701, 30512, 54872, 52084, 116216, 61689, 29295, 112160, 34048, 30512, 21418, 102532, 27384, 46034, 114435, 16556, 101275, 107328, 122489, 20230, 33420, 110993, 9554, 38641, 1811, 17129, 25827, 109337, 103181, 82533, 50667, 121801, 116876, 22324, 16144, 88356, 109337, 101544, 71289, 47260, 42634, 96452, 99750, 108208, 30046, 9039, 16144, 45736, 82533, 109709, 29295, 106307, 126145, 5486, 102208, 61337, 16144, 119962, 72516, 99695, 61398, 29295, 21601, 95399, 15024, 5486, 25132, 229, 11883, 71289, 18655, 73686, 61826, 104309, 111363, 117375, 29295, 108285, 16995, 119318, 116310, 16556, 82317, 104369, 105908, 103435, 116, 104611, 116216, 61689, 9174, 16, 9080, 32977, 103856, 47884, 115320, 64121, 117434, 123160, 71005, 109519, 117434, 16144, 122401, 9458, 105005, 104736, 29295, 103130, 64121, 108948, 72516, 110366, 32977, 107740, 54926, 110366, 32977, 127408, 16144, 43568, 16995, 101083, 107809, 29295, 37507, 38144, 102717, 102800, 38641, 9174, 8306, 77181, 33563, 117126, 16144, 100909, 121142, 103470, 5486, 113614, 106613, 112167, 71289, 103826, 104680, 26854, 108134, 104908, 117824, 76947, 17129, 16995, 31431, 33541, 6447, 47260, 42634, 96452, 54656, 235, 121711, 13177, 102741, 38248, 115, 68581, 33710, 103857, 105335, 107446, 117503, 113146, 119627, 5486, 8306, 19732, 33334, 65854, 103826, 16144, 64209, 15682, 13177, 101335, 38248, 121, 38248, 115, 68581, 33710, 103857, 105335, 107446, 10646, 38641, 32351, 85701, 55031, 32977, 104405, 108422, 57980, 85791, 106624, 33334, 124730, 78434, 9468, 234, 119, 198, 51330, 77219, 111363, 90178, 15682, 124897, 1811, 128001, 128000, 125821, 105465, 20230, 17792, 19732, 59739, 105722, 30369, 124122, 107461, 52414, 198, 17039, 102181, 114971, 116011, 82420, 1958, 32307, 34048, 72404, 5486, 75293, 103192, 16144, 123488, 33208, 30537, 17, 119375, 106609, 113116, 70626, 103242, 29295, 100927, 105262, 5486, 34171, 35083, 16144, 115598, 31431, 30512, 13177, 102159, 34171, 10646, 20230, 104721, 58942, 5486, 123726, 126172, 30813, 30512, 96356, 107294, 105784, 112258, 113, 107118, 103794, 198, 26854, 112371, 114387, 20230, 106984, 231, 161, 57923, 39926, 114732, 104865, 95532, 26854, 112371, 114387, 20230, 21388, 113529, 29295, 119467, 16995, 104865, 95532, 26854, 112371, 27384, 30926, 26854, 17792, 30512, 123927, 18904, 39926, 114732, 104865, 95532, 14382, 58426, 123726, 109669, 33503, 30813, 71289, 101128, 102, 64121, 5486, 127408, 16144, 124858, 102052, 13177, 80805, 38248, 121, 96452, 37823, 103906, 108502, 104698, 10646, 107407, 105908, 78183, 126469, 50834, 79721, 1811, 37656, 102800, 53283, 109375, 30512, 50928, 38144, 5486, 117271, 16144, 106548, 24273, 30512, 53283, 30369, 118733, 13177, 108502, 104698, 10646, 15682, 13177, 80805, 38248, 121, 96452, 37823, 103906, 9458, 105335, 106696, 66383, 127173, 104028, 13177, 102159, 34171, 66383, 39926, 106116, 17792, 30512, 119883, 32149, 122101, 101523, 227, 48634, 20230, 104721, 105262, 115789, 125545, 113637, 22656, 77181, 106116, 49792, 101908, 126130, 108044, 58942, 78434, 9174, 47774, 109481, 94, 101129, 113797, 65743, 10110, 33334, 32149, 36785, 220, 28713, 123772, 23954, 5162, 15, 8107, 102765, 101701, 72099, 21990, 123606, 1811, 113116, 70626, 103242, 5486, 19967, 46729, 1811, 111344, 102667, 122411, 34048, 115981, 48864, 70626, 16325, 56906, 5486, 108931, 102667, 126784, 34048, 124305, 5486, 42016, 102667, 94923, 126250, 102473, 20230, 123532, 30926, 112990, 107173, 20230, 5486, 108931, 103242, 109519, 113587, 94923, 5486, 108931, 102697, 80195, 107907, 59563, 122412, 104309, 16556, 110482, 111108, 26854, 111681, 104482, 30512, 108623, 107800, 105268, 30046, 121254, 50834, 40862, 30297, 1811, 112599, 5486, 106344, 101129, 107167, 122842, 94923, 101544, 1811, 102433, 127298, 104378, 120690, 14167, 100, 99397, 1811, 44620, 103926, 100815, 108502, 104698, 36761, 44620, 18904, 111098, 34171, 103926, 100815, 108502, 104698, 36761, 44620, 103926, 100815, 108502, 104698, 16144, 101545, 44309, 36761, 44620, 102625, 20230, 57237, 30369, 103429, 121359, 71689, 5486, 101426, 17161, 61337, 17039, 102181, 65459, 44620, 111817, 102472, 16556, 78183, 117295, 103926, 100815, 108502, 104698, 63091, 17620, 30512, 53283, 31431, 5486, 106515, 72342, 108176, 124122, 44971, 26269, 22398, 16073, 121359, 101426, 17161, 61337, 65459, 44620, 103926, 100815, 39880, 107420, 113335, 121359, 64936, 101701, 102647, 102181, 65459, 44620, 102404, 104067, 108502, 104698, 19732, 127173, 100604, 16556, 121359, 111663, 113786, 63105, 236, 17039, 102181, 65459, 44620, 103760, 102677, 103429, 36761, 44620, 104503, 102677, 103429, 121359, 71689, 5486, 89154, 125540, 17039, 102181, 7705, 104309, 102700, 102181, 43240, 9039, 1811, 31809, 17925, 254, 53229, 115160, 16144, 99695, 100560, 235, 103202, 16556, 31809, 108323, 46729, 103306, 32977, 112415, 103792, 9174, 47774, 115718, 22656, 108870, 45829, 10110, 17129, 59739, 32977, 19732, 127334, 64121, 22957, 23954, 4468, 21, 8107, 116622, 102697, 21990, 123606, 1811, 116622, 117813, 103991, 102667, 58666, 103991, 48864, 70626, 124305, 101275, 1811, 2550, 23, 8107, 5486, 102667, 19000, 48864, 126867, 123488, 46729, 68408, 91482, 109496, 1811, 123488, 122202, 116044, 16144, 89046, 107121, 71289, 103350, 87177, 39276, 19, 47260, 68759, 104309, 16556, 76706, 109526, 235, 21105, 97, 59739, 5486, 109177, 106759, 20230, 101662, 38144, 109115, 45826, 106, 115924, 26854, 33014, 111186, 30512, 31958, 30369, 47884, 110240, 102334, 47260, 101198, 48552, 76739, 26269, 64810, 25197, 32977, 116043, 116882, 1811, 102700, 102181, 20230, 44620, 109177, 106759, 101662, 43514, 121359, 122740, 122744, 61337, 65459, 44620, 109177, 106759, 22957, 100204, 117063, 122013, 121359, 112303, 102181, 102064, 7705, 104309, 107407, 1811, 16, 71208, 16, 58850, 16144, 103760, 106759, 9174, 106344, 101129, 113797, 65743, 96555, 110423, 23951, 115718, 22656, 108870, 45829, 96555, 123488, 128001, 128000, 14711, 106982, 125041, 22398, 106613, 111587, 48864, 30046, 20230, 104655, 47884, 47260, 42634, 96452, 54656, 235, 10110, 17905, 23954, 17039, 25287, 47260, 42634, 96452, 65299, 106696, 117718, 99750, 108208, 26955, 94, 27384, 15682, 102616, 106613, 111587, 20230, 27384, 112495, 99959, 126989, 30512, 32977, 127567, 56051, 1811, 68759, 125041, 22398, 106613, 111587, 48864, 112919, 9554, 75267, 110401, 119219, 9458, 101365, 106618, 101701, 102667, 116891, 15682, 13177, 47260, 42634, 96452, 54656, 235, 16556, 17792, 104680, 15682, 59614, 101860, 15024, 32977, 107691, 78183, 103470, 38144, 57980, 16995, 102944, 29295, 121771, 98369, 101182, 106592, 53283, 100472, 66383, 95604, 124845, 13177, 47260, 42634, 96452, 54656, 235, 16556, 103087, 22656, 121930, 15682, 13079, 108, 56906, 54926, 66383, 87177, 17663, 1811, 9554, 75267, 105514, 20230, 50520, 111, 102800, 114667, 30512, 104655, 102334, 1811, 11144, 104655, 50834, 46034, 15682, 106613, 111587, 118192, 101198, 39880, 104817, 43167, 34048, 9458, 50211, 102212, 116254, 15120, 112479, 90581, 90581, 17039, 25287, 47260, 42634, 96452, 15682, 5486, 106222, 19732, 106613, 111587, 20230, 27384, 112495, 117375, 30512, 58318, 107290, 61689, 1811, 68759, 125041, 22398, 106613, 111587, 48864, 112919, 80195, 75267, 55031, 5486, 47260, 42634, 96452, 54656, 235, 30512, 67645, 119775, 91774, 33541, 32149, 9174, 109880, 9554, 75267, 110401, 119219, 98369, 80019, 25287, 47260, 42634, 96452, 16144, 99750, 108208, 26955, 94, 27384, 16144, 117375, 15682, 5486, 112294, 16995, 110229, 20230, 15024, 78183, 108385, 72342, 125001, 47884, 83799, 117084, 61689, 1811, 37656, 106045, 25132, 229, 11883, 105755, 66776, 37656, 106045, 25132, 229, 11883, 110745, 114435, 105755, 16325, 31809, 9458, 110260, 104398, 114435, 1811, 122270, 115320, 102456, 71289, 114181, 101426, 123160, 125175, 106518, 101275, 15682, 111482, 16144, 81258, 101275, 57106, 96455, 29295, 45736, 47884, 5486, 113702, 103306, 5486, 107430, 30512, 21388, 100472, 31431, 110226, 17701, 29295, 114485, 100472, 31431, 54926, 111482, 29295, 43240, 47884, 20834, 30369, 100909, 115717, 79721, 9174, 90581, 90581, 58426, 16325, 16556, 5486, 35083, 104364, 29295, 26955, 94, 27384, 127145, 9174, 109880, 32938, 50928, 16144, 35083, 104364, 15682, 5486, 60358, 8107, 5486, 101860, 104043, 109606, 117084, 50834, 79721, 29295, 5486, 47260, 42634, 96452, 29295, 122270, 104862, 16995, 76537, 43514, 119707, 76622, 79721, 1811, 66776, 37656, 106045, 25132, 229, 11883, 71289, 16325, 31809, 9458, 110260, 104398, 114435, 119775, 5486, 108936, 20230, 32938, 50928, 16144, 103167, 16995, 17792, 20230, 117375, 29295, 104195, 47884, 82317, 104127, 61689, 9174, 14711, 109517, 115, 78183, 103470, 100481, 16995, 102944, 29295, 121771, 98369, 101182, 198, 90581, 90581, 122270, 5486, 35083, 104364, 29295, 124108, 33208, 103792, 101427, 122, 70141, 115991, 107515, 32149, 9174, 109880, 85701, 15682, 27384, 112495, 109606, 38641, 1811, 66378, 20230, 61826, 103130, 29504, 77181, 5486, 35083, 104364, 16144, 124108, 33208, 29295, 104195, 17129, 103836, 104466, 91763, 61689, 1811, 123532, 37507, 16144, 105509, 13870, 223, 115287, 122013, 5486, 119208, 5486, 98915, 17792, 123160, 59739, 105722, 31431, 29295, 33671, 30537, 20230, 21388, 123671, 5486, 121568, 121930, 29295, 108936, 33208, 56051, 118733, 5486, 32938, 50928, 107118, 102159, 107707, 106556, 111848, 102944, 36785, 102677, 95001, 112603, 114181, 29295, 108285, 29295, 31431, 79721, 1811, 2550, 15, 112425, 23897, 104989, 15682, 121453, 111764, 121930, 29295, 51330, 95001, 112603, 114181, 19732, 102971, 102802, 59739, 50834, 79721, 9174, 53900, 5486, 61826, 103130, 29504, 15682, 48915, 29504, 111363, 49792, 75267, 60634, 108436, 104309, 16556, 117409, 106613, 111587, 29295, 35894, 113312, 33208, 15024, 5486, 117409, 16144, 16995, 78183, 90578, 51330, 77219, 15682, 19361, 42506, 77219, 38641, 9174, 108618, 31431, 1041, 15, 88435, 10110, 37087, 17161, 11739, 21, 88435, 23954, 106613, 111587, 118192, 101198, 39880, 104817, 43167, 34048, 128001, 128000, 127880, 13372, 15682, 96452, 118804, 11972, 38641, 107637, 102158, 16556, 13177, 96452, 16073, 10646, 15682, 13177, 71208, 10646, 45631, 52591, 11972, 10646, 15682, 13177, 118726, 66383, 95604, 115552, 38641, 111279, 71869, 15682, 58426, 118726, 117282, 101200, 101662, 59739, 109078, 117255, 16144, 45918, 243, 21990, 30512, 103192, 104127, 16995, 79721, 107384, 117255, 29295, 21990, 17129, 103468, 16144, 119627, 220, 77693, 72661, 13177, 96452, 118804, 11972, 66383, 62205, 122382, 102204, 79721, 198, 92193, 23954, 122571, 3753, 20, 116033, 21990, 123606, 79721, 107637, 29295, 122485, 42891, 45829, 113495, 30512, 125053, 54926, 220, 60596, 8107, 25580, 38641, 76771, 223, 29295, 21990, 17129, 103468, 74245, 123090, 105416, 24186, 16144, 107734, 114754, 125338, 37507, 38144, 105120, 235, 20230, 16937, 100525, 232, 46034, 103991, 123410, 101200, 51609, 100204, 79721, 104849, 244, 104503, 15682, 107734, 17792, 20230, 118013, 70141, 121867, 79721, 54597, 104, 23018, 45829, 20230, 122013, 16144, 13372, 30512, 108864, 247, 29295, 72342, 28713, 102518, 55031, 38641, 127541, 91077, 106181, 94, 106759, 15682, 25963, 17792, 30832, 117255, 84844, 30512, 107090, 223, 59739, 105908, 110008, 84389, 79721, 29295, 220, 44597, 8107, 75293, 28713, 103646, 17905, 20230, 110758, 40265, 26854, 15581, 108, 35330, 30512, 124237, 78183, 84389, 79721, 198, 86127, 19732, 108416, 29295, 13153, 101544, 54926, 16325, 16556, 113228, 116310, 15682, 122485, 42891, 121240, 118006, 122416, 16556, 56051, 76771, 223, 102052, 114354, 98, 16144, 125641, 122291, 16144, 30512, 106198, 248, 107290, 61689, 53606, 253, 29295, 102334, 55031, 38641, 112498, 84844, 29295, 25963, 17792, 107991, 118733, 111279, 71869, 29295, 119630, 32149, 109161, 16995, 30926, 126198, 105933, 116499, 121256, 85997, 39177, 15682, 220, 58426, 21555, 98, 71289, 108789, 16144, 99750, 112854, 29295, 220, 116414, 55031, 45951, 121, 21990, 105262, 104865, 10447, 244, 239, 99397, 20230, 91763, 107462, 105823, 104127, 56051, 198, 20713, 8107, 103268, 25580, 76771, 223, 20230, 103983, 45829, 29295, 45918, 243, 21990, 121256, 220, 122582, 220, 85701, 103296, 124911, 21990, 16556, 83639, 45736, 16144, 106084, 30926, 16556, 56051, 105120, 235, 106759, 108176, 30926, 16556, 63091, 17620, 116907, 117255, 84844, 113146, 30512, 17663, 42891, 107277, 108010, 100472, 91774, 24273, 16556, 106198, 233, 110071, 101200, 115717, 107637, 113245, 127032, 113146, 16144, 61304, 125534, 29295, 18049, 230, 64121, 29295, 58942, 76947, 124284, 16144, 38641, 104102, 236, 86436, 966, 8107, 56965, 76771, 223, 16144, 122013, 15682, 112073, 112498, 84844, 114792, 59739, 110115, 114662, 102697, 20230, 110008, 31540, 30512, 102782, 109311, 72342, 101832, 81219, 26854, 31431, 105823, 104127, 56051, 101961, 17792, 42891, 45829, 113495, 16144, 17297, 16556, 59363, 105898, 17792, 104067, 125030, 76947, 220, 122582, 220, 67645, 103171, 102944, 26854, 104865, 106046, 16995, 79721, 198, 110924, 16556, 220, 58426, 45923, 123283, 39850, 114483, 102540, 30512, 118199, 19967, 54926, 30926, 20230, 121256, 105729, 114483, 91482, 109496, 126198, 107707, 20713, 17792, 20230, 76771, 223, 16144, 104604, 31938, 115, 16144, 101634, 16144, 109657, 25827, 121441, 37087, 102351, 30512, 121619, 31431, 109415, 28713, 103129, 106518, 104599, 125001, 79721, 76771, 223, 32977, 58426, 20713, 17792, 38641, 105729, 114483, 91482, 109496, 117824, 100472, 40265, 39177, 66297, 120, 58850, 15682, 220, 5833, 97049, 16556, 56051, 76771, 223, 15682, 108895, 112006, 50834, 79721, 45631, 85701, 103296, 119630, 107707, 109657, 25827, 121441, 30512, 108167, 109415, 28713, 32149, 106198, 248, 107290, 61689, 32149, 91006, 66297, 120, 58850, 15682, 59757, 101310, 102, 16144, 9039, 15682, 106198, 248, 58942, 100481, 105823, 104127, 56051, 66297, 120, 58850, 29295, 58426, 31640, 78183, 112586, 102158, 100472, 104468, 63091, 17620, 29295, 23039, 100472, 60596, 32307, 14558, 16144, 104195, 44416, 45144, 243, 118480, 71289, 87109, 100525, 232, 46034, 103991, 16144, 118733, 56051, 66297, 120, 58850, 29295, 112844, 102052, 113040, 108881, 120066, 232, 101310, 254, 74482, 23538, 16144, 118480, 116581, 15682, 112606, 243, 118480, 120837, 59363, 50834, 109337, 102802, 30369, 105879, 220, 106518, 17129, 103468, 123090, 121882, 118, 56051, 115789, 105693, 102131, 38641, 220, 77693, 117824, 30297, 39177, 63091, 17620, 16144, 46034, 29295, 220, 67645, 103171, 20230, 110441, 107800, 32149, 30512, 66297, 120, 58850, 15682, 112854, 58942, 101732, 16144, 38641, 198, 77693, 30512, 104655, 102532, 78507, 251, 107666, 114475, 76622, 79721, 40003, 254, 55723, 114835, 20230, 100815, 46034, 56051, 39177 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 102800, 127749, 20230, 74245, 28190, 116216, 61689, 1811, 43240, 119064, 114435, 16556, 104157, 103882, 102571, 101275, 107328, 55031, 57933, 125596, 39880, 125916, 30512, 96412, 104004, 17039, 101275, 107328, 111363, 74843, 17701, 30512, 54872, 52084, 116216, 61689, 29295, 112160, 34048, 30512, 21418, 102532, 27384, 46034, 114435, 16556, 101275, 107328, 122489, 20230, 33420, 110993, 9554, 38641, 1811, 17129, 25827, 109337, 103181, 82533, 50667, 121801, 116876, 22324, 16144, 88356, 109337, 101544, 71289, 47260, 42634, 96452, 99750, 108208, 30046, 9039, 16144, 45736, 82533, 109709, 29295, 106307, 126145, 5486, 102208, 61337, 16144, 119962, 72516, 99695, 61398, 29295, 21601, 95399, 15024, 5486, 25132, 229, 11883, 71289, 18655, 73686, 61826, 104309, 111363, 117375, 29295, 108285, 16995, 119318, 116310, 16556, 82317, 104369, 105908, 103435, 116, 104611, 116216, 61689, 9174, 16, 9080, 32977, 103856, 47884, 115320, 64121, 117434, 123160, 71005, 109519, 117434, 16144, 122401, 9458, 105005, 104736, 29295, 103130, 64121, 108948, 72516, 110366, 32977, 107740, 54926, 110366, 32977, 127408, 16144, 43568, 16995, 101083, 107809, 29295, 37507, 38144, 102717, 102800, 38641, 9174, 8306, 77181, 33563, 117126, 16144, 100909, 121142, 103470, 5486, 113614, 106613, 112167, 71289, 103826, 104680, 26854, 108134, 104908, 117824, 76947, 17129, 16995, 31431, 33541, 6447, 47260, 42634, 96452, 54656, 235, 121711, 13177, 102741, 38248, 115, 68581, 33710, 103857, 105335, 107446, 117503, 113146, 119627, 5486, 8306, 19732, 33334, 65854, 103826, 16144, 64209, 15682, 13177, 101335, 38248, 121, 38248, 115, 68581, 33710, 103857, 105335, 107446, 10646, 38641, 32351, 85701, 55031, 32977, 104405, 108422, 57980, 85791, 106624, 33334, 124730, 78434, 9468, 234, 119, 198, 51330, 77219, 111363, 90178, 15682, 124897, 1811, 128001, 128000, 125821, 105465, 20230, 17792, 19732, 59739, 105722, 30369, 124122, 107461, 52414, 198, 17039, 102181, 114971, 116011, 82420, 1958, 32307, 34048, 72404, 5486, 75293, 103192, 16144, 123488, 33208, 30537, 17, 119375, 106609, 113116, 70626, 103242, 29295, 100927, 105262, 5486, 34171, 35083, 16144, 115598, 31431, 30512, 13177, 102159, 34171, 10646, 20230, 104721, 58942, 5486, 123726, 126172, 30813, 30512, 96356, 107294, 105784, 112258, 113, 107118, 103794, 198, 26854, 112371, 114387, 20230, 106984, 231, 161, 57923, 39926, 114732, 104865, 95532, 26854, 112371, 114387, 20230, 21388, 113529, 29295, 119467, 16995, 104865, 95532, 26854, 112371, 27384, 30926, 26854, 17792, 30512, 123927, 18904, 39926, 114732, 104865, 95532, 14382, 58426, 123726, 109669, 33503, 30813, 71289, 101128, 102, 64121, 5486, 127408, 16144, 124858, 102052, 13177, 80805, 38248, 121, 96452, 37823, 103906, 108502, 104698, 10646, 107407, 105908, 78183, 126469, 50834, 79721, 1811, 37656, 102800, 53283, 109375, 30512, 50928, 38144, 5486, 117271, 16144, 106548, 24273, 30512, 53283, 30369, 118733, 13177, 108502, 104698, 10646, 15682, 13177, 80805, 38248, 121, 96452, 37823, 103906, 9458, 105335, 106696, 66383, 127173, 104028, 13177, 102159, 34171, 66383, 39926, 106116, 17792, 30512, 119883, 32149, 122101, 101523, 227, 48634, 20230, 104721, 105262, 115789, 125545, 113637, 22656, 77181, 106116, 49792, 101908, 126130, 108044, 58942, 78434, 9174, 47774, 109481, 94, 101129, 113797, 65743, 10110, 33334, 32149, 36785, 220, 28713, 123772, 23954, 5162, 15, 8107, 102765, 101701, 72099, 21990, 123606, 1811, 113116, 70626, 103242, 5486, 19967, 46729, 1811, 111344, 102667, 122411, 34048, 115981, 48864, 70626, 16325, 56906, 5486, 108931, 102667, 126784, 34048, 124305, 5486, 42016, 102667, 94923, 126250, 102473, 20230, 123532, 30926, 112990, 107173, 20230, 5486, 108931, 103242, 109519, 113587, 94923, 5486, 108931, 102697, 80195, 107907, 59563, 122412, 104309, 16556, 110482, 111108, 26854, 111681, 104482, 30512, 108623, 107800, 105268, 30046, 121254, 50834, 40862, 30297, 1811, 112599, 5486, 106344, 101129, 107167, 122842, 94923, 101544, 1811, 102433, 127298, 104378, 120690, 14167, 100, 99397, 1811, 44620, 103926, 100815, 108502, 104698, 36761, 44620, 18904, 111098, 34171, 103926, 100815, 108502, 104698, 36761, 44620, 103926, 100815, 108502, 104698, 16144, 101545, 44309, 36761, 44620, 102625, 20230, 57237, 30369, 103429, 121359, 71689, 5486, 101426, 17161, 61337, 17039, 102181, 65459, 44620, 111817, 102472, 16556, 78183, 117295, 103926, 100815, 108502, 104698, 63091, 17620, 30512, 53283, 31431, 5486, 106515, 72342, 108176, 124122, 44971, 26269, 22398, 16073, 121359, 101426, 17161, 61337, 65459, 44620, 103926, 100815, 39880, 107420, 113335, 121359, 64936, 101701, 102647, 102181, 65459, 44620, 102404, 104067, 108502, 104698, 19732, 127173, 100604, 16556, 121359, 111663, 113786, 63105, 236, 17039, 102181, 65459, 44620, 103760, 102677, 103429, 36761, 44620, 104503, 102677, 103429, 121359, 71689, 5486, 89154, 125540, 17039, 102181, 7705, 104309, 102700, 102181, 43240, 9039, 1811, 31809, 17925, 254, 53229, 115160, 16144, 99695, 100560, 235, 103202, 16556, 31809, 108323, 46729, 103306, 32977, 112415, 103792, 9174, 47774, 115718, 22656, 108870, 45829, 10110, 17129, 59739, 32977, 19732, 127334, 64121, 22957, 23954, 4468, 21, 8107, 116622, 102697, 21990, 123606, 1811, 116622, 117813, 103991, 102667, 58666, 103991, 48864, 70626, 124305, 101275, 1811, 2550, 23, 8107, 5486, 102667, 19000, 48864, 126867, 123488, 46729, 68408, 91482, 109496, 1811, 123488, 122202, 116044, 16144, 89046, 107121, 71289, 103350, 87177, 39276, 19, 47260, 68759, 104309, 16556, 76706, 109526, 235, 21105, 97, 59739, 5486, 109177, 106759, 20230, 101662, 38144, 109115, 45826, 106, 115924, 26854, 33014, 111186, 30512, 31958, 30369, 47884, 110240, 102334, 47260, 101198, 48552, 76739, 26269, 64810, 25197, 32977, 116043, 116882, 1811, 102700, 102181, 20230, 44620, 109177, 106759, 101662, 43514, 121359, 122740, 122744, 61337, 65459, 44620, 109177, 106759, 22957, 100204, 117063, 122013, 121359, 112303, 102181, 102064, 7705, 104309, 107407, 1811, 16, 71208, 16, 58850, 16144, 103760, 106759, 9174, 106344, 101129, 113797, 65743, 96555, 110423, 23951, 115718, 22656, 108870, 45829, 96555, 123488, 128001, 128000, 14711, 106982, 125041, 22398, 106613, 111587, 48864, 30046, 20230, 104655, 47884, 47260, 42634, 96452, 54656, 235, 10110, 17905, 23954, 17039, 25287, 47260, 42634, 96452, 65299, 106696, 117718, 99750, 108208, 26955, 94, 27384, 15682, 102616, 106613, 111587, 20230, 27384, 112495, 99959, 126989, 30512, 32977, 127567, 56051, 1811, 68759, 125041, 22398, 106613, 111587, 48864, 112919, 9554, 75267, 110401, 119219, 9458, 101365, 106618, 101701, 102667, 116891, 15682, 13177, 47260, 42634, 96452, 54656, 235, 16556, 17792, 104680, 15682, 59614, 101860, 15024, 32977, 107691, 78183, 103470, 38144, 57980, 16995, 102944, 29295, 121771, 98369, 101182, 106592, 53283, 100472, 66383, 95604, 124845, 13177, 47260, 42634, 96452, 54656, 235, 16556, 103087, 22656, 121930, 15682, 13079, 108, 56906, 54926, 66383, 87177, 17663, 1811, 9554, 75267, 105514, 20230, 50520, 111, 102800, 114667, 30512, 104655, 102334, 1811, 11144, 104655, 50834, 46034, 15682, 106613, 111587, 118192, 101198, 39880, 104817, 43167, 34048, 9458, 50211, 102212, 116254, 15120, 112479, 90581, 90581, 17039, 25287, 47260, 42634, 96452, 15682, 5486, 106222, 19732, 106613, 111587, 20230, 27384, 112495, 117375, 30512, 58318, 107290, 61689, 1811, 68759, 125041, 22398, 106613, 111587, 48864, 112919, 80195, 75267, 55031, 5486, 47260, 42634, 96452, 54656, 235, 30512, 67645, 119775, 91774, 33541, 32149, 9174, 109880, 9554, 75267, 110401, 119219, 98369, 80019, 25287, 47260, 42634, 96452, 16144, 99750, 108208, 26955, 94, 27384, 16144, 117375, 15682, 5486, 112294, 16995, 110229, 20230, 15024, 78183, 108385, 72342, 125001, 47884, 83799, 117084, 61689, 1811, 37656, 106045, 25132, 229, 11883, 105755, 66776, 37656, 106045, 25132, 229, 11883, 110745, 114435, 105755, 16325, 31809, 9458, 110260, 104398, 114435, 1811, 122270, 115320, 102456, 71289, 114181, 101426, 123160, 125175, 106518, 101275, 15682, 111482, 16144, 81258, 101275, 57106, 96455, 29295, 45736, 47884, 5486, 113702, 103306, 5486, 107430, 30512, 21388, 100472, 31431, 110226, 17701, 29295, 114485, 100472, 31431, 54926, 111482, 29295, 43240, 47884, 20834, 30369, 100909, 115717, 79721, 9174, 90581, 90581, 58426, 16325, 16556, 5486, 35083, 104364, 29295, 26955, 94, 27384, 127145, 9174, 109880, 32938, 50928, 16144, 35083, 104364, 15682, 5486, 60358, 8107, 5486, 101860, 104043, 109606, 117084, 50834, 79721, 29295, 5486, 47260, 42634, 96452, 29295, 122270, 104862, 16995, 76537, 43514, 119707, 76622, 79721, 1811, 66776, 37656, 106045, 25132, 229, 11883, 71289, 16325, 31809, 9458, 110260, 104398, 114435, 119775, 5486, 108936, 20230, 32938, 50928, 16144, 103167, 16995, 17792, 20230, 117375, 29295, 104195, 47884, 82317, 104127, 61689, 9174, 14711, 109517, 115, 78183, 103470, 100481, 16995, 102944, 29295, 121771, 98369, 101182, 198, 90581, 90581, 122270, 5486, 35083, 104364, 29295, 124108, 33208, 103792, 101427, 122, 70141, 115991, 107515, 32149, 9174, 109880, 85701, 15682, 27384, 112495, 109606, 38641, 1811, 66378, 20230, 61826, 103130, 29504, 77181, 5486, 35083, 104364, 16144, 124108, 33208, 29295, 104195, 17129, 103836, 104466, 91763, 61689, 1811, 123532, 37507, 16144, 105509, 13870, 223, 115287, 122013, 5486, 119208, 5486, 98915, 17792, 123160, 59739, 105722, 31431, 29295, 33671, 30537, 20230, 21388, 123671, 5486, 121568, 121930, 29295, 108936, 33208, 56051, 118733, 5486, 32938, 50928, 107118, 102159, 107707, 106556, 111848, 102944, 36785, 102677, 95001, 112603, 114181, 29295, 108285, 29295, 31431, 79721, 1811, 2550, 15, 112425, 23897, 104989, 15682, 121453, 111764, 121930, 29295, 51330, 95001, 112603, 114181, 19732, 102971, 102802, 59739, 50834, 79721, 9174, 53900, 5486, 61826, 103130, 29504, 15682, 48915, 29504, 111363, 49792, 75267, 60634, 108436, 104309, 16556, 117409, 106613, 111587, 29295, 35894, 113312, 33208, 15024, 5486, 117409, 16144, 16995, 78183, 90578, 51330, 77219, 15682, 19361, 42506, 77219, 38641, 9174, 108618, 31431, 1041, 15, 88435, 10110, 37087, 17161, 11739, 21, 88435, 23954, 106613, 111587, 118192, 101198, 39880, 104817, 43167, 34048, 128001, 128000, 127880, 13372, 15682, 96452, 118804, 11972, 38641, 107637, 102158, 16556, 13177, 96452, 16073, 10646, 15682, 13177, 71208, 10646, 45631, 52591, 11972, 10646, 15682, 13177, 118726, 66383, 95604, 115552, 38641, 111279, 71869, 15682, 58426, 118726, 117282, 101200, 101662, 59739, 109078, 117255, 16144, 45918, 243, 21990, 30512, 103192, 104127, 16995, 79721, 107384, 117255, 29295, 21990, 17129, 103468, 16144, 119627, 220, 77693, 72661, 13177, 96452, 118804, 11972, 66383, 62205, 122382, 102204, 79721, 198, 92193, 23954, 122571, 3753, 20, 116033, 21990, 123606, 79721, 107637, 29295, 122485, 42891, 45829, 113495, 30512, 125053, 54926, 220, 60596, 8107, 25580, 38641, 76771, 223, 29295, 21990, 17129, 103468, 74245, 123090, 105416, 24186, 16144, 107734, 114754, 125338, 37507, 38144, 105120, 235, 20230, 16937, 100525, 232, 46034, 103991, 123410, 101200, 51609, 100204, 79721, 104849, 244, 104503, 15682, 107734, 17792, 20230, 118013, 70141, 121867, 79721, 54597, 104, 23018, 45829, 20230, 122013, 16144, 13372, 30512, 108864, 247, 29295, 72342, 28713, 102518, 55031, 38641, 127541, 91077, 106181, 94, 106759, 15682, 25963, 17792, 30832, 117255, 84844, 30512, 107090, 223, 59739, 105908, 110008, 84389, 79721, 29295, 220, 44597, 8107, 75293, 28713, 103646, 17905, 20230, 110758, 40265, 26854, 15581, 108, 35330, 30512, 124237, 78183, 84389, 79721, 198, 86127, 19732, 108416, 29295, 13153, 101544, 54926, 16325, 16556, 113228, 116310, 15682, 122485, 42891, 121240, 118006, 122416, 16556, 56051, 76771, 223, 102052, 114354, 98, 16144, 125641, 122291, 16144, 30512, 106198, 248, 107290, 61689, 53606, 253, 29295, 102334, 55031, 38641, 112498, 84844, 29295, 25963, 17792, 107991, 118733, 111279, 71869, 29295, 119630, 32149, 109161, 16995, 30926, 126198, 105933, 116499, 121256, 85997, 39177, 15682, 220, 58426, 21555, 98, 71289, 108789, 16144, 99750, 112854, 29295, 220, 116414, 55031, 45951, 121, 21990, 105262, 104865, 10447, 244, 239, 99397, 20230, 91763, 107462, 105823, 104127, 56051, 198, 20713, 8107, 103268, 25580, 76771, 223, 20230, 103983, 45829, 29295, 45918, 243, 21990, 121256, 220, 122582, 220, 85701, 103296, 124911, 21990, 16556, 83639, 45736, 16144, 106084, 30926, 16556, 56051, 105120, 235, 106759, 108176, 30926, 16556, 63091, 17620, 116907, 117255, 84844, 113146, 30512, 17663, 42891, 107277, 108010, 100472, 91774, 24273, 16556, 106198, 233, 110071, 101200, 115717, 107637, 113245, 127032, 113146, 16144, 61304, 125534, 29295, 18049, 230, 64121, 29295, 58942, 76947, 124284, 16144, 38641, 104102, 236, 86436, 966, 8107, 56965, 76771, 223, 16144, 122013, 15682, 112073, 112498, 84844, 114792, 59739, 110115, 114662, 102697, 20230, 110008, 31540, 30512, 102782, 109311, 72342, 101832, 81219, 26854, 31431, 105823, 104127, 56051, 101961, 17792, 42891, 45829, 113495, 16144, 17297, 16556, 59363, 105898, 17792, 104067, 125030, 76947, 220, 122582, 220, 67645, 103171, 102944, 26854, 104865, 106046, 16995, 79721, 198, 110924, 16556, 220, 58426, 45923, 123283, 39850, 114483, 102540, 30512, 118199, 19967, 54926, 30926, 20230, 121256, 105729, 114483, 91482, 109496, 126198, 107707, 20713, 17792, 20230, 76771, 223, 16144, 104604, 31938, 115, 16144, 101634, 16144, 109657, 25827, 121441, 37087, 102351, 30512, 121619, 31431, 109415, 28713, 103129, 106518, 104599, 125001, 79721, 76771, 223, 32977, 58426, 20713, 17792, 38641, 105729, 114483, 91482, 109496, 117824, 100472, 40265, 39177, 66297, 120, 58850, 15682, 220, 5833, 97049, 16556, 56051, 76771, 223, 15682, 108895, 112006, 50834, 79721, 45631, 85701, 103296, 119630, 107707, 109657, 25827, 121441, 30512, 108167, 109415, 28713, 32149, 106198, 248, 107290, 61689, 32149, 91006, 66297, 120, 58850, 15682, 59757, 101310, 102, 16144, 9039, 15682, 106198, 248, 58942, 100481, 105823, 104127, 56051, 66297, 120, 58850, 29295, 58426, 31640, 78183, 112586, 102158, 100472, 104468, 63091, 17620, 29295, 23039, 100472, 60596, 32307, 14558, 16144, 104195, 44416, 45144, 243, 118480, 71289, 87109, 100525, 232, 46034, 103991, 16144, 118733, 56051, 66297, 120, 58850, 29295, 112844, 102052, 113040, 108881, 120066, 232, 101310, 254, 74482, 23538, 16144, 118480, 116581, 15682, 112606, 243, 118480, 120837, 59363, 50834, 109337, 102802, 30369, 105879, 220, 106518, 17129, 103468, 123090, 121882, 118, 56051, 115789, 105693, 102131, 38641, 220, 77693, 117824, 30297, 39177, 63091, 17620, 16144, 46034, 29295, 220, 67645, 103171, 20230, 110441, 107800, 32149, 30512, 66297, 120, 58850, 15682, 112854, 58942, 101732, 16144, 38641, 198, 77693, 30512, 104655, 102532, 78507, 251, 107666, 114475, 76622, 79721, 40003, 254, 55723, 114835, 20230, 100815, 46034, 56051, 39177 ]
[ 220, 58426, 120366, 30512, 21601, 104698, 30046, 19732, 101307, 104698, 112919, 67621, 246, 116254, 26854, 71634, 111672, 11972, 20230, 119607, 106046, 107462, 79721, 114662, 105226, 30512, 103350, 23039, 56051, 17792, 104680, 19732, 220, 58426, 117375, 16144, 17297, 16556, 59363, 105898, 17792, 104680, 16144, 87177, 38641, 220, 80673, 76771, 223, 29295, 30832, 20230, 56051, 102944, 15682, 104102, 243, 107462, 79721, 198, 103129, 106518, 104599, 111363, 105729, 114483, 91482, 109496, 29295, 105721, 78183, 100472, 39177, 66297, 120, 58850, 16144, 46729, 16144, 220, 101182, 15120, 64936, 20230, 95221, 109669, 50834, 79721, 220, 110924, 102052, 106181, 117, 104611, 20230, 19967, 109115, 106369, 46034, 105107, 16144, 110447, 29295, 107860, 122, 102204, 100481, 79721, 100844, 245, 102052, 77693, 108422, 33121, 126481, 25827, 121441, 16144, 117039, 29295, 109517, 120, 102204, 100481, 79721, 220, 77693, 120577, 110447, 15682, 66297, 120, 58850, 29295, 87109, 100525, 232, 71005, 109519, 16144, 46034, 103129, 76622, 126198, 122013, 55031, 121983, 124195, 105898, 102944, 16556, 56051, 66297, 120, 58850, 15682, 126699, 75694, 31431, 54926, 105933, 9039, 16144, 53606, 115, 44416, 45144, 243, 118480, 19732, 16937, 100525, 232, 46034, 103991, 30512, 104102, 236, 86436, 120650, 121118, 105879, 116564, 15682, 122013, 29295, 127032, 114792, 59739, 46034, 103129, 76622, 67016, 220, 21105, 103, 16995, 105272, 19732, 122984, 121256, 101961, 17792, 42891, 45829, 113495, 16144, 42579, 253, 23039, 20230, 112909, 110726, 56051, 102677, 63072, 107292, 103, 16144, 37689, 109375, 20230, 51043, 249, 17129, 115032, 19732, 66297, 120, 58850, 15682, 120267, 79721, 220, 80539, 111279, 71869, 29295, 127032, 114792, 59739, 109006, 103129, 76622, 123410, 30926, 16556, 104102, 236, 86436, 120650, 100472, 30926, 111363, 108789, 30512, 115799, 253, 107800, 33503, 19732, 112622, 107462, 79721, 66297, 120, 58850, 32977, 53900, 116056, 113495, 16144, 101890, 254, 17044, 110, 30046, 103195, 19732, 76771, 223, 102052, 108295, 121381, 31431, 17620, 107277, 79721, 108477, 108, 32977, 29295, 66297, 120, 58850, 20230, 108895, 120267, 79721, 113170, 112568, 16144, 103792, 30926, 15682, 107637, 29295, 123726, 108618, 30369, 103846, 102052, 37656, 106624, 109215, 26854, 30926, 26854, 105272, 19732, 220, 80539, 125525, 113009, 108519, 102800, 119150, 30926, 30512, 17663, 103854, 112495, 105272, 19732, 198, 51330, 39850, 26269, 64810, 78767, 29295, 220, 67645, 103171, 20230, 104195, 111101, 103351, 32149, 17620, 107277, 33541, 220, 122582, 76771, 223, 29295, 113261, 16995, 39177, 32977, 101860, 104043, 220, 110924, 33503, 126867, 36117, 95, 33121, 100481, 79721, 106982, 108981, 74396, 71289, 108613, 93488, 57326, 109388, 70626, 102181, 71289, 89154, 115332, 105352, 4996, 43002, 114601, 84389, 100481, 79721, 101961, 17792, 42891, 45829, 113495, 30512, 10414, 225, 105262, 126159, 80805, 102472, 108506, 29295, 76771, 223, 16144, 41642, 116310, 20230, 36117, 95, 33121, 101732, 16144, 38641, 198, 127012, 16937, 100525, 232, 46034, 103991, 30512, 120853, 33476, 54926, 30046, 15682, 220, 112073, 11589, 106, 115232, 107001, 119185, 198, 77693, 20230, 105068, 47884, 100909, 113115, 54926, 116196, 227, 15024, 32977, 36117, 95, 33121, 100481, 79721, 220, 58426, 39850, 26269, 64810, 78767, 29295, 102362, 104680, 20230, 27699, 116, 108950, 15024, 103188, 105557, 28713, 113009, 76771, 223, 15682, 108416, 29295, 107991, 30926, 29295, 114354, 98, 101860, 32149, 102800, 19732, 112391, 106272, 107399, 110, 100472, 16144, 38641, 198, 106384, 33710, 91062, 20230, 110226, 109013, 17792, 104067, 101961, 17792, 122485, 19732, 30177, 15024, 66297, 120, 120577, 117145, 19732, 64209, 29295, 109425, 20230, 126159, 80805, 102472, 108506, 20230, 117375, 84389, 30297, 30369, 32149, 110834, 119064, 17792, 104680, 16144, 60632, 105576, 16144, 113009, 125820, 254, 17044, 110, 30512, 16906, 255, 78183, 100604, 120208, 29295, 70472, 99849, 20230, 123296, 109161, 16556, 116292, 108740, 109904, 102944, 20230, 119487, 119, 100204, 103302, 102639, 102204, 30297, 30369, 32149, 17620, 102518, 16144, 38641, 198, 51330, 105933, 30926, 29295, 72718, 50834, 100934, 104468, 107637, 103378, 77181, 124897, 126159, 80805, 102472, 108506, 29295, 48706, 21105, 103, 16995, 29504, 104309, 105416, 79059, 17905, 220, 116414, 105352, 124897, 107637, 105755, 125821, 90962, 107610, 16073, 16556, 63091, 68171, 26854, 29504, 103195, 116497, 16144, 106222, 77181, 126159, 80805, 102472, 108506, 29295, 67645, 103171, 102944, 32149, 30512, 104736, 109375, 54926, 30926, 29295, 18049, 222, 15024, 85791, 111108, 106624, 109020, 32149, 110241, 33121, 107515, 115538, 72369, 61398, 78943, 45893, 5486, 111926, 16144, 47260, 68759, 38248, 115, 68581, 33710, 114662, 71005, 107391, 16073, 99695, 107060, 220, 80539, 328, 2507, 102083, 100472, 119630, 95221, 103470, 91774, 32149, 105784, 102944, 107809, 20230, 220, 122582, 119100, 126559, 16144, 38641, 119041, 109375, 29295, 123207, 220, 122582, 76771, 223, 104067, 16144, 113727, 30512, 104721, 107290, 103801, 61689, 220, 67645, 16144, 106222, 32977, 126159, 80805, 102472, 108506, 30512, 114794, 103350, 103306, 101682, 76622, 17701, 104028, 109688, 30297, 30813, 115991, 33541, 126159, 80805, 102472, 108506, 29295, 114794, 103350, 20230, 121619, 76947, 109913, 78183, 30369, 30926, 29295, 103470, 109020, 106222, 20230, 114794, 16144, 111764, 29295, 120824, 104028, 16144, 38641, 198, 97135, 16995, 79721, 128001, 128000, 14711, 119653, 21105, 241, 16995, 107707, 115924, 103359, 107277, 104028, 220, 58942, 11972, 15024, 11972, 33541, 28713, 11972, 32149, 11972, 67645, 98499, 50338, 25333, 1811, 104760, 105242, 16144, 107202, 46034, 26854, 101832, 22957, 15682, 99849, 29295, 103082, 126386, 104865, 198, 105298, 37087, 107277, 104028, 220, 58942, 11972, 15024, 11972, 33541, 28713, 11972, 32149, 11972, 67645, 5486, 16144, 41758, 110494, 117859, 112984, 16144, 116229, 5486, 126194, 95221, 69978, 30512, 107691, 30297, 120266, 108048, 29295, 88367, 16556, 102936, 19732, 103646, 16144, 111769, 32149, 1811, 126362, 29295, 106084, 104533, 78244, 114598, 120953, 120837, 33334, 35330, 30512, 108703, 31431, 106956, 24273, 20230, 107734, 32938, 26854, 112973, 5486, 108703, 35330, 30512, 21105, 103, 47884, 38144, 15682, 105110, 100604, 115789, 1811, 106839, 17701, 84389, 79721, 55031, 5486, 92776, 9080, 106075, 103087, 123160, 107803, 20230, 116898, 75694, 19732, 112844, 110018, 16144, 113009, 120273, 103664, 30512, 102782, 15024, 104526, 104127, 33334, 126145, 1811, 35330, 60632, 29295, 33035, 110104, 115924, 103359, 107277, 104028, 220, 58942, 11972, 15024, 11972, 33541, 28713, 11972, 32149, 11972, 67645, 71289, 43568, 107430, 115847, 15682, 101182, 126465, 16144, 113009, 5486, 108703, 35330, 119703, 17792, 32977, 16995, 104533, 91763, 61689, 1811, 125175, 20230, 39880, 45923, 66953, 112900, 30512, 109337, 73597, 252, 107113, 31431, 5486, 105184, 103350, 16556, 33334, 35330, 16144, 110726, 15024, 108703, 31431, 123410, 125344, 22398, 113390, 118517, 107060, 15682, 108948, 107084, 104526, 31431, 30369, 19012, 110, 20379, 88631, 112028, 27479, 30512, 78698, 105262, 115789, 101182, 123253, 1811, 21105, 103, 16995, 105879, 112825, 110904, 107277, 107515, 29295, 114318, 111243, 110034, 107493, 104196, 122101, 35330, 109518, 77181, 5486, 106956, 102677, 114284, 114792, 59739, 104468, 115924, 103359, 107277, 104028, 220, 58942, 11972, 15024, 11972, 33541, 28713, 11972, 32149, 11972, 67645, 111769, 32149, 106046, 61689, 9174, 89151, 50021, 124629, 39926, 102532, 5486, 110101, 48552, 72661, 33334, 35330, 30512, 108703, 31431, 30369, 80356, 15682, 5486, 108008, 20230, 103424, 47884, 100604, 38641, 1811, 99959, 32131, 99959, 32131, 19732, 101908, 122924, 15682, 108010, 30297, 15024, 5486, 13870, 232, 104698, 15682, 16027, 10190, 30512, 5486, 115191, 77181, 102717, 109416, 108703, 31431, 30369, 109335, 43568, 22649, 38641, 1811, 102782, 15024, 104526, 102189, 33503, 58426, 117073, 117591, 20230, 108703, 35330, 29295, 30591, 76947, 115515, 114225, 33334, 35330, 30512, 108703, 31431, 106956, 39177, 15682, 5486, 16144, 41007, 15682, 33334, 35330, 113115, 54926, 117859, 112984, 19732, 108703, 17701, 61826, 16556, 122074, 84389, 33541, 1811, 105150, 106518, 71289, 88356, 46091, 16144, 115191, 104309, 113468, 5486, 115924, 103359, 107277, 104028, 220, 58942, 11972, 15024, 11972, 33541, 28713, 11972, 32149, 11972, 67645, 77181, 37026, 110362, 107898, 35330, 30512, 108703, 31431, 30369, 105908, 5486, 121410, 9953, 17, 11, 931, 35757, 117758, 1811, 51385, 87844, 16144, 117232, 29295, 106613, 38144, 81219, 109683, 19732, 110726, 35330, 101275, 30046, 15682, 33420, 105262, 103846, 5486, 114225, 107898, 35330, 30512, 108703, 31431, 30369, 30926, 29295, 5486, 116907, 16144, 43511, 61337, 119178, 86206, 103302, 101911, 9458, 73597, 252, 108446, 107407, 109807, 103846, 43240, 119064, 116537, 5486, 32977, 43514, 85791, 25827, 104196, 111587, 30512, 30250, 227, 117063, 106956, 59739, 123731, 104309, 37087, 47884, 100604, 107118, 5486, 110101, 48552, 16144, 102099, 105150, 106518, 29295, 119448, 16995, 19732, 103167, 115737, 31431, 33541, 1811, 110726, 35330, 101275, 30046, 15682, 20713, 46702, 39177, 23897, 104989, 15682, 33671, 16144, 9080, 117084, 114604, 31431, 5486, 104654, 16144, 21990, 82420, 30512, 121697, 101732, 114754, 102159, 114516, 106075, 103087, 103351, 29295, 108948, 35330, 30512, 108703, 31431, 30369, 105110, 116414, 29295, 104712, 1811, 104405, 120837, 33334, 35330, 29295, 109215, 26854, 39177, 5486, 103188, 86436, 20230, 102131, 16995, 100472, 109337, 73597, 252, 71289, 5486, 51385, 64209, 99750, 20230, 37507, 38144, 110726, 35330, 101275, 30046, 30512, 39926, 115364, 1811, 108703, 35330, 21105, 103, 47884, 111243, 127331, 33503, 109768, 105784, 115289, 122279, 103351, 105879, 5486, 106548, 37705, 15682, 114363, 101275, 36668, 122924, 72661, 16325, 96356, 15682, 5486, 105933, 109335, 111098, 107674, 118881, 29295, 104712, 123253, 1811, 105321, 110162, 39926, 33334, 35330, 30512, 108703, 31431, 30369, 41007, 103306, 15682, 5486, 114083, 38093, 72661, 33334, 35330, 30512, 108703, 31431, 30369, 41007, 15682, 5486, 115924, 103359, 107277, 104028, 220, 58942, 11972, 15024, 11972, 33541, 28713, 11972, 32149, 11972, 67645, 15682, 107391, 26269, 57207, 94550, 20230, 117859, 112984, 104309, 124108, 103646, 116245, 16556, 33655, 30297, 102944, 9174, 37026, 110362, 103664, 69253, 104309, 115991, 5486, 110726, 39926, 124089, 110229, 29295, 91774, 59739, 124403, 19732, 33334, 110482, 111331, 30591, 112568, 20230, 5486, 46239, 32977, 1114, 55038, 120264, 95475, 62004, 1811, 33420, 106382, 30046, 114734, 105110, 111926, 32977, 103309, 56965, 32977, 117859, 112984, 117824, 76947, 61689, 105879, 108149, 112568, 32977, 114387, 106613, 111186, 126198, 109335, 5486, 115924, 103359, 77195, 20230, 114146, 38144, 122225, 30512, 104721, 58942, 110071, 112973, 50338, 104662, 16144, 104712, 110229, 38641, 1811, 30926, 103350, 105110, 74090, 9080, 114166, 32977, 103309, 56965, 32977, 117859, 112984, 117824, 76947, 61689, 105879, 108048, 108680, 127181, 107118, 120953, 120837, 33334, 35330, 29295, 102717, 102800, 110018, 15682, 104405, 126693, 104712, 104865, 9174, 104405, 120837, 66953, 44971, 101511, 105994, 16556, 33334, 35330, 29295, 5486, 122013, 20230, 53283, 102204, 101860, 20230, 51385, 64209, 39926, 108703, 31431, 30369, 105908, 103082, 1811, 9458, 61633, 9458, 113293, 102781, 32938, 107001, 112772, 108948, 35330, 107898, 110482, 111331, 24273, 15682, 112371, 104328, 114734, 101513, 97518, 64121, 30512, 111800, 118219, 39926, 64121, 38144, 112987, 32149, 29295, 5486, 108703, 31431, 102204, 100604, 102677, 113334, 77181, 124897, 1811, 126513, 117475, 100604, 104865, 110241, 33121, 107515, 29295, 5486, 112185, 98915, 17792, 55031, 20713, 8107, 67016, 106613, 107462, 107515, 29295, 120953, 120837, 110589, 16325, 107898, 35330, 29295, 109215, 102083, 100472, 107803, 32977, 101182, 106046, 61689, 1811, 28542, 19000, 127303, 104984, 32335, 106649, 16556, 15120, 78244, 5486, 69978, 107462, 100481, 118544, 19732, 104655, 32149, 106824, 5486, 110526, 30512, 110794, 106956, 107391, 26269, 57207, 94550, 86614, 78183, 117295, 16144, 9174, 19732, 32307, 29295, 15120, 16144, 104983, 20230, 127933, 38144, 103470, 38144, 111587, 104004, 123253, 5486, 107420, 101198, 22398, 117758, 109606, 71289, 108048, 33503, 15682, 117475, 26854, 105879, 109954, 32149, 9174, 33334, 35330, 30512, 108703, 31431, 106956, 102677, 116537, 5486, 66378, 20230, 115924, 103359, 107277, 104028, 220, 58942, 11972, 15024, 11972, 33541, 28713, 11972, 32149, 11972, 67645, 29295, 43240, 47884, 38144, 48706, 5486, 109337, 73597, 252, 15682, 107391, 26269, 57207, 94550, 16144, 29857, 235, 119775, 115079, 58942, 100481, 9174, 51330, 107693, 77181, 105184, 103350, 107898, 35330, 30512, 108703, 31431, 106956, 24273, 16144, 113009, 5486, 108031, 117859, 112984, 16144, 126954, 126328, 5486, 115924, 103359, 107898, 35330, 30512, 108703, 31431, 110071, 32938, 15682, 116414, 1811, 37689, 109375, 103296, 74482, 17, 117073, 126513, 5486, 105047, 26854, 20834, 106382, 16556, 33334, 35330, 29295, 102780, 31431, 100604, 55031, 107391, 26269, 57207, 94550, 20230, 5486, 43568, 102147, 226, 72661, 108703, 31431, 110071, 104371, 47523, 29295, 100783, 102, 16995, 117475, 38144, 101182, 16144, 9174, 123218, 42634, 107060, 76947, 127091, 19732, 33334, 35330, 29295, 32149, 107277, 33541, 123794, 5486, 82973, 20230, 23530, 15682, 103963, 117943, 106978, 113096, 16144, 102782, 15024, 121697, 29295, 5486, 46729, 30512, 107691, 30297, 110162, 101918, 30512, 107691, 30297, 110162, 13828, 245, 111813, 15682, 103599, 16556, 9174, 122502, 16995, 126386, 55031, 127105, 108703, 31431, 106956, 105879, 109954, 29295, 5486, 108056, 19732, 2118, 110382, 15682, 108895, 95604, 72516, 38641, 2118, 19732, 102181, 102532, 30591, 76947, 5486, 41007, 103306, 15682, 119448, 47884, 17620, 107441, 41920, 59739, 57903, 33541, 9174, 14711, 114354, 98, 119707, 126660, 124122, 32335, 103167, 48249, 16144, 115924, 103359, 107277, 104028, 220, 58942, 11972, 15024, 11972, 33541, 28713, 11972, 32149, 11972, 67645, 53283, 109375, 198, 16144, 35330, 108703, 107420, 101198, 22398, 71289, 28194, 101, 48864, 35330, 15682, 117859, 112984, 29295, 16906, 111, 102800, 105879, 5486, 126954, 54926, 112973, 111108, 102800, 102677, 107391, 26269, 57207, 94550, 30512, 5486, 116700, 16995, 19732, 91774, 101682, 76622, 102204, 33541, 109900, 15682, 25197, 126989, 55031, 107420, 101198, 22398, 109768, 104533, 5486, 110924, 20230, 21990, 17129, 103468, 15722, 241, 104940, 16144, 103682, 91875, 29295, 5486, 102677, 28542, 29295, 95221, 108176, 104468, 114652, 78183, 107277, 33541, 1811, 108703, 17701, 16144, 107391, 26269, 57207, 94550, 15682, 39880, 106384, 37823, 76739, 78983, 16144, 74090, 9080, 114166, 71289, 77195, 5486, 67645, 16144, 33420, 106382, 30046, 114734, 72661, 117859, 112984, 110631 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 220, 58426, 120366, 30512, 21601, 104698, 30046, 19732, 101307, 104698, 112919, 67621, 246, 116254, 26854, 71634, 111672, 11972, 20230, 119607, 106046, 107462, 79721, 114662, 105226, 30512, 103350, 23039, 56051, 17792, 104680, 19732, 220, 58426, 117375, 16144, 17297, 16556, 59363, 105898, 17792, 104680, 16144, 87177, 38641, 220, 80673, 76771, 223, 29295, 30832, 20230, 56051, 102944, 15682, 104102, 243, 107462, 79721, 198, 103129, 106518, 104599, 111363, 105729, 114483, 91482, 109496, 29295, 105721, 78183, 100472, 39177, 66297, 120, 58850, 16144, 46729, 16144, 220, 101182, 15120, 64936, 20230, 95221, 109669, 50834, 79721, 220, 110924, 102052, 106181, 117, 104611, 20230, 19967, 109115, 106369, 46034, 105107, 16144, 110447, 29295, 107860, 122, 102204, 100481, 79721, 100844, 245, 102052, 77693, 108422, 33121, 126481, 25827, 121441, 16144, 117039, 29295, 109517, 120, 102204, 100481, 79721, 220, 77693, 120577, 110447, 15682, 66297, 120, 58850, 29295, 87109, 100525, 232, 71005, 109519, 16144, 46034, 103129, 76622, 126198, 122013, 55031, 121983, 124195, 105898, 102944, 16556, 56051, 66297, 120, 58850, 15682, 126699, 75694, 31431, 54926, 105933, 9039, 16144, 53606, 115, 44416, 45144, 243, 118480, 19732, 16937, 100525, 232, 46034, 103991, 30512, 104102, 236, 86436, 120650, 121118, 105879, 116564, 15682, 122013, 29295, 127032, 114792, 59739, 46034, 103129, 76622, 67016, 220, 21105, 103, 16995, 105272, 19732, 122984, 121256, 101961, 17792, 42891, 45829, 113495, 16144, 42579, 253, 23039, 20230, 112909, 110726, 56051, 102677, 63072, 107292, 103, 16144, 37689, 109375, 20230, 51043, 249, 17129, 115032, 19732, 66297, 120, 58850, 15682, 120267, 79721, 220, 80539, 111279, 71869, 29295, 127032, 114792, 59739, 109006, 103129, 76622, 123410, 30926, 16556, 104102, 236, 86436, 120650, 100472, 30926, 111363, 108789, 30512, 115799, 253, 107800, 33503, 19732, 112622, 107462, 79721, 66297, 120, 58850, 32977, 53900, 116056, 113495, 16144, 101890, 254, 17044, 110, 30046, 103195, 19732, 76771, 223, 102052, 108295, 121381, 31431, 17620, 107277, 79721, 108477, 108, 32977, 29295, 66297, 120, 58850, 20230, 108895, 120267, 79721, 113170, 112568, 16144, 103792, 30926, 15682, 107637, 29295, 123726, 108618, 30369, 103846, 102052, 37656, 106624, 109215, 26854, 30926, 26854, 105272, 19732, 220, 80539, 125525, 113009, 108519, 102800, 119150, 30926, 30512, 17663, 103854, 112495, 105272, 19732, 198, 51330, 39850, 26269, 64810, 78767, 29295, 220, 67645, 103171, 20230, 104195, 111101, 103351, 32149, 17620, 107277, 33541, 220, 122582, 76771, 223, 29295, 113261, 16995, 39177, 32977, 101860, 104043, 220, 110924, 33503, 126867, 36117, 95, 33121, 100481, 79721, 106982, 108981, 74396, 71289, 108613, 93488, 57326, 109388, 70626, 102181, 71289, 89154, 115332, 105352, 4996, 43002, 114601, 84389, 100481, 79721, 101961, 17792, 42891, 45829, 113495, 30512, 10414, 225, 105262, 126159, 80805, 102472, 108506, 29295, 76771, 223, 16144, 41642, 116310, 20230, 36117, 95, 33121, 101732, 16144, 38641, 198, 127012, 16937, 100525, 232, 46034, 103991, 30512, 120853, 33476, 54926, 30046, 15682, 220, 112073, 11589, 106, 115232, 107001, 119185, 198, 77693, 20230, 105068, 47884, 100909, 113115, 54926, 116196, 227, 15024, 32977, 36117, 95, 33121, 100481, 79721, 220, 58426, 39850, 26269, 64810, 78767, 29295, 102362, 104680, 20230, 27699, 116, 108950, 15024, 103188, 105557, 28713, 113009, 76771, 223, 15682, 108416, 29295, 107991, 30926, 29295, 114354, 98, 101860, 32149, 102800, 19732, 112391, 106272, 107399, 110, 100472, 16144, 38641, 198, 106384, 33710, 91062, 20230, 110226, 109013, 17792, 104067, 101961, 17792, 122485, 19732, 30177, 15024, 66297, 120, 120577, 117145, 19732, 64209, 29295, 109425, 20230, 126159, 80805, 102472, 108506, 20230, 117375, 84389, 30297, 30369, 32149, 110834, 119064, 17792, 104680, 16144, 60632, 105576, 16144, 113009, 125820, 254, 17044, 110, 30512, 16906, 255, 78183, 100604, 120208, 29295, 70472, 99849, 20230, 123296, 109161, 16556, 116292, 108740, 109904, 102944, 20230, 119487, 119, 100204, 103302, 102639, 102204, 30297, 30369, 32149, 17620, 102518, 16144, 38641, 198, 51330, 105933, 30926, 29295, 72718, 50834, 100934, 104468, 107637, 103378, 77181, 124897, 126159, 80805, 102472, 108506, 29295, 48706, 21105, 103, 16995, 29504, 104309, 105416, 79059, 17905, 220, 116414, 105352, 124897, 107637, 105755, 125821, 90962, 107610, 16073, 16556, 63091, 68171, 26854, 29504, 103195, 116497, 16144, 106222, 77181, 126159, 80805, 102472, 108506, 29295, 67645, 103171, 102944, 32149, 30512, 104736, 109375, 54926, 30926, 29295, 18049, 222, 15024, 85791, 111108, 106624, 109020, 32149, 110241, 33121, 107515, 115538, 72369, 61398, 78943, 45893, 5486, 111926, 16144, 47260, 68759, 38248, 115, 68581, 33710, 114662, 71005, 107391, 16073, 99695, 107060, 220, 80539, 328, 2507, 102083, 100472, 119630, 95221, 103470, 91774, 32149, 105784, 102944, 107809, 20230, 220, 122582, 119100, 126559, 16144, 38641, 119041, 109375, 29295, 123207, 220, 122582, 76771, 223, 104067, 16144, 113727, 30512, 104721, 107290, 103801, 61689, 220, 67645, 16144, 106222, 32977, 126159, 80805, 102472, 108506, 30512, 114794, 103350, 103306, 101682, 76622, 17701, 104028, 109688, 30297, 30813, 115991, 33541, 126159, 80805, 102472, 108506, 29295, 114794, 103350, 20230, 121619, 76947, 109913, 78183, 30369, 30926, 29295, 103470, 109020, 106222, 20230, 114794, 16144, 111764, 29295, 120824, 104028, 16144, 38641, 198, 97135, 16995, 79721, 128001, 128000, 14711, 119653, 21105, 241, 16995, 107707, 115924, 103359, 107277, 104028, 220, 58942, 11972, 15024, 11972, 33541, 28713, 11972, 32149, 11972, 67645, 98499, 50338, 25333, 1811, 104760, 105242, 16144, 107202, 46034, 26854, 101832, 22957, 15682, 99849, 29295, 103082, 126386, 104865, 198, 105298, 37087, 107277, 104028, 220, 58942, 11972, 15024, 11972, 33541, 28713, 11972, 32149, 11972, 67645, 5486, 16144, 41758, 110494, 117859, 112984, 16144, 116229, 5486, 126194, 95221, 69978, 30512, 107691, 30297, 120266, 108048, 29295, 88367, 16556, 102936, 19732, 103646, 16144, 111769, 32149, 1811, 126362, 29295, 106084, 104533, 78244, 114598, 120953, 120837, 33334, 35330, 30512, 108703, 31431, 106956, 24273, 20230, 107734, 32938, 26854, 112973, 5486, 108703, 35330, 30512, 21105, 103, 47884, 38144, 15682, 105110, 100604, 115789, 1811, 106839, 17701, 84389, 79721, 55031, 5486, 92776, 9080, 106075, 103087, 123160, 107803, 20230, 116898, 75694, 19732, 112844, 110018, 16144, 113009, 120273, 103664, 30512, 102782, 15024, 104526, 104127, 33334, 126145, 1811, 35330, 60632, 29295, 33035, 110104, 115924, 103359, 107277, 104028, 220, 58942, 11972, 15024, 11972, 33541, 28713, 11972, 32149, 11972, 67645, 71289, 43568, 107430, 115847, 15682, 101182, 126465, 16144, 113009, 5486, 108703, 35330, 119703, 17792, 32977, 16995, 104533, 91763, 61689, 1811, 125175, 20230, 39880, 45923, 66953, 112900, 30512, 109337, 73597, 252, 107113, 31431, 5486, 105184, 103350, 16556, 33334, 35330, 16144, 110726, 15024, 108703, 31431, 123410, 125344, 22398, 113390, 118517, 107060, 15682, 108948, 107084, 104526, 31431, 30369, 19012, 110, 20379, 88631, 112028, 27479, 30512, 78698, 105262, 115789, 101182, 123253, 1811, 21105, 103, 16995, 105879, 112825, 110904, 107277, 107515, 29295, 114318, 111243, 110034, 107493, 104196, 122101, 35330, 109518, 77181, 5486, 106956, 102677, 114284, 114792, 59739, 104468, 115924, 103359, 107277, 104028, 220, 58942, 11972, 15024, 11972, 33541, 28713, 11972, 32149, 11972, 67645, 111769, 32149, 106046, 61689, 9174, 89151, 50021, 124629, 39926, 102532, 5486, 110101, 48552, 72661, 33334, 35330, 30512, 108703, 31431, 30369, 80356, 15682, 5486, 108008, 20230, 103424, 47884, 100604, 38641, 1811, 99959, 32131, 99959, 32131, 19732, 101908, 122924, 15682, 108010, 30297, 15024, 5486, 13870, 232, 104698, 15682, 16027, 10190, 30512, 5486, 115191, 77181, 102717, 109416, 108703, 31431, 30369, 109335, 43568, 22649, 38641, 1811, 102782, 15024, 104526, 102189, 33503, 58426, 117073, 117591, 20230, 108703, 35330, 29295, 30591, 76947, 115515, 114225, 33334, 35330, 30512, 108703, 31431, 106956, 39177, 15682, 5486, 16144, 41007, 15682, 33334, 35330, 113115, 54926, 117859, 112984, 19732, 108703, 17701, 61826, 16556, 122074, 84389, 33541, 1811, 105150, 106518, 71289, 88356, 46091, 16144, 115191, 104309, 113468, 5486, 115924, 103359, 107277, 104028, 220, 58942, 11972, 15024, 11972, 33541, 28713, 11972, 32149, 11972, 67645, 77181, 37026, 110362, 107898, 35330, 30512, 108703, 31431, 30369, 105908, 5486, 121410, 9953, 17, 11, 931, 35757, 117758, 1811, 51385, 87844, 16144, 117232, 29295, 106613, 38144, 81219, 109683, 19732, 110726, 35330, 101275, 30046, 15682, 33420, 105262, 103846, 5486, 114225, 107898, 35330, 30512, 108703, 31431, 30369, 30926, 29295, 5486, 116907, 16144, 43511, 61337, 119178, 86206, 103302, 101911, 9458, 73597, 252, 108446, 107407, 109807, 103846, 43240, 119064, 116537, 5486, 32977, 43514, 85791, 25827, 104196, 111587, 30512, 30250, 227, 117063, 106956, 59739, 123731, 104309, 37087, 47884, 100604, 107118, 5486, 110101, 48552, 16144, 102099, 105150, 106518, 29295, 119448, 16995, 19732, 103167, 115737, 31431, 33541, 1811, 110726, 35330, 101275, 30046, 15682, 20713, 46702, 39177, 23897, 104989, 15682, 33671, 16144, 9080, 117084, 114604, 31431, 5486, 104654, 16144, 21990, 82420, 30512, 121697, 101732, 114754, 102159, 114516, 106075, 103087, 103351, 29295, 108948, 35330, 30512, 108703, 31431, 30369, 105110, 116414, 29295, 104712, 1811, 104405, 120837, 33334, 35330, 29295, 109215, 26854, 39177, 5486, 103188, 86436, 20230, 102131, 16995, 100472, 109337, 73597, 252, 71289, 5486, 51385, 64209, 99750, 20230, 37507, 38144, 110726, 35330, 101275, 30046, 30512, 39926, 115364, 1811, 108703, 35330, 21105, 103, 47884, 111243, 127331, 33503, 109768, 105784, 115289, 122279, 103351, 105879, 5486, 106548, 37705, 15682, 114363, 101275, 36668, 122924, 72661, 16325, 96356, 15682, 5486, 105933, 109335, 111098, 107674, 118881, 29295, 104712, 123253, 1811, 105321, 110162, 39926, 33334, 35330, 30512, 108703, 31431, 30369, 41007, 103306, 15682, 5486, 114083, 38093, 72661, 33334, 35330, 30512, 108703, 31431, 30369, 41007, 15682, 5486, 115924, 103359, 107277, 104028, 220, 58942, 11972, 15024, 11972, 33541, 28713, 11972, 32149, 11972, 67645, 15682, 107391, 26269, 57207, 94550, 20230, 117859, 112984, 104309, 124108, 103646, 116245, 16556, 33655, 30297, 102944, 9174, 37026, 110362, 103664, 69253, 104309, 115991, 5486, 110726, 39926, 124089, 110229, 29295, 91774, 59739, 124403, 19732, 33334, 110482, 111331, 30591, 112568, 20230, 5486, 46239, 32977, 1114, 55038, 120264, 95475, 62004, 1811, 33420, 106382, 30046, 114734, 105110, 111926, 32977, 103309, 56965, 32977, 117859, 112984, 117824, 76947, 61689, 105879, 108149, 112568, 32977, 114387, 106613, 111186, 126198, 109335, 5486, 115924, 103359, 77195, 20230, 114146, 38144, 122225, 30512, 104721, 58942, 110071, 112973, 50338, 104662, 16144, 104712, 110229, 38641, 1811, 30926, 103350, 105110, 74090, 9080, 114166, 32977, 103309, 56965, 32977, 117859, 112984, 117824, 76947, 61689, 105879, 108048, 108680, 127181, 107118, 120953, 120837, 33334, 35330, 29295, 102717, 102800, 110018, 15682, 104405, 126693, 104712, 104865, 9174, 104405, 120837, 66953, 44971, 101511, 105994, 16556, 33334, 35330, 29295, 5486, 122013, 20230, 53283, 102204, 101860, 20230, 51385, 64209, 39926, 108703, 31431, 30369, 105908, 103082, 1811, 9458, 61633, 9458, 113293, 102781, 32938, 107001, 112772, 108948, 35330, 107898, 110482, 111331, 24273, 15682, 112371, 104328, 114734, 101513, 97518, 64121, 30512, 111800, 118219, 39926, 64121, 38144, 112987, 32149, 29295, 5486, 108703, 31431, 102204, 100604, 102677, 113334, 77181, 124897, 1811, 126513, 117475, 100604, 104865, 110241, 33121, 107515, 29295, 5486, 112185, 98915, 17792, 55031, 20713, 8107, 67016, 106613, 107462, 107515, 29295, 120953, 120837, 110589, 16325, 107898, 35330, 29295, 109215, 102083, 100472, 107803, 32977, 101182, 106046, 61689, 1811, 28542, 19000, 127303, 104984, 32335, 106649, 16556, 15120, 78244, 5486, 69978, 107462, 100481, 118544, 19732, 104655, 32149, 106824, 5486, 110526, 30512, 110794, 106956, 107391, 26269, 57207, 94550, 86614, 78183, 117295, 16144, 9174, 19732, 32307, 29295, 15120, 16144, 104983, 20230, 127933, 38144, 103470, 38144, 111587, 104004, 123253, 5486, 107420, 101198, 22398, 117758, 109606, 71289, 108048, 33503, 15682, 117475, 26854, 105879, 109954, 32149, 9174, 33334, 35330, 30512, 108703, 31431, 106956, 102677, 116537, 5486, 66378, 20230, 115924, 103359, 107277, 104028, 220, 58942, 11972, 15024, 11972, 33541, 28713, 11972, 32149, 11972, 67645, 29295, 43240, 47884, 38144, 48706, 5486, 109337, 73597, 252, 15682, 107391, 26269, 57207, 94550, 16144, 29857, 235, 119775, 115079, 58942, 100481, 9174, 51330, 107693, 77181, 105184, 103350, 107898, 35330, 30512, 108703, 31431, 106956, 24273, 16144, 113009, 5486, 108031, 117859, 112984, 16144, 126954, 126328, 5486, 115924, 103359, 107898, 35330, 30512, 108703, 31431, 110071, 32938, 15682, 116414, 1811, 37689, 109375, 103296, 74482, 17, 117073, 126513, 5486, 105047, 26854, 20834, 106382, 16556, 33334, 35330, 29295, 102780, 31431, 100604, 55031, 107391, 26269, 57207, 94550, 20230, 5486, 43568, 102147, 226, 72661, 108703, 31431, 110071, 104371, 47523, 29295, 100783, 102, 16995, 117475, 38144, 101182, 16144, 9174, 123218, 42634, 107060, 76947, 127091, 19732, 33334, 35330, 29295, 32149, 107277, 33541, 123794, 5486, 82973, 20230, 23530, 15682, 103963, 117943, 106978, 113096, 16144, 102782, 15024, 121697, 29295, 5486, 46729, 30512, 107691, 30297, 110162, 101918, 30512, 107691, 30297, 110162, 13828, 245, 111813, 15682, 103599, 16556, 9174, 122502, 16995, 126386, 55031, 127105, 108703, 31431, 106956, 105879, 109954, 29295, 5486, 108056, 19732, 2118, 110382, 15682, 108895, 95604, 72516, 38641, 2118, 19732, 102181, 102532, 30591, 76947, 5486, 41007, 103306, 15682, 119448, 47884, 17620, 107441, 41920, 59739, 57903, 33541, 9174, 14711, 114354, 98, 119707, 126660, 124122, 32335, 103167, 48249, 16144, 115924, 103359, 107277, 104028, 220, 58942, 11972, 15024, 11972, 33541, 28713, 11972, 32149, 11972, 67645, 53283, 109375, 198, 16144, 35330, 108703, 107420, 101198, 22398, 71289, 28194, 101, 48864, 35330, 15682, 117859, 112984, 29295, 16906, 111, 102800, 105879, 5486, 126954, 54926, 112973, 111108, 102800, 102677, 107391, 26269, 57207, 94550, 30512, 5486, 116700, 16995, 19732, 91774, 101682, 76622, 102204, 33541, 109900, 15682, 25197, 126989, 55031, 107420, 101198, 22398, 109768, 104533, 5486, 110924, 20230, 21990, 17129, 103468, 15722, 241, 104940, 16144, 103682, 91875, 29295, 5486, 102677, 28542, 29295, 95221, 108176, 104468, 114652, 78183, 107277, 33541, 1811, 108703, 17701, 16144, 107391, 26269, 57207, 94550, 15682, 39880, 106384, 37823, 76739, 78983, 16144, 74090, 9080, 114166, 71289, 77195, 5486, 67645, 16144, 33420, 106382, 30046, 114734, 72661, 117859, 112984, 110631 ]
[ 16556, 119375, 32149, 106824, 5486, 114565, 32977, 112361, 109860, 125651, 120234, 105184, 118899, 2185, 5486, 71493, 114483, 16073, 20230, 108826, 30369, 35330, 109518, 122617, 30512, 121410, 9953, 104196, 111587, 109768, 50834, 5486, 107740, 30046, 125030, 76947, 16144, 111419, 29295, 45736, 17129, 76947, 61689, 1811, 112599, 41007, 77181, 5486, 30813, 17663, 29295, 20230, 110219, 54926, 124042, 46034, 38574, 15682, 5486, 107803, 19732, 33420, 106382, 30046, 114734, 77181, 126543, 107001, 1811, 107391, 26269, 57207, 94550, 117859, 112984, 110631, 16995, 88367, 110745, 111398, 51385, 64209, 111848, 117859, 112984, 30512, 108703, 35330, 54926, 109215, 29295, 5486, 25197, 110191, 20230, 109215, 115991, 33541, 32149, 1811, 114626, 16144, 117943, 64121, 16144, 92776, 9080, 106075, 103087, 110371, 105933, 110101, 48552, 101275, 112919, 66378, 17599, 112, 15682, 115847, 126328, 125821, 111482, 29295, 115924, 103359, 107277, 104028, 220, 58942, 11972, 15024, 11972, 33541, 28713, 11972, 32149, 11972, 67645, 20230, 58318, 105262, 120098, 15682, 119448, 16995, 102944, 108176, 116497, 9174, 43568, 117859, 112984, 105360, 20230, 117859, 112984, 29295, 110631, 16995, 115924, 103359, 107277, 104028, 220, 58942, 11972, 15024, 11972, 33541, 28713, 11972, 32149, 11972, 67645, 16144, 126362, 5486, 126794, 126636, 46034, 15682, 13177, 117859, 112984, 20230, 106075, 33035, 29295, 60632, 47884, 100909, 10646, 119627, 5486, 16937, 105184, 103792, 105908, 81219, 103468, 31431, 21105, 103, 16995, 105879, 109954, 32149, 1811, 19732, 112649, 47884, 13177, 104257, 121370, 16556, 78183, 107277, 126172, 16995, 103857, 108994, 11972, 118587, 32018, 62004, 100934, 116537, 5486, 13357, 229, 114734, 29295, 110631, 16995, 104468, 5486, 103188, 86436, 20230, 121568, 122975, 108134, 101513, 97518, 71289, 101427, 113, 102781, 64531, 22649, 30512, 35330, 108703, 39926, 102532, 32977, 9174, 108695, 15682, 124897, 29295, 110371, 119400, 15682, 114734, 15682, 125261, 116229, 124905, 16995, 22957, 26854, 39926, 5486, 117475, 16144, 112997, 29220, 29295, 110631, 16995, 110229, 1811, 43568, 102147, 226, 55031, 96356, 60358, 103082, 127567, 5486, 61826, 108680, 33334, 87177, 56051, 104466, 5486, 117859, 112984, 20230, 117859, 112984, 29295, 110631, 16995, 17792, 21990, 114760, 102083, 116285, 117896, 1811, 112424, 29295, 27929, 32977, 27929, 32977, 108901, 109020, 105879, 5486, 112832, 72661, 106266, 110631, 117859, 112984, 16144, 39442, 13153, 8107, 39850, 64178, 30512, 102647, 103854, 81219, 104712, 106046, 76947, 103801, 61689, 29295, 5486, 110794, 120332, 15682, 1187, 106529, 33563, 29295, 114734, 121711, 33541, 1811, 115191, 16144, 117384, 2185, 108948, 65854, 16144, 117859, 112984, 29295, 110631, 16995, 110229, 30512, 106767, 39926, 5486, 9080, 55031, 72718, 70203, 39926, 1954, 105509, 29295, 73597, 252, 100472, 115924, 103359, 107277, 104028, 220, 58942, 11972, 15024, 11972, 33541, 28713, 11972, 32149, 11972, 67645, 30512, 64467, 78434, 1811, 33420, 106382, 30046, 114734, 26854, 102944, 15682, 37026, 110362, 50667, 103306, 5486, 107803, 20119, 254, 16556, 118430, 118095, 20230, 88367, 123410, 116537, 5486, 35330, 108703, 103792, 105908, 81219, 103468, 31431, 21105, 103, 16995, 105879, 109954, 32149, 1811, 107391, 26269, 57207, 94550, 110101, 48552, 20230, 104622, 102800, 107420, 101198, 22398, 2185, 108948, 123011, 62004, 66953, 44971, 15682, 117859, 112984, 20230, 33035, 33503, 103470, 38144, 15682, 5486, 102782, 109311, 15682, 123218, 119703, 19732, 1811, 102178, 111665, 29295, 115442, 31431, 5486, 48706, 54926, 112973, 111108, 102800, 102677, 48706, 30512, 5486, 33014, 111186, 56051, 100909, 16144, 100604, 116537, 13177, 99849, 30512, 117859, 112984, 107001, 16144, 9174, 13357, 229, 35330, 107118, 76947, 26854, 20230, 11972, 99849, 27479, 16995, 101511, 33334, 35330, 30512, 108703, 31431, 30369, 104983, 20230, 104405, 120837, 95221, 108176, 112973, 5486, 122013, 29295, 30591, 114598, 117859, 112984, 20230, 33035, 30369, 66383, 95604, 113334, 77181, 124897, 1811, 60632, 45829, 30512, 96412, 109013, 104196, 111587, 109518, 29295, 114485, 110104, 101399, 5486, 117859, 112984, 75146, 107253, 966, 110743, 88852, 29295, 5486, 115924, 103359, 29295, 19967, 103468, 33503, 96356, 32943, 30512, 101662, 38144, 101200, 1811, 108703, 35330, 9458, 109198, 17701, 29295, 113473, 104309, 19732, 5486, 117859, 112984, 29295, 110631, 16995, 102677, 117355, 16995, 78698, 107290, 5486, 111199, 76505, 105189, 120740, 122225, 29295, 13372, 19967, 122411, 16144, 105037, 236, 20230, 117598, 30369, 1811, 9039, 112603, 84389, 100481, 123207, 5486, 46729, 83812, 225, 16144, 117859, 112984, 29295, 110631, 16995, 110229, 15682, 5486, 102677, 28542, 29295, 95221, 108176, 104468, 114652, 78183, 107277, 33541, 1811, 123218, 42634, 107060, 30512, 39926, 102532, 96356, 60358, 115991, 110371, 107803, 26854, 104468, 5486, 108703, 35330, 39926, 124089, 102971, 105242, 15682, 48706, 127145, 9174, 112599, 61633, 28542, 77181, 5486, 107297, 102800, 37823, 61398, 72661, 100604, 5486, 108895, 16995, 100472, 103167, 35330, 60632, 16144, 104196, 111587, 16556, 108703, 31431, 17129, 109954, 9174, 126843, 15682, 102782, 15024, 121423, 103378, 72661, 111587, 105823, 38144, 33334, 76622, 81219, 5486, 121568, 122975, 108134, 16556, 117859, 112984, 29295, 33035, 30369, 92776, 9080, 107118, 5486, 33655, 30297, 41007, 113468, 15682, 102924, 60632, 30813, 29295, 104983, 118013, 33541, 9174, 89046, 117139, 108695, 107407, 104865, 104405, 32149, 5486, 105184, 103350, 54926, 112973, 111108, 102800, 102677, 117859, 112984, 110631, 30512, 5486, 125261, 19732, 117859, 112984, 20230, 114734, 54926, 102083, 117201, 109954, 1811, 35330, 60632, 20230, 103721, 108, 31431, 109415, 104196, 111587, 117824, 30297, 24273, 29295, 104712, 16144, 119627, 108948, 65854, 16144, 117859, 112984, 29295, 110631, 16995, 110229, 30512, 106767, 39926, 5486, 9080, 111017, 104309, 55031, 1811, 115924, 103359, 107277, 104028, 220, 58942, 11972, 15024, 11972, 33541, 28713, 11972, 32149, 11972, 67645, 19732, 125261, 112990, 5486, 22398, 41758, 20230, 108703, 31431, 121771, 38144, 110482, 103836, 5486, 103359, 117120, 29295, 117859, 112984, 117824, 30297, 1811, 108895, 56051, 110726, 35330, 101275, 30046, 15682, 5486, 112424, 108010, 95543, 16144, 114734, 77181, 46034, 117355, 102677, 112973, 108695, 16556, 111017, 19732, 33334, 35330, 30512, 5486, 59614, 101860, 117859, 112984, 29295, 23039, 123671, 33541, 1811, 33420, 106382, 30046, 114734, 29295, 110631, 16995, 102677, 109335, 110371, 121953, 15682, 117859, 112984, 16144, 121953, 55031, 109749, 113334, 119627, 5486, 110229, 120937, 105879, 109954, 32149, 1811, 33420, 106382, 30046, 114734, 16556, 33334, 35330, 30512, 108703, 31431, 101200, 106046, 114598, 5486, 126128, 107290, 33334, 47884, 120098, 30512, 53283, 107462, 104984, 114734, 101275, 30046, 20230, 108703, 31431, 125639, 54926, 105908, 5486, 41007, 22656, 17792, 16556, 33334, 35330, 30512, 108703, 31431, 106956, 24273, 15682, 17297, 61304, 30512, 48154, 111182, 72315, 109900, 72661, 115079, 109518, 30512, 102782, 15024, 104526, 104004, 124720, 107407, 115924, 103359, 107277, 104028, 220, 58942, 11972, 15024, 11972, 33541, 28713, 11972, 32149, 11972, 67645, 15682, 5486, 117859, 112984, 75146, 107253, 29295, 110631, 16995, 47260, 101198, 120937, 103846, 5486, 106719, 58911, 124905, 116285, 9174, 14711, 106664, 16556, 78183, 117295, 115924, 103359, 107277, 104028, 220, 58942, 11972, 15024, 11972, 33541, 28713, 11972, 32149, 11972, 67645, 198, 104405, 120837, 33334, 35330, 29295, 109215, 26854, 110018, 5486, 117032, 126036, 109215, 20230, 117859, 112984, 39926, 5486, 105184, 111201, 9039, 9080, 25580, 102677, 13372, 15682, 120065, 105324, 102802, 20230, 47884, 16995, 1811, 35330, 109518, 30512, 71634, 103830, 56051, 31431, 5486, 111831, 19732, 124131, 84477, 108526, 16073, 16556, 33334, 35330, 30512, 108703, 31431, 30369, 120266, 9921, 248, 78183, 106824, 5486, 108176, 112973, 110526, 16144, 39850, 37823, 67075, 38641, 1811, 123410, 17792, 32977, 20834, 38144, 109749, 105879, 5486, 106075, 103087, 77195, 103306, 15682, 508, 97049, 71689, 5486, 53508, 231, 104195, 77181, 106075, 103087, 88367, 103082, 1811, 76622, 39926, 37271, 114225, 109215, 26854, 16937, 91875, 106518, 106529, 33563, 126194, 5486, 112424, 113468, 104736, 62004, 125398, 116718, 16144, 101427, 113, 102781, 64531, 22649, 26854, 105879, 5486, 46456, 124237, 72661, 108703, 31431, 104028, 117859, 112984, 67, 1474, 9186, 1811, 103005, 55228, 231, 111681, 16144, 114140, 126529, 119627, 5486, 103350, 104983, 104309, 15682, 5486, 110298, 13177, 107691, 100472, 102944, 43568, 107430, 10646, 116825, 109749, 33334, 35330, 29295, 80631, 107, 62004, 9174, 51330, 92776, 9080, 106075, 103087, 107118, 5486, 117859, 112984, 20230, 53610, 19732, 20834, 21980, 223, 30512, 21601, 107290, 108948, 35330, 30512, 108703, 31431, 30369, 102452, 32943, 5120, 1811, 106718, 113146, 112028, 89046, 16144, 105522, 240, 91875, 77181, 108948, 35330, 29295, 43568, 47884, 125764, 53953, 17663, 110104, 107803, 16144, 107792, 103664, 41007, 103306, 5486, 106046, 76947, 112987, 100604, 123253, 32149, 9174, 39177, 103296, 20230, 115191, 39276, 50834, 29295, 47406, 35287, 109768, 104984, 5486, 107803, 21180, 41, 123218, 42634, 107060, 20230, 40526, 103605, 114792, 103836, 17792, 103378, 15682, 5486, 102677, 108936, 9554, 15682, 57903, 79721, 29295, 89151, 50021, 103306, 33334, 35330, 30512, 108703, 31431, 79721, 1811, 104196, 111587, 30512, 71634, 103830, 56051, 31431, 114318, 111243, 110034, 107493, 104196, 122101, 35330, 109518, 77181, 5486, 115251, 15682, 101171, 227, 15024, 108176, 32149, 19732, 78698, 107800, 9174, 110219, 30512, 71634, 103830, 56051, 31431, 5486, 114734, 101513, 97518, 126036, 115289, 122279, 20230, 117859, 112984, 39926, 108948, 35330, 126694, 30369, 100909, 16144, 108608, 41007, 30512, 126362, 78434, 1811, 68759, 102750, 115247, 27384, 46034, 15682, 110371, 105933, 106592, 91763, 125167, 35330, 108703, 29295, 5486, 114225, 20230, 43568, 117859, 112984, 124905, 30297, 105908, 125545, 1811, 108031, 35330, 105226, 41007, 30512, 71289, 31431, 59739, 47884, 39926, 5486, 37656, 106624, 33334, 35330, 126694, 30369, 29504, 106382, 103306, 15682, 17792, 55031, 33334, 35330, 30512, 108703, 31431, 30369, 102420, 15682, 113949, 115191, 104309, 20230, 108948, 35330, 29295, 108703, 31431, 104028, 109215, 15682, 103283, 16144, 41007, 30512, 78698, 105262, 125231, 103351, 31431, 54926, 123253, 1811, 54926, 109335, 103082, 79721, 29295, 5486, 114667, 55031, 17701, 100472, 17792, 20230, 127105, 5486, 105994, 29295, 37271, 113871, 16325, 101983, 103836, 102944, 15682, 13177, 105525, 30369, 107803, 10646, 55031, 1811, 111482, 15682, 33334, 35330, 20230, 126920, 110482, 100472, 110018, 108948, 35330, 30512, 108703, 31431, 30369, 112772, 5486, 106046, 76947, 112987, 100604, 123253, 32149, 1811, 124373, 118639, 16556, 36149, 112, 31431, 32149, 117295, 107391, 26269, 57207, 94550, 126758, 29295, 5486, 9080, 25132, 229, 119178, 117943, 121140, 126238, 105047, 16556, 605, 110743, 30512, 11883, 37689, 54926, 17905, 48249, 107118, 108149, 110924, 16556, 127637, 29295, 42016, 103826, 20230, 58318, 105262, 117375, 48634, 16144, 119448, 30813, 29295, 114734, 108695, 103082, 79721, 1811, 38093, 82420, 54926, 102677, 104468, 5486, 107943, 24273, 20230, 127742, 16144, 37656, 102800, 101427, 113, 102781, 64531, 22649, 16325, 107118, 5486, 107391, 26269, 57207, 94550, 20230, 103129, 117295, 103378, 38641, 1811, 67645, 103171, 20230, 105465, 21105, 251, 30297, 26854, 115924, 103359, 107277, 104028, 220, 58942, 11972, 15024, 11972, 33541, 28713, 11972, 32149, 11972, 67645, 72661, 108149, 112568, 20230, 110101, 48552, 56051, 35330, 109518, 29295, 5486, 105047, 20230, 46034, 38574, 32335, 106649, 29295, 49691, 121, 67178, 26854, 39177, 102052, 103129, 32149, 104533, 91763, 61689, 1811, 15682, 106084, 16144, 126543, 114475, 76622, 5486, 114734, 101275, 30046, 20230, 102782, 15024, 104526, 104004, 107803, 105352, 120208, 16144, 126362, 29295, 103082, 38144, 5486, 125821, 103005, 106344, 72099, 20230, 109215, 126738, 35330, 30512, 108703, 31431, 110071, 45893, 30512, 121507, 54926, 101200, 9174, 88367, 39926, 47884, 106824, 61689, 105879, 108948, 117859, 112984, 109860, 33334, 35330, 29295, 109215, 16556, 33334, 107391, 26269, 57207, 94550, 31431, 106956, 102321, 103350, 30512, 117859, 112984, 54926, 41007, 107118, 108948, 35330, 29295, 109215, 26854, 17792, 102052, 85777, 106956, 48706, 38641, 1811, 102677, 121247, 16995, 115717, 33541, 105879, 5486, 113314, 16144, 120208, 121142, 103470, 5486, 103435, 116, 51609, 20230, 104774, 25197, 96452, 107446, 30512, 39926, 121410, 9080, 29295, 112008, 102800, 106046, 61689, 113637, 101083, 107809, 16556, 123726, 30369, 100909, 121906, 16556, 123207, 101908, 19732, 103283, 106824, 108948, 35330, 108703, 31431, 30369, 41007, 119703, 19732, 101790, 99, 109315, 112772, 53283, 30369, 125231, 30926, 2185, 1811, 126465, 102677, 19732, 5486, 108703, 35330, 30512, 119870, 64121, 105987, 17663, 109163, 16995, 122282, 67016, 100604, 102677, 24273, 32977, 127181, 106046, 61689, 29295, 108948, 35330, 16144, 112622, 103192, 30512, 15017, 101, 38144, 104533, 33334, 35330, 29295, 115924, 103359, 107277, 104028, 220, 58942, 11972, 15024, 11972, 33541, 28713, 11972, 32149, 11972, 67645, 109156, 30369, 9174, 46456, 124237, 102052, 109215, 64121, 104196, 111587, 121711, 33541, 29295, 5486, 108695, 16556, 115924, 103359, 107277, 104028, 220, 58942, 11972, 15024, 11972, 33541, 28713, 11972, 32149, 11972, 67645, 29295, 5486, 117859, 112984, 16144, 110631, 16995, 117734, 21990, 2185, 1811, 102923, 102332, 54926, 112973, 109755, 16995, 24273, 5486, 115552, 51385, 64209, 15682, 102131, 16995, 100472, 33334, 72516, 20230, 5486, 125396, 16144, 107693, 29295, 114715, 1811, 103846, 107898, 35330, 29295, 102717, 102800, 5486, 107803, 54926, 123218, 30512, 5486, 114363, 101275, 36668, 122924, 15682, 86127, 29295, 109215, 30512, 108703, 31431, 125639, 15024, 1811, 48154, 114053, 20230, 72406, 121, 105898, 39177, 15682, 108948, 35330, 29295, 103470, 38144, 110482, 100472, 126101, 5486, 77195, 103306, 82912, 109669, 105784, 102083, 16995, 19732, 1811, 112500, 80195, 30512, 113727, 100604, 19732, 110371, 105933, 106592, 91763, 125167, 106613, 111186, 29295, 5486, 60358, 119400, 103378, 29295, 113173, 16144, 1811, 104405, 120837, 33334, 35330, 29295, 109215, 26854, 110018, 5486, 110924, 103296, 91763, 108064, 62004, 100934, 116537, 109755, 124749, 57980, 108005, 121, 67645, 16144, 114667, 29295, 30591, 76947, 108948, 35330, 30512, 116414, 32149, 16556, 108703, 31431, 123207, 109606, 29295, 13153, 31431, 80195, 28713, 123733, 76947, 114732, 1811, 17792, 105321, 32149, 127303, 104984, 5486, 107943, 24273, 20230, 109215, 30512, 105184, 96455, 20230, 5486, 37026, 112167, 101275, 29295, 109948, 126660, 104466, 109243, 28741, 20230, 21105, 103, 29295, 33503, 108703, 125639, 30512, 109768, 105898, 16995, 1811, 108703, 35330, 66383, 39926, 66953, 44971, 29295, 45736 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 119375, 32149, 106824, 5486, 114565, 32977, 112361, 109860, 125651, 120234, 105184, 118899, 2185, 5486, 71493, 114483, 16073, 20230, 108826, 30369, 35330, 109518, 122617, 30512, 121410, 9953, 104196, 111587, 109768, 50834, 5486, 107740, 30046, 125030, 76947, 16144, 111419, 29295, 45736, 17129, 76947, 61689, 1811, 112599, 41007, 77181, 5486, 30813, 17663, 29295, 20230, 110219, 54926, 124042, 46034, 38574, 15682, 5486, 107803, 19732, 33420, 106382, 30046, 114734, 77181, 126543, 107001, 1811, 107391, 26269, 57207, 94550, 117859, 112984, 110631, 16995, 88367, 110745, 111398, 51385, 64209, 111848, 117859, 112984, 30512, 108703, 35330, 54926, 109215, 29295, 5486, 25197, 110191, 20230, 109215, 115991, 33541, 32149, 1811, 114626, 16144, 117943, 64121, 16144, 92776, 9080, 106075, 103087, 110371, 105933, 110101, 48552, 101275, 112919, 66378, 17599, 112, 15682, 115847, 126328, 125821, 111482, 29295, 115924, 103359, 107277, 104028, 220, 58942, 11972, 15024, 11972, 33541, 28713, 11972, 32149, 11972, 67645, 20230, 58318, 105262, 120098, 15682, 119448, 16995, 102944, 108176, 116497, 9174, 43568, 117859, 112984, 105360, 20230, 117859, 112984, 29295, 110631, 16995, 115924, 103359, 107277, 104028, 220, 58942, 11972, 15024, 11972, 33541, 28713, 11972, 32149, 11972, 67645, 16144, 126362, 5486, 126794, 126636, 46034, 15682, 13177, 117859, 112984, 20230, 106075, 33035, 29295, 60632, 47884, 100909, 10646, 119627, 5486, 16937, 105184, 103792, 105908, 81219, 103468, 31431, 21105, 103, 16995, 105879, 109954, 32149, 1811, 19732, 112649, 47884, 13177, 104257, 121370, 16556, 78183, 107277, 126172, 16995, 103857, 108994, 11972, 118587, 32018, 62004, 100934, 116537, 5486, 13357, 229, 114734, 29295, 110631, 16995, 104468, 5486, 103188, 86436, 20230, 121568, 122975, 108134, 101513, 97518, 71289, 101427, 113, 102781, 64531, 22649, 30512, 35330, 108703, 39926, 102532, 32977, 9174, 108695, 15682, 124897, 29295, 110371, 119400, 15682, 114734, 15682, 125261, 116229, 124905, 16995, 22957, 26854, 39926, 5486, 117475, 16144, 112997, 29220, 29295, 110631, 16995, 110229, 1811, 43568, 102147, 226, 55031, 96356, 60358, 103082, 127567, 5486, 61826, 108680, 33334, 87177, 56051, 104466, 5486, 117859, 112984, 20230, 117859, 112984, 29295, 110631, 16995, 17792, 21990, 114760, 102083, 116285, 117896, 1811, 112424, 29295, 27929, 32977, 27929, 32977, 108901, 109020, 105879, 5486, 112832, 72661, 106266, 110631, 117859, 112984, 16144, 39442, 13153, 8107, 39850, 64178, 30512, 102647, 103854, 81219, 104712, 106046, 76947, 103801, 61689, 29295, 5486, 110794, 120332, 15682, 1187, 106529, 33563, 29295, 114734, 121711, 33541, 1811, 115191, 16144, 117384, 2185, 108948, 65854, 16144, 117859, 112984, 29295, 110631, 16995, 110229, 30512, 106767, 39926, 5486, 9080, 55031, 72718, 70203, 39926, 1954, 105509, 29295, 73597, 252, 100472, 115924, 103359, 107277, 104028, 220, 58942, 11972, 15024, 11972, 33541, 28713, 11972, 32149, 11972, 67645, 30512, 64467, 78434, 1811, 33420, 106382, 30046, 114734, 26854, 102944, 15682, 37026, 110362, 50667, 103306, 5486, 107803, 20119, 254, 16556, 118430, 118095, 20230, 88367, 123410, 116537, 5486, 35330, 108703, 103792, 105908, 81219, 103468, 31431, 21105, 103, 16995, 105879, 109954, 32149, 1811, 107391, 26269, 57207, 94550, 110101, 48552, 20230, 104622, 102800, 107420, 101198, 22398, 2185, 108948, 123011, 62004, 66953, 44971, 15682, 117859, 112984, 20230, 33035, 33503, 103470, 38144, 15682, 5486, 102782, 109311, 15682, 123218, 119703, 19732, 1811, 102178, 111665, 29295, 115442, 31431, 5486, 48706, 54926, 112973, 111108, 102800, 102677, 48706, 30512, 5486, 33014, 111186, 56051, 100909, 16144, 100604, 116537, 13177, 99849, 30512, 117859, 112984, 107001, 16144, 9174, 13357, 229, 35330, 107118, 76947, 26854, 20230, 11972, 99849, 27479, 16995, 101511, 33334, 35330, 30512, 108703, 31431, 30369, 104983, 20230, 104405, 120837, 95221, 108176, 112973, 5486, 122013, 29295, 30591, 114598, 117859, 112984, 20230, 33035, 30369, 66383, 95604, 113334, 77181, 124897, 1811, 60632, 45829, 30512, 96412, 109013, 104196, 111587, 109518, 29295, 114485, 110104, 101399, 5486, 117859, 112984, 75146, 107253, 966, 110743, 88852, 29295, 5486, 115924, 103359, 29295, 19967, 103468, 33503, 96356, 32943, 30512, 101662, 38144, 101200, 1811, 108703, 35330, 9458, 109198, 17701, 29295, 113473, 104309, 19732, 5486, 117859, 112984, 29295, 110631, 16995, 102677, 117355, 16995, 78698, 107290, 5486, 111199, 76505, 105189, 120740, 122225, 29295, 13372, 19967, 122411, 16144, 105037, 236, 20230, 117598, 30369, 1811, 9039, 112603, 84389, 100481, 123207, 5486, 46729, 83812, 225, 16144, 117859, 112984, 29295, 110631, 16995, 110229, 15682, 5486, 102677, 28542, 29295, 95221, 108176, 104468, 114652, 78183, 107277, 33541, 1811, 123218, 42634, 107060, 30512, 39926, 102532, 96356, 60358, 115991, 110371, 107803, 26854, 104468, 5486, 108703, 35330, 39926, 124089, 102971, 105242, 15682, 48706, 127145, 9174, 112599, 61633, 28542, 77181, 5486, 107297, 102800, 37823, 61398, 72661, 100604, 5486, 108895, 16995, 100472, 103167, 35330, 60632, 16144, 104196, 111587, 16556, 108703, 31431, 17129, 109954, 9174, 126843, 15682, 102782, 15024, 121423, 103378, 72661, 111587, 105823, 38144, 33334, 76622, 81219, 5486, 121568, 122975, 108134, 16556, 117859, 112984, 29295, 33035, 30369, 92776, 9080, 107118, 5486, 33655, 30297, 41007, 113468, 15682, 102924, 60632, 30813, 29295, 104983, 118013, 33541, 9174, 89046, 117139, 108695, 107407, 104865, 104405, 32149, 5486, 105184, 103350, 54926, 112973, 111108, 102800, 102677, 117859, 112984, 110631, 30512, 5486, 125261, 19732, 117859, 112984, 20230, 114734, 54926, 102083, 117201, 109954, 1811, 35330, 60632, 20230, 103721, 108, 31431, 109415, 104196, 111587, 117824, 30297, 24273, 29295, 104712, 16144, 119627, 108948, 65854, 16144, 117859, 112984, 29295, 110631, 16995, 110229, 30512, 106767, 39926, 5486, 9080, 111017, 104309, 55031, 1811, 115924, 103359, 107277, 104028, 220, 58942, 11972, 15024, 11972, 33541, 28713, 11972, 32149, 11972, 67645, 19732, 125261, 112990, 5486, 22398, 41758, 20230, 108703, 31431, 121771, 38144, 110482, 103836, 5486, 103359, 117120, 29295, 117859, 112984, 117824, 30297, 1811, 108895, 56051, 110726, 35330, 101275, 30046, 15682, 5486, 112424, 108010, 95543, 16144, 114734, 77181, 46034, 117355, 102677, 112973, 108695, 16556, 111017, 19732, 33334, 35330, 30512, 5486, 59614, 101860, 117859, 112984, 29295, 23039, 123671, 33541, 1811, 33420, 106382, 30046, 114734, 29295, 110631, 16995, 102677, 109335, 110371, 121953, 15682, 117859, 112984, 16144, 121953, 55031, 109749, 113334, 119627, 5486, 110229, 120937, 105879, 109954, 32149, 1811, 33420, 106382, 30046, 114734, 16556, 33334, 35330, 30512, 108703, 31431, 101200, 106046, 114598, 5486, 126128, 107290, 33334, 47884, 120098, 30512, 53283, 107462, 104984, 114734, 101275, 30046, 20230, 108703, 31431, 125639, 54926, 105908, 5486, 41007, 22656, 17792, 16556, 33334, 35330, 30512, 108703, 31431, 106956, 24273, 15682, 17297, 61304, 30512, 48154, 111182, 72315, 109900, 72661, 115079, 109518, 30512, 102782, 15024, 104526, 104004, 124720, 107407, 115924, 103359, 107277, 104028, 220, 58942, 11972, 15024, 11972, 33541, 28713, 11972, 32149, 11972, 67645, 15682, 5486, 117859, 112984, 75146, 107253, 29295, 110631, 16995, 47260, 101198, 120937, 103846, 5486, 106719, 58911, 124905, 116285, 9174, 14711, 106664, 16556, 78183, 117295, 115924, 103359, 107277, 104028, 220, 58942, 11972, 15024, 11972, 33541, 28713, 11972, 32149, 11972, 67645, 198, 104405, 120837, 33334, 35330, 29295, 109215, 26854, 110018, 5486, 117032, 126036, 109215, 20230, 117859, 112984, 39926, 5486, 105184, 111201, 9039, 9080, 25580, 102677, 13372, 15682, 120065, 105324, 102802, 20230, 47884, 16995, 1811, 35330, 109518, 30512, 71634, 103830, 56051, 31431, 5486, 111831, 19732, 124131, 84477, 108526, 16073, 16556, 33334, 35330, 30512, 108703, 31431, 30369, 120266, 9921, 248, 78183, 106824, 5486, 108176, 112973, 110526, 16144, 39850, 37823, 67075, 38641, 1811, 123410, 17792, 32977, 20834, 38144, 109749, 105879, 5486, 106075, 103087, 77195, 103306, 15682, 508, 97049, 71689, 5486, 53508, 231, 104195, 77181, 106075, 103087, 88367, 103082, 1811, 76622, 39926, 37271, 114225, 109215, 26854, 16937, 91875, 106518, 106529, 33563, 126194, 5486, 112424, 113468, 104736, 62004, 125398, 116718, 16144, 101427, 113, 102781, 64531, 22649, 26854, 105879, 5486, 46456, 124237, 72661, 108703, 31431, 104028, 117859, 112984, 67, 1474, 9186, 1811, 103005, 55228, 231, 111681, 16144, 114140, 126529, 119627, 5486, 103350, 104983, 104309, 15682, 5486, 110298, 13177, 107691, 100472, 102944, 43568, 107430, 10646, 116825, 109749, 33334, 35330, 29295, 80631, 107, 62004, 9174, 51330, 92776, 9080, 106075, 103087, 107118, 5486, 117859, 112984, 20230, 53610, 19732, 20834, 21980, 223, 30512, 21601, 107290, 108948, 35330, 30512, 108703, 31431, 30369, 102452, 32943, 5120, 1811, 106718, 113146, 112028, 89046, 16144, 105522, 240, 91875, 77181, 108948, 35330, 29295, 43568, 47884, 125764, 53953, 17663, 110104, 107803, 16144, 107792, 103664, 41007, 103306, 5486, 106046, 76947, 112987, 100604, 123253, 32149, 9174, 39177, 103296, 20230, 115191, 39276, 50834, 29295, 47406, 35287, 109768, 104984, 5486, 107803, 21180, 41, 123218, 42634, 107060, 20230, 40526, 103605, 114792, 103836, 17792, 103378, 15682, 5486, 102677, 108936, 9554, 15682, 57903, 79721, 29295, 89151, 50021, 103306, 33334, 35330, 30512, 108703, 31431, 79721, 1811, 104196, 111587, 30512, 71634, 103830, 56051, 31431, 114318, 111243, 110034, 107493, 104196, 122101, 35330, 109518, 77181, 5486, 115251, 15682, 101171, 227, 15024, 108176, 32149, 19732, 78698, 107800, 9174, 110219, 30512, 71634, 103830, 56051, 31431, 5486, 114734, 101513, 97518, 126036, 115289, 122279, 20230, 117859, 112984, 39926, 108948, 35330, 126694, 30369, 100909, 16144, 108608, 41007, 30512, 126362, 78434, 1811, 68759, 102750, 115247, 27384, 46034, 15682, 110371, 105933, 106592, 91763, 125167, 35330, 108703, 29295, 5486, 114225, 20230, 43568, 117859, 112984, 124905, 30297, 105908, 125545, 1811, 108031, 35330, 105226, 41007, 30512, 71289, 31431, 59739, 47884, 39926, 5486, 37656, 106624, 33334, 35330, 126694, 30369, 29504, 106382, 103306, 15682, 17792, 55031, 33334, 35330, 30512, 108703, 31431, 30369, 102420, 15682, 113949, 115191, 104309, 20230, 108948, 35330, 29295, 108703, 31431, 104028, 109215, 15682, 103283, 16144, 41007, 30512, 78698, 105262, 125231, 103351, 31431, 54926, 123253, 1811, 54926, 109335, 103082, 79721, 29295, 5486, 114667, 55031, 17701, 100472, 17792, 20230, 127105, 5486, 105994, 29295, 37271, 113871, 16325, 101983, 103836, 102944, 15682, 13177, 105525, 30369, 107803, 10646, 55031, 1811, 111482, 15682, 33334, 35330, 20230, 126920, 110482, 100472, 110018, 108948, 35330, 30512, 108703, 31431, 30369, 112772, 5486, 106046, 76947, 112987, 100604, 123253, 32149, 1811, 124373, 118639, 16556, 36149, 112, 31431, 32149, 117295, 107391, 26269, 57207, 94550, 126758, 29295, 5486, 9080, 25132, 229, 119178, 117943, 121140, 126238, 105047, 16556, 605, 110743, 30512, 11883, 37689, 54926, 17905, 48249, 107118, 108149, 110924, 16556, 127637, 29295, 42016, 103826, 20230, 58318, 105262, 117375, 48634, 16144, 119448, 30813, 29295, 114734, 108695, 103082, 79721, 1811, 38093, 82420, 54926, 102677, 104468, 5486, 107943, 24273, 20230, 127742, 16144, 37656, 102800, 101427, 113, 102781, 64531, 22649, 16325, 107118, 5486, 107391, 26269, 57207, 94550, 20230, 103129, 117295, 103378, 38641, 1811, 67645, 103171, 20230, 105465, 21105, 251, 30297, 26854, 115924, 103359, 107277, 104028, 220, 58942, 11972, 15024, 11972, 33541, 28713, 11972, 32149, 11972, 67645, 72661, 108149, 112568, 20230, 110101, 48552, 56051, 35330, 109518, 29295, 5486, 105047, 20230, 46034, 38574, 32335, 106649, 29295, 49691, 121, 67178, 26854, 39177, 102052, 103129, 32149, 104533, 91763, 61689, 1811, 15682, 106084, 16144, 126543, 114475, 76622, 5486, 114734, 101275, 30046, 20230, 102782, 15024, 104526, 104004, 107803, 105352, 120208, 16144, 126362, 29295, 103082, 38144, 5486, 125821, 103005, 106344, 72099, 20230, 109215, 126738, 35330, 30512, 108703, 31431, 110071, 45893, 30512, 121507, 54926, 101200, 9174, 88367, 39926, 47884, 106824, 61689, 105879, 108948, 117859, 112984, 109860, 33334, 35330, 29295, 109215, 16556, 33334, 107391, 26269, 57207, 94550, 31431, 106956, 102321, 103350, 30512, 117859, 112984, 54926, 41007, 107118, 108948, 35330, 29295, 109215, 26854, 17792, 102052, 85777, 106956, 48706, 38641, 1811, 102677, 121247, 16995, 115717, 33541, 105879, 5486, 113314, 16144, 120208, 121142, 103470, 5486, 103435, 116, 51609, 20230, 104774, 25197, 96452, 107446, 30512, 39926, 121410, 9080, 29295, 112008, 102800, 106046, 61689, 113637, 101083, 107809, 16556, 123726, 30369, 100909, 121906, 16556, 123207, 101908, 19732, 103283, 106824, 108948, 35330, 108703, 31431, 30369, 41007, 119703, 19732, 101790, 99, 109315, 112772, 53283, 30369, 125231, 30926, 2185, 1811, 126465, 102677, 19732, 5486, 108703, 35330, 30512, 119870, 64121, 105987, 17663, 109163, 16995, 122282, 67016, 100604, 102677, 24273, 32977, 127181, 106046, 61689, 29295, 108948, 35330, 16144, 112622, 103192, 30512, 15017, 101, 38144, 104533, 33334, 35330, 29295, 115924, 103359, 107277, 104028, 220, 58942, 11972, 15024, 11972, 33541, 28713, 11972, 32149, 11972, 67645, 109156, 30369, 9174, 46456, 124237, 102052, 109215, 64121, 104196, 111587, 121711, 33541, 29295, 5486, 108695, 16556, 115924, 103359, 107277, 104028, 220, 58942, 11972, 15024, 11972, 33541, 28713, 11972, 32149, 11972, 67645, 29295, 5486, 117859, 112984, 16144, 110631, 16995, 117734, 21990, 2185, 1811, 102923, 102332, 54926, 112973, 109755, 16995, 24273, 5486, 115552, 51385, 64209, 15682, 102131, 16995, 100472, 33334, 72516, 20230, 5486, 125396, 16144, 107693, 29295, 114715, 1811, 103846, 107898, 35330, 29295, 102717, 102800, 5486, 107803, 54926, 123218, 30512, 5486, 114363, 101275, 36668, 122924, 15682, 86127, 29295, 109215, 30512, 108703, 31431, 125639, 15024, 1811, 48154, 114053, 20230, 72406, 121, 105898, 39177, 15682, 108948, 35330, 29295, 103470, 38144, 110482, 100472, 126101, 5486, 77195, 103306, 82912, 109669, 105784, 102083, 16995, 19732, 1811, 112500, 80195, 30512, 113727, 100604, 19732, 110371, 105933, 106592, 91763, 125167, 106613, 111186, 29295, 5486, 60358, 119400, 103378, 29295, 113173, 16144, 1811, 104405, 120837, 33334, 35330, 29295, 109215, 26854, 110018, 5486, 110924, 103296, 91763, 108064, 62004, 100934, 116537, 109755, 124749, 57980, 108005, 121, 67645, 16144, 114667, 29295, 30591, 76947, 108948, 35330, 30512, 116414, 32149, 16556, 108703, 31431, 123207, 109606, 29295, 13153, 31431, 80195, 28713, 123733, 76947, 114732, 1811, 17792, 105321, 32149, 127303, 104984, 5486, 107943, 24273, 20230, 109215, 30512, 105184, 96455, 20230, 5486, 37026, 112167, 101275, 29295, 109948, 126660, 104466, 109243, 28741, 20230, 21105, 103, 29295, 33503, 108703, 125639, 30512, 109768, 105898, 16995, 1811, 108703, 35330, 66383, 39926, 66953, 44971, 29295, 45736 ]
[ 47884, 5486, 30926, 103350, 30512, 8107, 56965, 21105, 103, 117201, 10110, 103350, 104983, 20230, 42634, 107060, 16995, 103351, 29295, 7705, 91774, 112179, 123927, 30512, 5486, 114225, 33334, 35330, 30512, 24615, 120, 104699, 121894, 15682, 121771, 98369, 57903, 33541, 127211, 102769, 123410, 66383, 95604, 123017, 57903, 33541, 29295, 108948, 35330, 29295, 43568, 47884, 125764, 53953, 17663, 110104, 66953, 44971, 16144, 115924, 103359, 107277, 104028, 220, 58942, 11972, 15024, 11972, 33541, 28713, 11972, 32149, 11972, 67645, 103306, 5486, 110241, 43568, 16995, 107803, 102052, 103087, 35330, 103721, 108, 16144, 118809, 113821, 103672, 64178, 15682, 43568, 77195, 107515, 105879, 9174, 14711, 105228, 38144, 30512, 80631, 104, 47884, 13177, 115924, 103359, 107277, 104028, 220, 58942, 11972, 15024, 11972, 33541, 28713, 11972, 32149, 11972, 67645, 66383, 95604, 109755, 119467, 198, 102131, 95604, 110018, 102052, 33334, 35330, 30512, 108703, 31431, 106956, 110229, 119627, 5486, 43568, 107430, 72661, 104405, 120837, 33334, 35330, 30512, 108703, 31431, 106956, 39177, 15682, 5486, 37689, 48915, 19732, 43240, 47884, 61689, 1811, 16995, 76947, 57933, 96452, 52414, 20230, 50021, 111813, 39926, 33334, 35330, 20230, 110482, 103836, 105908, 5486, 112185, 108703, 31431, 101200, 103306, 102334, 33503, 5486, 109215, 16144, 605, 113127, 30512, 51385, 64209, 16556, 108703, 31431, 30369, 102677, 9174, 110726, 47000, 15682, 108008, 20230, 33563, 110322, 114754, 126574, 100909, 55031, 5486, 28873, 28713, 39926, 108134, 16556, 33334, 35330, 30512, 5486, 108936, 112535, 104773, 35330, 19732, 117952, 115032, 27384, 46034, 105755, 9174, 71289, 111299, 106968, 104309, 108703, 31431, 38144, 110371, 107803, 102052, 114626, 20230, 27384, 112495, 33334, 35330, 29295, 103664, 69253, 117084, 5486, 120700, 104699, 33121, 32977, 13357, 229, 35330, 104309, 102052, 112909, 20834, 30813, 100604, 104466, 39926, 72315, 101832, 9174, 33334, 35330, 29295, 43568, 16995, 126101, 48249, 76947, 5486, 118664, 16144, 48154, 107740, 15682, 119467, 16995, 106046, 126832, 24273, 15682, 5486, 92776, 9080, 33334, 35330, 30512, 110726, 39926, 124089, 51385, 64209, 26854, 110229, 30512, 126362, 15024, 1811, 113385, 30512, 110743, 121256, 29295, 5486, 126194, 55487, 115018, 30046, 30512, 107691, 30297, 120266, 120953, 120837, 104196, 109818, 118765, 1811, 19361, 105576, 117282, 98915, 107707, 116875, 108324, 99750, 5486, 64209, 20230, 126920, 89783, 116664, 107407, 16144, 19732, 100604, 16144, 19732, 77181, 5486, 67645, 103171, 117475, 120332, 55031, 33334, 35330, 30512, 108703, 31431, 28713, 105879, 109954, 32149, 9174, 51330, 35330, 60632, 15682, 111419, 126194, 5486, 77219, 26854, 80631, 107, 35330, 29295, 30591, 104984, 125144, 50338, 103470, 108008, 125545, 29295, 5486, 30926, 27452, 103283, 71289, 108703, 31431, 109033, 58942, 104309, 15682, 84389, 79721, 32149, 119520, 17, 115191, 16144, 13177, 115924, 103359, 107277, 104028, 220, 58942, 11972, 15024, 11972, 33541, 28713, 11972, 32149, 11972, 67645, 54926, 66383, 95604, 103963, 117943, 106978, 113096, 15682, 110101, 48552, 116787, 5486, 115924, 103359, 107277, 104028, 220, 58942, 11972, 15024, 11972, 33541, 28713, 11972, 32149, 11972, 67645, 32977, 45736, 102518, 111842, 117859, 112984, 30813, 77181, 5486, 67645, 103171, 17792, 105352, 108703, 35330, 109853, 15682, 120267, 20834, 21105, 98, 110706, 102944, 38641, 1811, 110101, 48552, 103378, 20230, 100927, 58942, 106956, 35330, 108703, 10, 19481, 108134, 2185, 120953, 120837, 33334, 35330, 30512, 106116, 104983, 15682, 106759, 20230, 115924, 103359, 107277, 104028, 220, 58942, 11972, 15024, 11972, 33541, 28713, 11972, 32149, 11972, 67645, 16556, 33334, 35330, 108703, 31431, 30369, 30926, 15682, 103082, 107515, 1811, 38641, 55031, 107734, 32938, 55031, 33334, 35330, 30512, 108703, 31431, 30369, 115924, 103359, 107277, 104028, 220, 58942, 11972, 15024, 11972, 33541, 28713, 11972, 32149, 11972, 67645, 15682, 5486, 114225, 107898, 35330, 30512, 108703, 31431, 30369, 30926, 29295, 108048, 26854, 112586, 16906, 111, 102800, 41007, 115991, 33541, 9174, 51330, 35330, 60632, 15682, 109215, 126194, 5486, 49792, 28190, 102052, 118789, 9554, 29295, 5486, 64531, 22649, 102677, 114305, 115991, 33541, 9174, 55031, 108703, 31431, 100934, 110101, 48552, 16144, 40862, 82420, 29295, 1041, 110743, 30512, 72404, 105262, 107803, 10646, 15682, 5486, 66378, 20230, 108703, 35330, 29295, 43240, 47884, 38144, 101427, 113, 102781, 64531, 22649, 5486, 107898, 35330, 30512, 108703, 31431, 30369, 41007, 97049, 71689, 11199, 104076, 115926, 54926, 104468, 102924, 60632, 102677, 33121, 121381, 114267, 109606, 38641, 105879, 5486, 120613, 15682, 126909, 72661, 16325, 96356, 15682, 5486, 102420, 105525, 102052, 30591, 109709, 126521, 122262, 35330, 29295, 43568, 16995, 126101, 48249, 76947, 120953, 120837, 33334, 35330, 29295, 5486, 17620, 111017, 16556, 104196, 109818, 54926, 105908, 103082, 123733, 31431, 33541, 119520, 83747, 109518, 16144, 109606, 30512, 108703, 31431, 104533, 50834, 15682, 108882, 110993, 9554, 100604, 32149, 110241, 33121, 107515, 29295, 5486, 110726, 39926, 124089, 110229, 29295, 91774, 59739, 124403, 19732, 33334, 110482, 111331, 30591, 112568, 20230, 121906, 101128, 102, 104004, 24273, 15682, 43240, 47884, 16995, 33503, 42891, 116826, 104533, 91763, 61689, 1811, 112672, 119627, 108031, 116907, 117824, 30297, 109215, 107407, 103350, 104983, 15682, 5486, 126920, 105047, 107898, 35330, 29295, 109215, 20230, 5486, 29504, 70821, 113614, 33563, 117126, 16556, 109215, 108608, 119520, 101918, 32977, 43568, 118145, 109215, 126758, 108048, 15682, 120065, 75293, 76947, 5486, 108703, 17701, 16144, 125396, 107407, 19732, 126693, 114392, 26854, 28194, 101, 48864, 35330, 30512, 96356, 20230, 47000, 105784, 1811, 114734, 39276, 16144, 108695, 102677, 104468, 5486, 77195, 26854, 80631, 107, 35330, 29295, 30591, 104984, 127408, 103470, 117271, 125545, 29295, 5486, 77181, 110589, 16144, 110631, 16995, 110229, 15682, 104405, 123253, 32149, 1811, 105047, 117201, 33334, 35330, 30512, 11883, 37689, 21105, 103, 47884, 38144, 15682, 105110, 100604, 42634, 107060, 15682, 103826, 104680, 119627, 5486, 112690, 126636, 112909, 107740, 54926, 51385, 64209, 15682, 43568, 115737, 76947, 5486, 13357, 229, 35330, 20230, 114140, 17297, 33334, 35330, 16144, 107420, 30512, 117598, 109115, 126101, 123457, 108729, 9554, 78434, 1811, 123733, 31431, 13177, 15120, 39177, 112535, 108703, 31431, 106956, 10646, 104309, 119775, 5486, 114652, 111344, 54926, 109304, 236, 114452, 102571, 16144, 117876, 16144, 71208, 29295, 5486, 104196, 111587, 16144, 59795, 107707, 107391, 26269, 57207, 94550, 16556, 102433, 20230, 53508, 231, 104195, 30512, 15024, 20230, 37507, 30369, 106901, 16073, 33710, 15682, 17620, 104196, 111587, 106556, 30512, 15024, 1811, 104405, 120837, 33334, 35330, 30512, 108703, 31431, 106956, 105879, 30591, 104984, 108948, 87177, 108608, 105908, 108948, 123011, 62004, 40265, 9080, 15682, 115191, 19732, 113838, 35330, 67645, 112384, 105352, 57903, 33541, 1811, 39880, 47260, 91062, 103378, 20230, 100927, 58942, 106956, 64209, 55487, 10, 19481, 106613, 111186, 2185, 110371, 123218, 42634, 107060, 102052, 114626, 20230, 27384, 112495, 33334, 35330, 29295, 109215, 117084, 5486, 35330, 108703, 20230, 108703, 17701, 123410, 105908, 108608, 16144, 38641, 1811, 88367, 16556, 33334, 35330, 30512, 108703, 31431, 30369, 107803, 5486, 15682, 18259, 237, 106624, 26854, 31431, 33541, 29295, 5486, 108608, 100909, 105110, 81219, 112832, 32977, 29295, 56051, 47884, 100604, 102944, 123253, 9174, 46034, 42891, 108167, 103856, 47884, 33334, 35330, 30512, 108703, 31431, 38144, 114732, 114754, 61689, 29295, 5486, 64209, 20230, 110226, 43167, 20230, 89783, 116664, 107407, 16144, 19732, 100604, 16144, 19732, 77181, 114318, 120267, 20834, 103792, 9174, 13153, 116358, 117734, 21990, 127303, 104984, 5486, 125396, 16144, 48154, 107740, 15682, 119467, 16995, 106046, 126832, 24273, 15682, 5486, 39442, 13153, 8107, 15682, 92776, 9080, 16556, 33334, 35330, 30512, 108703, 31431, 104028, 122262, 35330, 126694, 30369, 77219, 15682, 5486, 108064, 32149, 102780, 31431, 123733, 100472, 110018, 20230, 110745, 46034, 101275, 30046, 105110, 110577, 20230, 121771, 115867, 114754, 11883, 80195, 103792, 9174, 102052, 110526, 71289, 98915, 17792, 107898, 35330, 30512, 108703, 31431, 30369, 41007, 71289, 41007, 30512, 107740, 54926, 41007, 5486, 110924, 126036, 117859, 112984, 82973, 32977, 103856, 47884, 92776, 9080, 72661, 108703, 31431, 30369, 105908, 5486, 53283, 110104, 19732, 125173, 123410, 104405, 120837, 33334, 35330, 30512, 108703, 31431, 1811, 33122, 25333, 111769, 105879, 5486, 33563, 110322, 17792, 110214, 16556, 33334, 35330, 30512, 108703, 31431, 30369, 105908, 5486, 115191, 123160, 117375, 16556, 1811, 128001, 128000, 117896, 16144, 77219, 30512, 98499, 104127, 5486, 43511, 17792, 30926, 107118, 123029, 91763, 58942, 104435, 105879, 110371, 24273, 20230, 30591, 38144, 15682, 115464, 124233, 107277, 107515, 29295, 5486, 105994, 116907, 16144, 106613, 111186, 19732, 102159, 105390, 26854, 103359, 117120, 25333, 16144, 123011, 62004, 30512, 102181, 105898, 16995, 106046, 61689, 9174, 14711, 63091, 17620, 16144, 13177, 22649, 101067, 66201, 118587, 15017, 101, 38144, 17129, 109954, 198, 126843, 15682, 51330, 77219, 30512, 100204, 121710, 31431, 98499, 104004, 110229, 126328, 100204, 62004, 33541, 9174, 111344, 14, 108115, 103605, 14, 71493, 115691, 64810, 122835, 90962, 106384, 22398, 14, 22957, 107404, 16144, 102131, 36785, 25827, 21105, 97, 2434, 9331, 14, 37026, 113797, 64209, 19732, 102099, 103926, 16144, 121953, 198, 13177, 57326, 102803, 45923, 29295, 45736, 120195, 30369, 10646, 110674, 119436, 117084, 114732, 104328, 107118, 5486, 107943, 20230, 117902, 106624, 100604, 106046, 61689, 1811, 99849, 27479, 32149, 102181, 102532, 61689, 29295, 115408, 16144, 114181, 108867, 119318, 116310, 16556, 121453, 17701, 61337, 102351, 16144, 20, 111017, 104195, 29295, 102131, 95604, 34171, 35083, 114792, 76947, 108086, 5486, 64467, 106839, 30512, 103792, 103188, 39607, 16556, 110901, 30591, 5486, 113799, 109115, 106592, 96455, 74245, 20230, 101682, 76622, 82533, 62004, 102204, 100604, 117809, 122543, 66383, 112391, 30369, 109335, 127181, 38641, 1811, 105994, 116907, 29295, 117864, 47884, 102131, 95604, 117809, 103351, 113009, 89783, 82420, 20230, 112391, 33541, 9174, 28713, 19732, 116285, 5486, 113799, 109115, 110018, 104309, 20230, 86127, 116497, 104043, 36896, 105994, 15682, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 106556, 29295, 110993, 79982, 20230, 103167, 16995, 105879, 5486, 863, 110219, 863, 16144, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 29295, 118765, 105272, 66383, 32149, 36896, 117876, 16144, 106556, 29295, 110993, 79982, 20230, 103167, 16995, 114516, 26854, 105272, 66383, 32149, 36896, 114387, 114516, 15682, 123726, 100934, 95001, 112603, 126758, 66383, 32149, 78698, 107290, 115924, 103192, 109904, 95221, 17620, 101983, 107462, 79721, 9174, 102181, 50834, 20834, 39926, 64121, 104533, 78183, 107277, 33541, 29295, 5486, 120065, 66953, 71493, 125651, 1811, 27929, 32977, 27929, 32977, 121906, 95604, 105104, 30297, 20230, 13177, 105994, 15682, 115612, 26854, 114516, 66383, 91763, 103836, 100909, 37026, 33014, 29295, 5486, 102099, 103926, 29295, 104195, 16995, 100909, 16144, 66378, 17599, 112, 103351, 31431, 78434, 10110, 105994, 15682, 863, 110219, 863, 16144, 115303, 107118, 108010, 30297, 19732, 124563, 112371, 32149, 104195, 107608, 20230, 22023, 100204, 100934, 123505, 109860, 5486, 31958, 33503, 111201, 21388, 113529, 39926, 114604, 100909, 10110, 109134, 125231, 103351, 106592, 101198, 22398, 100472, 31431, 5486, 112727, 103468, 31431, 7705, 30512, 120270, 39926, 5486, 113799, 102204, 104533, 50834, 102052, 77693, 108680, 99959, 126989, 114475, 107674, 31431, 103801, 72342, 25827, 1811, 22957, 28713, 105262, 104468, 36896, 105994, 15682, 37656, 102800, 106046, 103836, 71289, 31431, 24273, 16556, 71289, 100472, 10646, 110115, 36896, 863, 110219, 863, 15682, 102131, 95604, 105104, 30297, 102052, 21105, 103, 16995, 123794, 66383, 61633, 114475, 105784, 107803, 38641, 9174, 118789, 109904, 27452, 30512, 20834, 78434, 9174, 22398, 102663, 115478, 64178, 17905, 110371, 9080, 103296, 20230, 71289, 33503, 103470, 38144, 112987, 124324, 114318, 78183, 32149, 103836, 47307, 115592, 30512, 101182, 110018, 108038, 20230, 112727, 33121, 101732, 105908, 57903, 79721, 1811, 17905, 65743, 20230, 120270, 39926, 62004, 42891, 104702, 113799, 102204, 79721, 107493, 32977, 5486, 105321, 110162, 102208, 32938, 20230, 118835, 31431, 105987, 39926, 30250, 224, 23039, 54926, 105908, 103082, 79721, 109900, 55031, 32977, 16995, 85791, 16995, 85791, 21388, 113529, 39926, 33541, 29295, 5486, 108895, 95604, 110018, 20230, 118835, 31431, 105987, 17663, 104468, 99849, 16144, 107202, 72661, 124897, 1811, 104004, 15024, 85791, 105994, 107809, 77181, 13177, 21388, 113529, 127564, 118835, 31431, 105987, 39926, 105321, 110162, 54926, 66383, 95604, 19653, 33014, 111186, 101983, 103836, 55031, 38641, 9174, 108031, 115303, 118821, 27452, 16556, 5486, 61826, 24273, 19732, 39880, 120098, 30512, 102769, 104533, 50834, 20230, 5486, 120065, 21388, 107591, 26854, 71289, 31431, 24273, 16556, 39850, 64178, 30512, 37705, 76947, 114604, 105908, 57903, 79721, 109807, 110018, 20230, 17905, 65743, 55031, 36896, 102131, 95604, 71289, 31431, 24273, 15682, 110219, 21105, 103, 16995, 25827, 110034, 32149, 66383, 64467, 112419, 114475, 107674, 16144, 119627, 115847, 15682, 108031, 5486, 108038, 20230, 99959, 39850, 38641, 1811, 105994, 77181, 37656, 102800, 106046, 113017, 71289, 31431, 24273, 16556, 71289, 100472, 110115, 99959, 39850, 103351, 105879, 36896, 105994, 15682, 108936, 40053, 109375, 29295, 102700, 106624, 124490, 76622, 100934, 114516, 113461, 66383, 108038, 20230, 45923, 103223, 103672, 102052, 17129, 76947, 103801, 61689, 109900, 123434, 115132, 120098, 30512, 102769, 30369, 100909, 114556, 39926, 15682, 37271, 72661, 110993, 79982, 20230, 107202, 46034, 38641, 10110, 33334, 113351, 108631, 47884, 109020, 123505, 37271, 123927, 104196, 76947, 105994, 26854, 112586, 112391, 100934, 104468, 115408, 107809, 102052, 198, 863, 110219, 863, 102677, 22649, 101067, 66201, 107407, 102677, 100909, 38641, 1811, 108936, 40053, 109375, 20230, 101544, 76622, 100481, 38144, 5486, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 106556, 29295, 45736, 47884, 38144, 5486, 112832, 55031, 32977, 103926, 116216, 5486, 32149, 59739, 58426, 106592, 118694, 112649, 76622, 101860, 5486, 108064, 32977, 31958, 30369, 47884, 102717, 29295, 33503, 32149, 16556, 120208, 16144, 104712, 115303, 14382, 102181, 50834, 20834, 39926, 64121, 104533, 102717, 127842, 103732, 47884, 78183, 107277, 33541, 29295, 5486, 220, 107943, 17792, 16995, 107515, 15024, 110745, 102769, 26854, 98915, 104067, 71289, 103926, 17663, 125231, 42016, 59999, 248, 32977, 110745, 116875, 16995, 85791, 103171 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 47884, 5486, 30926, 103350, 30512, 8107, 56965, 21105, 103, 117201, 10110, 103350, 104983, 20230, 42634, 107060, 16995, 103351, 29295, 7705, 91774, 112179, 123927, 30512, 5486, 114225, 33334, 35330, 30512, 24615, 120, 104699, 121894, 15682, 121771, 98369, 57903, 33541, 127211, 102769, 123410, 66383, 95604, 123017, 57903, 33541, 29295, 108948, 35330, 29295, 43568, 47884, 125764, 53953, 17663, 110104, 66953, 44971, 16144, 115924, 103359, 107277, 104028, 220, 58942, 11972, 15024, 11972, 33541, 28713, 11972, 32149, 11972, 67645, 103306, 5486, 110241, 43568, 16995, 107803, 102052, 103087, 35330, 103721, 108, 16144, 118809, 113821, 103672, 64178, 15682, 43568, 77195, 107515, 105879, 9174, 14711, 105228, 38144, 30512, 80631, 104, 47884, 13177, 115924, 103359, 107277, 104028, 220, 58942, 11972, 15024, 11972, 33541, 28713, 11972, 32149, 11972, 67645, 66383, 95604, 109755, 119467, 198, 102131, 95604, 110018, 102052, 33334, 35330, 30512, 108703, 31431, 106956, 110229, 119627, 5486, 43568, 107430, 72661, 104405, 120837, 33334, 35330, 30512, 108703, 31431, 106956, 39177, 15682, 5486, 37689, 48915, 19732, 43240, 47884, 61689, 1811, 16995, 76947, 57933, 96452, 52414, 20230, 50021, 111813, 39926, 33334, 35330, 20230, 110482, 103836, 105908, 5486, 112185, 108703, 31431, 101200, 103306, 102334, 33503, 5486, 109215, 16144, 605, 113127, 30512, 51385, 64209, 16556, 108703, 31431, 30369, 102677, 9174, 110726, 47000, 15682, 108008, 20230, 33563, 110322, 114754, 126574, 100909, 55031, 5486, 28873, 28713, 39926, 108134, 16556, 33334, 35330, 30512, 5486, 108936, 112535, 104773, 35330, 19732, 117952, 115032, 27384, 46034, 105755, 9174, 71289, 111299, 106968, 104309, 108703, 31431, 38144, 110371, 107803, 102052, 114626, 20230, 27384, 112495, 33334, 35330, 29295, 103664, 69253, 117084, 5486, 120700, 104699, 33121, 32977, 13357, 229, 35330, 104309, 102052, 112909, 20834, 30813, 100604, 104466, 39926, 72315, 101832, 9174, 33334, 35330, 29295, 43568, 16995, 126101, 48249, 76947, 5486, 118664, 16144, 48154, 107740, 15682, 119467, 16995, 106046, 126832, 24273, 15682, 5486, 92776, 9080, 33334, 35330, 30512, 110726, 39926, 124089, 51385, 64209, 26854, 110229, 30512, 126362, 15024, 1811, 113385, 30512, 110743, 121256, 29295, 5486, 126194, 55487, 115018, 30046, 30512, 107691, 30297, 120266, 120953, 120837, 104196, 109818, 118765, 1811, 19361, 105576, 117282, 98915, 107707, 116875, 108324, 99750, 5486, 64209, 20230, 126920, 89783, 116664, 107407, 16144, 19732, 100604, 16144, 19732, 77181, 5486, 67645, 103171, 117475, 120332, 55031, 33334, 35330, 30512, 108703, 31431, 28713, 105879, 109954, 32149, 9174, 51330, 35330, 60632, 15682, 111419, 126194, 5486, 77219, 26854, 80631, 107, 35330, 29295, 30591, 104984, 125144, 50338, 103470, 108008, 125545, 29295, 5486, 30926, 27452, 103283, 71289, 108703, 31431, 109033, 58942, 104309, 15682, 84389, 79721, 32149, 119520, 17, 115191, 16144, 13177, 115924, 103359, 107277, 104028, 220, 58942, 11972, 15024, 11972, 33541, 28713, 11972, 32149, 11972, 67645, 54926, 66383, 95604, 103963, 117943, 106978, 113096, 15682, 110101, 48552, 116787, 5486, 115924, 103359, 107277, 104028, 220, 58942, 11972, 15024, 11972, 33541, 28713, 11972, 32149, 11972, 67645, 32977, 45736, 102518, 111842, 117859, 112984, 30813, 77181, 5486, 67645, 103171, 17792, 105352, 108703, 35330, 109853, 15682, 120267, 20834, 21105, 98, 110706, 102944, 38641, 1811, 110101, 48552, 103378, 20230, 100927, 58942, 106956, 35330, 108703, 10, 19481, 108134, 2185, 120953, 120837, 33334, 35330, 30512, 106116, 104983, 15682, 106759, 20230, 115924, 103359, 107277, 104028, 220, 58942, 11972, 15024, 11972, 33541, 28713, 11972, 32149, 11972, 67645, 16556, 33334, 35330, 108703, 31431, 30369, 30926, 15682, 103082, 107515, 1811, 38641, 55031, 107734, 32938, 55031, 33334, 35330, 30512, 108703, 31431, 30369, 115924, 103359, 107277, 104028, 220, 58942, 11972, 15024, 11972, 33541, 28713, 11972, 32149, 11972, 67645, 15682, 5486, 114225, 107898, 35330, 30512, 108703, 31431, 30369, 30926, 29295, 108048, 26854, 112586, 16906, 111, 102800, 41007, 115991, 33541, 9174, 51330, 35330, 60632, 15682, 109215, 126194, 5486, 49792, 28190, 102052, 118789, 9554, 29295, 5486, 64531, 22649, 102677, 114305, 115991, 33541, 9174, 55031, 108703, 31431, 100934, 110101, 48552, 16144, 40862, 82420, 29295, 1041, 110743, 30512, 72404, 105262, 107803, 10646, 15682, 5486, 66378, 20230, 108703, 35330, 29295, 43240, 47884, 38144, 101427, 113, 102781, 64531, 22649, 5486, 107898, 35330, 30512, 108703, 31431, 30369, 41007, 97049, 71689, 11199, 104076, 115926, 54926, 104468, 102924, 60632, 102677, 33121, 121381, 114267, 109606, 38641, 105879, 5486, 120613, 15682, 126909, 72661, 16325, 96356, 15682, 5486, 102420, 105525, 102052, 30591, 109709, 126521, 122262, 35330, 29295, 43568, 16995, 126101, 48249, 76947, 120953, 120837, 33334, 35330, 29295, 5486, 17620, 111017, 16556, 104196, 109818, 54926, 105908, 103082, 123733, 31431, 33541, 119520, 83747, 109518, 16144, 109606, 30512, 108703, 31431, 104533, 50834, 15682, 108882, 110993, 9554, 100604, 32149, 110241, 33121, 107515, 29295, 5486, 110726, 39926, 124089, 110229, 29295, 91774, 59739, 124403, 19732, 33334, 110482, 111331, 30591, 112568, 20230, 121906, 101128, 102, 104004, 24273, 15682, 43240, 47884, 16995, 33503, 42891, 116826, 104533, 91763, 61689, 1811, 112672, 119627, 108031, 116907, 117824, 30297, 109215, 107407, 103350, 104983, 15682, 5486, 126920, 105047, 107898, 35330, 29295, 109215, 20230, 5486, 29504, 70821, 113614, 33563, 117126, 16556, 109215, 108608, 119520, 101918, 32977, 43568, 118145, 109215, 126758, 108048, 15682, 120065, 75293, 76947, 5486, 108703, 17701, 16144, 125396, 107407, 19732, 126693, 114392, 26854, 28194, 101, 48864, 35330, 30512, 96356, 20230, 47000, 105784, 1811, 114734, 39276, 16144, 108695, 102677, 104468, 5486, 77195, 26854, 80631, 107, 35330, 29295, 30591, 104984, 127408, 103470, 117271, 125545, 29295, 5486, 77181, 110589, 16144, 110631, 16995, 110229, 15682, 104405, 123253, 32149, 1811, 105047, 117201, 33334, 35330, 30512, 11883, 37689, 21105, 103, 47884, 38144, 15682, 105110, 100604, 42634, 107060, 15682, 103826, 104680, 119627, 5486, 112690, 126636, 112909, 107740, 54926, 51385, 64209, 15682, 43568, 115737, 76947, 5486, 13357, 229, 35330, 20230, 114140, 17297, 33334, 35330, 16144, 107420, 30512, 117598, 109115, 126101, 123457, 108729, 9554, 78434, 1811, 123733, 31431, 13177, 15120, 39177, 112535, 108703, 31431, 106956, 10646, 104309, 119775, 5486, 114652, 111344, 54926, 109304, 236, 114452, 102571, 16144, 117876, 16144, 71208, 29295, 5486, 104196, 111587, 16144, 59795, 107707, 107391, 26269, 57207, 94550, 16556, 102433, 20230, 53508, 231, 104195, 30512, 15024, 20230, 37507, 30369, 106901, 16073, 33710, 15682, 17620, 104196, 111587, 106556, 30512, 15024, 1811, 104405, 120837, 33334, 35330, 30512, 108703, 31431, 106956, 105879, 30591, 104984, 108948, 87177, 108608, 105908, 108948, 123011, 62004, 40265, 9080, 15682, 115191, 19732, 113838, 35330, 67645, 112384, 105352, 57903, 33541, 1811, 39880, 47260, 91062, 103378, 20230, 100927, 58942, 106956, 64209, 55487, 10, 19481, 106613, 111186, 2185, 110371, 123218, 42634, 107060, 102052, 114626, 20230, 27384, 112495, 33334, 35330, 29295, 109215, 117084, 5486, 35330, 108703, 20230, 108703, 17701, 123410, 105908, 108608, 16144, 38641, 1811, 88367, 16556, 33334, 35330, 30512, 108703, 31431, 30369, 107803, 5486, 15682, 18259, 237, 106624, 26854, 31431, 33541, 29295, 5486, 108608, 100909, 105110, 81219, 112832, 32977, 29295, 56051, 47884, 100604, 102944, 123253, 9174, 46034, 42891, 108167, 103856, 47884, 33334, 35330, 30512, 108703, 31431, 38144, 114732, 114754, 61689, 29295, 5486, 64209, 20230, 110226, 43167, 20230, 89783, 116664, 107407, 16144, 19732, 100604, 16144, 19732, 77181, 114318, 120267, 20834, 103792, 9174, 13153, 116358, 117734, 21990, 127303, 104984, 5486, 125396, 16144, 48154, 107740, 15682, 119467, 16995, 106046, 126832, 24273, 15682, 5486, 39442, 13153, 8107, 15682, 92776, 9080, 16556, 33334, 35330, 30512, 108703, 31431, 104028, 122262, 35330, 126694, 30369, 77219, 15682, 5486, 108064, 32149, 102780, 31431, 123733, 100472, 110018, 20230, 110745, 46034, 101275, 30046, 105110, 110577, 20230, 121771, 115867, 114754, 11883, 80195, 103792, 9174, 102052, 110526, 71289, 98915, 17792, 107898, 35330, 30512, 108703, 31431, 30369, 41007, 71289, 41007, 30512, 107740, 54926, 41007, 5486, 110924, 126036, 117859, 112984, 82973, 32977, 103856, 47884, 92776, 9080, 72661, 108703, 31431, 30369, 105908, 5486, 53283, 110104, 19732, 125173, 123410, 104405, 120837, 33334, 35330, 30512, 108703, 31431, 1811, 33122, 25333, 111769, 105879, 5486, 33563, 110322, 17792, 110214, 16556, 33334, 35330, 30512, 108703, 31431, 30369, 105908, 5486, 115191, 123160, 117375, 16556, 1811, 128001, 128000, 117896, 16144, 77219, 30512, 98499, 104127, 5486, 43511, 17792, 30926, 107118, 123029, 91763, 58942, 104435, 105879, 110371, 24273, 20230, 30591, 38144, 15682, 115464, 124233, 107277, 107515, 29295, 5486, 105994, 116907, 16144, 106613, 111186, 19732, 102159, 105390, 26854, 103359, 117120, 25333, 16144, 123011, 62004, 30512, 102181, 105898, 16995, 106046, 61689, 9174, 14711, 63091, 17620, 16144, 13177, 22649, 101067, 66201, 118587, 15017, 101, 38144, 17129, 109954, 198, 126843, 15682, 51330, 77219, 30512, 100204, 121710, 31431, 98499, 104004, 110229, 126328, 100204, 62004, 33541, 9174, 111344, 14, 108115, 103605, 14, 71493, 115691, 64810, 122835, 90962, 106384, 22398, 14, 22957, 107404, 16144, 102131, 36785, 25827, 21105, 97, 2434, 9331, 14, 37026, 113797, 64209, 19732, 102099, 103926, 16144, 121953, 198, 13177, 57326, 102803, 45923, 29295, 45736, 120195, 30369, 10646, 110674, 119436, 117084, 114732, 104328, 107118, 5486, 107943, 20230, 117902, 106624, 100604, 106046, 61689, 1811, 99849, 27479, 32149, 102181, 102532, 61689, 29295, 115408, 16144, 114181, 108867, 119318, 116310, 16556, 121453, 17701, 61337, 102351, 16144, 20, 111017, 104195, 29295, 102131, 95604, 34171, 35083, 114792, 76947, 108086, 5486, 64467, 106839, 30512, 103792, 103188, 39607, 16556, 110901, 30591, 5486, 113799, 109115, 106592, 96455, 74245, 20230, 101682, 76622, 82533, 62004, 102204, 100604, 117809, 122543, 66383, 112391, 30369, 109335, 127181, 38641, 1811, 105994, 116907, 29295, 117864, 47884, 102131, 95604, 117809, 103351, 113009, 89783, 82420, 20230, 112391, 33541, 9174, 28713, 19732, 116285, 5486, 113799, 109115, 110018, 104309, 20230, 86127, 116497, 104043, 36896, 105994, 15682, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 106556, 29295, 110993, 79982, 20230, 103167, 16995, 105879, 5486, 863, 110219, 863, 16144, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 29295, 118765, 105272, 66383, 32149, 36896, 117876, 16144, 106556, 29295, 110993, 79982, 20230, 103167, 16995, 114516, 26854, 105272, 66383, 32149, 36896, 114387, 114516, 15682, 123726, 100934, 95001, 112603, 126758, 66383, 32149, 78698, 107290, 115924, 103192, 109904, 95221, 17620, 101983, 107462, 79721, 9174, 102181, 50834, 20834, 39926, 64121, 104533, 78183, 107277, 33541, 29295, 5486, 120065, 66953, 71493, 125651, 1811, 27929, 32977, 27929, 32977, 121906, 95604, 105104, 30297, 20230, 13177, 105994, 15682, 115612, 26854, 114516, 66383, 91763, 103836, 100909, 37026, 33014, 29295, 5486, 102099, 103926, 29295, 104195, 16995, 100909, 16144, 66378, 17599, 112, 103351, 31431, 78434, 10110, 105994, 15682, 863, 110219, 863, 16144, 115303, 107118, 108010, 30297, 19732, 124563, 112371, 32149, 104195, 107608, 20230, 22023, 100204, 100934, 123505, 109860, 5486, 31958, 33503, 111201, 21388, 113529, 39926, 114604, 100909, 10110, 109134, 125231, 103351, 106592, 101198, 22398, 100472, 31431, 5486, 112727, 103468, 31431, 7705, 30512, 120270, 39926, 5486, 113799, 102204, 104533, 50834, 102052, 77693, 108680, 99959, 126989, 114475, 107674, 31431, 103801, 72342, 25827, 1811, 22957, 28713, 105262, 104468, 36896, 105994, 15682, 37656, 102800, 106046, 103836, 71289, 31431, 24273, 16556, 71289, 100472, 10646, 110115, 36896, 863, 110219, 863, 15682, 102131, 95604, 105104, 30297, 102052, 21105, 103, 16995, 123794, 66383, 61633, 114475, 105784, 107803, 38641, 9174, 118789, 109904, 27452, 30512, 20834, 78434, 9174, 22398, 102663, 115478, 64178, 17905, 110371, 9080, 103296, 20230, 71289, 33503, 103470, 38144, 112987, 124324, 114318, 78183, 32149, 103836, 47307, 115592, 30512, 101182, 110018, 108038, 20230, 112727, 33121, 101732, 105908, 57903, 79721, 1811, 17905, 65743, 20230, 120270, 39926, 62004, 42891, 104702, 113799, 102204, 79721, 107493, 32977, 5486, 105321, 110162, 102208, 32938, 20230, 118835, 31431, 105987, 39926, 30250, 224, 23039, 54926, 105908, 103082, 79721, 109900, 55031, 32977, 16995, 85791, 16995, 85791, 21388, 113529, 39926, 33541, 29295, 5486, 108895, 95604, 110018, 20230, 118835, 31431, 105987, 17663, 104468, 99849, 16144, 107202, 72661, 124897, 1811, 104004, 15024, 85791, 105994, 107809, 77181, 13177, 21388, 113529, 127564, 118835, 31431, 105987, 39926, 105321, 110162, 54926, 66383, 95604, 19653, 33014, 111186, 101983, 103836, 55031, 38641, 9174, 108031, 115303, 118821, 27452, 16556, 5486, 61826, 24273, 19732, 39880, 120098, 30512, 102769, 104533, 50834, 20230, 5486, 120065, 21388, 107591, 26854, 71289, 31431, 24273, 16556, 39850, 64178, 30512, 37705, 76947, 114604, 105908, 57903, 79721, 109807, 110018, 20230, 17905, 65743, 55031, 36896, 102131, 95604, 71289, 31431, 24273, 15682, 110219, 21105, 103, 16995, 25827, 110034, 32149, 66383, 64467, 112419, 114475, 107674, 16144, 119627, 115847, 15682, 108031, 5486, 108038, 20230, 99959, 39850, 38641, 1811, 105994, 77181, 37656, 102800, 106046, 113017, 71289, 31431, 24273, 16556, 71289, 100472, 110115, 99959, 39850, 103351, 105879, 36896, 105994, 15682, 108936, 40053, 109375, 29295, 102700, 106624, 124490, 76622, 100934, 114516, 113461, 66383, 108038, 20230, 45923, 103223, 103672, 102052, 17129, 76947, 103801, 61689, 109900, 123434, 115132, 120098, 30512, 102769, 30369, 100909, 114556, 39926, 15682, 37271, 72661, 110993, 79982, 20230, 107202, 46034, 38641, 10110, 33334, 113351, 108631, 47884, 109020, 123505, 37271, 123927, 104196, 76947, 105994, 26854, 112586, 112391, 100934, 104468, 115408, 107809, 102052, 198, 863, 110219, 863, 102677, 22649, 101067, 66201, 107407, 102677, 100909, 38641, 1811, 108936, 40053, 109375, 20230, 101544, 76622, 100481, 38144, 5486, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 106556, 29295, 45736, 47884, 38144, 5486, 112832, 55031, 32977, 103926, 116216, 5486, 32149, 59739, 58426, 106592, 118694, 112649, 76622, 101860, 5486, 108064, 32977, 31958, 30369, 47884, 102717, 29295, 33503, 32149, 16556, 120208, 16144, 104712, 115303, 14382, 102181, 50834, 20834, 39926, 64121, 104533, 102717, 127842, 103732, 47884, 78183, 107277, 33541, 29295, 5486, 220, 107943, 17792, 16995, 107515, 15024, 110745, 102769, 26854, 98915, 104067, 71289, 103926, 17663, 125231, 42016, 59999, 248, 32977, 110745, 116875, 16995, 85791, 103171 ]
[ 124490, 28542, 30512, 108623, 107290, 33541, 29295, 106116, 118733, 103031, 120577, 95001, 112603, 29295, 17297, 29295, 100472, 31431, 21105, 103, 16995, 38641, 9174, 13177, 102099, 103926, 16144, 104195, 16995, 17792, 66383, 95604, 104468, 5486, 120065, 125144, 50338, 84389, 29295, 43514, 119627, 36896, 105994, 20230, 110631, 16995, 17792, 117503, 100909, 77181, 124897, 66327, 105994, 15682, 22649, 101067, 109904, 105994, 103195, 125231, 66383, 107608, 47884, 22023, 100204, 100481, 38144, 36896, 102131, 16556, 100604, 105994, 20230, 95001, 112603, 120937, 66383, 91763, 103836, 107707, 100909, 38641, 1811, 22649, 101067, 66201, 20230, 107608, 116043, 54926, 16144, 30512, 71289, 107436, 36896, 124490, 28542, 36785, 33503, 76622, 16144, 105994, 30512, 104736, 62004, 5486, 103926, 54926, 100909, 10646, 55031, 122617, 29295, 27704, 109709, 33541, 9174, 14711, 107964, 243, 101128, 116, 29295, 54926, 39177, 15682, 108324, 127408, 117434, 30512, 198, 127880, 126513, 5486, 21388, 113529, 56051, 74482, 102677, 126036, 13177, 53900, 21388, 113529, 54926, 25827, 110034, 32149, 66383, 95604, 114284, 16144, 104195, 16995, 126101, 5486, 91875, 101128, 116, 29295, 82533, 17129, 110104, 102677, 105908, 57903, 5486, 61337, 32943, 71493, 115691, 64810, 109554, 16144, 105408, 20230, 50021, 111813, 56051, 110229, 5486, 32943, 70626, 16556, 108324, 127408, 117434, 10110, 37823, 38248, 120, 7705, 30512, 117120, 24273, 120837, 33503, 30297, 106592, 100927, 107290, 32977, 110706, 79721, 1811, 103350, 104983, 20230, 32943, 70626, 114475, 120761, 39926, 64121, 28713, 16144, 119627, 36896, 127408, 26854, 39177, 5486, 91875, 101128, 116, 29295, 54926, 66383, 112825, 110904, 20230, 108044, 58942, 104533, 5486, 114225, 117120, 24273, 120837, 33503, 58942, 79721, 1811, 64209, 109519, 32943, 70626, 120650, 47884, 104468, 120065, 102040, 65575, 33710, 29295, 126574, 106046, 103836, 17792, 105352, 33334, 125683, 62004, 38641, 9174, 32977, 43514, 85791, 25827, 17792, 103732, 104533, 91763, 30297, 105879, 33334, 103242, 30046, 115867, 122225, 30512, 121755, 117201, 102717, 102800, 16144, 119627, 110371, 117434, 107407, 19732, 126920, 105465, 38641, 66327, 69978, 103836, 66383, 91763, 30297, 121142, 51385, 64209, 32977, 108608, 105879, 33334, 125683, 62004, 78434, 9174, 14711, 45631, 104736, 53283, 16144, 15722, 103, 64121, 118587, 37026, 112854, 119607, 198, 120065, 113799, 102204, 90620, 76622, 16556, 13177, 122571, 123726, 100934, 95001, 112603, 126758, 114516, 113461, 66383, 103296, 45923, 103223, 103672, 102052, 17129, 76947, 114732, 104328, 107118, 5486, 120065, 104736, 53283, 29295, 15722, 103, 64121, 29295, 43514, 38641, 9174, 104736, 53283, 29295, 15722, 103, 64121, 29295, 43514, 26854, 110993, 79982, 26854, 115303, 10110, 80805, 38248, 121, 96452, 37823, 103906, 11972, 108502, 104698, 29295, 161, 19044, 110731, 101402, 8676, 108, 71005, 104309, 7705, 30512, 105994, 116749, 20230, 114284, 111179, 32149, 115694, 64121, 104533, 5486, 104736, 53283, 29295, 15722, 103, 104127, 30369, 121894, 102677, 104468, 25197, 126989, 15024, 126172, 16995, 38641, 1811, 107943, 120065, 56051, 118733, 5486, 107943, 20230, 120175, 104526, 104004, 26854, 57980, 11972, 6447, 19732, 104584, 42891, 121423, 28713, 115737, 104533, 91763, 61689, 9174, 80673, 22656, 116537, 102334, 76947, 27384, 89151, 28190, 30832, 20230, 120175, 104526, 126559, 113334, 16556, 115847, 30512, 100543, 107, 37656, 54926, 41007, 119627, 5486, 117382, 105352, 126362, 121256, 29295, 117896, 16144, 116229, 29295, 126920, 103846, 115717, 33541, 9174, 127880, 126513, 124563, 112649, 64209, 55487, 30926, 71289, 101128, 102, 64121, 30926, 16556, 125456, 29295, 45923, 103223, 103672, 102052, 109709, 27704, 109013, 110018, 15682, 36896, 15682, 6447, 16995, 17129, 15722, 103, 104127, 30369, 76864, 19732, 95221, 109669, 50834, 36896, 104736, 53283, 16144, 15722, 103, 64121, 11972, 76864, 19732, 105424, 104127, 119448, 47884, 110137, 102802, 30512, 39926, 45923, 103223, 103672, 55031, 113487, 76622, 121406, 25197, 126989, 123410, 120266, 121256, 118844, 30512, 104736, 53283, 16144, 15722, 103, 64121, 33014, 106121, 19732, 105324, 104127, 61689, 9174, 107943, 119389, 16556, 103242, 109519, 109904, 39880, 44971, 32977, 26854, 105352, 100604, 27452, 15682, 30813, 38144, 33334, 50834, 36896, 22957, 85701, 25827, 10646, 15682, 117475, 107898, 125683, 62004, 26854, 105879, 112371, 104328, 125338, 64121, 38144, 72315, 9174, 14711, 102362, 16144, 118146, 95221, 117657, 16144, 30512, 71289, 62004, 17129, 109954, 198, 123514, 20, 8107, 21990, 16144, 110018, 124563, 112371, 102131, 119607, 106046, 100472, 104865, 78183, 107277, 107515, 29295, 5486, 117401, 75267, 16556, 60868, 125135, 30512, 103792, 118374, 122416, 16144, 124180, 10110, 127880, 104575, 77181, 40265, 39177, 5486, 11881, 120, 105677, 64121, 20230, 60868, 125135, 5486, 118809, 102663, 123410, 104468, 118374, 116771, 16556, 114083, 15682, 103854, 118821, 109739, 102802, 30512, 109768, 79721, 7705, 20230, 113938, 17129, 112371, 111243, 33503, 30297, 5486, 102677, 105908, 68759, 25197, 52884, 103202, 110276, 110018, 115991, 79721, 119520, 122571, 115924, 103192, 109904, 103296, 20230, 117401, 79785, 101576, 112, 26854, 105879, 5486, 22957, 107404, 114652, 101682, 76622, 17701, 106824, 122396, 124180, 16144, 39850, 127058, 20230, 109440, 115461, 119707, 76622, 17129, 109749, 113334, 38641, 9174, 101182, 9080, 123334, 112043, 31431, 72342, 42891, 32149, 47884, 17129, 78183, 120837, 33503, 100472, 80805, 22398, 29295, 17905, 124475, 101682, 76622, 102204, 101860, 109440, 115461, 119707, 107441, 120175, 104526, 104127, 36896, 86127, 116898, 100604, 118881, 29295, 104712, 123794, 14382, 10646, 19732, 112361, 124180, 16144, 118374, 20230, 87177, 127564, 106116, 124863, 13177, 105994, 29295, 105465, 21105, 239, 104984, 108048, 16556, 104712, 102189, 57980, 66383, 95604, 112690, 30512, 120700, 79721, 9174, 58426, 112690, 29295, 115408, 107809, 77181, 101860, 104043, 33334, 106154, 111331, 104466, 119883, 16995, 100481, 38144, 5486, 115924, 103192, 21105, 234, 43514, 26854, 17792, 21990, 107809, 16556, 46456, 58942, 117084, 61689, 9174, 127880, 56051, 105908, 109440, 115461, 119707, 107441, 114604, 32149, 121061, 5486, 32977, 67016, 127564, 115389, 78183, 106824, 114604, 32149, 121061, 115408, 105321, 121867, 100604, 118881, 29295, 104712, 104865, 121061, 114318, 107707, 118146, 95221, 116446, 122416, 107991, 116537, 5486, 31634, 15682, 115364, 100909, 67016, 113727, 100481, 107515, 66327, 86127, 5486, 100990, 118, 114758, 91006, 19732, 64803, 103070, 39177, 16325, 5486, 43511, 124911, 20230, 50834, 102532, 17129, 78183, 103836, 105933, 102944, 38641, 9174, 107943, 100909, 105755, 36896, 115690, 5486, 105465, 102800, 26854, 30591, 66383, 5486, 105994, 116907, 16144, 120208, 30512, 27384, 30926, 117657, 105908, 126843, 99849, 126036, 27384, 102769, 38641, 1811, 102131, 127564, 5486, 50834, 104043, 86127, 125030, 76947, 16144, 107461, 118517, 115247, 30591, 117255, 119775, 5486, 127177, 112832, 111201, 19732, 114598, 27384, 102769, 26854, 48706, 101983, 104028, 106046, 61689, 1811, 128001, 128000, 12, 10884, 25, 220, 1114, 198, 12, 5195, 10, 15, 198, 12, 7228, 198, 679, 18, 116358, 29504, 89046, 116581, 109421, 105617, 10110, 108152, 78683, 64810, 52591, 7705, 19732, 29504, 80195, 106222, 118788, 9458, 113073, 109606, 121224, 16144, 104873, 112984, 103732, 104533, 111476, 102433, 117255, 84844, 16144, 13177, 125098, 27479, 10646, 15682, 61826, 103130, 34617, 20713, 71493, 29504, 16325, 60596, 25129, 115132, 125581, 77181, 16, 25129, 115287, 118844, 15682, 104662, 39926, 103167, 16995, 110480, 25129, 111769, 9174, 80673, 5486, 104575, 16144, 16995, 100204, 62004, 109606, 71289, 5486, 101662, 116581, 54322, 77062, 226, 5486, 116581, 109421, 84264, 238, 75293, 104309, 5486, 45829, 67645, 32977, 30512, 62004, 104699, 30369, 116292, 102800, 118331, 61398, 30512, 108870, 117657, 28713, 102802, 20230, 5486, 28873, 28713, 39926, 45829, 101662, 38144, 101083, 31640, 113115, 54926, 60868, 121057, 30512, 5486, 106222, 71289, 29504, 29295, 50834, 43514, 127842, 28873, 28713, 103792, 104865, 19732, 107750, 99397, 20230, 91763, 30297, 115789, 127181, 66327, 15120, 117913, 114050, 76706, 109526, 235, 106222, 66383, 16995, 116285, 104655, 22957, 58942, 15682, 104712, 29295, 5486, 45829, 101662, 38144, 101083, 31640, 71289, 45829, 67645, 32977, 105459, 125030, 76947, 13177, 123726, 126172, 16995, 29504, 66383, 15682, 67645, 103171, 102944, 26854, 120900, 32149, 9174, 110924, 16556, 37271, 18904, 15682, 123085, 9458, 25197, 104603, 112997, 9458, 52591, 93488, 117718, 46091, 2845, 113, 29504, 16556, 100525, 232, 101310, 254, 120740, 20834, 106518, 120740, 101662, 116581, 30512, 106613, 111186, 56051, 111482, 16144, 76739, 26269, 64810, 25197, 30512, 126362, 119607, 119150, 1811, 109453, 29295, 106613, 111186, 56051, 109335, 13177, 102159, 107707, 106613, 111186, 10646, 127303, 76947, 5486, 37087, 38144, 124911, 20230, 40265, 38144, 15682, 115464, 113334, 111769, 29295, 36896, 45829, 101662, 38144, 15024, 126172, 16995, 106222, 109669, 47884, 31431, 117503, 107461, 52414, 29295, 114392, 20230, 50520, 108, 117864, 15120, 119752, 103195, 125939, 123085, 16556, 45829, 101662, 38144, 20230, 28194, 106, 119895, 103792, 101908, 122924, 107898, 125683, 62004, 26854, 104468, 32977, 43514, 85791, 25827, 5486, 111656, 104503, 103760, 101083, 31640, 71289, 33563, 101662, 116690, 30046, 5486, 104575, 116690, 30046, 104309, 5486, 127032, 20230, 108826, 30369, 17792, 102052, 112371, 104328, 98499, 25827, 72661, 33503, 102334, 16995, 22656, 103195, 9174, 11144, 102700, 30046, 126362, 11199, 103013, 245, 34048, 42579, 117, 45829, 43444, 58426, 103854, 18049, 230, 30297, 22957, 23954, 5162, 20, 8107, 116622, 21990, 123606, 1811, 106711, 109076, 58850, 106424, 102667, 120284, 48864, 70626, 124305, 101275, 74482, 5486, 108285, 58655, 113551, 72516, 20230, 81258, 107430, 1811, 220, 56906, 107430, 74482, 5486, 33035, 117735, 71289, 83947, 38093, 87177, 104575, 114341, 104599, 123410, 26854, 32149, 5486, 103983, 45829, 30512, 20834, 106518, 1811, 220, 2550, 23, 8107, 5486, 101908, 16144, 108436, 114731, 20230, 112183, 16995, 110968, 83947, 1811, 106135, 45829, 30512, 20834, 106518, 1811, 220, 1049, 16, 8107, 5486, 110968, 6271, 237, 1811, 109790, 45829, 30512, 20834, 106518, 1811, 220, 1049, 18, 8107, 5486, 112454, 29504, 1811, 101961, 71208, 41920, 58850, 16144, 103760, 1811, 109203, 113569, 23530, 19000, 101987, 9174, 22656, 20230, 102181, 32149, 115032, 44915, 29295, 115515, 77181, 114715, 102491, 115737, 76947, 103801, 103836, 112973, 114715, 108618, 104611, 109846, 5486, 45829, 101662, 38144, 106581, 16144, 108010, 119178, 109076, 115461, 108064, 59739, 32977, 5486, 25580, 70141, 50834, 20230, 28194, 106, 119895, 54926, 50667, 96356, 27384, 16144, 103760, 106759, 104023, 102700, 112919, 110783, 29295, 55999, 99750, 108608, 9174, 122270, 115847, 15682, 22656, 102700, 16144, 22656, 104482, 107118, 108901, 109020, 120900, 29295, 112160, 119752, 30512, 33035, 39926, 5486, 102700, 30046, 29295, 102433, 52118, 25197, 104603, 112997, 52118, 52591, 119930, 78699, 17129, 47884, 117501, 20230, 109431, 106608, 109768, 47884, 103826, 45829, 29295, 17885, 118, 105262, 28542, 32977, 28190, 101828, 16995, 1811, 66378, 20230, 5486, 52591, 119930, 77181, 5486, 52591, 119930, 102158, 118006, 100927, 104599, 105988, 114483, 33710, 19732, 13177, 45829, 101662, 38144, 104760, 105242, 66953, 127764, 118587, 103721, 108, 31431, 108285, 102639, 30369, 30591, 115926, 105321, 32149, 15682, 5486, 52591, 119930, 17792, 33208, 103792, 26854, 108861, 106046, 100472, 9174, 51330, 22656, 30512, 102181, 108895, 106046, 100472, 114667, 10110, 88852, 123213, 102700, 113487, 90397, 233, 23954, 13177, 83747, 45829, 33208, 103359, 105226, 108729, 25333, 117503, 113173, 15682, 36896, 45829, 67645, 32977, 30512, 106518, 64121, 5486, 101662, 125655, 30046, 29295, 5486, 89151, 20230, 45918, 229, 111842, 104940, 102802, 30512, 112391, 30369, 100909, 16144, 108608, 106222, 16144, 103350, 102321, 10646, 36785, 102677, 113637, 102433, 16556, 5486, 45829, 67645, 32977, 30512, 106518, 64121, 5486, 101662, 38144, 100934, 103760, 106759, 127282, 111476, 67645, 16144, 125525, 103760, 106759, 126036, 80988, 239, 105714, 107462, 104533, 122571, 91763, 30297, 1811, 114774, 5486, 104503, 106759, 120885, 5486, 80988, 239, 105714, 103836, 1811, 126920, 45829, 67645, 32977, 126027, 106592, 78698, 107290, 80988, 239, 105714, 103836, 105408, 29295, 120268, 104575, 105352, 113261, 24615, 248, 104674, 105352, 107991, 115789, 78183, 102518, 1811, 29295, 5486, 106222, 103306, 5486, 127032, 20230, 28713, 101860, 30813, 78183, 30369, 119436, 105459, 113115, 39926, 106116, 117876, 20230, 89151, 20230, 45918, 229, 111842, 104940, 102802, 29295, 112391, 110071, 105933, 60868, 121057, 29295, 5486, 117475, 101983, 110731, 108995, 32149, 9174, 86127, 116907, 29295, 5486, 9080, 104680, 5486, 120044, 16556, 112391, 28713, 13177, 103350, 104654, 117503, 44971, 115882, 16556, 111476, 25197, 104603, 112997, 71289, 52591, 119930, 15682, 5486, 31958, 33503, 111201, 102433, 126036, 45829, 101662, 38144, 15024, 126172, 16995, 106222, 115287, 1811, 45829, 101662, 38144, 103792, 106592, 110176, 106759, 29295, 45918, 229, 112586, 112391, 110071, 106222, 115287, 9174, 122571, 37271, 5486, 115364, 102131, 56051, 61304, 125534, 107407, 117591, 20230, 5486, 102181, 50834, 104650, 107436, 33334, 107188, 118145, 105110, 100604, 19732, 5486, 104195, 47884, 91763, 103836, 59459, 16325, 105838, 7705, 102131, 54926, 118733, 27384, 102769, 26854, 103760, 29504, 9458, 102433, 29295, 5486, 103760, 106759, 125030, 76947, 5486, 104503, 106759, 125030, 76947, 5486, 45829, 67645, 32977, 30512, 108167, 112959, 47884, 17792, 104680, 125030, 76947, 5486, 80539, 112832, 126036, 37087, 38144, 117255, 84844, 105459, 125030, 76947, 5486, 64209, 19732, 33014, 29295, 108064, 32977, 24186, 95221, 16556, 16995, 110071, 105933, 106222, 20230, 114715, 72661, 60358, 109669, 47884, 106592, 5486, 64209, 55031, 112622, 76947, 1981, 9174, 103760, 29504, 78683, 26269, 89154, 16073, 198, 41920, 27479, 16144, 89753, 106518, 30512, 102433, 16556, 106613, 111186, 56051, 102700, 30046, 1811, 66378, 20230, 17, 27479, 118322, 89753, 106518, 77181, 5486, 107624, 106053, 16144, 104712, 105408, 29295, 107991, 110022, 40862, 122412, 16556, 32943, 120761, 114475, 107674, 29295, 5486, 30775, 101, 26955, 114, 32977, 103470, 13177, 198, 115690, 5486, 102625, 104127, 33541, 57980, 66383, 117952, 104028, 9174, 122571, 108031, 103760, 106759, 101983, 110615, 16144, 111769, 32149, 19732, 101790, 99, 62004, 126929, 101732, 107404, 5486, 60358, 32938, 16144, 48154, 122924, 17792, 20230, 110901, 112568, 101832, 5486, 108031, 27929, 85791, 27929, 85791, 106759, 118022, 23039, 39926, 122765, 26854, 65316, 57980, 59712, 118899, 16144, 105268, 16995, 17792, 127282, 115364, 100909, 122416, 78698, 107290, 1811, 106759, 120332, 120885, 5486, 46034, 108044 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 124490, 28542, 30512, 108623, 107290, 33541, 29295, 106116, 118733, 103031, 120577, 95001, 112603, 29295, 17297, 29295, 100472, 31431, 21105, 103, 16995, 38641, 9174, 13177, 102099, 103926, 16144, 104195, 16995, 17792, 66383, 95604, 104468, 5486, 120065, 125144, 50338, 84389, 29295, 43514, 119627, 36896, 105994, 20230, 110631, 16995, 17792, 117503, 100909, 77181, 124897, 66327, 105994, 15682, 22649, 101067, 109904, 105994, 103195, 125231, 66383, 107608, 47884, 22023, 100204, 100481, 38144, 36896, 102131, 16556, 100604, 105994, 20230, 95001, 112603, 120937, 66383, 91763, 103836, 107707, 100909, 38641, 1811, 22649, 101067, 66201, 20230, 107608, 116043, 54926, 16144, 30512, 71289, 107436, 36896, 124490, 28542, 36785, 33503, 76622, 16144, 105994, 30512, 104736, 62004, 5486, 103926, 54926, 100909, 10646, 55031, 122617, 29295, 27704, 109709, 33541, 9174, 14711, 107964, 243, 101128, 116, 29295, 54926, 39177, 15682, 108324, 127408, 117434, 30512, 198, 127880, 126513, 5486, 21388, 113529, 56051, 74482, 102677, 126036, 13177, 53900, 21388, 113529, 54926, 25827, 110034, 32149, 66383, 95604, 114284, 16144, 104195, 16995, 126101, 5486, 91875, 101128, 116, 29295, 82533, 17129, 110104, 102677, 105908, 57903, 5486, 61337, 32943, 71493, 115691, 64810, 109554, 16144, 105408, 20230, 50021, 111813, 56051, 110229, 5486, 32943, 70626, 16556, 108324, 127408, 117434, 10110, 37823, 38248, 120, 7705, 30512, 117120, 24273, 120837, 33503, 30297, 106592, 100927, 107290, 32977, 110706, 79721, 1811, 103350, 104983, 20230, 32943, 70626, 114475, 120761, 39926, 64121, 28713, 16144, 119627, 36896, 127408, 26854, 39177, 5486, 91875, 101128, 116, 29295, 54926, 66383, 112825, 110904, 20230, 108044, 58942, 104533, 5486, 114225, 117120, 24273, 120837, 33503, 58942, 79721, 1811, 64209, 109519, 32943, 70626, 120650, 47884, 104468, 120065, 102040, 65575, 33710, 29295, 126574, 106046, 103836, 17792, 105352, 33334, 125683, 62004, 38641, 9174, 32977, 43514, 85791, 25827, 17792, 103732, 104533, 91763, 30297, 105879, 33334, 103242, 30046, 115867, 122225, 30512, 121755, 117201, 102717, 102800, 16144, 119627, 110371, 117434, 107407, 19732, 126920, 105465, 38641, 66327, 69978, 103836, 66383, 91763, 30297, 121142, 51385, 64209, 32977, 108608, 105879, 33334, 125683, 62004, 78434, 9174, 14711, 45631, 104736, 53283, 16144, 15722, 103, 64121, 118587, 37026, 112854, 119607, 198, 120065, 113799, 102204, 90620, 76622, 16556, 13177, 122571, 123726, 100934, 95001, 112603, 126758, 114516, 113461, 66383, 103296, 45923, 103223, 103672, 102052, 17129, 76947, 114732, 104328, 107118, 5486, 120065, 104736, 53283, 29295, 15722, 103, 64121, 29295, 43514, 38641, 9174, 104736, 53283, 29295, 15722, 103, 64121, 29295, 43514, 26854, 110993, 79982, 26854, 115303, 10110, 80805, 38248, 121, 96452, 37823, 103906, 11972, 108502, 104698, 29295, 161, 19044, 110731, 101402, 8676, 108, 71005, 104309, 7705, 30512, 105994, 116749, 20230, 114284, 111179, 32149, 115694, 64121, 104533, 5486, 104736, 53283, 29295, 15722, 103, 104127, 30369, 121894, 102677, 104468, 25197, 126989, 15024, 126172, 16995, 38641, 1811, 107943, 120065, 56051, 118733, 5486, 107943, 20230, 120175, 104526, 104004, 26854, 57980, 11972, 6447, 19732, 104584, 42891, 121423, 28713, 115737, 104533, 91763, 61689, 9174, 80673, 22656, 116537, 102334, 76947, 27384, 89151, 28190, 30832, 20230, 120175, 104526, 126559, 113334, 16556, 115847, 30512, 100543, 107, 37656, 54926, 41007, 119627, 5486, 117382, 105352, 126362, 121256, 29295, 117896, 16144, 116229, 29295, 126920, 103846, 115717, 33541, 9174, 127880, 126513, 124563, 112649, 64209, 55487, 30926, 71289, 101128, 102, 64121, 30926, 16556, 125456, 29295, 45923, 103223, 103672, 102052, 109709, 27704, 109013, 110018, 15682, 36896, 15682, 6447, 16995, 17129, 15722, 103, 104127, 30369, 76864, 19732, 95221, 109669, 50834, 36896, 104736, 53283, 16144, 15722, 103, 64121, 11972, 76864, 19732, 105424, 104127, 119448, 47884, 110137, 102802, 30512, 39926, 45923, 103223, 103672, 55031, 113487, 76622, 121406, 25197, 126989, 123410, 120266, 121256, 118844, 30512, 104736, 53283, 16144, 15722, 103, 64121, 33014, 106121, 19732, 105324, 104127, 61689, 9174, 107943, 119389, 16556, 103242, 109519, 109904, 39880, 44971, 32977, 26854, 105352, 100604, 27452, 15682, 30813, 38144, 33334, 50834, 36896, 22957, 85701, 25827, 10646, 15682, 117475, 107898, 125683, 62004, 26854, 105879, 112371, 104328, 125338, 64121, 38144, 72315, 9174, 14711, 102362, 16144, 118146, 95221, 117657, 16144, 30512, 71289, 62004, 17129, 109954, 198, 123514, 20, 8107, 21990, 16144, 110018, 124563, 112371, 102131, 119607, 106046, 100472, 104865, 78183, 107277, 107515, 29295, 5486, 117401, 75267, 16556, 60868, 125135, 30512, 103792, 118374, 122416, 16144, 124180, 10110, 127880, 104575, 77181, 40265, 39177, 5486, 11881, 120, 105677, 64121, 20230, 60868, 125135, 5486, 118809, 102663, 123410, 104468, 118374, 116771, 16556, 114083, 15682, 103854, 118821, 109739, 102802, 30512, 109768, 79721, 7705, 20230, 113938, 17129, 112371, 111243, 33503, 30297, 5486, 102677, 105908, 68759, 25197, 52884, 103202, 110276, 110018, 115991, 79721, 119520, 122571, 115924, 103192, 109904, 103296, 20230, 117401, 79785, 101576, 112, 26854, 105879, 5486, 22957, 107404, 114652, 101682, 76622, 17701, 106824, 122396, 124180, 16144, 39850, 127058, 20230, 109440, 115461, 119707, 76622, 17129, 109749, 113334, 38641, 9174, 101182, 9080, 123334, 112043, 31431, 72342, 42891, 32149, 47884, 17129, 78183, 120837, 33503, 100472, 80805, 22398, 29295, 17905, 124475, 101682, 76622, 102204, 101860, 109440, 115461, 119707, 107441, 120175, 104526, 104127, 36896, 86127, 116898, 100604, 118881, 29295, 104712, 123794, 14382, 10646, 19732, 112361, 124180, 16144, 118374, 20230, 87177, 127564, 106116, 124863, 13177, 105994, 29295, 105465, 21105, 239, 104984, 108048, 16556, 104712, 102189, 57980, 66383, 95604, 112690, 30512, 120700, 79721, 9174, 58426, 112690, 29295, 115408, 107809, 77181, 101860, 104043, 33334, 106154, 111331, 104466, 119883, 16995, 100481, 38144, 5486, 115924, 103192, 21105, 234, 43514, 26854, 17792, 21990, 107809, 16556, 46456, 58942, 117084, 61689, 9174, 127880, 56051, 105908, 109440, 115461, 119707, 107441, 114604, 32149, 121061, 5486, 32977, 67016, 127564, 115389, 78183, 106824, 114604, 32149, 121061, 115408, 105321, 121867, 100604, 118881, 29295, 104712, 104865, 121061, 114318, 107707, 118146, 95221, 116446, 122416, 107991, 116537, 5486, 31634, 15682, 115364, 100909, 67016, 113727, 100481, 107515, 66327, 86127, 5486, 100990, 118, 114758, 91006, 19732, 64803, 103070, 39177, 16325, 5486, 43511, 124911, 20230, 50834, 102532, 17129, 78183, 103836, 105933, 102944, 38641, 9174, 107943, 100909, 105755, 36896, 115690, 5486, 105465, 102800, 26854, 30591, 66383, 5486, 105994, 116907, 16144, 120208, 30512, 27384, 30926, 117657, 105908, 126843, 99849, 126036, 27384, 102769, 38641, 1811, 102131, 127564, 5486, 50834, 104043, 86127, 125030, 76947, 16144, 107461, 118517, 115247, 30591, 117255, 119775, 5486, 127177, 112832, 111201, 19732, 114598, 27384, 102769, 26854, 48706, 101983, 104028, 106046, 61689, 1811, 128001, 128000, 12, 10884, 25, 220, 1114, 198, 12, 5195, 10, 15, 198, 12, 7228, 198, 679, 18, 116358, 29504, 89046, 116581, 109421, 105617, 10110, 108152, 78683, 64810, 52591, 7705, 19732, 29504, 80195, 106222, 118788, 9458, 113073, 109606, 121224, 16144, 104873, 112984, 103732, 104533, 111476, 102433, 117255, 84844, 16144, 13177, 125098, 27479, 10646, 15682, 61826, 103130, 34617, 20713, 71493, 29504, 16325, 60596, 25129, 115132, 125581, 77181, 16, 25129, 115287, 118844, 15682, 104662, 39926, 103167, 16995, 110480, 25129, 111769, 9174, 80673, 5486, 104575, 16144, 16995, 100204, 62004, 109606, 71289, 5486, 101662, 116581, 54322, 77062, 226, 5486, 116581, 109421, 84264, 238, 75293, 104309, 5486, 45829, 67645, 32977, 30512, 62004, 104699, 30369, 116292, 102800, 118331, 61398, 30512, 108870, 117657, 28713, 102802, 20230, 5486, 28873, 28713, 39926, 45829, 101662, 38144, 101083, 31640, 113115, 54926, 60868, 121057, 30512, 5486, 106222, 71289, 29504, 29295, 50834, 43514, 127842, 28873, 28713, 103792, 104865, 19732, 107750, 99397, 20230, 91763, 30297, 115789, 127181, 66327, 15120, 117913, 114050, 76706, 109526, 235, 106222, 66383, 16995, 116285, 104655, 22957, 58942, 15682, 104712, 29295, 5486, 45829, 101662, 38144, 101083, 31640, 71289, 45829, 67645, 32977, 105459, 125030, 76947, 13177, 123726, 126172, 16995, 29504, 66383, 15682, 67645, 103171, 102944, 26854, 120900, 32149, 9174, 110924, 16556, 37271, 18904, 15682, 123085, 9458, 25197, 104603, 112997, 9458, 52591, 93488, 117718, 46091, 2845, 113, 29504, 16556, 100525, 232, 101310, 254, 120740, 20834, 106518, 120740, 101662, 116581, 30512, 106613, 111186, 56051, 111482, 16144, 76739, 26269, 64810, 25197, 30512, 126362, 119607, 119150, 1811, 109453, 29295, 106613, 111186, 56051, 109335, 13177, 102159, 107707, 106613, 111186, 10646, 127303, 76947, 5486, 37087, 38144, 124911, 20230, 40265, 38144, 15682, 115464, 113334, 111769, 29295, 36896, 45829, 101662, 38144, 15024, 126172, 16995, 106222, 109669, 47884, 31431, 117503, 107461, 52414, 29295, 114392, 20230, 50520, 108, 117864, 15120, 119752, 103195, 125939, 123085, 16556, 45829, 101662, 38144, 20230, 28194, 106, 119895, 103792, 101908, 122924, 107898, 125683, 62004, 26854, 104468, 32977, 43514, 85791, 25827, 5486, 111656, 104503, 103760, 101083, 31640, 71289, 33563, 101662, 116690, 30046, 5486, 104575, 116690, 30046, 104309, 5486, 127032, 20230, 108826, 30369, 17792, 102052, 112371, 104328, 98499, 25827, 72661, 33503, 102334, 16995, 22656, 103195, 9174, 11144, 102700, 30046, 126362, 11199, 103013, 245, 34048, 42579, 117, 45829, 43444, 58426, 103854, 18049, 230, 30297, 22957, 23954, 5162, 20, 8107, 116622, 21990, 123606, 1811, 106711, 109076, 58850, 106424, 102667, 120284, 48864, 70626, 124305, 101275, 74482, 5486, 108285, 58655, 113551, 72516, 20230, 81258, 107430, 1811, 220, 56906, 107430, 74482, 5486, 33035, 117735, 71289, 83947, 38093, 87177, 104575, 114341, 104599, 123410, 26854, 32149, 5486, 103983, 45829, 30512, 20834, 106518, 1811, 220, 2550, 23, 8107, 5486, 101908, 16144, 108436, 114731, 20230, 112183, 16995, 110968, 83947, 1811, 106135, 45829, 30512, 20834, 106518, 1811, 220, 1049, 16, 8107, 5486, 110968, 6271, 237, 1811, 109790, 45829, 30512, 20834, 106518, 1811, 220, 1049, 18, 8107, 5486, 112454, 29504, 1811, 101961, 71208, 41920, 58850, 16144, 103760, 1811, 109203, 113569, 23530, 19000, 101987, 9174, 22656, 20230, 102181, 32149, 115032, 44915, 29295, 115515, 77181, 114715, 102491, 115737, 76947, 103801, 103836, 112973, 114715, 108618, 104611, 109846, 5486, 45829, 101662, 38144, 106581, 16144, 108010, 119178, 109076, 115461, 108064, 59739, 32977, 5486, 25580, 70141, 50834, 20230, 28194, 106, 119895, 54926, 50667, 96356, 27384, 16144, 103760, 106759, 104023, 102700, 112919, 110783, 29295, 55999, 99750, 108608, 9174, 122270, 115847, 15682, 22656, 102700, 16144, 22656, 104482, 107118, 108901, 109020, 120900, 29295, 112160, 119752, 30512, 33035, 39926, 5486, 102700, 30046, 29295, 102433, 52118, 25197, 104603, 112997, 52118, 52591, 119930, 78699, 17129, 47884, 117501, 20230, 109431, 106608, 109768, 47884, 103826, 45829, 29295, 17885, 118, 105262, 28542, 32977, 28190, 101828, 16995, 1811, 66378, 20230, 5486, 52591, 119930, 77181, 5486, 52591, 119930, 102158, 118006, 100927, 104599, 105988, 114483, 33710, 19732, 13177, 45829, 101662, 38144, 104760, 105242, 66953, 127764, 118587, 103721, 108, 31431, 108285, 102639, 30369, 30591, 115926, 105321, 32149, 15682, 5486, 52591, 119930, 17792, 33208, 103792, 26854, 108861, 106046, 100472, 9174, 51330, 22656, 30512, 102181, 108895, 106046, 100472, 114667, 10110, 88852, 123213, 102700, 113487, 90397, 233, 23954, 13177, 83747, 45829, 33208, 103359, 105226, 108729, 25333, 117503, 113173, 15682, 36896, 45829, 67645, 32977, 30512, 106518, 64121, 5486, 101662, 125655, 30046, 29295, 5486, 89151, 20230, 45918, 229, 111842, 104940, 102802, 30512, 112391, 30369, 100909, 16144, 108608, 106222, 16144, 103350, 102321, 10646, 36785, 102677, 113637, 102433, 16556, 5486, 45829, 67645, 32977, 30512, 106518, 64121, 5486, 101662, 38144, 100934, 103760, 106759, 127282, 111476, 67645, 16144, 125525, 103760, 106759, 126036, 80988, 239, 105714, 107462, 104533, 122571, 91763, 30297, 1811, 114774, 5486, 104503, 106759, 120885, 5486, 80988, 239, 105714, 103836, 1811, 126920, 45829, 67645, 32977, 126027, 106592, 78698, 107290, 80988, 239, 105714, 103836, 105408, 29295, 120268, 104575, 105352, 113261, 24615, 248, 104674, 105352, 107991, 115789, 78183, 102518, 1811, 29295, 5486, 106222, 103306, 5486, 127032, 20230, 28713, 101860, 30813, 78183, 30369, 119436, 105459, 113115, 39926, 106116, 117876, 20230, 89151, 20230, 45918, 229, 111842, 104940, 102802, 29295, 112391, 110071, 105933, 60868, 121057, 29295, 5486, 117475, 101983, 110731, 108995, 32149, 9174, 86127, 116907, 29295, 5486, 9080, 104680, 5486, 120044, 16556, 112391, 28713, 13177, 103350, 104654, 117503, 44971, 115882, 16556, 111476, 25197, 104603, 112997, 71289, 52591, 119930, 15682, 5486, 31958, 33503, 111201, 102433, 126036, 45829, 101662, 38144, 15024, 126172, 16995, 106222, 115287, 1811, 45829, 101662, 38144, 103792, 106592, 110176, 106759, 29295, 45918, 229, 112586, 112391, 110071, 106222, 115287, 9174, 122571, 37271, 5486, 115364, 102131, 56051, 61304, 125534, 107407, 117591, 20230, 5486, 102181, 50834, 104650, 107436, 33334, 107188, 118145, 105110, 100604, 19732, 5486, 104195, 47884, 91763, 103836, 59459, 16325, 105838, 7705, 102131, 54926, 118733, 27384, 102769, 26854, 103760, 29504, 9458, 102433, 29295, 5486, 103760, 106759, 125030, 76947, 5486, 104503, 106759, 125030, 76947, 5486, 45829, 67645, 32977, 30512, 108167, 112959, 47884, 17792, 104680, 125030, 76947, 5486, 80539, 112832, 126036, 37087, 38144, 117255, 84844, 105459, 125030, 76947, 5486, 64209, 19732, 33014, 29295, 108064, 32977, 24186, 95221, 16556, 16995, 110071, 105933, 106222, 20230, 114715, 72661, 60358, 109669, 47884, 106592, 5486, 64209, 55031, 112622, 76947, 1981, 9174, 103760, 29504, 78683, 26269, 89154, 16073, 198, 41920, 27479, 16144, 89753, 106518, 30512, 102433, 16556, 106613, 111186, 56051, 102700, 30046, 1811, 66378, 20230, 17, 27479, 118322, 89753, 106518, 77181, 5486, 107624, 106053, 16144, 104712, 105408, 29295, 107991, 110022, 40862, 122412, 16556, 32943, 120761, 114475, 107674, 29295, 5486, 30775, 101, 26955, 114, 32977, 103470, 13177, 198, 115690, 5486, 102625, 104127, 33541, 57980, 66383, 117952, 104028, 9174, 122571, 108031, 103760, 106759, 101983, 110615, 16144, 111769, 32149, 19732, 101790, 99, 62004, 126929, 101732, 107404, 5486, 60358, 32938, 16144, 48154, 122924, 17792, 20230, 110901, 112568, 101832, 5486, 108031, 27929, 85791, 27929, 85791, 106759, 118022, 23039, 39926, 122765, 26854, 65316, 57980, 59712, 118899, 16144, 105268, 16995, 17792, 127282, 115364, 100909, 122416, 78698, 107290, 1811, 106759, 120332, 120885, 5486, 46034, 108044 ]
[ 105262, 120264, 16144, 8107, 106036, 95, 16556, 10890, 104, 16144, 105791, 104088, 106956, 102944, 57980, 66383, 117952, 103468, 39177, 15682, 101128, 242, 106624, 38144, 127379, 102334, 9174, 46091, 27479, 118322, 100525, 232, 101310, 254, 16556, 21990, 17129, 106824, 105898, 101544, 58850, 16144, 33014, 30358, 15682, 10828, 15, 15755, 229, 1811, 115364, 20834, 106518, 113115, 54926, 127408, 16144, 72342, 117201, 103167, 33014, 30358, 16556, 21990, 17129, 106824, 105898, 16144, 111769, 32149, 19732, 106116, 74482, 32977, 105994, 30512, 113160, 62004, 106307, 105784, 115397, 9080, 21, 18904, 104662, 62004, 109115, 82973, 20230, 109657, 108056, 16144, 33014, 30358, 30512, 111629, 31431, 121453, 21990, 116581, 102452, 16144, 25580, 16556, 103760, 106759, 127282, 105360, 104127, 33014, 30358, 30512, 15120, 7741, 231, 125053, 21105, 103, 118145, 105110, 104435, 9174, 56906, 94923, 74482, 32977, 33334, 104346, 17857, 224, 71289, 9080, 101426, 118959, 104309, 111476, 21105, 103, 118145, 105110, 100604, 105908, 104398, 32149, 47884, 68759, 118331, 107908, 33208, 116216, 108086, 5486, 32977, 107173, 19732, 27384, 75694, 112043, 26854, 34171, 35083, 16144, 102700, 30046, 15682, 85701, 20230, 109076, 115461, 30297, 115789, 43240, 102518, 102677, 1811, 111528, 101921, 118, 114052, 112649, 102518, 110018, 15682, 5486, 103129, 106518, 122924, 98369, 20230, 13177, 108056, 19732, 103309, 16325, 16144, 107141, 111528, 16144, 39177, 32977, 25580, 21105, 120, 31431, 5486, 74482, 21105, 120, 31431, 123334, 113017, 91006, 19732, 104655, 32149, 33121, 36896, 103309, 16325, 103296, 71289, 106358, 33503, 86127, 5486, 108031, 120379, 30369, 82973, 29295, 123733, 31431, 33541, 66383, 112294, 79785, 30512, 118328, 126145, 36896, 113170, 112568, 5486, 103760, 106759, 117084, 103309, 120379, 103950, 106046, 113017, 16144, 11571, 122582, 103760, 106759, 103306, 16144, 37026, 112854, 29295, 102780, 31431, 100604, 78183, 101832, 11972, 66383, 15120, 116337, 103646, 9174, 109453, 29295, 106613, 111186, 56051, 109335, 5486, 102321, 31640, 16144, 102433, 77181, 57903, 50928, 100604, 102944, 32977, 101182, 108995, 15024, 5486, 109453, 16144, 117501, 29295, 115612, 16937, 103768, 103351, 107173, 113727, 110071, 119520, 115847, 120577, 106613, 111186, 30512, 33035, 39926, 5486, 109453, 15682, 102433, 113245, 100525, 232, 101310, 254, 120740, 20834, 106518, 16144, 106613, 111186, 30512, 51330, 104466, 123011, 62004, 100934, 59459, 88852, 5486, 102700, 102181, 113487, 90397, 233, 23954, 112599, 5486, 28713, 102802, 28713, 102802, 116491, 16556, 31809, 30813, 26854, 109657, 108056, 30512, 108055, 39926, 114604, 106759, 16144, 77219, 114447, 1811, 32977, 43514, 85791, 25827, 5486, 37087, 119064, 106759, 16144, 96356, 104284, 46034, 19732, 91774, 110071, 126465, 32977, 101182, 15024, 116898, 107188, 30369, 114667, 127303, 114598, 99849, 16144, 108789, 126758, 31809, 30813, 26854, 51609, 30512, 127696, 30297, 109335, 110008, 84389, 100604, 1811, 29295, 5486, 107803, 113468, 15682, 5486, 117501, 71289, 103760, 106759, 16144, 33014, 29295, 67645, 103171, 121894, 127303, 114598, 111476, 40053, 20230, 115274, 112603, 30512, 32018, 62004, 110071, 102433, 16144, 101662, 116581, 20230, 5486, 863, 15120, 21990, 103435, 116, 51609, 80988, 239, 105714, 103836, 33334, 103760, 98369, 863, 29295, 103558, 108, 116216, 114604, 16144, 111769, 108995, 32149, 5486, 105104, 19732, 5486, 103305, 8107, 123628, 105994, 30512, 114284, 20834, 21105, 103, 29295, 33503, 78698, 105262, 105908, 101182, 1811, 118116, 107404, 115408, 15682, 105184, 111201, 112169, 15682, 56965, 108010, 106358, 123682, 5486, 105994, 26854, 31431, 102052, 101961, 21990, 103435, 116, 51609, 16556, 5486, 80539, 5486, 127258, 33121, 126929, 101732, 9174, 101662, 116581, 102181, 20230, 16995, 15682, 114652, 13177, 198, 101662, 116581, 15682, 105465, 106624, 114948, 16144, 123457, 113487, 102532, 66383, 102181, 102532, 101182, 1811, 122571, 85701, 104088, 104533, 5486, 105994, 29295, 108695, 20230, 114731, 62004, 101732, 66953, 112193, 115924, 115962, 23538, 16144, 60868, 32131, 37823, 108941, 16073, 101701, 119283, 30512, 114284, 121406, 9174, 13177, 198, 43568, 22649, 30512, 107726, 5486, 43568, 22649, 123410, 26854, 19732, 5486, 43568, 22649, 30512, 120267, 111329, 127880, 107803, 16556, 78244, 116285, 5486, 114948, 16144, 123457, 113487, 105898, 47884, 111243, 5486, 106518, 123470, 64467, 106839, 30512, 50834, 43514, 127842, 106154, 103950, 103306, 5486, 80539, 77693, 33503, 30512, 103760, 106759, 122485, 16556, 71289, 31431, 30250, 224, 102639, 101200, 19732, 112990, 5486, 113487, 32149, 103470, 38144, 15682, 105110, 100604, 104468, 115364, 102456, 30926, 71289, 113136, 120379, 115287, 1811, 101908, 102052, 5486, 101662, 116581, 20230, 108975, 48634, 54926, 95221, 69978, 86614, 105693, 29295, 5486, 108975, 48634, 54926, 82973, 15682, 104435, 124845, 5486, 108975, 48634, 54926, 82973, 16144, 100604, 101908, 16144, 13177, 110924, 103296, 21105, 103, 47884, 111243, 5486, 104712, 25827, 110034, 16144, 91006, 102677, 106142, 106353, 26854, 37689, 91774, 30512, 115408, 15682, 13177, 99849, 32977, 21105, 103, 16995, 110115, 40526, 103378, 20834, 30813, 100604, 16556, 57980, 66383, 5486, 104584, 50834, 54322, 56051, 9174, 102971, 91077, 86127, 20230, 5486, 101662, 116581, 121960, 117475, 16144, 13177, 114948, 16144, 48634, 16144, 113487, 50834, 24273, 118587, 100927, 107290, 122396, 104468, 5486, 80539, 101662, 116581, 29295, 13177, 103760, 106759, 16144, 117876, 10646, 16556, 103470, 13177, 101908, 122924, 16144, 117876, 10646, 103195, 19732, 100927, 107290, 122396, 104468, 123085, 77181, 104435, 9174, 109531, 52414, 33710, 111817, 16144, 29504, 5486, 25197, 104603, 112997, 198, 58426, 74482, 25197, 104603, 112997, 20230, 110968, 31431, 5486, 30537, 17, 45829, 30512, 53610, 16325, 20834, 106518, 56051, 102700, 112919, 37729, 45829, 98369, 1811, 110382, 77181, 74090, 102780, 16556, 105564, 47884, 107918, 120938, 30512, 126507, 126507, 107726, 111243, 95221, 20230, 21105, 103, 16995, 25197, 104603, 112997, 17792, 103760, 5486, 46729, 30926, 30512, 40265, 115926, 25580, 119775, 46034, 108044, 30297, 25197, 104603, 112997, 17792, 101908, 5486, 71208, 117255, 30512, 109531, 52414, 33710, 111817, 20230, 101662, 125655, 41007, 5486, 113261, 24615, 248, 104674, 93488, 78459, 15682, 102012, 110993, 16144, 78525, 103672, 32131, 13870, 223, 40265, 103351, 111842, 5486, 106581, 71289, 45829, 101662, 38144, 16144, 113727, 24273, 16144, 108010, 119178, 109076, 115461, 30297, 37729, 45829, 115867, 103826, 45829, 29295, 19732, 111243, 28190, 101828, 16995, 9174, 110382, 77181, 37087, 38144, 126362, 21105, 235, 110615, 105879, 112160, 87217, 47523, 17599, 112, 109904, 102832, 91482, 108941, 26269, 60868, 78767, 113245, 76739, 70563, 102741, 65575, 30512, 126362, 119607, 119150, 59459, 88852, 112160, 34048, 22656, 17161, 113487, 90397, 233, 23954, 56906, 94923, 74482, 21105, 108, 124749, 112990, 5486, 122412, 55031, 127359, 26269, 60868, 78767, 100927, 102452, 16144, 81742, 32943, 29295, 124284, 1811, 67645, 103171, 102944, 32149, 91774, 38144, 64121, 101200, 114318, 86127, 32977, 33671, 58850, 29295, 103305, 71493, 9953, 16144, 119400, 20230, 110284, 39926, 64121, 28713, 1811, 508, 40198, 111, 108680, 16144, 71493, 25005, 248, 67075, 20230, 5486, 103129, 106518, 104599, 98369, 30512, 39209, 107290, 868, 21909, 845, 107707, 68759, 68759, 105459, 29295, 113663, 115717, 5486, 115364, 112772, 66953, 105335, 90962, 33710, 30512, 104328, 102532, 109657, 108056, 30512, 121120, 32149, 122101, 9174, 32131, 102832, 108506, 11972, 112197, 102765, 29295, 28713, 32149, 103468, 23706, 240, 15024, 35894, 56965, 16556, 127359, 26269, 60868, 78767, 30512, 27704, 109315, 127211, 102769, 26854, 109335, 5486, 109657, 108056, 16144, 30832, 104088, 106272, 5486, 87177, 67016, 76622, 5486, 125796, 64121, 126929, 106272, 68759, 26269, 60868, 78767, 123410, 100909, 9174, 77693, 116446, 32977, 5486, 90962, 106696, 116825, 107441, 20230, 116186, 30369, 20230, 116186, 30369, 16144, 112909, 5486, 105104, 78183, 105104, 78183, 16144, 109657, 108056, 16144, 120044, 120938, 20230, 113764, 117063, 30369, 104468, 117119, 107173, 120208, 29295, 104712, 1811, 102780, 16144, 64467, 16144, 122382, 102831, 55031, 64467, 61826, 102416, 30813, 17663, 107462, 104533, 106116, 15120, 22656, 15120, 22656, 20230, 16995, 19732, 33334, 21105, 243, 29295, 115079, 17663, 1811, 57326, 112673, 57326, 112673, 16144, 101402, 32977, 32977, 30512, 110176, 46034, 16556, 30775, 253, 104004, 104466, 39926, 5486, 118331, 33710, 118331, 33710, 11972, 104043, 35757, 30512, 110240, 119188, 19732, 5486, 11881, 242, 5486, 90397, 246, 74090, 109739, 102802, 30512, 107113, 110018, 120950, 5486, 85707, 107436, 112197, 86894, 241, 45829, 30512, 46034, 19967, 31431, 56051, 110018, 120950, 5486, 72661, 5486, 125821, 115289, 33503, 32149, 47884, 38144, 5486, 125821, 119375, 48634, 29295, 30591, 76947, 5486, 108064, 17129, 72661, 109835, 106358, 16995, 105933, 117119, 107173, 78244, 119841, 125098, 99750, 20230, 27699, 116, 104028, 9174, 102832, 91482, 108941, 26269, 60868, 78767, 16144, 106548, 24273, 109853, 5486, 103129, 106518, 122924, 117940, 108895, 39880, 45923, 66953, 112900, 56051, 9174, 13177, 16995, 85791, 16995, 85791, 19732, 119852, 50834, 79721, 29295, 111476, 99849, 126036, 27384, 102769, 26854, 109335, 127359, 68759, 116907, 29295, 120208, 104712, 19732, 112391, 30369, 100909, 38641, 1811, 68759, 68759, 29295, 120208, 16995, 119150, 19732, 106116, 115003, 231, 21105, 243, 29295, 109657, 108056, 105352, 108044, 116547, 127359, 68759, 29295, 20230, 42891, 22957, 31431, 112990, 5486, 109657, 108056, 32977, 20230, 42891, 22957, 31431, 78434, 109900, 55031, 127359, 68759, 29295, 120208, 104712, 19732, 5486, 125821, 109657, 108056, 16144, 106592, 120111, 101983, 33121, 33541, 1811, 111329, 13177, 103082, 104984, 15120, 9080, 15120, 18904, 108948, 104346, 17857, 224, 17905, 31431, 104309, 20230, 68759, 26269, 60868, 78767, 30512, 39926, 122765, 38144, 72315, 9174, 108895, 16556, 103470, 38144, 15682, 105110, 100604, 5486, 102677, 109335, 99849, 32977, 124897, 1811, 68759, 68759, 19732, 109657, 108056, 29295, 120208, 104712, 101832, 5486, 106046, 16995, 30591, 58942, 104984, 108048, 16556, 114392, 38641, 1811, 11881, 120, 56965, 5486, 25197, 102803, 32131, 21105, 94, 101668, 100472, 9080, 102052, 66378, 20230, 8239, 114503, 9554, 38641, 111329, 37729, 45829, 117940, 25197, 104603, 112997, 20230, 37507, 38144, 117119, 27479, 32977, 13177, 198, 68759, 68759, 29295, 106515, 72342, 16556, 107991, 105908, 27384, 102769, 126529, 57980, 66383, 117952, 106824, 105898, 29295, 106116, 27479, 20230, 109657, 108056, 71289, 45829, 67645, 32977, 29295, 91774, 106956, 104468, 127359, 68759, 29295, 121308, 122756, 15024, 78183, 30512, 108385, 127397, 59614, 102625, 20230, 110901, 112568, 16144, 103846, 57980, 66383, 80988, 239, 105714, 30369, 110783, 126194, 5486, 90620, 90620, 127359, 68759, 29295, 20230, 42891, 22957, 31431, 106515, 72342, 102131, 20230, 115364, 48706, 104088, 59739, 62004, 100934, 110783, 26854, 105272, 57980, 114318, 101790, 255, 110731, 116499, 56051, 9174, 80539, 13177, 15120, 9080, 16325, 127379, 32149, 106824, 5486, 101662, 116581, 29295, 117733, 110276, 110018, 15682, 5486, 114387, 106592, 112990, 5486, 53900, 109657, 108056, 16144, 106592, 120111, 101983, 104028, 57980, 66383, 5486, 21388, 16995, 102131, 108176, 103926, 40474, 30512, 91763, 30297, 121406, 107461, 52414, 29295, 32977, 33503, 105262, 104468, 36896, 107202, 106624, 28713, 76947, 5486, 116292, 106624, 28713, 76947, 5486, 120379, 33121, 103470, 111243, 5486, 125764, 33121, 103470, 111243, 5486, 103926, 40474, 30512, 112391, 30369, 123253, 11571, 101832, 11571, 101832, 11571, 120885, 30591, 112568, 16144, 109657, 104702, 102189, 102944, 101832, 66383, 111476, 13177, 103926, 40474, 40053, 20230, 112624, 127065, 121894, 118587, 32018, 62004, 110071, 126036, 5486, 101860, 104043, 103760, 106759, 16144, 64209, 126130, 36785, 71289, 111201, 39926, 122396, 9174, 103926, 19732, 115687, 71493, 107446, 16144, 29504, 5486, 52591, 119930, 198, 58426, 74482, 52591, 119930, 120650, 50834, 5486, 85707, 107436, 43568, 108631, 17620, 101310, 102, 30512, 106613, 111186, 54926, 37729, 45829, 98369, 1811, 95221, 16144, 104195, 16995, 52591, 119930, 17792, 111482, 5486, 103760, 111528, 30512, 15682, 71289, 47884, 71289, 109315, 125231, 36785, 102677, 100927, 58942, 5486, 101908, 122924, 122558, 16556, 102456, 30926, 54926, 82973, 116825, 109749, 100909, 5486, 29504, 30512, 123680, 102639, 38144, 16144, 105843, 103350, 56051, 45829, 101662, 38144, 122521, 104309, 5486, 109453, 29295, 121602, 102334, 76739, 70563, 102741, 65575, 29295, 22656, 102700, 77181, 16995, 85791, 16995, 85791, 19732, 126362, 103792, 9174, 67645, 33121, 32977, 28190, 101828, 16995, 87177, 26854, 105272, 29295, 106116, 26854, 32149, 72661, 32335, 32977, 13177, 52591, 119930, 114420, 66383, 68759, 99959, 91062, 37823, 102540, 29295, 91763, 100472, 104468, 111476, 106518, 123470, 104735, 96, 119049, 20251, 44971, 16144, 87177, 103195, 59459, 88852, 112160, 34048, 22656, 17161, 113487, 90397, 233, 23954, 20834, 106518, 56051, 122412, 16556, 5486, 103242, 104599, 20230, 13177, 47884, 116826, 64121, 71289, 100389, 111, 126198, 112661, 122756, 5486, 126017, 118487, 33121, 54926, 109335, 124897, 32149, 91006, 19732, 104655, 32149, 33121, 36896, 30591, 121906, 16995, 116285, 5486, 57903, 33541, 66383, 103899, 107800, 33503, 36896, 102131, 105110, 81219, 85701, 15682, 27384, 30926, 26854, 109606, 38641, 1811, 114363, 103722, 16144, 105408, 20230, 17129, 78183, 78434, 66383, 117952, 33121, 5486, 37729, 45829, 115867, 104735, 96, 119049, 20251, 44971, 29295, 30591, 33121, 57980, 30591, 33121, 57980, 102677, 122756, 106633, 30512, 30591, 107674, 9174, 119049, 20251, 44971, 85707, 9080, 5486, 114363, 103722, 16144, 37823, 102040, 91482, 37823, 109519, 25333, 101559, 15682, 108895, 115791, 9174, 13177, 110589, 55031, 112160, 114262, 20230, 80988, 239, 105714, 31431, 17129, 109954, 118844, 15682, 114318, 111243, 27384, 102769, 26854, 20251, 44971, 118928, 94550, 38641, 1811, 103983, 20230, 108149, 112568, 16144, 113614, 16144, 103846, 1811, 110382, 16556, 80988, 239, 105714, 110104, 19732, 5486, 8107, 30512, 18655, 76947, 55031, 13177, 126017, 118487, 33121, 10646, 16556, 107202, 8239, 112, 54926, 100909, 115717, 33541, 9174, 106135, 15682, 5486, 32977, 43514, 85791, 25827, 108149, 112568, 16144, 48154, 36668, 107707, 103846, 38641, 76864, 198, 10110, 53900, 58426, 114667, 32149, 42891, 6447, 23954, 51330, 119049, 20251, 44971, 5486, 105408, 16144, 39880, 45923, 66953, 112900, 19732, 60868, 121057, 123017, 19732, 112160, 82973, 47260, 61398, 30512, 111299, 20230, 41920, 18904, 16144, 99695, 61398, 16556, 605, 111299, 20230, 78183, 28713, 76947, 5486, 119273, 104680, 20230, 119049, 123457, 18904, 109095, 109768, 47884, 104466, 71493, 37823, 123283, 32131, 91062, 29295, 103214 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 105262, 120264, 16144, 8107, 106036, 95, 16556, 10890, 104, 16144, 105791, 104088, 106956, 102944, 57980, 66383, 117952, 103468, 39177, 15682, 101128, 242, 106624, 38144, 127379, 102334, 9174, 46091, 27479, 118322, 100525, 232, 101310, 254, 16556, 21990, 17129, 106824, 105898, 101544, 58850, 16144, 33014, 30358, 15682, 10828, 15, 15755, 229, 1811, 115364, 20834, 106518, 113115, 54926, 127408, 16144, 72342, 117201, 103167, 33014, 30358, 16556, 21990, 17129, 106824, 105898, 16144, 111769, 32149, 19732, 106116, 74482, 32977, 105994, 30512, 113160, 62004, 106307, 105784, 115397, 9080, 21, 18904, 104662, 62004, 109115, 82973, 20230, 109657, 108056, 16144, 33014, 30358, 30512, 111629, 31431, 121453, 21990, 116581, 102452, 16144, 25580, 16556, 103760, 106759, 127282, 105360, 104127, 33014, 30358, 30512, 15120, 7741, 231, 125053, 21105, 103, 118145, 105110, 104435, 9174, 56906, 94923, 74482, 32977, 33334, 104346, 17857, 224, 71289, 9080, 101426, 118959, 104309, 111476, 21105, 103, 118145, 105110, 100604, 105908, 104398, 32149, 47884, 68759, 118331, 107908, 33208, 116216, 108086, 5486, 32977, 107173, 19732, 27384, 75694, 112043, 26854, 34171, 35083, 16144, 102700, 30046, 15682, 85701, 20230, 109076, 115461, 30297, 115789, 43240, 102518, 102677, 1811, 111528, 101921, 118, 114052, 112649, 102518, 110018, 15682, 5486, 103129, 106518, 122924, 98369, 20230, 13177, 108056, 19732, 103309, 16325, 16144, 107141, 111528, 16144, 39177, 32977, 25580, 21105, 120, 31431, 5486, 74482, 21105, 120, 31431, 123334, 113017, 91006, 19732, 104655, 32149, 33121, 36896, 103309, 16325, 103296, 71289, 106358, 33503, 86127, 5486, 108031, 120379, 30369, 82973, 29295, 123733, 31431, 33541, 66383, 112294, 79785, 30512, 118328, 126145, 36896, 113170, 112568, 5486, 103760, 106759, 117084, 103309, 120379, 103950, 106046, 113017, 16144, 11571, 122582, 103760, 106759, 103306, 16144, 37026, 112854, 29295, 102780, 31431, 100604, 78183, 101832, 11972, 66383, 15120, 116337, 103646, 9174, 109453, 29295, 106613, 111186, 56051, 109335, 5486, 102321, 31640, 16144, 102433, 77181, 57903, 50928, 100604, 102944, 32977, 101182, 108995, 15024, 5486, 109453, 16144, 117501, 29295, 115612, 16937, 103768, 103351, 107173, 113727, 110071, 119520, 115847, 120577, 106613, 111186, 30512, 33035, 39926, 5486, 109453, 15682, 102433, 113245, 100525, 232, 101310, 254, 120740, 20834, 106518, 16144, 106613, 111186, 30512, 51330, 104466, 123011, 62004, 100934, 59459, 88852, 5486, 102700, 102181, 113487, 90397, 233, 23954, 112599, 5486, 28713, 102802, 28713, 102802, 116491, 16556, 31809, 30813, 26854, 109657, 108056, 30512, 108055, 39926, 114604, 106759, 16144, 77219, 114447, 1811, 32977, 43514, 85791, 25827, 5486, 37087, 119064, 106759, 16144, 96356, 104284, 46034, 19732, 91774, 110071, 126465, 32977, 101182, 15024, 116898, 107188, 30369, 114667, 127303, 114598, 99849, 16144, 108789, 126758, 31809, 30813, 26854, 51609, 30512, 127696, 30297, 109335, 110008, 84389, 100604, 1811, 29295, 5486, 107803, 113468, 15682, 5486, 117501, 71289, 103760, 106759, 16144, 33014, 29295, 67645, 103171, 121894, 127303, 114598, 111476, 40053, 20230, 115274, 112603, 30512, 32018, 62004, 110071, 102433, 16144, 101662, 116581, 20230, 5486, 863, 15120, 21990, 103435, 116, 51609, 80988, 239, 105714, 103836, 33334, 103760, 98369, 863, 29295, 103558, 108, 116216, 114604, 16144, 111769, 108995, 32149, 5486, 105104, 19732, 5486, 103305, 8107, 123628, 105994, 30512, 114284, 20834, 21105, 103, 29295, 33503, 78698, 105262, 105908, 101182, 1811, 118116, 107404, 115408, 15682, 105184, 111201, 112169, 15682, 56965, 108010, 106358, 123682, 5486, 105994, 26854, 31431, 102052, 101961, 21990, 103435, 116, 51609, 16556, 5486, 80539, 5486, 127258, 33121, 126929, 101732, 9174, 101662, 116581, 102181, 20230, 16995, 15682, 114652, 13177, 198, 101662, 116581, 15682, 105465, 106624, 114948, 16144, 123457, 113487, 102532, 66383, 102181, 102532, 101182, 1811, 122571, 85701, 104088, 104533, 5486, 105994, 29295, 108695, 20230, 114731, 62004, 101732, 66953, 112193, 115924, 115962, 23538, 16144, 60868, 32131, 37823, 108941, 16073, 101701, 119283, 30512, 114284, 121406, 9174, 13177, 198, 43568, 22649, 30512, 107726, 5486, 43568, 22649, 123410, 26854, 19732, 5486, 43568, 22649, 30512, 120267, 111329, 127880, 107803, 16556, 78244, 116285, 5486, 114948, 16144, 123457, 113487, 105898, 47884, 111243, 5486, 106518, 123470, 64467, 106839, 30512, 50834, 43514, 127842, 106154, 103950, 103306, 5486, 80539, 77693, 33503, 30512, 103760, 106759, 122485, 16556, 71289, 31431, 30250, 224, 102639, 101200, 19732, 112990, 5486, 113487, 32149, 103470, 38144, 15682, 105110, 100604, 104468, 115364, 102456, 30926, 71289, 113136, 120379, 115287, 1811, 101908, 102052, 5486, 101662, 116581, 20230, 108975, 48634, 54926, 95221, 69978, 86614, 105693, 29295, 5486, 108975, 48634, 54926, 82973, 15682, 104435, 124845, 5486, 108975, 48634, 54926, 82973, 16144, 100604, 101908, 16144, 13177, 110924, 103296, 21105, 103, 47884, 111243, 5486, 104712, 25827, 110034, 16144, 91006, 102677, 106142, 106353, 26854, 37689, 91774, 30512, 115408, 15682, 13177, 99849, 32977, 21105, 103, 16995, 110115, 40526, 103378, 20834, 30813, 100604, 16556, 57980, 66383, 5486, 104584, 50834, 54322, 56051, 9174, 102971, 91077, 86127, 20230, 5486, 101662, 116581, 121960, 117475, 16144, 13177, 114948, 16144, 48634, 16144, 113487, 50834, 24273, 118587, 100927, 107290, 122396, 104468, 5486, 80539, 101662, 116581, 29295, 13177, 103760, 106759, 16144, 117876, 10646, 16556, 103470, 13177, 101908, 122924, 16144, 117876, 10646, 103195, 19732, 100927, 107290, 122396, 104468, 123085, 77181, 104435, 9174, 109531, 52414, 33710, 111817, 16144, 29504, 5486, 25197, 104603, 112997, 198, 58426, 74482, 25197, 104603, 112997, 20230, 110968, 31431, 5486, 30537, 17, 45829, 30512, 53610, 16325, 20834, 106518, 56051, 102700, 112919, 37729, 45829, 98369, 1811, 110382, 77181, 74090, 102780, 16556, 105564, 47884, 107918, 120938, 30512, 126507, 126507, 107726, 111243, 95221, 20230, 21105, 103, 16995, 25197, 104603, 112997, 17792, 103760, 5486, 46729, 30926, 30512, 40265, 115926, 25580, 119775, 46034, 108044, 30297, 25197, 104603, 112997, 17792, 101908, 5486, 71208, 117255, 30512, 109531, 52414, 33710, 111817, 20230, 101662, 125655, 41007, 5486, 113261, 24615, 248, 104674, 93488, 78459, 15682, 102012, 110993, 16144, 78525, 103672, 32131, 13870, 223, 40265, 103351, 111842, 5486, 106581, 71289, 45829, 101662, 38144, 16144, 113727, 24273, 16144, 108010, 119178, 109076, 115461, 30297, 37729, 45829, 115867, 103826, 45829, 29295, 19732, 111243, 28190, 101828, 16995, 9174, 110382, 77181, 37087, 38144, 126362, 21105, 235, 110615, 105879, 112160, 87217, 47523, 17599, 112, 109904, 102832, 91482, 108941, 26269, 60868, 78767, 113245, 76739, 70563, 102741, 65575, 30512, 126362, 119607, 119150, 59459, 88852, 112160, 34048, 22656, 17161, 113487, 90397, 233, 23954, 56906, 94923, 74482, 21105, 108, 124749, 112990, 5486, 122412, 55031, 127359, 26269, 60868, 78767, 100927, 102452, 16144, 81742, 32943, 29295, 124284, 1811, 67645, 103171, 102944, 32149, 91774, 38144, 64121, 101200, 114318, 86127, 32977, 33671, 58850, 29295, 103305, 71493, 9953, 16144, 119400, 20230, 110284, 39926, 64121, 28713, 1811, 508, 40198, 111, 108680, 16144, 71493, 25005, 248, 67075, 20230, 5486, 103129, 106518, 104599, 98369, 30512, 39209, 107290, 868, 21909, 845, 107707, 68759, 68759, 105459, 29295, 113663, 115717, 5486, 115364, 112772, 66953, 105335, 90962, 33710, 30512, 104328, 102532, 109657, 108056, 30512, 121120, 32149, 122101, 9174, 32131, 102832, 108506, 11972, 112197, 102765, 29295, 28713, 32149, 103468, 23706, 240, 15024, 35894, 56965, 16556, 127359, 26269, 60868, 78767, 30512, 27704, 109315, 127211, 102769, 26854, 109335, 5486, 109657, 108056, 16144, 30832, 104088, 106272, 5486, 87177, 67016, 76622, 5486, 125796, 64121, 126929, 106272, 68759, 26269, 60868, 78767, 123410, 100909, 9174, 77693, 116446, 32977, 5486, 90962, 106696, 116825, 107441, 20230, 116186, 30369, 20230, 116186, 30369, 16144, 112909, 5486, 105104, 78183, 105104, 78183, 16144, 109657, 108056, 16144, 120044, 120938, 20230, 113764, 117063, 30369, 104468, 117119, 107173, 120208, 29295, 104712, 1811, 102780, 16144, 64467, 16144, 122382, 102831, 55031, 64467, 61826, 102416, 30813, 17663, 107462, 104533, 106116, 15120, 22656, 15120, 22656, 20230, 16995, 19732, 33334, 21105, 243, 29295, 115079, 17663, 1811, 57326, 112673, 57326, 112673, 16144, 101402, 32977, 32977, 30512, 110176, 46034, 16556, 30775, 253, 104004, 104466, 39926, 5486, 118331, 33710, 118331, 33710, 11972, 104043, 35757, 30512, 110240, 119188, 19732, 5486, 11881, 242, 5486, 90397, 246, 74090, 109739, 102802, 30512, 107113, 110018, 120950, 5486, 85707, 107436, 112197, 86894, 241, 45829, 30512, 46034, 19967, 31431, 56051, 110018, 120950, 5486, 72661, 5486, 125821, 115289, 33503, 32149, 47884, 38144, 5486, 125821, 119375, 48634, 29295, 30591, 76947, 5486, 108064, 17129, 72661, 109835, 106358, 16995, 105933, 117119, 107173, 78244, 119841, 125098, 99750, 20230, 27699, 116, 104028, 9174, 102832, 91482, 108941, 26269, 60868, 78767, 16144, 106548, 24273, 109853, 5486, 103129, 106518, 122924, 117940, 108895, 39880, 45923, 66953, 112900, 56051, 9174, 13177, 16995, 85791, 16995, 85791, 19732, 119852, 50834, 79721, 29295, 111476, 99849, 126036, 27384, 102769, 26854, 109335, 127359, 68759, 116907, 29295, 120208, 104712, 19732, 112391, 30369, 100909, 38641, 1811, 68759, 68759, 29295, 120208, 16995, 119150, 19732, 106116, 115003, 231, 21105, 243, 29295, 109657, 108056, 105352, 108044, 116547, 127359, 68759, 29295, 20230, 42891, 22957, 31431, 112990, 5486, 109657, 108056, 32977, 20230, 42891, 22957, 31431, 78434, 109900, 55031, 127359, 68759, 29295, 120208, 104712, 19732, 5486, 125821, 109657, 108056, 16144, 106592, 120111, 101983, 33121, 33541, 1811, 111329, 13177, 103082, 104984, 15120, 9080, 15120, 18904, 108948, 104346, 17857, 224, 17905, 31431, 104309, 20230, 68759, 26269, 60868, 78767, 30512, 39926, 122765, 38144, 72315, 9174, 108895, 16556, 103470, 38144, 15682, 105110, 100604, 5486, 102677, 109335, 99849, 32977, 124897, 1811, 68759, 68759, 19732, 109657, 108056, 29295, 120208, 104712, 101832, 5486, 106046, 16995, 30591, 58942, 104984, 108048, 16556, 114392, 38641, 1811, 11881, 120, 56965, 5486, 25197, 102803, 32131, 21105, 94, 101668, 100472, 9080, 102052, 66378, 20230, 8239, 114503, 9554, 38641, 111329, 37729, 45829, 117940, 25197, 104603, 112997, 20230, 37507, 38144, 117119, 27479, 32977, 13177, 198, 68759, 68759, 29295, 106515, 72342, 16556, 107991, 105908, 27384, 102769, 126529, 57980, 66383, 117952, 106824, 105898, 29295, 106116, 27479, 20230, 109657, 108056, 71289, 45829, 67645, 32977, 29295, 91774, 106956, 104468, 127359, 68759, 29295, 121308, 122756, 15024, 78183, 30512, 108385, 127397, 59614, 102625, 20230, 110901, 112568, 16144, 103846, 57980, 66383, 80988, 239, 105714, 30369, 110783, 126194, 5486, 90620, 90620, 127359, 68759, 29295, 20230, 42891, 22957, 31431, 106515, 72342, 102131, 20230, 115364, 48706, 104088, 59739, 62004, 100934, 110783, 26854, 105272, 57980, 114318, 101790, 255, 110731, 116499, 56051, 9174, 80539, 13177, 15120, 9080, 16325, 127379, 32149, 106824, 5486, 101662, 116581, 29295, 117733, 110276, 110018, 15682, 5486, 114387, 106592, 112990, 5486, 53900, 109657, 108056, 16144, 106592, 120111, 101983, 104028, 57980, 66383, 5486, 21388, 16995, 102131, 108176, 103926, 40474, 30512, 91763, 30297, 121406, 107461, 52414, 29295, 32977, 33503, 105262, 104468, 36896, 107202, 106624, 28713, 76947, 5486, 116292, 106624, 28713, 76947, 5486, 120379, 33121, 103470, 111243, 5486, 125764, 33121, 103470, 111243, 5486, 103926, 40474, 30512, 112391, 30369, 123253, 11571, 101832, 11571, 101832, 11571, 120885, 30591, 112568, 16144, 109657, 104702, 102189, 102944, 101832, 66383, 111476, 13177, 103926, 40474, 40053, 20230, 112624, 127065, 121894, 118587, 32018, 62004, 110071, 126036, 5486, 101860, 104043, 103760, 106759, 16144, 64209, 126130, 36785, 71289, 111201, 39926, 122396, 9174, 103926, 19732, 115687, 71493, 107446, 16144, 29504, 5486, 52591, 119930, 198, 58426, 74482, 52591, 119930, 120650, 50834, 5486, 85707, 107436, 43568, 108631, 17620, 101310, 102, 30512, 106613, 111186, 54926, 37729, 45829, 98369, 1811, 95221, 16144, 104195, 16995, 52591, 119930, 17792, 111482, 5486, 103760, 111528, 30512, 15682, 71289, 47884, 71289, 109315, 125231, 36785, 102677, 100927, 58942, 5486, 101908, 122924, 122558, 16556, 102456, 30926, 54926, 82973, 116825, 109749, 100909, 5486, 29504, 30512, 123680, 102639, 38144, 16144, 105843, 103350, 56051, 45829, 101662, 38144, 122521, 104309, 5486, 109453, 29295, 121602, 102334, 76739, 70563, 102741, 65575, 29295, 22656, 102700, 77181, 16995, 85791, 16995, 85791, 19732, 126362, 103792, 9174, 67645, 33121, 32977, 28190, 101828, 16995, 87177, 26854, 105272, 29295, 106116, 26854, 32149, 72661, 32335, 32977, 13177, 52591, 119930, 114420, 66383, 68759, 99959, 91062, 37823, 102540, 29295, 91763, 100472, 104468, 111476, 106518, 123470, 104735, 96, 119049, 20251, 44971, 16144, 87177, 103195, 59459, 88852, 112160, 34048, 22656, 17161, 113487, 90397, 233, 23954, 20834, 106518, 56051, 122412, 16556, 5486, 103242, 104599, 20230, 13177, 47884, 116826, 64121, 71289, 100389, 111, 126198, 112661, 122756, 5486, 126017, 118487, 33121, 54926, 109335, 124897, 32149, 91006, 19732, 104655, 32149, 33121, 36896, 30591, 121906, 16995, 116285, 5486, 57903, 33541, 66383, 103899, 107800, 33503, 36896, 102131, 105110, 81219, 85701, 15682, 27384, 30926, 26854, 109606, 38641, 1811, 114363, 103722, 16144, 105408, 20230, 17129, 78183, 78434, 66383, 117952, 33121, 5486, 37729, 45829, 115867, 104735, 96, 119049, 20251, 44971, 29295, 30591, 33121, 57980, 30591, 33121, 57980, 102677, 122756, 106633, 30512, 30591, 107674, 9174, 119049, 20251, 44971, 85707, 9080, 5486, 114363, 103722, 16144, 37823, 102040, 91482, 37823, 109519, 25333, 101559, 15682, 108895, 115791, 9174, 13177, 110589, 55031, 112160, 114262, 20230, 80988, 239, 105714, 31431, 17129, 109954, 118844, 15682, 114318, 111243, 27384, 102769, 26854, 20251, 44971, 118928, 94550, 38641, 1811, 103983, 20230, 108149, 112568, 16144, 113614, 16144, 103846, 1811, 110382, 16556, 80988, 239, 105714, 110104, 19732, 5486, 8107, 30512, 18655, 76947, 55031, 13177, 126017, 118487, 33121, 10646, 16556, 107202, 8239, 112, 54926, 100909, 115717, 33541, 9174, 106135, 15682, 5486, 32977, 43514, 85791, 25827, 108149, 112568, 16144, 48154, 36668, 107707, 103846, 38641, 76864, 198, 10110, 53900, 58426, 114667, 32149, 42891, 6447, 23954, 51330, 119049, 20251, 44971, 5486, 105408, 16144, 39880, 45923, 66953, 112900, 19732, 60868, 121057, 123017, 19732, 112160, 82973, 47260, 61398, 30512, 111299, 20230, 41920, 18904, 16144, 99695, 61398, 16556, 605, 111299, 20230, 78183, 28713, 76947, 5486, 119273, 104680, 20230, 119049, 123457, 18904, 109095, 109768, 47884, 104466, 71493, 37823, 123283, 32131, 91062, 29295, 103214 ]
[ 123606, 101732, 9174, 127880, 107803, 5486, 85707, 62004, 15682, 21555, 98, 101860, 32149, 67016, 100472, 123682, 110371, 20251, 44971, 118928, 94550, 30512, 21105, 103, 102518, 33503, 5486, 45163, 37507, 15682, 56965, 121953, 103470, 119436, 11883, 90962, 91062, 103223, 112197, 101083, 87177, 101983, 42891, 90620, 103950, 1811, 112599, 123085, 16556, 108895, 115791, 106518, 123470, 37823, 102040, 91482, 37823, 15682, 116216, 33334, 121140, 5486, 114363, 103722, 16144, 109519, 25333, 101559, 32977, 16995, 100604, 109900, 67645, 107404, 32149, 5486, 125559, 16556, 103242, 104599, 20230, 53508, 100, 62004, 124195, 101682, 107674, 198, 51330, 20251, 44971, 118928, 94550, 15682, 103242, 109519, 113173, 107118, 104736, 62004, 124195, 33334, 121140, 5486, 76739, 106826, 103906, 48552, 127091, 19732, 112361, 17620, 104770, 20230, 110731, 105879, 5486, 125559, 120523, 114218, 104698, 33563, 117126, 32977, 109431, 106608, 84389, 104435, 1811, 105026, 119930, 17792, 111482, 15682, 85701, 33503, 30512, 37087, 38144, 33563, 117126, 16144, 119318, 116310, 32943, 16556, 101682, 120761, 103082, 110371, 37823, 102040, 91482, 37823, 109519, 25333, 101559, 32977, 110745, 112495, 122412, 103378, 20230, 107991, 16144, 126194, 5486, 102208, 119208, 20230, 102532, 121568, 16556, 87447, 101275, 103792, 17792, 32977, 107991, 102677, 66327, 37823, 122908, 33035, 111331, 105408, 29295, 104712, 78183, 57980, 10646, 104309, 19732, 87177, 104482, 108176, 108680, 5486, 109453, 105459, 125030, 76947, 15682, 5486, 120066, 232, 101310, 254, 123628, 33014, 30512, 18904, 109095, 54926, 30297, 58942, 16556, 112672, 101682, 105784, 112607, 60632, 16144, 101182, 103242, 109519, 23039, 101399, 103306, 5486, 104736, 53283, 110731, 105272, 9174, 112599, 111476, 102433, 16556, 126017, 118487, 33121, 16144, 106613, 111186, 107407, 1272, 31640, 71689, 16144, 111482, 15682, 124226, 17792, 20230, 122485, 102083, 126832, 1811, 126913, 15682, 14888, 234, 126017, 32648, 70626, 109846, 5486, 111482, 103242, 104599, 15682, 124059, 32149, 1811, 102433, 14888, 234, 126017, 32648, 108396, 38093, 102351, 16144, 117591, 5486, 107384, 34171, 15682, 124059, 32149, 34617, 113127, 103195, 118855, 13177, 126017, 21388, 108493, 117503, 117434, 29295, 122401, 103646, 101200, 109846, 5486, 117434, 30512, 115320, 104127, 82533, 62004, 100934, 16144, 19732, 5486, 37026, 120577, 119049, 48634, 16556, 112258, 249, 58942, 126738, 39926, 18904, 109095, 54926, 16144, 19732, 77181, 5486, 37087, 47884, 108010, 30297, 66327, 117434, 118587, 40053, 11883, 39926, 104655, 32149, 123733, 100472, 61826, 102052, 36896, 90962, 91062, 103223, 10646, 107407, 16144, 111769, 108995, 32149, 9174, 114516, 125030, 76947, 5486, 90962, 91062, 103223, 116825, 105784, 102677, 104468, 5486, 113116, 9554, 105352, 99959, 126989, 29295, 119448, 16995, 109900, 16556, 112160, 95221, 20230, 106848, 29295, 103130, 104127, 114732, 33334, 8107, 108385, 31431, 32977, 16995, 104533, 32149, 9174, 114516, 103306, 16144, 113797, 16906, 111, 112649, 124233, 30369, 109606, 103195, 1811, 102433, 106222, 29295, 22656, 115519, 30512, 17701, 106824, 83747, 45829, 45736, 106036, 95, 33208, 103359, 105226, 20230, 108167, 103214, 64121, 36896, 106518, 62004, 57980, 115079, 71289, 72342, 57980, 66383, 112844, 105879, 30591, 104984, 5486, 104465, 17792, 30832, 124226, 17792, 30832, 19732, 20834, 106518, 54926, 111482, 16144, 33014, 20230, 67645, 103171, 104721, 33208, 29295, 125119, 30369, 104865, 5486, 126843, 58426, 103350, 107328, 30512, 102178, 111665, 15024, 5486, 108895, 16995, 100472, 109519, 25333, 101559, 30512, 101662, 38144, 104533, 32149, 5486, 20251, 44971, 118928, 94550, 30512, 118935, 31431, 17701, 104028, 110162, 5486, 109431, 102769, 26854, 103359, 105226, 30512, 19732, 76947, 5486, 127032, 30512, 121771, 98369, 106518, 102189, 111482, 29295, 51385, 64209, 39926, 8107, 106036, 95, 30512, 30358, 101832, 110071, 101200, 5486, 29504, 103306, 89151, 119063, 20230, 78698, 107290, 115962, 105898, 16995, 119150, 9174, 33334, 78183, 112586, 271, 43511, 105352, 22656, 102700, 77181, 5486, 122013, 120740, 101908, 122924, 16144, 57903, 24273, 16144, 108010, 114774, 5486, 83947, 6271, 237, 113245, 45829, 67645, 102944, 113838, 76622, 24273, 104309, 32977, 126362, 110731, 1811, 26854, 32149, 72661, 124042, 46028, 16144, 123085, 105352, 66953, 71493, 107446, 30512, 106839, 17701, 17663, 125231, 118816, 112844, 109453, 16144, 37689, 91774, 15682, 127359, 99959, 91062, 37823, 102540, 32977, 15120, 19113, 15120, 106808, 37087, 38144, 83812, 249, 13153, 103195, 9174, 22656, 102700, 16144, 39880, 68759, 118091, 113883, 107624, 95001, 77181, 102433, 16144, 68759, 68759, 105459, 117758, 107624, 106053, 32977, 103424, 47884, 36896, 118314, 31431, 107608, 17129, 106358, 115364, 47260, 47260, 42634, 29295, 22398, 25005, 225, 19732, 119539, 110276, 10646, 36896, 105994, 33503, 21105, 243, 5486, 114516, 33503, 21105, 243, 5486, 110219, 16144, 121410, 9080, 29295, 108167, 114941, 17663, 107461, 52414, 30512, 122396, 10646, 36896, 51330, 22656, 30512, 98499, 104127, 116499, 105465, 110276, 66383, 95604, 99750, 101067, 29295, 108385, 72342, 125398, 9174, 13177, 103760, 106759, 113461, 55031, 5486, 108895, 21105, 103, 50834, 101668, 16995, 124324, 66383, 95604, 101083, 56965, 16144, 33710, 64178, 16556, 104862, 16995, 50520, 108, 62004, 124195, 5486, 107202, 106624, 26854, 76947, 103801, 103836, 33334, 103760, 98369, 102052, 112371, 104328, 33334, 125683, 62004, 56051, 16995, 15120, 119752, 103195, 1811, 128001, 128000, 567, 34676, 103293, 9080, 116491, 11199, 13177, 36827, 105600, 120824, 116137, 10646, 102404, 78244, 5486, 89151, 37689, 15682, 1981, 109370, 27384, 105156, 108761, 29295, 118328, 105651, 198, 10110, 105838, 23954, 116137, 125525, 104829, 31958, 102216, 27384, 105156, 108761, 29295, 5486, 9080, 116137, 116690, 20230, 50520, 111, 102800, 114363, 103722, 46729, 33503, 30512, 126238, 105047, 104394, 43167, 15024, 115515, 123470, 103359, 9080, 113495, 109853, 108975, 104760, 107113, 105908, 66115, 9080, 78183, 102518, 1811, 104829, 27384, 105156, 108761, 15682, 5486, 36827, 105600, 20230, 118835, 108789, 30512, 32018, 109013, 19732, 107001, 37026, 120577, 102404, 78244, 109853, 111476, 89151, 37689, 29295, 108044, 78183, 107462, 100604, 19732, 102158, 100472, 102677, 9174, 104829, 27384, 105156, 108761, 15682, 44597, 9080, 103856, 103293, 110745, 105156, 108761, 102697, 20230, 114363, 103722, 46729, 33503, 30512, 104394, 50834, 5486, 103664, 25963, 82973, 20230, 78183, 28713, 76947, 9080, 116137, 116690, 109853, 104760, 105242, 1811, 108975, 104760, 110284, 30046, 33503, 103732, 104533, 5486, 104829, 27384, 105156, 108761, 15682, 13177, 127880, 102404, 78244, 29295, 101832, 100204, 103302, 102639, 124195, 102433, 20230, 108044, 78183, 103836, 66383, 43032, 103854, 5486, 104195, 16995, 16937, 102395, 99750, 30512, 20379, 56051, 9174, 53900, 36896, 198, 103188, 86436, 16144, 109606, 29295, 111179, 17905, 54926, 28713, 102802, 123085, 110792, 116690, 29295, 109161, 47884, 109020, 113637, 109161, 122523, 108476, 30512, 9080, 101538, 10110, 36827, 105600, 120732, 116137, 29504, 120824, 99397, 16556, 64889, 43514, 102769, 110615, 32149, 1811, 99849, 110162, 115364, 49988, 23538, 126867, 102663, 37823, 116825, 76622, 102204, 100604, 32149, 66383, 95604, 110999, 6079, 101, 16144, 122984, 126198, 102677, 9174, 66115, 9953, 20713, 46702, 117073, 104829, 27384, 105156, 108761, 16144, 36827, 105600, 111363, 13177, 118835, 108789, 105318, 10646, 15682, 5486, 36827, 105600, 120824, 116137, 20230, 77195, 30512, 47000, 107674, 102944, 19732, 102433, 110366, 77181, 101682, 76622, 82533, 62004, 102204, 101732, 119520, 5486, 116137, 29504, 105212, 116690, 30046, 15682, 13177, 126843, 118835, 108789, 57903, 50834, 119775, 104195, 104873, 107001, 29295, 112160, 95221, 20230, 103435, 116, 81742, 30512, 50338, 104662, 54926, 102052, 36827, 105600, 120824, 116137, 108680, 126636, 124533, 26854, 104662, 64889, 29295, 109215, 111769, 32149, 5486, 102677, 112973, 27384, 105156, 108761, 16144, 22656, 37689, 36785, 66383, 111983, 102780, 56051, 9174, 102212, 101129, 107129, 117406, 61075, 50021, 29295, 118835, 108789, 19732, 125844, 18904, 30512, 32018, 109013, 13177, 36827, 105600, 102404, 78244, 10646, 109853, 5486, 104829, 27384, 105156, 108761, 15682, 112303, 102687, 120824, 99397, 71689, 20230, 102433, 16144, 95543, 102404, 30512, 104394, 119188, 110792, 120270, 114475, 107674, 1811, 104829, 27384, 105156, 108761, 15682, 48915, 39209, 33710, 84477, 30512, 33035, 100204, 38144, 102433, 105212, 110366, 20230, 122984, 54926, 104466, 64467, 20379, 1811, 17663, 16556, 20230, 102433, 105212, 110366, 20230, 108044, 78183, 103836, 102677, 9174, 104829, 27384, 105156, 108761, 15682, 66115, 9953, 78250, 9080, 5486, 102321, 107430, 126636, 105156, 108761, 103306, 85707, 107436, 5486, 9080, 116137, 29295, 108761, 19361, 112607, 30512, 36668, 105714, 54926, 112303, 102687, 10110, 116137, 29504, 13372, 9458, 106063, 102687, 105021, 20251, 110548, 103705, 7705, 30512, 120824, 103468, 109807, 46702, 9080, 74482, 5486, 100927, 107430, 102351, 30512, 103359, 47523, 20230, 56051, 64810, 101198, 118567, 16556, 13177, 10110, 36827, 105600, 15682, 7705, 116137, 29504, 30512, 120824, 99397, 56051, 118145, 5486, 64209, 55031, 118835, 30369, 112973, 104712, 66383, 102158, 100472, 9174, 116137, 125525, 104829, 31958, 102216, 27384, 105156, 108761, 29295, 109161, 33208, 56051, 9080, 116137, 116690, 111363, 117271, 109853, 114363, 103722, 46729, 19732, 111800, 118219, 107113, 105908, 31958, 33503, 32149, 110276, 1811, 112303, 102687, 120824, 99397, 5486, 36827, 105600, 111363, 13177, 118835, 108789, 105318, 10646, 5486, 122270, 102212, 101129, 107129, 117406, 61075, 50021, 117758, 106759, 102181, 101682, 76622, 108167, 120853, 33476, 19732, 106307, 102334, 13177, 53283, 9080, 105647, 10646, 27384, 105156, 108761, 16144, 104195, 110567, 110783, 110095, 16144, 118124, 110366, 102052, 99849, 122291, 104865, 9174, 44597, 9080, 35424, 25580, 66224, 39177, 110745, 105156, 108761, 102697, 16556, 27704, 117864, 13177, 126238, 105047, 108975, 104760, 10646, 15682, 5486, 114363, 103722, 46729, 126027, 103129, 78244, 30512, 104655, 47884, 112973, 113173, 103351, 1811, 109846, 116898, 75694, 27704, 17129, 104533, 5486, 104829, 27384, 105156, 108761, 29295, 15120, 24273, 112535, 17129, 47884, 15024, 121697, 28713, 66327, 122571, 102433, 19732, 89151, 16144, 120987, 78228, 70141, 16144, 116690, 126694, 31431, 106956, 103378, 36785, 111329, 109606, 16144, 36827, 105600, 102404, 78244, 15682, 66115, 9953, 20713, 46702, 9080, 5486, 106848, 16556, 87447, 32149, 103468, 64810, 101198, 96452, 115247, 105721, 35287, 56965, 104983, 20230, 107850, 102802, 118158, 1811, 20834, 105350, 30046, 29295, 113938, 5486, 112303, 102687, 120824, 99397, 16144, 32938, 99750, 30512, 32018, 109013, 1811, 101067, 23187, 48915, 103351, 9174, 116137, 29504, 27384, 105156, 108761, 102697, 15682, 30926, 25580, 125104, 56051, 61304, 30046, 103378, 29295, 33655, 105262, 116229, 30512, 103768, 112167, 103792, 1811, 125053, 17161, 16144, 102717, 32149, 5486, 106691, 18655, 103234, 126198, 61304, 112919, 39850, 102494, 32977, 19012, 110, 107121, 15024, 5486, 127177, 61304, 30046, 32977, 107740, 108608, 1811, 105284, 99397, 113115, 54926, 27384, 105156, 108761, 16144, 103899, 58942, 15682, 40265, 85707, 36896, 198, 10110, 36827, 105600, 32977, 7705, 116137, 29504, 30512, 120824, 99397, 56051, 29295, 103836, 29295, 5486, 118326, 117401, 16556, 109988, 115737, 100472, 24273, 104680, 30512, 120824, 101832, 5486, 64209, 55031, 118835, 30369, 105110, 37507, 26854, 65316, 19732, 115791, 66383, 116229, 20230, 107121, 100472, 1811, 102433, 55031, 120824, 116137, 31634, 109311, 114475, 107674, 116137, 29504, 29295, 5486, 118835, 108789, 30512, 77195, 103306, 20379, 56051, 116421, 105933, 21405, 102321, 103351, 9174, 58426, 74482, 5486, 118705, 24273, 117084, 13177, 198, 120824, 116137, 56051, 16995, 105110, 14382, 64209, 55031, 118835, 30369, 112973, 126521, 66383, 116952, 37656, 103646, 29295, 5486, 17663, 16556, 20230, 102404, 78244, 16144, 103682, 27869, 233, 15682, 119448, 47884, 108285, 29295, 106358, 1811, 116137, 29504, 105212, 116690, 30046, 15682, 13177, 27384, 30926, 26854, 39177, 23538, 103378, 20230, 5486, 108285, 78943, 126913, 29295, 104398, 64209, 16144, 61633, 30512, 124237, 30297, 125231, 103351, 66383, 101128, 242, 71289, 104004, 9174, 44597, 9080, 103856, 103293, 16144, 126238, 105047, 108975, 104760, 16556, 104829, 27384, 105156, 108761, 15682, 13177, 102433, 19732, 87177, 109768, 104533, 13870, 223, 106528, 101559, 19732, 87177, 103792, 101200, 36785, 1811, 112424, 5486, 112424, 19732, 120953, 39926, 30591, 103171, 20230, 53229, 108630, 20230, 107608, 116043, 54926, 104865, 1811, 87177, 15024, 40862, 117201, 50338, 104662, 108608, 109606, 26854, 110115, 66383, 43032, 103854, 28713, 102677, 9174, 108975, 104760, 16144, 20834, 105350, 30046, 112028, 116537, 13177, 27384, 105156, 108761, 15682, 37271, 32977, 16906, 111, 28741, 26854, 25333, 9554, 50338, 104662, 30512, 32018, 62004, 126386, 101200, 36785, 1811, 105110, 81219, 5486, 112185, 108881, 31431, 40862, 105262, 125396, 107407, 1811, 110176, 105212, 15682, 50338, 104662, 121254, 107674, 121837, 30512, 106307, 105784, 125231, 36785, 66383, 102158, 100472, 59459, 102741, 65299, 33710, 104023, 74396, 101129, 115981, 75863, 23954, 51330, 77219, 30512, 98499, 102189, 99750, 101067, 15682, 5486, 104829, 27384, 105156, 108761, 102677, 104468, 108008, 20230, 122975, 105110, 100604, 114516, 36785, 102677, 102944, 38641, 9174, 116137, 125525, 116229, 77181, 13177, 116137, 29504, 30512, 120824, 99397, 56051, 29295, 103836, 29295, 5486, 118326, 117401, 16556, 109988, 115737, 100472, 24273, 104680, 30512, 120824, 101832, 5486, 64209, 55031, 118835, 30369, 105110, 37507, 26854, 65316, 19732, 115791, 118587, 13177, 120824, 116137, 56051, 16995, 105110, 14382, 64209, 55031, 118835, 30369, 112973, 126521, 66383, 116952, 37656, 127145, 1811, 59739, 109709, 123085, 110366, 55031, 120824, 116137, 16144, 110526, 30512, 20834, 107113, 5486, 102677, 25580, 29172, 30512, 108167, 17297, 102639, 90620, 76622, 16556, 5486, 120824, 116137, 39926, 118835, 33121, 5486, 102677, 36668, 105714, 15682, 112361, 38641, 1811, 110229, 29295, 110371, 77219, 103732, 104984, 104829, 27384, 105156, 108761, 16144, 89151, 37689, 15682, 13177, 103435, 116, 81742, 30512, 50338, 104662, 54926, 102052, 36827, 105600, 120824, 116137, 108680, 126636, 124533, 26854, 104662, 64889, 29295, 109215, 66383, 95604, 102944, 36785, 102131, 38641, 9174, 116137, 125525, 116229, 20230, 107121, 100472, 17161, 78244, 19732, 5486, 863, 89151, 37689, 863, 20230, 124349, 115991, 103188, 105557, 33541, 9174, 33334, 27929, 124749, 5486, 33671, 16144, 89753, 33121, 122291, 106046, 123671, 33541, 9174, 126843, 123085, 110366, 55031, 120824, 116137, 56051, 29295, 103836, 102677, 104468, 30926, 103350, 111769, 19732, 95543, 105242, 103646, 105879, 108048, 103378, 116952, 37656, 39926, 64121, 28713, 119520, 102433, 16144, 95543, 102404, 15682, 33334, 118969, 33503, 104435, 105879, 5486, 103435, 116 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 101732, 9174, 127880, 107803, 5486, 85707, 62004, 15682, 21555, 98, 101860, 32149, 67016, 100472, 123682, 110371, 20251, 44971, 118928, 94550, 30512, 21105, 103, 102518, 33503, 5486, 45163, 37507, 15682, 56965, 121953, 103470, 119436, 11883, 90962, 91062, 103223, 112197, 101083, 87177, 101983, 42891, 90620, 103950, 1811, 112599, 123085, 16556, 108895, 115791, 106518, 123470, 37823, 102040, 91482, 37823, 15682, 116216, 33334, 121140, 5486, 114363, 103722, 16144, 109519, 25333, 101559, 32977, 16995, 100604, 109900, 67645, 107404, 32149, 5486, 125559, 16556, 103242, 104599, 20230, 53508, 100, 62004, 124195, 101682, 107674, 198, 51330, 20251, 44971, 118928, 94550, 15682, 103242, 109519, 113173, 107118, 104736, 62004, 124195, 33334, 121140, 5486, 76739, 106826, 103906, 48552, 127091, 19732, 112361, 17620, 104770, 20230, 110731, 105879, 5486, 125559, 120523, 114218, 104698, 33563, 117126, 32977, 109431, 106608, 84389, 104435, 1811, 105026, 119930, 17792, 111482, 15682, 85701, 33503, 30512, 37087, 38144, 33563, 117126, 16144, 119318, 116310, 32943, 16556, 101682, 120761, 103082, 110371, 37823, 102040, 91482, 37823, 109519, 25333, 101559, 32977, 110745, 112495, 122412, 103378, 20230, 107991, 16144, 126194, 5486, 102208, 119208, 20230, 102532, 121568, 16556, 87447, 101275, 103792, 17792, 32977, 107991, 102677, 66327, 37823, 122908, 33035, 111331, 105408, 29295, 104712, 78183, 57980, 10646, 104309, 19732, 87177, 104482, 108176, 108680, 5486, 109453, 105459, 125030, 76947, 15682, 5486, 120066, 232, 101310, 254, 123628, 33014, 30512, 18904, 109095, 54926, 30297, 58942, 16556, 112672, 101682, 105784, 112607, 60632, 16144, 101182, 103242, 109519, 23039, 101399, 103306, 5486, 104736, 53283, 110731, 105272, 9174, 112599, 111476, 102433, 16556, 126017, 118487, 33121, 16144, 106613, 111186, 107407, 1272, 31640, 71689, 16144, 111482, 15682, 124226, 17792, 20230, 122485, 102083, 126832, 1811, 126913, 15682, 14888, 234, 126017, 32648, 70626, 109846, 5486, 111482, 103242, 104599, 15682, 124059, 32149, 1811, 102433, 14888, 234, 126017, 32648, 108396, 38093, 102351, 16144, 117591, 5486, 107384, 34171, 15682, 124059, 32149, 34617, 113127, 103195, 118855, 13177, 126017, 21388, 108493, 117503, 117434, 29295, 122401, 103646, 101200, 109846, 5486, 117434, 30512, 115320, 104127, 82533, 62004, 100934, 16144, 19732, 5486, 37026, 120577, 119049, 48634, 16556, 112258, 249, 58942, 126738, 39926, 18904, 109095, 54926, 16144, 19732, 77181, 5486, 37087, 47884, 108010, 30297, 66327, 117434, 118587, 40053, 11883, 39926, 104655, 32149, 123733, 100472, 61826, 102052, 36896, 90962, 91062, 103223, 10646, 107407, 16144, 111769, 108995, 32149, 9174, 114516, 125030, 76947, 5486, 90962, 91062, 103223, 116825, 105784, 102677, 104468, 5486, 113116, 9554, 105352, 99959, 126989, 29295, 119448, 16995, 109900, 16556, 112160, 95221, 20230, 106848, 29295, 103130, 104127, 114732, 33334, 8107, 108385, 31431, 32977, 16995, 104533, 32149, 9174, 114516, 103306, 16144, 113797, 16906, 111, 112649, 124233, 30369, 109606, 103195, 1811, 102433, 106222, 29295, 22656, 115519, 30512, 17701, 106824, 83747, 45829, 45736, 106036, 95, 33208, 103359, 105226, 20230, 108167, 103214, 64121, 36896, 106518, 62004, 57980, 115079, 71289, 72342, 57980, 66383, 112844, 105879, 30591, 104984, 5486, 104465, 17792, 30832, 124226, 17792, 30832, 19732, 20834, 106518, 54926, 111482, 16144, 33014, 20230, 67645, 103171, 104721, 33208, 29295, 125119, 30369, 104865, 5486, 126843, 58426, 103350, 107328, 30512, 102178, 111665, 15024, 5486, 108895, 16995, 100472, 109519, 25333, 101559, 30512, 101662, 38144, 104533, 32149, 5486, 20251, 44971, 118928, 94550, 30512, 118935, 31431, 17701, 104028, 110162, 5486, 109431, 102769, 26854, 103359, 105226, 30512, 19732, 76947, 5486, 127032, 30512, 121771, 98369, 106518, 102189, 111482, 29295, 51385, 64209, 39926, 8107, 106036, 95, 30512, 30358, 101832, 110071, 101200, 5486, 29504, 103306, 89151, 119063, 20230, 78698, 107290, 115962, 105898, 16995, 119150, 9174, 33334, 78183, 112586, 271, 43511, 105352, 22656, 102700, 77181, 5486, 122013, 120740, 101908, 122924, 16144, 57903, 24273, 16144, 108010, 114774, 5486, 83947, 6271, 237, 113245, 45829, 67645, 102944, 113838, 76622, 24273, 104309, 32977, 126362, 110731, 1811, 26854, 32149, 72661, 124042, 46028, 16144, 123085, 105352, 66953, 71493, 107446, 30512, 106839, 17701, 17663, 125231, 118816, 112844, 109453, 16144, 37689, 91774, 15682, 127359, 99959, 91062, 37823, 102540, 32977, 15120, 19113, 15120, 106808, 37087, 38144, 83812, 249, 13153, 103195, 9174, 22656, 102700, 16144, 39880, 68759, 118091, 113883, 107624, 95001, 77181, 102433, 16144, 68759, 68759, 105459, 117758, 107624, 106053, 32977, 103424, 47884, 36896, 118314, 31431, 107608, 17129, 106358, 115364, 47260, 47260, 42634, 29295, 22398, 25005, 225, 19732, 119539, 110276, 10646, 36896, 105994, 33503, 21105, 243, 5486, 114516, 33503, 21105, 243, 5486, 110219, 16144, 121410, 9080, 29295, 108167, 114941, 17663, 107461, 52414, 30512, 122396, 10646, 36896, 51330, 22656, 30512, 98499, 104127, 116499, 105465, 110276, 66383, 95604, 99750, 101067, 29295, 108385, 72342, 125398, 9174, 13177, 103760, 106759, 113461, 55031, 5486, 108895, 21105, 103, 50834, 101668, 16995, 124324, 66383, 95604, 101083, 56965, 16144, 33710, 64178, 16556, 104862, 16995, 50520, 108, 62004, 124195, 5486, 107202, 106624, 26854, 76947, 103801, 103836, 33334, 103760, 98369, 102052, 112371, 104328, 33334, 125683, 62004, 56051, 16995, 15120, 119752, 103195, 1811, 128001, 128000, 567, 34676, 103293, 9080, 116491, 11199, 13177, 36827, 105600, 120824, 116137, 10646, 102404, 78244, 5486, 89151, 37689, 15682, 1981, 109370, 27384, 105156, 108761, 29295, 118328, 105651, 198, 10110, 105838, 23954, 116137, 125525, 104829, 31958, 102216, 27384, 105156, 108761, 29295, 5486, 9080, 116137, 116690, 20230, 50520, 111, 102800, 114363, 103722, 46729, 33503, 30512, 126238, 105047, 104394, 43167, 15024, 115515, 123470, 103359, 9080, 113495, 109853, 108975, 104760, 107113, 105908, 66115, 9080, 78183, 102518, 1811, 104829, 27384, 105156, 108761, 15682, 5486, 36827, 105600, 20230, 118835, 108789, 30512, 32018, 109013, 19732, 107001, 37026, 120577, 102404, 78244, 109853, 111476, 89151, 37689, 29295, 108044, 78183, 107462, 100604, 19732, 102158, 100472, 102677, 9174, 104829, 27384, 105156, 108761, 15682, 44597, 9080, 103856, 103293, 110745, 105156, 108761, 102697, 20230, 114363, 103722, 46729, 33503, 30512, 104394, 50834, 5486, 103664, 25963, 82973, 20230, 78183, 28713, 76947, 9080, 116137, 116690, 109853, 104760, 105242, 1811, 108975, 104760, 110284, 30046, 33503, 103732, 104533, 5486, 104829, 27384, 105156, 108761, 15682, 13177, 127880, 102404, 78244, 29295, 101832, 100204, 103302, 102639, 124195, 102433, 20230, 108044, 78183, 103836, 66383, 43032, 103854, 5486, 104195, 16995, 16937, 102395, 99750, 30512, 20379, 56051, 9174, 53900, 36896, 198, 103188, 86436, 16144, 109606, 29295, 111179, 17905, 54926, 28713, 102802, 123085, 110792, 116690, 29295, 109161, 47884, 109020, 113637, 109161, 122523, 108476, 30512, 9080, 101538, 10110, 36827, 105600, 120732, 116137, 29504, 120824, 99397, 16556, 64889, 43514, 102769, 110615, 32149, 1811, 99849, 110162, 115364, 49988, 23538, 126867, 102663, 37823, 116825, 76622, 102204, 100604, 32149, 66383, 95604, 110999, 6079, 101, 16144, 122984, 126198, 102677, 9174, 66115, 9953, 20713, 46702, 117073, 104829, 27384, 105156, 108761, 16144, 36827, 105600, 111363, 13177, 118835, 108789, 105318, 10646, 15682, 5486, 36827, 105600, 120824, 116137, 20230, 77195, 30512, 47000, 107674, 102944, 19732, 102433, 110366, 77181, 101682, 76622, 82533, 62004, 102204, 101732, 119520, 5486, 116137, 29504, 105212, 116690, 30046, 15682, 13177, 126843, 118835, 108789, 57903, 50834, 119775, 104195, 104873, 107001, 29295, 112160, 95221, 20230, 103435, 116, 81742, 30512, 50338, 104662, 54926, 102052, 36827, 105600, 120824, 116137, 108680, 126636, 124533, 26854, 104662, 64889, 29295, 109215, 111769, 32149, 5486, 102677, 112973, 27384, 105156, 108761, 16144, 22656, 37689, 36785, 66383, 111983, 102780, 56051, 9174, 102212, 101129, 107129, 117406, 61075, 50021, 29295, 118835, 108789, 19732, 125844, 18904, 30512, 32018, 109013, 13177, 36827, 105600, 102404, 78244, 10646, 109853, 5486, 104829, 27384, 105156, 108761, 15682, 112303, 102687, 120824, 99397, 71689, 20230, 102433, 16144, 95543, 102404, 30512, 104394, 119188, 110792, 120270, 114475, 107674, 1811, 104829, 27384, 105156, 108761, 15682, 48915, 39209, 33710, 84477, 30512, 33035, 100204, 38144, 102433, 105212, 110366, 20230, 122984, 54926, 104466, 64467, 20379, 1811, 17663, 16556, 20230, 102433, 105212, 110366, 20230, 108044, 78183, 103836, 102677, 9174, 104829, 27384, 105156, 108761, 15682, 66115, 9953, 78250, 9080, 5486, 102321, 107430, 126636, 105156, 108761, 103306, 85707, 107436, 5486, 9080, 116137, 29295, 108761, 19361, 112607, 30512, 36668, 105714, 54926, 112303, 102687, 10110, 116137, 29504, 13372, 9458, 106063, 102687, 105021, 20251, 110548, 103705, 7705, 30512, 120824, 103468, 109807, 46702, 9080, 74482, 5486, 100927, 107430, 102351, 30512, 103359, 47523, 20230, 56051, 64810, 101198, 118567, 16556, 13177, 10110, 36827, 105600, 15682, 7705, 116137, 29504, 30512, 120824, 99397, 56051, 118145, 5486, 64209, 55031, 118835, 30369, 112973, 104712, 66383, 102158, 100472, 9174, 116137, 125525, 104829, 31958, 102216, 27384, 105156, 108761, 29295, 109161, 33208, 56051, 9080, 116137, 116690, 111363, 117271, 109853, 114363, 103722, 46729, 19732, 111800, 118219, 107113, 105908, 31958, 33503, 32149, 110276, 1811, 112303, 102687, 120824, 99397, 5486, 36827, 105600, 111363, 13177, 118835, 108789, 105318, 10646, 5486, 122270, 102212, 101129, 107129, 117406, 61075, 50021, 117758, 106759, 102181, 101682, 76622, 108167, 120853, 33476, 19732, 106307, 102334, 13177, 53283, 9080, 105647, 10646, 27384, 105156, 108761, 16144, 104195, 110567, 110783, 110095, 16144, 118124, 110366, 102052, 99849, 122291, 104865, 9174, 44597, 9080, 35424, 25580, 66224, 39177, 110745, 105156, 108761, 102697, 16556, 27704, 117864, 13177, 126238, 105047, 108975, 104760, 10646, 15682, 5486, 114363, 103722, 46729, 126027, 103129, 78244, 30512, 104655, 47884, 112973, 113173, 103351, 1811, 109846, 116898, 75694, 27704, 17129, 104533, 5486, 104829, 27384, 105156, 108761, 29295, 15120, 24273, 112535, 17129, 47884, 15024, 121697, 28713, 66327, 122571, 102433, 19732, 89151, 16144, 120987, 78228, 70141, 16144, 116690, 126694, 31431, 106956, 103378, 36785, 111329, 109606, 16144, 36827, 105600, 102404, 78244, 15682, 66115, 9953, 20713, 46702, 9080, 5486, 106848, 16556, 87447, 32149, 103468, 64810, 101198, 96452, 115247, 105721, 35287, 56965, 104983, 20230, 107850, 102802, 118158, 1811, 20834, 105350, 30046, 29295, 113938, 5486, 112303, 102687, 120824, 99397, 16144, 32938, 99750, 30512, 32018, 109013, 1811, 101067, 23187, 48915, 103351, 9174, 116137, 29504, 27384, 105156, 108761, 102697, 15682, 30926, 25580, 125104, 56051, 61304, 30046, 103378, 29295, 33655, 105262, 116229, 30512, 103768, 112167, 103792, 1811, 125053, 17161, 16144, 102717, 32149, 5486, 106691, 18655, 103234, 126198, 61304, 112919, 39850, 102494, 32977, 19012, 110, 107121, 15024, 5486, 127177, 61304, 30046, 32977, 107740, 108608, 1811, 105284, 99397, 113115, 54926, 27384, 105156, 108761, 16144, 103899, 58942, 15682, 40265, 85707, 36896, 198, 10110, 36827, 105600, 32977, 7705, 116137, 29504, 30512, 120824, 99397, 56051, 29295, 103836, 29295, 5486, 118326, 117401, 16556, 109988, 115737, 100472, 24273, 104680, 30512, 120824, 101832, 5486, 64209, 55031, 118835, 30369, 105110, 37507, 26854, 65316, 19732, 115791, 66383, 116229, 20230, 107121, 100472, 1811, 102433, 55031, 120824, 116137, 31634, 109311, 114475, 107674, 116137, 29504, 29295, 5486, 118835, 108789, 30512, 77195, 103306, 20379, 56051, 116421, 105933, 21405, 102321, 103351, 9174, 58426, 74482, 5486, 118705, 24273, 117084, 13177, 198, 120824, 116137, 56051, 16995, 105110, 14382, 64209, 55031, 118835, 30369, 112973, 126521, 66383, 116952, 37656, 103646, 29295, 5486, 17663, 16556, 20230, 102404, 78244, 16144, 103682, 27869, 233, 15682, 119448, 47884, 108285, 29295, 106358, 1811, 116137, 29504, 105212, 116690, 30046, 15682, 13177, 27384, 30926, 26854, 39177, 23538, 103378, 20230, 5486, 108285, 78943, 126913, 29295, 104398, 64209, 16144, 61633, 30512, 124237, 30297, 125231, 103351, 66383, 101128, 242, 71289, 104004, 9174, 44597, 9080, 103856, 103293, 16144, 126238, 105047, 108975, 104760, 16556, 104829, 27384, 105156, 108761, 15682, 13177, 102433, 19732, 87177, 109768, 104533, 13870, 223, 106528, 101559, 19732, 87177, 103792, 101200, 36785, 1811, 112424, 5486, 112424, 19732, 120953, 39926, 30591, 103171, 20230, 53229, 108630, 20230, 107608, 116043, 54926, 104865, 1811, 87177, 15024, 40862, 117201, 50338, 104662, 108608, 109606, 26854, 110115, 66383, 43032, 103854, 28713, 102677, 9174, 108975, 104760, 16144, 20834, 105350, 30046, 112028, 116537, 13177, 27384, 105156, 108761, 15682, 37271, 32977, 16906, 111, 28741, 26854, 25333, 9554, 50338, 104662, 30512, 32018, 62004, 126386, 101200, 36785, 1811, 105110, 81219, 5486, 112185, 108881, 31431, 40862, 105262, 125396, 107407, 1811, 110176, 105212, 15682, 50338, 104662, 121254, 107674, 121837, 30512, 106307, 105784, 125231, 36785, 66383, 102158, 100472, 59459, 102741, 65299, 33710, 104023, 74396, 101129, 115981, 75863, 23954, 51330, 77219, 30512, 98499, 102189, 99750, 101067, 15682, 5486, 104829, 27384, 105156, 108761, 102677, 104468, 108008, 20230, 122975, 105110, 100604, 114516, 36785, 102677, 102944, 38641, 9174, 116137, 125525, 116229, 77181, 13177, 116137, 29504, 30512, 120824, 99397, 56051, 29295, 103836, 29295, 5486, 118326, 117401, 16556, 109988, 115737, 100472, 24273, 104680, 30512, 120824, 101832, 5486, 64209, 55031, 118835, 30369, 105110, 37507, 26854, 65316, 19732, 115791, 118587, 13177, 120824, 116137, 56051, 16995, 105110, 14382, 64209, 55031, 118835, 30369, 112973, 126521, 66383, 116952, 37656, 127145, 1811, 59739, 109709, 123085, 110366, 55031, 120824, 116137, 16144, 110526, 30512, 20834, 107113, 5486, 102677, 25580, 29172, 30512, 108167, 17297, 102639, 90620, 76622, 16556, 5486, 120824, 116137, 39926, 118835, 33121, 5486, 102677, 36668, 105714, 15682, 112361, 38641, 1811, 110229, 29295, 110371, 77219, 103732, 104984, 104829, 27384, 105156, 108761, 16144, 89151, 37689, 15682, 13177, 103435, 116, 81742, 30512, 50338, 104662, 54926, 102052, 36827, 105600, 120824, 116137, 108680, 126636, 124533, 26854, 104662, 64889, 29295, 109215, 66383, 95604, 102944, 36785, 102131, 38641, 9174, 116137, 125525, 116229, 20230, 107121, 100472, 17161, 78244, 19732, 5486, 863, 89151, 37689, 863, 20230, 124349, 115991, 103188, 105557, 33541, 9174, 33334, 27929, 124749, 5486, 33671, 16144, 89753, 33121, 122291, 106046, 123671, 33541, 9174, 126843, 123085, 110366, 55031, 120824, 116137, 56051, 29295, 103836, 102677, 104468, 30926, 103350, 111769, 19732, 95543, 105242, 103646, 105879, 108048, 103378, 116952, 37656, 39926, 64121, 28713, 119520, 102433, 16144, 95543, 102404, 15682, 33334, 118969, 33503, 104435, 105879, 5486, 103435, 116 ]
[ 81742, 30512, 50338, 104662, 54926, 103846, 120332, 105226, 103306, 36827, 105600, 120824, 116137, 30512, 29172, 81742, 56051, 100909, 116446, 64121, 28713, 9174, 16995, 17129, 103296, 16144, 102404, 78244, 19732, 100543, 249, 16555, 122, 115991, 103188, 105557, 38144, 115464, 16556, 122975, 103082, 107515, 1811, 102433, 16144, 95543, 102404, 20230, 102802, 121710, 31431, 39926, 33671, 104680, 19732, 103001, 246, 30512, 30358, 101832, 100934, 105879, 109954, 1811, 103001, 246, 59739, 50834, 16144, 105586, 25287, 109904, 123120, 80805, 102514, 16073, 38641, 1811, 128001, 128000, 11144, 108134, 64810, 123283, 37823, 103906, 20230, 108167, 103214, 104004, 111942, 103057, 29245, 245, 61826, 5486, 29172, 120988, 61826, 113115, 54926, 103359, 105226, 58426, 21, 21909, 112479, 118899, 5486, 914, 8107, 56965, 105352, 27384, 112495, 30590, 110441, 29295, 102404, 21990, 127145, 9174, 2550, 19, 8107, 605, 9953, 49409, 119194, 101778, 24273, 123746, 30590, 110441, 5486, 717, 9953, 46091, 111059, 15682, 30369, 32149, 123746, 30590, 110441, 198, 2550, 20, 8107, 16, 9953, 108469, 101365, 9458, 115891, 47095, 27384, 110441, 126462, 198, 2550, 22, 8107, 20, 9953, 115933, 116581, 102687, 49409, 61786, 34048, 30590, 110441, 198, 1049, 15, 8107, 605, 9953, 116750, 18655, 72099, 61786, 34048, 30590, 110441, 198, 1049, 16, 8107, 18, 9953, 117813, 103911, 30590, 110441, 198, 1049, 18, 8107, 24, 9953, 95598, 104284, 123746, 30590, 110441, 198, 1049, 19, 8107, 605, 9953, 17039, 103558, 253, 72099, 16325, 104087, 30590, 110441, 198, 679, 16, 8107, 18, 9953, 101778, 102433, 27384, 110441, 126462, 198, 679, 21, 8107, 19, 9953, 110653, 22656, 30590, 110441, 198, 679, 23, 8107, 21, 9953, 116622, 49409, 34048, 30590, 110441, 5486, 24, 9953, 49409, 119194, 124533, 107084, 101778, 34048, 30590, 110441, 198, 43511, 105352, 57903, 33541, 29295, 115847, 33503, 102052, 863, 51330, 119208, 15682, 30590, 110441, 119703, 55031, 105509, 863, 19732, 117952, 33121, 101732, 119208, 32977, 96412, 17129, 106824, 61689, 118855, 115847, 116749, 105352, 112318, 106786, 5486, 55038, 104346, 50667, 111848, 126462, 104698, 29295, 121410, 116358, 104466, 29295, 42891, 44416, 127145, 125939, 71289, 5486, 863, 115924, 103359, 20230, 105509, 863, 15682, 124897, 9174, 112672, 5486, 116907, 72661, 16937, 108867, 16144, 30926, 107328, 29295, 102404, 21990, 56051, 107803, 16144, 117271, 30512, 113727, 123207, 26854, 31431, 107515, 29295, 5486, 115963, 20230, 103057, 29245, 245, 61826, 105352, 117271, 30512, 32018, 109315, 109215, 115991, 33541, 9174, 11144, 15682, 100204, 62004, 20230, 112479, 679, 23, 8107, 20, 9953, 92048, 7, 15777, 2956, 19721, 48338, 8, 29295, 102923, 23039, 84389, 79721, 1811, 41949, 6616, 107118, 7244, 32, 10110, 104959, 55139, 106613, 111587, 108761, 103438, 32943, 2148, 71493, 29504, 28, 39907, 21601, 107808, 29504, 10, 104959, 55139, 18, 71493, 29504, 7705, 20230, 32938, 19000, 54926, 37087, 38144, 16144, 121568, 119526, 16144, 16906, 111, 35083, 26854, 123050, 30512, 113173, 117408, 112424, 38641, 1811, 110382, 16556, 95604, 121568, 119526, 102052, 3378, 39880, 45923, 108744, 50667, 118823, 17905, 16144, 108134, 30512, 96412, 64121, 5486, 119526, 16144, 102803, 52591, 109054, 29220, 33710, 10110, 17701, 46034, 9458, 110226, 43167, 21909, 33563, 36651, 21909, 107740, 21909, 104908, 21909, 25766, 225, 77062, 226, 7705, 113115, 54926, 16906, 111, 35083, 26854, 33710, 64178, 16144, 126543, 30512, 32018, 107436, 108086, 5486, 108010, 95543, 113115, 39926, 15682, 45736, 109518, 26854, 44416, 114940, 35330, 30512, 23187, 107436, 61689, 1811, 44416, 114940, 35330, 15682, 105525, 17905, 16144, 19, 4, 125845, 1049, 15, 32307, 108152, 118517, 10110, 679, 23, 8107, 806, 9953, 85707, 6079, 105, 16144, 44971, 84477, 16556, 103664, 1627, 117913, 35757, 7705, 19732, 102433, 16144, 121568, 108134, 123050, 25333, 71289, 68759, 25197, 96452, 127058, 25333, 19732, 125261, 120837, 44559, 223, 108010, 117714, 16906, 111, 21105, 243, 38641, 1811, 41949, 6616, 77181, 121568, 119526, 16144, 7244, 32, 103438, 48915, 111363, 69978, 20834, 15682, 5486, 69978, 20834, 61826, 29295, 41949, 6616, 16144, 105318, 30512, 112624, 28713, 56051, 25333, 106045, 44416, 113115, 106608, 109768, 100604, 19732, 124260, 104856, 76947, 61689, 113637, 41949, 6616, 15682, 43240, 119064, 106518, 101275, 5486, 114435, 20230, 117375, 107407, 19732, 78698, 107290, 61689, 29295, 5486, 66378, 20230, 122770, 30512, 15682, 100204, 62004, 117408, 114181, 101426, 97518, 89046, 16144, 91482, 76428, 102750, 22398, 30512, 77413, 87447, 103792, 114435, 15682, 103856, 23538, 16144, 117271, 29295, 109215, 19732, 78698, 107290, 61689, 124192, 61337, 15682, 37271, 103296, 964, 114435, 30512, 104356, 20230, 108134, 64810, 123283, 37823, 103906, 111363, 108167, 103214, 64121, 30512, 122521, 39926, 105898, 105879, 106116, 101335, 65299, 102040, 65299, 30512, 76706, 123772, 5486, 863, 108134, 64810, 123283, 37823, 103906, 111363, 108167, 103214, 64121, 863, 102677, 110366, 28190, 55031, 110480, 33671, 5486, 108134, 104908, 30512, 109768, 50834, 33541, 1811, 126738, 5486, 108134, 104908, 15682, 36668, 20230, 122770, 101275, 30512, 101067, 23187, 15024, 5486, 40265, 28190, 5486, 121410, 111299, 9953, 110195, 117816, 51107, 78434, 29295, 110745, 112495, 91875, 50834, 29295, 30591, 104984, 58426, 72368, 27479, 51107, 78434, 9174, 11144, 122770, 101275, 98220, 20230, 106266, 110441, 11571, 11571, 112479, 679, 23, 8107, 21, 9953, 52591, 93488, 117718, 122770, 120999, 116229, 863, 104774, 71634, 52884, 26269, 119557, 863, 16556, 16937, 37656, 39880, 122086, 22398, 112212, 123085, 117409, 103664, 3443, 32149, 32938, 16144, 122770, 55031, 843, 32307, 20, 103633, 14558, 16144, 29220, 44971, 76428, 67075, 108134, 30512, 96412, 104004, 121568, 108134, 29295, 89753, 20834, 54926, 102677, 58721, 29295, 102404, 21990, 121256, 1811, 101307, 104698, 20230, 105693, 122770, 15682, 112832, 72661, 53283, 103836, 19361, 13372, 122770, 29295, 96412, 123606, 100481, 79721, 113637, 58721, 29295, 41949, 6616, 108010, 95543, 16144, 107750, 16995, 57903, 19732, 116216, 61689, 1811, 103350, 104983, 5486, 101307, 104698, 20230, 105693, 107611, 122770, 15682, 41949, 6616, 108010, 95543, 30512, 103984, 102212, 109156, 33121, 5486, 104873, 112984, 9458, 117271, 54926, 106592, 21405, 31958, 127145, 1811, 220, 30813, 38144, 5486, 108936, 109904, 104736, 109375, 77181, 5486, 108010, 95543, 15682, 104774, 71634, 52884, 26269, 119557, 61337, 116787, 5486, 122770, 15682, 101307, 104698, 30046, 111769, 32149, 106046, 123671, 33541, 1811, 101307, 104698, 20230, 105693, 122770, 32977, 43240, 47884, 29295, 102131, 95604, 104736, 109375, 19732, 117952, 106824, 61689, 1811, 116422, 112371, 5486, 122770, 113468, 117271, 29295, 108901, 109020, 104865, 11571, 116422, 112371, 5486, 104873, 112984, 30512, 21405, 31958, 103792, 122770, 15682, 41949, 6616, 108010, 95543, 30512, 103984, 102212, 109156, 115032, 104865, 11571, 110382, 29295, 41949, 6616, 16144, 62903, 102494, 38641, 9174, 11144, 1569, 100, 123570, 1569, 108, 118962, 107118, 112479, 679, 23, 8107, 20, 9953, 20230, 102923, 23039, 103646, 41949, 6616, 107118, 5486, 7244, 32, 10110, 104959, 55139, 106613, 111587, 108761, 103438, 32943, 2148, 71493, 29504, 28, 39907, 21601, 107808, 29504, 10, 104959, 55139, 18, 71493, 29504, 7705, 20230, 32938, 19000, 54926, 37087, 38144, 16144, 121568, 119526, 16144, 16906, 111, 35083, 26854, 123050, 30512, 113173, 103306, 61689, 1811, 121568, 119526, 102052, 3378, 39880, 45923, 108744, 50667, 118823, 17905, 16144, 108134, 30512, 96412, 64121, 5486, 119526, 16144, 102803, 52591, 109054, 29220, 33710, 37087, 104322, 10110, 110226, 43167, 21909, 33563, 36651, 21909, 107740, 21909, 104908, 21909, 25766, 225, 77062, 226, 7705, 113115, 54926, 16906, 111, 35083, 26854, 33710, 64178, 16144, 126543, 5486, 108010, 95543, 113115, 54926, 45736, 109518, 26854, 44416, 114940, 35330, 30512, 23187, 107436, 61689, 1811, 44416, 114940, 35330, 15682, 105525, 17905, 16144, 19, 4, 125845, 1049, 15, 32307, 108152, 118517, 10110, 679, 23, 8107, 605, 9953, 16144, 44971, 84477, 16556, 103664, 1627, 117913, 35757, 7705, 19732, 102433, 16144, 121568, 108134, 123050, 25333, 71289, 68759, 25197, 96452, 127058, 25333, 19732, 125261, 120837, 44559, 223, 108010, 117714, 16906, 111, 21105, 243, 38641, 1811, 121568, 119526, 16144, 7244, 32, 103438, 48915, 111363, 69978, 20834, 15682, 5486, 69978, 20834, 61826, 29295, 41949, 6616, 16144, 105318, 30512, 112624, 28713, 56051, 25333, 106045, 44416, 113115, 106608, 109768, 100604, 19732, 124260, 104856, 76947, 61689, 9174, 11144, 58721, 16144, 120098, 112479, 122770, 110366, 29295, 108134, 118487, 44647, 102, 50667, 5486, 108134, 64810, 123283, 37823, 103906, 113115, 54926, 112997, 29220, 30512, 106596, 15024, 5486, 109215, 26854, 103359, 105226, 30512, 116907, 29295, 18655, 30369, 109335, 32977, 43514, 85791, 25827, 5486, 120999, 116229, 50667, 16144, 103057, 29245, 245, 61826, 5486, 60868, 57326, 102803, 104930, 11972, 5486, 104873, 104067, 61826, 50667, 20230, 64467, 20379, 15024, 5486, 123113, 107113, 32149, 1811, 122770, 110366, 15682, 58721, 102404, 112854, 55031, 5332, 82973, 23897, 32943, 20230, 104959, 55139, 16144, 123113, 101513, 97518, 20230, 114397, 56051, 32149, 29295, 99397, 123671, 5486, 117271, 29295, 109431, 102769, 16556, 100604, 19732, 122225, 84389, 104533, 44416, 114940, 35330, 30512, 70626, 84389, 33541, 1811, 106111, 25580, 105755, 5486, 104774, 71634, 52884, 26269, 119557, 61337, 15682, 122770, 110366, 20230, 41949, 6616, 111363, 117271, 30512, 32018, 62004, 101732, 102131, 119627, 5486, 117271, 56051, 104468, 48154, 47884, 15120, 34048, 1811, 43240, 119064, 122770, 29295, 13177, 41949, 6616, 15682, 126543, 48915, 19732, 113727, 100934, 66383, 95604, 105335, 107446, 110792, 100909, 1811, 95020, 250, 28713, 39926, 106116, 104736, 109375, 15682, 37656, 102800, 105879, 109954, 32149, 95532, 11144, 108134, 64810, 123283, 37823, 103906, 20230, 108167, 103214, 104004, 107118, 11571, 112479, 25580, 105904, 16556, 2118, 108134, 118487, 44647, 102, 50667, 5486, 108134, 64810, 123283, 37823, 103906, 113115, 54926, 112997, 29220, 30512, 106596, 15024, 5486, 109215, 26854, 103359, 105226, 30512, 116907, 29295, 18655, 30369, 100909, 5486, 103057, 29245, 245, 61826, 5486, 60868, 57326, 102803, 104930, 11972, 5486, 104873, 104067, 61826, 50667, 113115, 54926, 64467, 20379, 5486, 123113, 863, 29295, 120098, 19732, 102181, 50834, 79721, 29295, 112160, 78244, 16556, 16995, 116285, 863, 108134, 64810, 123283, 37823, 103906, 20230, 108167, 103214, 126559, 32149, 2118, 29295, 99397, 78183, 115032, 102083, 58942, 33541, 1811, 108936, 109904, 104736, 109375, 103306, 5486, 863, 108134, 64810, 123283, 37823, 103906, 20230, 108167, 103214, 104004, 104023, 112997, 29220, 106596, 9458, 107624, 95001, 9458, 117271, 2118, 19732, 104736, 109375, 110731, 117840, 29295, 5486, 112997, 29220, 103359, 105226, 15682, 119448, 47884, 17, 118821, 106592, 113727, 103470, 38144, 15682, 26854, 31431, 107515, 1811, 16, 59739, 15682, 5486, 64810, 123283, 37823, 103906, 30512, 101171, 227, 32149, 17663, 30926, 47523, 30512, 102404, 21990, 107726, 100604, 863, 103911, 103181, 105226, 2118, 5486, 108031, 16, 59739, 15682, 32307, 29295, 15120, 5486, 58721, 9458, 123429, 29295, 102404, 21990, 56051, 107803, 30512, 101067, 23187, 56051, 863, 117271, 105226, 2118, 38641, 9174, 11144, 108134, 64810, 123283, 37823, 103906, 107118, 11571, 112479, 108134, 64810, 123283, 37823, 103906, 15682, 93056, 107693, 26854, 103087, 106518, 30512, 101513, 28741, 34171, 5486, 108038, 34171, 5486, 31540, 11883, 34171, 30512, 66953, 119930, 114652, 33563, 59739, 100909, 863, 19732, 23187, 104577, 84389, 33541, 1811, 107693, 26854, 103087, 106518, 107118, 108134, 10110, 119526, 50667, 7705, 71289, 77693, 30512, 121247, 30297, 124122, 76171, 52591, 32131, 5486, 31634, 102351, 50667, 30591, 33503, 106644, 30369, 31634, 72238, 116787, 5486, 27452, 116285, 5486, 121568, 108134, 106116, 119526, 30512, 121247, 30297, 110698, 58318, 122282, 50667, 16144, 102741, 112508, 111234, 39880, 106116, 119526, 71289, 102741, 112508, 111234, 39880, 29295, 33563, 36651, 110731, 60868, 112164, 11972, 50667, 16144, 61304, 125534, 122483, 5486, 118823, 102756, 105048, 50667, 16144, 101513, 32648, 108048, 120577, 125175, 30512, 104908, 54926, 60868, 57326, 102803, 104930, 5486, 102741, 112508, 111234, 39880, 71289, 101513, 32648, 30512, 121247, 30297, 17792, 50667, 29295, 106691, 9554, 38641, 118855, 5486, 101513, 28741, 34171, 107118, 108134, 30512, 121298, 54926, 119318, 116310, 5486, 108038, 34171, 107118, 119526, 16144, 37656, 105184, 34171, 5486, 31540, 11883, 34171, 107118, 110008, 31540, 103646, 114754, 58426, 108134, 124905, 102334, 16995, 126101, 33655, 105262, 121894, 117083, 106592, 115552, 78434, 1811, 27452, 116285, 108048, 108422, 33121, 30512, 125173, 101832, 28713, 102321, 47523, 15682, 2118, 108134, 118487, 44647, 102, 123429, 863, 2118, 108134, 16144, 23226, 25781, 226, 863, 2118, 123141, 108502, 104698, 863, 50667, 115991, 33541, 9174, 11144, 108134, 64810, 123283, 37823, 103906, 20230, 108167, 103214, 104004, 111942, 24273, 13393, 251, 40452, 21909, 112479, 108134, 64810, 123283, 37823, 103906, 102052, 5486, 66378, 23187, 16144, 126913, 30046, 103378, 29295, 108167, 103214, 104004, 16144, 126194, 5486, 37087, 61337, 16556, 108167, 103214, 104004, 105908, 107693, 38641, 1811, 37087, 61337, 16556, 108167, 103214, 104004, 106116, 103983, 105564, 29295, 24273, 13393, 251, 40452, 121711, 33541, 1811, 108134, 64810, 123283, 37823, 103906, 123863, 24273, 13393, 251, 30512, 106613, 112167, 123717, 10110, 18655, 126233, 107734, 5486, 116043, 23039, 107734, 102351, 5486, 116388, 34048, 61337, 102351, 50667, 7705, 29295, 108975, 104760, 5486, 111800, 118219, 78434, 109900, 30512, 37087, 38144, 16144, 61337, 102351, 5486, 103057, 29245, 245, 101275, 30046, 5486, 18655, 73686, 61826, 50667, 16144, 60632, 104698, 116690, 30046, 20230, 41642, 53283, 5486, 125845, 35417, 21405, 78434, 1811, 122270, 24273, 13393, 251, 16144, 20119, 254, 103214, 64121, 107809, 16556, 30832, 105888, 30512, 116700, 15024, 106116, 30832, 105888, 30512, 34048, 103722, 121410, 5486, 106090, 114050, 121410, 16556, 116700, 5486, 124042, 9554, 102052, 102159, 107707, 30832, 105888, 5486, 107734, 111017, 50667, 102416, 77413, 87447, 78434, 1811, 30832, 105888, 102677, 71689, 5486, 116602, 47523, 109904, 21405, 102321, 15682, 99959, 39850, 38641, 54747, 108064, 103296, 20230, 863, 2118, 26854, 20230, 30512, 863, 2118, 67645, 33121, 103378, 863, 104067, 13153, 54926, 104865, 5486, 88367, 127303, 104984, 9039, 112603, 16556, 116700, 112990, 57980, 117201 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 81742, 30512, 50338, 104662, 54926, 103846, 120332, 105226, 103306, 36827, 105600, 120824, 116137, 30512, 29172, 81742, 56051, 100909, 116446, 64121, 28713, 9174, 16995, 17129, 103296, 16144, 102404, 78244, 19732, 100543, 249, 16555, 122, 115991, 103188, 105557, 38144, 115464, 16556, 122975, 103082, 107515, 1811, 102433, 16144, 95543, 102404, 20230, 102802, 121710, 31431, 39926, 33671, 104680, 19732, 103001, 246, 30512, 30358, 101832, 100934, 105879, 109954, 1811, 103001, 246, 59739, 50834, 16144, 105586, 25287, 109904, 123120, 80805, 102514, 16073, 38641, 1811, 128001, 128000, 11144, 108134, 64810, 123283, 37823, 103906, 20230, 108167, 103214, 104004, 111942, 103057, 29245, 245, 61826, 5486, 29172, 120988, 61826, 113115, 54926, 103359, 105226, 58426, 21, 21909, 112479, 118899, 5486, 914, 8107, 56965, 105352, 27384, 112495, 30590, 110441, 29295, 102404, 21990, 127145, 9174, 2550, 19, 8107, 605, 9953, 49409, 119194, 101778, 24273, 123746, 30590, 110441, 5486, 717, 9953, 46091, 111059, 15682, 30369, 32149, 123746, 30590, 110441, 198, 2550, 20, 8107, 16, 9953, 108469, 101365, 9458, 115891, 47095, 27384, 110441, 126462, 198, 2550, 22, 8107, 20, 9953, 115933, 116581, 102687, 49409, 61786, 34048, 30590, 110441, 198, 1049, 15, 8107, 605, 9953, 116750, 18655, 72099, 61786, 34048, 30590, 110441, 198, 1049, 16, 8107, 18, 9953, 117813, 103911, 30590, 110441, 198, 1049, 18, 8107, 24, 9953, 95598, 104284, 123746, 30590, 110441, 198, 1049, 19, 8107, 605, 9953, 17039, 103558, 253, 72099, 16325, 104087, 30590, 110441, 198, 679, 16, 8107, 18, 9953, 101778, 102433, 27384, 110441, 126462, 198, 679, 21, 8107, 19, 9953, 110653, 22656, 30590, 110441, 198, 679, 23, 8107, 21, 9953, 116622, 49409, 34048, 30590, 110441, 5486, 24, 9953, 49409, 119194, 124533, 107084, 101778, 34048, 30590, 110441, 198, 43511, 105352, 57903, 33541, 29295, 115847, 33503, 102052, 863, 51330, 119208, 15682, 30590, 110441, 119703, 55031, 105509, 863, 19732, 117952, 33121, 101732, 119208, 32977, 96412, 17129, 106824, 61689, 118855, 115847, 116749, 105352, 112318, 106786, 5486, 55038, 104346, 50667, 111848, 126462, 104698, 29295, 121410, 116358, 104466, 29295, 42891, 44416, 127145, 125939, 71289, 5486, 863, 115924, 103359, 20230, 105509, 863, 15682, 124897, 9174, 112672, 5486, 116907, 72661, 16937, 108867, 16144, 30926, 107328, 29295, 102404, 21990, 56051, 107803, 16144, 117271, 30512, 113727, 123207, 26854, 31431, 107515, 29295, 5486, 115963, 20230, 103057, 29245, 245, 61826, 105352, 117271, 30512, 32018, 109315, 109215, 115991, 33541, 9174, 11144, 15682, 100204, 62004, 20230, 112479, 679, 23, 8107, 20, 9953, 92048, 7, 15777, 2956, 19721, 48338, 8, 29295, 102923, 23039, 84389, 79721, 1811, 41949, 6616, 107118, 7244, 32, 10110, 104959, 55139, 106613, 111587, 108761, 103438, 32943, 2148, 71493, 29504, 28, 39907, 21601, 107808, 29504, 10, 104959, 55139, 18, 71493, 29504, 7705, 20230, 32938, 19000, 54926, 37087, 38144, 16144, 121568, 119526, 16144, 16906, 111, 35083, 26854, 123050, 30512, 113173, 117408, 112424, 38641, 1811, 110382, 16556, 95604, 121568, 119526, 102052, 3378, 39880, 45923, 108744, 50667, 118823, 17905, 16144, 108134, 30512, 96412, 64121, 5486, 119526, 16144, 102803, 52591, 109054, 29220, 33710, 10110, 17701, 46034, 9458, 110226, 43167, 21909, 33563, 36651, 21909, 107740, 21909, 104908, 21909, 25766, 225, 77062, 226, 7705, 113115, 54926, 16906, 111, 35083, 26854, 33710, 64178, 16144, 126543, 30512, 32018, 107436, 108086, 5486, 108010, 95543, 113115, 39926, 15682, 45736, 109518, 26854, 44416, 114940, 35330, 30512, 23187, 107436, 61689, 1811, 44416, 114940, 35330, 15682, 105525, 17905, 16144, 19, 4, 125845, 1049, 15, 32307, 108152, 118517, 10110, 679, 23, 8107, 806, 9953, 85707, 6079, 105, 16144, 44971, 84477, 16556, 103664, 1627, 117913, 35757, 7705, 19732, 102433, 16144, 121568, 108134, 123050, 25333, 71289, 68759, 25197, 96452, 127058, 25333, 19732, 125261, 120837, 44559, 223, 108010, 117714, 16906, 111, 21105, 243, 38641, 1811, 41949, 6616, 77181, 121568, 119526, 16144, 7244, 32, 103438, 48915, 111363, 69978, 20834, 15682, 5486, 69978, 20834, 61826, 29295, 41949, 6616, 16144, 105318, 30512, 112624, 28713, 56051, 25333, 106045, 44416, 113115, 106608, 109768, 100604, 19732, 124260, 104856, 76947, 61689, 113637, 41949, 6616, 15682, 43240, 119064, 106518, 101275, 5486, 114435, 20230, 117375, 107407, 19732, 78698, 107290, 61689, 29295, 5486, 66378, 20230, 122770, 30512, 15682, 100204, 62004, 117408, 114181, 101426, 97518, 89046, 16144, 91482, 76428, 102750, 22398, 30512, 77413, 87447, 103792, 114435, 15682, 103856, 23538, 16144, 117271, 29295, 109215, 19732, 78698, 107290, 61689, 124192, 61337, 15682, 37271, 103296, 964, 114435, 30512, 104356, 20230, 108134, 64810, 123283, 37823, 103906, 111363, 108167, 103214, 64121, 30512, 122521, 39926, 105898, 105879, 106116, 101335, 65299, 102040, 65299, 30512, 76706, 123772, 5486, 863, 108134, 64810, 123283, 37823, 103906, 111363, 108167, 103214, 64121, 863, 102677, 110366, 28190, 55031, 110480, 33671, 5486, 108134, 104908, 30512, 109768, 50834, 33541, 1811, 126738, 5486, 108134, 104908, 15682, 36668, 20230, 122770, 101275, 30512, 101067, 23187, 15024, 5486, 40265, 28190, 5486, 121410, 111299, 9953, 110195, 117816, 51107, 78434, 29295, 110745, 112495, 91875, 50834, 29295, 30591, 104984, 58426, 72368, 27479, 51107, 78434, 9174, 11144, 122770, 101275, 98220, 20230, 106266, 110441, 11571, 11571, 112479, 679, 23, 8107, 21, 9953, 52591, 93488, 117718, 122770, 120999, 116229, 863, 104774, 71634, 52884, 26269, 119557, 863, 16556, 16937, 37656, 39880, 122086, 22398, 112212, 123085, 117409, 103664, 3443, 32149, 32938, 16144, 122770, 55031, 843, 32307, 20, 103633, 14558, 16144, 29220, 44971, 76428, 67075, 108134, 30512, 96412, 104004, 121568, 108134, 29295, 89753, 20834, 54926, 102677, 58721, 29295, 102404, 21990, 121256, 1811, 101307, 104698, 20230, 105693, 122770, 15682, 112832, 72661, 53283, 103836, 19361, 13372, 122770, 29295, 96412, 123606, 100481, 79721, 113637, 58721, 29295, 41949, 6616, 108010, 95543, 16144, 107750, 16995, 57903, 19732, 116216, 61689, 1811, 103350, 104983, 5486, 101307, 104698, 20230, 105693, 107611, 122770, 15682, 41949, 6616, 108010, 95543, 30512, 103984, 102212, 109156, 33121, 5486, 104873, 112984, 9458, 117271, 54926, 106592, 21405, 31958, 127145, 1811, 220, 30813, 38144, 5486, 108936, 109904, 104736, 109375, 77181, 5486, 108010, 95543, 15682, 104774, 71634, 52884, 26269, 119557, 61337, 116787, 5486, 122770, 15682, 101307, 104698, 30046, 111769, 32149, 106046, 123671, 33541, 1811, 101307, 104698, 20230, 105693, 122770, 32977, 43240, 47884, 29295, 102131, 95604, 104736, 109375, 19732, 117952, 106824, 61689, 1811, 116422, 112371, 5486, 122770, 113468, 117271, 29295, 108901, 109020, 104865, 11571, 116422, 112371, 5486, 104873, 112984, 30512, 21405, 31958, 103792, 122770, 15682, 41949, 6616, 108010, 95543, 30512, 103984, 102212, 109156, 115032, 104865, 11571, 110382, 29295, 41949, 6616, 16144, 62903, 102494, 38641, 9174, 11144, 1569, 100, 123570, 1569, 108, 118962, 107118, 112479, 679, 23, 8107, 20, 9953, 20230, 102923, 23039, 103646, 41949, 6616, 107118, 5486, 7244, 32, 10110, 104959, 55139, 106613, 111587, 108761, 103438, 32943, 2148, 71493, 29504, 28, 39907, 21601, 107808, 29504, 10, 104959, 55139, 18, 71493, 29504, 7705, 20230, 32938, 19000, 54926, 37087, 38144, 16144, 121568, 119526, 16144, 16906, 111, 35083, 26854, 123050, 30512, 113173, 103306, 61689, 1811, 121568, 119526, 102052, 3378, 39880, 45923, 108744, 50667, 118823, 17905, 16144, 108134, 30512, 96412, 64121, 5486, 119526, 16144, 102803, 52591, 109054, 29220, 33710, 37087, 104322, 10110, 110226, 43167, 21909, 33563, 36651, 21909, 107740, 21909, 104908, 21909, 25766, 225, 77062, 226, 7705, 113115, 54926, 16906, 111, 35083, 26854, 33710, 64178, 16144, 126543, 5486, 108010, 95543, 113115, 54926, 45736, 109518, 26854, 44416, 114940, 35330, 30512, 23187, 107436, 61689, 1811, 44416, 114940, 35330, 15682, 105525, 17905, 16144, 19, 4, 125845, 1049, 15, 32307, 108152, 118517, 10110, 679, 23, 8107, 605, 9953, 16144, 44971, 84477, 16556, 103664, 1627, 117913, 35757, 7705, 19732, 102433, 16144, 121568, 108134, 123050, 25333, 71289, 68759, 25197, 96452, 127058, 25333, 19732, 125261, 120837, 44559, 223, 108010, 117714, 16906, 111, 21105, 243, 38641, 1811, 121568, 119526, 16144, 7244, 32, 103438, 48915, 111363, 69978, 20834, 15682, 5486, 69978, 20834, 61826, 29295, 41949, 6616, 16144, 105318, 30512, 112624, 28713, 56051, 25333, 106045, 44416, 113115, 106608, 109768, 100604, 19732, 124260, 104856, 76947, 61689, 9174, 11144, 58721, 16144, 120098, 112479, 122770, 110366, 29295, 108134, 118487, 44647, 102, 50667, 5486, 108134, 64810, 123283, 37823, 103906, 113115, 54926, 112997, 29220, 30512, 106596, 15024, 5486, 109215, 26854, 103359, 105226, 30512, 116907, 29295, 18655, 30369, 109335, 32977, 43514, 85791, 25827, 5486, 120999, 116229, 50667, 16144, 103057, 29245, 245, 61826, 5486, 60868, 57326, 102803, 104930, 11972, 5486, 104873, 104067, 61826, 50667, 20230, 64467, 20379, 15024, 5486, 123113, 107113, 32149, 1811, 122770, 110366, 15682, 58721, 102404, 112854, 55031, 5332, 82973, 23897, 32943, 20230, 104959, 55139, 16144, 123113, 101513, 97518, 20230, 114397, 56051, 32149, 29295, 99397, 123671, 5486, 117271, 29295, 109431, 102769, 16556, 100604, 19732, 122225, 84389, 104533, 44416, 114940, 35330, 30512, 70626, 84389, 33541, 1811, 106111, 25580, 105755, 5486, 104774, 71634, 52884, 26269, 119557, 61337, 15682, 122770, 110366, 20230, 41949, 6616, 111363, 117271, 30512, 32018, 62004, 101732, 102131, 119627, 5486, 117271, 56051, 104468, 48154, 47884, 15120, 34048, 1811, 43240, 119064, 122770, 29295, 13177, 41949, 6616, 15682, 126543, 48915, 19732, 113727, 100934, 66383, 95604, 105335, 107446, 110792, 100909, 1811, 95020, 250, 28713, 39926, 106116, 104736, 109375, 15682, 37656, 102800, 105879, 109954, 32149, 95532, 11144, 108134, 64810, 123283, 37823, 103906, 20230, 108167, 103214, 104004, 107118, 11571, 112479, 25580, 105904, 16556, 2118, 108134, 118487, 44647, 102, 50667, 5486, 108134, 64810, 123283, 37823, 103906, 113115, 54926, 112997, 29220, 30512, 106596, 15024, 5486, 109215, 26854, 103359, 105226, 30512, 116907, 29295, 18655, 30369, 100909, 5486, 103057, 29245, 245, 61826, 5486, 60868, 57326, 102803, 104930, 11972, 5486, 104873, 104067, 61826, 50667, 113115, 54926, 64467, 20379, 5486, 123113, 863, 29295, 120098, 19732, 102181, 50834, 79721, 29295, 112160, 78244, 16556, 16995, 116285, 863, 108134, 64810, 123283, 37823, 103906, 20230, 108167, 103214, 126559, 32149, 2118, 29295, 99397, 78183, 115032, 102083, 58942, 33541, 1811, 108936, 109904, 104736, 109375, 103306, 5486, 863, 108134, 64810, 123283, 37823, 103906, 20230, 108167, 103214, 104004, 104023, 112997, 29220, 106596, 9458, 107624, 95001, 9458, 117271, 2118, 19732, 104736, 109375, 110731, 117840, 29295, 5486, 112997, 29220, 103359, 105226, 15682, 119448, 47884, 17, 118821, 106592, 113727, 103470, 38144, 15682, 26854, 31431, 107515, 1811, 16, 59739, 15682, 5486, 64810, 123283, 37823, 103906, 30512, 101171, 227, 32149, 17663, 30926, 47523, 30512, 102404, 21990, 107726, 100604, 863, 103911, 103181, 105226, 2118, 5486, 108031, 16, 59739, 15682, 32307, 29295, 15120, 5486, 58721, 9458, 123429, 29295, 102404, 21990, 56051, 107803, 30512, 101067, 23187, 56051, 863, 117271, 105226, 2118, 38641, 9174, 11144, 108134, 64810, 123283, 37823, 103906, 107118, 11571, 112479, 108134, 64810, 123283, 37823, 103906, 15682, 93056, 107693, 26854, 103087, 106518, 30512, 101513, 28741, 34171, 5486, 108038, 34171, 5486, 31540, 11883, 34171, 30512, 66953, 119930, 114652, 33563, 59739, 100909, 863, 19732, 23187, 104577, 84389, 33541, 1811, 107693, 26854, 103087, 106518, 107118, 108134, 10110, 119526, 50667, 7705, 71289, 77693, 30512, 121247, 30297, 124122, 76171, 52591, 32131, 5486, 31634, 102351, 50667, 30591, 33503, 106644, 30369, 31634, 72238, 116787, 5486, 27452, 116285, 5486, 121568, 108134, 106116, 119526, 30512, 121247, 30297, 110698, 58318, 122282, 50667, 16144, 102741, 112508, 111234, 39880, 106116, 119526, 71289, 102741, 112508, 111234, 39880, 29295, 33563, 36651, 110731, 60868, 112164, 11972, 50667, 16144, 61304, 125534, 122483, 5486, 118823, 102756, 105048, 50667, 16144, 101513, 32648, 108048, 120577, 125175, 30512, 104908, 54926, 60868, 57326, 102803, 104930, 5486, 102741, 112508, 111234, 39880, 71289, 101513, 32648, 30512, 121247, 30297, 17792, 50667, 29295, 106691, 9554, 38641, 118855, 5486, 101513, 28741, 34171, 107118, 108134, 30512, 121298, 54926, 119318, 116310, 5486, 108038, 34171, 107118, 119526, 16144, 37656, 105184, 34171, 5486, 31540, 11883, 34171, 107118, 110008, 31540, 103646, 114754, 58426, 108134, 124905, 102334, 16995, 126101, 33655, 105262, 121894, 117083, 106592, 115552, 78434, 1811, 27452, 116285, 108048, 108422, 33121, 30512, 125173, 101832, 28713, 102321, 47523, 15682, 2118, 108134, 118487, 44647, 102, 123429, 863, 2118, 108134, 16144, 23226, 25781, 226, 863, 2118, 123141, 108502, 104698, 863, 50667, 115991, 33541, 9174, 11144, 108134, 64810, 123283, 37823, 103906, 20230, 108167, 103214, 104004, 111942, 24273, 13393, 251, 40452, 21909, 112479, 108134, 64810, 123283, 37823, 103906, 102052, 5486, 66378, 23187, 16144, 126913, 30046, 103378, 29295, 108167, 103214, 104004, 16144, 126194, 5486, 37087, 61337, 16556, 108167, 103214, 104004, 105908, 107693, 38641, 1811, 37087, 61337, 16556, 108167, 103214, 104004, 106116, 103983, 105564, 29295, 24273, 13393, 251, 40452, 121711, 33541, 1811, 108134, 64810, 123283, 37823, 103906, 123863, 24273, 13393, 251, 30512, 106613, 112167, 123717, 10110, 18655, 126233, 107734, 5486, 116043, 23039, 107734, 102351, 5486, 116388, 34048, 61337, 102351, 50667, 7705, 29295, 108975, 104760, 5486, 111800, 118219, 78434, 109900, 30512, 37087, 38144, 16144, 61337, 102351, 5486, 103057, 29245, 245, 101275, 30046, 5486, 18655, 73686, 61826, 50667, 16144, 60632, 104698, 116690, 30046, 20230, 41642, 53283, 5486, 125845, 35417, 21405, 78434, 1811, 122270, 24273, 13393, 251, 16144, 20119, 254, 103214, 64121, 107809, 16556, 30832, 105888, 30512, 116700, 15024, 106116, 30832, 105888, 30512, 34048, 103722, 121410, 5486, 106090, 114050, 121410, 16556, 116700, 5486, 124042, 9554, 102052, 102159, 107707, 30832, 105888, 5486, 107734, 111017, 50667, 102416, 77413, 87447, 78434, 1811, 30832, 105888, 102677, 71689, 5486, 116602, 47523, 109904, 21405, 102321, 15682, 99959, 39850, 38641, 54747, 108064, 103296, 20230, 863, 2118, 26854, 20230, 30512, 863, 2118, 67645, 33121, 103378, 863, 104067, 13153, 54926, 104865, 5486, 88367, 127303, 104984, 9039, 112603, 16556, 116700, 112990, 57980, 117201 ]
[ 109954, 1811, 121568, 111363, 77413, 87447, 32977, 17905, 65743, 19732, 22656, 107707, 28190, 30177, 16556, 22656, 107707, 110526, 71289, 37689, 70141, 5486, 17905, 65743, 16144, 125494, 50667, 30512, 55999, 19361, 15024, 5486, 110176, 30046, 40862, 37689, 120938, 16556, 30832, 105888, 30512, 116700, 39926, 72315, 1811, 220, 27452, 116285, 5486, 13870, 232, 61337, 15682, 2118, 47260, 108969, 102803, 39880, 107446, 108729, 24273, 13393, 251, 863, 30512, 116700, 127145, 9174, 11144, 108134, 64810, 123283, 37823, 103906, 20230, 108167, 103214, 104004, 111942, 107461, 20251, 111363, 103359, 105226, 21909, 112479, 37271, 103296, 20230, 72718, 105898, 121568, 108134, 118487, 44647, 102, 58721, 30512, 114284, 20834, 39926, 72315, 1811, 118899, 16556, 127105, 5486, 48915, 34048, 117758, 16937, 37656, 39880, 122086, 22398, 20230, 107991, 118487, 44647, 102, 29295, 43240, 115737, 31431, 79721, 29295, 5486, 102717, 25827, 112028, 11881, 242, 25580, 15682, 108134, 118487, 44647, 102, 102083, 116285, 5486, 863, 24186, 61337, 102351, 863, 863, 24186, 105647, 124955, 61337, 102351, 863, 863, 24186, 48915, 26130, 61826, 61337, 102351, 863, 29295, 109373, 17792, 102677, 112973, 23187, 87217, 11571, 16556, 56051, 107644, 107430, 126867, 101682, 107674, 106548, 76537, 43514, 113115, 54926, 106548, 104196, 15024, 5486, 114774, 29295, 117063, 55031, 27704, 17129, 76947, 5486, 9039, 8107, 112772, 35330, 103842, 255, 113173, 5486, 59739, 109709, 108134, 30512, 113487, 50834, 18655, 76947, 105525, 76947, 114732, 114016, 95604, 58721, 32977, 57903, 79721, 1811, 67645, 103171, 20230, 80195, 105647, 26854, 106548, 103214, 64121, 71289, 33710, 64178, 126694, 114598, 124042, 9554, 102052, 107461, 20251, 33671, 30537, 9174, 110229, 16556, 5486, 107461, 20251, 114556, 39926, 15682, 119448, 47884, 17, 59739, 20230, 106592, 113727, 123207, 26854, 31431, 107515, 1811, 16, 59739, 62004, 15682, 37689, 111629, 21105, 103, 16995, 89154, 71493, 5486, 78459, 78205, 100560, 250, 5486, 30297, 42891, 107277, 102083, 100472, 101198, 22398, 103181, 82533, 38641, 1811, 17, 59739, 30832, 15682, 109161, 37689, 114792, 28713, 110615, 124122, 103359, 105226, 38641, 9174, 16995, 101860, 33121, 105352, 55999, 33035, 103792, 104468, 123334, 15682, 31431, 20251, 44971, 118928, 94550, 1811, 36668, 20230, 64810, 123283, 37823, 103906, 123863, 37689, 109375, 9458, 104736, 109375, 30512, 109205, 69978, 15024, 122603, 109315, 102944, 1811, 27452, 116285, 5486, 118899, 16144, 64810, 123283, 37823, 103906, 115517, 5486, 43511, 61337, 16144, 58721, 9458, 30926, 117625, 27452, 5486, 33710, 64178, 108010, 95543, 30512, 109373, 56051, 107803, 20230, 101067, 23187, 107001, 106084, 30926, 50667, 124845, 5486, 22398, 62903, 33710, 122060, 1811, 121568, 108134, 50667, 107693, 26854, 119526, 71289, 108134, 30512, 108167, 121247, 30297, 107803, 5486, 46034, 110480, 71289, 33710, 64178, 16144, 41642, 53283, 5486, 102741, 112508, 111234, 39880, 71289, 101513, 32648, 16144, 33655, 16995, 24273, 30512, 50834, 43514, 127842, 96356, 20230, 47000, 105784, 109215, 115991, 33541, 1811, 102131, 16995, 116285, 5486, 9039, 8107, 25580, 5486, 108156, 16144, 110904, 95001, 19732, 102404, 26130, 82900, 30512, 56965, 108010, 58942, 110745, 112495, 125173, 104698, 30512, 118158, 30926, 27452, 115991, 79721, 9174, 109606, 15682, 5486, 863, 109161, 37689, 114792, 28713, 110615, 124122, 103359, 105226, 863, 38641, 1811, 61337, 102351, 16144, 120267, 26854, 31431, 101983, 33121, 102677, 59739, 123731, 15682, 105811, 103892, 124897, 1811, 107118, 16995, 58942, 5486, 61337, 102351, 16144, 122502, 50834, 126172, 30813, 5486, 122502, 50834, 104486, 7741, 238, 19732, 115791, 106592, 78698, 107800, 102923, 105226, 15682, 109215, 123253, 1811, 106515, 16995, 5486, 122502, 50834, 24273, 119254, 109020, 102944, 29295, 105335, 84477, 78434, 105879, 117119, 33503, 116421, 102923, 105226, 30512, 76537, 59739, 110115, 126521, 101513, 38093, 123253, 9174, 11144, 108134, 64810, 123283, 37823, 103906, 20230, 108167, 103214, 104004, 111942, 90962, 106384, 22398, 113115, 54926, 103359, 105226, 21909, 112479, 64810, 123283, 37823, 103906, 103359, 105226, 15682, 5486, 43240, 30358, 117657, 105908, 27384, 102769, 38641, 1811, 27452, 116285, 5486, 90962, 106384, 22398, 91482, 33710, 109156, 104157, 103792, 107803, 5486, 55999, 19361, 34048, 20230, 104970, 104874, 123141, 29295, 106839, 17701, 84389, 5486, 114363, 19361, 34048, 109156, 30369, 103846, 102052, 103283, 16144, 112258, 113, 71289, 123218, 29295, 109215, 127303, 104984, 115847, 121142, 41920, 30358, 121711, 33541, 1811, 122270, 5486, 102923, 91779, 254, 88367, 26854, 102181, 107086, 117083, 102944, 15682, 58426, 71493, 104603, 16556, 46091, 30358, 121711, 33541, 1811, 43240, 30358, 33208, 5486, 17663, 26854, 78183, 43514, 15120, 30358, 105755, 41920, 30358, 127862, 30358, 105755, 46091, 30358, 124226, 30358, 105755, 64803, 30358, 1131, 1811, 43240, 30358, 33208, 126693, 54926, 108680, 39880, 122086, 22398, 54926, 124122, 110426, 15682, 45736, 115737, 31431, 5486, 64810, 123283, 37823, 103906, 103359, 105226, 15682, 105755, 104195, 107608, 26854, 102944, 121711, 33541, 115397, 24273, 5486, 43240, 30358, 33208, 126693, 54926, 108680, 39850, 102860, 11972, 115717, 33541, 1811, 123218, 71289, 112258, 113, 15682, 58426, 17620, 109215, 117282, 105879, 1131, 1811, 51330, 14558, 20230, 48249, 121140, 5486, 108134, 64810, 123283, 37823, 103906, 103359, 105226, 30512, 104195, 33208, 126693, 54926, 108680, 5486, 60632, 102924, 34171, 30512, 125173, 26854, 30297, 125396, 29295, 45736, 115737, 31431, 33541, 1811, 108134, 64810, 123283, 37823, 103906, 103359, 105226, 15682, 5486, 104195, 107608, 30813, 19732, 60632, 102924, 34171, 16144, 66953, 119930, 30512, 113727, 5486, 112997, 29220, 20230, 106608, 100204, 38144, 103350, 102923, 54926, 105908, 107693, 38641, 9174, 16995, 17129, 67645, 50834, 5486, 90962, 106384, 22398, 20230, 119147, 117399, 29295, 17701, 30369, 114016, 104655, 47884, 109335, 83747, 100604, 119627, 5486, 43240, 119064, 108695, 77181, 90962, 106384, 22398, 20230, 107693, 26854, 108134, 71289, 119526, 30512, 22324, 16995, 101732, 31431, 108048, 33503, 20230, 39880, 122086, 22398, 54926, 117501, 115991, 33541, 1811, 27452, 116285, 5486, 60868, 112164, 115247, 102332, 22324, 5486, 80805, 102741, 109713, 16144, 102332, 22324, 5486, 112258, 113, 71289, 17701, 56906, 16556, 38129, 54926, 123218, 5486, 64810, 123283, 37823, 103906, 17905, 16144, 95001, 112603, 15682, 107173, 32149, 47884, 5486, 102321, 35330, 5486, 103350, 104371, 50667, 1811, 90962, 106384, 22398, 113115, 54926, 103359, 105226, 15682, 58426, 103983, 105564, 38641, 118855, 5486, 123218, 27869, 249, 21388, 123429, 15682, 39442, 36785, 43240, 119064, 108695, 16556, 102404, 21990, 127145, 1811, 112258, 113, 71289, 123218, 15682, 90962, 106384, 22398, 20230, 39880, 122086, 22398, 54926, 124122, 119869, 16144, 71493, 102832, 38641, 1811, 112258, 113, 71289, 123218, 30512, 110968, 127564, 5486, 56965, 121953, 103470, 33563, 19361, 103792, 32149, 5486, 21388, 47884, 109768, 100604, 32149, 30512, 23187, 23538, 112535, 116696, 48552, 54926, 106592, 53508, 100, 62004, 33541, 1811, 126738, 5486, 112258, 113, 71289, 123218, 30512, 37087, 102351, 20230, 110968, 17663, 109215, 119703, 107803, 5486, 95221, 30512, 47000, 105784, 109335, 863, 109215, 26854, 17792, 20230, 103378, 110968, 17663, 863, 38641, 1811, 32307, 29295, 15120, 30512, 113727, 5486, 33655, 30297, 109335, 102717, 19732, 124592, 100604, 105352, 97518, 78183, 121140, 5486, 111654, 21105, 234, 30369, 114754, 61689, 29295, 5486, 110968, 39926, 112987, 76622, 107515, 1811, 109215, 119703, 17792, 20230, 110968, 30813, 100604, 123017, 107693, 26854, 64810, 123283, 37823, 103906, 103359, 105226, 38641, 9174, 11144, 108134, 64810, 123283, 37823, 103906, 20230, 108167, 103214, 104004, 111942, 964, 113115, 54926, 103359, 105226, 21909, 112479, 964, 16144, 30832, 112854, 17129, 102800, 103130, 77413, 112987, 17129, 115143, 122984, 16144, 109215, 120937, 123253, 124845, 5486, 964, 16144, 103130, 77413, 20230, 105564, 104873, 30512, 114146, 30369, 116421, 30624, 47884, 5486, 108134, 64810, 123283, 37823, 103906, 32977, 42016, 50667, 71689, 16144, 22398, 70563, 65575, 16556, 103130, 77413, 11571, 39926, 50834, 79721, 1811, 105321, 72342, 5486, 102717, 25827, 16144, 508, 8107, 25580, 102052, 64810, 123283, 37823, 103906, 19732, 117952, 106824, 101067, 66201, 54926, 104468, 863, 104970, 104874, 863, 16556, 56051, 55031, 1811, 112599, 5486, 108134, 64810, 123283, 37823, 103906, 17905, 16144, 32335, 32977, 119448, 16995, 112997, 29220, 15682, 964, 97518, 89046, 38641, 66327, 108134, 64810, 123283, 37823, 103906, 103359, 105226, 16556, 8239, 114503, 109904, 41007, 15682, 124897, 32149, 91006, 19732, 105284, 99397, 107001, 105908, 57903, 33541, 9174, 112073, 117940, 5486, 112366, 16144, 108134, 64810, 123283, 37823, 103906, 103359, 105226, 15682, 99849, 36785, 106046, 61689, 32149, 95532, 122582, 118823, 102756, 105048, 124905, 78183, 100604, 100909, 5486, 80539, 107693, 26854, 108134, 71289, 119526, 114792, 28713, 100604, 100909, 16144, 17, 59739, 38641, 1811, 27929, 32977, 27929, 32977, 80805, 102741, 109713, 30512, 114435, 121142, 103470, 5486, 121568, 16556, 33655, 30297, 105908, 108936, 33208, 56051, 104468, 72342, 16995, 112371, 16995, 966, 8107, 25580, 1811, 124773, 123437, 67075, 15682, 58426, 9039, 8107, 74482, 109900, 105755, 25580, 15682, 5486, 863, 110191, 118372, 863, 102083, 114598, 119526, 37705, 22023, 29295, 104712, 19732, 22957, 9174, 30813, 38144, 5486, 964, 16556, 113727, 123207, 105110, 100604, 103359, 105226, 15682, 88852, 121711, 33541, 9174, 9458, 118823, 102756, 105048, 71289, 60868, 112164, 11972, 50667, 16144, 76171, 52591, 32131, 97518, 89046, 198, 9458, 29220, 102803, 39880, 52414, 101513, 32648, 10110, 68408, 22398, 110548, 103830, 71289, 101335, 84477, 80805, 102741, 109713, 5486, 120988, 115351, 79982, 106968, 5486, 54459, 5486, 124131, 103927, 50667, 23954, 9458, 107740, 103792, 102741, 112508, 111234, 39880, 198, 9458, 107740, 54926, 31634, 102351, 16144, 22398, 62903, 33710, 5486, 104736, 109375, 198, 11144, 120065, 108385, 31431, 45893, 112479, 37271, 18904, 15682, 5486, 108064, 102944, 87177, 55031, 120065, 108385, 31431, 45893, 9174, 118899, 117119, 32149, 19732, 87177, 104482, 108176, 16519, 3711, 1811, 48154, 25359, 53283, 5486, 14783, 5486, 27665, 5486, 21124, 5486, 26948, 102083, 100472, 109098, 27384, 964, 114435, 16144, 103892, 88435, 38641, 113637, 19, 61337, 19732, 117864, 47884, 18655, 73686, 119703, 121606, 5486, 114435, 5486, 116537, 102717, 109416, 16995, 100604, 102083, 114598, 103188, 78244, 77181, 124897, 1811, 27452, 116285, 115408, 15682, 54459, 124905, 103836, 15024, 5486, 21124, 30512, 107740, 127145, 1811, 122270, 80805, 102741, 109713, 77181, 14783, 68759, 103830, 50667, 124905, 76947, 61689, 1811, 102741, 112508, 111234, 39880, 122401, 81742, 14558, 72661, 863, 37236, 4444, 117828, 5000, 5475, 8, 17905, 113245, 113404, 5486, 122401, 29295, 115079, 107290, 61689, 118855, 5486, 102741, 112508, 111234, 39880, 122401, 117824, 103836, 114435, 72661, 37236, 71289, 38, 2816, 30512, 107740, 103792, 30926, 27452, 29295, 43240, 104680, 57903, 33541, 1811, 122270, 107059, 65299, 45923, 125175, 72661, 37236, 71289, 14783, 30512, 107740, 56051, 102944, 29295, 43240, 47884, 57903, 33541, 125939, 71289, 5486, 16519, 3711, 16144, 67645, 33121, 32149, 115303, 59739, 72661, 125478, 26854, 76171, 57207, 68408, 52414, 29295, 102404, 21990, 112990, 91482, 76428, 102750, 22398, 71289, 104654, 20230, 43240, 27384, 26854, 117375, 30512, 20834, 30369, 102083, 78183, 106824, 61689, 1811, 102616, 20230, 77693, 103378, 16144, 117375, 107407, 15120, 24273, 5486, 112997, 29220, 71289, 109606, 30512, 15682, 33503, 126559, 102677, 64467, 112419, 32977, 57903, 33541, 109807, 30591, 115926, 15682, 13177, 1820, 3116, 27438, 3711, 12, 64803, 119126, 101559, 29295, 109832, 31431, 104721, 107800, 102616, 116326, 118283, 67075, 9458, 107391, 42634, 111234, 25197, 102700, 7705, 30512, 48154, 111182, 72315, 1811, 30813, 38144, 115408, 105459, 107740, 30046, 55031, 64121, 38144, 5486, 109606, 28542, 15682, 33334, 33334, 57980, 27929, 88852, 16144, 121640, 106046, 123671, 33541, 9174, 9458, 120273, 103664, 44915, 29295, 35818, 102781, 116787, 5486, 120273, 103664, 71289, 77195, 122489, 32977, 15120, 24273, 9554, 198, 9458, 2984, 16556, 111800, 52084, 56051, 104983, 106116, 113702, 16144, 52563, 110480, 25129, 29295, 16937, 108950, 31958, 198, 9458, 53283, 31431, 106956, 44915, 20230, 16205, 123, 31431, 100815, 47884, 110115, 46034, 56965, 29295, 32149, 32149, 117295, 5486, 78183, 107277, 20230, 47884, 16995, 198, 9458, 107740, 64889, 35330, 29295, 111017, 45736, 198, 9458, 125104, 5486, 104908, 56051, 108134, 16144, 40452, 5486, 123050, 29295, 16937, 108950, 31958, 198, 11144, 16519, 3711, 68379, 116310, 105550, 11571, 112677, 41949, 6616, 90581, 112479, 679, 24, 8107, 16, 9953, 1691, 117816, 52591, 93488, 117718, 119526, 123050, 40265, 91077, 29295, 14783, 113115, 39926, 5486, 41949, 6616, 108010, 95543, 30512, 114667, 20230, 2636, 15, 32307, 108152, 118517, 7, 103664, 5538, 117913, 35757, 8, 16144, 44416, 114940, 35330, 16144, 46456, 124237, 16995, 30512, 51609, 100204, 79721, 1811, 41949, 6616, 108010, 95543, 112212, 73361, 114435, 20230, 44416, 114940, 35330, 29295, 111681, 103646, 85707, 107436, 16144, 30926, 27452, 38641, 1811, 102433, 72661, 16519, 3711, 30512, 116348, 76947, 116898, 85791, 16995, 85791, 26854, 91875, 50834, 115991, 33541, 29295, 110371, 30926, 27452, 15682, 16519, 3711, 68379, 116310, 105550, 107118, 120267, 102769, 110615, 117840, 9174, 26854, 112371, 5486, 14783, 20230, 44416, 114940, 35330, 29295, 111681, 103646, 104865, 95532, 58426, 114667, 15682, 36668, 20230, 108134, 104908, 16144, 41007, 19732, 58426, 126794, 16144, 115181, 41007, 20230, 57903, 33541, 9174, 126843, 5486, 14783, 15682, 108134, 104908, 30046, 10110, 22656, 17792, 7705, 111363, 108134, 104908, 29295, 16937, 114392, 16556, 108950, 31958, 34171, 29295, 103167, 16995, 19732, 122225, 84389, 79721, 1811, 14783, 15682, 121568, 101682, 25333, 30512, 115181, 54926, 104983, 5486, 107740, 113173, 71289, 25333, 9554, 102831, 26955, 254, 50667, 30512, 114392, 20230, 22656, 17792, 20230, 31958, 20379, 54926, 109215, 115991, 33541, 29295, 106116, 41007, 29295, 20, 18904, 25580, 123470, 106826, 103830, 30512, 119870, 104004, 109215, 115991, 5486, 109431, 102769, 16556, 100604, 19732, 104736, 23187, 84389, 79721, 9174, 122270, 5486, 108285, 58655, 71289, 68759, 38248, 109, 103906, 94550, 112415, 16556, 121568, 108134, 30512, 115181, 54926, 104983, 5486, 123782, 29295, 863, 40862, 37689, 863, 104856, 103836, 100909, 55031, 123213, 114754, 36668, 33014, 119012, 31958, 105184, 26854, 126794, 20230, 75146, 109669, 16995, 126386, 19732 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 109954, 1811, 121568, 111363, 77413, 87447, 32977, 17905, 65743, 19732, 22656, 107707, 28190, 30177, 16556, 22656, 107707, 110526, 71289, 37689, 70141, 5486, 17905, 65743, 16144, 125494, 50667, 30512, 55999, 19361, 15024, 5486, 110176, 30046, 40862, 37689, 120938, 16556, 30832, 105888, 30512, 116700, 39926, 72315, 1811, 220, 27452, 116285, 5486, 13870, 232, 61337, 15682, 2118, 47260, 108969, 102803, 39880, 107446, 108729, 24273, 13393, 251, 863, 30512, 116700, 127145, 9174, 11144, 108134, 64810, 123283, 37823, 103906, 20230, 108167, 103214, 104004, 111942, 107461, 20251, 111363, 103359, 105226, 21909, 112479, 37271, 103296, 20230, 72718, 105898, 121568, 108134, 118487, 44647, 102, 58721, 30512, 114284, 20834, 39926, 72315, 1811, 118899, 16556, 127105, 5486, 48915, 34048, 117758, 16937, 37656, 39880, 122086, 22398, 20230, 107991, 118487, 44647, 102, 29295, 43240, 115737, 31431, 79721, 29295, 5486, 102717, 25827, 112028, 11881, 242, 25580, 15682, 108134, 118487, 44647, 102, 102083, 116285, 5486, 863, 24186, 61337, 102351, 863, 863, 24186, 105647, 124955, 61337, 102351, 863, 863, 24186, 48915, 26130, 61826, 61337, 102351, 863, 29295, 109373, 17792, 102677, 112973, 23187, 87217, 11571, 16556, 56051, 107644, 107430, 126867, 101682, 107674, 106548, 76537, 43514, 113115, 54926, 106548, 104196, 15024, 5486, 114774, 29295, 117063, 55031, 27704, 17129, 76947, 5486, 9039, 8107, 112772, 35330, 103842, 255, 113173, 5486, 59739, 109709, 108134, 30512, 113487, 50834, 18655, 76947, 105525, 76947, 114732, 114016, 95604, 58721, 32977, 57903, 79721, 1811, 67645, 103171, 20230, 80195, 105647, 26854, 106548, 103214, 64121, 71289, 33710, 64178, 126694, 114598, 124042, 9554, 102052, 107461, 20251, 33671, 30537, 9174, 110229, 16556, 5486, 107461, 20251, 114556, 39926, 15682, 119448, 47884, 17, 59739, 20230, 106592, 113727, 123207, 26854, 31431, 107515, 1811, 16, 59739, 62004, 15682, 37689, 111629, 21105, 103, 16995, 89154, 71493, 5486, 78459, 78205, 100560, 250, 5486, 30297, 42891, 107277, 102083, 100472, 101198, 22398, 103181, 82533, 38641, 1811, 17, 59739, 30832, 15682, 109161, 37689, 114792, 28713, 110615, 124122, 103359, 105226, 38641, 9174, 16995, 101860, 33121, 105352, 55999, 33035, 103792, 104468, 123334, 15682, 31431, 20251, 44971, 118928, 94550, 1811, 36668, 20230, 64810, 123283, 37823, 103906, 123863, 37689, 109375, 9458, 104736, 109375, 30512, 109205, 69978, 15024, 122603, 109315, 102944, 1811, 27452, 116285, 5486, 118899, 16144, 64810, 123283, 37823, 103906, 115517, 5486, 43511, 61337, 16144, 58721, 9458, 30926, 117625, 27452, 5486, 33710, 64178, 108010, 95543, 30512, 109373, 56051, 107803, 20230, 101067, 23187, 107001, 106084, 30926, 50667, 124845, 5486, 22398, 62903, 33710, 122060, 1811, 121568, 108134, 50667, 107693, 26854, 119526, 71289, 108134, 30512, 108167, 121247, 30297, 107803, 5486, 46034, 110480, 71289, 33710, 64178, 16144, 41642, 53283, 5486, 102741, 112508, 111234, 39880, 71289, 101513, 32648, 16144, 33655, 16995, 24273, 30512, 50834, 43514, 127842, 96356, 20230, 47000, 105784, 109215, 115991, 33541, 1811, 102131, 16995, 116285, 5486, 9039, 8107, 25580, 5486, 108156, 16144, 110904, 95001, 19732, 102404, 26130, 82900, 30512, 56965, 108010, 58942, 110745, 112495, 125173, 104698, 30512, 118158, 30926, 27452, 115991, 79721, 9174, 109606, 15682, 5486, 863, 109161, 37689, 114792, 28713, 110615, 124122, 103359, 105226, 863, 38641, 1811, 61337, 102351, 16144, 120267, 26854, 31431, 101983, 33121, 102677, 59739, 123731, 15682, 105811, 103892, 124897, 1811, 107118, 16995, 58942, 5486, 61337, 102351, 16144, 122502, 50834, 126172, 30813, 5486, 122502, 50834, 104486, 7741, 238, 19732, 115791, 106592, 78698, 107800, 102923, 105226, 15682, 109215, 123253, 1811, 106515, 16995, 5486, 122502, 50834, 24273, 119254, 109020, 102944, 29295, 105335, 84477, 78434, 105879, 117119, 33503, 116421, 102923, 105226, 30512, 76537, 59739, 110115, 126521, 101513, 38093, 123253, 9174, 11144, 108134, 64810, 123283, 37823, 103906, 20230, 108167, 103214, 104004, 111942, 90962, 106384, 22398, 113115, 54926, 103359, 105226, 21909, 112479, 64810, 123283, 37823, 103906, 103359, 105226, 15682, 5486, 43240, 30358, 117657, 105908, 27384, 102769, 38641, 1811, 27452, 116285, 5486, 90962, 106384, 22398, 91482, 33710, 109156, 104157, 103792, 107803, 5486, 55999, 19361, 34048, 20230, 104970, 104874, 123141, 29295, 106839, 17701, 84389, 5486, 114363, 19361, 34048, 109156, 30369, 103846, 102052, 103283, 16144, 112258, 113, 71289, 123218, 29295, 109215, 127303, 104984, 115847, 121142, 41920, 30358, 121711, 33541, 1811, 122270, 5486, 102923, 91779, 254, 88367, 26854, 102181, 107086, 117083, 102944, 15682, 58426, 71493, 104603, 16556, 46091, 30358, 121711, 33541, 1811, 43240, 30358, 33208, 5486, 17663, 26854, 78183, 43514, 15120, 30358, 105755, 41920, 30358, 127862, 30358, 105755, 46091, 30358, 124226, 30358, 105755, 64803, 30358, 1131, 1811, 43240, 30358, 33208, 126693, 54926, 108680, 39880, 122086, 22398, 54926, 124122, 110426, 15682, 45736, 115737, 31431, 5486, 64810, 123283, 37823, 103906, 103359, 105226, 15682, 105755, 104195, 107608, 26854, 102944, 121711, 33541, 115397, 24273, 5486, 43240, 30358, 33208, 126693, 54926, 108680, 39850, 102860, 11972, 115717, 33541, 1811, 123218, 71289, 112258, 113, 15682, 58426, 17620, 109215, 117282, 105879, 1131, 1811, 51330, 14558, 20230, 48249, 121140, 5486, 108134, 64810, 123283, 37823, 103906, 103359, 105226, 30512, 104195, 33208, 126693, 54926, 108680, 5486, 60632, 102924, 34171, 30512, 125173, 26854, 30297, 125396, 29295, 45736, 115737, 31431, 33541, 1811, 108134, 64810, 123283, 37823, 103906, 103359, 105226, 15682, 5486, 104195, 107608, 30813, 19732, 60632, 102924, 34171, 16144, 66953, 119930, 30512, 113727, 5486, 112997, 29220, 20230, 106608, 100204, 38144, 103350, 102923, 54926, 105908, 107693, 38641, 9174, 16995, 17129, 67645, 50834, 5486, 90962, 106384, 22398, 20230, 119147, 117399, 29295, 17701, 30369, 114016, 104655, 47884, 109335, 83747, 100604, 119627, 5486, 43240, 119064, 108695, 77181, 90962, 106384, 22398, 20230, 107693, 26854, 108134, 71289, 119526, 30512, 22324, 16995, 101732, 31431, 108048, 33503, 20230, 39880, 122086, 22398, 54926, 117501, 115991, 33541, 1811, 27452, 116285, 5486, 60868, 112164, 115247, 102332, 22324, 5486, 80805, 102741, 109713, 16144, 102332, 22324, 5486, 112258, 113, 71289, 17701, 56906, 16556, 38129, 54926, 123218, 5486, 64810, 123283, 37823, 103906, 17905, 16144, 95001, 112603, 15682, 107173, 32149, 47884, 5486, 102321, 35330, 5486, 103350, 104371, 50667, 1811, 90962, 106384, 22398, 113115, 54926, 103359, 105226, 15682, 58426, 103983, 105564, 38641, 118855, 5486, 123218, 27869, 249, 21388, 123429, 15682, 39442, 36785, 43240, 119064, 108695, 16556, 102404, 21990, 127145, 1811, 112258, 113, 71289, 123218, 15682, 90962, 106384, 22398, 20230, 39880, 122086, 22398, 54926, 124122, 119869, 16144, 71493, 102832, 38641, 1811, 112258, 113, 71289, 123218, 30512, 110968, 127564, 5486, 56965, 121953, 103470, 33563, 19361, 103792, 32149, 5486, 21388, 47884, 109768, 100604, 32149, 30512, 23187, 23538, 112535, 116696, 48552, 54926, 106592, 53508, 100, 62004, 33541, 1811, 126738, 5486, 112258, 113, 71289, 123218, 30512, 37087, 102351, 20230, 110968, 17663, 109215, 119703, 107803, 5486, 95221, 30512, 47000, 105784, 109335, 863, 109215, 26854, 17792, 20230, 103378, 110968, 17663, 863, 38641, 1811, 32307, 29295, 15120, 30512, 113727, 5486, 33655, 30297, 109335, 102717, 19732, 124592, 100604, 105352, 97518, 78183, 121140, 5486, 111654, 21105, 234, 30369, 114754, 61689, 29295, 5486, 110968, 39926, 112987, 76622, 107515, 1811, 109215, 119703, 17792, 20230, 110968, 30813, 100604, 123017, 107693, 26854, 64810, 123283, 37823, 103906, 103359, 105226, 38641, 9174, 11144, 108134, 64810, 123283, 37823, 103906, 20230, 108167, 103214, 104004, 111942, 964, 113115, 54926, 103359, 105226, 21909, 112479, 964, 16144, 30832, 112854, 17129, 102800, 103130, 77413, 112987, 17129, 115143, 122984, 16144, 109215, 120937, 123253, 124845, 5486, 964, 16144, 103130, 77413, 20230, 105564, 104873, 30512, 114146, 30369, 116421, 30624, 47884, 5486, 108134, 64810, 123283, 37823, 103906, 32977, 42016, 50667, 71689, 16144, 22398, 70563, 65575, 16556, 103130, 77413, 11571, 39926, 50834, 79721, 1811, 105321, 72342, 5486, 102717, 25827, 16144, 508, 8107, 25580, 102052, 64810, 123283, 37823, 103906, 19732, 117952, 106824, 101067, 66201, 54926, 104468, 863, 104970, 104874, 863, 16556, 56051, 55031, 1811, 112599, 5486, 108134, 64810, 123283, 37823, 103906, 17905, 16144, 32335, 32977, 119448, 16995, 112997, 29220, 15682, 964, 97518, 89046, 38641, 66327, 108134, 64810, 123283, 37823, 103906, 103359, 105226, 16556, 8239, 114503, 109904, 41007, 15682, 124897, 32149, 91006, 19732, 105284, 99397, 107001, 105908, 57903, 33541, 9174, 112073, 117940, 5486, 112366, 16144, 108134, 64810, 123283, 37823, 103906, 103359, 105226, 15682, 99849, 36785, 106046, 61689, 32149, 95532, 122582, 118823, 102756, 105048, 124905, 78183, 100604, 100909, 5486, 80539, 107693, 26854, 108134, 71289, 119526, 114792, 28713, 100604, 100909, 16144, 17, 59739, 38641, 1811, 27929, 32977, 27929, 32977, 80805, 102741, 109713, 30512, 114435, 121142, 103470, 5486, 121568, 16556, 33655, 30297, 105908, 108936, 33208, 56051, 104468, 72342, 16995, 112371, 16995, 966, 8107, 25580, 1811, 124773, 123437, 67075, 15682, 58426, 9039, 8107, 74482, 109900, 105755, 25580, 15682, 5486, 863, 110191, 118372, 863, 102083, 114598, 119526, 37705, 22023, 29295, 104712, 19732, 22957, 9174, 30813, 38144, 5486, 964, 16556, 113727, 123207, 105110, 100604, 103359, 105226, 15682, 88852, 121711, 33541, 9174, 9458, 118823, 102756, 105048, 71289, 60868, 112164, 11972, 50667, 16144, 76171, 52591, 32131, 97518, 89046, 198, 9458, 29220, 102803, 39880, 52414, 101513, 32648, 10110, 68408, 22398, 110548, 103830, 71289, 101335, 84477, 80805, 102741, 109713, 5486, 120988, 115351, 79982, 106968, 5486, 54459, 5486, 124131, 103927, 50667, 23954, 9458, 107740, 103792, 102741, 112508, 111234, 39880, 198, 9458, 107740, 54926, 31634, 102351, 16144, 22398, 62903, 33710, 5486, 104736, 109375, 198, 11144, 120065, 108385, 31431, 45893, 112479, 37271, 18904, 15682, 5486, 108064, 102944, 87177, 55031, 120065, 108385, 31431, 45893, 9174, 118899, 117119, 32149, 19732, 87177, 104482, 108176, 16519, 3711, 1811, 48154, 25359, 53283, 5486, 14783, 5486, 27665, 5486, 21124, 5486, 26948, 102083, 100472, 109098, 27384, 964, 114435, 16144, 103892, 88435, 38641, 113637, 19, 61337, 19732, 117864, 47884, 18655, 73686, 119703, 121606, 5486, 114435, 5486, 116537, 102717, 109416, 16995, 100604, 102083, 114598, 103188, 78244, 77181, 124897, 1811, 27452, 116285, 115408, 15682, 54459, 124905, 103836, 15024, 5486, 21124, 30512, 107740, 127145, 1811, 122270, 80805, 102741, 109713, 77181, 14783, 68759, 103830, 50667, 124905, 76947, 61689, 1811, 102741, 112508, 111234, 39880, 122401, 81742, 14558, 72661, 863, 37236, 4444, 117828, 5000, 5475, 8, 17905, 113245, 113404, 5486, 122401, 29295, 115079, 107290, 61689, 118855, 5486, 102741, 112508, 111234, 39880, 122401, 117824, 103836, 114435, 72661, 37236, 71289, 38, 2816, 30512, 107740, 103792, 30926, 27452, 29295, 43240, 104680, 57903, 33541, 1811, 122270, 107059, 65299, 45923, 125175, 72661, 37236, 71289, 14783, 30512, 107740, 56051, 102944, 29295, 43240, 47884, 57903, 33541, 125939, 71289, 5486, 16519, 3711, 16144, 67645, 33121, 32149, 115303, 59739, 72661, 125478, 26854, 76171, 57207, 68408, 52414, 29295, 102404, 21990, 112990, 91482, 76428, 102750, 22398, 71289, 104654, 20230, 43240, 27384, 26854, 117375, 30512, 20834, 30369, 102083, 78183, 106824, 61689, 1811, 102616, 20230, 77693, 103378, 16144, 117375, 107407, 15120, 24273, 5486, 112997, 29220, 71289, 109606, 30512, 15682, 33503, 126559, 102677, 64467, 112419, 32977, 57903, 33541, 109807, 30591, 115926, 15682, 13177, 1820, 3116, 27438, 3711, 12, 64803, 119126, 101559, 29295, 109832, 31431, 104721, 107800, 102616, 116326, 118283, 67075, 9458, 107391, 42634, 111234, 25197, 102700, 7705, 30512, 48154, 111182, 72315, 1811, 30813, 38144, 115408, 105459, 107740, 30046, 55031, 64121, 38144, 5486, 109606, 28542, 15682, 33334, 33334, 57980, 27929, 88852, 16144, 121640, 106046, 123671, 33541, 9174, 9458, 120273, 103664, 44915, 29295, 35818, 102781, 116787, 5486, 120273, 103664, 71289, 77195, 122489, 32977, 15120, 24273, 9554, 198, 9458, 2984, 16556, 111800, 52084, 56051, 104983, 106116, 113702, 16144, 52563, 110480, 25129, 29295, 16937, 108950, 31958, 198, 9458, 53283, 31431, 106956, 44915, 20230, 16205, 123, 31431, 100815, 47884, 110115, 46034, 56965, 29295, 32149, 32149, 117295, 5486, 78183, 107277, 20230, 47884, 16995, 198, 9458, 107740, 64889, 35330, 29295, 111017, 45736, 198, 9458, 125104, 5486, 104908, 56051, 108134, 16144, 40452, 5486, 123050, 29295, 16937, 108950, 31958, 198, 11144, 16519, 3711, 68379, 116310, 105550, 11571, 112677, 41949, 6616, 90581, 112479, 679, 24, 8107, 16, 9953, 1691, 117816, 52591, 93488, 117718, 119526, 123050, 40265, 91077, 29295, 14783, 113115, 39926, 5486, 41949, 6616, 108010, 95543, 30512, 114667, 20230, 2636, 15, 32307, 108152, 118517, 7, 103664, 5538, 117913, 35757, 8, 16144, 44416, 114940, 35330, 16144, 46456, 124237, 16995, 30512, 51609, 100204, 79721, 1811, 41949, 6616, 108010, 95543, 112212, 73361, 114435, 20230, 44416, 114940, 35330, 29295, 111681, 103646, 85707, 107436, 16144, 30926, 27452, 38641, 1811, 102433, 72661, 16519, 3711, 30512, 116348, 76947, 116898, 85791, 16995, 85791, 26854, 91875, 50834, 115991, 33541, 29295, 110371, 30926, 27452, 15682, 16519, 3711, 68379, 116310, 105550, 107118, 120267, 102769, 110615, 117840, 9174, 26854, 112371, 5486, 14783, 20230, 44416, 114940, 35330, 29295, 111681, 103646, 104865, 95532, 58426, 114667, 15682, 36668, 20230, 108134, 104908, 16144, 41007, 19732, 58426, 126794, 16144, 115181, 41007, 20230, 57903, 33541, 9174, 126843, 5486, 14783, 15682, 108134, 104908, 30046, 10110, 22656, 17792, 7705, 111363, 108134, 104908, 29295, 16937, 114392, 16556, 108950, 31958, 34171, 29295, 103167, 16995, 19732, 122225, 84389, 79721, 1811, 14783, 15682, 121568, 101682, 25333, 30512, 115181, 54926, 104983, 5486, 107740, 113173, 71289, 25333, 9554, 102831, 26955, 254, 50667, 30512, 114392, 20230, 22656, 17792, 20230, 31958, 20379, 54926, 109215, 115991, 33541, 29295, 106116, 41007, 29295, 20, 18904, 25580, 123470, 106826, 103830, 30512, 119870, 104004, 109215, 115991, 5486, 109431, 102769, 16556, 100604, 19732, 104736, 23187, 84389, 79721, 9174, 122270, 5486, 108285, 58655, 71289, 68759, 38248, 109, 103906, 94550, 112415, 16556, 121568, 108134, 30512, 115181, 54926, 104983, 5486, 123782, 29295, 863, 40862, 37689, 863, 104856, 103836, 100909, 55031, 123213, 114754, 36668, 33014, 119012, 31958, 105184, 26854, 126794, 20230, 75146, 109669, 16995, 126386, 19732 ]
[ 122225, 84389, 79721, 1811, 126794, 15682, 121568, 108134, 16144, 107740, 113173, 121410, 20230, 115181, 21105, 103, 118145, 26854, 31431, 107515, 29295, 5486, 14783, 15682, 108399, 112535, 115181, 103792, 103846, 5486, 121568, 108134, 16144, 18655, 121247, 16995, 29295, 22656, 107707, 31958, 105184, 26854, 126794, 20230, 75146, 109669, 16995, 126386, 19732, 122225, 84389, 79721, 9174, 15682, 5486, 108064, 102944, 87177, 55031, 120065, 108385, 31431, 45893, 9174, 64780, 124523, 3630, 26797, 41226, 114163, 198, 11144, 121568, 108134, 115181, 107420, 64810, 22398, 20230, 109606, 57903, 11571, 11571, 112479, 102433, 72661, 16519, 3711, 113115, 39926, 5486, 106063, 108493, 25333, 113245, 106045, 44416, 29295, 111800, 118219, 110731, 100909, 55031, 5486, 41949, 6616, 16144, 113727, 24273, 71289, 91875, 50834, 29295, 16519, 3711, 68379, 116310, 105550, 103306, 15017, 231, 58942, 102204, 29295, 43514, 38641, 1811, 52591, 93488, 117718, 119526, 123050, 40265, 91077, 15682, 679, 23, 8107, 806, 9953, 20230, 863, 93901, 64, 3431, 863, 113115, 120837, 41949, 6616, 108010, 95543, 103195, 106592, 104970, 58655, 127145, 34045, 93901, 64, 3431, 863, 1, 15682, 102433, 16556, 95604, 102832, 109482, 68581, 11972, 114435, 16556, 5486, 108285, 58655, 36668, 20230, 31640, 78183, 76947, 110191, 118372, 108285, 58655, 118347, 61398, 30512, 109198, 17701, 54926, 108695, 38641, 1811, 115963, 20230, 37026, 61337, 16144, 39880, 115507, 19732, 89046, 120988, 39926, 108152, 38248, 114, 115247, 68408, 66953, 112900, 71289, 110101, 65299, 103988, 123863, 82912, 108134, 50667, 30512, 110226, 43167, 108608, 103223, 64178, 30512, 104908, 127145, 113637, 110226, 43167, 56051, 119526, 30512, 106596, 39926, 108285, 58655, 36668, 20230, 31640, 78183, 76947, 103359, 47523, 30512, 58254, 252, 31431, 104526, 102189, 108285, 58655, 71289, 107391, 16073, 99695, 107060, 30512, 103350, 102923, 103792, 113334, 38641, 113637, 15120, 89046, 16144, 107420, 64810, 22398, 16556, 115181, 54926, 119526, 15682, 121568, 108134, 116787, 106116, 115181, 20230, 30591, 28713, 76947, 16144, 126794, 30512, 50928, 30369, 107420, 64810, 22398, 29295, 78183, 107277, 20230, 47884, 16995, 5486, 101851, 102, 122202, 102083, 100472, 114667, 16556, 41949, 6616, 108010, 95543, 19732, 122225, 116216, 61689, 1811, 16519, 3711, 19732, 55999, 33035, 103792, 104468, 5486, 121568, 108134, 16144, 115181, 5486, 107740, 50667, 113115, 54926, 107420, 64810, 22398, 29295, 109431, 102769, 16556, 100604, 19732, 122225, 110731, 100909, 38641, 1811, 104405, 32977, 5486, 41949, 6616, 15682, 109242, 122202, 26854, 107420, 64810, 22398, 30512, 50928, 123207, 105110, 100604, 105933, 102944, 15682, 863, 108010, 95543, 863, 19732, 122225, 54926, 117840, 9174, 11144, 108134, 64810, 123283, 37823, 103906, 20230, 108167, 103214, 104004, 111942, 103057, 29245, 245, 61826, 5486, 29172, 120988, 61826, 113115, 54926, 103359, 105226, 21909, 112479, 108695, 16144, 118482, 112415, 15682, 48915, 34048, 110792, 89046, 120988, 103470, 39926, 5486, 13153, 31431, 118013, 107515, 29295, 5486, 122770, 16144, 103768, 112167, 114556, 108826, 54926, 101275, 30046, 15682, 67645, 33121, 103378, 107991, 123253, 32149, 95532, 26892, 53953, 97518, 89046, 77181, 5486, 80866, 19012, 225, 101275, 30046, 5486, 35894, 104873, 71289, 101721, 95221, 50667, 16144, 120370, 10110, 28542, 111800, 7705, 101275, 30046, 9174, 109249, 117856, 30046, 111363, 125175, 77181, 5486, 37823, 102750, 113883, 107167, 118928, 94550, 101275, 30046, 5486, 114834, 20230, 22324, 102532, 101182, 47260, 25005, 240, 38248, 226, 33334, 108104, 16144, 106548, 125639, 61826, 9174, 44971, 71634, 93488, 50667, 16144, 103768, 112167, 30512, 48915, 34048, 20230, 103057, 29245, 245, 39926, 104984, 106116, 101275, 30046, 9174, 105335, 26269, 52591, 16144, 105647, 124955, 114475, 76622, 100481, 104984, 5486, 105647, 124955, 24186, 16144, 108695, 9174, 80539, 5486, 104774, 71634, 52884, 26269, 119557, 61337, 120950, 120999, 116229, 9174, 112599, 5486, 122770, 16144, 120999, 116229, 15682, 9039, 43240, 47884, 57903, 5486, 122270, 77693, 33503, 30512, 125261, 54926, 116229, 32977, 109242, 9039, 57903, 33541, 9174, 679, 21, 8107, 24, 9953, 20230, 125053, 103646, 13177, 110191, 118372, 120523, 18655, 73686, 125175, 123863, 113164, 102663, 84477, 113702, 10646, 103732, 104533, 5486, 122770, 30512, 107740, 54926, 104983, 5486, 1954, 4, 16144, 114754, 80805, 102741, 109713, 71289, 124131, 103927, 112212, 5486, 2984, 16556, 120999, 127145, 59459, 117409, 120523, 16144, 107803, 16556, 91482, 76428, 102750, 22398, 107740, 30512, 21418, 47884, 7705, 43514, 26854, 64121, 20230, 5486, 125559, 120523, 118816, 1490, 4, 19732, 105268, 104055, 83687, 29295, 17297, 29295, 31431, 33541, 1811, 78698, 107290, 64121, 104984, 115408, 32977, 91482, 76428, 102750, 22398, 5486, 114181, 101426, 30512, 99397, 124059, 5486, 122770, 15682, 108064, 32977, 2984, 16556, 120999, 127145, 1811, 85707, 107436, 23039, 47884, 116245, 118816, 5486, 107740, 112919, 102181, 50834, 121423, 30512, 121846, 117657, 115789, 57903, 33541, 1811, 120523, 113551, 72516, 20230, 114731, 62004, 100934, 53283, 31431, 40862, 16995, 29295, 112844, 102052, 5486, 120523, 113551, 72516, 32977, 32149, 59739, 38144, 15682, 37507, 72516, 25580, 29172, 16556, 105335, 26269, 52591, 30512, 21441, 225, 58942, 5486, 72516, 124750, 16144, 103768, 112167, 5486, 80805, 26269, 102663, 78767, 47043, 50667, 30512, 30358, 103984, 109768, 79721, 29295, 115515, 77181, 112366, 16144, 102803, 66953, 33710, 15682, 2984, 36785, 102131, 16556, 5486, 104195, 47884, 37689, 109375, 103792, 102131, 38641, 9174, 11144, 108134, 64810, 123283, 37823, 103906, 20230, 108167, 103214, 104004, 111942, 103057, 29245, 245, 61826, 5486, 29172, 120988, 61826, 113115, 54926, 103359, 105226, 58426, 17, 21909, 112479, 37271, 18904, 15682, 5486, 117382, 102181, 102334, 100909, 112197, 30813, 110706, 38641, 9174, 679, 23, 8107, 21, 9953, 20230, 104774, 71634, 52884, 26269, 119557, 61337, 10110, 104959, 55139, 16144, 122770, 120999, 116229, 7705, 121960, 5486, 16937, 37656, 39880, 122086, 22398, 58721, 29295, 102404, 21990, 15024, 123085, 117409, 103664, 3443, 16144, 122770, 55031, 843, 32307, 20, 103633, 14558, 16144, 29220, 44971, 76428, 67075, 108134, 30512, 96412, 104004, 121568, 108134, 29295, 89753, 121216, 79721, 118844, 29295, 41949, 6616, 20230, 116875, 109835, 54926, 125396, 115991, 33541, 1811, 26854, 112371, 5486, 40265, 30926, 30046, 103195, 104774, 71634, 52884, 26269, 119557, 61337, 121142, 103470, 106116, 125175, 30512, 107740, 107113, 122770, 103296, 29295, 103359, 47523, 117282, 105879, 109954, 32149, 95532, 41949, 6616, 16144, 113727, 24273, 15682, 863, 58721, 71289, 123429, 16144, 102404, 21990, 104023, 44416, 114940, 35330, 863, 111769, 102677, 100909, 38641, 9174, 99397, 126832, 104468, 5486, 41949, 6616, 113115, 54926, 110783, 110095, 1811, 101182, 16995, 15682, 97518, 89046, 54926, 107420, 64810, 22398, 30512, 30358, 103984, 103792, 32149, 104405, 32149, 38641, 1811, 122770, 110366, 29295, 108134, 118487, 44647, 102, 50667, 5486, 108134, 64810, 123283, 37823, 103906, 113115, 54926, 112997, 29220, 30512, 106596, 56051, 32149, 9174, 122270, 120999, 102677, 121568, 108134, 30512, 108167, 121247, 30297, 121101, 16556, 5486, 48915, 34048, 29295, 104908, 54926, 107059, 65299, 45923, 125175, 30512, 107740, 54926, 5486, 17663, 26854, 78183, 43514, 107693, 26854, 108134, 16144, 18655, 121247, 16995, 5486, 33563, 36651, 30512, 48915, 34048, 20230, 103057, 101832, 30369, 100909, 123863, 112997, 29220, 30512, 106596, 56051, 32149, 9174, 58426, 30297, 58942, 16556, 5486, 109215, 26854, 103359, 105226, 30512, 19732, 31431, 5486, 103057, 29245, 245, 61826, 113115, 54926, 40452, 9458, 123113, 126198, 32149, 9174, 11144, 108134, 64810, 123283, 37823, 103906, 20230, 108167, 103214, 104004, 111942, 103057, 29245, 245, 61826, 5486, 29172, 120988, 61826, 113115, 54926, 103359, 105226, 58426, 18, 21909, 112479, 103057, 29245, 245, 61826, 5486, 29172, 120988, 61826, 10110, 23897, 104989, 5486, 103057, 29245, 245, 61826, 117408, 7705, 111363, 103359, 105226, 15682, 119448, 47884, 5486, 18655, 73686, 111671, 123628, 116696, 48552, 5486, 18655, 73686, 111671, 123470, 110423, 103984, 9458, 123113, 115991, 33541, 9174, 105021, 103057, 29245, 245, 61826, 123863, 18655, 73686, 111671, 123628, 116696, 48552, 111831, 27452, 111942, 108936, 21909, 103705, 198, 9458, 108134, 64810, 123283, 37823, 103906, 10110, 121568, 108134, 123050, 30512, 96412, 104004, 7705, 20230, 108167, 103214, 126559, 32149, 198, 9458, 40265, 61337, 16144, 89154, 37823, 120404, 114475, 76622, 17701, 104028, 32149, 198, 9458, 25141, 71289, 47, 68759, 105048, 16144, 104736, 110322, 5486, 104736, 23187, 114475, 76622, 100934, 32149, 198, 9458, 23187, 23538, 112535, 20251, 44971, 118928, 94550, 117824, 103836, 32149, 198, 9458, 17792, 103234, 15682, 51385, 23187, 103792, 32149, 10110, 61337, 102351, 16144, 125639, 109913, 116547, 15682, 106266, 106624, 100604, 32149, 23954, 9458, 126238, 105047, 30926, 107328, 102404, 21990, 125344, 89046, 117139, 5486, 117271, 16144, 33014, 44416, 30512, 64531, 104874, 103792, 32149, 198, 10110, 7705, 679, 23, 8107, 21, 9953, 20230, 104774, 71634, 52884, 26269, 119557, 61337, 10110, 104959, 55139, 16144, 122770, 120999, 116229, 7705, 121960, 5486, 16937, 37656, 39880, 122086, 22398, 58721, 29295, 102404, 21990, 15024, 123085, 117409, 103664, 3443, 16144, 122770, 55031, 843, 32307, 20, 103633, 14558, 16144, 29220, 44971, 76428, 67075, 108134, 30512, 96412, 104004, 121568, 108134, 29295, 89753, 121216, 79721, 118844, 29295, 41949, 6616, 20230, 116875, 109835, 54926, 125396, 115991, 33541, 1811, 26854, 112371, 5486, 40265, 30926, 30046, 103195, 104774, 71634, 52884, 26269, 119557, 61337, 121142, 103470, 106116, 125175, 30512, 107740, 107113, 122770, 103296, 29295, 103359, 47523, 117282, 105879, 109954, 32149, 95532, 105021, 103057, 29245, 245, 61826, 123863, 18655, 73686, 111671, 123628, 116696, 48552, 111831, 27452, 111942, 107059, 65299, 45923, 107740, 21909, 103705, 198, 9458, 60868, 112164, 11972, 50667, 16144, 102332, 22324, 119208, 198, 9458, 60868, 112164, 11972, 15682, 43240, 30358, 33208, 103792, 32149, 10110, 109242, 9039, 16144, 119208, 111848, 66953, 48552, 122060, 33014, 44416, 29295, 64531, 103836, 32149, 23954, 9458, 64810, 123283, 37823, 103906, 103359, 105226, 15682, 67645, 16144, 101200, 101983, 103836, 32149, 198, 9458, 5002, 47, 10110, 118482, 120321, 106307, 82420, 55723, 7705, 30512, 64531, 104874, 103792, 32149, 198, 90620, 15024, 5486, 107059, 65299, 45923, 125175, 107420, 119732, 99959, 15682, 85701, 120577, 108134, 30512, 863, 64810, 123283, 37823, 103906, 863, 30512, 16555, 122, 20230, 121298, 21105, 103, 118544, 110241, 33121, 107515, 29295, 9522, 11144, 108134, 64810, 123283, 37823, 103906, 20230, 108167, 103214, 104004, 111942, 103057, 29245, 245, 61826, 5486, 29172, 120988, 61826, 113115, 54926, 103359, 105226, 58426, 19, 21909, 112479, 103057, 29245, 245, 61826, 5486, 29172, 120988, 61826, 10110, 23897, 104989, 5486, 103057, 29245, 245, 61826, 117408, 7705, 111363, 103359, 105226, 15682, 18655, 73686, 111671, 123628, 116696, 48552, 103378, 77181, 16937, 114392, 38641, 1811, 18655, 73686, 30512, 106307, 76622, 100934, 19732, 82973, 16144, 106613, 103188, 19732, 107173, 20230, 103057, 29245, 245, 105226, 37026, 33014, 20230, 104721, 33208, 29295, 21990, 100204, 100934, 125396, 115991, 33541, 1811, 110423, 103984, 9458, 123113, 102677, 71689, 5486, 23187, 23538, 9554, 5486, 109249, 55228, 95, 24775, 107173, 8107, 16, 18904, 113314, 15682, 120007, 16144, 127749, 30512, 102178, 111665, 54926, 105908, 27384, 102769, 38641, 1811, 66378, 20230, 107059, 65299, 45923, 125175, 30512, 104908, 110731, 107803, 5486, 53283, 110104, 122756, 5486, 117475, 15682, 50834, 43514, 127842, 114397, 110731, 16144, 119627, 5486, 108152, 38248, 114, 11972, 110366, 29295, 116499, 47000, 126660, 115789, 101182, 105879, 5486, 23187, 23538, 112535, 127749, 30512, 102178, 111665, 54926, 109335, 107693, 38641, 9174, 105021, 103057, 29245, 245, 61826, 113115, 54926, 18655, 73686, 111671, 123470, 116696, 48552, 111831, 27452, 103705, 198, 9458, 13177, 104873, 112984, 95544, 117503, 118664, 30512, 32018, 109315, 198, 9458, 106613, 112167, 114050, 71289, 116388, 34048, 114050, 19732, 23187, 23538, 112535, 28190, 38093, 15024, 5486, 127749, 30512, 102178, 111665, 54926, 198, 9458, 80195, 17701, 104873, 112984, 117824, 30297, 198, 9458, 964, 97518, 89046, 127303, 104984, 5486, 123141, 16144, 103768, 11883, 127749, 16144, 120270, 30512, 32018, 109315, 198, 9458, 5002, 47, 16144, 103350, 102923, 127749, 5486, 111800, 110322, 19967, 101275, 16144, 127749, 16144, 120270, 30512, 32018, 109315, 198, 11144, 108134, 64810, 123283, 37823, 103906, 20230, 108167, 103214, 104004, 111942, 103057, 29245, 245, 61826, 5486, 29172, 120988, 61826, 113115, 54926, 103359, 105226, 58426, 20, 21909, 112479, 679, 23, 8107, 24, 9953, 21, 9080, 35424, 25580, 18, 39177, 103188, 105557, 20230, 49409, 119194, 124533, 107084, 101778, 34048, 30590, 110441, 29295, 102404, 21990, 121256, 113637, 30590, 110441, 15682, 44, 21, 13, 22, 5486, 110441, 39084, 16144, 102987, 30813, 1806, 42, 76, 5486, 112366, 110441, 27479, 22, 102677, 27384, 112495, 30590, 110441, 16556, 56051, 113637, 30590, 110441, 114556, 89046, 39926, 109242, 9039, 16144, 114435, 55031, 88852, 120950, 87177, 30512, 104655, 50834, 79721, 59459, 30591, 47884, 17129, 72661, 104655, 102334, 87177, 26854, 105879, 5486, 30926, 103350, 19732, 105268, 104055, 108901, 109020, 125396, 107407, 106592, 48154, 35287, 105005, 72315, 23954, 77693, 120577, 108695, 15682, 64810, 123283, 37823, 103906, 103359, 105226, 5486, 61337, 123727, 103768, 11883, 33014, 44416, 30512, 78698, 101557, 106, 15024, 5486, 103927, 127674, 94550, 125175, 30512, 107740, 109768, 79721, 109807, 60868, 112164, 11972, 15682, 49409, 119194, 20230, 102332, 22324, 116216, 108086, 116898, 101860, 33121, 16144, 108695, 105352, 55999, 33035, 107113, 104468, 90962, 57326, 104272, 103195, 66953, 48552, 122060, 125175, 30512, 120273, 103664, 109768, 100604, 118733, 56051, 1811, 30590, 110441, 102404, 21990, 74482, 5486, 103927, 127674, 94550, 125175, 30512, 104908, 103792, 108695, 55031, 89046, 117139, 115991, 79721, 9174, 13177, 2166, 82973, 23897, 32943, 20230, 95475, 101721, 29295, 102404, 21990, 54926, 125396, 107407, 1811, 95475, 101721, 29295, 102404, 21990, 112990, 125175, 30512, 104908, 103082, 103470, 109020, 111329, 89046, 117139, 114475, 107674, 108695, 15682, 39880, 47307, 52591, 47307, 56051, 102131, 119627, 120953, 39926, 104712, 124233, 55031, 101860, 121906, 108895, 103792, 32943, 20230, 82973, 103378, 29295, 103188, 105557, 100481, 50834, 79721, 1811, 113702, 112535, 95475, 101721, 15682, 18904, 111098, 84389, 5486, 117375, 15682, 104435, 102131 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 84389, 79721, 1811, 126794, 15682, 121568, 108134, 16144, 107740, 113173, 121410, 20230, 115181, 21105, 103, 118145, 26854, 31431, 107515, 29295, 5486, 14783, 15682, 108399, 112535, 115181, 103792, 103846, 5486, 121568, 108134, 16144, 18655, 121247, 16995, 29295, 22656, 107707, 31958, 105184, 26854, 126794, 20230, 75146, 109669, 16995, 126386, 19732, 122225, 84389, 79721, 9174, 15682, 5486, 108064, 102944, 87177, 55031, 120065, 108385, 31431, 45893, 9174, 64780, 124523, 3630, 26797, 41226, 114163, 198, 11144, 121568, 108134, 115181, 107420, 64810, 22398, 20230, 109606, 57903, 11571, 11571, 112479, 102433, 72661, 16519, 3711, 113115, 39926, 5486, 106063, 108493, 25333, 113245, 106045, 44416, 29295, 111800, 118219, 110731, 100909, 55031, 5486, 41949, 6616, 16144, 113727, 24273, 71289, 91875, 50834, 29295, 16519, 3711, 68379, 116310, 105550, 103306, 15017, 231, 58942, 102204, 29295, 43514, 38641, 1811, 52591, 93488, 117718, 119526, 123050, 40265, 91077, 15682, 679, 23, 8107, 806, 9953, 20230, 863, 93901, 64, 3431, 863, 113115, 120837, 41949, 6616, 108010, 95543, 103195, 106592, 104970, 58655, 127145, 34045, 93901, 64, 3431, 863, 1, 15682, 102433, 16556, 95604, 102832, 109482, 68581, 11972, 114435, 16556, 5486, 108285, 58655, 36668, 20230, 31640, 78183, 76947, 110191, 118372, 108285, 58655, 118347, 61398, 30512, 109198, 17701, 54926, 108695, 38641, 1811, 115963, 20230, 37026, 61337, 16144, 39880, 115507, 19732, 89046, 120988, 39926, 108152, 38248, 114, 115247, 68408, 66953, 112900, 71289, 110101, 65299, 103988, 123863, 82912, 108134, 50667, 30512, 110226, 43167, 108608, 103223, 64178, 30512, 104908, 127145, 113637, 110226, 43167, 56051, 119526, 30512, 106596, 39926, 108285, 58655, 36668, 20230, 31640, 78183, 76947, 103359, 47523, 30512, 58254, 252, 31431, 104526, 102189, 108285, 58655, 71289, 107391, 16073, 99695, 107060, 30512, 103350, 102923, 103792, 113334, 38641, 113637, 15120, 89046, 16144, 107420, 64810, 22398, 16556, 115181, 54926, 119526, 15682, 121568, 108134, 116787, 106116, 115181, 20230, 30591, 28713, 76947, 16144, 126794, 30512, 50928, 30369, 107420, 64810, 22398, 29295, 78183, 107277, 20230, 47884, 16995, 5486, 101851, 102, 122202, 102083, 100472, 114667, 16556, 41949, 6616, 108010, 95543, 19732, 122225, 116216, 61689, 1811, 16519, 3711, 19732, 55999, 33035, 103792, 104468, 5486, 121568, 108134, 16144, 115181, 5486, 107740, 50667, 113115, 54926, 107420, 64810, 22398, 29295, 109431, 102769, 16556, 100604, 19732, 122225, 110731, 100909, 38641, 1811, 104405, 32977, 5486, 41949, 6616, 15682, 109242, 122202, 26854, 107420, 64810, 22398, 30512, 50928, 123207, 105110, 100604, 105933, 102944, 15682, 863, 108010, 95543, 863, 19732, 122225, 54926, 117840, 9174, 11144, 108134, 64810, 123283, 37823, 103906, 20230, 108167, 103214, 104004, 111942, 103057, 29245, 245, 61826, 5486, 29172, 120988, 61826, 113115, 54926, 103359, 105226, 21909, 112479, 108695, 16144, 118482, 112415, 15682, 48915, 34048, 110792, 89046, 120988, 103470, 39926, 5486, 13153, 31431, 118013, 107515, 29295, 5486, 122770, 16144, 103768, 112167, 114556, 108826, 54926, 101275, 30046, 15682, 67645, 33121, 103378, 107991, 123253, 32149, 95532, 26892, 53953, 97518, 89046, 77181, 5486, 80866, 19012, 225, 101275, 30046, 5486, 35894, 104873, 71289, 101721, 95221, 50667, 16144, 120370, 10110, 28542, 111800, 7705, 101275, 30046, 9174, 109249, 117856, 30046, 111363, 125175, 77181, 5486, 37823, 102750, 113883, 107167, 118928, 94550, 101275, 30046, 5486, 114834, 20230, 22324, 102532, 101182, 47260, 25005, 240, 38248, 226, 33334, 108104, 16144, 106548, 125639, 61826, 9174, 44971, 71634, 93488, 50667, 16144, 103768, 112167, 30512, 48915, 34048, 20230, 103057, 29245, 245, 39926, 104984, 106116, 101275, 30046, 9174, 105335, 26269, 52591, 16144, 105647, 124955, 114475, 76622, 100481, 104984, 5486, 105647, 124955, 24186, 16144, 108695, 9174, 80539, 5486, 104774, 71634, 52884, 26269, 119557, 61337, 120950, 120999, 116229, 9174, 112599, 5486, 122770, 16144, 120999, 116229, 15682, 9039, 43240, 47884, 57903, 5486, 122270, 77693, 33503, 30512, 125261, 54926, 116229, 32977, 109242, 9039, 57903, 33541, 9174, 679, 21, 8107, 24, 9953, 20230, 125053, 103646, 13177, 110191, 118372, 120523, 18655, 73686, 125175, 123863, 113164, 102663, 84477, 113702, 10646, 103732, 104533, 5486, 122770, 30512, 107740, 54926, 104983, 5486, 1954, 4, 16144, 114754, 80805, 102741, 109713, 71289, 124131, 103927, 112212, 5486, 2984, 16556, 120999, 127145, 59459, 117409, 120523, 16144, 107803, 16556, 91482, 76428, 102750, 22398, 107740, 30512, 21418, 47884, 7705, 43514, 26854, 64121, 20230, 5486, 125559, 120523, 118816, 1490, 4, 19732, 105268, 104055, 83687, 29295, 17297, 29295, 31431, 33541, 1811, 78698, 107290, 64121, 104984, 115408, 32977, 91482, 76428, 102750, 22398, 5486, 114181, 101426, 30512, 99397, 124059, 5486, 122770, 15682, 108064, 32977, 2984, 16556, 120999, 127145, 1811, 85707, 107436, 23039, 47884, 116245, 118816, 5486, 107740, 112919, 102181, 50834, 121423, 30512, 121846, 117657, 115789, 57903, 33541, 1811, 120523, 113551, 72516, 20230, 114731, 62004, 100934, 53283, 31431, 40862, 16995, 29295, 112844, 102052, 5486, 120523, 113551, 72516, 32977, 32149, 59739, 38144, 15682, 37507, 72516, 25580, 29172, 16556, 105335, 26269, 52591, 30512, 21441, 225, 58942, 5486, 72516, 124750, 16144, 103768, 112167, 5486, 80805, 26269, 102663, 78767, 47043, 50667, 30512, 30358, 103984, 109768, 79721, 29295, 115515, 77181, 112366, 16144, 102803, 66953, 33710, 15682, 2984, 36785, 102131, 16556, 5486, 104195, 47884, 37689, 109375, 103792, 102131, 38641, 9174, 11144, 108134, 64810, 123283, 37823, 103906, 20230, 108167, 103214, 104004, 111942, 103057, 29245, 245, 61826, 5486, 29172, 120988, 61826, 113115, 54926, 103359, 105226, 58426, 17, 21909, 112479, 37271, 18904, 15682, 5486, 117382, 102181, 102334, 100909, 112197, 30813, 110706, 38641, 9174, 679, 23, 8107, 21, 9953, 20230, 104774, 71634, 52884, 26269, 119557, 61337, 10110, 104959, 55139, 16144, 122770, 120999, 116229, 7705, 121960, 5486, 16937, 37656, 39880, 122086, 22398, 58721, 29295, 102404, 21990, 15024, 123085, 117409, 103664, 3443, 16144, 122770, 55031, 843, 32307, 20, 103633, 14558, 16144, 29220, 44971, 76428, 67075, 108134, 30512, 96412, 104004, 121568, 108134, 29295, 89753, 121216, 79721, 118844, 29295, 41949, 6616, 20230, 116875, 109835, 54926, 125396, 115991, 33541, 1811, 26854, 112371, 5486, 40265, 30926, 30046, 103195, 104774, 71634, 52884, 26269, 119557, 61337, 121142, 103470, 106116, 125175, 30512, 107740, 107113, 122770, 103296, 29295, 103359, 47523, 117282, 105879, 109954, 32149, 95532, 41949, 6616, 16144, 113727, 24273, 15682, 863, 58721, 71289, 123429, 16144, 102404, 21990, 104023, 44416, 114940, 35330, 863, 111769, 102677, 100909, 38641, 9174, 99397, 126832, 104468, 5486, 41949, 6616, 113115, 54926, 110783, 110095, 1811, 101182, 16995, 15682, 97518, 89046, 54926, 107420, 64810, 22398, 30512, 30358, 103984, 103792, 32149, 104405, 32149, 38641, 1811, 122770, 110366, 29295, 108134, 118487, 44647, 102, 50667, 5486, 108134, 64810, 123283, 37823, 103906, 113115, 54926, 112997, 29220, 30512, 106596, 56051, 32149, 9174, 122270, 120999, 102677, 121568, 108134, 30512, 108167, 121247, 30297, 121101, 16556, 5486, 48915, 34048, 29295, 104908, 54926, 107059, 65299, 45923, 125175, 30512, 107740, 54926, 5486, 17663, 26854, 78183, 43514, 107693, 26854, 108134, 16144, 18655, 121247, 16995, 5486, 33563, 36651, 30512, 48915, 34048, 20230, 103057, 101832, 30369, 100909, 123863, 112997, 29220, 30512, 106596, 56051, 32149, 9174, 58426, 30297, 58942, 16556, 5486, 109215, 26854, 103359, 105226, 30512, 19732, 31431, 5486, 103057, 29245, 245, 61826, 113115, 54926, 40452, 9458, 123113, 126198, 32149, 9174, 11144, 108134, 64810, 123283, 37823, 103906, 20230, 108167, 103214, 104004, 111942, 103057, 29245, 245, 61826, 5486, 29172, 120988, 61826, 113115, 54926, 103359, 105226, 58426, 18, 21909, 112479, 103057, 29245, 245, 61826, 5486, 29172, 120988, 61826, 10110, 23897, 104989, 5486, 103057, 29245, 245, 61826, 117408, 7705, 111363, 103359, 105226, 15682, 119448, 47884, 5486, 18655, 73686, 111671, 123628, 116696, 48552, 5486, 18655, 73686, 111671, 123470, 110423, 103984, 9458, 123113, 115991, 33541, 9174, 105021, 103057, 29245, 245, 61826, 123863, 18655, 73686, 111671, 123628, 116696, 48552, 111831, 27452, 111942, 108936, 21909, 103705, 198, 9458, 108134, 64810, 123283, 37823, 103906, 10110, 121568, 108134, 123050, 30512, 96412, 104004, 7705, 20230, 108167, 103214, 126559, 32149, 198, 9458, 40265, 61337, 16144, 89154, 37823, 120404, 114475, 76622, 17701, 104028, 32149, 198, 9458, 25141, 71289, 47, 68759, 105048, 16144, 104736, 110322, 5486, 104736, 23187, 114475, 76622, 100934, 32149, 198, 9458, 23187, 23538, 112535, 20251, 44971, 118928, 94550, 117824, 103836, 32149, 198, 9458, 17792, 103234, 15682, 51385, 23187, 103792, 32149, 10110, 61337, 102351, 16144, 125639, 109913, 116547, 15682, 106266, 106624, 100604, 32149, 23954, 9458, 126238, 105047, 30926, 107328, 102404, 21990, 125344, 89046, 117139, 5486, 117271, 16144, 33014, 44416, 30512, 64531, 104874, 103792, 32149, 198, 10110, 7705, 679, 23, 8107, 21, 9953, 20230, 104774, 71634, 52884, 26269, 119557, 61337, 10110, 104959, 55139, 16144, 122770, 120999, 116229, 7705, 121960, 5486, 16937, 37656, 39880, 122086, 22398, 58721, 29295, 102404, 21990, 15024, 123085, 117409, 103664, 3443, 16144, 122770, 55031, 843, 32307, 20, 103633, 14558, 16144, 29220, 44971, 76428, 67075, 108134, 30512, 96412, 104004, 121568, 108134, 29295, 89753, 121216, 79721, 118844, 29295, 41949, 6616, 20230, 116875, 109835, 54926, 125396, 115991, 33541, 1811, 26854, 112371, 5486, 40265, 30926, 30046, 103195, 104774, 71634, 52884, 26269, 119557, 61337, 121142, 103470, 106116, 125175, 30512, 107740, 107113, 122770, 103296, 29295, 103359, 47523, 117282, 105879, 109954, 32149, 95532, 105021, 103057, 29245, 245, 61826, 123863, 18655, 73686, 111671, 123628, 116696, 48552, 111831, 27452, 111942, 107059, 65299, 45923, 107740, 21909, 103705, 198, 9458, 60868, 112164, 11972, 50667, 16144, 102332, 22324, 119208, 198, 9458, 60868, 112164, 11972, 15682, 43240, 30358, 33208, 103792, 32149, 10110, 109242, 9039, 16144, 119208, 111848, 66953, 48552, 122060, 33014, 44416, 29295, 64531, 103836, 32149, 23954, 9458, 64810, 123283, 37823, 103906, 103359, 105226, 15682, 67645, 16144, 101200, 101983, 103836, 32149, 198, 9458, 5002, 47, 10110, 118482, 120321, 106307, 82420, 55723, 7705, 30512, 64531, 104874, 103792, 32149, 198, 90620, 15024, 5486, 107059, 65299, 45923, 125175, 107420, 119732, 99959, 15682, 85701, 120577, 108134, 30512, 863, 64810, 123283, 37823, 103906, 863, 30512, 16555, 122, 20230, 121298, 21105, 103, 118544, 110241, 33121, 107515, 29295, 9522, 11144, 108134, 64810, 123283, 37823, 103906, 20230, 108167, 103214, 104004, 111942, 103057, 29245, 245, 61826, 5486, 29172, 120988, 61826, 113115, 54926, 103359, 105226, 58426, 19, 21909, 112479, 103057, 29245, 245, 61826, 5486, 29172, 120988, 61826, 10110, 23897, 104989, 5486, 103057, 29245, 245, 61826, 117408, 7705, 111363, 103359, 105226, 15682, 18655, 73686, 111671, 123628, 116696, 48552, 103378, 77181, 16937, 114392, 38641, 1811, 18655, 73686, 30512, 106307, 76622, 100934, 19732, 82973, 16144, 106613, 103188, 19732, 107173, 20230, 103057, 29245, 245, 105226, 37026, 33014, 20230, 104721, 33208, 29295, 21990, 100204, 100934, 125396, 115991, 33541, 1811, 110423, 103984, 9458, 123113, 102677, 71689, 5486, 23187, 23538, 9554, 5486, 109249, 55228, 95, 24775, 107173, 8107, 16, 18904, 113314, 15682, 120007, 16144, 127749, 30512, 102178, 111665, 54926, 105908, 27384, 102769, 38641, 1811, 66378, 20230, 107059, 65299, 45923, 125175, 30512, 104908, 110731, 107803, 5486, 53283, 110104, 122756, 5486, 117475, 15682, 50834, 43514, 127842, 114397, 110731, 16144, 119627, 5486, 108152, 38248, 114, 11972, 110366, 29295, 116499, 47000, 126660, 115789, 101182, 105879, 5486, 23187, 23538, 112535, 127749, 30512, 102178, 111665, 54926, 109335, 107693, 38641, 9174, 105021, 103057, 29245, 245, 61826, 113115, 54926, 18655, 73686, 111671, 123470, 116696, 48552, 111831, 27452, 103705, 198, 9458, 13177, 104873, 112984, 95544, 117503, 118664, 30512, 32018, 109315, 198, 9458, 106613, 112167, 114050, 71289, 116388, 34048, 114050, 19732, 23187, 23538, 112535, 28190, 38093, 15024, 5486, 127749, 30512, 102178, 111665, 54926, 198, 9458, 80195, 17701, 104873, 112984, 117824, 30297, 198, 9458, 964, 97518, 89046, 127303, 104984, 5486, 123141, 16144, 103768, 11883, 127749, 16144, 120270, 30512, 32018, 109315, 198, 9458, 5002, 47, 16144, 103350, 102923, 127749, 5486, 111800, 110322, 19967, 101275, 16144, 127749, 16144, 120270, 30512, 32018, 109315, 198, 11144, 108134, 64810, 123283, 37823, 103906, 20230, 108167, 103214, 104004, 111942, 103057, 29245, 245, 61826, 5486, 29172, 120988, 61826, 113115, 54926, 103359, 105226, 58426, 20, 21909, 112479, 679, 23, 8107, 24, 9953, 21, 9080, 35424, 25580, 18, 39177, 103188, 105557, 20230, 49409, 119194, 124533, 107084, 101778, 34048, 30590, 110441, 29295, 102404, 21990, 121256, 113637, 30590, 110441, 15682, 44, 21, 13, 22, 5486, 110441, 39084, 16144, 102987, 30813, 1806, 42, 76, 5486, 112366, 110441, 27479, 22, 102677, 27384, 112495, 30590, 110441, 16556, 56051, 113637, 30590, 110441, 114556, 89046, 39926, 109242, 9039, 16144, 114435, 55031, 88852, 120950, 87177, 30512, 104655, 50834, 79721, 59459, 30591, 47884, 17129, 72661, 104655, 102334, 87177, 26854, 105879, 5486, 30926, 103350, 19732, 105268, 104055, 108901, 109020, 125396, 107407, 106592, 48154, 35287, 105005, 72315, 23954, 77693, 120577, 108695, 15682, 64810, 123283, 37823, 103906, 103359, 105226, 5486, 61337, 123727, 103768, 11883, 33014, 44416, 30512, 78698, 101557, 106, 15024, 5486, 103927, 127674, 94550, 125175, 30512, 107740, 109768, 79721, 109807, 60868, 112164, 11972, 15682, 49409, 119194, 20230, 102332, 22324, 116216, 108086, 116898, 101860, 33121, 16144, 108695, 105352, 55999, 33035, 107113, 104468, 90962, 57326, 104272, 103195, 66953, 48552, 122060, 125175, 30512, 120273, 103664, 109768, 100604, 118733, 56051, 1811, 30590, 110441, 102404, 21990, 74482, 5486, 103927, 127674, 94550, 125175, 30512, 104908, 103792, 108695, 55031, 89046, 117139, 115991, 79721, 9174, 13177, 2166, 82973, 23897, 32943, 20230, 95475, 101721, 29295, 102404, 21990, 54926, 125396, 107407, 1811, 95475, 101721, 29295, 102404, 21990, 112990, 125175, 30512, 104908, 103082, 103470, 109020, 111329, 89046, 117139, 114475, 107674, 108695, 15682, 39880, 47307, 52591, 47307, 56051, 102131, 119627, 120953, 39926, 104712, 124233, 55031, 101860, 121906, 108895, 103792, 32943, 20230, 82973, 103378, 29295, 103188, 105557, 100481, 50834, 79721, 1811, 113702, 112535, 95475, 101721, 15682, 18904, 111098, 84389, 5486, 117375, 15682, 104435, 102131 ]
[ 119627, 5486, 107803, 57980, 76947, 15682, 121101, 29295, 122434, 56051, 125396, 115991, 33541, 1811, 17129, 5486, 66953, 48552, 122060, 120273, 103664, 30512, 109768, 100604, 24273, 105352, 109606, 15682, 57903, 33541, 29295, 1131, 128001, 128000, 54846, 105352, 91875, 55723, 80172, 83932, 127145, 105879, 5486, 109933, 100560, 235, 33710, 125104, 109768, 90620, 50834, 5486, 64121, 26854, 98369, 19732, 126419, 20230, 78698, 105085, 103082, 127567, 114318, 38144, 108031, 33121, 102800, 38641, 9174, 15147, 198, 567, 6704, 101223, 81219, 30591, 29295, 107928, 80195, 120938, 55031, 91774, 28713, 102944, 198, 30537, 23, 87177, 105721, 35287, 39177, 28542, 16556, 5486, 107928, 22656, 46729, 120332, 29295, 103223, 25197, 26269, 102514, 17905, 16556, 5486, 102208, 87177, 220, 48154, 110792, 120098, 109853, 122765, 101732, 105879, 5486, 109095, 108710, 29295, 38144, 33503, 78698, 105085, 39926, 115226, 106046, 61689, 1811, 120065, 56051, 5486, 107928, 22656, 46729, 117758, 114099, 102669, 103397, 102083, 100472, 112391, 38641, 9174, 30537, 16, 87177, 16144, 120098, 15682, 5486, 108686, 29295, 107928, 80195, 120938, 55031, 91774, 101732, 102944, 109853, 38641, 9174, 87177, 16144, 89753, 33121, 9554, 102052, 5486, 21601, 114896, 58666, 16144, 125396, 29295, 126574, 106046, 61689, 29295, 5486, 21601, 114896, 58666, 16144, 107803, 5486, 115303, 59739, 95221, 108176, 28542, 29295, 48706, 78434, 109900, 15682, 5486, 39177, 109474, 112535, 88367, 26854, 104865, 102677, 28542, 38641, 9174, 51330, 28542, 109853, 15682, 5486, 30537, 16, 87177, 16144, 78698, 105085, 72661, 109835, 33121, 79721, 29295, 5486, 108686, 29295, 107928, 80195, 20230, 110498, 76947, 101721, 79059, 30512, 109033, 58942, 101732, 104468, 5486, 1114, 39177, 508, 17620, 16556, 56051, 9174, 80673, 5486, 22957, 107404, 29295, 108695, 30512, 20834, 28713, 5486, 1114, 39177, 20, 17620, 102052, 5486, 21601, 114896, 58666, 15682, 112185, 108695, 20230, 61689, 9174, 51330, 39177, 15682, 5486, 108695, 19732, 108686, 104055, 15024, 104509, 16144, 124349, 29295, 78183, 124403, 105879, 5486, 21601, 114896, 58666, 16144, 97518, 58318, 15682, 15682, 121381, 31431, 21105, 103, 16995, 102677, 102971, 105242, 16556, 56051, 1811, 30537, 23, 87177, 105721, 35287, 39177, 28542, 72661, 106116, 115195, 15682, 15682, 121381, 31431, 109768, 107515, 29295, 5486, 82973, 112535, 88367, 127303, 104984, 5486, 21601, 114896, 58666, 16556, 105184, 23187, 36785, 106046, 61689, 9174, 124572, 20230, 115847, 29295, 115132, 37823, 119732, 9554, 31634, 72238, 103306, 116166, 54926, 105879, 30591, 104984, 5486, 113727, 110071, 104468, 112160, 40089, 102677, 100909, 115717, 102131, 38641, 9174, 51330, 113679, 29295, 108686, 30512, 124364, 76947, 80699, 30926, 30512, 104394, 102334, 102677, 108323, 115991, 33541, 29295, 108948, 27929, 124749, 5486, 108686, 29295, 102802, 121710, 31431, 39926, 5486, 104284, 124475, 107928, 80195, 55031, 120175, 28713, 105272, 106046, 61689, 1811, 124572, 20230, 21601, 114896, 58666, 36785, 114267, 33503, 5486, 114516, 15682, 124364, 78183, 100604, 19732, 78244, 107462, 79721, 105879, 121906, 95604, 28542, 55031, 32977, 5486, 108686, 30512, 124364, 100472, 31431, 15682, 103801, 72342, 25827, 1811, 43514, 26854, 64121, 20230, 5486, 78683, 16073, 78683, 29220, 124629, 123307, 50834, 107079, 30512, 125764, 101732, 105879, 5486, 108686, 32977, 107246, 104473, 111188, 102677, 109335, 124897, 9174, 567, 116564, 101634, 104149, 108171, 16144, 115514, 33014, 16144, 27929, 81219, 20230, 198, 30537, 17, 87177, 16144, 120098, 15682, 115515, 101634, 104149, 108171, 16144, 115514, 33014, 16144, 27929, 81219, 20230, 105693, 102944, 109853, 38641, 9174, 91774, 28713, 112391, 77181, 5486, 71493, 66953, 16073, 19732, 101427, 246, 67016, 124897, 118844, 114556, 39926, 15682, 5486, 101307, 104698, 30046, 29295, 37087, 102351, 107246, 104473, 111188, 36785, 102677, 100909, 55031, 5486, 101427, 246, 16144, 118733, 56965, 121953, 100604, 123253, 1811, 22957, 107404, 19732, 112361, 104466, 5486, 9080, 101427, 246, 30512, 110794, 105564, 119188, 105908, 5486, 107246, 104473, 111188, 36785, 102677, 117656, 101911, 101983, 106358, 102677, 100909, 38641, 9174, 40265, 85707, 15682, 5486, 22957, 107404, 19732, 56965, 108010, 107290, 101462, 247, 125167, 16144, 111769, 32149, 19732, 78698, 105085, 121256, 29295, 5486, 30813, 17663, 29295, 20230, 5486, 33144, 114457, 16144, 38574, 106090, 16556, 5486, 107246, 104473, 111188, 36785, 33503, 76622, 102677, 110229, 17129, 77181, 119870, 64121, 104526, 62004, 105823, 104127, 56051, 9174, 567, 18049, 230, 57980, 10, 17129, 59739, 31431, 10, 103460, 111887, 16144, 47307, 47260, 80805, 198, 30537, 18, 87177, 16144, 120098, 15682, 5486, 101083, 104680, 123575, 5486, 17129, 59739, 31431, 5486, 103460, 111887, 30512, 39209, 107800, 5486, 47307, 47260, 123307, 50834, 80805, 117675, 11972, 109853, 38641, 9174, 85701, 114556, 39926, 15682, 5486, 30537, 23, 87177, 16556, 5486, 101083, 104680, 123575, 19732, 17129, 59739, 31431, 29295, 5486, 103460, 111887, 20230, 5486, 107246, 104473, 111188, 118816, 66953, 44971, 28713, 112661, 56965, 102677, 118733, 5486, 18904, 110226, 84389, 79721, 9174, 91774, 104196, 39926, 64121, 79721, 29295, 108048, 71689, 16144, 31634, 72238, 15682, 57903, 105823, 104127, 56051, 1811, 90620, 5486, 91774, 104196, 39926, 64121, 111243, 108149, 16144, 38574, 106090, 16556, 106116, 120266, 95221, 109669, 47884, 109335, 16937, 88367, 103351, 104466, 91763, 61689, 1811, 113702, 112535, 102131, 103351, 102677, 121142, 5486, 117656, 101911, 107118, 78244, 119841, 112391, 16144, 102944, 38641, 1811, 110241, 5486, 110382, 29295, 117656, 101911, 101983, 106358, 102677, 120266, 5486, 95221, 109669, 102334, 114754, 16995, 79721, 33503, 5486, 90178, 16995, 90620, 105784, 78699, 33121, 102800, 38641, 9174, 567, 94983, 114896, 58666, 16144, 13177, 99959, 39850, 103351, 91006, 198, 30537, 19, 87177, 16144, 120098, 15682, 5486, 21601, 114896, 58666, 29295, 5486, 22957, 107404, 20230, 62903, 22398, 126198, 123090, 16995, 100472, 112690, 36896, 99959, 39850, 103351, 91006, 109853, 38641, 9174, 85701, 109853, 15682, 5486, 21601, 114896, 58666, 16144, 112690, 20230, 115552, 107407, 16144, 126194, 5486, 104473, 16144, 103868, 29295, 54926, 32149, 114140, 54926, 103846, 103351, 102677, 106592, 78244, 103836, 105272, 106046, 61689, 118844, 32977, 5486, 30537, 23, 87177, 16556, 18904, 110226, 84389, 79721, 1811, 62903, 22398, 57207, 107060, 20230, 95221, 30512, 18655, 102204, 5486, 22957, 107404, 29295, 74245, 112772, 104473, 30512, 115320, 126559, 100909, 104088, 102936, 103306, 114732, 114318, 38144, 108031, 17129, 47884, 115541, 109115, 117656, 101911, 16556, 56051, 9174, 567, 220, 19, 9953, 1032, 117816, 39880, 37823, 119732, 119703, 17792, 198, 30537, 20, 87177, 16144, 120098, 15682, 5486, 19, 9953, 1032, 9080, 5486, 59739, 109709, 115515, 101634, 104149, 108171, 108055, 104698, 126101, 39880, 37823, 119732, 119703, 116537, 36785, 33121, 32149, 102677, 100909, 109853, 38641, 9174, 51330, 18904, 15682, 110745, 76208, 104703, 16144, 39880, 37823, 119732, 30512, 116166, 124545, 113009, 5486, 112237, 104500, 105459, 29295, 28194, 106, 119895, 54926, 18904, 16556, 56051, 9174, 113702, 110745, 76208, 104703, 16144, 39880, 37823, 119732, 15682, 116166, 121256, 29295, 5486, 127177, 107391, 32131, 16144, 39880, 37823, 119732, 114556, 39926, 15682, 5486, 101182, 124563, 21105, 234, 31958, 105184, 33208, 103646, 113334, 77181, 124897, 9174, 33334, 27929, 124749, 5486, 110382, 16556, 78244, 102334, 16995, 104468, 5486, 102185, 80699, 112345, 16144, 117039, 30512, 5486, 21601, 114896, 58666, 126194, 5486, 103605, 58911, 29295, 125152, 112586, 16995, 106358, 102677, 106592, 78244, 102334, 16995, 105272, 106046, 61689, 9174, 80673, 123213, 37507, 5486, 21601, 114896, 58666, 29295, 125152, 112586, 23039, 47884, 116497, 103351, 102944, 29295, 5486, 105047, 30250, 121, 5486, 103605, 58911, 20230, 104721, 100472, 102677, 113334, 77181, 124897, 119520, 5486, 110924, 30512, 31958, 105184, 116446, 114732, 19732, 5486, 64121, 103171, 29295, 21601, 114896, 58666, 30512, 107297, 102800, 106046, 76947, 114732, 105879, 5486, 116900, 20230, 5486, 30297, 17129, 47884, 109416, 32149, 56051, 117656, 101911, 107173, 78244, 58942, 33541, 1811, 59739, 109709, 5486, 21601, 114896, 58666, 29295, 5486, 19, 9953, 1032, 117816, 5486, 102185, 80699, 112345, 16144, 102321, 75267, 20230, 16995, 104435, 102677, 30926, 103350, 29295, 107693, 103351, 102677, 115552, 36785, 106046, 61689, 9174, 567, 115813, 109482, 16556, 105677, 107063, 102, 54926, 101083, 104680, 123575, 16144, 37795, 96, 20230, 198, 30537, 21, 87177, 16144, 120098, 15682, 5486, 101083, 104680, 123575, 19732, 112237, 104500, 29295, 5486, 102832, 109482, 16556, 105677, 107063, 102, 103792, 57207, 107060, 109853, 38641, 9174, 51330, 126101, 5486, 101083, 104680, 123575, 16144, 37795, 96, 20230, 22324, 102532, 105693, 112973, 5486, 53610, 127946, 38641, 1811, 107246, 104473, 111188, 26854, 105879, 5486, 53610, 127946, 20230, 104473, 30512, 17701, 106824, 110794, 105564, 119188, 102677, 115552, 38641, 1811, 30537, 19, 87177, 16144, 120098, 19732, 115251, 116974, 54926, 105494, 115991, 33541, 29295, 5486, 107246, 104473, 111188, 109088, 11883, 104067, 111090, 57933, 91062, 102677, 15017, 231, 58942, 24273, 29295, 103082, 100481, 104984, 5486, 101083, 104680, 123575, 30512, 107246, 104473, 111188, 19732, 107750, 30297, 105908, 103082, 28713, 32149, 110241, 33121, 107515, 9174, 90620, 5486, 53610, 127946, 19732, 104473, 102677, 105494, 20230, 22957, 36785, 78183, 30369, 105879, 30591, 104984, 5486, 101083, 104680, 123575, 16144, 114834, 20230, 105693, 110745, 33857, 16144, 107079, 19732, 47307, 90962, 33710, 109853, 32977, 5486, 21105, 96, 107277, 18904, 110226, 39926, 102717, 102800, 110229, 38641, 9174, 567, 220, 67645, 25827, 108422, 22957, 16556, 106266, 45736, 54926, 108686, 81219, 30591, 198, 30537, 22, 87177, 16144, 120098, 15682, 5486, 108686, 29295, 67645, 25827, 108422, 22957, 16556, 5486, 109373, 17792, 104088, 28713, 114516, 112987, 100604, 104865, 19732, 5486, 106266, 45736, 54926, 57207, 107060, 109853, 38641, 9174, 85701, 109853, 15682, 5486, 15017, 231, 58942, 24273, 125001, 47884, 59739, 32149, 57903, 33541, 9174, 126843, 5486, 108686, 16144, 89151, 37689, 102677, 114181, 28542, 38641, 1811, 108686, 15682, 5486, 115303, 31431, 115303, 31431, 13372, 64467, 15024, 109768, 119064, 119627, 5486, 21601, 114896, 58666, 16144, 39177, 103378, 5486, 40526, 104873, 29295, 104195, 115737, 103836, 104466, 112391, 33541, 9174, 13177, 21601, 114896, 58666, 108948, 25580, 36785, 85791, 66383, 95604, 117656, 101911, 107173, 18655, 33121, 33541, 29295, 5486, 50034, 115590, 26854, 110229, 38641, 9174, 116900, 20230, 5486, 13372, 64467, 21105, 243, 103468, 110366, 16144, 112741, 102677, 114181, 28542, 32977, 95221, 115717, 33541, 1811, 109373, 17792, 103351, 21601, 114896, 58666, 16144, 112741, 108048, 30512, 30832, 107666, 107113, 101083, 104680, 123575, 16144, 112741, 9174, 17129, 30591, 115847, 32977, 110371, 38574, 106090, 16556, 105085, 54926, 102677, 104468, 124563, 107188, 32149, 111108, 102800, 38641, 9174, 30591, 107118, 5486, 48154, 114166, 118273, 30512, 91482, 78683, 64178, 46034, 29172, 102639, 109156, 106824, 69978, 121118, 108686, 102677, 112973, 5486, 117656, 101911, 31634, 72238, 103351, 104865, 110241, 33121, 107515, 9174, 77693, 109853, 15682, 5486, 44971, 76171, 47260, 84477, 30512, 5486, 112361, 104466, 91482, 78683, 64178, 46034, 29172, 102639, 109156, 106824, 22324, 16995, 100481, 100472, 100909, 19732, 103721, 233, 29295, 30369, 102677, 28542, 16556, 5486, 78698, 105085, 72661, 108167, 109415, 79721, 9174, 107928, 22656, 46729, 29295, 5486, 67645, 16144, 105494, 30512, 120098, 103306, 15017, 231, 58942, 101732, 104865, 5486, 122225, 29295, 111108, 102800, 110229, 38641, 9174, 567, 114883, 111887, 16144, 58721, 123011, 62004, 198, 30537, 23, 87177, 16144, 120098, 15682, 5486, 103460, 111887, 29295, 78698, 105085, 11883, 20230, 123011, 109013, 5486, 58721, 16144, 116718, 111629, 109853, 38641, 9174, 85701, 113468, 5486, 58721, 16144, 37087, 126325, 29295, 31958, 33503, 32149, 115717, 79721, 1811, 90620, 5486, 110904, 20230, 18904, 110226, 31634, 72238, 102677, 115552, 103378, 26854, 104865, 110371, 126867, 5486, 112185, 91774, 58942, 126386, 31634, 72238, 29295, 125062, 110731, 104865, 5486, 67645, 112384, 26854, 105879, 109954, 9174, 26854, 104127, 5486, 102321, 75267, 16144, 117039, 110162, 114792, 103836, 104865, 102677, 28542, 15682, 103283, 103306, 5486, 30832, 17039, 102800, 31634, 72238, 15682, 91774, 40265, 28713, 110104, 112391, 29295, 78434, 1811, 104473, 107654, 47307, 52884, 123167, 16144, 109198, 17701, 124766, 20230, 5486, 103283, 16144, 116690, 112919, 120613, 119703, 32149, 91774, 79721, 29295, 5486, 57903, 105823, 104127, 56051, 9174, 101307, 104698, 112919, 21990, 8107, 9953, 9080, 71289, 8107, 106036, 95, 5486, 109373, 23039, 9080, 39177, 109853, 32977, 115847, 102083, 100472, 108010, 34208, 99750, 15682, 57903, 105823, 104127, 56051, 9174, 104195, 102532, 122765, 104533, 126693, 5486, 101307, 104698, 30046, 107809, 20230, 5486, 104473, 107654, 25287, 29295, 46, 25287, 16144, 114516, 29295, 48706, 21105, 103, 16995, 102677, 28542, 38641, 1811, 22957, 107404, 19732, 15120, 40089, 30512, 17701, 103468, 103306, 32977, 5486, 32, 25287, 18, 17792, 5486, 33, 25287, 17, 17792, 5486, 1905, 25287, 18, 17792, 16556, 5486, 46, 25287, 15682, 16, 17792, 32977, 16995, 107515, 1811, 102433, 107707, 18, 111017, 15682, 46, 25287, 118816, 117952, 115032, 105879, 110371, 115598, 31431, 15682, 5486, 120065, 95221, 115717, 33541, 9174, 90620, 115847, 29295, 104405, 116690, 39926, 109749, 104865, 19732, 117952, 104028, 19732, 115847, 102083, 100472, 31634, 72238, 15682, 91763, 59739, 126660, 105879, 108948, 27929, 124749, 5486, 14276, 252, 107063, 224, 20230, 105721, 78183, 104533, 91763, 61689, 9174, 80673, 5486, 124042, 18904, 74245, 123628, 5486, 30537, 23, 87177, 16144, 120098, 30512, 5486, 22957, 100909, 122765, 100934, 105879, 117119, 123772, 33503, 5486, 125062, 115032, 31634, 72238, 107407, 104466, 91763, 30297, 16144, 119627, 104405, 123253, 1811, 127091, 95221, 109669, 102334, 114754, 16995, 79721, 33503, 5486, 117896, 32977, 5486, 90178, 16995, 90620, 105784, 78699, 33121, 102800, 38641, 9174, 71689, 36896, 115173, 68759, 11144, 16476, 11199, 115612, 78698, 105085, 116196, 248, 22656, 46729, 117758, 114099, 102669, 103397, 100516, 102208, 87177, 20230, 105714, 109115, 117656, 101911, 100516, 66115, 118821, 120098, 10646, 109853, 5486, 78698, 105085, 39926, 64121, 79721, 9174, 30591, 107118, 5486, 124042, 18904, 123470, 110022, 106885, 116771, 106046, 107462, 79721, 29295, 5486, 107928, 22656, 46729, 104865, 28713, 29295, 110371, 105933, 90178, 30512, 36785, 103646, 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 ]
[ 119627, 5486, 107803, 57980, 76947, 15682, 121101, 29295, 122434, 56051, 125396, 115991, 33541, 1811, 17129, 5486, 66953, 48552, 122060, 120273, 103664, 30512, 109768, 100604, 24273, 105352, 109606, 15682, 57903, 33541, 29295, 1131, 128001, 128000, 54846, 105352, 91875, 55723, 80172, 83932, 127145, 105879, 5486, 109933, 100560, 235, 33710, 125104, 109768, 90620, 50834, 5486, 64121, 26854, 98369, 19732, 126419, 20230, 78698, 105085, 103082, 127567, 114318, 38144, 108031, 33121, 102800, 38641, 9174, 15147, 198, 567, 6704, 101223, 81219, 30591, 29295, 107928, 80195, 120938, 55031, 91774, 28713, 102944, 198, 30537, 23, 87177, 105721, 35287, 39177, 28542, 16556, 5486, 107928, 22656, 46729, 120332, 29295, 103223, 25197, 26269, 102514, 17905, 16556, 5486, 102208, 87177, 220, 48154, 110792, 120098, 109853, 122765, 101732, 105879, 5486, 109095, 108710, 29295, 38144, 33503, 78698, 105085, 39926, 115226, 106046, 61689, 1811, 120065, 56051, 5486, 107928, 22656, 46729, 117758, 114099, 102669, 103397, 102083, 100472, 112391, 38641, 9174, 30537, 16, 87177, 16144, 120098, 15682, 5486, 108686, 29295, 107928, 80195, 120938, 55031, 91774, 101732, 102944, 109853, 38641, 9174, 87177, 16144, 89753, 33121, 9554, 102052, 5486, 21601, 114896, 58666, 16144, 125396, 29295, 126574, 106046, 61689, 29295, 5486, 21601, 114896, 58666, 16144, 107803, 5486, 115303, 59739, 95221, 108176, 28542, 29295, 48706, 78434, 109900, 15682, 5486, 39177, 109474, 112535, 88367, 26854, 104865, 102677, 28542, 38641, 9174, 51330, 28542, 109853, 15682, 5486, 30537, 16, 87177, 16144, 78698, 105085, 72661, 109835, 33121, 79721, 29295, 5486, 108686, 29295, 107928, 80195, 20230, 110498, 76947, 101721, 79059, 30512, 109033, 58942, 101732, 104468, 5486, 1114, 39177, 508, 17620, 16556, 56051, 9174, 80673, 5486, 22957, 107404, 29295, 108695, 30512, 20834, 28713, 5486, 1114, 39177, 20, 17620, 102052, 5486, 21601, 114896, 58666, 15682, 112185, 108695, 20230, 61689, 9174, 51330, 39177, 15682, 5486, 108695, 19732, 108686, 104055, 15024, 104509, 16144, 124349, 29295, 78183, 124403, 105879, 5486, 21601, 114896, 58666, 16144, 97518, 58318, 15682, 15682, 121381, 31431, 21105, 103, 16995, 102677, 102971, 105242, 16556, 56051, 1811, 30537, 23, 87177, 105721, 35287, 39177, 28542, 72661, 106116, 115195, 15682, 15682, 121381, 31431, 109768, 107515, 29295, 5486, 82973, 112535, 88367, 127303, 104984, 5486, 21601, 114896, 58666, 16556, 105184, 23187, 36785, 106046, 61689, 9174, 124572, 20230, 115847, 29295, 115132, 37823, 119732, 9554, 31634, 72238, 103306, 116166, 54926, 105879, 30591, 104984, 5486, 113727, 110071, 104468, 112160, 40089, 102677, 100909, 115717, 102131, 38641, 9174, 51330, 113679, 29295, 108686, 30512, 124364, 76947, 80699, 30926, 30512, 104394, 102334, 102677, 108323, 115991, 33541, 29295, 108948, 27929, 124749, 5486, 108686, 29295, 102802, 121710, 31431, 39926, 5486, 104284, 124475, 107928, 80195, 55031, 120175, 28713, 105272, 106046, 61689, 1811, 124572, 20230, 21601, 114896, 58666, 36785, 114267, 33503, 5486, 114516, 15682, 124364, 78183, 100604, 19732, 78244, 107462, 79721, 105879, 121906, 95604, 28542, 55031, 32977, 5486, 108686, 30512, 124364, 100472, 31431, 15682, 103801, 72342, 25827, 1811, 43514, 26854, 64121, 20230, 5486, 78683, 16073, 78683, 29220, 124629, 123307, 50834, 107079, 30512, 125764, 101732, 105879, 5486, 108686, 32977, 107246, 104473, 111188, 102677, 109335, 124897, 9174, 567, 116564, 101634, 104149, 108171, 16144, 115514, 33014, 16144, 27929, 81219, 20230, 198, 30537, 17, 87177, 16144, 120098, 15682, 115515, 101634, 104149, 108171, 16144, 115514, 33014, 16144, 27929, 81219, 20230, 105693, 102944, 109853, 38641, 9174, 91774, 28713, 112391, 77181, 5486, 71493, 66953, 16073, 19732, 101427, 246, 67016, 124897, 118844, 114556, 39926, 15682, 5486, 101307, 104698, 30046, 29295, 37087, 102351, 107246, 104473, 111188, 36785, 102677, 100909, 55031, 5486, 101427, 246, 16144, 118733, 56965, 121953, 100604, 123253, 1811, 22957, 107404, 19732, 112361, 104466, 5486, 9080, 101427, 246, 30512, 110794, 105564, 119188, 105908, 5486, 107246, 104473, 111188, 36785, 102677, 117656, 101911, 101983, 106358, 102677, 100909, 38641, 9174, 40265, 85707, 15682, 5486, 22957, 107404, 19732, 56965, 108010, 107290, 101462, 247, 125167, 16144, 111769, 32149, 19732, 78698, 105085, 121256, 29295, 5486, 30813, 17663, 29295, 20230, 5486, 33144, 114457, 16144, 38574, 106090, 16556, 5486, 107246, 104473, 111188, 36785, 33503, 76622, 102677, 110229, 17129, 77181, 119870, 64121, 104526, 62004, 105823, 104127, 56051, 9174, 567, 18049, 230, 57980, 10, 17129, 59739, 31431, 10, 103460, 111887, 16144, 47307, 47260, 80805, 198, 30537, 18, 87177, 16144, 120098, 15682, 5486, 101083, 104680, 123575, 5486, 17129, 59739, 31431, 5486, 103460, 111887, 30512, 39209, 107800, 5486, 47307, 47260, 123307, 50834, 80805, 117675, 11972, 109853, 38641, 9174, 85701, 114556, 39926, 15682, 5486, 30537, 23, 87177, 16556, 5486, 101083, 104680, 123575, 19732, 17129, 59739, 31431, 29295, 5486, 103460, 111887, 20230, 5486, 107246, 104473, 111188, 118816, 66953, 44971, 28713, 112661, 56965, 102677, 118733, 5486, 18904, 110226, 84389, 79721, 9174, 91774, 104196, 39926, 64121, 79721, 29295, 108048, 71689, 16144, 31634, 72238, 15682, 57903, 105823, 104127, 56051, 1811, 90620, 5486, 91774, 104196, 39926, 64121, 111243, 108149, 16144, 38574, 106090, 16556, 106116, 120266, 95221, 109669, 47884, 109335, 16937, 88367, 103351, 104466, 91763, 61689, 1811, 113702, 112535, 102131, 103351, 102677, 121142, 5486, 117656, 101911, 107118, 78244, 119841, 112391, 16144, 102944, 38641, 1811, 110241, 5486, 110382, 29295, 117656, 101911, 101983, 106358, 102677, 120266, 5486, 95221, 109669, 102334, 114754, 16995, 79721, 33503, 5486, 90178, 16995, 90620, 105784, 78699, 33121, 102800, 38641, 9174, 567, 94983, 114896, 58666, 16144, 13177, 99959, 39850, 103351, 91006, 198, 30537, 19, 87177, 16144, 120098, 15682, 5486, 21601, 114896, 58666, 29295, 5486, 22957, 107404, 20230, 62903, 22398, 126198, 123090, 16995, 100472, 112690, 36896, 99959, 39850, 103351, 91006, 109853, 38641, 9174, 85701, 109853, 15682, 5486, 21601, 114896, 58666, 16144, 112690, 20230, 115552, 107407, 16144, 126194, 5486, 104473, 16144, 103868, 29295, 54926, 32149, 114140, 54926, 103846, 103351, 102677, 106592, 78244, 103836, 105272, 106046, 61689, 118844, 32977, 5486, 30537, 23, 87177, 16556, 18904, 110226, 84389, 79721, 1811, 62903, 22398, 57207, 107060, 20230, 95221, 30512, 18655, 102204, 5486, 22957, 107404, 29295, 74245, 112772, 104473, 30512, 115320, 126559, 100909, 104088, 102936, 103306, 114732, 114318, 38144, 108031, 17129, 47884, 115541, 109115, 117656, 101911, 16556, 56051, 9174, 567, 220, 19, 9953, 1032, 117816, 39880, 37823, 119732, 119703, 17792, 198, 30537, 20, 87177, 16144, 120098, 15682, 5486, 19, 9953, 1032, 9080, 5486, 59739, 109709, 115515, 101634, 104149, 108171, 108055, 104698, 126101, 39880, 37823, 119732, 119703, 116537, 36785, 33121, 32149, 102677, 100909, 109853, 38641, 9174, 51330, 18904, 15682, 110745, 76208, 104703, 16144, 39880, 37823, 119732, 30512, 116166, 124545, 113009, 5486, 112237, 104500, 105459, 29295, 28194, 106, 119895, 54926, 18904, 16556, 56051, 9174, 113702, 110745, 76208, 104703, 16144, 39880, 37823, 119732, 15682, 116166, 121256, 29295, 5486, 127177, 107391, 32131, 16144, 39880, 37823, 119732, 114556, 39926, 15682, 5486, 101182, 124563, 21105, 234, 31958, 105184, 33208, 103646, 113334, 77181, 124897, 9174, 33334, 27929, 124749, 5486, 110382, 16556, 78244, 102334, 16995, 104468, 5486, 102185, 80699, 112345, 16144, 117039, 30512, 5486, 21601, 114896, 58666, 126194, 5486, 103605, 58911, 29295, 125152, 112586, 16995, 106358, 102677, 106592, 78244, 102334, 16995, 105272, 106046, 61689, 9174, 80673, 123213, 37507, 5486, 21601, 114896, 58666, 29295, 125152, 112586, 23039, 47884, 116497, 103351, 102944, 29295, 5486, 105047, 30250, 121, 5486, 103605, 58911, 20230, 104721, 100472, 102677, 113334, 77181, 124897, 119520, 5486, 110924, 30512, 31958, 105184, 116446, 114732, 19732, 5486, 64121, 103171, 29295, 21601, 114896, 58666, 30512, 107297, 102800, 106046, 76947, 114732, 105879, 5486, 116900, 20230, 5486, 30297, 17129, 47884, 109416, 32149, 56051, 117656, 101911, 107173, 78244, 58942, 33541, 1811, 59739, 109709, 5486, 21601, 114896, 58666, 29295, 5486, 19, 9953, 1032, 117816, 5486, 102185, 80699, 112345, 16144, 102321, 75267, 20230, 16995, 104435, 102677, 30926, 103350, 29295, 107693, 103351, 102677, 115552, 36785, 106046, 61689, 9174, 567, 115813, 109482, 16556, 105677, 107063, 102, 54926, 101083, 104680, 123575, 16144, 37795, 96, 20230, 198, 30537, 21, 87177, 16144, 120098, 15682, 5486, 101083, 104680, 123575, 19732, 112237, 104500, 29295, 5486, 102832, 109482, 16556, 105677, 107063, 102, 103792, 57207, 107060, 109853, 38641, 9174, 51330, 126101, 5486, 101083, 104680, 123575, 16144, 37795, 96, 20230, 22324, 102532, 105693, 112973, 5486, 53610, 127946, 38641, 1811, 107246, 104473, 111188, 26854, 105879, 5486, 53610, 127946, 20230, 104473, 30512, 17701, 106824, 110794, 105564, 119188, 102677, 115552, 38641, 1811, 30537, 19, 87177, 16144, 120098, 19732, 115251, 116974, 54926, 105494, 115991, 33541, 29295, 5486, 107246, 104473, 111188, 109088, 11883, 104067, 111090, 57933, 91062, 102677, 15017, 231, 58942, 24273, 29295, 103082, 100481, 104984, 5486, 101083, 104680, 123575, 30512, 107246, 104473, 111188, 19732, 107750, 30297, 105908, 103082, 28713, 32149, 110241, 33121, 107515, 9174, 90620, 5486, 53610, 127946, 19732, 104473, 102677, 105494, 20230, 22957, 36785, 78183, 30369, 105879, 30591, 104984, 5486, 101083, 104680, 123575, 16144, 114834, 20230, 105693, 110745, 33857, 16144, 107079, 19732, 47307, 90962, 33710, 109853, 32977, 5486, 21105, 96, 107277, 18904, 110226, 39926, 102717, 102800, 110229, 38641, 9174, 567, 220, 67645, 25827, 108422, 22957, 16556, 106266, 45736, 54926, 108686, 81219, 30591, 198, 30537, 22, 87177, 16144, 120098, 15682, 5486, 108686, 29295, 67645, 25827, 108422, 22957, 16556, 5486, 109373, 17792, 104088, 28713, 114516, 112987, 100604, 104865, 19732, 5486, 106266, 45736, 54926, 57207, 107060, 109853, 38641, 9174, 85701, 109853, 15682, 5486, 15017, 231, 58942, 24273, 125001, 47884, 59739, 32149, 57903, 33541, 9174, 126843, 5486, 108686, 16144, 89151, 37689, 102677, 114181, 28542, 38641, 1811, 108686, 15682, 5486, 115303, 31431, 115303, 31431, 13372, 64467, 15024, 109768, 119064, 119627, 5486, 21601, 114896, 58666, 16144, 39177, 103378, 5486, 40526, 104873, 29295, 104195, 115737, 103836, 104466, 112391, 33541, 9174, 13177, 21601, 114896, 58666, 108948, 25580, 36785, 85791, 66383, 95604, 117656, 101911, 107173, 18655, 33121, 33541, 29295, 5486, 50034, 115590, 26854, 110229, 38641, 9174, 116900, 20230, 5486, 13372, 64467, 21105, 243, 103468, 110366, 16144, 112741, 102677, 114181, 28542, 32977, 95221, 115717, 33541, 1811, 109373, 17792, 103351, 21601, 114896, 58666, 16144, 112741, 108048, 30512, 30832, 107666, 107113, 101083, 104680, 123575, 16144, 112741, 9174, 17129, 30591, 115847, 32977, 110371, 38574, 106090, 16556, 105085, 54926, 102677, 104468, 124563, 107188, 32149, 111108, 102800, 38641, 9174, 30591, 107118, 5486, 48154, 114166, 118273, 30512, 91482, 78683, 64178, 46034, 29172, 102639, 109156, 106824, 69978, 121118, 108686, 102677, 112973, 5486, 117656, 101911, 31634, 72238, 103351, 104865, 110241, 33121, 107515, 9174, 77693, 109853, 15682, 5486, 44971, 76171, 47260, 84477, 30512, 5486, 112361, 104466, 91482, 78683, 64178, 46034, 29172, 102639, 109156, 106824, 22324, 16995, 100481, 100472, 100909, 19732, 103721, 233, 29295, 30369, 102677, 28542, 16556, 5486, 78698, 105085, 72661, 108167, 109415, 79721, 9174, 107928, 22656, 46729, 29295, 5486, 67645, 16144, 105494, 30512, 120098, 103306, 15017, 231, 58942, 101732, 104865, 5486, 122225, 29295, 111108, 102800, 110229, 38641, 9174, 567, 114883, 111887, 16144, 58721, 123011, 62004, 198, 30537, 23, 87177, 16144, 120098, 15682, 5486, 103460, 111887, 29295, 78698, 105085, 11883, 20230, 123011, 109013, 5486, 58721, 16144, 116718, 111629, 109853, 38641, 9174, 85701, 113468, 5486, 58721, 16144, 37087, 126325, 29295, 31958, 33503, 32149, 115717, 79721, 1811, 90620, 5486, 110904, 20230, 18904, 110226, 31634, 72238, 102677, 115552, 103378, 26854, 104865, 110371, 126867, 5486, 112185, 91774, 58942, 126386, 31634, 72238, 29295, 125062, 110731, 104865, 5486, 67645, 112384, 26854, 105879, 109954, 9174, 26854, 104127, 5486, 102321, 75267, 16144, 117039, 110162, 114792, 103836, 104865, 102677, 28542, 15682, 103283, 103306, 5486, 30832, 17039, 102800, 31634, 72238, 15682, 91774, 40265, 28713, 110104, 112391, 29295, 78434, 1811, 104473, 107654, 47307, 52884, 123167, 16144, 109198, 17701, 124766, 20230, 5486, 103283, 16144, 116690, 112919, 120613, 119703, 32149, 91774, 79721, 29295, 5486, 57903, 105823, 104127, 56051, 9174, 101307, 104698, 112919, 21990, 8107, 9953, 9080, 71289, 8107, 106036, 95, 5486, 109373, 23039, 9080, 39177, 109853, 32977, 115847, 102083, 100472, 108010, 34208, 99750, 15682, 57903, 105823, 104127, 56051, 9174, 104195, 102532, 122765, 104533, 126693, 5486, 101307, 104698, 30046, 107809, 20230, 5486, 104473, 107654, 25287, 29295, 46, 25287, 16144, 114516, 29295, 48706, 21105, 103, 16995, 102677, 28542, 38641, 1811, 22957, 107404, 19732, 15120, 40089, 30512, 17701, 103468, 103306, 32977, 5486, 32, 25287, 18, 17792, 5486, 33, 25287, 17, 17792, 5486, 1905, 25287, 18, 17792, 16556, 5486, 46, 25287, 15682, 16, 17792, 32977, 16995, 107515, 1811, 102433, 107707, 18, 111017, 15682, 46, 25287, 118816, 117952, 115032, 105879, 110371, 115598, 31431, 15682, 5486, 120065, 95221, 115717, 33541, 9174, 90620, 115847, 29295, 104405, 116690, 39926, 109749, 104865, 19732, 117952, 104028, 19732, 115847, 102083, 100472, 31634, 72238, 15682, 91763, 59739, 126660, 105879, 108948, 27929, 124749, 5486, 14276, 252, 107063, 224, 20230, 105721, 78183, 104533, 91763, 61689, 9174, 80673, 5486, 124042, 18904, 74245, 123628, 5486, 30537, 23, 87177, 16144, 120098, 30512, 5486, 22957, 100909, 122765, 100934, 105879, 117119, 123772, 33503, 5486, 125062, 115032, 31634, 72238, 107407, 104466, 91763, 30297, 16144, 119627, 104405, 123253, 1811, 127091, 95221, 109669, 102334, 114754, 16995, 79721, 33503, 5486, 117896, 32977, 5486, 90178, 16995, 90620, 105784, 78699, 33121, 102800, 38641, 9174, 71689, 36896, 115173, 68759, 11144, 16476, 11199, 115612, 78698, 105085, 116196, 248, 22656, 46729, 117758, 114099, 102669, 103397, 100516, 102208, 87177, 20230, 105714, 109115, 117656, 101911, 100516, 66115, 118821, 120098, 10646, 109853, 5486, 78698, 105085, 39926, 64121, 79721, 9174, 30591, 107118, 5486, 124042, 18904, 123470, 110022, 106885, 116771, 106046, 107462, 79721, 29295, 5486, 107928, 22656, 46729, 104865, 28713, 29295, 110371, 105933, 90178, 30512, 36785, 103646, 105879, 5486 ]
[ 105047, 30250, 121, 5486, 78698, 105085, 39926, 64121, 79721, 1811, 64121, 26854, 98369, 32977, 5486, 23226, 107436, 91774, 104196, 39926, 64121, 38144, 15682, 104405, 123253, 1811, 17039, 28713, 26854, 95221, 109669, 50834, 29295, 50928, 110071, 32149, 110241, 33121, 107515, 1811, 128001, 128000, 2, 117082, 38248, 104, 11972, 22656, 75267, 33710, 64178, 16144, 108729, 30512, 50338, 108323, 106609, 12, 117082, 38248, 104, 115247, 22656, 75267, 15682, 116414, 112130, 198, 12, 117082, 38248, 104, 115247, 33710, 64178, 15682, 67645, 16144, 101200, 117084, 61689, 32149, 198, 12, 117082, 38248, 104, 115247, 22656, 75267, 16556, 109739, 104369, 102052, 104405, 126693, 104712, 112130, 198, 12, 117082, 38248, 104, 115247, 33710, 64178, 30512, 112854, 105262, 102052, 67645, 120950, 41007, 115991, 33541, 32149, 198, 12, 117082, 38248, 104, 115247, 22656, 75267, 16556, 104284, 59739, 103846, 102052, 67645, 120950, 102669, 105838, 29295, 109215, 112130, 198, 12, 117082, 38248, 104, 115247, 33710, 64178, 15682, 29504, 113468, 108901, 26854, 31431, 33541, 32149, 198, 12, 117082, 38248, 104, 115247, 22656, 75267, 16556, 107420, 16144, 57326, 108748, 104930, 11972, 108176, 102052, 104405, 126693, 104712, 112130, 198, 12, 117082, 38248, 104, 115247, 33710, 64178, 30512, 112825, 110904, 20230, 122984, 39926, 72315, 9174, 12, 117082, 38248, 104, 115247, 22656, 75267, 113245, 112345, 20230, 110284, 54926, 102052, 104405, 126693, 104712, 112130, 198, 12, 117082, 38248, 104, 115247, 33710, 64178, 30512, 106154, 30369, 113009, 61633, 17663, 125231, 120098, 15682, 57903, 33541, 32149, 198, 12, 117082, 38248, 104, 115247, 22656, 75267, 113245, 57326, 108748, 20230, 109215, 26854, 110794, 35330, 15682, 67645, 16144, 120264, 112130, 198, 567, 117082, 38248, 104, 115247, 22656, 75267, 15682, 116414, 112130, 198, 89154, 38248, 104, 115247, 22656, 75267, 15682, 127164, 38641, 1811, 127164, 15682, 89154, 38248, 104, 115247, 72718, 39084, 116787, 5486, 102616, 16325, 16556, 32335, 32977, 89154, 38248, 104, 11972, 29295, 109466, 103171, 29504, 19732, 117952, 106824, 61689, 1811, 127164, 102052, 43240, 119064, 19361, 13372, 26854, 89154, 38248, 104, 84477, 109793, 73590, 71289, 71493, 76428, 101335, 115991, 5486, 107420, 16144, 89154, 38248, 104, 107610, 44971, 25005, 97, 11972, 32977, 43240, 47884, 101477, 102, 20834, 127145, 9174, 89154, 38248, 104, 11972, 15682, 5486, 20251, 93488, 57326, 124905, 100472, 114567, 116787, 5486, 118192, 25005, 97, 11972, 42016, 101559, 29295, 46034, 116510, 30512, 125894, 33655, 39926, 104284, 60632, 30512, 30832, 64467, 17663, 102669, 105838, 109904, 114567, 38641, 1811, 89154, 38248, 104, 115247, 33710, 64178, 15682, 57207, 108969, 33710, 119627, 5486, 102669, 105838, 71289, 127298, 102669, 29295, 107693, 26854, 31634, 72238, 121711, 33541, 9174, 89154, 38248, 104, 115247, 22656, 75267, 103195, 127164, 77181, 5486, 19361, 13372, 26854, 89154, 38248, 104, 84477, 109793, 73590, 29295, 87447, 113497, 116216, 61689, 1811, 27452, 116285, 5486, 102756, 116168, 114971, 90962, 52884, 89154, 38248, 104, 11972, 10110, 7585, 3143, 119735, 5486, 102616, 112366, 16144, 89154, 38248, 104, 84477, 109793, 73590, 103306, 53283, 124195, 61689, 118855, 5486, 112718, 102832, 102472, 22398, 71289, 39880, 20251, 93488, 103906, 48552, 57207, 103906, 123160, 113949, 102052, 5486, 43240, 119064, 71493, 76428, 101335, 115991, 5486, 89154, 38248, 104, 11972, 30512, 126407, 104004, 105908, 125545, 9174, 89154, 38248, 104, 11972, 15682, 102616, 16325, 16556, 126909, 115991, 5486, 43240, 119064, 29504, 16556, 57326, 110494, 116216, 61689, 119520, 115132, 114740, 29295, 89154, 38248, 104, 115247, 22656, 75267, 19732, 107001, 114667, 15682, 106116, 72718, 39084, 71289, 114172, 102512, 109904, 124858, 20230, 57903, 33541, 1811, 127164, 77181, 101544, 16995, 56965, 5486, 89154, 38248, 104, 11972, 29295, 103926, 116216, 105898, 103846, 5486, 89154, 38248, 104, 11972, 106581, 29295, 102831, 47000, 119188, 19732, 78244, 105262, 123253, 9174, 89154, 38248, 104, 115247, 22656, 75267, 103195, 127164, 77181, 5486, 107420, 16144, 89154, 38248, 104, 107610, 44971, 25005, 97, 11972, 32977, 43240, 47884, 76706, 109526, 235, 127145, 1811, 103031, 33503, 15682, 9039, 104680, 16144, 112345, 16556, 104622, 104284, 15024, 106116, 112113, 71289, 102669, 105838, 15682, 102616, 126867, 108285, 17129, 76947, 61689, 1811, 127164, 16144, 89154, 38248, 104, 11972, 106581, 15682, 5486, 118192, 25005, 97, 115247, 56965, 113245, 113841, 71289, 108134, 55999, 19361, 32977, 109466, 104127, 57903, 5486, 89154, 38248, 104, 115247, 22398, 62903, 33710, 30512, 45736, 109315, 124122, 117501, 29295, 64531, 76947, 61689, 9174, 89154, 38248, 104, 11972, 15682, 5486, 102669, 105838, 109904, 125456, 71289, 98499, 64209, 103991, 29295, 32018, 62004, 110071, 114567, 38641, 1811, 118969, 75694, 17129, 26854, 66953, 37823, 76739, 38248, 115, 78205, 16073, 71289, 33710, 64178, 29295, 48706, 15024, 5486, 118192, 25005, 97, 115247, 22398, 62903, 33710, 71289, 106613, 111186, 29295, 104284, 113529, 20230, 119448, 47884, 117375, 78434, 1811, 89154, 38248, 104, 11972, 30512, 126407, 104004, 103846, 102052, 5486, 33710, 64178, 71289, 108729, 109904, 102669, 105838, 30512, 48864, 104369, 121142, 103470, 5486, 118192, 25005, 97, 11972, 42016, 101559, 16144, 127298, 102669, 105352, 61633, 30512, 124237, 30297, 109215, 115991, 33541, 9174, 89154, 38248, 104, 11972, 15682, 115132, 114740, 30512, 15682, 100204, 62004, 117408, 102616, 16325, 16556, 103926, 110731, 114567, 38641, 109807, 101523, 227, 48634, 15682, 5486, 104284, 109972, 16144, 126238, 105714, 99750, 71289, 102669, 105838, 109904, 31634, 72238, 20230, 57903, 33541, 1811, 89154, 38248, 104, 115247, 22656, 75267, 103195, 127164, 77181, 5486, 43240, 119064, 118192, 25005, 97, 11972, 29295, 43167, 109709, 5486, 107969, 16995, 102669, 16995, 29295, 103721, 108, 31431, 108285, 102639, 124195, 61689, 1811, 89154, 38248, 104, 115247, 101523, 227, 123457, 33014, 111186, 54926, 103846, 102052, 5486, 112371, 104328, 127164, 16144, 89154, 38248, 104, 38248, 115, 107060, 30512, 120824, 106824, 64121, 38144, 72315, 9174, 14711, 117082, 38248, 104, 115247, 33710, 64178, 15682, 67645, 16144, 101200, 117084, 61689, 32149, 198, 89154, 38248, 104, 115247, 33710, 64178, 15682, 5486, 88852, 16144, 101200, 117084, 61689, 9174, 126843, 5486, 89154, 38248, 104, 11972, 15682, 20251, 93488, 57326, 124905, 100472, 114567, 116787, 5486, 117032, 15682, 17, 17792, 71689, 16556, 57326, 108748, 84389, 33541, 1811, 113173, 15682, 5486, 46034, 110794, 16144, 123218, 124905, 76947, 32335, 32977, 104195, 16995, 107734, 126694, 31431, 5486, 127177, 57326, 108748, 104930, 38248, 230, 31431, 32977, 43240, 119064, 78459, 103830, 71289, 33334, 35330, 30512, 122635, 54926, 100909, 38641, 9174, 89154, 38248, 104, 115247, 33710, 64178, 102052, 16995, 47884, 59739, 116421, 66953, 37823, 76739, 38248, 115, 78205, 16073, 115991, 33541, 29295, 5486, 32335, 32977, 108936, 109904, 57933, 62903, 60868, 22398, 103927, 64178, 68408, 91062, 89154, 38248, 104, 11972, 20230, 118220, 28542, 30512, 40265, 38144, 38144, 122984, 78434, 9174, 57933, 62903, 60868, 22398, 103927, 64178, 68408, 91062, 89154, 38248, 104, 11972, 77181, 5486, 102208, 57326, 108748, 104930, 11972, 20230, 17, 109577, 16144, 57326, 102803, 102832, 84477, 123218, 29295, 55487, 102204, 33541, 118844, 120577, 123218, 15682, 127177, 57326, 108748, 104930, 11972, 102052, 91774, 58942, 107515, 109807, 74482, 5486, 103857, 108994, 11972, 55031, 20, 109577, 16144, 47260, 119263, 78683, 103906, 123218, 29295, 110480, 87217, 20230, 121298, 84389, 33541, 9174, 57326, 108748, 104930, 11972, 15682, 5486, 57326, 102803, 102832, 84477, 123218, 19732, 47260, 119263, 78683, 103906, 123218, 30512, 103214, 64121, 114146, 38144, 32335, 32977, 104195, 16995, 107734, 126694, 31431, 33541, 1811, 107734, 16144, 104195, 30813, 15682, 5486, 42634, 117733, 122981, 32131, 116219, 5486, 71634, 44971, 84477, 52591, 32131, 116219, 5486, 108526, 38248, 104, 65575, 5486, 52591, 33710, 102040, 115474, 123160, 103214, 64121, 114146, 20230, 75146, 109669, 102532, 104662, 109709, 33541, 9174, 114567, 15682, 5486, 109242, 9039, 16144, 32131, 65299, 102860, 16556, 116748, 78434, 1811, 102208, 32131, 65299, 102860, 77181, 5486, 57326, 108748, 104930, 11972, 15682, 123218, 16144, 104195, 30813, 20230, 106608, 100204, 38144, 83812, 255, 76622, 117824, 61689, 1811, 83812, 255, 76622, 16144, 109518, 15682, 5486, 57326, 108748, 104930, 11972, 29295, 69978, 103836, 78459, 103830, 71289, 33334, 35330, 113468, 44416, 48249, 84389, 33541, 9174, 124042, 112535, 5486, 114567, 15682, 102895, 117697, 115691, 19732, 127173, 104028, 111661, 106240, 20230, 103130, 64121, 33541, 113637, 111661, 106240, 77181, 5486, 112185, 114567, 20230, 110284, 103792, 57326, 108748, 104930, 11972, 29295, 115364, 46034, 116510, 30512, 121298, 15024, 5486, 107734, 16144, 104195, 30813, 30512, 125261, 78434, 1811, 32335, 32977, 104195, 16995, 107734, 114792, 103836, 57326, 108748, 104930, 11972, 29295, 104284, 30046, 121711, 5486, 83812, 255, 76622, 109115, 78459, 103830, 71289, 33334, 35330, 30512, 122635, 78434, 9174, 89154, 38248, 104, 11972, 15682, 102669, 105838, 19732, 127298, 102669, 16144, 31634, 72238, 29295, 117139, 64121, 40862, 30297, 114567, 116787, 5486, 57326, 108748, 104930, 11972, 42016, 101559, 16144, 125894, 76622, 113801, 32977, 107693, 38641, 1811, 120007, 16144, 46034, 116510, 30512, 98499, 64121, 50338, 47884, 106556, 71289, 83812, 255, 76622, 16144, 107507, 101198, 94550, 104088, 110993, 109315, 106556, 29295, 104284, 60632, 107294, 105722, 30369, 115789, 57903, 33541, 9174, 71689, 29295, 89154, 38248, 104, 115247, 33710, 64178, 16144, 108729, 109904, 122984, 38641, 1811, 118969, 75694, 17129, 26854, 66953, 37823, 76739, 38248, 115, 78205, 16073, 29295, 48706, 54926, 103846, 5486, 109834, 103868, 107407, 126513, 33710, 64178, 30512, 50520, 111, 106624, 48864, 104369, 106592, 33334, 125683, 62004, 78434, 9174, 14711, 117082, 38248, 104, 115247, 22656, 75267, 16556, 109739, 104369, 102052, 104405, 126693, 104712, 112130, 198, 11144, 72404, 9458, 112825, 110904, 11199, 57933, 62903, 60868, 22398, 103927, 64178, 68408, 91062, 89154, 38248, 104, 115247, 108729, 33710, 64178, 30512, 102616, 15120, 78183, 107277, 126172, 47884, 122984, 10110, 85707, 64209, 30046, 70141, 76622, 23954, 89154, 38248, 104, 115247, 22656, 75267, 16556, 109739, 104369, 102052, 104405, 126693, 104712, 112130, 198, 89154, 38248, 104, 115247, 22656, 75267, 16556, 109739, 104369, 103846, 102052, 5486, 88852, 16144, 106826, 103830, 30512, 119870, 104004, 105908, 107693, 38641, 9174, 126843, 5486, 89154, 38248, 104, 115247, 22656, 75267, 19732, 117952, 104028, 116245, 30512, 102647, 102802, 17129, 109954, 1811, 102616, 112535, 19361, 13372, 26854, 89154, 38248, 104, 115247, 22656, 75267, 103306, 15682, 5486, 112718, 102832, 102472, 22398, 71289, 68759, 71493, 90962, 29295, 123680, 102639, 102204, 33541, 118844, 120577, 116245, 77181, 5486, 43240, 119064, 71493, 76428, 101335, 71289, 89154, 38248, 104, 64178, 103202, 115991, 123213, 35083, 109904, 89154, 38248, 104, 38248, 110, 103202, 30512, 126407, 104004, 105908, 125545, 9174, 33671, 20230, 5486, 89154, 38248, 104, 115247, 33710, 64178, 71289, 102669, 105838, 109853, 48864, 102802, 17129, 109954, 1811, 89154, 38248, 104, 11972, 15682, 110904, 109020, 103768, 121142, 103470, 5486, 102669, 105838, 71289, 127298, 102669, 32977, 107693, 26854, 31634, 72238, 38641, 123601, 75267, 16556, 57326, 108748, 54926, 112772, 5486, 108729, 109904, 33710, 64178, 71289, 89154, 38248, 104, 115247, 46034, 107734, 30512, 113954, 15024, 5486, 102669, 105838, 30512, 108710, 50928, 54926, 105908, 27384, 102769, 38641, 9174, 122270, 123213, 75267, 16556, 57326, 108748, 54926, 103846, 102052, 114392, 26854, 103087, 35330, 29295, 109215, 38641, 1811, 89154, 38248, 104, 11972, 15682, 104603, 68581, 16073, 112193, 112028, 104091, 116787, 5486, 83812, 255, 76622, 35330, 30512, 11883, 37689, 54926, 109215, 115991, 33541, 1811, 103911, 70203, 30512, 121697, 38144, 5486, 115364, 106613, 111587, 127749, 20230, 114146, 28713, 103087, 35330, 30512, 11883, 37689, 103801, 109954, 9174, 53900, 5486, 89154, 38248, 104, 115247, 22656, 75267, 77181, 127177, 57326, 108748, 104930, 11972, 19732, 114300, 16995, 40862, 30297, 100909, 115717, 33541, 105879, 5486, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 106556, 32977, 107693, 38641, 1811, 120007, 16144, 112741, 71289, 106548, 105301, 30512, 98499, 64121, 18655, 30369, 118733, 5486, 120007, 16144, 46034, 116510, 71289, 102669, 105838, 30512, 103911, 108867, 54926, 105908, 125545, 1811, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 106556, 30512, 118368, 47884, 113009, 5486, 89154, 38248, 104, 115247, 114567, 30512, 108882, 110993, 112535, 57326, 108748, 15024, 5486, 106613, 111186, 30512, 108882, 104004, 105908, 109215, 38641, 9174, 114626, 20230, 5486, 89154, 38248, 104, 115247, 22656, 75267, 16556, 109739, 104369, 103846, 102052, 37026, 22023, 114792, 59739, 115789, 107693, 38641, 1811, 115364, 22398, 62903, 33710, 71289, 53283, 109375, 30512, 22023, 100204, 5486, 127177, 57326, 108748, 104930, 11972, 19732, 103359, 50667, 20230, 104284, 109972, 54926, 105908, 27384, 102769, 38641, 1811, 37026, 22023, 114792, 76947, 57326, 108748, 54926, 118733, 5486, 105755, 105465, 21105, 123, 106272, 89154, 38248, 104, 11972, 30512, 126407, 104004, 105908, 125545, 9174, 71689, 29295, 89154, 38248, 104, 115247, 22656, 75267, 16556, 109739, 104369, 124122, 106826, 103830, 38641, 1811, 89154, 38248, 104, 11972, 30512, 22656, 35083, 112535, 105465, 21105, 123, 106956, 24273, 15682, 115847, 120577, 120098, 30512, 121846, 116446, 64121, 38144, 72315, 1811, 105465, 102800, 89154, 38248, 104, 38248, 110, 103202, 29295, 75293, 76947, 61689, 57980, 106609, 14711, 117082, 38248, 104, 115247, 33710, 64178, 30512, 112854, 105262, 102052, 67645, 120950, 41007, 115991, 33541, 32149, 198, 89154, 38248, 104, 115247, 33710, 64178, 30512, 112854, 105262, 102052, 116898, 47884, 59739, 116421, 41007, 115991, 33541, 9174, 126843, 5486, 89154, 38248, 104, 115247, 33710, 64178, 30512, 48864, 104369, 103846, 102052, 5486, 33710, 64178, 52884, 48552, 71289, 110191, 118372, 16144, 123577, 84477, 104612, 33710, 30512, 107740, 54926, 41007, 115991, 33541, 118844, 120577, 109544, 15682, 5486, 89154, 38248, 104, 115247, 108729, 33710, 64178, 71289, 107734, 16144, 104195, 30813, 5486, 102832, 67075, 16144, 106548, 103214, 64121, 104309, 30512, 50520, 111, 106624, 122984, 127145, 9174, 53900, 5486, 89154, 38248, 104, 115247, 33710, 64178, 30512, 103350, 104983, 20230, 57326, 108748, 21105, 103, 29295, 33503, 48864, 104369, 41007, 32977 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 105047, 30250, 121, 5486, 78698, 105085, 39926, 64121, 79721, 1811, 64121, 26854, 98369, 32977, 5486, 23226, 107436, 91774, 104196, 39926, 64121, 38144, 15682, 104405, 123253, 1811, 17039, 28713, 26854, 95221, 109669, 50834, 29295, 50928, 110071, 32149, 110241, 33121, 107515, 1811, 128001, 128000, 2, 117082, 38248, 104, 11972, 22656, 75267, 33710, 64178, 16144, 108729, 30512, 50338, 108323, 106609, 12, 117082, 38248, 104, 115247, 22656, 75267, 15682, 116414, 112130, 198, 12, 117082, 38248, 104, 115247, 33710, 64178, 15682, 67645, 16144, 101200, 117084, 61689, 32149, 198, 12, 117082, 38248, 104, 115247, 22656, 75267, 16556, 109739, 104369, 102052, 104405, 126693, 104712, 112130, 198, 12, 117082, 38248, 104, 115247, 33710, 64178, 30512, 112854, 105262, 102052, 67645, 120950, 41007, 115991, 33541, 32149, 198, 12, 117082, 38248, 104, 115247, 22656, 75267, 16556, 104284, 59739, 103846, 102052, 67645, 120950, 102669, 105838, 29295, 109215, 112130, 198, 12, 117082, 38248, 104, 115247, 33710, 64178, 15682, 29504, 113468, 108901, 26854, 31431, 33541, 32149, 198, 12, 117082, 38248, 104, 115247, 22656, 75267, 16556, 107420, 16144, 57326, 108748, 104930, 11972, 108176, 102052, 104405, 126693, 104712, 112130, 198, 12, 117082, 38248, 104, 115247, 33710, 64178, 30512, 112825, 110904, 20230, 122984, 39926, 72315, 9174, 12, 117082, 38248, 104, 115247, 22656, 75267, 113245, 112345, 20230, 110284, 54926, 102052, 104405, 126693, 104712, 112130, 198, 12, 117082, 38248, 104, 115247, 33710, 64178, 30512, 106154, 30369, 113009, 61633, 17663, 125231, 120098, 15682, 57903, 33541, 32149, 198, 12, 117082, 38248, 104, 115247, 22656, 75267, 113245, 57326, 108748, 20230, 109215, 26854, 110794, 35330, 15682, 67645, 16144, 120264, 112130, 198, 567, 117082, 38248, 104, 115247, 22656, 75267, 15682, 116414, 112130, 198, 89154, 38248, 104, 115247, 22656, 75267, 15682, 127164, 38641, 1811, 127164, 15682, 89154, 38248, 104, 115247, 72718, 39084, 116787, 5486, 102616, 16325, 16556, 32335, 32977, 89154, 38248, 104, 11972, 29295, 109466, 103171, 29504, 19732, 117952, 106824, 61689, 1811, 127164, 102052, 43240, 119064, 19361, 13372, 26854, 89154, 38248, 104, 84477, 109793, 73590, 71289, 71493, 76428, 101335, 115991, 5486, 107420, 16144, 89154, 38248, 104, 107610, 44971, 25005, 97, 11972, 32977, 43240, 47884, 101477, 102, 20834, 127145, 9174, 89154, 38248, 104, 11972, 15682, 5486, 20251, 93488, 57326, 124905, 100472, 114567, 116787, 5486, 118192, 25005, 97, 11972, 42016, 101559, 29295, 46034, 116510, 30512, 125894, 33655, 39926, 104284, 60632, 30512, 30832, 64467, 17663, 102669, 105838, 109904, 114567, 38641, 1811, 89154, 38248, 104, 115247, 33710, 64178, 15682, 57207, 108969, 33710, 119627, 5486, 102669, 105838, 71289, 127298, 102669, 29295, 107693, 26854, 31634, 72238, 121711, 33541, 9174, 89154, 38248, 104, 115247, 22656, 75267, 103195, 127164, 77181, 5486, 19361, 13372, 26854, 89154, 38248, 104, 84477, 109793, 73590, 29295, 87447, 113497, 116216, 61689, 1811, 27452, 116285, 5486, 102756, 116168, 114971, 90962, 52884, 89154, 38248, 104, 11972, 10110, 7585, 3143, 119735, 5486, 102616, 112366, 16144, 89154, 38248, 104, 84477, 109793, 73590, 103306, 53283, 124195, 61689, 118855, 5486, 112718, 102832, 102472, 22398, 71289, 39880, 20251, 93488, 103906, 48552, 57207, 103906, 123160, 113949, 102052, 5486, 43240, 119064, 71493, 76428, 101335, 115991, 5486, 89154, 38248, 104, 11972, 30512, 126407, 104004, 105908, 125545, 9174, 89154, 38248, 104, 11972, 15682, 102616, 16325, 16556, 126909, 115991, 5486, 43240, 119064, 29504, 16556, 57326, 110494, 116216, 61689, 119520, 115132, 114740, 29295, 89154, 38248, 104, 115247, 22656, 75267, 19732, 107001, 114667, 15682, 106116, 72718, 39084, 71289, 114172, 102512, 109904, 124858, 20230, 57903, 33541, 1811, 127164, 77181, 101544, 16995, 56965, 5486, 89154, 38248, 104, 11972, 29295, 103926, 116216, 105898, 103846, 5486, 89154, 38248, 104, 11972, 106581, 29295, 102831, 47000, 119188, 19732, 78244, 105262, 123253, 9174, 89154, 38248, 104, 115247, 22656, 75267, 103195, 127164, 77181, 5486, 107420, 16144, 89154, 38248, 104, 107610, 44971, 25005, 97, 11972, 32977, 43240, 47884, 76706, 109526, 235, 127145, 1811, 103031, 33503, 15682, 9039, 104680, 16144, 112345, 16556, 104622, 104284, 15024, 106116, 112113, 71289, 102669, 105838, 15682, 102616, 126867, 108285, 17129, 76947, 61689, 1811, 127164, 16144, 89154, 38248, 104, 11972, 106581, 15682, 5486, 118192, 25005, 97, 115247, 56965, 113245, 113841, 71289, 108134, 55999, 19361, 32977, 109466, 104127, 57903, 5486, 89154, 38248, 104, 115247, 22398, 62903, 33710, 30512, 45736, 109315, 124122, 117501, 29295, 64531, 76947, 61689, 9174, 89154, 38248, 104, 11972, 15682, 5486, 102669, 105838, 109904, 125456, 71289, 98499, 64209, 103991, 29295, 32018, 62004, 110071, 114567, 38641, 1811, 118969, 75694, 17129, 26854, 66953, 37823, 76739, 38248, 115, 78205, 16073, 71289, 33710, 64178, 29295, 48706, 15024, 5486, 118192, 25005, 97, 115247, 22398, 62903, 33710, 71289, 106613, 111186, 29295, 104284, 113529, 20230, 119448, 47884, 117375, 78434, 1811, 89154, 38248, 104, 11972, 30512, 126407, 104004, 103846, 102052, 5486, 33710, 64178, 71289, 108729, 109904, 102669, 105838, 30512, 48864, 104369, 121142, 103470, 5486, 118192, 25005, 97, 11972, 42016, 101559, 16144, 127298, 102669, 105352, 61633, 30512, 124237, 30297, 109215, 115991, 33541, 9174, 89154, 38248, 104, 11972, 15682, 115132, 114740, 30512, 15682, 100204, 62004, 117408, 102616, 16325, 16556, 103926, 110731, 114567, 38641, 109807, 101523, 227, 48634, 15682, 5486, 104284, 109972, 16144, 126238, 105714, 99750, 71289, 102669, 105838, 109904, 31634, 72238, 20230, 57903, 33541, 1811, 89154, 38248, 104, 115247, 22656, 75267, 103195, 127164, 77181, 5486, 43240, 119064, 118192, 25005, 97, 11972, 29295, 43167, 109709, 5486, 107969, 16995, 102669, 16995, 29295, 103721, 108, 31431, 108285, 102639, 124195, 61689, 1811, 89154, 38248, 104, 115247, 101523, 227, 123457, 33014, 111186, 54926, 103846, 102052, 5486, 112371, 104328, 127164, 16144, 89154, 38248, 104, 38248, 115, 107060, 30512, 120824, 106824, 64121, 38144, 72315, 9174, 14711, 117082, 38248, 104, 115247, 33710, 64178, 15682, 67645, 16144, 101200, 117084, 61689, 32149, 198, 89154, 38248, 104, 115247, 33710, 64178, 15682, 5486, 88852, 16144, 101200, 117084, 61689, 9174, 126843, 5486, 89154, 38248, 104, 11972, 15682, 20251, 93488, 57326, 124905, 100472, 114567, 116787, 5486, 117032, 15682, 17, 17792, 71689, 16556, 57326, 108748, 84389, 33541, 1811, 113173, 15682, 5486, 46034, 110794, 16144, 123218, 124905, 76947, 32335, 32977, 104195, 16995, 107734, 126694, 31431, 5486, 127177, 57326, 108748, 104930, 38248, 230, 31431, 32977, 43240, 119064, 78459, 103830, 71289, 33334, 35330, 30512, 122635, 54926, 100909, 38641, 9174, 89154, 38248, 104, 115247, 33710, 64178, 102052, 16995, 47884, 59739, 116421, 66953, 37823, 76739, 38248, 115, 78205, 16073, 115991, 33541, 29295, 5486, 32335, 32977, 108936, 109904, 57933, 62903, 60868, 22398, 103927, 64178, 68408, 91062, 89154, 38248, 104, 11972, 20230, 118220, 28542, 30512, 40265, 38144, 38144, 122984, 78434, 9174, 57933, 62903, 60868, 22398, 103927, 64178, 68408, 91062, 89154, 38248, 104, 11972, 77181, 5486, 102208, 57326, 108748, 104930, 11972, 20230, 17, 109577, 16144, 57326, 102803, 102832, 84477, 123218, 29295, 55487, 102204, 33541, 118844, 120577, 123218, 15682, 127177, 57326, 108748, 104930, 11972, 102052, 91774, 58942, 107515, 109807, 74482, 5486, 103857, 108994, 11972, 55031, 20, 109577, 16144, 47260, 119263, 78683, 103906, 123218, 29295, 110480, 87217, 20230, 121298, 84389, 33541, 9174, 57326, 108748, 104930, 11972, 15682, 5486, 57326, 102803, 102832, 84477, 123218, 19732, 47260, 119263, 78683, 103906, 123218, 30512, 103214, 64121, 114146, 38144, 32335, 32977, 104195, 16995, 107734, 126694, 31431, 33541, 1811, 107734, 16144, 104195, 30813, 15682, 5486, 42634, 117733, 122981, 32131, 116219, 5486, 71634, 44971, 84477, 52591, 32131, 116219, 5486, 108526, 38248, 104, 65575, 5486, 52591, 33710, 102040, 115474, 123160, 103214, 64121, 114146, 20230, 75146, 109669, 102532, 104662, 109709, 33541, 9174, 114567, 15682, 5486, 109242, 9039, 16144, 32131, 65299, 102860, 16556, 116748, 78434, 1811, 102208, 32131, 65299, 102860, 77181, 5486, 57326, 108748, 104930, 11972, 15682, 123218, 16144, 104195, 30813, 20230, 106608, 100204, 38144, 83812, 255, 76622, 117824, 61689, 1811, 83812, 255, 76622, 16144, 109518, 15682, 5486, 57326, 108748, 104930, 11972, 29295, 69978, 103836, 78459, 103830, 71289, 33334, 35330, 113468, 44416, 48249, 84389, 33541, 9174, 124042, 112535, 5486, 114567, 15682, 102895, 117697, 115691, 19732, 127173, 104028, 111661, 106240, 20230, 103130, 64121, 33541, 113637, 111661, 106240, 77181, 5486, 112185, 114567, 20230, 110284, 103792, 57326, 108748, 104930, 11972, 29295, 115364, 46034, 116510, 30512, 121298, 15024, 5486, 107734, 16144, 104195, 30813, 30512, 125261, 78434, 1811, 32335, 32977, 104195, 16995, 107734, 114792, 103836, 57326, 108748, 104930, 11972, 29295, 104284, 30046, 121711, 5486, 83812, 255, 76622, 109115, 78459, 103830, 71289, 33334, 35330, 30512, 122635, 78434, 9174, 89154, 38248, 104, 11972, 15682, 102669, 105838, 19732, 127298, 102669, 16144, 31634, 72238, 29295, 117139, 64121, 40862, 30297, 114567, 116787, 5486, 57326, 108748, 104930, 11972, 42016, 101559, 16144, 125894, 76622, 113801, 32977, 107693, 38641, 1811, 120007, 16144, 46034, 116510, 30512, 98499, 64121, 50338, 47884, 106556, 71289, 83812, 255, 76622, 16144, 107507, 101198, 94550, 104088, 110993, 109315, 106556, 29295, 104284, 60632, 107294, 105722, 30369, 115789, 57903, 33541, 9174, 71689, 29295, 89154, 38248, 104, 115247, 33710, 64178, 16144, 108729, 109904, 122984, 38641, 1811, 118969, 75694, 17129, 26854, 66953, 37823, 76739, 38248, 115, 78205, 16073, 29295, 48706, 54926, 103846, 5486, 109834, 103868, 107407, 126513, 33710, 64178, 30512, 50520, 111, 106624, 48864, 104369, 106592, 33334, 125683, 62004, 78434, 9174, 14711, 117082, 38248, 104, 115247, 22656, 75267, 16556, 109739, 104369, 102052, 104405, 126693, 104712, 112130, 198, 11144, 72404, 9458, 112825, 110904, 11199, 57933, 62903, 60868, 22398, 103927, 64178, 68408, 91062, 89154, 38248, 104, 115247, 108729, 33710, 64178, 30512, 102616, 15120, 78183, 107277, 126172, 47884, 122984, 10110, 85707, 64209, 30046, 70141, 76622, 23954, 89154, 38248, 104, 115247, 22656, 75267, 16556, 109739, 104369, 102052, 104405, 126693, 104712, 112130, 198, 89154, 38248, 104, 115247, 22656, 75267, 16556, 109739, 104369, 103846, 102052, 5486, 88852, 16144, 106826, 103830, 30512, 119870, 104004, 105908, 107693, 38641, 9174, 126843, 5486, 89154, 38248, 104, 115247, 22656, 75267, 19732, 117952, 104028, 116245, 30512, 102647, 102802, 17129, 109954, 1811, 102616, 112535, 19361, 13372, 26854, 89154, 38248, 104, 115247, 22656, 75267, 103306, 15682, 5486, 112718, 102832, 102472, 22398, 71289, 68759, 71493, 90962, 29295, 123680, 102639, 102204, 33541, 118844, 120577, 116245, 77181, 5486, 43240, 119064, 71493, 76428, 101335, 71289, 89154, 38248, 104, 64178, 103202, 115991, 123213, 35083, 109904, 89154, 38248, 104, 38248, 110, 103202, 30512, 126407, 104004, 105908, 125545, 9174, 33671, 20230, 5486, 89154, 38248, 104, 115247, 33710, 64178, 71289, 102669, 105838, 109853, 48864, 102802, 17129, 109954, 1811, 89154, 38248, 104, 11972, 15682, 110904, 109020, 103768, 121142, 103470, 5486, 102669, 105838, 71289, 127298, 102669, 32977, 107693, 26854, 31634, 72238, 38641, 123601, 75267, 16556, 57326, 108748, 54926, 112772, 5486, 108729, 109904, 33710, 64178, 71289, 89154, 38248, 104, 115247, 46034, 107734, 30512, 113954, 15024, 5486, 102669, 105838, 30512, 108710, 50928, 54926, 105908, 27384, 102769, 38641, 9174, 122270, 123213, 75267, 16556, 57326, 108748, 54926, 103846, 102052, 114392, 26854, 103087, 35330, 29295, 109215, 38641, 1811, 89154, 38248, 104, 11972, 15682, 104603, 68581, 16073, 112193, 112028, 104091, 116787, 5486, 83812, 255, 76622, 35330, 30512, 11883, 37689, 54926, 109215, 115991, 33541, 1811, 103911, 70203, 30512, 121697, 38144, 5486, 115364, 106613, 111587, 127749, 20230, 114146, 28713, 103087, 35330, 30512, 11883, 37689, 103801, 109954, 9174, 53900, 5486, 89154, 38248, 104, 115247, 22656, 75267, 77181, 127177, 57326, 108748, 104930, 11972, 19732, 114300, 16995, 40862, 30297, 100909, 115717, 33541, 105879, 5486, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 106556, 32977, 107693, 38641, 1811, 120007, 16144, 112741, 71289, 106548, 105301, 30512, 98499, 64121, 18655, 30369, 118733, 5486, 120007, 16144, 46034, 116510, 71289, 102669, 105838, 30512, 103911, 108867, 54926, 105908, 125545, 1811, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 106556, 30512, 118368, 47884, 113009, 5486, 89154, 38248, 104, 115247, 114567, 30512, 108882, 110993, 112535, 57326, 108748, 15024, 5486, 106613, 111186, 30512, 108882, 104004, 105908, 109215, 38641, 9174, 114626, 20230, 5486, 89154, 38248, 104, 115247, 22656, 75267, 16556, 109739, 104369, 103846, 102052, 37026, 22023, 114792, 59739, 115789, 107693, 38641, 1811, 115364, 22398, 62903, 33710, 71289, 53283, 109375, 30512, 22023, 100204, 5486, 127177, 57326, 108748, 104930, 11972, 19732, 103359, 50667, 20230, 104284, 109972, 54926, 105908, 27384, 102769, 38641, 1811, 37026, 22023, 114792, 76947, 57326, 108748, 54926, 118733, 5486, 105755, 105465, 21105, 123, 106272, 89154, 38248, 104, 11972, 30512, 126407, 104004, 105908, 125545, 9174, 71689, 29295, 89154, 38248, 104, 115247, 22656, 75267, 16556, 109739, 104369, 124122, 106826, 103830, 38641, 1811, 89154, 38248, 104, 11972, 30512, 22656, 35083, 112535, 105465, 21105, 123, 106956, 24273, 15682, 115847, 120577, 120098, 30512, 121846, 116446, 64121, 38144, 72315, 1811, 105465, 102800, 89154, 38248, 104, 38248, 110, 103202, 29295, 75293, 76947, 61689, 57980, 106609, 14711, 117082, 38248, 104, 115247, 33710, 64178, 30512, 112854, 105262, 102052, 67645, 120950, 41007, 115991, 33541, 32149, 198, 89154, 38248, 104, 115247, 33710, 64178, 30512, 112854, 105262, 102052, 116898, 47884, 59739, 116421, 41007, 115991, 33541, 9174, 126843, 5486, 89154, 38248, 104, 115247, 33710, 64178, 30512, 48864, 104369, 103846, 102052, 5486, 33710, 64178, 52884, 48552, 71289, 110191, 118372, 16144, 123577, 84477, 104612, 33710, 30512, 107740, 54926, 41007, 115991, 33541, 118844, 120577, 109544, 15682, 5486, 89154, 38248, 104, 115247, 108729, 33710, 64178, 71289, 107734, 16144, 104195, 30813, 5486, 102832, 67075, 16144, 106548, 103214, 64121, 104309, 30512, 50520, 111, 106624, 122984, 127145, 9174, 53900, 5486, 89154, 38248, 104, 115247, 33710, 64178, 30512, 103350, 104983, 20230, 57326, 108748, 21105, 103, 29295, 33503, 48864, 104369, 41007, 32977 ]
[ 8239, 114503, 9554, 38641, 1811, 98915, 104067, 71289, 122013, 19732, 126419, 20230, 89154, 38248, 104, 38248, 110, 103202, 30512, 126407, 104004, 118733, 5486, 33710, 64178, 30512, 103350, 124299, 112535, 48864, 104369, 105908, 125545, 1811, 85707, 107436, 16144, 126513, 5486, 103167, 109518, 16144, 83812, 255, 76622, 16556, 57326, 108748, 54926, 106592, 33334, 125683, 62004, 78434, 9174, 122270, 5486, 89154, 38248, 104, 115247, 33710, 64178, 30512, 113954, 54926, 103846, 102052, 5486, 107420, 16144, 57326, 108748, 104930, 115247, 91875, 55723, 71289, 106081, 40862, 16144, 114181, 102669, 32977, 19361, 126120, 38641, 1811, 103031, 120577, 57326, 108748, 105335, 106696, 71289, 122225, 75146, 107253, 114447, 118733, 5486, 89154, 38248, 104, 115247, 102669, 105838, 71289, 33710, 64178, 109853, 16144, 113954, 30512, 102987, 109315, 105908, 125545, 9174, 89154, 38248, 104, 115247, 33710, 64178, 30512, 112854, 105262, 103846, 102052, 5486, 103721, 108, 31431, 104196, 15024, 48864, 108710, 54926, 115789, 107693, 38641, 1811, 33710, 64178, 71289, 107734, 16144, 104195, 30813, 5486, 102832, 67075, 16144, 106548, 103214, 64121, 104309, 30512, 95543, 109095, 39926, 48864, 104369, 118733, 5486, 113954, 29295, 102987, 109709, 33541, 9174, 114626, 20230, 5486, 89154, 38248, 104, 115247, 33710, 64178, 30512, 112854, 105262, 102052, 5486, 103350, 104983, 20230, 57326, 108748, 54926, 105908, 15120, 87217, 38641, 1811, 33710, 64178, 30512, 48864, 102189, 33503, 5486, 98915, 104067, 71289, 122013, 19732, 126419, 20230, 89154, 38248, 104, 38248, 110, 103202, 30512, 126407, 104127, 64121, 17129, 109954, 1811, 57326, 108748, 54926, 118733, 5486, 33710, 64178, 30512, 103350, 124299, 112535, 113954, 54926, 105908, 125545, 9174, 71689, 29295, 5486, 89154, 38248, 104, 115247, 33710, 64178, 30512, 112854, 105262, 124122, 16995, 47884, 59739, 116421, 41007, 38641, 1811, 112371, 104328, 115847, 120577, 41007, 30512, 106081, 39926, 64121, 38144, 72315, 9174, 567, 117082, 38248, 104, 115247, 22656, 75267, 16556, 104284, 59739, 103846, 102052, 67645, 120950, 102669, 105838, 29295, 109215, 112130, 198, 89154, 38248, 104, 115247, 22656, 75267, 16556, 104284, 59739, 103846, 102052, 116898, 47884, 59739, 116421, 102669, 105838, 29295, 109215, 38641, 9174, 126843, 5486, 89154, 38248, 104, 115247, 22656, 75267, 16556, 104284, 59739, 103846, 102052, 5486, 105184, 103350, 20230, 108729, 33710, 64178, 30512, 113954, 39926, 33334, 47884, 105908, 107693, 38641, 1811, 89154, 38248, 104, 11972, 15682, 5486, 46034, 116510, 16144, 104195, 30813, 71289, 120007, 16144, 123120, 30512, 98499, 64121, 108167, 106272, 5486, 83812, 255, 76622, 35330, 30512, 115079, 71289, 56051, 31431, 114485, 33503, 56051, 31431, 54926, 114567, 38641, 1811, 108729, 33710, 64178, 30512, 113954, 39926, 33334, 47884, 118733, 5486, 115364, 46034, 116510, 16144, 104195, 30813, 71289, 120007, 16144, 46034, 16144, 125396, 30512, 37656, 105184, 20230, 122225, 54926, 105908, 125545, 9174, 53900, 5486, 89154, 38248, 104, 115247, 22656, 75267, 77181, 5486, 102669, 105838, 109904, 57326, 108748, 29295, 32018, 62004, 102204, 33541, 1811, 27452, 116285, 5486, 110101, 52591, 71289, 64810, 101198, 110101, 52591, 102083, 100472, 57933, 29220, 122842, 124905, 30297, 118733, 5486, 50021, 112909, 115461, 110027, 115926, 5486, 120007, 16144, 122225, 30512, 125144, 117063, 30369, 105908, 125545, 119520, 115847, 120577, 57933, 29220, 122842, 15682, 120007, 16144, 98499, 64121, 29295, 110631, 16995, 107803, 20230, 8239, 114503, 30512, 102404, 127327, 78434, 105879, 5486, 120007, 16144, 57326, 108748, 105335, 106696, 71289, 95543, 106608, 30512, 61633, 102987, 47884, 114181, 105085, 54926, 115789, 107693, 38641, 9174, 122270, 5486, 89154, 38248, 104, 115247, 22656, 75267, 77181, 5486, 105184, 96455, 16144, 122282, 71289, 105156, 82420, 109904, 106596, 29295, 109215, 121711, 33541, 1811, 27452, 116285, 5486, 115364, 46034, 116510, 29295, 104284, 59739, 105184, 96455, 71289, 120007, 16144, 46034, 16144, 125396, 30512, 122282, 54926, 118733, 5486, 105755, 37656, 105184, 26854, 122225, 29295, 125545, 118855, 5486, 89154, 38248, 104, 115247, 22656, 75267, 77181, 5486, 78459, 103830, 16144, 40452, 32977, 107693, 38641, 1811, 115364, 78459, 103830, 16144, 109577, 9039, 71289, 120007, 16144, 78459, 103830, 16144, 109577, 9039, 30512, 102178, 111665, 15024, 5486, 109431, 102769, 26854, 107507, 101198, 94550, 16556, 83812, 255, 76622, 35330, 30512, 115079, 114485, 124545, 105908, 104284, 60632, 111363, 112258, 113, 121711, 33541, 9174, 89154, 38248, 104, 115247, 22656, 75267, 16556, 104284, 59739, 103846, 102052, 5486, 108729, 33710, 64178, 16144, 113954, 5486, 102669, 105838, 109904, 57326, 108748, 5486, 105184, 96455, 16144, 122282, 5486, 78459, 103830, 16144, 40452, 104309, 5486, 103826, 104680, 26854, 31634, 72238, 29295, 109215, 38641, 1811, 120321, 106307, 109904, 48864, 108710, 19732, 106613, 111186, 30512, 108882, 64121, 30358, 101832, 30369, 118733, 5486, 105755, 126574, 44971, 102832, 114615, 57326, 108748, 29295, 88367, 121711, 33541, 9174, 14711, 117082, 38248, 104, 115247, 33710, 64178, 15682, 29504, 113468, 108901, 26854, 31431, 33541, 32149, 198, 112987, 5486, 89154, 38248, 104, 115247, 33710, 64178, 15682, 29504, 113468, 108901, 109020, 105908, 57903, 33541, 1811, 89154, 38248, 104, 11972, 15682, 102616, 16325, 16556, 126909, 16144, 101182, 123218, 114567, 116787, 5486, 108901, 109020, 119208, 71289, 29504, 77181, 106063, 37026, 16144, 33710, 64178, 71289, 66953, 37823, 76739, 38248, 115, 78205, 16073, 29295, 48706, 78434, 9174, 27452, 116285, 115132, 114740, 77181, 57933, 62903, 60868, 22398, 103927, 64178, 68408, 91062, 19732, 127173, 104028, 89154, 38248, 104, 11972, 29295, 108008, 20230, 126909, 115991, 33541, 113637, 66953, 37823, 76739, 38248, 115, 78205, 16073, 77181, 5486, 102208, 57326, 108748, 104930, 11972, 20230, 17, 109577, 16144, 46034, 116510, 29295, 55487, 102204, 5486, 20, 109577, 16144, 47260, 119263, 78683, 103906, 123218, 29295, 121298, 84389, 33541, 1811, 57326, 108748, 104930, 11972, 15682, 46034, 116510, 19732, 47260, 119263, 78683, 103906, 123218, 30512, 103214, 64121, 114146, 38144, 32335, 32977, 104195, 16995, 107734, 126694, 31431, 121406, 106592, 30832, 64467, 78434, 9174, 15120, 24273, 123085, 77181, 89154, 38248, 104, 11972, 15682, 83812, 255, 102216, 19732, 64121, 26854, 107001, 103846, 5486, 35417, 102052, 23039, 123671, 100481, 107515, 119520, 5486, 98915, 17792, 71289, 122013, 110792, 66776, 119695, 26854, 114567, 103306, 126407, 104004, 115789, 57903, 33541, 109807, 107803, 72661, 5486, 33710, 64178, 15682, 121568, 71289, 118953, 107610, 113468, 108901, 109020, 107803, 115991, 33541, 9174, 127177, 29504, 71289, 119208, 72661, 5486, 89154, 38248, 104, 115247, 33710, 64178, 15682, 103826, 104680, 26854, 31634, 72238, 113468, 108901, 109020, 105908, 57903, 33541, 1811, 27452, 116285, 5486, 123218, 16144, 55487, 31431, 24273, 71289, 107734, 16144, 93488, 119557, 5486, 83812, 255, 76622, 35330, 120938, 48249, 104309, 29295, 108901, 109020, 107803, 115991, 33541, 9174, 89154, 38248, 104, 115247, 33710, 64178, 29295, 29504, 113468, 108901, 109020, 114667, 15682, 5486, 106581, 71289, 112424, 16144, 121953, 111848, 102944, 38641, 1811, 102208, 29504, 15682, 104603, 68581, 16073, 112193, 113115, 54926, 106045, 44416, 71289, 44416, 48249, 30512, 102332, 107441, 108086, 108048, 20230, 106608, 100204, 38144, 89154, 38248, 104, 115247, 33710, 64178, 32977, 108901, 26854, 103836, 16144, 38641, 9174, 89154, 38248, 104, 11972, 30512, 57326, 108748, 54926, 104983, 102052, 106116, 29504, 71289, 119208, 16144, 33710, 64178, 20230, 123532, 30297, 105908, 107693, 38641, 118855, 5486, 89154, 38248, 104, 115247, 33710, 64178, 30512, 48864, 104369, 104983, 102052, 5486, 22023, 117943, 108608, 108134, 39084, 71289, 119695, 16144, 102472, 114265, 118372, 30512, 121846, 117657, 106592, 33334, 125683, 62004, 78434, 9174, 14711, 117082, 38248, 104, 115247, 22656, 75267, 16556, 107420, 16144, 57326, 108748, 104930, 11972, 108176, 102052, 104405, 126693, 104712, 112130, 198, 89154, 38248, 104, 115247, 22656, 75267, 16556, 107420, 16144, 57326, 108748, 104930, 11972, 108176, 102052, 5486, 88852, 16144, 41007, 115991, 33541, 9174, 126843, 5486, 107420, 16144, 57326, 108748, 104930, 11972, 108176, 103846, 102052, 5486, 89154, 38248, 104, 115247, 33710, 64178, 71289, 102669, 105838, 30512, 17599, 117, 104792, 112535, 48864, 104369, 109215, 115991, 33541, 1811, 89154, 38248, 104, 11972, 15682, 110904, 109020, 103768, 121142, 103470, 5486, 102669, 105838, 71289, 98499, 64121, 16144, 106556, 32977, 107693, 38641, 1811, 89154, 38248, 104, 115247, 33710, 64178, 71289, 108729, 109904, 102669, 105838, 30512, 48864, 104369, 113009, 5486, 102181, 108847, 71289, 110191, 118372, 16144, 100927, 103234, 30512, 107740, 112990, 103424, 117201, 109954, 9174, 53900, 5486, 103350, 104983, 20230, 57326, 108748, 54926, 115789, 107693, 38641, 1811, 89154, 38248, 104, 115247, 22656, 75267, 103195, 71493, 76428, 101335, 71289, 20251, 109793, 73590, 20230, 110284, 15024, 5486, 103350, 104983, 16144, 57326, 108748, 106613, 111186, 30512, 108882, 104004, 105908, 109215, 38641, 107751, 16144, 57326, 108748, 104930, 11972, 110792, 103359, 102669, 30512, 33035, 100204, 38144, 5486, 102669, 105838, 16144, 115541, 108710, 71289, 98499, 64121, 16144, 102097, 27479, 30512, 45736, 109315, 105908, 125545, 9174, 122270, 5486, 107420, 16144, 57326, 108748, 104930, 11972, 108176, 103846, 102052, 5486, 102099, 40452, 71289, 39850, 114483, 114615, 104195, 33208, 32977, 109215, 38641, 1811, 89154, 38248, 104, 11972, 15682, 101544, 82973, 16144, 120766, 48634, 71289, 113805, 113420, 48634, 29295, 32018, 62004, 110071, 114567, 38641, 1811, 118192, 26269, 105988, 38248, 226, 71634, 108744, 113115, 120837, 106142, 106353, 113115, 106608, 108608, 104466, 5486, 39850, 114483, 108958, 44971, 118928, 94550, 117824, 30297, 105908, 27384, 102769, 38641, 9174, 107420, 16144, 57326, 108748, 104930, 11972, 108176, 102052, 5486, 71689, 16144, 41007, 30512, 103214, 64121, 114146, 38144, 108167, 103214, 104004, 105908, 107693, 38641, 1811, 89154, 38248, 104, 115247, 22656, 75267, 16556, 19653, 54926, 103846, 102052, 5486, 53283, 109375, 16144, 108710, 50928, 5486, 106613, 111186, 16144, 108882, 64121, 30358, 101832, 5486, 80539, 39850, 114483, 114615, 104195, 33208, 29295, 124490, 32149, 72342, 107515, 1811, 121837, 19732, 120321, 106307, 109904, 48864, 108710, 30512, 33035, 100204, 38144, 5486, 107420, 16144, 57326, 108748, 104930, 11972, 108176, 113871, 30512, 103350, 102321, 103801, 109954, 9174, 14711, 117082, 38248, 104, 115247, 33710, 64178, 30512, 112825, 110904, 20230, 122984, 39926, 72315, 9174, 89154, 38248, 104, 115247, 33710, 64178, 30512, 112825, 110904, 20230, 122984, 78434, 9174, 89154, 38248, 104, 11972, 15682, 5486, 20251, 93488, 57326, 124905, 100472, 123218, 114567, 16556, 5486, 57326, 108748, 104930, 11972, 42016, 101559, 29295, 46034, 116510, 30512, 103214, 64121, 114146, 38144, 107734, 126694, 31431, 5486, 104284, 113529, 30512, 114300, 61689, 9174, 126843, 5486, 89154, 38248, 104, 11972, 77181, 117032, 5486, 4103, 109577, 16144, 20251, 93488, 57326, 30512, 38129, 78434, 1811, 57326, 108748, 104930, 11972, 15682, 77693, 108422, 33121, 46034, 116510, 103306, 20, 109577, 16144, 123218, 114475, 76622, 108167, 33541, 9174, 89154, 38248, 104, 115247, 113173, 15682, 5486, 46034, 116510, 16144, 123218, 30512, 103214, 64121, 114146, 38144, 5486, 127177, 57326, 108748, 104930, 38248, 230, 31431, 32977, 104195, 16995, 107734, 126694, 30369, 100909, 38641, 1811, 107734, 16144, 104195, 30813, 15682, 5486, 107734, 16144, 93488, 29220, 113468, 104662, 109709, 33541, 9174, 89154, 38248, 104, 115247, 107734, 102052, 5486, 102040, 102860, 107809, 20230, 96412, 17129, 104028, 123218, 16144, 103214, 64121, 114146, 113468, 104662, 115464, 102944, 115991, 33541, 1811, 27452, 116285, 5486, 42634, 117733, 122981, 32131, 116219, 15682, 5486, 112361, 22398, 84477, 16144, 605, 55031, 76739, 61398, 103296, 16144, 123218, 16556, 106391, 13153, 107001, 107734, 38641, 9174, 53900, 5486, 107734, 16144, 104195, 30813, 15682, 110480, 25129, 115991, 112160, 87217, 104195, 16995, 104468, 42634, 117733, 122981, 32131, 116219, 16556, 112160, 87217, 112294, 16995, 104468, 126507, 123218, 121711, 33541, 9174, 89154, 38248, 104, 11972, 77181, 5486, 57326, 108748, 104930, 11972, 15682, 46034, 116510, 30512, 39209, 109033, 54926, 115789, 125545, 118844, 30512, 13177, 45923, 117243, 66383, 16995, 61689, 1811, 45923, 117243, 54926, 118733, 46034, 116510, 30512, 23226, 106594, 15024, 5486, 105755, 104195, 16995, 107734, 126694, 30369, 109933, 107446, 29295, 21990, 123606, 33541, 9174, 114626, 20230, 5486, 89154, 38248, 104, 11972, 77181, 83812, 255, 76622, 29295, 23039, 123671, 33541, 1811, 57326, 108748, 104930, 11972, 15682, 115364, 46034, 116510, 16144, 104195, 30813, 20230, 37026, 22023, 29295, 30591, 104984, 83812, 255, 105784, 105908, 125545, 29295, 5486, 127177, 57326, 108748, 104930, 11972, 32977, 83812, 255, 76622, 117824, 30297, 105908, 125545, 1811, 124042, 112535, 5486, 32335, 32977, 104195, 16995, 107734, 126694, 100472, 57326, 108748, 104930, 11972, 29295, 104284, 30046, 121711, 33541, 9174, 71689, 29295, 89154, 38248, 104, 115247, 33710, 64178, 16144, 112825, 110904, 26854, 122984, 38641, 1811, 89154, 38248, 104, 11972, 15682, 102669, 105838, 71289, 127298, 102669, 32977, 107693, 26854, 31634, 72238, 117282, 114567, 116787, 5486, 9039, 43240, 119064, 66953, 37823, 76739, 38248, 115, 78205, 16073, 29295, 48706, 78434, 1811, 21043, 66776, 5486, 114099, 102669, 39926, 64121, 38144, 72315, 9174, 14711, 117082, 38248, 104, 115247, 22656, 75267, 113245, 112345, 20230, 110284, 54926, 102052, 104405, 126693, 104712, 112130, 198, 89154, 38248, 104, 115247, 22656, 75267, 113245, 112345, 20230, 110284, 54926, 102052, 5486, 88852, 16144, 46034, 110480, 30512, 119870, 104004, 109215, 115991, 33541, 9174, 126843, 5486, 89154, 38248, 104, 115247, 22656, 75267, 102083, 105262, 116245, 30512, 102647, 102802, 17129, 109954, 1811, 102616, 112535, 19361, 13372, 26854, 89154, 38248, 104, 115247, 112345, 29295, 87447, 113497, 107001, 113949, 103306, 15682, 5486, 112718, 102832, 102472, 22398, 71289, 102494, 108304, 115145, 42634, 104309, 115991, 33541, 118844, 120577, 116245, 16556, 87447, 113497, 107001, 112345, 20230, 110284, 54926, 118733, 123213, 75267, 16144, 25132, 108, 116310, 95221, 30512, 33014, 111186, 54926, 105908, 125545, 9174, 33671, 20230, 110745, 38093, 20230, 110284, 54926, 124122, 110284, 106382, 30512, 11883, 37689, 103801, 109954, 1811, 89154, 38248, 104, 115247, 112345, 102052, 76739, 52414, 37823, 112694, 57183, 11972, 19732, 127173, 104028, 110284, 106382, 29295, 109215, 38641, 1811, 112345, 16144, 106045, 54872, 71289, 44971, 115882, 113468, 110284, 106382, 15682, 108901, 26854, 31431, 33541, 105879, 5486, 30926, 112772 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8239, 114503, 9554, 38641, 1811, 98915, 104067, 71289, 122013, 19732, 126419, 20230, 89154, 38248, 104, 38248, 110, 103202, 30512, 126407, 104004, 118733, 5486, 33710, 64178, 30512, 103350, 124299, 112535, 48864, 104369, 105908, 125545, 1811, 85707, 107436, 16144, 126513, 5486, 103167, 109518, 16144, 83812, 255, 76622, 16556, 57326, 108748, 54926, 106592, 33334, 125683, 62004, 78434, 9174, 122270, 5486, 89154, 38248, 104, 115247, 33710, 64178, 30512, 113954, 54926, 103846, 102052, 5486, 107420, 16144, 57326, 108748, 104930, 115247, 91875, 55723, 71289, 106081, 40862, 16144, 114181, 102669, 32977, 19361, 126120, 38641, 1811, 103031, 120577, 57326, 108748, 105335, 106696, 71289, 122225, 75146, 107253, 114447, 118733, 5486, 89154, 38248, 104, 115247, 102669, 105838, 71289, 33710, 64178, 109853, 16144, 113954, 30512, 102987, 109315, 105908, 125545, 9174, 89154, 38248, 104, 115247, 33710, 64178, 30512, 112854, 105262, 103846, 102052, 5486, 103721, 108, 31431, 104196, 15024, 48864, 108710, 54926, 115789, 107693, 38641, 1811, 33710, 64178, 71289, 107734, 16144, 104195, 30813, 5486, 102832, 67075, 16144, 106548, 103214, 64121, 104309, 30512, 95543, 109095, 39926, 48864, 104369, 118733, 5486, 113954, 29295, 102987, 109709, 33541, 9174, 114626, 20230, 5486, 89154, 38248, 104, 115247, 33710, 64178, 30512, 112854, 105262, 102052, 5486, 103350, 104983, 20230, 57326, 108748, 54926, 105908, 15120, 87217, 38641, 1811, 33710, 64178, 30512, 48864, 102189, 33503, 5486, 98915, 104067, 71289, 122013, 19732, 126419, 20230, 89154, 38248, 104, 38248, 110, 103202, 30512, 126407, 104127, 64121, 17129, 109954, 1811, 57326, 108748, 54926, 118733, 5486, 33710, 64178, 30512, 103350, 124299, 112535, 113954, 54926, 105908, 125545, 9174, 71689, 29295, 5486, 89154, 38248, 104, 115247, 33710, 64178, 30512, 112854, 105262, 124122, 16995, 47884, 59739, 116421, 41007, 38641, 1811, 112371, 104328, 115847, 120577, 41007, 30512, 106081, 39926, 64121, 38144, 72315, 9174, 567, 117082, 38248, 104, 115247, 22656, 75267, 16556, 104284, 59739, 103846, 102052, 67645, 120950, 102669, 105838, 29295, 109215, 112130, 198, 89154, 38248, 104, 115247, 22656, 75267, 16556, 104284, 59739, 103846, 102052, 116898, 47884, 59739, 116421, 102669, 105838, 29295, 109215, 38641, 9174, 126843, 5486, 89154, 38248, 104, 115247, 22656, 75267, 16556, 104284, 59739, 103846, 102052, 5486, 105184, 103350, 20230, 108729, 33710, 64178, 30512, 113954, 39926, 33334, 47884, 105908, 107693, 38641, 1811, 89154, 38248, 104, 11972, 15682, 5486, 46034, 116510, 16144, 104195, 30813, 71289, 120007, 16144, 123120, 30512, 98499, 64121, 108167, 106272, 5486, 83812, 255, 76622, 35330, 30512, 115079, 71289, 56051, 31431, 114485, 33503, 56051, 31431, 54926, 114567, 38641, 1811, 108729, 33710, 64178, 30512, 113954, 39926, 33334, 47884, 118733, 5486, 115364, 46034, 116510, 16144, 104195, 30813, 71289, 120007, 16144, 46034, 16144, 125396, 30512, 37656, 105184, 20230, 122225, 54926, 105908, 125545, 9174, 53900, 5486, 89154, 38248, 104, 115247, 22656, 75267, 77181, 5486, 102669, 105838, 109904, 57326, 108748, 29295, 32018, 62004, 102204, 33541, 1811, 27452, 116285, 5486, 110101, 52591, 71289, 64810, 101198, 110101, 52591, 102083, 100472, 57933, 29220, 122842, 124905, 30297, 118733, 5486, 50021, 112909, 115461, 110027, 115926, 5486, 120007, 16144, 122225, 30512, 125144, 117063, 30369, 105908, 125545, 119520, 115847, 120577, 57933, 29220, 122842, 15682, 120007, 16144, 98499, 64121, 29295, 110631, 16995, 107803, 20230, 8239, 114503, 30512, 102404, 127327, 78434, 105879, 5486, 120007, 16144, 57326, 108748, 105335, 106696, 71289, 95543, 106608, 30512, 61633, 102987, 47884, 114181, 105085, 54926, 115789, 107693, 38641, 9174, 122270, 5486, 89154, 38248, 104, 115247, 22656, 75267, 77181, 5486, 105184, 96455, 16144, 122282, 71289, 105156, 82420, 109904, 106596, 29295, 109215, 121711, 33541, 1811, 27452, 116285, 5486, 115364, 46034, 116510, 29295, 104284, 59739, 105184, 96455, 71289, 120007, 16144, 46034, 16144, 125396, 30512, 122282, 54926, 118733, 5486, 105755, 37656, 105184, 26854, 122225, 29295, 125545, 118855, 5486, 89154, 38248, 104, 115247, 22656, 75267, 77181, 5486, 78459, 103830, 16144, 40452, 32977, 107693, 38641, 1811, 115364, 78459, 103830, 16144, 109577, 9039, 71289, 120007, 16144, 78459, 103830, 16144, 109577, 9039, 30512, 102178, 111665, 15024, 5486, 109431, 102769, 26854, 107507, 101198, 94550, 16556, 83812, 255, 76622, 35330, 30512, 115079, 114485, 124545, 105908, 104284, 60632, 111363, 112258, 113, 121711, 33541, 9174, 89154, 38248, 104, 115247, 22656, 75267, 16556, 104284, 59739, 103846, 102052, 5486, 108729, 33710, 64178, 16144, 113954, 5486, 102669, 105838, 109904, 57326, 108748, 5486, 105184, 96455, 16144, 122282, 5486, 78459, 103830, 16144, 40452, 104309, 5486, 103826, 104680, 26854, 31634, 72238, 29295, 109215, 38641, 1811, 120321, 106307, 109904, 48864, 108710, 19732, 106613, 111186, 30512, 108882, 64121, 30358, 101832, 30369, 118733, 5486, 105755, 126574, 44971, 102832, 114615, 57326, 108748, 29295, 88367, 121711, 33541, 9174, 14711, 117082, 38248, 104, 115247, 33710, 64178, 15682, 29504, 113468, 108901, 26854, 31431, 33541, 32149, 198, 112987, 5486, 89154, 38248, 104, 115247, 33710, 64178, 15682, 29504, 113468, 108901, 109020, 105908, 57903, 33541, 1811, 89154, 38248, 104, 11972, 15682, 102616, 16325, 16556, 126909, 16144, 101182, 123218, 114567, 116787, 5486, 108901, 109020, 119208, 71289, 29504, 77181, 106063, 37026, 16144, 33710, 64178, 71289, 66953, 37823, 76739, 38248, 115, 78205, 16073, 29295, 48706, 78434, 9174, 27452, 116285, 115132, 114740, 77181, 57933, 62903, 60868, 22398, 103927, 64178, 68408, 91062, 19732, 127173, 104028, 89154, 38248, 104, 11972, 29295, 108008, 20230, 126909, 115991, 33541, 113637, 66953, 37823, 76739, 38248, 115, 78205, 16073, 77181, 5486, 102208, 57326, 108748, 104930, 11972, 20230, 17, 109577, 16144, 46034, 116510, 29295, 55487, 102204, 5486, 20, 109577, 16144, 47260, 119263, 78683, 103906, 123218, 29295, 121298, 84389, 33541, 1811, 57326, 108748, 104930, 11972, 15682, 46034, 116510, 19732, 47260, 119263, 78683, 103906, 123218, 30512, 103214, 64121, 114146, 38144, 32335, 32977, 104195, 16995, 107734, 126694, 31431, 121406, 106592, 30832, 64467, 78434, 9174, 15120, 24273, 123085, 77181, 89154, 38248, 104, 11972, 15682, 83812, 255, 102216, 19732, 64121, 26854, 107001, 103846, 5486, 35417, 102052, 23039, 123671, 100481, 107515, 119520, 5486, 98915, 17792, 71289, 122013, 110792, 66776, 119695, 26854, 114567, 103306, 126407, 104004, 115789, 57903, 33541, 109807, 107803, 72661, 5486, 33710, 64178, 15682, 121568, 71289, 118953, 107610, 113468, 108901, 109020, 107803, 115991, 33541, 9174, 127177, 29504, 71289, 119208, 72661, 5486, 89154, 38248, 104, 115247, 33710, 64178, 15682, 103826, 104680, 26854, 31634, 72238, 113468, 108901, 109020, 105908, 57903, 33541, 1811, 27452, 116285, 5486, 123218, 16144, 55487, 31431, 24273, 71289, 107734, 16144, 93488, 119557, 5486, 83812, 255, 76622, 35330, 120938, 48249, 104309, 29295, 108901, 109020, 107803, 115991, 33541, 9174, 89154, 38248, 104, 115247, 33710, 64178, 29295, 29504, 113468, 108901, 109020, 114667, 15682, 5486, 106581, 71289, 112424, 16144, 121953, 111848, 102944, 38641, 1811, 102208, 29504, 15682, 104603, 68581, 16073, 112193, 113115, 54926, 106045, 44416, 71289, 44416, 48249, 30512, 102332, 107441, 108086, 108048, 20230, 106608, 100204, 38144, 89154, 38248, 104, 115247, 33710, 64178, 32977, 108901, 26854, 103836, 16144, 38641, 9174, 89154, 38248, 104, 11972, 30512, 57326, 108748, 54926, 104983, 102052, 106116, 29504, 71289, 119208, 16144, 33710, 64178, 20230, 123532, 30297, 105908, 107693, 38641, 118855, 5486, 89154, 38248, 104, 115247, 33710, 64178, 30512, 48864, 104369, 104983, 102052, 5486, 22023, 117943, 108608, 108134, 39084, 71289, 119695, 16144, 102472, 114265, 118372, 30512, 121846, 117657, 106592, 33334, 125683, 62004, 78434, 9174, 14711, 117082, 38248, 104, 115247, 22656, 75267, 16556, 107420, 16144, 57326, 108748, 104930, 11972, 108176, 102052, 104405, 126693, 104712, 112130, 198, 89154, 38248, 104, 115247, 22656, 75267, 16556, 107420, 16144, 57326, 108748, 104930, 11972, 108176, 102052, 5486, 88852, 16144, 41007, 115991, 33541, 9174, 126843, 5486, 107420, 16144, 57326, 108748, 104930, 11972, 108176, 103846, 102052, 5486, 89154, 38248, 104, 115247, 33710, 64178, 71289, 102669, 105838, 30512, 17599, 117, 104792, 112535, 48864, 104369, 109215, 115991, 33541, 1811, 89154, 38248, 104, 11972, 15682, 110904, 109020, 103768, 121142, 103470, 5486, 102669, 105838, 71289, 98499, 64121, 16144, 106556, 32977, 107693, 38641, 1811, 89154, 38248, 104, 115247, 33710, 64178, 71289, 108729, 109904, 102669, 105838, 30512, 48864, 104369, 113009, 5486, 102181, 108847, 71289, 110191, 118372, 16144, 100927, 103234, 30512, 107740, 112990, 103424, 117201, 109954, 9174, 53900, 5486, 103350, 104983, 20230, 57326, 108748, 54926, 115789, 107693, 38641, 1811, 89154, 38248, 104, 115247, 22656, 75267, 103195, 71493, 76428, 101335, 71289, 20251, 109793, 73590, 20230, 110284, 15024, 5486, 103350, 104983, 16144, 57326, 108748, 106613, 111186, 30512, 108882, 104004, 105908, 109215, 38641, 107751, 16144, 57326, 108748, 104930, 11972, 110792, 103359, 102669, 30512, 33035, 100204, 38144, 5486, 102669, 105838, 16144, 115541, 108710, 71289, 98499, 64121, 16144, 102097, 27479, 30512, 45736, 109315, 105908, 125545, 9174, 122270, 5486, 107420, 16144, 57326, 108748, 104930, 11972, 108176, 103846, 102052, 5486, 102099, 40452, 71289, 39850, 114483, 114615, 104195, 33208, 32977, 109215, 38641, 1811, 89154, 38248, 104, 11972, 15682, 101544, 82973, 16144, 120766, 48634, 71289, 113805, 113420, 48634, 29295, 32018, 62004, 110071, 114567, 38641, 1811, 118192, 26269, 105988, 38248, 226, 71634, 108744, 113115, 120837, 106142, 106353, 113115, 106608, 108608, 104466, 5486, 39850, 114483, 108958, 44971, 118928, 94550, 117824, 30297, 105908, 27384, 102769, 38641, 9174, 107420, 16144, 57326, 108748, 104930, 11972, 108176, 102052, 5486, 71689, 16144, 41007, 30512, 103214, 64121, 114146, 38144, 108167, 103214, 104004, 105908, 107693, 38641, 1811, 89154, 38248, 104, 115247, 22656, 75267, 16556, 19653, 54926, 103846, 102052, 5486, 53283, 109375, 16144, 108710, 50928, 5486, 106613, 111186, 16144, 108882, 64121, 30358, 101832, 5486, 80539, 39850, 114483, 114615, 104195, 33208, 29295, 124490, 32149, 72342, 107515, 1811, 121837, 19732, 120321, 106307, 109904, 48864, 108710, 30512, 33035, 100204, 38144, 5486, 107420, 16144, 57326, 108748, 104930, 11972, 108176, 113871, 30512, 103350, 102321, 103801, 109954, 9174, 14711, 117082, 38248, 104, 115247, 33710, 64178, 30512, 112825, 110904, 20230, 122984, 39926, 72315, 9174, 89154, 38248, 104, 115247, 33710, 64178, 30512, 112825, 110904, 20230, 122984, 78434, 9174, 89154, 38248, 104, 11972, 15682, 5486, 20251, 93488, 57326, 124905, 100472, 123218, 114567, 16556, 5486, 57326, 108748, 104930, 11972, 42016, 101559, 29295, 46034, 116510, 30512, 103214, 64121, 114146, 38144, 107734, 126694, 31431, 5486, 104284, 113529, 30512, 114300, 61689, 9174, 126843, 5486, 89154, 38248, 104, 11972, 77181, 117032, 5486, 4103, 109577, 16144, 20251, 93488, 57326, 30512, 38129, 78434, 1811, 57326, 108748, 104930, 11972, 15682, 77693, 108422, 33121, 46034, 116510, 103306, 20, 109577, 16144, 123218, 114475, 76622, 108167, 33541, 9174, 89154, 38248, 104, 115247, 113173, 15682, 5486, 46034, 116510, 16144, 123218, 30512, 103214, 64121, 114146, 38144, 5486, 127177, 57326, 108748, 104930, 38248, 230, 31431, 32977, 104195, 16995, 107734, 126694, 30369, 100909, 38641, 1811, 107734, 16144, 104195, 30813, 15682, 5486, 107734, 16144, 93488, 29220, 113468, 104662, 109709, 33541, 9174, 89154, 38248, 104, 115247, 107734, 102052, 5486, 102040, 102860, 107809, 20230, 96412, 17129, 104028, 123218, 16144, 103214, 64121, 114146, 113468, 104662, 115464, 102944, 115991, 33541, 1811, 27452, 116285, 5486, 42634, 117733, 122981, 32131, 116219, 15682, 5486, 112361, 22398, 84477, 16144, 605, 55031, 76739, 61398, 103296, 16144, 123218, 16556, 106391, 13153, 107001, 107734, 38641, 9174, 53900, 5486, 107734, 16144, 104195, 30813, 15682, 110480, 25129, 115991, 112160, 87217, 104195, 16995, 104468, 42634, 117733, 122981, 32131, 116219, 16556, 112160, 87217, 112294, 16995, 104468, 126507, 123218, 121711, 33541, 9174, 89154, 38248, 104, 11972, 77181, 5486, 57326, 108748, 104930, 11972, 15682, 46034, 116510, 30512, 39209, 109033, 54926, 115789, 125545, 118844, 30512, 13177, 45923, 117243, 66383, 16995, 61689, 1811, 45923, 117243, 54926, 118733, 46034, 116510, 30512, 23226, 106594, 15024, 5486, 105755, 104195, 16995, 107734, 126694, 30369, 109933, 107446, 29295, 21990, 123606, 33541, 9174, 114626, 20230, 5486, 89154, 38248, 104, 11972, 77181, 83812, 255, 76622, 29295, 23039, 123671, 33541, 1811, 57326, 108748, 104930, 11972, 15682, 115364, 46034, 116510, 16144, 104195, 30813, 20230, 37026, 22023, 29295, 30591, 104984, 83812, 255, 105784, 105908, 125545, 29295, 5486, 127177, 57326, 108748, 104930, 11972, 32977, 83812, 255, 76622, 117824, 30297, 105908, 125545, 1811, 124042, 112535, 5486, 32335, 32977, 104195, 16995, 107734, 126694, 100472, 57326, 108748, 104930, 11972, 29295, 104284, 30046, 121711, 33541, 9174, 71689, 29295, 89154, 38248, 104, 115247, 33710, 64178, 16144, 112825, 110904, 26854, 122984, 38641, 1811, 89154, 38248, 104, 11972, 15682, 102669, 105838, 71289, 127298, 102669, 32977, 107693, 26854, 31634, 72238, 117282, 114567, 116787, 5486, 9039, 43240, 119064, 66953, 37823, 76739, 38248, 115, 78205, 16073, 29295, 48706, 78434, 1811, 21043, 66776, 5486, 114099, 102669, 39926, 64121, 38144, 72315, 9174, 14711, 117082, 38248, 104, 115247, 22656, 75267, 113245, 112345, 20230, 110284, 54926, 102052, 104405, 126693, 104712, 112130, 198, 89154, 38248, 104, 115247, 22656, 75267, 113245, 112345, 20230, 110284, 54926, 102052, 5486, 88852, 16144, 46034, 110480, 30512, 119870, 104004, 109215, 115991, 33541, 9174, 126843, 5486, 89154, 38248, 104, 115247, 22656, 75267, 102083, 105262, 116245, 30512, 102647, 102802, 17129, 109954, 1811, 102616, 112535, 19361, 13372, 26854, 89154, 38248, 104, 115247, 112345, 29295, 87447, 113497, 107001, 113949, 103306, 15682, 5486, 112718, 102832, 102472, 22398, 71289, 102494, 108304, 115145, 42634, 104309, 115991, 33541, 118844, 120577, 116245, 16556, 87447, 113497, 107001, 112345, 20230, 110284, 54926, 118733, 123213, 75267, 16144, 25132, 108, 116310, 95221, 30512, 33014, 111186, 54926, 105908, 125545, 9174, 33671, 20230, 110745, 38093, 20230, 110284, 54926, 124122, 110284, 106382, 30512, 11883, 37689, 103801, 109954, 1811, 89154, 38248, 104, 115247, 112345, 102052, 76739, 52414, 37823, 112694, 57183, 11972, 19732, 127173, 104028, 110284, 106382, 29295, 109215, 38641, 1811, 112345, 16144, 106045, 54872, 71289, 44971, 115882, 113468, 110284, 106382, 15682, 108901, 26854, 31431, 33541, 105879, 5486, 30926, 112772 ]
[ 114140, 39926, 33334, 47884, 105908, 107693, 38641, 9174, 53900, 5486, 89154, 38248, 104, 115247, 112345, 20230, 110284, 54926, 103846, 102052, 5486, 118192, 25005, 97, 11972, 103306, 16144, 22398, 62903, 33710, 71289, 53283, 109375, 32977, 109215, 38641, 1811, 89154, 38248, 104, 115247, 33710, 64178, 71289, 102669, 105838, 30512, 109809, 53283, 15024, 5486, 103350, 124299, 109904, 106613, 111186, 30512, 108882, 104004, 105908, 27384, 102769, 38641, 1811, 115541, 108710, 30512, 30358, 101832, 5486, 37026, 22023, 114792, 76947, 112345, 20230, 122678, 104004, 105908, 108608, 104466, 103801, 109954, 9174, 122270, 110745, 38093, 20230, 110284, 54926, 124122, 120999, 71289, 46034, 106307, 50834, 32977, 109215, 38641, 1811, 112345, 16144, 110284, 31634, 105904, 71289, 102782, 104526, 41007, 30512, 114140, 15024, 5486, 109215, 26854, 46034, 106307, 50834, 117824, 76947, 33334, 50834, 17129, 109954, 118855, 5486, 110284, 20230, 30591, 28713, 76947, 15682, 96356, 17620, 110322, 31958, 102181, 71289, 80805, 22398, 121057, 123160, 96356, 24186, 114140, 102181, 104770, 29295, 109215, 26854, 107803, 32977, 57903, 33541, 105879, 5486, 112727, 33121, 101860, 20230, 107253, 104874, 39926, 33334, 47884, 105908, 107693, 38641, 9174, 71689, 120950, 46034, 110480, 30512, 119870, 104004, 118733, 5486, 89154, 38248, 104, 115247, 22656, 75267, 113245, 112345, 20230, 110284, 54926, 105908, 125545, 1811, 112345, 20230, 110284, 54926, 104983, 102052, 5486, 116907, 16144, 22398, 62903, 33710, 71289, 53283, 109375, 30512, 76706, 123772, 5486, 102669, 105838, 112535, 57326, 110494, 54926, 105908, 19653, 111363, 112258, 113, 121711, 33541, 1811, 80988, 239, 105714, 76947, 20251, 109793, 73590, 16556, 104284, 43514, 113487, 47884, 106592, 30832, 64467, 103801, 109954, 106609, 567, 117082, 38248, 104, 115247, 33710, 64178, 30512, 106154, 30369, 113009, 61633, 17663, 125231, 120098, 15682, 57903, 33541, 32149, 198, 89154, 38248, 104, 115247, 33710, 64178, 30512, 106154, 30369, 113009, 61633, 17663, 125231, 120098, 112987, 47884, 59739, 32149, 57903, 33541, 1811, 126843, 5486, 89154, 38248, 104, 115247, 33710, 64178, 30512, 37656, 105184, 20230, 113954, 54926, 105908, 107693, 38641, 1811, 89154, 38248, 104, 11972, 15682, 103826, 104680, 26854, 66953, 37823, 76739, 38248, 115, 78205, 16073, 115991, 33541, 105879, 5486, 57326, 108748, 54926, 112772, 33710, 64178, 30512, 114140, 103801, 109954, 9174, 53900, 5486, 89154, 38248, 104, 11972, 15682, 104603, 68581, 16073, 112193, 112028, 83799, 107328, 38641, 105879, 5486, 109431, 102769, 26854, 83812, 255, 76622, 35330, 30512, 116700, 54926, 115789, 27384, 102769, 38641, 1811, 115364, 106613, 111587, 109904, 127749, 20230, 114146, 38144, 83812, 255, 105784, 35330, 109518, 30512, 104662, 62004, 17129, 109954, 9174, 122270, 5486, 89154, 38248, 104, 11972, 15682, 120007, 16144, 123120, 71289, 112741, 30512, 98499, 104004, 115789, 107693, 38641, 1811, 120007, 16144, 103672, 103857, 108994, 16073, 105621, 78767, 71289, 112741, 55031, 46034, 16144, 104195, 30813, 71289, 37689, 111629, 30512, 98499, 64121, 18655, 30369, 118733, 5486, 105755, 19361, 60632, 26854, 122225, 29295, 125545, 9174, 53900, 5486, 89154, 38248, 104, 11972, 15682, 102669, 105838, 109904, 114567, 38641, 105879, 5486, 115364, 46034, 116510, 71289, 103672, 65575, 16144, 127749, 20230, 106608, 100204, 28713, 102669, 105838, 30512, 121697, 30369, 115789, 109215, 38641, 1811, 120007, 16144, 112909, 98499, 64121, 106272, 5486, 115364, 46034, 16144, 104195, 30813, 30512, 112366, 48249, 20230, 21990, 32149, 17663, 57326, 108748, 30512, 64209, 115856, 76622, 17129, 109954, 9174, 114626, 20230, 5486, 89154, 38248, 104, 11972, 15682, 103768, 32977, 107693, 26854, 31634, 72238, 38641, 105879, 5486, 104284, 113529, 20230, 22957, 36785, 116547, 120195, 101860, 5486, 126407, 104004, 115789, 27384, 102769, 38641, 1811, 104284, 59739, 100909, 126036, 5486, 114567, 30512, 33035, 100204, 38144, 98915, 17792, 71289, 113850, 56965, 110792, 113841, 30512, 126407, 104004, 115789, 89154, 38248, 104, 115247, 105194, 235, 105194, 238, 103868, 38641, 9174, 71689, 29295, 5486, 89154, 38248, 104, 115247, 33710, 64178, 30512, 106154, 30369, 113009, 61633, 17663, 125231, 120098, 38641, 1811, 37656, 105184, 26854, 33710, 64178, 16144, 113954, 5486, 109431, 102769, 26854, 83812, 255, 76622, 35330, 16144, 116700, 5486, 120007, 16144, 123120, 16144, 98499, 64121, 108167, 5486, 102669, 105838, 109904, 57326, 108748, 5486, 80539, 126407, 104004, 106592, 64209, 115856, 76622, 17129, 109954, 9174, 14711, 117082, 38248, 104, 115247, 22656, 75267, 113245, 57326, 108748, 20230, 109215, 26854, 110794, 35330, 15682, 67645, 16144, 120264, 112130, 198, 89154, 38248, 104, 115247, 22656, 75267, 113245, 57326, 108748, 20230, 109215, 26854, 110794, 35330, 15682, 5486, 57326, 108748, 54926, 116245, 71289, 44971, 115882, 113468, 108901, 26854, 31431, 33541, 1811, 108936, 9554, 102052, 5486, 32335, 103167, 72661, 114392, 26854, 110794, 35330, 30512, 11883, 37689, 54926, 109215, 115991, 33541, 9174, 89154, 38248, 104, 115247, 22656, 75267, 113245, 57326, 108748, 102052, 5486, 88852, 120950, 31634, 72238, 29295, 116690, 39926, 50834, 33541, 9174, 16, 13, 106156, 84477, 5232, 57326, 108748, 54926, 57933, 109229, 114615, 44971, 84477, 113468, 5486, 109215, 26854, 110794, 35330, 29295, 104721, 116547, 33541, 1811, 45736, 44971, 84477, 16144, 57933, 121294, 77181, 5486, 105755, 43240, 119064, 110794, 35330, 29295, 109215, 115717, 33541, 9174, 17, 13, 109887, 108748, 105335, 106696, 5232, 115364, 57326, 108748, 105335, 106696, 20230, 114146, 38144, 5486, 110794, 35330, 30512, 104873, 64531, 54926, 109215, 115991, 33541, 1811, 39880, 41758, 44971, 26269, 57207, 52884, 26854, 57326, 108748, 105335, 106696, 30512, 53901, 104004, 126513, 5486, 105755, 43240, 119064, 110794, 35330, 29295, 109215, 108176, 123253, 9174, 18, 13, 109228, 16073, 110305, 64178, 40452, 5232, 89154, 38248, 104, 11972, 16556, 19653, 54926, 103846, 102052, 5486, 109431, 102769, 26854, 66953, 16073, 110305, 64178, 40452, 29295, 107693, 38641, 1811, 115364, 57326, 108748, 105335, 106696, 71289, 106613, 111186, 20230, 114146, 38144, 5486, 110794, 35330, 30512, 40452, 54926, 109215, 115991, 33541, 9174, 19, 13, 113545, 109229, 114615, 66378, 34171, 5232, 57326, 108748, 54926, 57933, 109229, 114615, 66378, 34171, 32977, 110794, 35330, 20230, 117375, 30512, 58318, 58942, 33541, 1811, 57933, 109229, 114615, 57326, 108748, 104930, 115247, 22398, 62903, 33710, 44971, 115882, 71289, 101427, 122, 70141, 30512, 78698, 101557, 106, 15024, 5486, 110794, 35330, 30512, 104873, 64531, 54926, 109215, 115991, 33541, 9174, 71689, 16144, 31634, 72238, 30512, 78698, 101557, 106, 39926, 5486, 89154, 38248, 104, 115247, 22656, 75267, 113245, 57326, 108748, 20230, 109215, 26854, 110794, 35330, 30512, 104662, 109315, 105908, 107693, 38641, 1811, 115364, 57326, 108748, 105335, 106696, 71289, 106613, 111186, 20230, 114146, 38144, 5486, 109431, 102769, 26854, 110794, 35330, 30512, 11883, 37689, 103801, 109954, 1811, 128001, 128000, 30591, 112568, 15682, 5486, 103572, 38574, 16144, 104654, 16556, 66953, 119930, 103424, 47884, 15308, 226, 113598, 30512, 18655, 115032, 123253, 32149, 9174, 121410, 117073, 66953, 119930, 30512, 64209, 29295, 107441, 18655, 30369, 109335, 5486, 37689, 109375, 30512, 39926, 102532, 32977, 111108, 102800, 100909, 36785, 106046, 61689, 1811, 103572, 38574, 16144, 104654, 77181, 15308, 226, 113598, 29295, 104405, 120837, 127242, 29295, 43514, 117084, 103801, 16995, 5486, 117178, 112624, 71289, 58666, 37729, 5486, 116907, 16144, 113614, 20230, 117375, 125334, 38144, 103801, 103836, 17792, 32977, 107991, 32149, 110241, 33121, 107515, 1811, 107943, 17792, 104067, 20230, 126909, 30512, 43167, 62004, 100934, 112973, 22398, 91062, 78767, 11972, 102083, 126832, 115320, 64121, 53953, 38641, 1811, 110382, 77181, 5486, 22398, 91062, 78767, 11972, 109853, 112825, 110904, 20230, 126362, 109768, 50834, 33541, 9174, 567, 112562, 33671, 198, 567, 107384, 34171, 20230, 119436, 95221, 16144, 22398, 91062, 78767, 11972, 107118, 127091, 95532, 27929, 32977, 27929, 32977, 22398, 91062, 78767, 11972, 107118, 104405, 95604, 115320, 64121, 102944, 26854, 104865, 111476, 22398, 91062, 78767, 11972, 107118, 115132, 114740, 102404, 37705, 16144, 105988, 25005, 247, 67075, 103397, 16144, 47260, 116168, 45923, 116974, 38641, 1811, 48154, 61826, 111656, 103826, 15682, 76171, 45923, 16144, 32131, 26269, 120404, 19732, 117952, 106824, 61689, 9174, 105988, 25005, 247, 67075, 103397, 19732, 104655, 126145, 52591, 42634, 106240, 16073, 71289, 122908, 125596, 30512, 114284, 111179, 32149, 103854, 30369, 17792, 32977, 16995, 104533, 91763, 61689, 29295, 5486, 121953, 15682, 12870, 235, 117063, 38144, 115320, 104004, 117809, 16144, 115320, 64121, 53953, 113115, 39926, 22398, 91062, 78767, 11972, 15682, 12870, 235, 117063, 28713, 102212, 108171, 71289, 28873, 53953, 30512, 115320, 64121, 53953, 115717, 33541, 1811, 118899, 77181, 12870, 235, 117063, 100604, 16556, 21990, 16144, 110674, 38129, 54926, 19967, 31431, 24273, 32977, 89753, 23039, 59739, 59739, 57903, 33541, 9174, 102212, 108171, 30512, 58426, 110674, 33655, 30297, 102677, 105494, 29295, 22398, 91062, 78767, 11972, 29295, 126909, 16144, 114667, 38641, 1811, 22398, 91062, 78767, 115247, 19967, 31431, 24273, 15682, 102456, 103234, 30512, 101198, 62903, 118718, 112649, 107441, 19967, 30369, 103846, 102456, 53953, 103721, 232, 109205, 29295, 108618, 31431, 5486, 105755, 17039, 121200, 26854, 15308, 226, 113598, 30512, 18655, 30369, 105908, 125545, 109807, 113702, 5486, 113614, 71289, 58666, 37729, 105352, 126521, 117375, 30512, 32977, 127567, 39926, 124089, 16144, 38641, 1811, 15308, 226, 113598, 15682, 38129, 54926, 102456, 103234, 113468, 119448, 47884, 104721, 116547, 33541, 29295, 99046, 224, 31431, 106956, 15308, 226, 113598, 30512, 58254, 252, 76947, 102456, 103234, 30512, 102647, 103854, 30369, 109335, 22398, 91062, 78767, 115247, 27384, 112495, 39850, 37823, 67075, 72661, 57903, 33541, 118855, 5486, 115320, 64121, 53953, 26854, 105879, 103293, 72661, 46034, 117355, 20230, 99046, 224, 30369, 105908, 88367, 38641, 9174, 567, 80050, 91062, 78767, 11972, 103732, 47884, 33655, 126832, 102212, 108171, 5486, 28873, 53953, 198, 108936, 112535, 33655, 78183, 115032, 102212, 108171, 5486, 52591, 33710, 109089, 15682, 111476, 9458, 31809, 104500, 108171, 198, 9458, 118881, 33121, 25827, 105301, 198, 9458, 44971, 47307, 22398, 198, 9458, 80805, 64810, 37823, 198, 9458, 64810, 42634, 37823, 198, 9458, 103271, 100204, 27929, 198, 9458, 78459, 16073, 105621, 16073, 108171, 198, 9458, 118565, 26269, 47260, 102540, 198, 9458, 80805, 57326, 109896, 198, 9458, 53610, 108171, 198, 9458, 104149, 86894, 232, 198, 9458, 66953, 96452, 96452, 198, 9458, 112193, 11972, 103854, 31431, 11972, 198, 9458, 90962, 111999, 76428, 198, 9458, 41758, 44971, 107610, 52591, 33710, 109089, 198, 9458, 25197, 78459, 103621, 198, 9458, 32131, 78525, 102832, 102540, 198, 9458, 111817, 103621, 11972, 198, 9458, 22398, 25197, 71493, 198, 9458, 107805, 103621, 198, 9458, 123455, 198, 9458, 115895, 198, 9458, 80805, 25197, 96452, 103830, 33710, 198, 115717, 33541, 9174, 85701, 103378, 72661, 102971, 106391, 43240, 119064, 103214, 64121, 114146, 29295, 125545, 101832, 1811, 104004, 15024, 85791, 85701, 103378, 101182, 19732, 85707, 107436, 19967, 30369, 126513, 99849, 30512, 107960, 112371, 127567, 57980, 118544, 109440, 76947, 114732, 32149, 110241, 33121, 107515, 1811, 107943, 39177, 15682, 44971, 57207, 70563, 116229, 30512, 25038, 245, 102532, 64121, 30369, 123017, 104712, 123253, 1811, 22398, 91062, 78767, 11972, 15682, 43240, 119064, 44971, 57207, 70563, 29295, 80172, 83932, 110731, 105879, 121846, 116446, 19967, 76947, 64121, 17129, 109954, 9174, 567, 80050, 91062, 78767, 11972, 20230, 16937, 70141, 112495, 102456, 103234, 198, 116900, 20230, 5486, 102456, 103234, 113468, 15682, 22398, 91062, 78767, 11972, 20230, 16937, 70141, 112495, 102944, 32977, 57903, 33541, 9174, 99046, 224, 31431, 106956, 102212, 108171, 71289, 28873, 53953, 30512, 111764, 20230, 102647, 103854, 30369, 105908, 22398, 91062, 78767, 115247, 105465, 21105, 123, 72661, 57903, 33541, 29295, 22398, 91062, 78767, 11972, 102052, 16937, 70141, 50834, 103195, 102456, 103234, 115991, 33541, 1811, 117203, 104770, 5486, 16556, 25827, 2243, 115, 25827, 105284, 16144, 102212, 108171, 38641, 118844, 33503, 29295, 43240, 47884, 96412, 17129, 104028, 125764, 53953, 19732, 5486, 52591, 33710, 109089, 15682, 125764, 114146, 29295, 109161, 102334, 62004, 101921, 116, 32943, 16556, 102472, 22398, 29295, 36117, 250, 109709, 126172, 115737, 76947, 103801, 61689, 9174, 36668, 26854, 27452, 30512, 109415, 104533, 198, 9458, 20230, 25827, 100204, 25827, 198, 9458, 71493, 37823, 52591, 32131, 124049, 198, 9458, 96452, 22398, 198, 9458, 107391, 102832, 103223, 198, 9458, 90962, 107059, 198, 9458, 20251, 65299, 102494, 42634, 47260, 57207, 198, 9458, 108446, 117203, 198, 104309, 29295, 5486, 52591, 33710, 109089, 19732, 103214, 64121, 114146, 29295, 109161, 16995, 19732, 116216, 61689, 9174, 53900, 5486, 102212, 108171, 116749, 105352, 109022, 111528, 71289, 112673, 38248, 108, 108958, 15682, 47307, 115695, 29220, 105284, 16144, 117375, 16556, 127177, 15308, 226, 113598, 30512, 99046, 224, 112586, 47884, 47884, 39926, 114732, 8239, 114503, 32977, 101182, 103846, 61633, 29295, 109215, 38641, 9174, 567, 80050, 91062, 78767, 115247, 104091, 104770, 198, 44971, 57207, 70563, 116229, 104309, 121846, 20230, 112990, 68408, 103988, 84477, 22398, 91062, 78767, 38248, 226, 5486, 41758, 102540, 107446, 91062, 78767, 11972, 104309, 31195, 16995, 85791, 103171, 22398, 91062, 78767, 115247, 120613, 107407, 106046, 61689, 29295, 5486, 22398, 91062, 78767, 11972, 107809, 105352, 107960, 112371, 30369, 102456, 103234, 113468, 104091, 104770, 29295, 124500, 76947, 50834, 33541, 1811, 114652, 33655, 78183, 115032, 120613, 30512, 112825, 110904, 20230, 123011, 62004, 104533, 17297, 16144, 101200, 115717, 33541, 9174, 11144, 52591, 33710, 109089, 22398, 91062, 78767, 11972, 112479, 39850, 76171, 29295, 52591, 33710, 109089, 16556, 19732, 31431, 113334, 110631, 47884, 38144, 102765, 111331, 104195, 16995, 52591, 33710, 109089, 124905, 30297, 22398, 91062, 78767, 11972, 198, 11144, 41758, 102540, 107446, 91062, 78767, 11972, 112479, 39850, 76171, 29295, 41758, 102540, 113883, 104195, 16995, 103927, 65299, 111999, 102741, 65299, 5486, 102663, 64178, 104309, 124905, 30297, 22398, 91062, 78767, 11972, 198, 11144, 108768, 33710, 57207, 61398, 91062, 78767, 11972, 112479, 91482, 47307, 101198, 16073, 60868, 115507, 73590, 30512, 99046, 224, 30369, 31640, 78183, 112586, 109215, 26854, 15308, 226, 113598, 72238, 30512, 27327, 96455, 112535 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 114140, 39926, 33334, 47884, 105908, 107693, 38641, 9174, 53900, 5486, 89154, 38248, 104, 115247, 112345, 20230, 110284, 54926, 103846, 102052, 5486, 118192, 25005, 97, 11972, 103306, 16144, 22398, 62903, 33710, 71289, 53283, 109375, 32977, 109215, 38641, 1811, 89154, 38248, 104, 115247, 33710, 64178, 71289, 102669, 105838, 30512, 109809, 53283, 15024, 5486, 103350, 124299, 109904, 106613, 111186, 30512, 108882, 104004, 105908, 27384, 102769, 38641, 1811, 115541, 108710, 30512, 30358, 101832, 5486, 37026, 22023, 114792, 76947, 112345, 20230, 122678, 104004, 105908, 108608, 104466, 103801, 109954, 9174, 122270, 110745, 38093, 20230, 110284, 54926, 124122, 120999, 71289, 46034, 106307, 50834, 32977, 109215, 38641, 1811, 112345, 16144, 110284, 31634, 105904, 71289, 102782, 104526, 41007, 30512, 114140, 15024, 5486, 109215, 26854, 46034, 106307, 50834, 117824, 76947, 33334, 50834, 17129, 109954, 118855, 5486, 110284, 20230, 30591, 28713, 76947, 15682, 96356, 17620, 110322, 31958, 102181, 71289, 80805, 22398, 121057, 123160, 96356, 24186, 114140, 102181, 104770, 29295, 109215, 26854, 107803, 32977, 57903, 33541, 105879, 5486, 112727, 33121, 101860, 20230, 107253, 104874, 39926, 33334, 47884, 105908, 107693, 38641, 9174, 71689, 120950, 46034, 110480, 30512, 119870, 104004, 118733, 5486, 89154, 38248, 104, 115247, 22656, 75267, 113245, 112345, 20230, 110284, 54926, 105908, 125545, 1811, 112345, 20230, 110284, 54926, 104983, 102052, 5486, 116907, 16144, 22398, 62903, 33710, 71289, 53283, 109375, 30512, 76706, 123772, 5486, 102669, 105838, 112535, 57326, 110494, 54926, 105908, 19653, 111363, 112258, 113, 121711, 33541, 1811, 80988, 239, 105714, 76947, 20251, 109793, 73590, 16556, 104284, 43514, 113487, 47884, 106592, 30832, 64467, 103801, 109954, 106609, 567, 117082, 38248, 104, 115247, 33710, 64178, 30512, 106154, 30369, 113009, 61633, 17663, 125231, 120098, 15682, 57903, 33541, 32149, 198, 89154, 38248, 104, 115247, 33710, 64178, 30512, 106154, 30369, 113009, 61633, 17663, 125231, 120098, 112987, 47884, 59739, 32149, 57903, 33541, 1811, 126843, 5486, 89154, 38248, 104, 115247, 33710, 64178, 30512, 37656, 105184, 20230, 113954, 54926, 105908, 107693, 38641, 1811, 89154, 38248, 104, 11972, 15682, 103826, 104680, 26854, 66953, 37823, 76739, 38248, 115, 78205, 16073, 115991, 33541, 105879, 5486, 57326, 108748, 54926, 112772, 33710, 64178, 30512, 114140, 103801, 109954, 9174, 53900, 5486, 89154, 38248, 104, 11972, 15682, 104603, 68581, 16073, 112193, 112028, 83799, 107328, 38641, 105879, 5486, 109431, 102769, 26854, 83812, 255, 76622, 35330, 30512, 116700, 54926, 115789, 27384, 102769, 38641, 1811, 115364, 106613, 111587, 109904, 127749, 20230, 114146, 38144, 83812, 255, 105784, 35330, 109518, 30512, 104662, 62004, 17129, 109954, 9174, 122270, 5486, 89154, 38248, 104, 11972, 15682, 120007, 16144, 123120, 71289, 112741, 30512, 98499, 104004, 115789, 107693, 38641, 1811, 120007, 16144, 103672, 103857, 108994, 16073, 105621, 78767, 71289, 112741, 55031, 46034, 16144, 104195, 30813, 71289, 37689, 111629, 30512, 98499, 64121, 18655, 30369, 118733, 5486, 105755, 19361, 60632, 26854, 122225, 29295, 125545, 9174, 53900, 5486, 89154, 38248, 104, 11972, 15682, 102669, 105838, 109904, 114567, 38641, 105879, 5486, 115364, 46034, 116510, 71289, 103672, 65575, 16144, 127749, 20230, 106608, 100204, 28713, 102669, 105838, 30512, 121697, 30369, 115789, 109215, 38641, 1811, 120007, 16144, 112909, 98499, 64121, 106272, 5486, 115364, 46034, 16144, 104195, 30813, 30512, 112366, 48249, 20230, 21990, 32149, 17663, 57326, 108748, 30512, 64209, 115856, 76622, 17129, 109954, 9174, 114626, 20230, 5486, 89154, 38248, 104, 11972, 15682, 103768, 32977, 107693, 26854, 31634, 72238, 38641, 105879, 5486, 104284, 113529, 20230, 22957, 36785, 116547, 120195, 101860, 5486, 126407, 104004, 115789, 27384, 102769, 38641, 1811, 104284, 59739, 100909, 126036, 5486, 114567, 30512, 33035, 100204, 38144, 98915, 17792, 71289, 113850, 56965, 110792, 113841, 30512, 126407, 104004, 115789, 89154, 38248, 104, 115247, 105194, 235, 105194, 238, 103868, 38641, 9174, 71689, 29295, 5486, 89154, 38248, 104, 115247, 33710, 64178, 30512, 106154, 30369, 113009, 61633, 17663, 125231, 120098, 38641, 1811, 37656, 105184, 26854, 33710, 64178, 16144, 113954, 5486, 109431, 102769, 26854, 83812, 255, 76622, 35330, 16144, 116700, 5486, 120007, 16144, 123120, 16144, 98499, 64121, 108167, 5486, 102669, 105838, 109904, 57326, 108748, 5486, 80539, 126407, 104004, 106592, 64209, 115856, 76622, 17129, 109954, 9174, 14711, 117082, 38248, 104, 115247, 22656, 75267, 113245, 57326, 108748, 20230, 109215, 26854, 110794, 35330, 15682, 67645, 16144, 120264, 112130, 198, 89154, 38248, 104, 115247, 22656, 75267, 113245, 57326, 108748, 20230, 109215, 26854, 110794, 35330, 15682, 5486, 57326, 108748, 54926, 116245, 71289, 44971, 115882, 113468, 108901, 26854, 31431, 33541, 1811, 108936, 9554, 102052, 5486, 32335, 103167, 72661, 114392, 26854, 110794, 35330, 30512, 11883, 37689, 54926, 109215, 115991, 33541, 9174, 89154, 38248, 104, 115247, 22656, 75267, 113245, 57326, 108748, 102052, 5486, 88852, 120950, 31634, 72238, 29295, 116690, 39926, 50834, 33541, 9174, 16, 13, 106156, 84477, 5232, 57326, 108748, 54926, 57933, 109229, 114615, 44971, 84477, 113468, 5486, 109215, 26854, 110794, 35330, 29295, 104721, 116547, 33541, 1811, 45736, 44971, 84477, 16144, 57933, 121294, 77181, 5486, 105755, 43240, 119064, 110794, 35330, 29295, 109215, 115717, 33541, 9174, 17, 13, 109887, 108748, 105335, 106696, 5232, 115364, 57326, 108748, 105335, 106696, 20230, 114146, 38144, 5486, 110794, 35330, 30512, 104873, 64531, 54926, 109215, 115991, 33541, 1811, 39880, 41758, 44971, 26269, 57207, 52884, 26854, 57326, 108748, 105335, 106696, 30512, 53901, 104004, 126513, 5486, 105755, 43240, 119064, 110794, 35330, 29295, 109215, 108176, 123253, 9174, 18, 13, 109228, 16073, 110305, 64178, 40452, 5232, 89154, 38248, 104, 11972, 16556, 19653, 54926, 103846, 102052, 5486, 109431, 102769, 26854, 66953, 16073, 110305, 64178, 40452, 29295, 107693, 38641, 1811, 115364, 57326, 108748, 105335, 106696, 71289, 106613, 111186, 20230, 114146, 38144, 5486, 110794, 35330, 30512, 40452, 54926, 109215, 115991, 33541, 9174, 19, 13, 113545, 109229, 114615, 66378, 34171, 5232, 57326, 108748, 54926, 57933, 109229, 114615, 66378, 34171, 32977, 110794, 35330, 20230, 117375, 30512, 58318, 58942, 33541, 1811, 57933, 109229, 114615, 57326, 108748, 104930, 115247, 22398, 62903, 33710, 44971, 115882, 71289, 101427, 122, 70141, 30512, 78698, 101557, 106, 15024, 5486, 110794, 35330, 30512, 104873, 64531, 54926, 109215, 115991, 33541, 9174, 71689, 16144, 31634, 72238, 30512, 78698, 101557, 106, 39926, 5486, 89154, 38248, 104, 115247, 22656, 75267, 113245, 57326, 108748, 20230, 109215, 26854, 110794, 35330, 30512, 104662, 109315, 105908, 107693, 38641, 1811, 115364, 57326, 108748, 105335, 106696, 71289, 106613, 111186, 20230, 114146, 38144, 5486, 109431, 102769, 26854, 110794, 35330, 30512, 11883, 37689, 103801, 109954, 1811, 128001, 128000, 30591, 112568, 15682, 5486, 103572, 38574, 16144, 104654, 16556, 66953, 119930, 103424, 47884, 15308, 226, 113598, 30512, 18655, 115032, 123253, 32149, 9174, 121410, 117073, 66953, 119930, 30512, 64209, 29295, 107441, 18655, 30369, 109335, 5486, 37689, 109375, 30512, 39926, 102532, 32977, 111108, 102800, 100909, 36785, 106046, 61689, 1811, 103572, 38574, 16144, 104654, 77181, 15308, 226, 113598, 29295, 104405, 120837, 127242, 29295, 43514, 117084, 103801, 16995, 5486, 117178, 112624, 71289, 58666, 37729, 5486, 116907, 16144, 113614, 20230, 117375, 125334, 38144, 103801, 103836, 17792, 32977, 107991, 32149, 110241, 33121, 107515, 1811, 107943, 17792, 104067, 20230, 126909, 30512, 43167, 62004, 100934, 112973, 22398, 91062, 78767, 11972, 102083, 126832, 115320, 64121, 53953, 38641, 1811, 110382, 77181, 5486, 22398, 91062, 78767, 11972, 109853, 112825, 110904, 20230, 126362, 109768, 50834, 33541, 9174, 567, 112562, 33671, 198, 567, 107384, 34171, 20230, 119436, 95221, 16144, 22398, 91062, 78767, 11972, 107118, 127091, 95532, 27929, 32977, 27929, 32977, 22398, 91062, 78767, 11972, 107118, 104405, 95604, 115320, 64121, 102944, 26854, 104865, 111476, 22398, 91062, 78767, 11972, 107118, 115132, 114740, 102404, 37705, 16144, 105988, 25005, 247, 67075, 103397, 16144, 47260, 116168, 45923, 116974, 38641, 1811, 48154, 61826, 111656, 103826, 15682, 76171, 45923, 16144, 32131, 26269, 120404, 19732, 117952, 106824, 61689, 9174, 105988, 25005, 247, 67075, 103397, 19732, 104655, 126145, 52591, 42634, 106240, 16073, 71289, 122908, 125596, 30512, 114284, 111179, 32149, 103854, 30369, 17792, 32977, 16995, 104533, 91763, 61689, 29295, 5486, 121953, 15682, 12870, 235, 117063, 38144, 115320, 104004, 117809, 16144, 115320, 64121, 53953, 113115, 39926, 22398, 91062, 78767, 11972, 15682, 12870, 235, 117063, 28713, 102212, 108171, 71289, 28873, 53953, 30512, 115320, 64121, 53953, 115717, 33541, 1811, 118899, 77181, 12870, 235, 117063, 100604, 16556, 21990, 16144, 110674, 38129, 54926, 19967, 31431, 24273, 32977, 89753, 23039, 59739, 59739, 57903, 33541, 9174, 102212, 108171, 30512, 58426, 110674, 33655, 30297, 102677, 105494, 29295, 22398, 91062, 78767, 11972, 29295, 126909, 16144, 114667, 38641, 1811, 22398, 91062, 78767, 115247, 19967, 31431, 24273, 15682, 102456, 103234, 30512, 101198, 62903, 118718, 112649, 107441, 19967, 30369, 103846, 102456, 53953, 103721, 232, 109205, 29295, 108618, 31431, 5486, 105755, 17039, 121200, 26854, 15308, 226, 113598, 30512, 18655, 30369, 105908, 125545, 109807, 113702, 5486, 113614, 71289, 58666, 37729, 105352, 126521, 117375, 30512, 32977, 127567, 39926, 124089, 16144, 38641, 1811, 15308, 226, 113598, 15682, 38129, 54926, 102456, 103234, 113468, 119448, 47884, 104721, 116547, 33541, 29295, 99046, 224, 31431, 106956, 15308, 226, 113598, 30512, 58254, 252, 76947, 102456, 103234, 30512, 102647, 103854, 30369, 109335, 22398, 91062, 78767, 115247, 27384, 112495, 39850, 37823, 67075, 72661, 57903, 33541, 118855, 5486, 115320, 64121, 53953, 26854, 105879, 103293, 72661, 46034, 117355, 20230, 99046, 224, 30369, 105908, 88367, 38641, 9174, 567, 80050, 91062, 78767, 11972, 103732, 47884, 33655, 126832, 102212, 108171, 5486, 28873, 53953, 198, 108936, 112535, 33655, 78183, 115032, 102212, 108171, 5486, 52591, 33710, 109089, 15682, 111476, 9458, 31809, 104500, 108171, 198, 9458, 118881, 33121, 25827, 105301, 198, 9458, 44971, 47307, 22398, 198, 9458, 80805, 64810, 37823, 198, 9458, 64810, 42634, 37823, 198, 9458, 103271, 100204, 27929, 198, 9458, 78459, 16073, 105621, 16073, 108171, 198, 9458, 118565, 26269, 47260, 102540, 198, 9458, 80805, 57326, 109896, 198, 9458, 53610, 108171, 198, 9458, 104149, 86894, 232, 198, 9458, 66953, 96452, 96452, 198, 9458, 112193, 11972, 103854, 31431, 11972, 198, 9458, 90962, 111999, 76428, 198, 9458, 41758, 44971, 107610, 52591, 33710, 109089, 198, 9458, 25197, 78459, 103621, 198, 9458, 32131, 78525, 102832, 102540, 198, 9458, 111817, 103621, 11972, 198, 9458, 22398, 25197, 71493, 198, 9458, 107805, 103621, 198, 9458, 123455, 198, 9458, 115895, 198, 9458, 80805, 25197, 96452, 103830, 33710, 198, 115717, 33541, 9174, 85701, 103378, 72661, 102971, 106391, 43240, 119064, 103214, 64121, 114146, 29295, 125545, 101832, 1811, 104004, 15024, 85791, 85701, 103378, 101182, 19732, 85707, 107436, 19967, 30369, 126513, 99849, 30512, 107960, 112371, 127567, 57980, 118544, 109440, 76947, 114732, 32149, 110241, 33121, 107515, 1811, 107943, 39177, 15682, 44971, 57207, 70563, 116229, 30512, 25038, 245, 102532, 64121, 30369, 123017, 104712, 123253, 1811, 22398, 91062, 78767, 11972, 15682, 43240, 119064, 44971, 57207, 70563, 29295, 80172, 83932, 110731, 105879, 121846, 116446, 19967, 76947, 64121, 17129, 109954, 9174, 567, 80050, 91062, 78767, 11972, 20230, 16937, 70141, 112495, 102456, 103234, 198, 116900, 20230, 5486, 102456, 103234, 113468, 15682, 22398, 91062, 78767, 11972, 20230, 16937, 70141, 112495, 102944, 32977, 57903, 33541, 9174, 99046, 224, 31431, 106956, 102212, 108171, 71289, 28873, 53953, 30512, 111764, 20230, 102647, 103854, 30369, 105908, 22398, 91062, 78767, 115247, 105465, 21105, 123, 72661, 57903, 33541, 29295, 22398, 91062, 78767, 11972, 102052, 16937, 70141, 50834, 103195, 102456, 103234, 115991, 33541, 1811, 117203, 104770, 5486, 16556, 25827, 2243, 115, 25827, 105284, 16144, 102212, 108171, 38641, 118844, 33503, 29295, 43240, 47884, 96412, 17129, 104028, 125764, 53953, 19732, 5486, 52591, 33710, 109089, 15682, 125764, 114146, 29295, 109161, 102334, 62004, 101921, 116, 32943, 16556, 102472, 22398, 29295, 36117, 250, 109709, 126172, 115737, 76947, 103801, 61689, 9174, 36668, 26854, 27452, 30512, 109415, 104533, 198, 9458, 20230, 25827, 100204, 25827, 198, 9458, 71493, 37823, 52591, 32131, 124049, 198, 9458, 96452, 22398, 198, 9458, 107391, 102832, 103223, 198, 9458, 90962, 107059, 198, 9458, 20251, 65299, 102494, 42634, 47260, 57207, 198, 9458, 108446, 117203, 198, 104309, 29295, 5486, 52591, 33710, 109089, 19732, 103214, 64121, 114146, 29295, 109161, 16995, 19732, 116216, 61689, 9174, 53900, 5486, 102212, 108171, 116749, 105352, 109022, 111528, 71289, 112673, 38248, 108, 108958, 15682, 47307, 115695, 29220, 105284, 16144, 117375, 16556, 127177, 15308, 226, 113598, 30512, 99046, 224, 112586, 47884, 47884, 39926, 114732, 8239, 114503, 32977, 101182, 103846, 61633, 29295, 109215, 38641, 9174, 567, 80050, 91062, 78767, 115247, 104091, 104770, 198, 44971, 57207, 70563, 116229, 104309, 121846, 20230, 112990, 68408, 103988, 84477, 22398, 91062, 78767, 38248, 226, 5486, 41758, 102540, 107446, 91062, 78767, 11972, 104309, 31195, 16995, 85791, 103171, 22398, 91062, 78767, 115247, 120613, 107407, 106046, 61689, 29295, 5486, 22398, 91062, 78767, 11972, 107809, 105352, 107960, 112371, 30369, 102456, 103234, 113468, 104091, 104770, 29295, 124500, 76947, 50834, 33541, 1811, 114652, 33655, 78183, 115032, 120613, 30512, 112825, 110904, 20230, 123011, 62004, 104533, 17297, 16144, 101200, 115717, 33541, 9174, 11144, 52591, 33710, 109089, 22398, 91062, 78767, 11972, 112479, 39850, 76171, 29295, 52591, 33710, 109089, 16556, 19732, 31431, 113334, 110631, 47884, 38144, 102765, 111331, 104195, 16995, 52591, 33710, 109089, 124905, 30297, 22398, 91062, 78767, 11972, 198, 11144, 41758, 102540, 107446, 91062, 78767, 11972, 112479, 39850, 76171, 29295, 41758, 102540, 113883, 104195, 16995, 103927, 65299, 111999, 102741, 65299, 5486, 102663, 64178, 104309, 124905, 30297, 22398, 91062, 78767, 11972, 198, 11144, 108768, 33710, 57207, 61398, 91062, 78767, 11972, 112479, 91482, 47307, 101198, 16073, 60868, 115507, 73590, 30512, 99046, 224, 30369, 31640, 78183, 112586, 109215, 26854, 15308, 226, 113598, 72238, 30512, 27327, 96455, 112535 ]
[ 109683, 26854, 53953, 55031, 108167, 17701, 104028, 104466, 56051, 22398, 91062, 78767, 11972, 198, 11144, 124807, 76739, 67075, 22398, 91062, 78767, 11972, 112479, 120843, 117587, 30512, 43955, 72342, 101860, 35894, 113351, 99750, 30512, 126128, 105262, 105933, 96452, 123428, 5486, 57207, 65575, 104770, 124905, 16995, 5486, 100783, 239, 108104, 5486, 47260, 25005, 240, 11972, 123160, 71493, 111661, 76171, 17701, 112586, 54926, 100909, 113468, 17039, 118741, 31640, 118835, 30512, 109415, 102456, 111654, 30512, 126128, 105262, 8239, 114503, 107407, 22398, 91062, 78767, 11972, 10110, 30591, 109709, 165, 72581, 17857, 239, 64121, 20230, 72342, 101860, 31195, 49838, 23954, 11144, 68408, 103988, 84477, 22398, 91062, 78767, 11972, 112479, 111090, 22398, 107167, 103202, 5486, 57207, 42634, 103830, 104309, 117587, 17620, 29295, 21601, 58942, 110071, 1811, 43240, 119064, 44971, 57207, 70563, 22656, 16144, 22398, 91062, 78767, 11972, 102052, 111528, 105107, 25446, 5486, 117587, 17620, 29295, 124629, 68408, 103988, 84477, 30512, 115320, 64121, 53953, 16144, 103826, 20230, 56051, 22398, 91062, 78767, 11972, 29295, 127181, 10110, 85701, 120577, 43240, 119064, 126465, 15682, 122908, 125596, 19732, 103868, 29295, 50667, 102800, 23954, 51330, 16325, 72661, 113614, 71289, 58666, 37729, 8239, 114503, 5486, 15308, 226, 113598, 29295, 15120, 87217, 125494, 107001, 104468, 41758, 102540, 107446, 91062, 78767, 11972, 123253, 9174, 87177, 104482, 20230, 107001, 123017, 41758, 102540, 107446, 91062, 78767, 11972, 97518, 89046, 29295, 127181, 106046, 123671, 33541, 1811, 113614, 113173, 16556, 99046, 224, 31431, 106956, 24273, 15682, 109440, 124059, 41758, 102540, 107446, 91062, 78767, 11972, 30512, 106081, 39926, 64121, 17129, 109954, 9174, 121846, 128001, 128000, 123524, 47095, 60174, 10110, 104328, 62004, 100204, 100204, 107106, 119735, 5486, 104443, 107086, 72099, 123524, 47095, 23530, 10110, 76750, 118368, 29504, 117831, 101778, 107159, 123524, 47095, 7705, 20230, 105693, 60174, 9174, 70277, 109076, 113146, 85707, 23538, 20230, 26892, 38144, 109115, 36827, 106154, 71289, 162, 104, 241, 50667, 16144, 105572, 127178, 53953, 29295, 102321, 25359, 15024, 5486, 108152, 102750, 118283, 16144, 102616, 115514, 106518, 71289, 102433, 125525, 115612, 102512, 122561, 104856, 103836, 1811, 102433, 30813, 126910, 13372, 32938, 1041, 102647, 20230, 102647, 23187, 110731, 9174, 123524, 47095, 60174, 61786, 16144, 113692, 15682, 5486, 122088, 101701, 46729, 104915, 16144, 10890, 104, 107571, 111476, 103633, 123524, 106644, 107277, 16144, 116245, 109807, 110968, 162, 104, 241, 16144, 60174, 48915, 110366, 15682, 111044, 16, 56965, 16144, 127103, 17297, 29295, 103664, 8273, 76, 89046, 26854, 76947, 108086, 13177, 102718, 56965, 127103, 17297, 66383, 127173, 115032, 1811, 60174, 48915, 121254, 107441, 102465, 102936, 19732, 15024, 71289, 101462, 255, 56965, 5486, 109673, 127363, 16144, 124623, 20834, 119432, 91739, 241, 32977, 47000, 102332, 110731, 1811, 60174, 32943, 110366, 15682, 126495, 58850, 104067, 16144, 114834, 107407, 9174, 61786, 16144, 113692, 16144, 33208, 90397, 100, 162, 104, 241, 15682, 5486, 103633, 123524, 29295, 112427, 75513, 16144, 106984, 94, 71208, 9458, 112427, 106145, 20230, 101477, 123, 125639, 54926, 104983, 16144, 33208, 90397, 100, 42506, 605, 32307, 102465, 16556, 10718, 23, 8107, 10110, 24186, 34208, 19, 8107, 7705, 20230, 26892, 38144, 109115, 102944, 103195, 1811, 102669, 123628, 23951, 22649, 17129, 77181, 5486, 33208, 90397, 100, 162, 104, 241, 102052, 58426, 13372, 16144, 121640, 40265, 125344, 33208, 90397, 100, 25446, 16144, 122561, 29295, 108618, 106358, 102677, 9174, 61786, 24273, 102052, 5486, 103633, 123524, 29295, 18, 97049, 16556, 106984, 94, 71208, 30512, 21388, 100472, 74482, 112160, 46729, 16144, 118095, 15308, 226, 30512, 112622, 76947, 114690, 56051, 102083, 126832, 71208, 58911, 103633, 123524, 36827, 112624, 106496, 29295, 103192, 109315, 1811, 103633, 123524, 29295, 103293, 118705, 5486, 61786, 16144, 113692, 101544, 91077, 16144, 127103, 17297, 55031, 36827, 112624, 106496, 30512, 30250, 98, 26955, 251, 107113, 19732, 116216, 108086, 5486, 110382, 117758, 104346, 86354, 30512, 117039, 125030, 76947, 198, 120988, 115351, 16144, 75293, 43514, 101682, 76622, 20230, 112990, 5486, 123524, 48634, 29295, 122060, 54926, 102677, 9174, 123524, 47095, 60174, 36827, 106154, 34273, 96, 16144, 32335, 17905, 106090, 102052, 198, 113293, 34048, 101365, 61337, 10110, 33334, 30813, 32149, 103854, 100204, 25827, 104446, 7705, 29295, 55228, 222, 125398, 1811, 123524, 47095, 60174, 113638, 60174, 117382, 105755, 51330, 30590, 20230, 55228, 222, 124195, 108086, 5486, 123524, 47095, 60174, 36668, 115287, 27384, 13372, 5486, 104500, 50211, 103293, 100543, 102, 29295, 106633, 102697, 16144, 51609, 112212, 25580, 106554, 60174, 102416, 60634, 100472, 104983, 5486, 112599, 16144, 104336, 103803, 72099, 25580, 106554, 23530, 117083, 101544, 110426, 101365, 61337, 124259, 60634, 103646, 29295, 5486, 112599, 32977, 123524, 47095, 60174, 16144, 80805, 102756, 61398, 89154, 67075, 19732, 117952, 115032, 9174, 76750, 55139, 9444, 123, 102571, 121536, 20230, 17129, 59739, 78183, 30369, 13177, 198, 33334, 86894, 232, 103932, 109076, 66383, 95604, 107407, 122262, 86894, 232, 15682, 58850, 22398, 80805, 25197, 103351, 29295, 37656, 33014, 29295, 66953, 44971, 38144, 9444, 123, 16144, 27869, 249, 21388, 30512, 114667, 20230, 102334, 104369, 102204, 114626, 15682, 103932, 109076, 20230, 80172, 102639, 15017, 101, 38144, 109115, 9174, 60174, 32943, 120938, 58911, 70349, 113692, 19732, 127173, 104028, 108285, 75267, 117083, 118133, 86894, 232, 103932, 109076, 10646, 15682, 36896, 76750, 55139, 9444, 123, 102571, 121536, 10646, 20230, 120955, 54926, 103932, 109076, 36785, 102083, 78183, 115032, 1811, 105243, 37656, 8107, 56965, 5486, 60174, 36668, 9458, 31809, 108553, 108630, 107430, 16144, 116043, 112607, 9458, 103271, 58911, 109673, 58911, 29295, 60174, 16144, 110498, 42891, 108167, 30512, 82420, 55723, 118844, 20230, 95221, 109669, 102334, 112427, 113524, 16144, 105060, 17925, 254, 24186, 22023, 15682, 5486, 103926, 100525, 122, 112197, 86894, 232, 30512, 103271, 58911, 46729, 20230, 58850, 16325, 103306, 37705, 31431, 121423, 5486, 127122, 105037, 222, 30512, 110665, 102334, 119520, 5486, 103271, 58911, 15120, 46729, 16144, 105037, 222, 95543, 15682, 19653, 15024, 106116, 74482, 103271, 58911, 46729, 20230, 108618, 106358, 33334, 86894, 232, 15682, 102865, 117027, 119375, 64803, 104703, 20230, 37656, 33014, 30512, 95221, 109669, 32149, 106824, 114732, 1811, 119375, 64803, 104703, 15682, 77693, 30512, 16555, 122, 20230, 126326, 30512, 117598, 30369, 29295, 120853, 123606, 5486, 113351, 30512, 121697, 28713, 119375, 64803, 104703, 15682, 46729, 104734, 16144, 9444, 123, 605, 109577, 16144, 117591, 16, 109577, 30512, 125062, 15024, 108948, 86894, 232, 16144, 16937, 27704, 106968, 103306, 113160, 62004, 108055, 39926, 103932, 109076, 20230, 80172, 102639, 104526, 102189, 109900, 55031, 102677, 102944, 121410, 103309, 36896, 16, 109577, 5486, 17, 109577, 1981, 10646, 19732, 9444, 123, 30512, 9039, 105262, 33334, 86894, 232, 16144, 116292, 21105, 240, 26854, 71174, 29295, 103932, 109076, 55031, 104655, 22957, 105262, 101200, 110276, 102677, 9174, 58426, 74482, 5486, 24186, 22023, 33503, 112427, 113524, 113468, 109673, 58911, 15120, 103868, 15682, 121143, 109416, 84389, 108948, 86894, 232, 15682, 13177, 102572, 86894, 232, 27384, 31958, 101365, 66383, 39926, 198, 114093, 32938, 101365, 61337, 16144, 103496, 32943, 117083, 33334, 86894, 232, 101365, 61337, 20230, 55228, 222, 125398, 1811, 128001, 128000, 113000, 105065, 16144, 57207, 106240, 16073, 32977, 105721, 116547, 5486, 105343, 107792, 15682, 17663, 42891, 107277, 113786, 16144, 103826, 50021, 38641, 1811, 121299, 107430, 108553, 94923, 77181, 89408, 32977, 23951, 23039, 16144, 39177, 107792, 121711, 79721, 1811, 46091, 103633, 107591, 26955, 251, 16556, 101961, 8107, 56965, 16144, 64209, 16144, 101037, 95, 30512, 21105, 96, 107277, 102936, 103306, 16995, 47884, 32938, 25359, 38641, 1811, 114652, 13177, 23951, 23039, 16325, 15682, 119630, 30512, 78698, 107290, 61689, 32149, 91006, 102677, 105284, 99397, 115991, 33541, 1811, 103899, 58942, 15682, 59999, 100, 20135, 114, 57980, 76947, 108010, 61689, 29295, 115408, 15682, 13177, 51330, 123953, 220, 67645, 33121, 108680, 16144, 13153, 101544, 29295, 103082, 28713, 32149, 115188, 19732, 37026, 99397, 37026, 103899, 30512, 21105, 97, 59739, 78052, 120, 26955, 251, 109156, 31431, 33541, 9174, 13153, 101544, 107118, 19524, 48915, 20230, 37689, 109375, 30512, 70141, 76622, 5486, 43511, 20230, 67645, 33121, 108680, 117375, 30512, 58318, 107800, 32149, 863, 112031, 5486, 109359, 40053, 13177, 13153, 101544, 104023, 26955, 94, 27384, 66383, 15017, 231, 58942, 33541, 29295, 115408, 125030, 76947, 16144, 13153, 101544, 15682, 32943, 109020, 102944, 38641, 1811, 104599, 13773, 254, 15682, 198, 863, 53953, 30926, 16144, 6708, 228, 15024, 30512, 16995, 111201, 112391, 18655, 103468, 32149, 863, 108911, 13153, 101544, 118816, 100927, 107290, 17297, 65316, 79721, 66327, 6708, 228, 15024, 66383, 15682, 5486, 53953, 30926, 29295, 125119, 31431, 120550, 95221, 55487, 95371, 16995, 61689, 29295, 108149, 33503, 106644, 30369, 114516, 16144, 112415, 15682, 110371, 6708, 228, 15024, 104088, 110993, 62004, 110071, 101200, 101983, 104533, 5486, 120007, 16144, 91875, 50834, 30512, 15120, 112661, 103856, 47884, 103911, 108867, 103082, 104533, 22398, 91062, 106240, 20230, 30926, 29295, 103768, 102802, 33541, 118855, 118133, 9458, 32977, 9458, 38144, 9458, 26854, 9458, 15024, 66383, 95604, 112690, 29295, 89753, 23039, 102158, 27384, 108363, 115717, 79721, 29295, 115847, 32977, 120007, 16144, 64209, 16144, 13177, 6708, 228, 15024, 116326, 64209, 16144, 121894, 7705, 30512, 72238, 103856, 47884, 105085, 53283, 108608, 106556, 38641, 1811, 59999, 100, 20135, 114, 15682, 116056, 19524, 105085, 54926, 48634, 863, 108911, 109215, 36785, 119150, 16144, 38641, 9174, 33334, 108553, 16144, 104654, 15682, 110371, 13177, 6708, 228, 15024, 118587, 112391, 30369, 115924, 53901, 16144, 23951, 23039, 75267, 38641, 1811, 103293, 15682, 33334, 114731, 62004, 71289, 19012, 225, 21418, 55031, 27704, 109709, 33541, 29295, 106116, 39177, 107792, 16144, 35894, 95221, 71289, 53610, 16144, 106142, 28713, 30813, 5486, 111398, 76505, 16144, 39135, 109669, 50834, 27479, 40862, 16995, 50667, 5486, 37046, 104680, 15682, 54597, 96, 107792, 16144, 30297, 59739, 85791, 117714, 105933, 50034, 115590, 26854, 102944, 30512, 112391, 106272, 104654, 30512, 127145, 1811, 108895, 16995, 100472, 96356, 60358, 26854, 120266, 37689, 109375, 30512, 70141, 76622, 106272, 123726, 30369, 118733, 108061, 253, 34171, 29295, 101772, 105557, 105444, 226, 17129, 84389, 5486, 104328, 102532, 15682, 13177, 6708, 228, 15024, 10646, 29295, 91774, 107290, 109749, 16144, 38641, 9174, 61826, 9080, 5486, 114181, 101426, 65854, 55031, 13177, 104509, 32943, 29295, 117759, 16995, 76864, 19732, 33334, 5877, 109, 31431, 114475, 76622, 79721, 119520, 5486, 113786, 112197, 108553, 15682, 117759, 117714, 38641, 31195, 10110, 49838, 75376, 102321, 31640, 116537, 125781, 109431, 26854, 104654, 20230, 101557, 96, 33121, 120195, 5486, 105343, 107792, 16144, 31809, 30813, 26854, 104721, 33208, 20230, 37689, 109375, 30512, 70141, 76622, 5486, 104940, 102802, 30512, 103868, 78183, 119841, 114754, 115079, 58942, 100934, 104466, 112391, 33541, 66327, 13153, 101544, 104023, 26955, 94, 27384, 117503, 50338, 13393, 230, 15682, 5486, 53953, 105284, 109904, 119515, 32149, 30813, 63415, 102395, 109431, 30813, 107294, 105722, 31431, 33541, 29295, 106116, 112772, 114599, 30926, 16144, 31809, 30813, 26854, 13177, 6708, 228, 15024, 118587, 112391, 19732, 31431, 5486, 9080, 40053, 20230, 99750, 118835, 108608, 64209, 30512, 113598, 107462, 47884, 115789, 101678, 30926, 26854, 13153, 101544, 220, 36785, 106046, 61689, 1811, 40862, 114666, 128001, 128000, 567, 105729, 114483, 91482, 109496, 198, 567, 103774, 104983, 113841, 105617, 112296, 30926, 101544, 103036, 114035, 59243, 101908, 105514, 198, 102433, 16144, 106581, 15682, 102616, 16144, 103087, 106518, 5486, 121655, 104043, 37026, 22023, 114792, 59739, 125231, 38641, 198, 107420, 106384, 64178, 198, 7285, 23, 8107, 21990, 123606, 1811, 111344, 102667, 25333, 48864, 34048, 124305, 101275, 5486, 127515, 102663, 16073, 124366, 26269, 76428, 102667, 106613, 111587, 48864, 34048, 124305, 101275, 1811, 48915, 102781, 66870, 106581, 113841, 34048, 101544, 5486, 106613, 111587, 91077, 101544, 5486, 48915, 102781, 117859, 104760, 102078, 50667, 30512, 114172, 49988, 5486, 126202, 102832, 20251, 96452, 91062, 27384, 33655, 5486, 126202, 116137, 29504, 27384, 33655, 5486, 126202, 52591, 119930, 27384, 33655, 30512, 102781, 109315, 1811, 1049, 18, 8107, 105755, 127123, 113841, 105617, 22649, 30926, 101544, 1811, 103271, 58911, 106424, 102667, 115612, 117662, 116891, 5486, 80195, 51609, 104517, 102667, 65854, 102351, 116891, 9174, 48915, 102781, 66870, 19000, 108847, 113146, 102052, 5486, 106581, 113841, 113096, 103130, 16144, 113009, 116898, 85791, 16995, 85791, 26854, 29504, 16556, 13177, 106581, 120690, 118587, 19967, 30369, 104309, 5486, 127123, 113841, 16144, 76171, 52591, 32131, 64531, 104874, 117824, 76947, 22957, 109115, 31809, 114035, 105514, 1811, 56906, 102078, 74482, 15682, 102667, 16556, 100927, 111896, 255, 30512, 118935, 31431, 106272, 5486, 112599, 15682, 127123, 113841, 105617, 16144, 22649, 30926, 101544, 20230, 123532, 30926, 15024, 123085, 106581, 30512, 102616, 102416, 102404, 103130, 15024, 106307, 76622, 100934, 31809, 114035, 105514, 107898, 87177, 126130, 17885, 118, 16995, 121256, 9174, 12, 112562, 33671, 198, 12, 45631, 102616, 16144, 50211, 34208, 20230, 80631, 95, 112500, 120837, 33503, 102334, 16995, 126557, 107943, 104503, 16144, 112690, 55031, 48915, 102781, 66870, 16144, 45893, 102416, 198, 12, 105180, 16144, 106581, 9554, 108044, 105156, 15682, 5486, 102616, 16556, 17620, 32149, 43514, 40862, 30297, 125231, 102944, 198, 12, 105180, 106581, 30512, 102616, 20230, 27699, 116, 108950, 124545, 113009, 123085, 102158, 16144, 103572, 82317, 19732, 102473, 112919, 101662, 13153, 20230, 26130, 48634, 198, 14711, 127365, 16144, 50211, 34208, 20230, 80631, 95, 112500, 120837, 33503, 102334, 16995, 10646, 107943, 111656, 104503, 16144, 112690, 55031, 48915, 102781, 66870, 16144, 45893, 102416, 198, 101634, 58911, 198, 31809, 114035, 117940, 48915, 102781, 66870, 16144, 48154, 20834, 96356, 19732, 33334, 104655, 50834, 121256, 29295, 5486, 27929, 112384, 109156, 66870, 84389, 101200, 106046, 100472, 50834, 42891, 126929, 15682, 67645, 120950, 102944, 103351, 105879, 109954, 32149, 9174 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 109683, 26854, 53953, 55031, 108167, 17701, 104028, 104466, 56051, 22398, 91062, 78767, 11972, 198, 11144, 124807, 76739, 67075, 22398, 91062, 78767, 11972, 112479, 120843, 117587, 30512, 43955, 72342, 101860, 35894, 113351, 99750, 30512, 126128, 105262, 105933, 96452, 123428, 5486, 57207, 65575, 104770, 124905, 16995, 5486, 100783, 239, 108104, 5486, 47260, 25005, 240, 11972, 123160, 71493, 111661, 76171, 17701, 112586, 54926, 100909, 113468, 17039, 118741, 31640, 118835, 30512, 109415, 102456, 111654, 30512, 126128, 105262, 8239, 114503, 107407, 22398, 91062, 78767, 11972, 10110, 30591, 109709, 165, 72581, 17857, 239, 64121, 20230, 72342, 101860, 31195, 49838, 23954, 11144, 68408, 103988, 84477, 22398, 91062, 78767, 11972, 112479, 111090, 22398, 107167, 103202, 5486, 57207, 42634, 103830, 104309, 117587, 17620, 29295, 21601, 58942, 110071, 1811, 43240, 119064, 44971, 57207, 70563, 22656, 16144, 22398, 91062, 78767, 11972, 102052, 111528, 105107, 25446, 5486, 117587, 17620, 29295, 124629, 68408, 103988, 84477, 30512, 115320, 64121, 53953, 16144, 103826, 20230, 56051, 22398, 91062, 78767, 11972, 29295, 127181, 10110, 85701, 120577, 43240, 119064, 126465, 15682, 122908, 125596, 19732, 103868, 29295, 50667, 102800, 23954, 51330, 16325, 72661, 113614, 71289, 58666, 37729, 8239, 114503, 5486, 15308, 226, 113598, 29295, 15120, 87217, 125494, 107001, 104468, 41758, 102540, 107446, 91062, 78767, 11972, 123253, 9174, 87177, 104482, 20230, 107001, 123017, 41758, 102540, 107446, 91062, 78767, 11972, 97518, 89046, 29295, 127181, 106046, 123671, 33541, 1811, 113614, 113173, 16556, 99046, 224, 31431, 106956, 24273, 15682, 109440, 124059, 41758, 102540, 107446, 91062, 78767, 11972, 30512, 106081, 39926, 64121, 17129, 109954, 9174, 121846, 128001, 128000, 123524, 47095, 60174, 10110, 104328, 62004, 100204, 100204, 107106, 119735, 5486, 104443, 107086, 72099, 123524, 47095, 23530, 10110, 76750, 118368, 29504, 117831, 101778, 107159, 123524, 47095, 7705, 20230, 105693, 60174, 9174, 70277, 109076, 113146, 85707, 23538, 20230, 26892, 38144, 109115, 36827, 106154, 71289, 162, 104, 241, 50667, 16144, 105572, 127178, 53953, 29295, 102321, 25359, 15024, 5486, 108152, 102750, 118283, 16144, 102616, 115514, 106518, 71289, 102433, 125525, 115612, 102512, 122561, 104856, 103836, 1811, 102433, 30813, 126910, 13372, 32938, 1041, 102647, 20230, 102647, 23187, 110731, 9174, 123524, 47095, 60174, 61786, 16144, 113692, 15682, 5486, 122088, 101701, 46729, 104915, 16144, 10890, 104, 107571, 111476, 103633, 123524, 106644, 107277, 16144, 116245, 109807, 110968, 162, 104, 241, 16144, 60174, 48915, 110366, 15682, 111044, 16, 56965, 16144, 127103, 17297, 29295, 103664, 8273, 76, 89046, 26854, 76947, 108086, 13177, 102718, 56965, 127103, 17297, 66383, 127173, 115032, 1811, 60174, 48915, 121254, 107441, 102465, 102936, 19732, 15024, 71289, 101462, 255, 56965, 5486, 109673, 127363, 16144, 124623, 20834, 119432, 91739, 241, 32977, 47000, 102332, 110731, 1811, 60174, 32943, 110366, 15682, 126495, 58850, 104067, 16144, 114834, 107407, 9174, 61786, 16144, 113692, 16144, 33208, 90397, 100, 162, 104, 241, 15682, 5486, 103633, 123524, 29295, 112427, 75513, 16144, 106984, 94, 71208, 9458, 112427, 106145, 20230, 101477, 123, 125639, 54926, 104983, 16144, 33208, 90397, 100, 42506, 605, 32307, 102465, 16556, 10718, 23, 8107, 10110, 24186, 34208, 19, 8107, 7705, 20230, 26892, 38144, 109115, 102944, 103195, 1811, 102669, 123628, 23951, 22649, 17129, 77181, 5486, 33208, 90397, 100, 162, 104, 241, 102052, 58426, 13372, 16144, 121640, 40265, 125344, 33208, 90397, 100, 25446, 16144, 122561, 29295, 108618, 106358, 102677, 9174, 61786, 24273, 102052, 5486, 103633, 123524, 29295, 18, 97049, 16556, 106984, 94, 71208, 30512, 21388, 100472, 74482, 112160, 46729, 16144, 118095, 15308, 226, 30512, 112622, 76947, 114690, 56051, 102083, 126832, 71208, 58911, 103633, 123524, 36827, 112624, 106496, 29295, 103192, 109315, 1811, 103633, 123524, 29295, 103293, 118705, 5486, 61786, 16144, 113692, 101544, 91077, 16144, 127103, 17297, 55031, 36827, 112624, 106496, 30512, 30250, 98, 26955, 251, 107113, 19732, 116216, 108086, 5486, 110382, 117758, 104346, 86354, 30512, 117039, 125030, 76947, 198, 120988, 115351, 16144, 75293, 43514, 101682, 76622, 20230, 112990, 5486, 123524, 48634, 29295, 122060, 54926, 102677, 9174, 123524, 47095, 60174, 36827, 106154, 34273, 96, 16144, 32335, 17905, 106090, 102052, 198, 113293, 34048, 101365, 61337, 10110, 33334, 30813, 32149, 103854, 100204, 25827, 104446, 7705, 29295, 55228, 222, 125398, 1811, 123524, 47095, 60174, 113638, 60174, 117382, 105755, 51330, 30590, 20230, 55228, 222, 124195, 108086, 5486, 123524, 47095, 60174, 36668, 115287, 27384, 13372, 5486, 104500, 50211, 103293, 100543, 102, 29295, 106633, 102697, 16144, 51609, 112212, 25580, 106554, 60174, 102416, 60634, 100472, 104983, 5486, 112599, 16144, 104336, 103803, 72099, 25580, 106554, 23530, 117083, 101544, 110426, 101365, 61337, 124259, 60634, 103646, 29295, 5486, 112599, 32977, 123524, 47095, 60174, 16144, 80805, 102756, 61398, 89154, 67075, 19732, 117952, 115032, 9174, 76750, 55139, 9444, 123, 102571, 121536, 20230, 17129, 59739, 78183, 30369, 13177, 198, 33334, 86894, 232, 103932, 109076, 66383, 95604, 107407, 122262, 86894, 232, 15682, 58850, 22398, 80805, 25197, 103351, 29295, 37656, 33014, 29295, 66953, 44971, 38144, 9444, 123, 16144, 27869, 249, 21388, 30512, 114667, 20230, 102334, 104369, 102204, 114626, 15682, 103932, 109076, 20230, 80172, 102639, 15017, 101, 38144, 109115, 9174, 60174, 32943, 120938, 58911, 70349, 113692, 19732, 127173, 104028, 108285, 75267, 117083, 118133, 86894, 232, 103932, 109076, 10646, 15682, 36896, 76750, 55139, 9444, 123, 102571, 121536, 10646, 20230, 120955, 54926, 103932, 109076, 36785, 102083, 78183, 115032, 1811, 105243, 37656, 8107, 56965, 5486, 60174, 36668, 9458, 31809, 108553, 108630, 107430, 16144, 116043, 112607, 9458, 103271, 58911, 109673, 58911, 29295, 60174, 16144, 110498, 42891, 108167, 30512, 82420, 55723, 118844, 20230, 95221, 109669, 102334, 112427, 113524, 16144, 105060, 17925, 254, 24186, 22023, 15682, 5486, 103926, 100525, 122, 112197, 86894, 232, 30512, 103271, 58911, 46729, 20230, 58850, 16325, 103306, 37705, 31431, 121423, 5486, 127122, 105037, 222, 30512, 110665, 102334, 119520, 5486, 103271, 58911, 15120, 46729, 16144, 105037, 222, 95543, 15682, 19653, 15024, 106116, 74482, 103271, 58911, 46729, 20230, 108618, 106358, 33334, 86894, 232, 15682, 102865, 117027, 119375, 64803, 104703, 20230, 37656, 33014, 30512, 95221, 109669, 32149, 106824, 114732, 1811, 119375, 64803, 104703, 15682, 77693, 30512, 16555, 122, 20230, 126326, 30512, 117598, 30369, 29295, 120853, 123606, 5486, 113351, 30512, 121697, 28713, 119375, 64803, 104703, 15682, 46729, 104734, 16144, 9444, 123, 605, 109577, 16144, 117591, 16, 109577, 30512, 125062, 15024, 108948, 86894, 232, 16144, 16937, 27704, 106968, 103306, 113160, 62004, 108055, 39926, 103932, 109076, 20230, 80172, 102639, 104526, 102189, 109900, 55031, 102677, 102944, 121410, 103309, 36896, 16, 109577, 5486, 17, 109577, 1981, 10646, 19732, 9444, 123, 30512, 9039, 105262, 33334, 86894, 232, 16144, 116292, 21105, 240, 26854, 71174, 29295, 103932, 109076, 55031, 104655, 22957, 105262, 101200, 110276, 102677, 9174, 58426, 74482, 5486, 24186, 22023, 33503, 112427, 113524, 113468, 109673, 58911, 15120, 103868, 15682, 121143, 109416, 84389, 108948, 86894, 232, 15682, 13177, 102572, 86894, 232, 27384, 31958, 101365, 66383, 39926, 198, 114093, 32938, 101365, 61337, 16144, 103496, 32943, 117083, 33334, 86894, 232, 101365, 61337, 20230, 55228, 222, 125398, 1811, 128001, 128000, 113000, 105065, 16144, 57207, 106240, 16073, 32977, 105721, 116547, 5486, 105343, 107792, 15682, 17663, 42891, 107277, 113786, 16144, 103826, 50021, 38641, 1811, 121299, 107430, 108553, 94923, 77181, 89408, 32977, 23951, 23039, 16144, 39177, 107792, 121711, 79721, 1811, 46091, 103633, 107591, 26955, 251, 16556, 101961, 8107, 56965, 16144, 64209, 16144, 101037, 95, 30512, 21105, 96, 107277, 102936, 103306, 16995, 47884, 32938, 25359, 38641, 1811, 114652, 13177, 23951, 23039, 16325, 15682, 119630, 30512, 78698, 107290, 61689, 32149, 91006, 102677, 105284, 99397, 115991, 33541, 1811, 103899, 58942, 15682, 59999, 100, 20135, 114, 57980, 76947, 108010, 61689, 29295, 115408, 15682, 13177, 51330, 123953, 220, 67645, 33121, 108680, 16144, 13153, 101544, 29295, 103082, 28713, 32149, 115188, 19732, 37026, 99397, 37026, 103899, 30512, 21105, 97, 59739, 78052, 120, 26955, 251, 109156, 31431, 33541, 9174, 13153, 101544, 107118, 19524, 48915, 20230, 37689, 109375, 30512, 70141, 76622, 5486, 43511, 20230, 67645, 33121, 108680, 117375, 30512, 58318, 107800, 32149, 863, 112031, 5486, 109359, 40053, 13177, 13153, 101544, 104023, 26955, 94, 27384, 66383, 15017, 231, 58942, 33541, 29295, 115408, 125030, 76947, 16144, 13153, 101544, 15682, 32943, 109020, 102944, 38641, 1811, 104599, 13773, 254, 15682, 198, 863, 53953, 30926, 16144, 6708, 228, 15024, 30512, 16995, 111201, 112391, 18655, 103468, 32149, 863, 108911, 13153, 101544, 118816, 100927, 107290, 17297, 65316, 79721, 66327, 6708, 228, 15024, 66383, 15682, 5486, 53953, 30926, 29295, 125119, 31431, 120550, 95221, 55487, 95371, 16995, 61689, 29295, 108149, 33503, 106644, 30369, 114516, 16144, 112415, 15682, 110371, 6708, 228, 15024, 104088, 110993, 62004, 110071, 101200, 101983, 104533, 5486, 120007, 16144, 91875, 50834, 30512, 15120, 112661, 103856, 47884, 103911, 108867, 103082, 104533, 22398, 91062, 106240, 20230, 30926, 29295, 103768, 102802, 33541, 118855, 118133, 9458, 32977, 9458, 38144, 9458, 26854, 9458, 15024, 66383, 95604, 112690, 29295, 89753, 23039, 102158, 27384, 108363, 115717, 79721, 29295, 115847, 32977, 120007, 16144, 64209, 16144, 13177, 6708, 228, 15024, 116326, 64209, 16144, 121894, 7705, 30512, 72238, 103856, 47884, 105085, 53283, 108608, 106556, 38641, 1811, 59999, 100, 20135, 114, 15682, 116056, 19524, 105085, 54926, 48634, 863, 108911, 109215, 36785, 119150, 16144, 38641, 9174, 33334, 108553, 16144, 104654, 15682, 110371, 13177, 6708, 228, 15024, 118587, 112391, 30369, 115924, 53901, 16144, 23951, 23039, 75267, 38641, 1811, 103293, 15682, 33334, 114731, 62004, 71289, 19012, 225, 21418, 55031, 27704, 109709, 33541, 29295, 106116, 39177, 107792, 16144, 35894, 95221, 71289, 53610, 16144, 106142, 28713, 30813, 5486, 111398, 76505, 16144, 39135, 109669, 50834, 27479, 40862, 16995, 50667, 5486, 37046, 104680, 15682, 54597, 96, 107792, 16144, 30297, 59739, 85791, 117714, 105933, 50034, 115590, 26854, 102944, 30512, 112391, 106272, 104654, 30512, 127145, 1811, 108895, 16995, 100472, 96356, 60358, 26854, 120266, 37689, 109375, 30512, 70141, 76622, 106272, 123726, 30369, 118733, 108061, 253, 34171, 29295, 101772, 105557, 105444, 226, 17129, 84389, 5486, 104328, 102532, 15682, 13177, 6708, 228, 15024, 10646, 29295, 91774, 107290, 109749, 16144, 38641, 9174, 61826, 9080, 5486, 114181, 101426, 65854, 55031, 13177, 104509, 32943, 29295, 117759, 16995, 76864, 19732, 33334, 5877, 109, 31431, 114475, 76622, 79721, 119520, 5486, 113786, 112197, 108553, 15682, 117759, 117714, 38641, 31195, 10110, 49838, 75376, 102321, 31640, 116537, 125781, 109431, 26854, 104654, 20230, 101557, 96, 33121, 120195, 5486, 105343, 107792, 16144, 31809, 30813, 26854, 104721, 33208, 20230, 37689, 109375, 30512, 70141, 76622, 5486, 104940, 102802, 30512, 103868, 78183, 119841, 114754, 115079, 58942, 100934, 104466, 112391, 33541, 66327, 13153, 101544, 104023, 26955, 94, 27384, 117503, 50338, 13393, 230, 15682, 5486, 53953, 105284, 109904, 119515, 32149, 30813, 63415, 102395, 109431, 30813, 107294, 105722, 31431, 33541, 29295, 106116, 112772, 114599, 30926, 16144, 31809, 30813, 26854, 13177, 6708, 228, 15024, 118587, 112391, 19732, 31431, 5486, 9080, 40053, 20230, 99750, 118835, 108608, 64209, 30512, 113598, 107462, 47884, 115789, 101678, 30926, 26854, 13153, 101544, 220, 36785, 106046, 61689, 1811, 40862, 114666, 128001, 128000, 567, 105729, 114483, 91482, 109496, 198, 567, 103774, 104983, 113841, 105617, 112296, 30926, 101544, 103036, 114035, 59243, 101908, 105514, 198, 102433, 16144, 106581, 15682, 102616, 16144, 103087, 106518, 5486, 121655, 104043, 37026, 22023, 114792, 59739, 125231, 38641, 198, 107420, 106384, 64178, 198, 7285, 23, 8107, 21990, 123606, 1811, 111344, 102667, 25333, 48864, 34048, 124305, 101275, 5486, 127515, 102663, 16073, 124366, 26269, 76428, 102667, 106613, 111587, 48864, 34048, 124305, 101275, 1811, 48915, 102781, 66870, 106581, 113841, 34048, 101544, 5486, 106613, 111587, 91077, 101544, 5486, 48915, 102781, 117859, 104760, 102078, 50667, 30512, 114172, 49988, 5486, 126202, 102832, 20251, 96452, 91062, 27384, 33655, 5486, 126202, 116137, 29504, 27384, 33655, 5486, 126202, 52591, 119930, 27384, 33655, 30512, 102781, 109315, 1811, 1049, 18, 8107, 105755, 127123, 113841, 105617, 22649, 30926, 101544, 1811, 103271, 58911, 106424, 102667, 115612, 117662, 116891, 5486, 80195, 51609, 104517, 102667, 65854, 102351, 116891, 9174, 48915, 102781, 66870, 19000, 108847, 113146, 102052, 5486, 106581, 113841, 113096, 103130, 16144, 113009, 116898, 85791, 16995, 85791, 26854, 29504, 16556, 13177, 106581, 120690, 118587, 19967, 30369, 104309, 5486, 127123, 113841, 16144, 76171, 52591, 32131, 64531, 104874, 117824, 76947, 22957, 109115, 31809, 114035, 105514, 1811, 56906, 102078, 74482, 15682, 102667, 16556, 100927, 111896, 255, 30512, 118935, 31431, 106272, 5486, 112599, 15682, 127123, 113841, 105617, 16144, 22649, 30926, 101544, 20230, 123532, 30926, 15024, 123085, 106581, 30512, 102616, 102416, 102404, 103130, 15024, 106307, 76622, 100934, 31809, 114035, 105514, 107898, 87177, 126130, 17885, 118, 16995, 121256, 9174, 12, 112562, 33671, 198, 12, 45631, 102616, 16144, 50211, 34208, 20230, 80631, 95, 112500, 120837, 33503, 102334, 16995, 126557, 107943, 104503, 16144, 112690, 55031, 48915, 102781, 66870, 16144, 45893, 102416, 198, 12, 105180, 16144, 106581, 9554, 108044, 105156, 15682, 5486, 102616, 16556, 17620, 32149, 43514, 40862, 30297, 125231, 102944, 198, 12, 105180, 106581, 30512, 102616, 20230, 27699, 116, 108950, 124545, 113009, 123085, 102158, 16144, 103572, 82317, 19732, 102473, 112919, 101662, 13153, 20230, 26130, 48634, 198, 14711, 127365, 16144, 50211, 34208, 20230, 80631, 95, 112500, 120837, 33503, 102334, 16995, 10646, 107943, 111656, 104503, 16144, 112690, 55031, 48915, 102781, 66870, 16144, 45893, 102416, 198, 101634, 58911, 198, 31809, 114035, 117940, 48915, 102781, 66870, 16144, 48154, 20834, 96356, 19732, 33334, 104655, 50834, 121256, 29295, 5486, 27929, 112384, 109156, 66870, 84389, 101200, 106046, 100472, 50834, 42891, 126929, 15682, 67645, 120950, 102944, 103351, 105879, 109954, 32149, 9174 ]
[ 31809, 114035, 198, 127880, 111656, 104503, 29295, 106135, 33671, 102616, 27384, 102669, 16325, 5486, 103472, 59462, 106518, 101275, 20230, 120988, 78183, 107462, 79721, 1811, 48154, 25359, 53283, 32149, 104405, 124233, 107277, 107515, 29295, 93056, 104346, 106670, 108947, 119375, 863, 102677, 102944, 126694, 106358, 16144, 125651, 109807, 119400, 104503, 15682, 59795, 16144, 102669, 30590, 107898, 31431, 115408, 29295, 21990, 17129, 103468, 39177, 5486, 111656, 104503, 113115, 39926, 5486, 46034, 112810, 16556, 13177, 85701, 126328, 50211, 34208, 127105, 29295, 27384, 102769, 36785, 1811, 115364, 23018, 45829, 102052, 50211, 34208, 16144, 34208, 16144, 19113, 116825, 107441, 5486, 102616, 16144, 50211, 34208, 20230, 80631, 95, 112500, 120837, 33503, 102334, 16995, 66383, 16144, 110999, 6079, 101, 30512, 37705, 121118, 19732, 104655, 102334, 105908, 57903, 121906, 95604, 115789, 15120, 118821, 120273, 101513, 119012, 16144, 111769, 32149, 106046, 61689, 9174, 122582, 5486, 126920, 102669, 106106, 30512, 106613, 111186, 39926, 105898, 24273, 105110, 77181, 16144, 103350, 99750, 26854, 105879, 109954, 101832, 109807, 114284, 30512, 23018, 45829, 103195, 31809, 114035, 98369, 20230, 29245, 245, 103646, 102677, 113334, 125651, 9174, 102131, 125651, 118855, 111656, 104503, 16144, 87177, 126529, 119627, 115132, 114740, 16144, 103130, 126202, 103472, 29295, 102433, 20230, 71289, 121118, 110018, 20230, 5486, 121247, 103836, 102944, 29295, 108947, 119375, 36785, 102677, 118733, 5486, 111656, 104503, 16144, 49792, 75267, 30512, 120824, 33121, 5486, 103826, 104680, 26854, 105284, 99397, 30512, 39926, 109749, 113334, 125651, 1811, 111656, 104503, 15682, 58426, 39177, 5486, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 29295, 19732, 33121, 101860, 20230, 107202, 8239, 112, 39926, 5486, 114654, 16144, 109215, 34171, 30512, 104195, 47884, 103350, 99750, 56051, 105879, 109954, 109807, 72342, 118544, 86127, 20230, 5486, 114654, 30512, 53508, 231, 104195, 15024, 85791, 53508, 231, 104195, 15024, 85791, 19732, 5486, 40526, 71289, 32149, 17129, 106624, 78244, 107462, 79721, 101832, 9174, 80539, 106116, 85707, 78228, 30512, 80631, 104, 17599, 117, 15024, 5486, 48915, 102781, 66870, 109156, 109115, 113334, 119627, 5486, 27929, 112384, 77181, 67645, 120950, 33334, 117876, 30512, 116216, 105898, 105879, 109954, 32149, 9174, 126843, 15682, 5486, 104959, 73361, 120328, 29504, 113115, 54926, 2118, 106613, 111587, 48915, 39209, 56907, 38, 22, 5486, 38, 23, 104309, 102083, 100472, 105572, 29504, 61075, 101171, 111, 38093, 104760, 5486, 17663, 26854, 78183, 43514, 60868, 101198, 67075, 16144, 103768, 112167, 104309, 20230, 120988, 116547, 79721, 124845, 2118, 39880, 125581, 48915, 39209, 863, 30512, 126913, 107113, 104983, 102052, 5486, 9080, 59795, 39209, 120870, 33208, 105352, 123532, 30926, 121256, 15024, 5486, 102832, 20251, 96452, 91062, 71289, 80805, 62903, 105335, 16073, 5486, 116137, 29504, 105352, 126202, 19000, 121256, 1811, 122270, 2118, 106581, 113841, 863, 30512, 126913, 56051, 104983, 102052, 5486, 102208, 29504, 20230, 106581, 120690, 126694, 30369, 104309, 116898, 78183, 106644, 30369, 127123, 113841, 16144, 76171, 52591, 32131, 64531, 104874, 117824, 76947, 50834, 79721, 9174, 127123, 113841, 105617, 16144, 22649, 30926, 101983, 109115, 104468, 5486, 67645, 120950, 106613, 100783, 107, 103351, 105879, 109954, 9174, 56906, 102078, 74482, 15682, 5486, 103271, 58911, 106424, 102667, 16144, 100927, 111896, 255, 30512, 118935, 31431, 5486, 106718, 20230, 102433, 16144, 48915, 39209, 102512, 71289, 48915, 39209, 105242, 30512, 100927, 107800, 31431, 5486, 105994, 16556, 31809, 30813, 26854, 108695, 30512, 118013, 109415, 5486, 127123, 113841, 30512, 113096, 103130, 54926, 117876, 126198, 31431, 107113, 16144, 119627, 5486, 107943, 16325, 5486, 48915, 102781, 27384, 113524, 55031, 33334, 71174, 29295, 115856, 102518, 16144, 38641, 1811, 16995, 78183, 106644, 30369, 2118, 70821, 863, 20230, 81258, 107430, 109768, 79721, 15024, 5486, 115364, 108695, 32977, 101182, 105879, 109440, 100472, 16144, 119627, 5486, 37026, 120577, 106613, 111186, 30512, 21990, 123772, 108048, 30512, 33671, 16144, 101083, 31640, 20230, 108044, 58942, 100481, 47884, 37689, 104577, 30512, 114284, 106116, 87177, 126130, 101682, 76622, 56051, 16144, 38641, 1811, 112599, 72661, 5486, 102667, 77181, 100927, 111896, 255, 30512, 19732, 103836, 16144, 119627, 5486, 115364, 108695, 15682, 105677, 82533, 107726, 127280, 9174, 14711, 105180, 16144, 106581, 9554, 108044, 105156, 15682, 102616, 16556, 17620, 32149, 43514, 40862, 30297, 125231, 102944, 198, 85701, 103296, 3484, 28359, 43240, 119064, 101513, 97518, 16556, 123085, 19732, 120328, 48915, 29504, 110792, 56965, 113245, 106581, 113841, 29295, 103130, 62004, 124195, 105898, 106046, 61689, 29295, 108048, 120577, 91875, 50834, 15682, 31809, 114035, 115867, 30832, 102052, 67645, 119775, 106482, 103836, 105879, 109954, 9174, 2118, 102433, 16144, 106592, 125821, 102616, 20230, 53283, 114598, 33503, 33334, 30297, 863, 102677, 105335, 107446, 102052, 114318, 111243, 33420, 110993, 109904, 104371, 47523, 30512, 112391, 127280, 1811, 31634, 54926, 20230, 41642, 116310, 16144, 29504, 15682, 123085, 16144, 106592, 125144, 50338, 103792, 5486, 125821, 113954, 39926, 102717, 102800, 5486, 102677, 101682, 91875, 109904, 39880, 107420, 113335, 126365, 107290, 114732, 16144, 38641, 1811, 102131, 126194, 5486, 125821, 37026, 22023, 114792, 59739, 125231, 36785, 119150, 16144, 125651, 1811, 102433, 16144, 106581, 9554, 108044, 105156, 15682, 17663, 81219, 114420, 102944, 16556, 115847, 15682, 102616, 16556, 17620, 32149, 43514, 40862, 30297, 125231, 102944, 103195, 102083, 100472, 77913, 40862, 20230, 9174, 104261, 107875, 17885, 236, 104309, 102083, 100472, 108044, 105156, 117813, 27327, 71289, 5486, 68171, 114262, 101182, 101365, 61337, 6271, 237, 34273, 96, 30512, 5486, 102677, 100909, 112130, 9174, 102131, 16995, 100472, 30832, 126365, 105262, 102944, 122416, 126194, 5486, 27452, 116285, 102433, 16144, 106613, 111587, 102404, 77413, 16144, 109243, 29245, 96, 103195, 110162, 5486, 101307, 108947, 56051, 106613, 111186, 71289, 5486, 50211, 34208, 5486, 109683, 113115, 54926, 113727, 24273, 104309, 123085, 105110, 77181, 16144, 106613, 111186, 71289, 53283, 109375, 5486, 80539, 114284, 30512, 108044, 105262, 2118, 53283, 9554, 113841, 863, 127105, 19361, 126120, 26854, 46034, 38574, 36785, 106046, 76947, 61689, 9174, 109020, 108680, 1811, 102131, 113727, 33541, 19732, 5486, 105184, 111201, 112185, 112185, 102404, 22023, 21105, 235, 33121, 126386, 108134, 29295, 121771, 98369, 101182, 105933, 116499, 78434, 9174, 122270, 15120, 24273, 112535, 102404, 22023, 123410, 103378, 126194, 123334, 15682, 31431, 106116, 120007, 110366, 16144, 101682, 22023, 106556, 30512, 45736, 109315, 115789, 107693, 117084, 50834, 33541, 1811, 102433, 16144, 106581, 29295, 101682, 76622, 125639, 110071, 74090, 45826, 234, 19967, 31431, 123410, 102677, 100909, 119627, 5486, 120007, 16144, 125525, 39850, 114483, 37823, 103906, 71289, 110999, 70141, 30512, 113954, 39926, 108048, 20230, 21105, 96, 107277, 102040, 68759, 30369, 105933, 71289, 31431, 24273, 16556, 102404, 22023, 54926, 109215, 107407, 102677, 100909, 38641, 1811, 41642, 103682, 9039, 29295, 108010, 116285, 5486, 120007, 16144, 101682, 22023, 101513, 20230, 109948, 50834, 107515, 55031, 101832, 1811, 27452, 116285, 5486, 104261, 107875, 17885, 236, 30512, 52591, 119930, 20230, 69978, 107462, 47884, 105879, 30591, 104984, 5486, 126843, 13177, 102494, 37823, 76739, 64178, 118587, 113954, 119607, 5486, 25197, 104603, 112997, 20230, 69978, 107462, 119064, 105110, 81219, 13177, 122908, 105048, 22398, 70563, 39880, 118587, 113954, 119607, 5486, 102677, 100909, 38641, 1811, 113954, 30512, 102987, 109315, 118733, 5486, 59614, 101860, 71289, 55999, 33035, 105904, 104088, 121406, 105908, 108608, 116497, 38641, 55031, 9174, 102208, 125525, 106581, 16144, 102831, 104792, 102052, 124563, 112649, 15120, 80631, 104, 39926, 33035, 101860, 30369, 102944, 107407, 102677, 100909, 125651, 109900, 127105, 5486, 114516, 30512, 91875, 32149, 17663, 100909, 16144, 108608, 48634, 107407, 102677, 32149, 9174, 58426, 121640, 125651, 1811, 118899, 123085, 16144, 106581, 112415, 30512, 33035, 100204, 38144, 50211, 34208, 20230, 80631, 95, 112500, 109768, 108895, 5486, 102677, 91875, 50834, 115991, 33541, 1811, 27452, 116285, 5486, 76171, 45923, 102750, 114741, 16144, 111108, 70821, 107391, 108969, 20230, 107991, 45829, 67645, 32977, 105459, 20230, 5486, 102446, 108740, 104088, 122101, 16144, 119627, 108048, 121142, 103470, 2118, 30591, 112568, 105459, 32977, 125338, 64121, 107515, 32149, 863, 19732, 122502, 50834, 32149, 105784, 16144, 38641, 1811, 112990, 32943, 102669, 16556, 114737, 103359, 107113, 116497, 16144, 118953, 107610, 117255, 67645, 32977, 105459, 29295, 112160, 114262, 20230, 102446, 108740, 123410, 118733, 113850, 103424, 115737, 107462, 47884, 127891, 102616, 100204, 116186, 30297, 16144, 114754, 55999, 19361, 54926, 100909, 16144, 108608, 106581, 102052, 110371, 104466, 107707, 64209, 30512, 91875, 32149, 17663, 48634, 115991, 120268, 30813, 26854, 15120, 105564, 106272, 110924, 55031, 50211, 34208, 26854, 102616, 30512, 113638, 47884, 105908, 108608, 5486, 107943, 125396, 20230, 112624, 43514, 100934, 102677, 100909, 126529, 38641, 9174, 14711, 105180, 106581, 30512, 102616, 20230, 27699, 116, 108950, 124545, 113009, 123085, 102158, 16144, 103572, 82317, 19732, 102473, 112919, 101662, 13153, 20230, 26130, 48634, 198, 37271, 108948, 87177, 103646, 2118, 102433, 106581, 30512, 33035, 100204, 28713, 50211, 34208, 80631, 95, 112500, 863, 102677, 123017, 5486, 127123, 113841, 105617, 16144, 101198, 26269, 104272, 16144, 115303, 59739, 26854, 105879, 109954, 32149, 9174, 58426, 121640, 38641, 1811, 112599, 115408, 67645, 32977, 127123, 113841, 105617, 29295, 84851, 103130, 54926, 112415, 107809, 16556, 5486, 36668, 100818, 116, 104856, 103836, 112973, 5486, 126843, 13177, 102433, 102158, 16144, 103572, 82317, 10646, 38641, 1811, 112599, 77181, 103664, 4364, 71493, 29504, 5486, 2636, 32307, 17792, 102944, 48915, 29504, 114754, 102433, 102158, 30512, 108710, 76947, 61689, 29295, 5486, 122270, 26955, 94, 27384, 30512, 111629, 31431, 48864, 108710, 112919, 106556, 30512, 45736, 109315, 113009, 5486, 100927, 104599, 16144, 101662, 13153, 5486, 105647, 124955, 30512, 84851, 103130, 127145, 1811, 106307, 102532, 26130, 48634, 103792, 112973, 13177, 102433, 16144, 102473, 112919, 101662, 13153, 126557, 85701, 30512, 30250, 224, 23039, 54926, 113009, 5486, 102321, 30590, 16144, 102667, 16144, 102433, 102473, 48864, 70626, 30512, 26955, 94, 105843, 15024, 5486, 116891, 30512, 105647, 124955, 56051, 31431, 111629, 102181, 30512, 108385, 13647, 230, 56051, 31431, 54926, 123160, 76171, 52591, 32131, 16144, 64531, 104874, 117824, 78183, 103470, 38144, 15682, 26854, 31431, 107515, 1811, 102473, 30046, 29295, 115079, 58942, 104984, 108948, 16144, 101860, 19732, 102433, 30512, 113954, 54926, 114754, 115079, 21601, 109768, 50834, 33541, 105879, 5486, 117896, 32977, 107693, 26854, 112415, 16144, 115303, 59739, 102083, 58942, 33541, 9174, 109020, 108680, 1811, 102433, 16144, 106581, 30512, 27699, 116, 108950, 124545, 103846, 102052, 106116, 102832, 61398, 16144, 105494, 55031, 21105, 96, 107277, 19732, 5486, 102677, 100909, 126529, 125651, 9174, 58426, 17905, 16556, 123085, 16144, 106581, 30512, 102616, 102416, 102404, 22023, 109768, 47884, 113334, 119627, 123085, 107707, 99750, 34171, 30512, 113954, 120837, 33503, 30297, 103846, 102052, 5486, 61826, 107898, 87177, 121256, 2118, 53283, 9554, 113841, 863, 103378, 77181, 99959, 39850, 36785, 106046, 76947, 61689, 1811, 31634, 54926, 20230, 103892, 16556, 113954, 54926, 121142, 103470, 5486, 64209, 16556, 113954, 120837, 33503, 30297, 105908, 109215, 36785, 102677, 100909, 38641, 109807, 113009, 5486, 58666, 103991, 5486, 108044, 105156, 117813, 27327, 5486, 120366, 115132, 120292, 103296, 5486, 102491, 16995, 102944, 55031, 17039, 102800, 102944, 103296, 11883, 37689, 15024, 5486, 111044, 108285, 16995, 8107, 106036, 95, 114050, 124911, 126027, 64209, 20230, 122502, 50834, 126929, 100481, 105898, 16995, 106046, 76947, 61689, 1811, 112185, 43511, 105352, 5486, 103826, 104680, 26854, 17039, 102800, 112415, 30512, 100815, 104680, 19732, 103130, 62004, 100934, 110229, 38641, 9174, 122582, 5486, 67645, 120950, 112415, 123253, 32149, 95532, 27452, 116285, 5486, 118899, 77181, 123085, 16144, 112113, 16556, 88356, 21990, 56051, 52927, 16556, 19967, 100472, 44309, 16144, 104774, 26269, 104272, 102895, 11972, 30512, 103350, 102923, 121256, 118844, 15682, 32977, 43514, 85791, 25827, 5486, 76739, 47260, 113115, 54926, 37689, 109375, 30512, 45736, 109315, 105908, 113173, 16144, 115303, 59739, 72661, 57903, 33541, 29295, 118855, 123085, 16144, 110770, 57933, 29220, 101335, 42634, 76428, 11972, 30512, 125894, 33655, 39926, 123085, 16144, 106581, 112686, 19732, 111352, 17620, 114760, 117714, 100604, 44971, 57326, 109896, 126694, 76947, 5486, 125559, 20230, 69978, 107462, 76947, 127950, 54926, 102677, 112415, 32977, 103350, 102923, 121256, 118844, 15682, 123085, 16144, 108396, 112113, 19732, 115963, 20230, 106581, 112686, 32977, 126362, 108608, 5486, 80539, 106116, 108396, 112113, 29295, 106581, 112686, 47585, 20230, 67645, 119775, 107734, 80195, 59739, 32149, 102677, 41007, 105242, 32977, 46239, 108608, 16144, 38641, 113637, 104466, 5486, 110904, 20230, 102433, 30512, 126362, 54926, 103378, 102083, 100472, 116898, 78183, 106644, 30369, 102491, 16995, 117809, 16144, 106581, 113841, 16556, 103470, 5486, 110924, 55031, 15120, 105564, 61826, 117083, 121453, 28713, 26854, 95001, 112603, 29295, 91774, 20834, 122101, 105933, 5486, 33671, 101083, 31640, 16144, 106581, 113841, 105335, 106696, 30512, 106391, 113638, 39926, 5486, 108882, 110993, 112535, 84851, 103130, 109768, 105898, 16995, 106046, 76947, 61689, 9174, 19732, 111243, 108152, 78683, 105048, 26854, 112415, 29295, 115079, 58942, 100934, 16144, 125651, 1811, 110229, 16556, 41, 45, 5319, 110792, 108975, 48634, 33014, 44416, 15682, 67645, 120950, 83799, 101983, 103836, 105879, 109954, 32149, 9174, 106483, 119178, 108134, 30512, 55999, 19361, 56051, 31431, 5486, 20834, 61826, 101513, 97518, 16144, 123357, 32938, 30512, 122908, 39880, 54926, 102677, 109335, 57903, 33541, 119520, 5486, 106581, 113841, 15682, 114181, 101426, 19732, 108010, 76947, 33122, 101275, 9554, 31634, 72238, 1811, 110924, 30512, 104405, 78698, 105262, 32149, 15682, 111108, 102800, 110229, 32977, 57903, 33541, 118844, 55031, 112169, 34171, 30512, 105184, 80195, 109768, 47884, 5486, 102083, 100472, 38574, 106090, 125651, 9174, 102131, 112130, 5486, 78183, 107277, 79721, 1811, 110589, 15682, 33334, 112008, 102800, 16325, 108948, 82973, 30512, 16995, 90620, 50834, 124097, 20230, 85777, 19732, 77121, 16995, 79721, 1811, 111828, 30358, 126738, 87177, 30512, 121771, 98369, 17885, 118, 107800, 106592, 99750, 118835, 78434, 9174, 127123, 113841, 105617, 29411, 14711, 83639, 17039, 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 ]
[ 31809, 114035, 198, 127880, 111656, 104503, 29295, 106135, 33671, 102616, 27384, 102669, 16325, 5486, 103472, 59462, 106518, 101275, 20230, 120988, 78183, 107462, 79721, 1811, 48154, 25359, 53283, 32149, 104405, 124233, 107277, 107515, 29295, 93056, 104346, 106670, 108947, 119375, 863, 102677, 102944, 126694, 106358, 16144, 125651, 109807, 119400, 104503, 15682, 59795, 16144, 102669, 30590, 107898, 31431, 115408, 29295, 21990, 17129, 103468, 39177, 5486, 111656, 104503, 113115, 39926, 5486, 46034, 112810, 16556, 13177, 85701, 126328, 50211, 34208, 127105, 29295, 27384, 102769, 36785, 1811, 115364, 23018, 45829, 102052, 50211, 34208, 16144, 34208, 16144, 19113, 116825, 107441, 5486, 102616, 16144, 50211, 34208, 20230, 80631, 95, 112500, 120837, 33503, 102334, 16995, 66383, 16144, 110999, 6079, 101, 30512, 37705, 121118, 19732, 104655, 102334, 105908, 57903, 121906, 95604, 115789, 15120, 118821, 120273, 101513, 119012, 16144, 111769, 32149, 106046, 61689, 9174, 122582, 5486, 126920, 102669, 106106, 30512, 106613, 111186, 39926, 105898, 24273, 105110, 77181, 16144, 103350, 99750, 26854, 105879, 109954, 101832, 109807, 114284, 30512, 23018, 45829, 103195, 31809, 114035, 98369, 20230, 29245, 245, 103646, 102677, 113334, 125651, 9174, 102131, 125651, 118855, 111656, 104503, 16144, 87177, 126529, 119627, 115132, 114740, 16144, 103130, 126202, 103472, 29295, 102433, 20230, 71289, 121118, 110018, 20230, 5486, 121247, 103836, 102944, 29295, 108947, 119375, 36785, 102677, 118733, 5486, 111656, 104503, 16144, 49792, 75267, 30512, 120824, 33121, 5486, 103826, 104680, 26854, 105284, 99397, 30512, 39926, 109749, 113334, 125651, 1811, 111656, 104503, 15682, 58426, 39177, 5486, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 29295, 19732, 33121, 101860, 20230, 107202, 8239, 112, 39926, 5486, 114654, 16144, 109215, 34171, 30512, 104195, 47884, 103350, 99750, 56051, 105879, 109954, 109807, 72342, 118544, 86127, 20230, 5486, 114654, 30512, 53508, 231, 104195, 15024, 85791, 53508, 231, 104195, 15024, 85791, 19732, 5486, 40526, 71289, 32149, 17129, 106624, 78244, 107462, 79721, 101832, 9174, 80539, 106116, 85707, 78228, 30512, 80631, 104, 17599, 117, 15024, 5486, 48915, 102781, 66870, 109156, 109115, 113334, 119627, 5486, 27929, 112384, 77181, 67645, 120950, 33334, 117876, 30512, 116216, 105898, 105879, 109954, 32149, 9174, 126843, 15682, 5486, 104959, 73361, 120328, 29504, 113115, 54926, 2118, 106613, 111587, 48915, 39209, 56907, 38, 22, 5486, 38, 23, 104309, 102083, 100472, 105572, 29504, 61075, 101171, 111, 38093, 104760, 5486, 17663, 26854, 78183, 43514, 60868, 101198, 67075, 16144, 103768, 112167, 104309, 20230, 120988, 116547, 79721, 124845, 2118, 39880, 125581, 48915, 39209, 863, 30512, 126913, 107113, 104983, 102052, 5486, 9080, 59795, 39209, 120870, 33208, 105352, 123532, 30926, 121256, 15024, 5486, 102832, 20251, 96452, 91062, 71289, 80805, 62903, 105335, 16073, 5486, 116137, 29504, 105352, 126202, 19000, 121256, 1811, 122270, 2118, 106581, 113841, 863, 30512, 126913, 56051, 104983, 102052, 5486, 102208, 29504, 20230, 106581, 120690, 126694, 30369, 104309, 116898, 78183, 106644, 30369, 127123, 113841, 16144, 76171, 52591, 32131, 64531, 104874, 117824, 76947, 50834, 79721, 9174, 127123, 113841, 105617, 16144, 22649, 30926, 101983, 109115, 104468, 5486, 67645, 120950, 106613, 100783, 107, 103351, 105879, 109954, 9174, 56906, 102078, 74482, 15682, 5486, 103271, 58911, 106424, 102667, 16144, 100927, 111896, 255, 30512, 118935, 31431, 5486, 106718, 20230, 102433, 16144, 48915, 39209, 102512, 71289, 48915, 39209, 105242, 30512, 100927, 107800, 31431, 5486, 105994, 16556, 31809, 30813, 26854, 108695, 30512, 118013, 109415, 5486, 127123, 113841, 30512, 113096, 103130, 54926, 117876, 126198, 31431, 107113, 16144, 119627, 5486, 107943, 16325, 5486, 48915, 102781, 27384, 113524, 55031, 33334, 71174, 29295, 115856, 102518, 16144, 38641, 1811, 16995, 78183, 106644, 30369, 2118, 70821, 863, 20230, 81258, 107430, 109768, 79721, 15024, 5486, 115364, 108695, 32977, 101182, 105879, 109440, 100472, 16144, 119627, 5486, 37026, 120577, 106613, 111186, 30512, 21990, 123772, 108048, 30512, 33671, 16144, 101083, 31640, 20230, 108044, 58942, 100481, 47884, 37689, 104577, 30512, 114284, 106116, 87177, 126130, 101682, 76622, 56051, 16144, 38641, 1811, 112599, 72661, 5486, 102667, 77181, 100927, 111896, 255, 30512, 19732, 103836, 16144, 119627, 5486, 115364, 108695, 15682, 105677, 82533, 107726, 127280, 9174, 14711, 105180, 16144, 106581, 9554, 108044, 105156, 15682, 102616, 16556, 17620, 32149, 43514, 40862, 30297, 125231, 102944, 198, 85701, 103296, 3484, 28359, 43240, 119064, 101513, 97518, 16556, 123085, 19732, 120328, 48915, 29504, 110792, 56965, 113245, 106581, 113841, 29295, 103130, 62004, 124195, 105898, 106046, 61689, 29295, 108048, 120577, 91875, 50834, 15682, 31809, 114035, 115867, 30832, 102052, 67645, 119775, 106482, 103836, 105879, 109954, 9174, 2118, 102433, 16144, 106592, 125821, 102616, 20230, 53283, 114598, 33503, 33334, 30297, 863, 102677, 105335, 107446, 102052, 114318, 111243, 33420, 110993, 109904, 104371, 47523, 30512, 112391, 127280, 1811, 31634, 54926, 20230, 41642, 116310, 16144, 29504, 15682, 123085, 16144, 106592, 125144, 50338, 103792, 5486, 125821, 113954, 39926, 102717, 102800, 5486, 102677, 101682, 91875, 109904, 39880, 107420, 113335, 126365, 107290, 114732, 16144, 38641, 1811, 102131, 126194, 5486, 125821, 37026, 22023, 114792, 59739, 125231, 36785, 119150, 16144, 125651, 1811, 102433, 16144, 106581, 9554, 108044, 105156, 15682, 17663, 81219, 114420, 102944, 16556, 115847, 15682, 102616, 16556, 17620, 32149, 43514, 40862, 30297, 125231, 102944, 103195, 102083, 100472, 77913, 40862, 20230, 9174, 104261, 107875, 17885, 236, 104309, 102083, 100472, 108044, 105156, 117813, 27327, 71289, 5486, 68171, 114262, 101182, 101365, 61337, 6271, 237, 34273, 96, 30512, 5486, 102677, 100909, 112130, 9174, 102131, 16995, 100472, 30832, 126365, 105262, 102944, 122416, 126194, 5486, 27452, 116285, 102433, 16144, 106613, 111587, 102404, 77413, 16144, 109243, 29245, 96, 103195, 110162, 5486, 101307, 108947, 56051, 106613, 111186, 71289, 5486, 50211, 34208, 5486, 109683, 113115, 54926, 113727, 24273, 104309, 123085, 105110, 77181, 16144, 106613, 111186, 71289, 53283, 109375, 5486, 80539, 114284, 30512, 108044, 105262, 2118, 53283, 9554, 113841, 863, 127105, 19361, 126120, 26854, 46034, 38574, 36785, 106046, 76947, 61689, 9174, 109020, 108680, 1811, 102131, 113727, 33541, 19732, 5486, 105184, 111201, 112185, 112185, 102404, 22023, 21105, 235, 33121, 126386, 108134, 29295, 121771, 98369, 101182, 105933, 116499, 78434, 9174, 122270, 15120, 24273, 112535, 102404, 22023, 123410, 103378, 126194, 123334, 15682, 31431, 106116, 120007, 110366, 16144, 101682, 22023, 106556, 30512, 45736, 109315, 115789, 107693, 117084, 50834, 33541, 1811, 102433, 16144, 106581, 29295, 101682, 76622, 125639, 110071, 74090, 45826, 234, 19967, 31431, 123410, 102677, 100909, 119627, 5486, 120007, 16144, 125525, 39850, 114483, 37823, 103906, 71289, 110999, 70141, 30512, 113954, 39926, 108048, 20230, 21105, 96, 107277, 102040, 68759, 30369, 105933, 71289, 31431, 24273, 16556, 102404, 22023, 54926, 109215, 107407, 102677, 100909, 38641, 1811, 41642, 103682, 9039, 29295, 108010, 116285, 5486, 120007, 16144, 101682, 22023, 101513, 20230, 109948, 50834, 107515, 55031, 101832, 1811, 27452, 116285, 5486, 104261, 107875, 17885, 236, 30512, 52591, 119930, 20230, 69978, 107462, 47884, 105879, 30591, 104984, 5486, 126843, 13177, 102494, 37823, 76739, 64178, 118587, 113954, 119607, 5486, 25197, 104603, 112997, 20230, 69978, 107462, 119064, 105110, 81219, 13177, 122908, 105048, 22398, 70563, 39880, 118587, 113954, 119607, 5486, 102677, 100909, 38641, 1811, 113954, 30512, 102987, 109315, 118733, 5486, 59614, 101860, 71289, 55999, 33035, 105904, 104088, 121406, 105908, 108608, 116497, 38641, 55031, 9174, 102208, 125525, 106581, 16144, 102831, 104792, 102052, 124563, 112649, 15120, 80631, 104, 39926, 33035, 101860, 30369, 102944, 107407, 102677, 100909, 125651, 109900, 127105, 5486, 114516, 30512, 91875, 32149, 17663, 100909, 16144, 108608, 48634, 107407, 102677, 32149, 9174, 58426, 121640, 125651, 1811, 118899, 123085, 16144, 106581, 112415, 30512, 33035, 100204, 38144, 50211, 34208, 20230, 80631, 95, 112500, 109768, 108895, 5486, 102677, 91875, 50834, 115991, 33541, 1811, 27452, 116285, 5486, 76171, 45923, 102750, 114741, 16144, 111108, 70821, 107391, 108969, 20230, 107991, 45829, 67645, 32977, 105459, 20230, 5486, 102446, 108740, 104088, 122101, 16144, 119627, 108048, 121142, 103470, 2118, 30591, 112568, 105459, 32977, 125338, 64121, 107515, 32149, 863, 19732, 122502, 50834, 32149, 105784, 16144, 38641, 1811, 112990, 32943, 102669, 16556, 114737, 103359, 107113, 116497, 16144, 118953, 107610, 117255, 67645, 32977, 105459, 29295, 112160, 114262, 20230, 102446, 108740, 123410, 118733, 113850, 103424, 115737, 107462, 47884, 127891, 102616, 100204, 116186, 30297, 16144, 114754, 55999, 19361, 54926, 100909, 16144, 108608, 106581, 102052, 110371, 104466, 107707, 64209, 30512, 91875, 32149, 17663, 48634, 115991, 120268, 30813, 26854, 15120, 105564, 106272, 110924, 55031, 50211, 34208, 26854, 102616, 30512, 113638, 47884, 105908, 108608, 5486, 107943, 125396, 20230, 112624, 43514, 100934, 102677, 100909, 126529, 38641, 9174, 14711, 105180, 106581, 30512, 102616, 20230, 27699, 116, 108950, 124545, 113009, 123085, 102158, 16144, 103572, 82317, 19732, 102473, 112919, 101662, 13153, 20230, 26130, 48634, 198, 37271, 108948, 87177, 103646, 2118, 102433, 106581, 30512, 33035, 100204, 28713, 50211, 34208, 80631, 95, 112500, 863, 102677, 123017, 5486, 127123, 113841, 105617, 16144, 101198, 26269, 104272, 16144, 115303, 59739, 26854, 105879, 109954, 32149, 9174, 58426, 121640, 38641, 1811, 112599, 115408, 67645, 32977, 127123, 113841, 105617, 29295, 84851, 103130, 54926, 112415, 107809, 16556, 5486, 36668, 100818, 116, 104856, 103836, 112973, 5486, 126843, 13177, 102433, 102158, 16144, 103572, 82317, 10646, 38641, 1811, 112599, 77181, 103664, 4364, 71493, 29504, 5486, 2636, 32307, 17792, 102944, 48915, 29504, 114754, 102433, 102158, 30512, 108710, 76947, 61689, 29295, 5486, 122270, 26955, 94, 27384, 30512, 111629, 31431, 48864, 108710, 112919, 106556, 30512, 45736, 109315, 113009, 5486, 100927, 104599, 16144, 101662, 13153, 5486, 105647, 124955, 30512, 84851, 103130, 127145, 1811, 106307, 102532, 26130, 48634, 103792, 112973, 13177, 102433, 16144, 102473, 112919, 101662, 13153, 126557, 85701, 30512, 30250, 224, 23039, 54926, 113009, 5486, 102321, 30590, 16144, 102667, 16144, 102433, 102473, 48864, 70626, 30512, 26955, 94, 105843, 15024, 5486, 116891, 30512, 105647, 124955, 56051, 31431, 111629, 102181, 30512, 108385, 13647, 230, 56051, 31431, 54926, 123160, 76171, 52591, 32131, 16144, 64531, 104874, 117824, 78183, 103470, 38144, 15682, 26854, 31431, 107515, 1811, 102473, 30046, 29295, 115079, 58942, 104984, 108948, 16144, 101860, 19732, 102433, 30512, 113954, 54926, 114754, 115079, 21601, 109768, 50834, 33541, 105879, 5486, 117896, 32977, 107693, 26854, 112415, 16144, 115303, 59739, 102083, 58942, 33541, 9174, 109020, 108680, 1811, 102433, 16144, 106581, 30512, 27699, 116, 108950, 124545, 103846, 102052, 106116, 102832, 61398, 16144, 105494, 55031, 21105, 96, 107277, 19732, 5486, 102677, 100909, 126529, 125651, 9174, 58426, 17905, 16556, 123085, 16144, 106581, 30512, 102616, 102416, 102404, 22023, 109768, 47884, 113334, 119627, 123085, 107707, 99750, 34171, 30512, 113954, 120837, 33503, 30297, 103846, 102052, 5486, 61826, 107898, 87177, 121256, 2118, 53283, 9554, 113841, 863, 103378, 77181, 99959, 39850, 36785, 106046, 76947, 61689, 1811, 31634, 54926, 20230, 103892, 16556, 113954, 54926, 121142, 103470, 5486, 64209, 16556, 113954, 120837, 33503, 30297, 105908, 109215, 36785, 102677, 100909, 38641, 109807, 113009, 5486, 58666, 103991, 5486, 108044, 105156, 117813, 27327, 5486, 120366, 115132, 120292, 103296, 5486, 102491, 16995, 102944, 55031, 17039, 102800, 102944, 103296, 11883, 37689, 15024, 5486, 111044, 108285, 16995, 8107, 106036, 95, 114050, 124911, 126027, 64209, 20230, 122502, 50834, 126929, 100481, 105898, 16995, 106046, 76947, 61689, 1811, 112185, 43511, 105352, 5486, 103826, 104680, 26854, 17039, 102800, 112415, 30512, 100815, 104680, 19732, 103130, 62004, 100934, 110229, 38641, 9174, 122582, 5486, 67645, 120950, 112415, 123253, 32149, 95532, 27452, 116285, 5486, 118899, 77181, 123085, 16144, 112113, 16556, 88356, 21990, 56051, 52927, 16556, 19967, 100472, 44309, 16144, 104774, 26269, 104272, 102895, 11972, 30512, 103350, 102923, 121256, 118844, 15682, 32977, 43514, 85791, 25827, 5486, 76739, 47260, 113115, 54926, 37689, 109375, 30512, 45736, 109315, 105908, 113173, 16144, 115303, 59739, 72661, 57903, 33541, 29295, 118855, 123085, 16144, 110770, 57933, 29220, 101335, 42634, 76428, 11972, 30512, 125894, 33655, 39926, 123085, 16144, 106581, 112686, 19732, 111352, 17620, 114760, 117714, 100604, 44971, 57326, 109896, 126694, 76947, 5486, 125559, 20230, 69978, 107462, 76947, 127950, 54926, 102677, 112415, 32977, 103350, 102923, 121256, 118844, 15682, 123085, 16144, 108396, 112113, 19732, 115963, 20230, 106581, 112686, 32977, 126362, 108608, 5486, 80539, 106116, 108396, 112113, 29295, 106581, 112686, 47585, 20230, 67645, 119775, 107734, 80195, 59739, 32149, 102677, 41007, 105242, 32977, 46239, 108608, 16144, 38641, 113637, 104466, 5486, 110904, 20230, 102433, 30512, 126362, 54926, 103378, 102083, 100472, 116898, 78183, 106644, 30369, 102491, 16995, 117809, 16144, 106581, 113841, 16556, 103470, 5486, 110924, 55031, 15120, 105564, 61826, 117083, 121453, 28713, 26854, 95001, 112603, 29295, 91774, 20834, 122101, 105933, 5486, 33671, 101083, 31640, 16144, 106581, 113841, 105335, 106696, 30512, 106391, 113638, 39926, 5486, 108882, 110993, 112535, 84851, 103130, 109768, 105898, 16995, 106046, 76947, 61689, 9174, 19732, 111243, 108152, 78683, 105048, 26854, 112415, 29295, 115079, 58942, 100934, 16144, 125651, 1811, 110229, 16556, 41, 45, 5319, 110792, 108975, 48634, 33014, 44416, 15682, 67645, 120950, 83799, 101983, 103836, 105879, 109954, 32149, 9174, 106483, 119178, 108134, 30512, 55999, 19361, 56051, 31431, 5486, 20834, 61826, 101513, 97518, 16144, 123357, 32938, 30512, 122908, 39880, 54926, 102677, 109335, 57903, 33541, 119520, 5486, 106581, 113841, 15682, 114181, 101426, 19732, 108010, 76947, 33122, 101275, 9554, 31634, 72238, 1811, 110924, 30512, 104405, 78698, 105262, 32149, 15682, 111108, 102800, 110229, 32977, 57903, 33541, 118844, 55031, 112169, 34171, 30512, 105184, 80195, 109768, 47884, 5486, 102083, 100472, 38574, 106090, 125651, 9174, 102131, 112130, 5486, 78183, 107277, 79721, 1811, 110589, 15682, 33334, 112008, 102800, 16325, 108948, 82973, 30512, 16995, 90620, 50834, 124097, 20230, 85777, 19732, 77121, 16995, 79721, 1811, 111828, 30358, 126738, 87177, 30512, 121771, 98369, 17885, 118, 107800, 106592, 99750, 118835, 78434, 9174, 127123, 113841, 105617, 29411, 14711, 83639, 17039, 16144 ]
[ 124773, 91482, 109496, 198, 13177, 116414, 5486, 110924, 91006, 102677, 119208, 20230, 114754, 120824, 104028, 106548, 103214, 64121, 126694, 30369, 118133, 38144, 59739, 28713, 102802, 10646, 29295, 30832, 64467, 17663, 17039, 102800, 104412, 16144, 105335, 106696, 320, 2366, 16, 13, 2371, 13, 2437, 340, 120366, 16144, 42634, 102663, 30590, 116348, 31431, 16556, 124981, 38248, 255, 94550, 103223, 39880, 115247, 102433, 117903, 87447, 119619, 30512, 30832, 64467, 17663, 5486, 76171, 66953, 65299, 102860, 105335, 84477, 122060, 114435, 16144, 114099, 102669, 320, 2366, 16, 13, 2437, 13, 777, 340, 13177, 117262, 101, 71493, 115691, 102514, 15682, 102433, 106581, 16144, 43167, 103664, 30590, 10646, 117262, 101, 107430, 17792, 46034, 123575, 105514, 20230, 104655, 47884, 5486, 102616, 20230, 45918, 229, 104028, 102433, 16144, 101523, 227, 48634, 19732, 58426, 108044, 58942, 24273, 320, 2366, 16, 13, 1721, 13, 1591, 340, 11144, 102433, 20230, 101987, 104004, 48915, 29504, 17792, 20230, 50834, 47884, 37461, 13, 220, 18, 11199, 101198, 105621, 64178, 9458, 99959, 33710, 106240, 105514, 13177, 104195, 47884, 38144, 58666, 102800, 123746, 102057, 226, 35894, 46034, 1811, 108044, 105156, 106581, 30512, 109205, 69978, 54926, 102052, 5486, 17792, 19732, 117501, 30512, 27384, 102769, 20230, 101662, 125655, 100909, 10646, 320, 2366, 15, 13, 717, 13, 1419, 340, 17039, 113638, 126036, 13177, 88356, 21990, 10646, 126038, 114050, 126636, 124533, 26854, 58254, 252, 31431, 121423, 16556, 105525, 17905, 103188, 86436, 111575, 30512, 61304, 108565, 1811, 109249, 103768, 112167, 16144, 107420, 29295, 78698, 105262, 85701, 117758, 113146, 16144, 109249, 16144, 19000, 31431, 24273, 320, 2366, 15, 13, 717, 13, 972, 340, 47260, 42634, 96452, 54656, 235, 72661, 37507, 75267, 30046, 115079, 5486, 106613, 112167, 111108, 16144, 114181, 101426, 102923, 102332, 30512, 105525, 17905, 806, 98406, 20230, 1811, 124131, 103927, 30512, 102472, 114265, 20230, 119208, 16144, 118028, 76428, 115307, 30512, 104412, 17792, 103984, 28542, 16556, 108044, 105262, 715, 3247, 5091, 3378, 16144, 53953, 102158, 320, 2366, 15, 13, 717, 13, 806, 340, 11144, 103359, 111813, 11199, 68408, 113649, 105404, 116806, 20251, 62903, 16073, 118901, 105514, 865, 105913, 33503, 127960, 9458, 58911, 101129, 119619, 105514, 45631, 102433, 16144, 114181, 101426, 30590, 15682, 2118, 59739, 17129, 110104, 56907, 71493, 105335, 68759, 11972, 9458, 76739, 29220, 118347, 37823, 76739, 107446, 16144, 70141, 115442, 59614, 116156, 10646, 320, 2366, 15, 13, 717, 13, 2371, 340, 47260, 42634, 96452, 54656, 235, 72661, 120999, 9039, 18, 98406, 45631, 26854, 105352, 100604, 118587, 114181, 101426, 103087, 39084, 20230, 104721, 105262, 5486, 118331, 25005, 236, 108941, 33710, 26854, 104412, 16144, 105335, 106696, 30512, 30832, 64467, 17663, 71493, 61398, 57933, 25197, 16144, 114099, 102669, 320, 2366, 15, 13, 806, 13, 1187, 340, 11144, 102433, 20230, 101987, 104004, 48915, 29504, 17792, 20230, 50834, 47884, 37461, 13, 17, 11199, 106826, 104774, 16073, 9458, 105988, 65299, 76739, 125135, 105514, 13177, 51330, 109688, 101513, 109860, 127105, 21990, 17129, 103468, 82973, 30512, 107740, 39926, 112160, 114262, 20230, 113727, 100481, 50834, 17129, 109954, 10646, 320, 2366, 15, 13, 806, 13, 806, 340, 11144, 102433, 20230, 101987, 104004, 48915, 29504, 17792, 20230, 50834, 47884, 37461, 13, 16, 11199, 39880, 44971, 107840, 9458, 107487, 105514, 13177, 37271, 127105, 30590, 24186, 111363, 103926, 40474, 30512, 114284, 125119, 17663, 110018, 1811, 103926, 106046, 114774, 31431, 127105, 29295, 5486, 114181, 101426, 16144, 120987, 30512, 125174, 87447, 47884, 71493, 104603, 115717, 33541, 10646, 320, 2366, 15, 13, 605, 13, 966, 8, 128001, 128000, 2, 113204, 245, 70203, 16144, 47260, 103223, 19732, 115541, 108710, 41007, 104926, 109163, 70203, 115541, 108710, 112197, 125683, 62004, 39880, 115507, 198, 61304, 107121, 110731, 44915, 15682, 679, 22, 8107, 2545, 9953, 2304, 9080, 39177, 28542, 16144, 102944, 38641, 1811, 112599, 16144, 108134, 19732, 108901, 109020, 125396, 115991, 33541, 105879, 5486, 48154, 35287, 105005, 72315, 9174, 53900, 5486, 77219, 20230, 61304, 107121, 110731, 108134, 15682, 102099, 113160, 49988, 16556, 48154, 76706, 11883, 16995, 90620, 50834, 123213, 77219, 16144, 44915, 123863, 30926, 105904, 109853, 15682, 5486, 114363, 103722, 46729, 50667, 20230, 50021, 111813, 54926, 104466, 39926, 72315, 9174, 109163, 70203, 107118, 5486, 104575, 16556, 108710, 30297, 100909, 16144, 100604, 105994, 26854, 111331, 122282, 41007, 116787, 5486, 103892, 16556, 122282, 54926, 100909, 119627, 5486, 37689, 48915, 19732, 119436, 101983, 114598, 106084, 100604, 102677, 24273, 32977, 107991, 123253, 1811, 106222, 117158, 38144, 103801, 116285, 122282, 101513, 102677, 104622, 33121, 102944, 124905, 116285, 16995, 126910, 72661, 122282, 125545, 1811, 112825, 110904, 26854, 102780, 15024, 70203, 5486, 113801, 70203, 105110, 108608, 102677, 24273, 15682, 43240, 47884, 111243, 5486, 115856, 76622, 70203, 71289, 111017, 31431, 70203, 29295, 17701, 76947, 47884, 104533, 109163, 70203, 77181, 106084, 100604, 102677, 24273, 29295, 43240, 117201, 109954, 9174, 37271, 18904, 15682, 5486, 112832, 72661, 109163, 70203, 29295, 106084, 30369, 101200, 108176, 109163, 70203, 16144, 47260, 103223, 71289, 115541, 108710, 41007, 104309, 30512, 48154, 126362, 109768, 50834, 33541, 9174, 567, 113204, 245, 70203, 29295, 107202, 46034, 26854, 114667, 198, 109163, 70203, 15682, 5486, 103892, 107809, 16556, 122282, 54926, 100909, 119627, 5486, 122282, 101513, 104309, 19732, 121953, 13177, 56965, 108010, 30297, 100909, 103470, 122282, 108608, 32149, 102677, 100909, 71289, 123334, 71289, 22957, 106624, 109020, 112973, 62004, 124592, 47884, 65316, 66383, 95604, 24273, 29295, 109163, 70203, 29295, 107202, 46034, 26854, 24273, 16144, 101427, 122, 70141, 103306, 104195, 16995, 38641, 118855, 5486, 39850, 102494, 124905, 100472, 31431, 5486, 122282, 101513, 20230, 117943, 30369, 101427, 122, 70141, 115991, 33541, 1811, 119627, 5486, 103892, 16556, 127637, 20230, 122282, 39926, 103801, 33334, 30297, 19732, 113727, 100934, 103846, 111108, 106624, 91763, 30297, 16144, 38641, 9174, 103350, 104983, 20230, 109163, 70203, 29295, 50928, 37689, 26854, 17792, 112987, 111201, 112825, 110904, 20230, 5486, 103856, 47884, 103899, 58942, 30512, 121406, 111201, 121801, 30512, 22324, 102532, 61689, 1811, 24186, 104680, 70203, 9039, 29295, 107202, 46034, 109860, 102677, 109335, 116690, 103470, 5486, 107202, 46034, 26854, 24273, 72661, 47260, 103223, 30813, 58942, 59739, 32149, 62004, 81219, 119436, 101983, 114598, 30250, 227, 16995, 102677, 109335, 103470, 5486, 109163, 70203, 29295, 106084, 30369, 101200, 115717, 33541, 1811, 109163, 70203, 15682, 5486, 115364, 71289, 31431, 126172, 16995, 122282, 41007, 30512, 103892, 16556, 103792, 105879, 5486, 105994, 20230, 105693, 122282, 41007, 104088, 126268, 17129, 109954, 9174, 567, 113204, 245, 70203, 16144, 47260, 103223, 107429, 111, 15024, 70203, 5486, 113801, 70203, 198, 14711, 107429, 111, 15024, 70203, 16144, 47260, 103223, 198, 15120, 87217, 27384, 30926, 26854, 47260, 103223, 15682, 13177, 83687, 30512, 37087, 38144, 112825, 162, 66391, 20230, 27384, 33014, 16144, 83687, 20230, 21405, 17663, 100909, 66383, 114598, 112825, 110904, 38641, 1811, 27452, 116285, 36896, 6549, 66383, 95604, 104398, 121867, 83687, 105110, 13177, 4364, 66383, 27384, 33014, 16144, 83687, 116446, 114732, 100909, 38641, 1811, 108729, 112535, 114626, 16144, 102663, 47307, 30512, 15, 117657, 118733, 122282, 15024, 126172, 115737, 31431, 33541, 66327, 6549, 10646, 105110, 20, 16144, 102663, 47307, 30512, 13177, 15, 10646, 117657, 100909, 1811, 33671, 15682, 5486, 75694, 121710, 111842, 27384, 112495, 83687, 55031, 27384, 33014, 16144, 83687, 20230, 15024, 5486, 122282, 109768, 50834, 33541, 9174, 27452, 13177, 6549, 10, 3264, 104023, 10646, 102677, 29430, 16556, 127564, 13177, 4364, 10, 1954, 104023, 10646, 102677, 29430, 116446, 108618, 111331, 36896, 20, 66383, 13177, 23, 118587, 102780, 78434, 66327, 4364, 10, 1954, 104023, 8848, 59712, 20, 10, 23, 104023, 1032, 10646, 110382, 16556, 110745, 33014, 16144, 83687, 116446, 122282, 56051, 103899, 58942, 30512, 102780, 78434, 66327, 8848, 10, 1032, 104023, 12533, 10646, 37689, 48915, 19732, 112825, 110904, 36785, 106046, 100472, 24273, 32977, 107991, 123253, 1811, 109163, 70203, 29295, 50928, 37689, 26854, 116537, 51330, 104466, 16995, 111201, 112825, 110904, 20230, 122282, 54926, 32149, 30512, 113727, 100934, 16144, 38641, 1811, 104398, 121867, 83687, 30512, 57207, 108969, 33710, 117657, 106592, 103892, 109156, 106824, 33334, 47884, 105908, 47260, 103223, 112028, 59739, 38641, 9174, 14711, 126313, 50834, 70203, 16144, 47260, 103223, 198, 113801, 70203, 72661, 13177, 83687, 30512, 37087, 38144, 112825, 162, 66391, 20230, 27384, 33014, 16144, 83687, 20230, 21405, 17663, 10646, 109335, 112361, 38641, 1811, 27452, 13177, 5728, 12, 1927, 104023, 10646, 102677, 29430, 16556, 127564, 13177, 2031, 12, 966, 104023, 10646, 20230, 78434, 1811, 79982, 9039, 103306, 27384, 33014, 33208, 56051, 13177, 19, 66383, 13177, 21, 10646, 32977, 113801, 33541, 66327, 19, 12, 21, 104023, 10646, 51330, 104466, 21405, 78434, 66327, 2031, 12, 966, 104023, 1272, 59712, 19, 12, 21, 104023, 12, 17, 66383, 95604, 29430, 29295, 106084, 33541, 1811, 114626, 20230, 110176, 24273, 55031, 16556, 28713, 103899, 58942, 30512, 113801, 33541, 66327, 1272, 12, 17, 104023, 1987, 66383, 26854, 31431, 33541, 9174, 126843, 15682, 75694, 121710, 31431, 16556, 104712, 16144, 38641, 1811, 83687, 30512, 16995, 111201, 112825, 110904, 20230, 104398, 121867, 83687, 30512, 57207, 108969, 33710, 117657, 107188, 16144, 38641, 1811, 113801, 70203, 120332, 29295, 111108, 21105, 251, 30297, 19732, 116875, 108324, 107407, 24273, 32977, 107991, 123253, 119520, 5486, 120098, 103306, 15682, 102780, 15024, 70203, 127303, 103950, 29295, 113801, 70203, 127303, 103950, 29295, 5486, 83687, 30512, 27384, 33014, 33208, 54926, 106592, 103892, 109156, 106824, 33334, 76622, 81219, 5486, 105994, 26854, 111331, 29430, 30512, 112825, 110904, 20230, 19967, 30369, 105908, 125545, 1811, 17620, 107277, 126172, 16995, 29430, 116446, 122765, 30369, 118733, 103892, 16556, 50338, 47884, 126101, 50338, 50834, 126172, 115737, 31431, 33541, 9174, 567, 113204, 245, 70203, 16144, 47260, 103223, 47702, 249, 76622, 70203, 5486, 111017, 31431, 70203, 198, 109163, 70203, 16144, 47260, 103223, 30512, 102780, 15024, 70203, 5486, 113801, 70203, 16144, 17, 59739, 30512, 48154, 126362, 121256, 29295, 5486, 115856, 76622, 70203, 19732, 111017, 31431, 70203, 32977, 48154, 126362, 78434, 1811, 115856, 76622, 70203, 5486, 111017, 31431, 70203, 16144, 109163, 70203, 29295, 106084, 30369, 101200, 101983, 104533, 5486, 115320, 64121, 38093, 71289, 102456, 30926, 38093, 16144, 104983, 16144, 111017, 31431, 53508, 246, 16144, 122282, 20230, 33655, 107800, 31431, 5486, 33420, 106382, 85188, 16144, 122282, 29295, 108608, 101200, 115717, 5486, 9080, 40053, 104654, 125030, 111243, 107734, 121697, 30369, 105908, 125545, 9174, 115856, 76622, 70203, 15682, 5486, 102780, 15024, 70203, 71289, 113801, 70203, 105755, 111108, 102800, 104466, 91763, 61689, 29295, 5486, 108729, 109904, 113727, 24273, 15682, 112361, 38641, 1811, 83687, 30512, 78183, 107277, 126172, 47884, 5486, 122282, 15024, 126172, 16995, 83687, 20230, 27384, 33014, 33208, 39926, 122282, 78434, 9174, 14711, 47702, 249, 76622, 70203, 16144, 47260, 103223, 198, 27452, 7705, 13177, 3264, 18028, 1958, 104023, 10646, 102677, 29430, 16556, 127564, 36896, 3264, 118587, 13177, 1041, 10646, 20230, 78434, 66327, 1041, 18028, 1958, 104023, 13679, 15, 66383, 26854, 31431, 33541, 1811, 104856, 104533, 33671, 15682, 110745, 33014, 33208, 39926, 13177, 1041, 10646, 20230, 56051, 83687, 19732, 24186, 16144, 13177, 3264, 117503, 125144, 104364, 30512, 122282, 78434, 66327, 1041, 12, 3264, 104023, 17, 66383, 26854, 31431, 33541, 124845, 13177, 17, 18028, 1958, 104023, 2614, 126557, 123011, 62004, 104533, 36896, 1041, 18028, 1958, 104023, 13679, 15, 59712, 1041, 12, 3264, 104023, 17, 59712, 17, 18028, 1958, 104023, 2614, 59712, 13679, 15, 12, 2614, 104023, 8765, 17, 66383, 95604, 103899, 58942, 115717, 33541, 9174, 13177, 1041, 10646, 20230, 60358, 16995, 83687, 105110, 81219, 13177, 1041, 10646, 116446, 106116, 102717, 32149, 5486, 108729, 112535, 78183, 107277, 126172, 47884, 122282, 15024, 126172, 16995, 102769, 111331, 126521, 83687, 20230, 27384, 33014, 33208, 54926, 118733, 109163, 70203, 15024, 126172, 115737, 31431, 33541, 1811, 27452, 7705, 13177, 843, 18028, 4370, 104023, 10646, 102677, 29430, 16556, 127564, 13177, 843, 118587, 13177, 966, 10646, 20230, 66327, 966, 18028, 4370, 104023, 10674, 15, 59712, 17, 18028, 4370, 104023, 6640, 59712, 10674, 15, 10, 6640, 104023, 10861, 23, 126557, 51330, 126513, 36896, 843, 118587, 13177, 966, 10646, 20230, 31809, 30813, 47884, 4172, 17, 8, 103792, 103846, 5486, 114626, 20230, 13177, 17, 18028, 4370, 104023, 6640, 118587, 102780, 78434, 9174, 14711, 104037, 110, 31431, 70203, 16144, 47260, 103223, 198, 111017, 31431, 70203, 15682, 114715, 111108, 106624, 26854, 31431, 33541, 1811, 103350, 104983, 20230, 122282, 101513, 124905, 78183, 100604, 19732, 78183, 55031, 104435, 31431, 54926, 107803, 32977, 57903, 33541, 1811, 119627, 5486, 17, 102663, 47307, 120264, 16144, 126513, 109163, 70203, 16556, 50338, 47884, 105908, 125545, 1811, 47260, 103223, 15682, 5486, 115856, 76622, 70203, 16144, 39177, 19732, 102717, 19732, 124592, 112361, 16556, 110745, 33014, 33208, 109768, 50834, 33541, 9174, 27452, 7705, 13177, 6549, 21, 123052, 1313, 104023, 10646, 102677, 29430, 16556, 127564, 36896, 6549, 21, 118587, 78183, 107277, 126172, 47884, 122282, 15024, 126172, 16995, 83687, 20230, 27384, 33014, 33208, 78434, 66327, 6549, 21, 118587, 13177, 5894, 15, 10646, 20230, 78434, 124845, 110745, 33014, 33208, 56051, 83687, 13177, 5894, 15, 66383, 24186, 16144, 83687, 13177, 6549, 21, 10646, 125144, 104364, 30512, 122282, 78434, 109807, 104364, 30512, 27384, 33014, 33208, 32977, 99849, 32977, 109768, 100604, 74482, 85791, 16144, 83687, 19732, 111017, 31431, 110745, 33014, 33208, 56051, 125344, 103899, 58942, 55031, 73686, 126145, 117475, 16144, 103899, 58942, 125334, 38144, 50834, 33541, 9174, 123011, 62004, 104533, 5486, 5894, 15, 123052, 1313, 104023, 2946, 220, 5894, 15, 12, 6549, 21, 104023, 2096, 220, 2096 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 124773, 91482, 109496, 198, 13177, 116414, 5486, 110924, 91006, 102677, 119208, 20230, 114754, 120824, 104028, 106548, 103214, 64121, 126694, 30369, 118133, 38144, 59739, 28713, 102802, 10646, 29295, 30832, 64467, 17663, 17039, 102800, 104412, 16144, 105335, 106696, 320, 2366, 16, 13, 2371, 13, 2437, 340, 120366, 16144, 42634, 102663, 30590, 116348, 31431, 16556, 124981, 38248, 255, 94550, 103223, 39880, 115247, 102433, 117903, 87447, 119619, 30512, 30832, 64467, 17663, 5486, 76171, 66953, 65299, 102860, 105335, 84477, 122060, 114435, 16144, 114099, 102669, 320, 2366, 16, 13, 2437, 13, 777, 340, 13177, 117262, 101, 71493, 115691, 102514, 15682, 102433, 106581, 16144, 43167, 103664, 30590, 10646, 117262, 101, 107430, 17792, 46034, 123575, 105514, 20230, 104655, 47884, 5486, 102616, 20230, 45918, 229, 104028, 102433, 16144, 101523, 227, 48634, 19732, 58426, 108044, 58942, 24273, 320, 2366, 16, 13, 1721, 13, 1591, 340, 11144, 102433, 20230, 101987, 104004, 48915, 29504, 17792, 20230, 50834, 47884, 37461, 13, 220, 18, 11199, 101198, 105621, 64178, 9458, 99959, 33710, 106240, 105514, 13177, 104195, 47884, 38144, 58666, 102800, 123746, 102057, 226, 35894, 46034, 1811, 108044, 105156, 106581, 30512, 109205, 69978, 54926, 102052, 5486, 17792, 19732, 117501, 30512, 27384, 102769, 20230, 101662, 125655, 100909, 10646, 320, 2366, 15, 13, 717, 13, 1419, 340, 17039, 113638, 126036, 13177, 88356, 21990, 10646, 126038, 114050, 126636, 124533, 26854, 58254, 252, 31431, 121423, 16556, 105525, 17905, 103188, 86436, 111575, 30512, 61304, 108565, 1811, 109249, 103768, 112167, 16144, 107420, 29295, 78698, 105262, 85701, 117758, 113146, 16144, 109249, 16144, 19000, 31431, 24273, 320, 2366, 15, 13, 717, 13, 972, 340, 47260, 42634, 96452, 54656, 235, 72661, 37507, 75267, 30046, 115079, 5486, 106613, 112167, 111108, 16144, 114181, 101426, 102923, 102332, 30512, 105525, 17905, 806, 98406, 20230, 1811, 124131, 103927, 30512, 102472, 114265, 20230, 119208, 16144, 118028, 76428, 115307, 30512, 104412, 17792, 103984, 28542, 16556, 108044, 105262, 715, 3247, 5091, 3378, 16144, 53953, 102158, 320, 2366, 15, 13, 717, 13, 806, 340, 11144, 103359, 111813, 11199, 68408, 113649, 105404, 116806, 20251, 62903, 16073, 118901, 105514, 865, 105913, 33503, 127960, 9458, 58911, 101129, 119619, 105514, 45631, 102433, 16144, 114181, 101426, 30590, 15682, 2118, 59739, 17129, 110104, 56907, 71493, 105335, 68759, 11972, 9458, 76739, 29220, 118347, 37823, 76739, 107446, 16144, 70141, 115442, 59614, 116156, 10646, 320, 2366, 15, 13, 717, 13, 2371, 340, 47260, 42634, 96452, 54656, 235, 72661, 120999, 9039, 18, 98406, 45631, 26854, 105352, 100604, 118587, 114181, 101426, 103087, 39084, 20230, 104721, 105262, 5486, 118331, 25005, 236, 108941, 33710, 26854, 104412, 16144, 105335, 106696, 30512, 30832, 64467, 17663, 71493, 61398, 57933, 25197, 16144, 114099, 102669, 320, 2366, 15, 13, 806, 13, 1187, 340, 11144, 102433, 20230, 101987, 104004, 48915, 29504, 17792, 20230, 50834, 47884, 37461, 13, 17, 11199, 106826, 104774, 16073, 9458, 105988, 65299, 76739, 125135, 105514, 13177, 51330, 109688, 101513, 109860, 127105, 21990, 17129, 103468, 82973, 30512, 107740, 39926, 112160, 114262, 20230, 113727, 100481, 50834, 17129, 109954, 10646, 320, 2366, 15, 13, 806, 13, 806, 340, 11144, 102433, 20230, 101987, 104004, 48915, 29504, 17792, 20230, 50834, 47884, 37461, 13, 16, 11199, 39880, 44971, 107840, 9458, 107487, 105514, 13177, 37271, 127105, 30590, 24186, 111363, 103926, 40474, 30512, 114284, 125119, 17663, 110018, 1811, 103926, 106046, 114774, 31431, 127105, 29295, 5486, 114181, 101426, 16144, 120987, 30512, 125174, 87447, 47884, 71493, 104603, 115717, 33541, 10646, 320, 2366, 15, 13, 605, 13, 966, 8, 128001, 128000, 2, 113204, 245, 70203, 16144, 47260, 103223, 19732, 115541, 108710, 41007, 104926, 109163, 70203, 115541, 108710, 112197, 125683, 62004, 39880, 115507, 198, 61304, 107121, 110731, 44915, 15682, 679, 22, 8107, 2545, 9953, 2304, 9080, 39177, 28542, 16144, 102944, 38641, 1811, 112599, 16144, 108134, 19732, 108901, 109020, 125396, 115991, 33541, 105879, 5486, 48154, 35287, 105005, 72315, 9174, 53900, 5486, 77219, 20230, 61304, 107121, 110731, 108134, 15682, 102099, 113160, 49988, 16556, 48154, 76706, 11883, 16995, 90620, 50834, 123213, 77219, 16144, 44915, 123863, 30926, 105904, 109853, 15682, 5486, 114363, 103722, 46729, 50667, 20230, 50021, 111813, 54926, 104466, 39926, 72315, 9174, 109163, 70203, 107118, 5486, 104575, 16556, 108710, 30297, 100909, 16144, 100604, 105994, 26854, 111331, 122282, 41007, 116787, 5486, 103892, 16556, 122282, 54926, 100909, 119627, 5486, 37689, 48915, 19732, 119436, 101983, 114598, 106084, 100604, 102677, 24273, 32977, 107991, 123253, 1811, 106222, 117158, 38144, 103801, 116285, 122282, 101513, 102677, 104622, 33121, 102944, 124905, 116285, 16995, 126910, 72661, 122282, 125545, 1811, 112825, 110904, 26854, 102780, 15024, 70203, 5486, 113801, 70203, 105110, 108608, 102677, 24273, 15682, 43240, 47884, 111243, 5486, 115856, 76622, 70203, 71289, 111017, 31431, 70203, 29295, 17701, 76947, 47884, 104533, 109163, 70203, 77181, 106084, 100604, 102677, 24273, 29295, 43240, 117201, 109954, 9174, 37271, 18904, 15682, 5486, 112832, 72661, 109163, 70203, 29295, 106084, 30369, 101200, 108176, 109163, 70203, 16144, 47260, 103223, 71289, 115541, 108710, 41007, 104309, 30512, 48154, 126362, 109768, 50834, 33541, 9174, 567, 113204, 245, 70203, 29295, 107202, 46034, 26854, 114667, 198, 109163, 70203, 15682, 5486, 103892, 107809, 16556, 122282, 54926, 100909, 119627, 5486, 122282, 101513, 104309, 19732, 121953, 13177, 56965, 108010, 30297, 100909, 103470, 122282, 108608, 32149, 102677, 100909, 71289, 123334, 71289, 22957, 106624, 109020, 112973, 62004, 124592, 47884, 65316, 66383, 95604, 24273, 29295, 109163, 70203, 29295, 107202, 46034, 26854, 24273, 16144, 101427, 122, 70141, 103306, 104195, 16995, 38641, 118855, 5486, 39850, 102494, 124905, 100472, 31431, 5486, 122282, 101513, 20230, 117943, 30369, 101427, 122, 70141, 115991, 33541, 1811, 119627, 5486, 103892, 16556, 127637, 20230, 122282, 39926, 103801, 33334, 30297, 19732, 113727, 100934, 103846, 111108, 106624, 91763, 30297, 16144, 38641, 9174, 103350, 104983, 20230, 109163, 70203, 29295, 50928, 37689, 26854, 17792, 112987, 111201, 112825, 110904, 20230, 5486, 103856, 47884, 103899, 58942, 30512, 121406, 111201, 121801, 30512, 22324, 102532, 61689, 1811, 24186, 104680, 70203, 9039, 29295, 107202, 46034, 109860, 102677, 109335, 116690, 103470, 5486, 107202, 46034, 26854, 24273, 72661, 47260, 103223, 30813, 58942, 59739, 32149, 62004, 81219, 119436, 101983, 114598, 30250, 227, 16995, 102677, 109335, 103470, 5486, 109163, 70203, 29295, 106084, 30369, 101200, 115717, 33541, 1811, 109163, 70203, 15682, 5486, 115364, 71289, 31431, 126172, 16995, 122282, 41007, 30512, 103892, 16556, 103792, 105879, 5486, 105994, 20230, 105693, 122282, 41007, 104088, 126268, 17129, 109954, 9174, 567, 113204, 245, 70203, 16144, 47260, 103223, 107429, 111, 15024, 70203, 5486, 113801, 70203, 198, 14711, 107429, 111, 15024, 70203, 16144, 47260, 103223, 198, 15120, 87217, 27384, 30926, 26854, 47260, 103223, 15682, 13177, 83687, 30512, 37087, 38144, 112825, 162, 66391, 20230, 27384, 33014, 16144, 83687, 20230, 21405, 17663, 100909, 66383, 114598, 112825, 110904, 38641, 1811, 27452, 116285, 36896, 6549, 66383, 95604, 104398, 121867, 83687, 105110, 13177, 4364, 66383, 27384, 33014, 16144, 83687, 116446, 114732, 100909, 38641, 1811, 108729, 112535, 114626, 16144, 102663, 47307, 30512, 15, 117657, 118733, 122282, 15024, 126172, 115737, 31431, 33541, 66327, 6549, 10646, 105110, 20, 16144, 102663, 47307, 30512, 13177, 15, 10646, 117657, 100909, 1811, 33671, 15682, 5486, 75694, 121710, 111842, 27384, 112495, 83687, 55031, 27384, 33014, 16144, 83687, 20230, 15024, 5486, 122282, 109768, 50834, 33541, 9174, 27452, 13177, 6549, 10, 3264, 104023, 10646, 102677, 29430, 16556, 127564, 13177, 4364, 10, 1954, 104023, 10646, 102677, 29430, 116446, 108618, 111331, 36896, 20, 66383, 13177, 23, 118587, 102780, 78434, 66327, 4364, 10, 1954, 104023, 8848, 59712, 20, 10, 23, 104023, 1032, 10646, 110382, 16556, 110745, 33014, 16144, 83687, 116446, 122282, 56051, 103899, 58942, 30512, 102780, 78434, 66327, 8848, 10, 1032, 104023, 12533, 10646, 37689, 48915, 19732, 112825, 110904, 36785, 106046, 100472, 24273, 32977, 107991, 123253, 1811, 109163, 70203, 29295, 50928, 37689, 26854, 116537, 51330, 104466, 16995, 111201, 112825, 110904, 20230, 122282, 54926, 32149, 30512, 113727, 100934, 16144, 38641, 1811, 104398, 121867, 83687, 30512, 57207, 108969, 33710, 117657, 106592, 103892, 109156, 106824, 33334, 47884, 105908, 47260, 103223, 112028, 59739, 38641, 9174, 14711, 126313, 50834, 70203, 16144, 47260, 103223, 198, 113801, 70203, 72661, 13177, 83687, 30512, 37087, 38144, 112825, 162, 66391, 20230, 27384, 33014, 16144, 83687, 20230, 21405, 17663, 10646, 109335, 112361, 38641, 1811, 27452, 13177, 5728, 12, 1927, 104023, 10646, 102677, 29430, 16556, 127564, 13177, 2031, 12, 966, 104023, 10646, 20230, 78434, 1811, 79982, 9039, 103306, 27384, 33014, 33208, 56051, 13177, 19, 66383, 13177, 21, 10646, 32977, 113801, 33541, 66327, 19, 12, 21, 104023, 10646, 51330, 104466, 21405, 78434, 66327, 2031, 12, 966, 104023, 1272, 59712, 19, 12, 21, 104023, 12, 17, 66383, 95604, 29430, 29295, 106084, 33541, 1811, 114626, 20230, 110176, 24273, 55031, 16556, 28713, 103899, 58942, 30512, 113801, 33541, 66327, 1272, 12, 17, 104023, 1987, 66383, 26854, 31431, 33541, 9174, 126843, 15682, 75694, 121710, 31431, 16556, 104712, 16144, 38641, 1811, 83687, 30512, 16995, 111201, 112825, 110904, 20230, 104398, 121867, 83687, 30512, 57207, 108969, 33710, 117657, 107188, 16144, 38641, 1811, 113801, 70203, 120332, 29295, 111108, 21105, 251, 30297, 19732, 116875, 108324, 107407, 24273, 32977, 107991, 123253, 119520, 5486, 120098, 103306, 15682, 102780, 15024, 70203, 127303, 103950, 29295, 113801, 70203, 127303, 103950, 29295, 5486, 83687, 30512, 27384, 33014, 33208, 54926, 106592, 103892, 109156, 106824, 33334, 76622, 81219, 5486, 105994, 26854, 111331, 29430, 30512, 112825, 110904, 20230, 19967, 30369, 105908, 125545, 1811, 17620, 107277, 126172, 16995, 29430, 116446, 122765, 30369, 118733, 103892, 16556, 50338, 47884, 126101, 50338, 50834, 126172, 115737, 31431, 33541, 9174, 567, 113204, 245, 70203, 16144, 47260, 103223, 47702, 249, 76622, 70203, 5486, 111017, 31431, 70203, 198, 109163, 70203, 16144, 47260, 103223, 30512, 102780, 15024, 70203, 5486, 113801, 70203, 16144, 17, 59739, 30512, 48154, 126362, 121256, 29295, 5486, 115856, 76622, 70203, 19732, 111017, 31431, 70203, 32977, 48154, 126362, 78434, 1811, 115856, 76622, 70203, 5486, 111017, 31431, 70203, 16144, 109163, 70203, 29295, 106084, 30369, 101200, 101983, 104533, 5486, 115320, 64121, 38093, 71289, 102456, 30926, 38093, 16144, 104983, 16144, 111017, 31431, 53508, 246, 16144, 122282, 20230, 33655, 107800, 31431, 5486, 33420, 106382, 85188, 16144, 122282, 29295, 108608, 101200, 115717, 5486, 9080, 40053, 104654, 125030, 111243, 107734, 121697, 30369, 105908, 125545, 9174, 115856, 76622, 70203, 15682, 5486, 102780, 15024, 70203, 71289, 113801, 70203, 105755, 111108, 102800, 104466, 91763, 61689, 29295, 5486, 108729, 109904, 113727, 24273, 15682, 112361, 38641, 1811, 83687, 30512, 78183, 107277, 126172, 47884, 5486, 122282, 15024, 126172, 16995, 83687, 20230, 27384, 33014, 33208, 39926, 122282, 78434, 9174, 14711, 47702, 249, 76622, 70203, 16144, 47260, 103223, 198, 27452, 7705, 13177, 3264, 18028, 1958, 104023, 10646, 102677, 29430, 16556, 127564, 36896, 3264, 118587, 13177, 1041, 10646, 20230, 78434, 66327, 1041, 18028, 1958, 104023, 13679, 15, 66383, 26854, 31431, 33541, 1811, 104856, 104533, 33671, 15682, 110745, 33014, 33208, 39926, 13177, 1041, 10646, 20230, 56051, 83687, 19732, 24186, 16144, 13177, 3264, 117503, 125144, 104364, 30512, 122282, 78434, 66327, 1041, 12, 3264, 104023, 17, 66383, 26854, 31431, 33541, 124845, 13177, 17, 18028, 1958, 104023, 2614, 126557, 123011, 62004, 104533, 36896, 1041, 18028, 1958, 104023, 13679, 15, 59712, 1041, 12, 3264, 104023, 17, 59712, 17, 18028, 1958, 104023, 2614, 59712, 13679, 15, 12, 2614, 104023, 8765, 17, 66383, 95604, 103899, 58942, 115717, 33541, 9174, 13177, 1041, 10646, 20230, 60358, 16995, 83687, 105110, 81219, 13177, 1041, 10646, 116446, 106116, 102717, 32149, 5486, 108729, 112535, 78183, 107277, 126172, 47884, 122282, 15024, 126172, 16995, 102769, 111331, 126521, 83687, 20230, 27384, 33014, 33208, 54926, 118733, 109163, 70203, 15024, 126172, 115737, 31431, 33541, 1811, 27452, 7705, 13177, 843, 18028, 4370, 104023, 10646, 102677, 29430, 16556, 127564, 13177, 843, 118587, 13177, 966, 10646, 20230, 66327, 966, 18028, 4370, 104023, 10674, 15, 59712, 17, 18028, 4370, 104023, 6640, 59712, 10674, 15, 10, 6640, 104023, 10861, 23, 126557, 51330, 126513, 36896, 843, 118587, 13177, 966, 10646, 20230, 31809, 30813, 47884, 4172, 17, 8, 103792, 103846, 5486, 114626, 20230, 13177, 17, 18028, 4370, 104023, 6640, 118587, 102780, 78434, 9174, 14711, 104037, 110, 31431, 70203, 16144, 47260, 103223, 198, 111017, 31431, 70203, 15682, 114715, 111108, 106624, 26854, 31431, 33541, 1811, 103350, 104983, 20230, 122282, 101513, 124905, 78183, 100604, 19732, 78183, 55031, 104435, 31431, 54926, 107803, 32977, 57903, 33541, 1811, 119627, 5486, 17, 102663, 47307, 120264, 16144, 126513, 109163, 70203, 16556, 50338, 47884, 105908, 125545, 1811, 47260, 103223, 15682, 5486, 115856, 76622, 70203, 16144, 39177, 19732, 102717, 19732, 124592, 112361, 16556, 110745, 33014, 33208, 109768, 50834, 33541, 9174, 27452, 7705, 13177, 6549, 21, 123052, 1313, 104023, 10646, 102677, 29430, 16556, 127564, 36896, 6549, 21, 118587, 78183, 107277, 126172, 47884, 122282, 15024, 126172, 16995, 83687, 20230, 27384, 33014, 33208, 78434, 66327, 6549, 21, 118587, 13177, 5894, 15, 10646, 20230, 78434, 124845, 110745, 33014, 33208, 56051, 83687, 13177, 5894, 15, 66383, 24186, 16144, 83687, 13177, 6549, 21, 10646, 125144, 104364, 30512, 122282, 78434, 109807, 104364, 30512, 27384, 33014, 33208, 32977, 99849, 32977, 109768, 100604, 74482, 85791, 16144, 83687, 19732, 111017, 31431, 110745, 33014, 33208, 56051, 125344, 103899, 58942, 55031, 73686, 126145, 117475, 16144, 103899, 58942, 125334, 38144, 50834, 33541, 9174, 123011, 62004, 104533, 5486, 5894, 15, 123052, 1313, 104023, 2946, 220, 5894, 15, 12, 6549, 21, 104023, 2096, 220, 2096 ]
[ 123052, 1313, 104023, 17, 220, 2946, 12, 17, 104023, 3226, 102677, 103899, 58942, 115717, 33541, 1811, 111017, 31431, 70203, 15682, 114715, 111108, 106624, 110901, 109709, 10646, 125334, 30369, 115789, 101182, 103846, 5486, 37087, 38144, 109163, 70203, 16556, 50338, 76622, 104533, 15682, 78244, 58942, 107515, 9174, 567, 113204, 245, 70203, 30512, 115541, 108710, 119607, 198, 109163, 70203, 29295, 106084, 30369, 101200, 108176, 102052, 5486, 115541, 108710, 29295, 109947, 124490, 102083, 114598, 33334, 32149, 106624, 124897, 125939, 103296, 109163, 70203, 29295, 106084, 104435, 17792, 71289, 5486, 107202, 46034, 103351, 17792, 32977, 47260, 103223, 30512, 103892, 109156, 106824, 33334, 102532, 5486, 9080, 40053, 104654, 107809, 16556, 115541, 108710, 109768, 47884, 105908, 19732, 111243, 27384, 30926, 38641, 1811, 115541, 108710, 54926, 82973, 29295, 43568, 16995, 102677, 24273, 71289, 5486, 62004, 124592, 47884, 65316, 119150, 24273, 32977, 104157, 30369, 123253, 9174, 119627, 5486, 9080, 40053, 104654, 16556, 48154, 114053, 120650, 100472, 31431, 5486, 107691, 16995, 53953, 120650, 100472, 104983, 71289, 64810, 64178, 120650, 100472, 31431, 112990, 5486, 111017, 31431, 53508, 246, 71289, 33420, 106382, 85188, 5486, 111017, 73686, 121374, 123160, 83687, 19732, 74245, 28190, 78434, 1811, 107943, 39177, 29295, 115541, 108710, 54926, 109933, 107446, 126529, 38641, 1811, 115541, 108710, 30512, 108882, 64121, 30358, 101832, 38144, 38574, 104680, 19732, 103350, 124299, 109768, 50834, 17129, 109954, 1811, 9080, 40053, 104654, 116749, 72661, 109163, 70203, 16144, 115541, 108710, 123410, 41007, 30512, 126362, 78434, 9174, 14711, 113204, 245, 70203, 16144, 115541, 108710, 41007, 198, 115541, 108710, 41007, 103306, 27384, 30926, 26854, 112973, 121410, 9080, 124490, 32149, 30813, 101860, 20230, 115541, 108710, 54926, 100909, 119627, 5486, 107943, 121410, 9080, 114016, 43568, 22649, 102677, 24273, 32977, 104157, 30369, 123253, 1811, 119627, 5486, 109163, 70203, 15682, 9080, 40053, 104654, 20230, 102321, 104028, 83687, 30512, 107740, 39926, 115541, 108710, 123410, 115789, 125545, 9174, 126843, 15682, 5486, 108729, 16144, 47260, 103223, 30512, 115364, 103892, 109156, 33121, 100481, 47884, 100909, 55031, 27704, 62004, 17129, 109954, 1811, 31809, 106718, 11883, 16144, 122282, 45923, 37823, 33710, 30512, 38129, 56051, 31431, 39926, 5486, 75146, 17920, 236, 71289, 112825, 110904, 26854, 109606, 55031, 105994, 20230, 105693, 50338, 50834, 24273, 104088, 126268, 17129, 109954, 1811, 38574, 104680, 19732, 17905, 104067, 39926, 105898, 33503, 5486, 114715, 44971, 115882, 122060, 15024, 16, 102663, 47307, 115079, 71289, 39926, 64121, 115926, 5486, 102718, 68759, 22398, 122282, 71289, 5486, 109163, 70203, 20230, 66378, 33208, 56051, 100927, 103234, 30512, 38129, 56051, 31431, 78434, 9174, 115541, 108710, 30512, 99849, 27479, 32977, 23039, 30297, 118733, 122282, 16144, 103899, 58942, 16144, 80805, 102514, 16073, 30512, 112854, 105262, 105908, 103082, 5486, 109163, 70203, 120938, 104067, 107294, 105722, 31431, 33541, 115397, 87217, 115541, 108710, 15024, 126172, 16995, 112973, 9080, 40053, 104654, 113245, 107691, 16995, 53953, 71289, 5486, 98915, 17792, 110792, 102456, 30926, 5486, 64810, 64178, 104309, 29295, 109163, 70203, 16144, 115541, 108710, 107294, 105722, 31431, 33541, 1811, 105994, 16556, 37689, 109375, 39926, 96356, 16144, 18904, 111331, 83687, 104088, 59739, 107674, 33503, 122282, 54926, 100909, 38641, 1811, 128001, 128000, 90115, 103198, 96, 103242, 104599, 16144, 103478, 103682, 38641, 9174, 110382, 89046, 117073, 121854, 88399, 239, 16556, 112073, 103826, 33014, 104873, 15682, 27384, 121313, 123253, 32149, 11571, 508, 8107, 25580, 120264, 15682, 966, 112631, 72404, 107800, 33503, 121854, 88399, 239, 9080, 115226, 26854, 112391, 103351, 119150, 16144, 119627, 115515, 15682, 1272, 112631, 101983, 103950, 103306, 61689, 9174, 118899, 5486, 102452, 32943, 16556, 107969, 16325, 111571, 110276, 102677, 24273, 112197, 87177, 30512, 104655, 16995, 79721, 29295, 108149, 33121, 104043, 91763, 100472, 33503, 103892, 108631, 71289, 62004, 17129, 16995, 36785, 30369, 30813, 16556, 91875, 76622, 103470, 109020, 117840, 1811, 102452, 32943, 109860, 102083, 76947, 76622, 42891, 39926, 51385, 64209, 103082, 107515, 105879, 5486, 76739, 39880, 109713, 71289, 22957, 17129, 62004, 26854, 53610, 17620, 111983, 110698, 19732, 109431, 27479, 26854, 59657, 102, 17620, 111983, 110698, 126130, 125683, 62004, 78434, 9174, 165, 36246, 16995, 36668, 16144, 112073, 103826, 32977, 107969, 16325, 111571, 102052, 114392, 48154, 61633, 72315, 9174, 110589, 16144, 107969, 16325, 111571, 108134, 15682, 47260, 78459, 32131, 98115, 254, 198, 14711, 116804, 109, 16325, 111571, 20230, 61633, 6447, 1389, 116804, 109, 16325, 111571, 108134, 1389, 105180, 95221, 47523, 108975, 38093, 5899, 6780, 33328, 198, 110382, 103296, 88399, 239, 115737, 104533, 114516, 42016, 103826, 5486, 91875, 53953, 105459, 32977, 107969, 16325, 111571, 16144, 112997, 29220, 29295, 45736, 115737, 31431, 33541, 105879, 115515, 18904, 15682, 107969, 16325, 111571, 109853, 33334, 87177, 78434, 9174, 107969, 16325, 111571, 15682, 122603, 104840, 43240, 122539, 117501, 17297, 122692, 45736, 33014, 104840, 124001, 110645, 53610, 113468, 21990, 100204, 30369, 37087, 96356, 34171, 16144, 116436, 111694, 38641, 9174, 53900, 111476, 107969, 16325, 111571, 29295, 113385, 16556, 91875, 53953, 122412, 30512, 126238, 105047, 20230, 101682, 120761, 54926, 123044, 16144, 121993, 96455, 15682, 103664, 1135, 113127, 16556, 5486, 121993, 27452, 16144, 43240, 47884, 15682, 101682, 120761, 74482, 1187, 82973, 23897, 32943, 20230, 121993, 54926, 102083, 78183, 106824, 61689, 1811, 116804, 109, 16325, 111571, 29295, 30358, 27479, 16144, 126513, 109431, 102769, 26854, 71005, 109519, 117824, 114598, 105260, 102625, 96455, 15682, 45736, 115737, 31431, 33541, 9174, 111571, 103397, 103306, 15682, 111476, 90397, 246, 115716, 16144, 30297, 42891, 104473, 127253, 105843, 104473, 5486, 118430, 101171, 230, 5486, 124535, 103906, 94550, 5486, 115534, 110645, 5486, 117401, 21388, 104873, 5486, 103001, 242, 118328, 5486, 17297, 101576, 95, 5486, 89753, 96311, 236, 5486, 107084, 102669, 5486, 37689, 109375, 33420, 21388, 5486, 102404, 19967, 104309, 115991, 33541, 1811, 220, 159, 232, 253, 66378, 20230, 37689, 109375, 44971, 102832, 114615, 103167, 17297, 107407, 126513, 107188, 31431, 109688, 117126, 26854, 121894, 38641, 9174, 114516, 16144, 30358, 111571, 27479, 17620, 104770, 30512, 121846, 20230, 112990, 111476, 30358, 111571, 27479, 220, 71567, 254, 117826, 75267, 16556, 117271, 88367, 26854, 44971, 115882, 18049, 223, 17129, 16995, 9458, 21388, 101365, 198, 13177, 118013, 126910, 64121, 66383, 95604, 121894, 16556, 5486, 101171, 111, 111363, 104473, 89753, 29295, 112661, 56965, 112535, 16937, 105843, 17620, 110276, 106592, 20379, 15024, 93056, 107969, 21388, 101365, 863, 19732, 105324, 104369, 115789, 57903, 33541, 9174, 119049, 107079, 108631, 9458, 119049, 107079, 16144, 110567, 74245, 198, 119049, 107079, 16144, 13177, 22957, 104004, 33503, 104196, 31431, 117503, 118733, 106116, 105494, 16144, 108631, 64121, 30512, 112183, 61689, 1811, 102404, 123529, 20230, 112183, 30297, 59657, 102, 17620, 10110, 96452, 122148, 65299, 91062, 104309, 120732, 124490, 18259, 237, 112212, 21990, 100204, 33541, 9174, 46034, 102780, 16144, 21105, 111, 33121, 9458, 95221, 17620, 16144, 16937, 102395, 198, 30358, 111571, 27479, 220, 71567, 94, 124908, 109519, 101513, 97518, 16144, 101682, 120761, 29295, 109215, 26854, 44971, 115882, 110453, 255, 108631, 9458, 118328, 50834, 95221, 9458, 103001, 242, 118328, 9458, 20022, 99, 17486, 254, 99750, 9458, 115534, 110645, 99750, 198, 33014, 29295, 104699, 100472, 31431, 54926, 5486, 48634, 29295, 17701, 110104, 104309, 115991, 36896, 108064, 32977, 19732, 103826, 45829, 29295, 108010, 30297, 10646, 113314, 16144, 48154, 47884, 117355, 16995, 37689, 109375, 108502, 104698, 30512, 104736, 109315, 105908, 57903, 33541, 9174, 30358, 111571, 27479, 220, 71567, 95, 114424, 94923, 21601, 109519, 71289, 120766, 71005, 109519, 29295, 109215, 26854, 44971, 115882, 31195, 107969, 105644, 103429, 198, 71567, 94, 27479, 16144, 111571, 103397, 20230, 21601, 58942, 111476, 37689, 109375, 108502, 104698, 9458, 76622, 16995, 33121, 25827, 9458, 46034, 102780, 16144, 117401, 108502, 104698, 198, 105324, 102802, 126929, 71289, 110456, 106266, 111363, 95543, 106608, 119279, 32149, 102800, 5486, 33014, 20230, 102472, 29220, 102472, 29220, 19732, 104328, 50834, 126268, 107407, 7, 37087, 96356, 16144, 76622, 16995, 33121, 25827, 121782, 89151, 74245, 104699, 102149, 110615, 9458, 105564, 124324, 104309, 9174, 45736, 33014, 104840, 198, 33014, 20230, 109835, 104533, 107969, 16995, 102677, 99750, 109835, 38641, 9174, 57942, 251, 121432, 108901, 40053, 5486, 101921, 236, 121432, 108502, 104698, 5486, 104473, 107654, 118314, 107608, 108502, 104698, 198, 10110, 121846, 5232, 117501, 66870, 107969, 16325, 111571, 103911, 103181, 108134, 116229, 23954, 108729, 112535, 107969, 16325, 111571, 16144, 107750, 16995, 107407, 107803, 102052, 5486, 88367, 26854, 48249, 31431, 33014, 104840, 108867, 23187, 30512, 39926, 198, 10110, 1272, 13, 20, 112631, 71689, 109688, 117126, 65459, 122412, 20230, 126843, 48154, 89046, 117139, 16995, 90620, 50834, 106142, 105368, 117120, 22324, 117824, 16995, 106272, 103856, 62004, 20230, 89046, 106824, 50834, 38144, 72315, 9174, 88356, 27479, 33334, 108044, 58942, 78434, 29295, 111476, 107969, 16325, 111571, 29295, 113385, 16556, 91875, 53953, 122412, 30512, 126238, 105047, 20230, 101682, 120761, 54926, 123044, 16144, 121993, 96455, 15682, 103664, 1135, 113127, 20230, 16144, 109416, 31431, 33541, 9174, 33014, 104840, 29295, 198, 3174, 13, 21, 112631, 30512, 72404, 58942, 104533, 124059, 107188, 82973, 127303, 114598, 5486, 104398, 112506, 16144, 47307, 115695, 29220, 105284, 124001, 121606, 104721, 34171, 112212, 125173, 114218, 29295, 21990, 100204, 33541, 9174, 3391, 13, 20, 112631, 30512, 72404, 58942, 104533, 9039, 17620, 16556, 102625, 20230, 57237, 30369, 109755, 33121, 115991, 33541, 1811, 100845, 113, 72238, 29295, 104721, 34171, 15024, 5486, 104398, 112506, 115716, 16144, 21990, 22649, 121432, 29295, 105150, 100990, 119, 39926, 127258, 121143, 109904, 104721, 33208, 29295, 21990, 100204, 33541, 9174, 45736, 33014, 104840, 111848, 107969, 125173, 114218, 15682, 33014, 16144, 30591, 33503, 106644, 30369, 34048, 25129, 20230, 108502, 104698, 30512, 125119, 78434, 9174, 78388, 15024, 5486, 122412, 20230, 104405, 120837, 114225, 89046, 106824, 85701, 100604, 107803, 32977, 101182, 106046, 61689, 105879, 106608, 105047, 117120, 22324, 16144, 27452, 30512, 122765, 38144, 33334, 50834, 33541, 105879, 121846, 20230, 116216, 72315, 9174, 37689, 109375, 15682, 121381, 31431, 220, 83806, 254, 111571, 27452, 30512, 104346, 33035, 119432, 126521, 116245, 71289, 106142, 102064, 29295, 126120, 102334, 116245, 20230, 60634, 39926, 53610, 30512, 115320, 105823, 30369, 123038, 109375, 44971, 102832, 114615, 103167, 17297, 10110, 30358, 111571, 27479, 71567, 94, 71689, 16556, 109688, 117126, 26854, 121894, 29295, 107750, 123671, 33541, 7705, 220, 83806, 254, 33014, 21405, 106142, 105368, 25333, 5232, 111571, 27452, 30512, 53610, 45893, 53610, 16556, 102754, 94, 33503, 17663, 32149, 5486, 53610, 16556, 102754, 94, 33503, 56051, 47307, 90962, 33710, 16556, 37087, 96356, 30512, 68379, 64121, 15355, 229, 104346, 101513, 220, 104309, 16556, 104346, 30512, 30591, 38144, 38144, 106142, 105368, 198, 33014, 104840, 29295, 126574, 126513, 111090, 22398, 101335, 16073, 104309, 30512, 47307, 90962, 33710, 20230, 109749, 102189, 31431, 39926, 5486, 12870, 235, 114218, 30512, 125119, 30813, 100604, 104466, 17905, 61304, 16144, 41007, 19732, 114146, 38144, 109431, 27479, 20230, 61075, 71289, 101171, 229, 9458, 32943, 102478, 16144, 105494, 30512, 106142, 126172, 123017, 104712, 123253, 9174, 58426, 104983, 20230, 106142, 53610, 71289, 30320, 115, 5486, 111090, 22398, 80805, 48552, 50667, 30512, 11883, 102532, 105047, 95399, 20230, 106142, 105368, 112990, 5486, 33014, 21405, 16144, 106968, 101862, 95, 104473, 36651, 29295, 110226, 123332, 15024, 5486, 126287, 16144, 126574, 104473, 107654, 29295, 33014, 16144, 123274, 16144, 102208, 26274, 241, 32648, 102416, 122523, 108476, 39926, 5486, 108044, 106839, 71289, 103359, 89753, 113468, 107969, 29295, 33014, 21405, 55031, 54322, 107471, 84389, 20230, 47884, 47884, 109020, 107803, 107407, 105879, 48154, 61633, 72315, 9174, 106084, 30369, 103378, 33014, 104840, 108867, 23187, 15682, 22957, 17129, 62004, 120650, 16995, 5486, 33014, 104840, 29295, 2137, 112631, 60358, 47884, 103296, 17297, 29295, 104984, 106142, 105368, 15682, 15120, 121022, 71634, 103830, 39926, 104712, 123253, 109807, 74482, 32977, 33014, 104840, 108867, 23187, 71289, 121894, 30512, 21105, 96, 107277, 64121, 38144, 72315, 9174, 108618, 104611, 106272, 45736, 33014, 104840, 112212, 101682, 107674, 33014, 107809, 16144, 26274, 241, 32648, 108502, 104698, 16144, 113314, 15682, 5486, 82420, 31431, 53283, 110615, 105494, 115991, 33541, 105879, 5486, 122412, 113245, 111800, 112984, 71289, 43167, 105363, 26854, 71005, 109519, 29295, 109215, 121711, 33541, 9174, 107969, 16325, 111571, 16144, 113385, 103306, 15682, 198, 45736, 104840, 43240, 122539, 117501, 111363, 101544, 82973, 16144, 110665, 105651, 198, 88399, 239, 16995, 116245, 71289, 101918, 32943, 16556, 54322, 22324, 15682, 115924, 103359, 20230, 71289, 107436, 72315, 1811, 48915, 165, 36246, 117714, 102756, 16073, 108056, 15682, 9080, 127122, 109156, 106824, 104346, 33035, 119432, 126521, 116245, 30512, 105184, 33563, 39926, 72315, 1811, 102452, 32943, 165, 36246, 117714, 91875, 53953, 104067, 102052, 29220, 108994, 11972, 30512, 17701, 106824, 72315, 1811, 122412, 77181, 36785, 102334, 16995, 914, 112631, 116700, 116446, 61689, 29295, 5486, 914, 93, 1544, 112631, 120264, 29295, 104712, 107188, 106046, 61689, 1811, 117501, 71289, 29220, 108994, 11972, 113468, 15682, 106142, 58942, 120195, 115926, 37087, 61994, 106142, 58942, 104435, 31431, 15682, 101182, 106046, 61689, 105879, 109431, 112904, 104873, 107792, 39926, 72315, 9174, 107969, 54322, 107471, 27327, 16144, 103167, 17297, 31195, 106649, 103892, 104091, 5486, 117178, 112624, 110745, 25287, 123044, 5486, 64209, 116436, 111694, 5486, 105324, 107246, 32648, 116436, 111694, 198, 45736, 106036, 95, 71289, 75146, 17920, 236, 116436, 111694, 16144, 101182, 91875, 53953, 127282, 117501, 126287, 16144, 104721, 33208, 20230, 112294, 16995, 107803, 115991, 33541, 118855, 5486, 80805, 41758, 9458, 123646, 109482, 112193, 45923, 115432, 9458, 112193, 45923, 115432, 9458, 57207, 106240, 11972, 9458, 99695, 62903, 78683, 106240, 123160, 106649, 103892, 104091, 15682, 107969, 16325, 111571, 16144, 112997, 29220, 29295, 45736, 115737, 31431, 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 ]
[ 123052, 1313, 104023, 17, 220, 2946, 12, 17, 104023, 3226, 102677, 103899, 58942, 115717, 33541, 1811, 111017, 31431, 70203, 15682, 114715, 111108, 106624, 110901, 109709, 10646, 125334, 30369, 115789, 101182, 103846, 5486, 37087, 38144, 109163, 70203, 16556, 50338, 76622, 104533, 15682, 78244, 58942, 107515, 9174, 567, 113204, 245, 70203, 30512, 115541, 108710, 119607, 198, 109163, 70203, 29295, 106084, 30369, 101200, 108176, 102052, 5486, 115541, 108710, 29295, 109947, 124490, 102083, 114598, 33334, 32149, 106624, 124897, 125939, 103296, 109163, 70203, 29295, 106084, 104435, 17792, 71289, 5486, 107202, 46034, 103351, 17792, 32977, 47260, 103223, 30512, 103892, 109156, 106824, 33334, 102532, 5486, 9080, 40053, 104654, 107809, 16556, 115541, 108710, 109768, 47884, 105908, 19732, 111243, 27384, 30926, 38641, 1811, 115541, 108710, 54926, 82973, 29295, 43568, 16995, 102677, 24273, 71289, 5486, 62004, 124592, 47884, 65316, 119150, 24273, 32977, 104157, 30369, 123253, 9174, 119627, 5486, 9080, 40053, 104654, 16556, 48154, 114053, 120650, 100472, 31431, 5486, 107691, 16995, 53953, 120650, 100472, 104983, 71289, 64810, 64178, 120650, 100472, 31431, 112990, 5486, 111017, 31431, 53508, 246, 71289, 33420, 106382, 85188, 5486, 111017, 73686, 121374, 123160, 83687, 19732, 74245, 28190, 78434, 1811, 107943, 39177, 29295, 115541, 108710, 54926, 109933, 107446, 126529, 38641, 1811, 115541, 108710, 30512, 108882, 64121, 30358, 101832, 38144, 38574, 104680, 19732, 103350, 124299, 109768, 50834, 17129, 109954, 1811, 9080, 40053, 104654, 116749, 72661, 109163, 70203, 16144, 115541, 108710, 123410, 41007, 30512, 126362, 78434, 9174, 14711, 113204, 245, 70203, 16144, 115541, 108710, 41007, 198, 115541, 108710, 41007, 103306, 27384, 30926, 26854, 112973, 121410, 9080, 124490, 32149, 30813, 101860, 20230, 115541, 108710, 54926, 100909, 119627, 5486, 107943, 121410, 9080, 114016, 43568, 22649, 102677, 24273, 32977, 104157, 30369, 123253, 1811, 119627, 5486, 109163, 70203, 15682, 9080, 40053, 104654, 20230, 102321, 104028, 83687, 30512, 107740, 39926, 115541, 108710, 123410, 115789, 125545, 9174, 126843, 15682, 5486, 108729, 16144, 47260, 103223, 30512, 115364, 103892, 109156, 33121, 100481, 47884, 100909, 55031, 27704, 62004, 17129, 109954, 1811, 31809, 106718, 11883, 16144, 122282, 45923, 37823, 33710, 30512, 38129, 56051, 31431, 39926, 5486, 75146, 17920, 236, 71289, 112825, 110904, 26854, 109606, 55031, 105994, 20230, 105693, 50338, 50834, 24273, 104088, 126268, 17129, 109954, 1811, 38574, 104680, 19732, 17905, 104067, 39926, 105898, 33503, 5486, 114715, 44971, 115882, 122060, 15024, 16, 102663, 47307, 115079, 71289, 39926, 64121, 115926, 5486, 102718, 68759, 22398, 122282, 71289, 5486, 109163, 70203, 20230, 66378, 33208, 56051, 100927, 103234, 30512, 38129, 56051, 31431, 78434, 9174, 115541, 108710, 30512, 99849, 27479, 32977, 23039, 30297, 118733, 122282, 16144, 103899, 58942, 16144, 80805, 102514, 16073, 30512, 112854, 105262, 105908, 103082, 5486, 109163, 70203, 120938, 104067, 107294, 105722, 31431, 33541, 115397, 87217, 115541, 108710, 15024, 126172, 16995, 112973, 9080, 40053, 104654, 113245, 107691, 16995, 53953, 71289, 5486, 98915, 17792, 110792, 102456, 30926, 5486, 64810, 64178, 104309, 29295, 109163, 70203, 16144, 115541, 108710, 107294, 105722, 31431, 33541, 1811, 105994, 16556, 37689, 109375, 39926, 96356, 16144, 18904, 111331, 83687, 104088, 59739, 107674, 33503, 122282, 54926, 100909, 38641, 1811, 128001, 128000, 90115, 103198, 96, 103242, 104599, 16144, 103478, 103682, 38641, 9174, 110382, 89046, 117073, 121854, 88399, 239, 16556, 112073, 103826, 33014, 104873, 15682, 27384, 121313, 123253, 32149, 11571, 508, 8107, 25580, 120264, 15682, 966, 112631, 72404, 107800, 33503, 121854, 88399, 239, 9080, 115226, 26854, 112391, 103351, 119150, 16144, 119627, 115515, 15682, 1272, 112631, 101983, 103950, 103306, 61689, 9174, 118899, 5486, 102452, 32943, 16556, 107969, 16325, 111571, 110276, 102677, 24273, 112197, 87177, 30512, 104655, 16995, 79721, 29295, 108149, 33121, 104043, 91763, 100472, 33503, 103892, 108631, 71289, 62004, 17129, 16995, 36785, 30369, 30813, 16556, 91875, 76622, 103470, 109020, 117840, 1811, 102452, 32943, 109860, 102083, 76947, 76622, 42891, 39926, 51385, 64209, 103082, 107515, 105879, 5486, 76739, 39880, 109713, 71289, 22957, 17129, 62004, 26854, 53610, 17620, 111983, 110698, 19732, 109431, 27479, 26854, 59657, 102, 17620, 111983, 110698, 126130, 125683, 62004, 78434, 9174, 165, 36246, 16995, 36668, 16144, 112073, 103826, 32977, 107969, 16325, 111571, 102052, 114392, 48154, 61633, 72315, 9174, 110589, 16144, 107969, 16325, 111571, 108134, 15682, 47260, 78459, 32131, 98115, 254, 198, 14711, 116804, 109, 16325, 111571, 20230, 61633, 6447, 1389, 116804, 109, 16325, 111571, 108134, 1389, 105180, 95221, 47523, 108975, 38093, 5899, 6780, 33328, 198, 110382, 103296, 88399, 239, 115737, 104533, 114516, 42016, 103826, 5486, 91875, 53953, 105459, 32977, 107969, 16325, 111571, 16144, 112997, 29220, 29295, 45736, 115737, 31431, 33541, 105879, 115515, 18904, 15682, 107969, 16325, 111571, 109853, 33334, 87177, 78434, 9174, 107969, 16325, 111571, 15682, 122603, 104840, 43240, 122539, 117501, 17297, 122692, 45736, 33014, 104840, 124001, 110645, 53610, 113468, 21990, 100204, 30369, 37087, 96356, 34171, 16144, 116436, 111694, 38641, 9174, 53900, 111476, 107969, 16325, 111571, 29295, 113385, 16556, 91875, 53953, 122412, 30512, 126238, 105047, 20230, 101682, 120761, 54926, 123044, 16144, 121993, 96455, 15682, 103664, 1135, 113127, 16556, 5486, 121993, 27452, 16144, 43240, 47884, 15682, 101682, 120761, 74482, 1187, 82973, 23897, 32943, 20230, 121993, 54926, 102083, 78183, 106824, 61689, 1811, 116804, 109, 16325, 111571, 29295, 30358, 27479, 16144, 126513, 109431, 102769, 26854, 71005, 109519, 117824, 114598, 105260, 102625, 96455, 15682, 45736, 115737, 31431, 33541, 9174, 111571, 103397, 103306, 15682, 111476, 90397, 246, 115716, 16144, 30297, 42891, 104473, 127253, 105843, 104473, 5486, 118430, 101171, 230, 5486, 124535, 103906, 94550, 5486, 115534, 110645, 5486, 117401, 21388, 104873, 5486, 103001, 242, 118328, 5486, 17297, 101576, 95, 5486, 89753, 96311, 236, 5486, 107084, 102669, 5486, 37689, 109375, 33420, 21388, 5486, 102404, 19967, 104309, 115991, 33541, 1811, 220, 159, 232, 253, 66378, 20230, 37689, 109375, 44971, 102832, 114615, 103167, 17297, 107407, 126513, 107188, 31431, 109688, 117126, 26854, 121894, 38641, 9174, 114516, 16144, 30358, 111571, 27479, 17620, 104770, 30512, 121846, 20230, 112990, 111476, 30358, 111571, 27479, 220, 71567, 254, 117826, 75267, 16556, 117271, 88367, 26854, 44971, 115882, 18049, 223, 17129, 16995, 9458, 21388, 101365, 198, 13177, 118013, 126910, 64121, 66383, 95604, 121894, 16556, 5486, 101171, 111, 111363, 104473, 89753, 29295, 112661, 56965, 112535, 16937, 105843, 17620, 110276, 106592, 20379, 15024, 93056, 107969, 21388, 101365, 863, 19732, 105324, 104369, 115789, 57903, 33541, 9174, 119049, 107079, 108631, 9458, 119049, 107079, 16144, 110567, 74245, 198, 119049, 107079, 16144, 13177, 22957, 104004, 33503, 104196, 31431, 117503, 118733, 106116, 105494, 16144, 108631, 64121, 30512, 112183, 61689, 1811, 102404, 123529, 20230, 112183, 30297, 59657, 102, 17620, 10110, 96452, 122148, 65299, 91062, 104309, 120732, 124490, 18259, 237, 112212, 21990, 100204, 33541, 9174, 46034, 102780, 16144, 21105, 111, 33121, 9458, 95221, 17620, 16144, 16937, 102395, 198, 30358, 111571, 27479, 220, 71567, 94, 124908, 109519, 101513, 97518, 16144, 101682, 120761, 29295, 109215, 26854, 44971, 115882, 110453, 255, 108631, 9458, 118328, 50834, 95221, 9458, 103001, 242, 118328, 9458, 20022, 99, 17486, 254, 99750, 9458, 115534, 110645, 99750, 198, 33014, 29295, 104699, 100472, 31431, 54926, 5486, 48634, 29295, 17701, 110104, 104309, 115991, 36896, 108064, 32977, 19732, 103826, 45829, 29295, 108010, 30297, 10646, 113314, 16144, 48154, 47884, 117355, 16995, 37689, 109375, 108502, 104698, 30512, 104736, 109315, 105908, 57903, 33541, 9174, 30358, 111571, 27479, 220, 71567, 95, 114424, 94923, 21601, 109519, 71289, 120766, 71005, 109519, 29295, 109215, 26854, 44971, 115882, 31195, 107969, 105644, 103429, 198, 71567, 94, 27479, 16144, 111571, 103397, 20230, 21601, 58942, 111476, 37689, 109375, 108502, 104698, 9458, 76622, 16995, 33121, 25827, 9458, 46034, 102780, 16144, 117401, 108502, 104698, 198, 105324, 102802, 126929, 71289, 110456, 106266, 111363, 95543, 106608, 119279, 32149, 102800, 5486, 33014, 20230, 102472, 29220, 102472, 29220, 19732, 104328, 50834, 126268, 107407, 7, 37087, 96356, 16144, 76622, 16995, 33121, 25827, 121782, 89151, 74245, 104699, 102149, 110615, 9458, 105564, 124324, 104309, 9174, 45736, 33014, 104840, 198, 33014, 20230, 109835, 104533, 107969, 16995, 102677, 99750, 109835, 38641, 9174, 57942, 251, 121432, 108901, 40053, 5486, 101921, 236, 121432, 108502, 104698, 5486, 104473, 107654, 118314, 107608, 108502, 104698, 198, 10110, 121846, 5232, 117501, 66870, 107969, 16325, 111571, 103911, 103181, 108134, 116229, 23954, 108729, 112535, 107969, 16325, 111571, 16144, 107750, 16995, 107407, 107803, 102052, 5486, 88367, 26854, 48249, 31431, 33014, 104840, 108867, 23187, 30512, 39926, 198, 10110, 1272, 13, 20, 112631, 71689, 109688, 117126, 65459, 122412, 20230, 126843, 48154, 89046, 117139, 16995, 90620, 50834, 106142, 105368, 117120, 22324, 117824, 16995, 106272, 103856, 62004, 20230, 89046, 106824, 50834, 38144, 72315, 9174, 88356, 27479, 33334, 108044, 58942, 78434, 29295, 111476, 107969, 16325, 111571, 29295, 113385, 16556, 91875, 53953, 122412, 30512, 126238, 105047, 20230, 101682, 120761, 54926, 123044, 16144, 121993, 96455, 15682, 103664, 1135, 113127, 20230, 16144, 109416, 31431, 33541, 9174, 33014, 104840, 29295, 198, 3174, 13, 21, 112631, 30512, 72404, 58942, 104533, 124059, 107188, 82973, 127303, 114598, 5486, 104398, 112506, 16144, 47307, 115695, 29220, 105284, 124001, 121606, 104721, 34171, 112212, 125173, 114218, 29295, 21990, 100204, 33541, 9174, 3391, 13, 20, 112631, 30512, 72404, 58942, 104533, 9039, 17620, 16556, 102625, 20230, 57237, 30369, 109755, 33121, 115991, 33541, 1811, 100845, 113, 72238, 29295, 104721, 34171, 15024, 5486, 104398, 112506, 115716, 16144, 21990, 22649, 121432, 29295, 105150, 100990, 119, 39926, 127258, 121143, 109904, 104721, 33208, 29295, 21990, 100204, 33541, 9174, 45736, 33014, 104840, 111848, 107969, 125173, 114218, 15682, 33014, 16144, 30591, 33503, 106644, 30369, 34048, 25129, 20230, 108502, 104698, 30512, 125119, 78434, 9174, 78388, 15024, 5486, 122412, 20230, 104405, 120837, 114225, 89046, 106824, 85701, 100604, 107803, 32977, 101182, 106046, 61689, 105879, 106608, 105047, 117120, 22324, 16144, 27452, 30512, 122765, 38144, 33334, 50834, 33541, 105879, 121846, 20230, 116216, 72315, 9174, 37689, 109375, 15682, 121381, 31431, 220, 83806, 254, 111571, 27452, 30512, 104346, 33035, 119432, 126521, 116245, 71289, 106142, 102064, 29295, 126120, 102334, 116245, 20230, 60634, 39926, 53610, 30512, 115320, 105823, 30369, 123038, 109375, 44971, 102832, 114615, 103167, 17297, 10110, 30358, 111571, 27479, 71567, 94, 71689, 16556, 109688, 117126, 26854, 121894, 29295, 107750, 123671, 33541, 7705, 220, 83806, 254, 33014, 21405, 106142, 105368, 25333, 5232, 111571, 27452, 30512, 53610, 45893, 53610, 16556, 102754, 94, 33503, 17663, 32149, 5486, 53610, 16556, 102754, 94, 33503, 56051, 47307, 90962, 33710, 16556, 37087, 96356, 30512, 68379, 64121, 15355, 229, 104346, 101513, 220, 104309, 16556, 104346, 30512, 30591, 38144, 38144, 106142, 105368, 198, 33014, 104840, 29295, 126574, 126513, 111090, 22398, 101335, 16073, 104309, 30512, 47307, 90962, 33710, 20230, 109749, 102189, 31431, 39926, 5486, 12870, 235, 114218, 30512, 125119, 30813, 100604, 104466, 17905, 61304, 16144, 41007, 19732, 114146, 38144, 109431, 27479, 20230, 61075, 71289, 101171, 229, 9458, 32943, 102478, 16144, 105494, 30512, 106142, 126172, 123017, 104712, 123253, 9174, 58426, 104983, 20230, 106142, 53610, 71289, 30320, 115, 5486, 111090, 22398, 80805, 48552, 50667, 30512, 11883, 102532, 105047, 95399, 20230, 106142, 105368, 112990, 5486, 33014, 21405, 16144, 106968, 101862, 95, 104473, 36651, 29295, 110226, 123332, 15024, 5486, 126287, 16144, 126574, 104473, 107654, 29295, 33014, 16144, 123274, 16144, 102208, 26274, 241, 32648, 102416, 122523, 108476, 39926, 5486, 108044, 106839, 71289, 103359, 89753, 113468, 107969, 29295, 33014, 21405, 55031, 54322, 107471, 84389, 20230, 47884, 47884, 109020, 107803, 107407, 105879, 48154, 61633, 72315, 9174, 106084, 30369, 103378, 33014, 104840, 108867, 23187, 15682, 22957, 17129, 62004, 120650, 16995, 5486, 33014, 104840, 29295, 2137, 112631, 60358, 47884, 103296, 17297, 29295, 104984, 106142, 105368, 15682, 15120, 121022, 71634, 103830, 39926, 104712, 123253, 109807, 74482, 32977, 33014, 104840, 108867, 23187, 71289, 121894, 30512, 21105, 96, 107277, 64121, 38144, 72315, 9174, 108618, 104611, 106272, 45736, 33014, 104840, 112212, 101682, 107674, 33014, 107809, 16144, 26274, 241, 32648, 108502, 104698, 16144, 113314, 15682, 5486, 82420, 31431, 53283, 110615, 105494, 115991, 33541, 105879, 5486, 122412, 113245, 111800, 112984, 71289, 43167, 105363, 26854, 71005, 109519, 29295, 109215, 121711, 33541, 9174, 107969, 16325, 111571, 16144, 113385, 103306, 15682, 198, 45736, 104840, 43240, 122539, 117501, 111363, 101544, 82973, 16144, 110665, 105651, 198, 88399, 239, 16995, 116245, 71289, 101918, 32943, 16556, 54322, 22324, 15682, 115924, 103359, 20230, 71289, 107436, 72315, 1811, 48915, 165, 36246, 117714, 102756, 16073, 108056, 15682, 9080, 127122, 109156, 106824, 104346, 33035, 119432, 126521, 116245, 30512, 105184, 33563, 39926, 72315, 1811, 102452, 32943, 165, 36246, 117714, 91875, 53953, 104067, 102052, 29220, 108994, 11972, 30512, 17701, 106824, 72315, 1811, 122412, 77181, 36785, 102334, 16995, 914, 112631, 116700, 116446, 61689, 29295, 5486, 914, 93, 1544, 112631, 120264, 29295, 104712, 107188, 106046, 61689, 1811, 117501, 71289, 29220, 108994, 11972, 113468, 15682, 106142, 58942, 120195, 115926, 37087, 61994, 106142, 58942, 104435, 31431, 15682, 101182, 106046, 61689, 105879, 109431, 112904, 104873, 107792, 39926, 72315, 9174, 107969, 54322, 107471, 27327, 16144, 103167, 17297, 31195, 106649, 103892, 104091, 5486, 117178, 112624, 110745, 25287, 123044, 5486, 64209, 116436, 111694, 5486, 105324, 107246, 32648, 116436, 111694, 198, 45736, 106036, 95, 71289, 75146, 17920, 236, 116436, 111694, 16144, 101182, 91875, 53953, 127282, 117501, 126287, 16144, 104721, 33208, 20230, 112294, 16995, 107803, 115991, 33541, 118855, 5486, 80805, 41758, 9458, 123646, 109482, 112193, 45923, 115432, 9458, 112193, 45923, 115432, 9458, 57207, 106240, 11972, 9458, 99695, 62903, 78683, 106240, 123160, 106649, 103892, 104091, 15682, 107969, 16325, 111571, 16144, 112997, 29220, 29295, 45736, 115737, 31431, 33541 ]
[ 1811, 34226, 20230, 117178, 112624, 107407, 19732, 89783, 82420, 20230, 107969, 54322, 107471, 27327, 29295, 103167, 17297, 78434, 9174, 103188, 27479, 16144, 117401, 198, 58426, 45829, 125030, 76947, 16144, 103188, 27479, 16144, 117401, 115717, 33541, 105879, 110371, 120264, 15682, 27384, 121313, 108995, 126194, 121894, 30512, 64121, 106272, 43568, 22649, 30512, 21105, 103, 16995, 106592, 33334, 125683, 62004, 78434, 9174, 104309, 29295, 122765, 102204, 33541, 9174, 61633, 28542, 103306, 111476, 12, 47850, 229, 104346, 101513, 198, 114516, 15682, 33014, 126867, 76739, 107167, 16073, 101921, 118, 29295, 30591, 76947, 123529, 125334, 33541, 29295, 5486, 123044, 16144, 107803, 107079, 79059, 67016, 123529, 119707, 126660, 16144, 19732, 5486, 33014, 21405, 29295, 105811, 16556, 33334, 33334, 78183, 115032, 103846, 111476, 88399, 239, 47884, 38144, 124535, 103906, 94550, 30512, 103792, 102756, 16073, 108056, 20230, 90620, 15355, 229, 104346, 101513, 30512, 122382, 90620, 76622, 77181, 5486, 115552, 115991, 107515, 9174, 33014, 30512, 102754, 94, 33503, 56051, 31431, 102754, 94, 33121, 47307, 90962, 33710, 16556, 117633, 100472, 121894, 113245, 38129, 127303, 104984, 5486, 53610, 29295, 103858, 116, 102404, 54926, 104983, 16144, 95221, 33208, 107969, 112212, 107969, 30512, 110074, 29295, 17663, 105908, 88367, 115717, 33541, 9174, 12, 44714, 96, 105564, 198, 107471, 105564, 20230, 48249, 121140, 117401, 54926, 104983, 32977, 102131, 119627, 5486, 108729, 112535, 123044, 15682, 114516, 105755, 33014, 45736, 29295, 103167, 16995, 38641, 55031, 5486, 30590, 28190, 55031, 54322, 105644, 107001, 107969, 16144, 117375, 114475, 76622, 126172, 16995, 38641, 9174, 105994, 29295, 112391, 100934, 71689, 20230, 123044, 15682, 88399, 239, 16995, 102189, 19732, 78698, 107290, 72315, 9174, 80539, 39880, 22398, 104774, 108958, 15682, 45736, 104840, 115717, 33541, 105879, 5486, 107079, 79059, 29295, 80699, 114218, 39926, 114732, 107803, 32977, 57903, 33541, 9174, 89408, 15682, 111717, 112535, 50211, 8107, 105755, 88399, 239, 16995, 105140, 101983, 103836, 101200, 16556, 5486, 102616, 112535, 91774, 111243, 49409, 103268, 79059, 16144, 108285, 16995, 119208, 20230, 121854, 88399, 239, 29295, 120824, 115032, 117840, 1811, 127164, 16144, 71493, 37823, 108526, 33710, 114676, 55139, 68408, 22398, 66953, 110494, 77181, 22, 9953, 20230, 4103, 112631, 29295, 114181, 108867, 103646, 102131, 38641, 9174, 85701, 55031, 29295, 105140, 22656, 87217, 102677, 110115, 27384, 104721, 26854, 100909, 117084, 61689, 9174, 91875, 53953, 126027, 113614, 121894, 15682, 165, 36246, 16995, 36668, 103826, 20230, 103057, 101832, 125398, 105494, 115991, 33541, 1811, 89408, 16144, 105140, 15682, 27452, 8107, 71689, 20230, 61633, 39926, 107969, 16325, 111571, 103359, 105226, 30512, 116216, 72315, 9174, 77693, 77181, 112073, 103826, 20230, 106084, 30369, 103378, 96311, 120, 102800, 105140, 29295, 37507, 33541, 104466, 68230, 68230, 128001, 128000, 44620, 102625, 20230, 106956, 36761, 106046, 103836, 17792, 20230, 78244, 102334, 16995, 106592, 102181, 102334, 1811, 98499, 25827, 72661, 33503, 58942, 104984, 119150, 9174, 107707, 64209, 15682, 112294, 76947, 47884, 104533, 198, 44620, 102625, 20230, 106956, 36761, 44620, 102625, 102189, 24273, 29295, 68759, 57207, 36761, 198, 104309, 5486, 102321, 103350, 16144, 107202, 21105, 123, 55031, 50338, 54322, 103646, 16995, 120208, 29295, 104195, 115737, 76947, 109749, 9174, 37026, 108055, 126693, 105465, 108176, 16144, 111769, 32149, 11571, 107943, 120208, 29295, 121423, 109415, 30369, 9174, 114516, 15682, 108064, 32149, 15682, 102625, 112179, 109900, 15682, 111098, 76622, 102204, 100604, 9174, 109846, 5486, 105994, 55031, 51609, 30512, 115924, 59739, 109215, 15682, 101182, 120900, 32149, 95532, 105268, 16995, 101083, 31640, 16144, 605, 31640, 5486, 508, 31640, 16556, 33014, 15682, 113614, 26854, 39177, 23538, 20230, 121993, 39926, 114732, 31634, 63212, 16144, 30537, 16, 25129, 15682, 37026, 108055, 1811, 59739, 109709, 5486, 64209, 16144, 103429, 55031, 109749, 102944, 9174, 116292, 102800, 102321, 103350, 36785, 119150, 9174, 14711, 73028, 119, 20230, 106956, 119150, 64209, 198, 122571, 198, 44620, 102625, 20230, 106956, 36761, 119150, 64209, 107407, 32943, 127303, 104984, 108057, 58942, 104533, 91763, 103836, 9174, 126920, 37026, 108055, 39926, 114604, 116537, 44620, 102625, 20230, 106956, 36761, 19732, 112832, 111201, 58655, 102639, 38144, 102625, 112179, 108995, 32149, 95532, 44620, 85701, 55031, 102625, 20230, 33541, 36761, 112832, 111201, 58655, 102639, 100934, 116537, 5486, 64209, 16144, 99849, 117120, 32149, 16556, 198, 108057, 16995, 30512, 32018, 62004, 100934, 9174, 117475, 15682, 112185, 64209, 16144, 109440, 16995, 19732, 109755, 119467, 107407, 9174, 44620, 102625, 104127, 104405, 109020, 104865, 36761, 44620, 102625, 102189, 24273, 29295, 107202, 102800, 16144, 111769, 32149, 36761, 198, 51330, 44620, 102625, 20230, 106956, 36761, 119150, 64209, 29295, 104970, 58655, 126529, 38641, 9174, 110241, 115515, 30591, 112568, 29295, 44620, 102625, 20230, 106956, 36761, 106046, 113017, 105110, 15120, 87217, 22023, 117943, 106084, 30369, 17792, 20230, 108044, 105262, 100909, 9174, 112832, 32977, 16995, 100604, 105879, 30591, 104984, 5486, 122412, 20230, 125894, 76622, 104526, 25827, 72661, 104712, 108995, 9174, 77693, 17663, 33503, 32977, 106084, 100604, 105879, 30591, 104984, 5486, 39850, 64178, 72661, 8429, 72661, 112832, 32149, 96356, 60358, 26854, 17792, 20230, 50021, 111813, 39926, 102717, 102800, 9174, 110382, 103296, 117084, 114604, 107803, 5486, 30358, 27479, 19732, 78244, 105262, 1811, 105994, 121142, 113727, 104526, 104004, 104468, 99959, 39850, 38641, 9174, 14711, 113170, 112568, 15682, 109161, 47884, 100604, 198, 44620, 102625, 20230, 106956, 36761, 106046, 100472, 114667, 15682, 99849, 123253, 32149, 95532, 114667, 15682, 103826, 104680, 32149, 121061, 1811, 119627, 108048, 15682, 27384, 116875, 198, 30591, 112568, 29295, 109161, 16995, 55031, 111769, 9174, 25197, 76428, 39850, 71289, 102040, 112718, 73590, 114475, 76622, 124620, 105994, 29295, 108056, 103306, 100604, 55031, 109161, 16995, 36761, 19732, 198, 105994, 16556, 105994, 30512, 113160, 107436, 114732, 17792, 32977, 107991, 9174, 85701, 33503, 15682, 25197, 76428, 39850, 30369, 110366, 29295, 109161, 16995, 30926, 29295, 27384, 103268, 108995, 9174, 44620, 30591, 112568, 15682, 109161, 47884, 100604, 36761, 198, 105994, 30512, 113160, 109315, 104468, 71289, 62004, 101200, 9174, 14711, 220, 105677, 25827, 72661, 104712, 198, 102625, 15682, 37087, 38144, 30512, 21388, 61689, 9174, 102625, 112179, 120264, 105110, 99849, 72661, 103082, 104533, 15682, 115408, 15682, 120267, 107515, 9174, 102625, 111363, 109440, 16995, 107407, 103826, 26854, 121894, 16556, 99849, 72661, 108608, 116497, 119703, 55031, 9174, 107943, 39177, 15682, 109440, 124059, 198, 105677, 62004, 81219, 104712, 16144, 38641, 9174, 106084, 30369, 105879, 30591, 104984, 5486, 64209, 30512, 43568, 20230, 112990, 126521, 119150, 9174, 58426, 117591, 33334, 113351, 32977, 35894, 108112, 103950, 122262, 113351, 29295, 35894, 76622, 81219, 123726, 100934, 103350, 99750, 32977, 16556, 30369, 9174, 33014, 15682, 102625, 20230, 28713, 29295, 107462, 100604, 9174, 102131, 91763, 76947, 102717, 102800, 9174, 14711, 73028, 119, 25827, 72661, 112832, 32977, 50928, 21105, 103, 16995, 198, 30591, 112568, 29295, 104157, 123733, 114598, 112832, 32977, 50928, 123410, 114754, 16995, 107515, 1811, 104004, 15024, 85791, 198, 116292, 15024, 104004, 17792, 30512, 115079, 126172, 103378, 36785, 106046, 76947, 102717, 102800, 9174, 102625, 112179, 118733, 1, 25197, 76428, 39850, 28713, 50021, 112909, 127500, 64121, 32149, 58942, 17663, 1, 115226, 26854, 30926, 30512, 113727, 100934, 16144, 105110, 56965, 121953, 9174, 102625, 102189, 33503, 120007, 29295, 34226, 37656, 54926, 104865, 11571, 34226, 37656, 56051, 104865, 104405, 32149, 17663, 33503, 102625, 104127, 103801, 76947, 15682, 78183, 55031, 112179, 110674, 9174, 116292, 21105, 123, 103378, 29295, 21990, 123606, 198, 112832, 32977, 50928, 21105, 103, 16995, 9174, 14711, 73028, 119, 102189, 76947, 104712, 198, 103283, 20230, 44620, 112832, 116421, 101399, 20230, 123726, 85791, 36761, 44620, 112832, 32149, 29295, 116292, 15024, 104004, 55031, 123726, 85791, 36761, 114016, 112844, 59739, 123731, 120937, 9174, 115364, 101399, 103378, 20230, 123726, 104984, 104712, 55031, 9174, 109860, 198, 44620, 102625, 102189, 76947, 104712, 36761, 106046, 76947, 123726, 104984, 104712, 9174, 102131, 113727, 104533, 105465, 108176, 9174, 123726, 30369, 115552, 104309, 198, 123726, 126386, 19732, 78183, 124403, 9174, 14711, 76771, 223, 32977, 102625, 20230, 106956, 106046, 100472, 107707, 20713, 17792, 198, 108895, 39926, 102181, 119188, 105879, 122571, 123726, 127280, 9174, 86127, 32977, 44620, 102625, 20230, 106956, 36761, 106046, 106358, 39177, 23538, 107407, 9174, 20119, 243, 24186, 20230, 96452, 25197, 52591, 30512, 22324, 102532, 121120, 101732, 9174, 96452, 25197, 52591, 107407, 19732, 99849, 104604, 32149, 51385, 64209, 103082, 28713, 9174, 37271, 91763, 30297, 19732, 108038, 20230, 64209, 29295, 127258, 106824, 28713, 26854, 5486, 119150, 9174, 16, 8107, 122502, 102532, 106116, 33334, 35330, 16556, 53901, 112495, 103378, 109739, 104127, 102625, 104127, 71289, 104533, 91763, 76947, 5486, 108031, 20, 8107, 29295, 103188, 105557, 28713, 9174, 80539, 115515, 15682, 112185, 21990, 105898, 16995, 106046, 103836, 9174, 30591, 112568, 105352, 16, 17620, 72661, 16, 47018, 72661, 43240, 47884, 123726, 38144, 102717, 102800, 1811, 102131, 126693, 198, 45893, 15682, 104328, 33503, 105784, 115789, 101182, 9174, 14711, 83639, 123090, 198, 114567, 104309, 77181, 16, 18904, 102625, 16144, 30297, 29295, 17, 18904, 102625, 16144, 30297, 29295, 109713, 103906, 78683, 109496, 108608, 9174, 108618, 104611, 106272, 114516, 102052, 107943, 121432, 15682, 104874, 78183, 107462, 100604, 9174, 112672, 109846, 111476, 51609, 15682, 15120, 59739, 67016, 100604, 9174, 33671, 20230, 71289, 31431, 74245, 17663, 109335, 16937, 88367, 9174, 68759, 37823, 90962, 119775, 102625, 30512, 117355, 47884, 121247, 76947, 103801, 16995, 29295, 43514, 119627, 5486, 117475, 15682, 125821, 27384, 102769, 20230, 121247, 30297, 125231, 102944, 36785, 119150, 9174, 37026, 108055, 27384, 29504, 102433, 9174, 102625, 112179, 104468, 114567, 107809, 121142, 114392, 9174, 30591, 112568, 15682, 123726, 38144, 72315, 9174, 117896, 16144, 77219, 15682, 102625, 20230, 106956, 120264, 16144, 114754, 98499, 104004, 109215, 120937, 1811, 128001, 128000, 13177, 30297, 59739, 103429, 66383, 95604, 112690, 37026, 33014, 30512, 53283, 76947, 102532, 32977, 13177, 77693, 76947, 102971, 91077, 67645, 103171, 103429, 95221, 11571, 59712, 67645, 103171, 111571, 103397, 91006, 119150, 24273, 15682, 127181, 106046, 61689, 9174, 115303, 120266, 13177, 30297, 59739, 66383, 78244, 114598, 111571, 103397, 15682, 17792, 77693, 108422, 33121, 9174, 37087, 47884, 112361, 5486, 114016, 17792, 112987, 107515, 9174, 53900, 5486, 112361, 127749, 20230, 14309, 98, 114598, 13177, 30297, 59739, 10646, 101983, 110104, 17792, 32977, 16995, 104984, 36896, 30297, 59739, 10646, 117084, 114732, 17792, 32977, 61689, 1811, 72661, 104662, 39926, 13177, 30297, 59739, 10646, 117084, 114732, 114754, 5486, 112294, 16995, 55031, 77181, 124897, 9174, 37271, 18904, 15682, 86127, 116907, 16144, 13177, 30297, 59739, 10646, 110276, 110018, 16144, 33014, 111186, 126130, 87177, 78434, 9174, 40265, 39177, 115408, 15682, 113116, 70626, 122412, 16556, 50021, 111813, 102351, 103306, 122502, 16995, 100481, 79721, 9174, 112361, 34048, 113112, 16556, 122502, 47884, 52030, 106528, 104599, 98369, 10110, 32, 98369, 7705, 107118, 108048, 26854, 112586, 30297, 17129, 47884, 114308, 40862, 103836, 59739, 123731, 16556, 56051, 9174, 32, 117940, 19732, 111243, 27384, 33503, 107188, 34171, 35083, 9174, 13177, 83747, 104680, 16144, 109335, 95221, 20230, 21105, 103, 16995, 10646, 24273, 16556, 115408, 116907, 77693, 20230, 108057, 126832, 115789, 43240, 104680, 57903, 79721, 9174, 119627, 5486, 36785, 102189, 127842, 95221, 108176, 105908, 20834, 38144, 50834, 33541, 9174, 32, 117940, 105994, 55031, 50021, 111813, 20230, 125338, 109749, 107740, 30046, 98369, 102052, 32977, 43514, 85791, 25827, 5486, 104257, 121370, 20230, 87177, 30512, 104655, 16995, 100481, 79721, 9174, 119627, 108048, 29295, 118765, 9458, 111108, 102800, 107740, 30046, 98369, 111363, 117271, 15682, 1981, 95532, 102181, 104770, 126694, 30369, 105908, 107202, 46034, 16556, 36117, 250, 62004, 104526, 126559, 110115, 5486, 115364, 71289, 31431, 106956, 100909, 103378, 15682, 114225, 20230, 19967, 13153, 9174, 61304, 108565, 16144, 19967, 13153, 32977, 74482, 18904, 15024, 20230, 1981, 9174, 32, 98369, 116907, 29295, 109215, 100604, 106046, 100472, 109335, 5486, 17905, 65743, 20230, 117952, 103468, 100909, 72661, 121019, 112909, 59739, 124324, 115789, 57903, 79721, 9174, 32, 117940, 86127, 105755, 8107, 17905, 26854, 105879, 124563, 107188, 32149, 117876, 16144, 106592, 33334, 124730, 103082, 101860, 5486, 17905, 65743, 20230, 50021, 111813, 110241, 79721, 9174, 17905, 65743, 126328, 13177, 32, 98369, 20230, 30297, 17129, 47884, 117876, 16144, 64467, 20379, 123410, 123017, 117876, 16144, 117591, 36785, 66383, 117952, 33121, 5486, 80988, 239, 105714, 76947, 64121, 79721, 29295, 1981, 9174, 102971, 91077, 115408, 15682, 13177, 32, 121944, 91875, 126660, 17620, 115408, 29295, 91875, 107188, 50834, 101668, 76864, 106046, 76947, 114604, 16144, 38641, 9174, 117032, 121101, 20230, 21601, 107290, 123213, 37507, 32, 121944, 17663, 125231, 117876, 19732, 105994, 29295, 56051, 16995, 106046, 103836, 121101, 30512, 22957, 26854, 17663, 9080, 104680, 1981, 107943, 20230, 101544, 47884, 15682, 106307, 50834, 107515, 9174, 120111, 103351, 116497, 16144, 117876, 120650, 47884, 112973, 117913, 8239, 104, 115717, 36896, 23039, 105898, 47884, 100604, 66383, 91763, 30297, 101200, 115717, 79721, 9174, 127814, 115032, 110115, 120379, 33121, 123733, 31431, 5486, 102456, 111654, 32977, 114485, 31431, 79721, 9174, 30297, 17129, 47884, 49838, 30297, 105908, 118765, 9174, 116292, 106624, 126758, 110115, 96311, 247, 29295, 30591, 105104, 106824, 109749, 9174, 24186, 104680, 5486, 95221, 48634, 19732, 33014, 48634, 107407, 114516, 77181, 104435, 86127, 9174, 114225, 20230, 102472, 22398, 124490, 121711, 79721, 9174, 46729, 55031, 20834, 30369, 100909, 17663, 33503, 119467, 115737, 31431, 5486, 106084, 123733, 31431, 79721, 9174, 33035, 94923, 61826, 16556, 13177, 126843, 5486, 107430, 75267, 55031, 106627, 33121, 17129, 109954, 66383, 117952, 33121, 5486, 105677, 107430, 30512, 89783, 118273, 103470, 84389, 79721, 9174, 122571, 13177, 102782, 15024, 117735, 100604, 59712, 117876, 29295, 121771, 98369, 101182, 110115, 59712, 109440, 115461, 119707, 107441, 103801, 103836, 66383, 95604, 114284, 122416, 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 ]
[ 1811, 34226, 20230, 117178, 112624, 107407, 19732, 89783, 82420, 20230, 107969, 54322, 107471, 27327, 29295, 103167, 17297, 78434, 9174, 103188, 27479, 16144, 117401, 198, 58426, 45829, 125030, 76947, 16144, 103188, 27479, 16144, 117401, 115717, 33541, 105879, 110371, 120264, 15682, 27384, 121313, 108995, 126194, 121894, 30512, 64121, 106272, 43568, 22649, 30512, 21105, 103, 16995, 106592, 33334, 125683, 62004, 78434, 9174, 104309, 29295, 122765, 102204, 33541, 9174, 61633, 28542, 103306, 111476, 12, 47850, 229, 104346, 101513, 198, 114516, 15682, 33014, 126867, 76739, 107167, 16073, 101921, 118, 29295, 30591, 76947, 123529, 125334, 33541, 29295, 5486, 123044, 16144, 107803, 107079, 79059, 67016, 123529, 119707, 126660, 16144, 19732, 5486, 33014, 21405, 29295, 105811, 16556, 33334, 33334, 78183, 115032, 103846, 111476, 88399, 239, 47884, 38144, 124535, 103906, 94550, 30512, 103792, 102756, 16073, 108056, 20230, 90620, 15355, 229, 104346, 101513, 30512, 122382, 90620, 76622, 77181, 5486, 115552, 115991, 107515, 9174, 33014, 30512, 102754, 94, 33503, 56051, 31431, 102754, 94, 33121, 47307, 90962, 33710, 16556, 117633, 100472, 121894, 113245, 38129, 127303, 104984, 5486, 53610, 29295, 103858, 116, 102404, 54926, 104983, 16144, 95221, 33208, 107969, 112212, 107969, 30512, 110074, 29295, 17663, 105908, 88367, 115717, 33541, 9174, 12, 44714, 96, 105564, 198, 107471, 105564, 20230, 48249, 121140, 117401, 54926, 104983, 32977, 102131, 119627, 5486, 108729, 112535, 123044, 15682, 114516, 105755, 33014, 45736, 29295, 103167, 16995, 38641, 55031, 5486, 30590, 28190, 55031, 54322, 105644, 107001, 107969, 16144, 117375, 114475, 76622, 126172, 16995, 38641, 9174, 105994, 29295, 112391, 100934, 71689, 20230, 123044, 15682, 88399, 239, 16995, 102189, 19732, 78698, 107290, 72315, 9174, 80539, 39880, 22398, 104774, 108958, 15682, 45736, 104840, 115717, 33541, 105879, 5486, 107079, 79059, 29295, 80699, 114218, 39926, 114732, 107803, 32977, 57903, 33541, 9174, 89408, 15682, 111717, 112535, 50211, 8107, 105755, 88399, 239, 16995, 105140, 101983, 103836, 101200, 16556, 5486, 102616, 112535, 91774, 111243, 49409, 103268, 79059, 16144, 108285, 16995, 119208, 20230, 121854, 88399, 239, 29295, 120824, 115032, 117840, 1811, 127164, 16144, 71493, 37823, 108526, 33710, 114676, 55139, 68408, 22398, 66953, 110494, 77181, 22, 9953, 20230, 4103, 112631, 29295, 114181, 108867, 103646, 102131, 38641, 9174, 85701, 55031, 29295, 105140, 22656, 87217, 102677, 110115, 27384, 104721, 26854, 100909, 117084, 61689, 9174, 91875, 53953, 126027, 113614, 121894, 15682, 165, 36246, 16995, 36668, 103826, 20230, 103057, 101832, 125398, 105494, 115991, 33541, 1811, 89408, 16144, 105140, 15682, 27452, 8107, 71689, 20230, 61633, 39926, 107969, 16325, 111571, 103359, 105226, 30512, 116216, 72315, 9174, 77693, 77181, 112073, 103826, 20230, 106084, 30369, 103378, 96311, 120, 102800, 105140, 29295, 37507, 33541, 104466, 68230, 68230, 128001, 128000, 44620, 102625, 20230, 106956, 36761, 106046, 103836, 17792, 20230, 78244, 102334, 16995, 106592, 102181, 102334, 1811, 98499, 25827, 72661, 33503, 58942, 104984, 119150, 9174, 107707, 64209, 15682, 112294, 76947, 47884, 104533, 198, 44620, 102625, 20230, 106956, 36761, 44620, 102625, 102189, 24273, 29295, 68759, 57207, 36761, 198, 104309, 5486, 102321, 103350, 16144, 107202, 21105, 123, 55031, 50338, 54322, 103646, 16995, 120208, 29295, 104195, 115737, 76947, 109749, 9174, 37026, 108055, 126693, 105465, 108176, 16144, 111769, 32149, 11571, 107943, 120208, 29295, 121423, 109415, 30369, 9174, 114516, 15682, 108064, 32149, 15682, 102625, 112179, 109900, 15682, 111098, 76622, 102204, 100604, 9174, 109846, 5486, 105994, 55031, 51609, 30512, 115924, 59739, 109215, 15682, 101182, 120900, 32149, 95532, 105268, 16995, 101083, 31640, 16144, 605, 31640, 5486, 508, 31640, 16556, 33014, 15682, 113614, 26854, 39177, 23538, 20230, 121993, 39926, 114732, 31634, 63212, 16144, 30537, 16, 25129, 15682, 37026, 108055, 1811, 59739, 109709, 5486, 64209, 16144, 103429, 55031, 109749, 102944, 9174, 116292, 102800, 102321, 103350, 36785, 119150, 9174, 14711, 73028, 119, 20230, 106956, 119150, 64209, 198, 122571, 198, 44620, 102625, 20230, 106956, 36761, 119150, 64209, 107407, 32943, 127303, 104984, 108057, 58942, 104533, 91763, 103836, 9174, 126920, 37026, 108055, 39926, 114604, 116537, 44620, 102625, 20230, 106956, 36761, 19732, 112832, 111201, 58655, 102639, 38144, 102625, 112179, 108995, 32149, 95532, 44620, 85701, 55031, 102625, 20230, 33541, 36761, 112832, 111201, 58655, 102639, 100934, 116537, 5486, 64209, 16144, 99849, 117120, 32149, 16556, 198, 108057, 16995, 30512, 32018, 62004, 100934, 9174, 117475, 15682, 112185, 64209, 16144, 109440, 16995, 19732, 109755, 119467, 107407, 9174, 44620, 102625, 104127, 104405, 109020, 104865, 36761, 44620, 102625, 102189, 24273, 29295, 107202, 102800, 16144, 111769, 32149, 36761, 198, 51330, 44620, 102625, 20230, 106956, 36761, 119150, 64209, 29295, 104970, 58655, 126529, 38641, 9174, 110241, 115515, 30591, 112568, 29295, 44620, 102625, 20230, 106956, 36761, 106046, 113017, 105110, 15120, 87217, 22023, 117943, 106084, 30369, 17792, 20230, 108044, 105262, 100909, 9174, 112832, 32977, 16995, 100604, 105879, 30591, 104984, 5486, 122412, 20230, 125894, 76622, 104526, 25827, 72661, 104712, 108995, 9174, 77693, 17663, 33503, 32977, 106084, 100604, 105879, 30591, 104984, 5486, 39850, 64178, 72661, 8429, 72661, 112832, 32149, 96356, 60358, 26854, 17792, 20230, 50021, 111813, 39926, 102717, 102800, 9174, 110382, 103296, 117084, 114604, 107803, 5486, 30358, 27479, 19732, 78244, 105262, 1811, 105994, 121142, 113727, 104526, 104004, 104468, 99959, 39850, 38641, 9174, 14711, 113170, 112568, 15682, 109161, 47884, 100604, 198, 44620, 102625, 20230, 106956, 36761, 106046, 100472, 114667, 15682, 99849, 123253, 32149, 95532, 114667, 15682, 103826, 104680, 32149, 121061, 1811, 119627, 108048, 15682, 27384, 116875, 198, 30591, 112568, 29295, 109161, 16995, 55031, 111769, 9174, 25197, 76428, 39850, 71289, 102040, 112718, 73590, 114475, 76622, 124620, 105994, 29295, 108056, 103306, 100604, 55031, 109161, 16995, 36761, 19732, 198, 105994, 16556, 105994, 30512, 113160, 107436, 114732, 17792, 32977, 107991, 9174, 85701, 33503, 15682, 25197, 76428, 39850, 30369, 110366, 29295, 109161, 16995, 30926, 29295, 27384, 103268, 108995, 9174, 44620, 30591, 112568, 15682, 109161, 47884, 100604, 36761, 198, 105994, 30512, 113160, 109315, 104468, 71289, 62004, 101200, 9174, 14711, 220, 105677, 25827, 72661, 104712, 198, 102625, 15682, 37087, 38144, 30512, 21388, 61689, 9174, 102625, 112179, 120264, 105110, 99849, 72661, 103082, 104533, 15682, 115408, 15682, 120267, 107515, 9174, 102625, 111363, 109440, 16995, 107407, 103826, 26854, 121894, 16556, 99849, 72661, 108608, 116497, 119703, 55031, 9174, 107943, 39177, 15682, 109440, 124059, 198, 105677, 62004, 81219, 104712, 16144, 38641, 9174, 106084, 30369, 105879, 30591, 104984, 5486, 64209, 30512, 43568, 20230, 112990, 126521, 119150, 9174, 58426, 117591, 33334, 113351, 32977, 35894, 108112, 103950, 122262, 113351, 29295, 35894, 76622, 81219, 123726, 100934, 103350, 99750, 32977, 16556, 30369, 9174, 33014, 15682, 102625, 20230, 28713, 29295, 107462, 100604, 9174, 102131, 91763, 76947, 102717, 102800, 9174, 14711, 73028, 119, 25827, 72661, 112832, 32977, 50928, 21105, 103, 16995, 198, 30591, 112568, 29295, 104157, 123733, 114598, 112832, 32977, 50928, 123410, 114754, 16995, 107515, 1811, 104004, 15024, 85791, 198, 116292, 15024, 104004, 17792, 30512, 115079, 126172, 103378, 36785, 106046, 76947, 102717, 102800, 9174, 102625, 112179, 118733, 1, 25197, 76428, 39850, 28713, 50021, 112909, 127500, 64121, 32149, 58942, 17663, 1, 115226, 26854, 30926, 30512, 113727, 100934, 16144, 105110, 56965, 121953, 9174, 102625, 102189, 33503, 120007, 29295, 34226, 37656, 54926, 104865, 11571, 34226, 37656, 56051, 104865, 104405, 32149, 17663, 33503, 102625, 104127, 103801, 76947, 15682, 78183, 55031, 112179, 110674, 9174, 116292, 21105, 123, 103378, 29295, 21990, 123606, 198, 112832, 32977, 50928, 21105, 103, 16995, 9174, 14711, 73028, 119, 102189, 76947, 104712, 198, 103283, 20230, 44620, 112832, 116421, 101399, 20230, 123726, 85791, 36761, 44620, 112832, 32149, 29295, 116292, 15024, 104004, 55031, 123726, 85791, 36761, 114016, 112844, 59739, 123731, 120937, 9174, 115364, 101399, 103378, 20230, 123726, 104984, 104712, 55031, 9174, 109860, 198, 44620, 102625, 102189, 76947, 104712, 36761, 106046, 76947, 123726, 104984, 104712, 9174, 102131, 113727, 104533, 105465, 108176, 9174, 123726, 30369, 115552, 104309, 198, 123726, 126386, 19732, 78183, 124403, 9174, 14711, 76771, 223, 32977, 102625, 20230, 106956, 106046, 100472, 107707, 20713, 17792, 198, 108895, 39926, 102181, 119188, 105879, 122571, 123726, 127280, 9174, 86127, 32977, 44620, 102625, 20230, 106956, 36761, 106046, 106358, 39177, 23538, 107407, 9174, 20119, 243, 24186, 20230, 96452, 25197, 52591, 30512, 22324, 102532, 121120, 101732, 9174, 96452, 25197, 52591, 107407, 19732, 99849, 104604, 32149, 51385, 64209, 103082, 28713, 9174, 37271, 91763, 30297, 19732, 108038, 20230, 64209, 29295, 127258, 106824, 28713, 26854, 5486, 119150, 9174, 16, 8107, 122502, 102532, 106116, 33334, 35330, 16556, 53901, 112495, 103378, 109739, 104127, 102625, 104127, 71289, 104533, 91763, 76947, 5486, 108031, 20, 8107, 29295, 103188, 105557, 28713, 9174, 80539, 115515, 15682, 112185, 21990, 105898, 16995, 106046, 103836, 9174, 30591, 112568, 105352, 16, 17620, 72661, 16, 47018, 72661, 43240, 47884, 123726, 38144, 102717, 102800, 1811, 102131, 126693, 198, 45893, 15682, 104328, 33503, 105784, 115789, 101182, 9174, 14711, 83639, 123090, 198, 114567, 104309, 77181, 16, 18904, 102625, 16144, 30297, 29295, 17, 18904, 102625, 16144, 30297, 29295, 109713, 103906, 78683, 109496, 108608, 9174, 108618, 104611, 106272, 114516, 102052, 107943, 121432, 15682, 104874, 78183, 107462, 100604, 9174, 112672, 109846, 111476, 51609, 15682, 15120, 59739, 67016, 100604, 9174, 33671, 20230, 71289, 31431, 74245, 17663, 109335, 16937, 88367, 9174, 68759, 37823, 90962, 119775, 102625, 30512, 117355, 47884, 121247, 76947, 103801, 16995, 29295, 43514, 119627, 5486, 117475, 15682, 125821, 27384, 102769, 20230, 121247, 30297, 125231, 102944, 36785, 119150, 9174, 37026, 108055, 27384, 29504, 102433, 9174, 102625, 112179, 104468, 114567, 107809, 121142, 114392, 9174, 30591, 112568, 15682, 123726, 38144, 72315, 9174, 117896, 16144, 77219, 15682, 102625, 20230, 106956, 120264, 16144, 114754, 98499, 104004, 109215, 120937, 1811, 128001, 128000, 13177, 30297, 59739, 103429, 66383, 95604, 112690, 37026, 33014, 30512, 53283, 76947, 102532, 32977, 13177, 77693, 76947, 102971, 91077, 67645, 103171, 103429, 95221, 11571, 59712, 67645, 103171, 111571, 103397, 91006, 119150, 24273, 15682, 127181, 106046, 61689, 9174, 115303, 120266, 13177, 30297, 59739, 66383, 78244, 114598, 111571, 103397, 15682, 17792, 77693, 108422, 33121, 9174, 37087, 47884, 112361, 5486, 114016, 17792, 112987, 107515, 9174, 53900, 5486, 112361, 127749, 20230, 14309, 98, 114598, 13177, 30297, 59739, 10646, 101983, 110104, 17792, 32977, 16995, 104984, 36896, 30297, 59739, 10646, 117084, 114732, 17792, 32977, 61689, 1811, 72661, 104662, 39926, 13177, 30297, 59739, 10646, 117084, 114732, 114754, 5486, 112294, 16995, 55031, 77181, 124897, 9174, 37271, 18904, 15682, 86127, 116907, 16144, 13177, 30297, 59739, 10646, 110276, 110018, 16144, 33014, 111186, 126130, 87177, 78434, 9174, 40265, 39177, 115408, 15682, 113116, 70626, 122412, 16556, 50021, 111813, 102351, 103306, 122502, 16995, 100481, 79721, 9174, 112361, 34048, 113112, 16556, 122502, 47884, 52030, 106528, 104599, 98369, 10110, 32, 98369, 7705, 107118, 108048, 26854, 112586, 30297, 17129, 47884, 114308, 40862, 103836, 59739, 123731, 16556, 56051, 9174, 32, 117940, 19732, 111243, 27384, 33503, 107188, 34171, 35083, 9174, 13177, 83747, 104680, 16144, 109335, 95221, 20230, 21105, 103, 16995, 10646, 24273, 16556, 115408, 116907, 77693, 20230, 108057, 126832, 115789, 43240, 104680, 57903, 79721, 9174, 119627, 5486, 36785, 102189, 127842, 95221, 108176, 105908, 20834, 38144, 50834, 33541, 9174, 32, 117940, 105994, 55031, 50021, 111813, 20230, 125338, 109749, 107740, 30046, 98369, 102052, 32977, 43514, 85791, 25827, 5486, 104257, 121370, 20230, 87177, 30512, 104655, 16995, 100481, 79721, 9174, 119627, 108048, 29295, 118765, 9458, 111108, 102800, 107740, 30046, 98369, 111363, 117271, 15682, 1981, 95532, 102181, 104770, 126694, 30369, 105908, 107202, 46034, 16556, 36117, 250, 62004, 104526, 126559, 110115, 5486, 115364, 71289, 31431, 106956, 100909, 103378, 15682, 114225, 20230, 19967, 13153, 9174, 61304, 108565, 16144, 19967, 13153, 32977, 74482, 18904, 15024, 20230, 1981, 9174, 32, 98369, 116907, 29295, 109215, 100604, 106046, 100472, 109335, 5486, 17905, 65743, 20230, 117952, 103468, 100909, 72661, 121019, 112909, 59739, 124324, 115789, 57903, 79721, 9174, 32, 117940, 86127, 105755, 8107, 17905, 26854, 105879, 124563, 107188, 32149, 117876, 16144, 106592, 33334, 124730, 103082, 101860, 5486, 17905, 65743, 20230, 50021, 111813, 110241, 79721, 9174, 17905, 65743, 126328, 13177, 32, 98369, 20230, 30297, 17129, 47884, 117876, 16144, 64467, 20379, 123410, 123017, 117876, 16144, 117591, 36785, 66383, 117952, 33121, 5486, 80988, 239, 105714, 76947, 64121, 79721, 29295, 1981, 9174, 102971, 91077, 115408, 15682, 13177, 32, 121944, 91875, 126660, 17620, 115408, 29295, 91875, 107188, 50834, 101668, 76864, 106046, 76947, 114604, 16144, 38641, 9174, 117032, 121101, 20230, 21601, 107290, 123213, 37507, 32, 121944, 17663, 125231, 117876, 19732, 105994, 29295, 56051, 16995, 106046, 103836, 121101, 30512, 22957, 26854, 17663, 9080, 104680, 1981, 107943, 20230, 101544, 47884, 15682, 106307, 50834, 107515, 9174, 120111, 103351, 116497, 16144, 117876, 120650, 47884, 112973, 117913, 8239, 104, 115717, 36896, 23039, 105898, 47884, 100604, 66383, 91763, 30297, 101200, 115717, 79721, 9174, 127814, 115032, 110115, 120379, 33121, 123733, 31431, 5486, 102456, 111654, 32977, 114485, 31431, 79721, 9174, 30297, 17129, 47884, 49838, 30297, 105908, 118765, 9174, 116292, 106624, 126758, 110115, 96311, 247, 29295, 30591, 105104, 106824, 109749, 9174, 24186, 104680, 5486, 95221, 48634, 19732, 33014, 48634, 107407, 114516, 77181, 104435, 86127, 9174, 114225, 20230, 102472, 22398, 124490, 121711, 79721, 9174, 46729, 55031, 20834, 30369, 100909, 17663, 33503, 119467, 115737, 31431, 5486, 106084, 123733, 31431, 79721, 9174, 33035, 94923, 61826, 16556, 13177, 126843, 5486, 107430, 75267, 55031, 106627, 33121, 17129, 109954, 66383, 117952, 33121, 5486, 105677, 107430, 30512, 89783, 118273, 103470, 84389, 79721, 9174, 122571, 13177, 102782, 15024, 117735, 100604, 59712, 117876, 29295, 121771, 98369, 101182, 110115, 59712, 109440, 115461, 119707, 107441, 103801, 103836, 66383, 95604, 114284, 122416, 29295 ]
[ 103892, 16144, 26854, 32149, 16556, 18904, 107462, 79721, 9174, 74482, 16556, 53283, 100472, 100909, 119627, 5486, 105677, 107430, 54926, 16, 32149, 9953, 25580, 55031, 102181, 104770, 16144, 101198, 22398, 29295, 43240, 102518, 102131, 38641, 9174, 32, 98369, 32977, 17905, 65743, 32977, 13177, 114387, 101198, 22398, 5486, 103572, 38574, 105110, 21105, 103, 16995, 110115, 66383, 16937, 91763, 104760, 20230, 91763, 106358, 101200, 16556, 56051, 9174, 30297, 59739, 16556, 105677, 107430, 30512, 27704, 109013, 102944, 16144, 36896, 109440, 115461, 119707, 76622, 100934, 66383, 95604, 113727, 29295, 40053, 20230, 105693, 127880, 64209, 15682, 37087, 47884, 105677, 109709, 105823, 104127, 56051, 9174, 120379, 33121, 101860, 5486, 102456, 111654, 32977, 103470, 5486, 105321, 16144, 95221, 48634, 32977, 78183, 50834, 107515, 9174, 83747, 21105, 248, 59739, 105994, 29295, 18904, 109095, 39926, 105898, 112973, 17620, 102518, 104468, 5486, 117876, 30512, 121355, 107436, 55031, 38641, 9174, 105994, 29295, 117876, 113115, 39926, 67645, 33121, 103378, 43568, 22649, 30512, 107113, 104865, 17620, 107277, 79721, 9174, 108031, 122502, 47884, 109335, 118765, 32149, 121061, 9174, 107943, 104346, 20230, 78698, 105262, 115789, 57903, 79721, 29295, 5486, 83747, 21105, 248, 59739, 95221, 48634, 29295, 18904, 109095, 15024, 5486, 126920, 83747, 21105, 248, 59739, 119627, 13177, 122502, 105898, 16995, 66383, 91763, 30297, 101200, 115717, 79721, 9174, 22957, 107404, 30512, 105677, 105823, 30369, 82973, 76947, 27384, 30926, 125651, 9174, 127814, 103468, 33503, 105677, 104004, 9174, 40265, 115926, 25580, 102083, 116285, 40265, 115926, 123628, 100909, 38641, 9174, 122571, 5486, 30297, 59739, 102677, 104468, 13177, 127814, 33121, 10646, 29295, 36117, 250, 109709, 20230, 36117, 250, 17129, 76947, 103801, 76947, 5486, 18904, 109095, 20230, 82973, 29295, 32149, 117295, 102944, 26854, 105272, 106046, 76947, 61689, 9174, 109860, 127105, 5486, 23538, 48249, 30512, 104662, 62004, 101860, 20230, 105677, 104004, 82973, 29295, 27384, 102769, 36785, 106046, 76947, 61689, 1811, 128001, 128000, 61826, 9080, 5486, 102616, 107908, 103223, 126507, 68759, 11972, 9953, 56965, 679, 24, 16144, 120972, 111629, 102181, 3391, 119752, 16144, 124766, 30512, 77219, 33208, 121256, 9174, 51330, 3391, 119752, 107809, 16556, 15120, 87217, 107167, 48552, 103646, 22656, 29295, 44620, 112624, 9953, 16144, 103309, 5486, 103760, 30512, 102923, 102332, 121960, 121359, 102700, 30046, 5232, 105635, 101701, 106515, 55030, 103129, 5486, 109432, 25333, 106045, 109898, 7705, 16556, 56051, 9174, 1049, 23, 8107, 109898, 16556, 806, 8107, 123628, 22656, 26854, 105879, 5486, 109198, 17701, 54926, 32149, 101128, 102, 102189, 123680, 106808, 115515, 18904, 15682, 111629, 124020, 16556, 108703, 31431, 38144, 98499, 104127, 64121, 79721, 9174, 567, 116195, 222, 9953, 16144, 103309, 5486, 103760, 30512, 102923, 102332, 121960, 198, 102700, 112919, 105635, 101701, 106515, 55030, 103129, 117940, 115424, 17792, 16556, 5486, 23018, 121240, 80195, 75267, 16556, 104736, 53283, 111571, 16144, 103760, 106759, 30512, 75910, 106528, 54926, 120208, 29295, 5486, 115424, 20230, 118314, 123332, 116216, 61689, 1811, 115424, 43167, 16144, 114626, 15682, 5486, 112361, 47884, 115424, 107707, 104858, 101701, 112840, 117739, 98369, 110792, 104736, 53283, 111571, 103359, 111813, 32977, 57903, 33541, 9174, 22656, 16144, 47307, 78983, 33710, 20230, 60358, 16995, 36896, 15355, 231, 66383, 95604, 115424, 112028, 34048, 30512, 48154, 126362, 78434, 9174, 15355, 231, 117811, 24186, 5232, 112624, 9953, 16144, 103309, 5486, 103760, 30512, 102923, 102332, 20230, 22324, 102532, 198, 103760, 30512, 92877, 17792, 103927, 103202, 109156, 103468, 198, 104736, 53283, 111571, 16144, 92877, 17792, 105459, 107809, 16556, 198, 106353, 111201, 103605, 76947, 86127, 104088, 59739, 109315, 103760, 29295, 198, 96311, 247, 16144, 70141, 108895, 110366, 20230, 109416, 25827, 71289, 31431, 91774, 107800, 198, 86127, 29295, 112454, 103950, 19732, 112990, 198, 99849, 32977, 78183, 117295, 116497, 126758, 103760, 29295, 198, 127880, 112909, 105557, 116186, 104043, 59739, 32149, 102189, 198, 80539, 116414, 17129, 72661, 116414, 17129, 72661, 198, 127880, 74482, 30512, 47000, 102532, 105898, 198, 104736, 53283, 111571, 16144, 106759, 30512, 75910, 106528, 102923, 102332, 20230, 113838, 107674, 110018, 16144, 122013, 16144, 102769, 100604, 120208, 5486, 40474, 86354, 29295, 115424, 107809, 55031, 111179, 32149, 104369, 16144, 19732, 115963, 20230, 5486, 112832, 32977, 107407, 101182, 106046, 105262, 15120, 47260, 68759, 38641, 9174, 51330, 115424, 43167, 30512, 98499, 104127, 5486, 115406, 15682, 104736, 53283, 111571, 16144, 103760, 126036, 5486, 122412, 16556, 16, 8107, 103188, 48154, 56051, 104736, 53283, 111571, 16144, 111656, 103760, 30512, 114284, 121216, 79721, 1811, 117355, 27479, 55031, 16325, 50667, 27479, 16144, 104736, 53283, 111571, 124911, 111363, 114284, 105755, 5486, 125821, 104736, 53283, 111571, 29295, 116748, 56051, 17792, 111363, 114284, 5486, 122013, 16144, 101161, 249, 105635, 30512, 112391, 110071, 115424, 43167, 38641, 9174, 38093, 87177, 126758, 5486, 112690, 126758, 5486, 125743, 104736, 53283, 111571, 16144, 122013, 16144, 27929, 81219, 20230, 107991, 99750, 112854, 15682, 5486, 17129, 30813, 20230, 111656, 103760, 16556, 106613, 111186, 56051, 100909, 9174, 19000, 110362, 77181, 28190, 105987, 91774, 102769, 110615, 55031, 5486, 102923, 102332, 107898, 124730, 54926, 1811, 107943, 110018, 20230, 91763, 30297, 106759, 111363, 108789, 109161, 99750, 71289, 74482, 101128, 242, 109900, 19732, 115963, 20230, 5486, 116414, 32149, 75910, 106528, 55031, 50338, 54322, 107001, 102677, 103927, 26269, 114267, 114284, 125939, 27479, 15682, 58426, 114284, 113115, 39926, 5486, 37026, 113160, 16144, 104611, 30512, 108623, 102532, 114732, 31195, 198, 115424, 43167, 30512, 98499, 62004, 81219, 50834, 104043, 5486, 104736, 53283, 111571, 75910, 106528, 30512, 106613, 111186, 56051, 116537, 13177, 78183, 117295, 78183, 117295, 66383, 17857, 253, 102532, 114732, 118733, 109954, 1811, 115406, 32977, 115424, 43167, 30512, 98499, 64121, 106272, 122141, 102131, 66383, 99849, 27479, 32977, 64209, 107809, 16556, 103721, 108, 31431, 104196, 121256, 9174, 3391, 119752, 16144, 120972, 111629, 102181, 30512, 77219, 33208, 56051, 110018, 5486, 115406, 15682, 102181, 107624, 30512, 21601, 58942, 100481, 107515, 1811, 26854, 105879, 5486, 52884, 77750, 98499, 112919, 112073, 117940, 5486, 116254, 90397, 233, 20230, 22656, 16144, 47307, 78983, 33710, 29295, 107391, 108981, 11972, 16556, 5486, 109834, 103868, 114792, 28713, 103468, 105272, 106046, 61689, 9174, 13177, 112624, 9953, 16144, 103309, 5486, 103760, 30512, 102923, 102332, 121960, 111329, 51330, 106649, 16995, 22656, 16144, 47307, 78983, 33710, 121142, 5486, 104736, 53283, 111571, 75910, 106528, 30512, 109768, 104533, 22957, 64121, 122765, 38144, 109749, 75910, 106528, 112919, 102769, 26854, 30813, 5486, 111140, 30512, 126233, 62004, 122382, 110071, 105933, 103760, 111363, 114284, 5486, 121771, 115867, 101067, 66201, 119707, 105898, 38144, 33541, 9174, 104736, 53283, 111571, 75910, 106528, 30512, 106613, 111186, 103792, 24273, 105110, 5486, 59614, 101860, 55999, 99750, 54926, 115424, 16144, 9039, 104680, 5486, 98499, 104127, 64121, 38144, 72315, 106609, 110589, 110241, 33121, 104043, 5486, 15024, 33121, 104043, 9174, 11144, 2366, 18, 8107, 114341, 102446, 38093, 103911, 23187, 112479, 16, 14, 1682, 10110, 9080, 123407, 35722, 120, 106157, 72099, 106515, 46034, 23530, 9458, 125446, 109076, 102865, 11651, 110096, 37729, 16144, 116718, 128001, 128000, 2, 100844, 102, 23538, 102404, 91774, 5486, 103856, 23538, 122521, 29295, 22398, 91062, 106240, 26854, 13153, 101544, 19732, 45163, 37507, 107294, 105722, 31431, 33541, 1811, 121222, 111681, 74482, 50667, 68408, 25197, 60868, 113649, 117718, 52591, 93488, 109933, 122624, 198, 102404, 104067, 108502, 104698, 15682, 5486, 61826, 36827, 109904, 101171, 111, 121432, 16144, 109606, 113468, 22656, 107707, 121837, 198, 71289, 80988, 239, 105714, 31431, 107118, 43568, 116690, 20230, 5486, 9080, 40053, 104654, 107809, 16556, 43240, 119064, 110482, 111108, 30813, 29295, 198, 101182, 108502, 104698, 38641, 9174, 58426, 103846, 5486, 108608, 103378, 103856, 23538, 16144, 122521, 60868, 121057, 16144, 111671, 29295, 198, 107693, 16556, 5486, 102404, 104067, 108502, 104698, 30046, 122521, 25333, 121960, 32977, 103856, 23538, 102404, 91774, 16144, 107693, 34171, 198, 29295, 20379, 116216, 61689, 9174, 102404, 104067, 108502, 104698, 19732, 15120, 78244, 16556, 16995, 114598, 5486, 1950, 35, 10110, 37026, 119962, 118347, 110548, 32131, 91062, 111571, 65459, 198, 1846, 19694, 10110, 61633, 124490, 30624, 43240, 91875, 34171, 108502, 104698, 65459, 12615, 43444, 48864, 108710, 108502, 104698, 7705, 104309, 198, 104091, 104770, 115991, 115847, 33503, 15682, 116880, 103792, 105908, 105693, 31431, 111476, 69978, 103836, 66378, 34171, 15682, 16, 17792, 16, 17792, 16556, 108901, 26854, 103836, 105879, 5486, 120761, 64889, 32977, 198, 58426, 123470, 117271, 32977, 112825, 110904, 77181, 124897, 9174, 90620, 110371, 16, 17792, 16, 17792, 16556, 108010, 30297, 66378, 34171, 113115, 39926, 109431, 102769, 26854, 117271, 71289, 198, 60868, 121057, 29295, 50928, 102204, 100604, 110674, 104654, 30512, 106307, 76622, 100481, 126145, 123213, 17792, 20230, 198, 19732, 76947, 15682, 19732, 111243, 123726, 115200, 16995, 121894, 26854, 105879, 5486, 13153, 101544, 19732, 55999, 20230, 30297, 59739, 71289, 198, 127408, 108502, 104698, 5486, 80805, 122842, 108502, 104698, 123160, 41920, 33671, 109904, 108502, 104698, 30512, 102404, 111571, 39926, 198, 114732, 125396, 29295, 45736, 115737, 31431, 33541, 9174, 77181, 5486, 103856, 23538, 102404, 91774, 16144, 39177, 23538, 20230, 30591, 28713, 30369, 113261, 116581, 23538, 20230, 95221, 47000, 47884, 80805, 102514, 16073, 198, 103306, 67645, 103171, 102944, 107407, 32149, 102677, 19732, 111476, 126843, 15682, 123050, 30046, 29295, 45829, 101662, 38144, 107809, 16556, 45829, 67645, 102944, 102404, 104067, 20230, 108010, 34208, 99750, 30512, 198, 112391, 38144, 5486, 50021, 111813, 107294, 105722, 30369, 80805, 102514, 16073, 38641, 9174, 94134, 33014, 16556, 23039, 78183, 115032, 20713, 97049, 60596, 32149, 9953, 71289, 34617, 97049, 116581, 16144, 111528, 113261, 116581, 105298, 120761, 32977, 198, 95221, 114308, 16144, 50834, 42891, 126929, 115717, 33541, 9174, 53900, 5486, 45829, 67645, 32977, 29295, 39442, 112624, 116581, 33563, 101662, 104309, 114475, 76622, 100934, 126513, 111476, 104674, 16144, 105408, 102677, 107803, 32977, 57903, 33541, 9174, 71289, 15682, 31431, 5486, 9080, 40053, 112535, 45829, 67645, 32977, 19732, 103188, 48154, 17663, 82973, 29295, 101544, 16995, 114754, 95221, 114308, 198, 126172, 47884, 5486, 122013, 107809, 72661, 104662, 117864, 82973, 67016, 126419, 20230, 103188, 48154, 39926, 198, 16995, 100604, 17792, 77181, 5486, 95221, 114308, 20230, 47884, 102518, 31431, 78434, 9174, 80673, 5486, 72342, 42891, 32149, 47884, 95221, 114308, 16144, 50834, 42891, 126929, 30512, 50928, 111243, 106116, 74482, 198, 103350, 104983, 20230, 122521, 20230, 28713, 67645, 31431, 59739, 47884, 103296, 102052, 112185, 102040, 65575, 33710, 115991, 33541, 9174, 122013, 107809, 16556, 37689, 91774, 29295, 40862, 78183, 104435, 31431, 5486, 104674, 16144, 105408, 71289, 33563, 105298, 104599, 98369, 198, 104309, 29295, 71174, 119707, 107441, 32977, 123050, 30046, 116907, 20230, 30591, 109709, 110482, 31431, 99750, 119703, 198, 102677, 126513, 26854, 107188, 32149, 122521, 20230, 102971, 102802, 114308, 107515, 9174, 102404, 104067, 108502, 104698, 15682, 127177, 108502, 104698, 19732, 108010, 76947, 31958, 105184, 26854, 101911, 113801, 107407, 113334, 77181, 198, 103470, 5486, 66378, 34171, 16144, 20834, 24273, 71289, 111571, 103397, 16144, 113314, 113468, 15682, 78183, 107277, 20230, 47884, 16995, 198, 108502, 104698, 38641, 9174, 53900, 5486, 41758, 44971, 38248, 122, 107060, 102677, 5486, 66378, 34171, 15682, 101182, 102944, 16144, 120761, 64889, 75146, 107253, 30512, 198, 112624, 28713, 17663, 108680, 111769, 102677, 121894, 32977, 48706, 54926, 105879, 5486, 122521, 30512, 198, 101682, 105784, 103296, 20230, 82973, 29295, 32149, 126469, 114732, 109335, 83747, 103470, 124897, 9174, 122270, 5486, 110482, 31431, 99750, 15682, 104674, 71289, 104575, 104309, 43167, 108638, 104654, 16144, 75267, 28190, 16556, 21990, 100204, 126172, 16995, 198, 105879, 5486, 118006, 113245, 110783, 67016, 91774, 126386, 19732, 101067, 66201, 15024, 20230, 47884, 47884, 198, 122521, 16144, 109215, 34171, 30512, 112391, 30369, 109335, 111108, 102800, 107803, 32977, 57903, 33541, 9174, 119627, 5486, 102404, 104067, 108502, 104698, 16144, 66378, 34171, 30512, 110794, 125702, 72342, 100934, 19732, 9080, 40053, 104654, 77181, 198, 104654, 28190, 5486, 48864, 108710, 28190, 5486, 103359, 17792, 116690, 71289, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 123160, 28190, 16556, 198, 103826, 104680, 26854, 110482, 31431, 48154, 19732, 20230, 74245, 28190, 54926, 102944, 38641, 9174, 80539, 45829, 67645, 32977, 116907, 15682, 58426, 110482, 31431, 99750, 30512, 120007, 20230, 108044, 105262, 112973, 107202, 46034, 26854, 198, 115789, 127181, 105879, 5486, 41642, 116310, 16144, 95221, 114308, 15682, 19732, 111243, 107693, 117084, 198, 109749, 16144, 38641, 9174, 122521, 30512, 109215, 103306, 107991, 37087, 38144, 117255, 67645, 32977, 104067, 29295, 5486, 105994, 20230, 40862, 100472, 198, 122521, 16556, 9080, 104680, 16144, 110482, 31431, 99750, 30512, 103470, 109768, 50834, 5486, 51385, 64209, 39926, 104654, 21105, 103, 29295, 33503, 198, 69978, 103836, 123457, 126521, 112169, 20230, 5486, 80539, 112366, 48249, 20230, 110137, 81219, 109768, 76947, 198, 122765, 110071, 104466, 60868, 121057, 30512, 39926, 122765, 30369, 105908, 27384, 102769, 38641, 9174, 86127, 126027, 100927, 102452, 15682, 111717, 20230, 52591, 93488, 109933, 122624, 77413, 87447, 127145, 9174, 54322, 111681, 74482, 50667, 68408, 25197, 60868, 113649, 117718, 100927, 102452, 103768, 112167, 20230, 109834, 103868, 126130, 110794, 120332, 15682, 198, 112371, 104328, 17297, 61304, 103296, 48154, 89046, 117139, 9458, 48154, 50021, 111813, 72315, 9174, 827, 121222, 111681, 74482, 50667, 68408, 25197, 125175, 16396, 21601, 107808, 119890, 120766, 9174, 33334, 99397, 16995, 114146, 9458, 109544, 109311, 32018, 15682, 33334, 95221, 117355, 20230, 106609, 44620, 54322, 111681, 74482, 50667, 68408, 25197, 125175, 36761, 16144, 52591, 93488, 109933, 122624, 106613, 112167, 123863, 198, 48154, 50021, 111813, 126130, 75293, 43514, 126020, 33541, 1811, 128001, 128000, 2, 82035, 106839, 17701, 122521, 118482, 118013, 109415, 103309, 87177, 198, 567, 108295, 100204, 62004, 20230, 198, 22656, 77219, 15682, 36518, 9009, 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 ]
[ 103892, 16144, 26854, 32149, 16556, 18904, 107462, 79721, 9174, 74482, 16556, 53283, 100472, 100909, 119627, 5486, 105677, 107430, 54926, 16, 32149, 9953, 25580, 55031, 102181, 104770, 16144, 101198, 22398, 29295, 43240, 102518, 102131, 38641, 9174, 32, 98369, 32977, 17905, 65743, 32977, 13177, 114387, 101198, 22398, 5486, 103572, 38574, 105110, 21105, 103, 16995, 110115, 66383, 16937, 91763, 104760, 20230, 91763, 106358, 101200, 16556, 56051, 9174, 30297, 59739, 16556, 105677, 107430, 30512, 27704, 109013, 102944, 16144, 36896, 109440, 115461, 119707, 76622, 100934, 66383, 95604, 113727, 29295, 40053, 20230, 105693, 127880, 64209, 15682, 37087, 47884, 105677, 109709, 105823, 104127, 56051, 9174, 120379, 33121, 101860, 5486, 102456, 111654, 32977, 103470, 5486, 105321, 16144, 95221, 48634, 32977, 78183, 50834, 107515, 9174, 83747, 21105, 248, 59739, 105994, 29295, 18904, 109095, 39926, 105898, 112973, 17620, 102518, 104468, 5486, 117876, 30512, 121355, 107436, 55031, 38641, 9174, 105994, 29295, 117876, 113115, 39926, 67645, 33121, 103378, 43568, 22649, 30512, 107113, 104865, 17620, 107277, 79721, 9174, 108031, 122502, 47884, 109335, 118765, 32149, 121061, 9174, 107943, 104346, 20230, 78698, 105262, 115789, 57903, 79721, 29295, 5486, 83747, 21105, 248, 59739, 95221, 48634, 29295, 18904, 109095, 15024, 5486, 126920, 83747, 21105, 248, 59739, 119627, 13177, 122502, 105898, 16995, 66383, 91763, 30297, 101200, 115717, 79721, 9174, 22957, 107404, 30512, 105677, 105823, 30369, 82973, 76947, 27384, 30926, 125651, 9174, 127814, 103468, 33503, 105677, 104004, 9174, 40265, 115926, 25580, 102083, 116285, 40265, 115926, 123628, 100909, 38641, 9174, 122571, 5486, 30297, 59739, 102677, 104468, 13177, 127814, 33121, 10646, 29295, 36117, 250, 109709, 20230, 36117, 250, 17129, 76947, 103801, 76947, 5486, 18904, 109095, 20230, 82973, 29295, 32149, 117295, 102944, 26854, 105272, 106046, 76947, 61689, 9174, 109860, 127105, 5486, 23538, 48249, 30512, 104662, 62004, 101860, 20230, 105677, 104004, 82973, 29295, 27384, 102769, 36785, 106046, 76947, 61689, 1811, 128001, 128000, 61826, 9080, 5486, 102616, 107908, 103223, 126507, 68759, 11972, 9953, 56965, 679, 24, 16144, 120972, 111629, 102181, 3391, 119752, 16144, 124766, 30512, 77219, 33208, 121256, 9174, 51330, 3391, 119752, 107809, 16556, 15120, 87217, 107167, 48552, 103646, 22656, 29295, 44620, 112624, 9953, 16144, 103309, 5486, 103760, 30512, 102923, 102332, 121960, 121359, 102700, 30046, 5232, 105635, 101701, 106515, 55030, 103129, 5486, 109432, 25333, 106045, 109898, 7705, 16556, 56051, 9174, 1049, 23, 8107, 109898, 16556, 806, 8107, 123628, 22656, 26854, 105879, 5486, 109198, 17701, 54926, 32149, 101128, 102, 102189, 123680, 106808, 115515, 18904, 15682, 111629, 124020, 16556, 108703, 31431, 38144, 98499, 104127, 64121, 79721, 9174, 567, 116195, 222, 9953, 16144, 103309, 5486, 103760, 30512, 102923, 102332, 121960, 198, 102700, 112919, 105635, 101701, 106515, 55030, 103129, 117940, 115424, 17792, 16556, 5486, 23018, 121240, 80195, 75267, 16556, 104736, 53283, 111571, 16144, 103760, 106759, 30512, 75910, 106528, 54926, 120208, 29295, 5486, 115424, 20230, 118314, 123332, 116216, 61689, 1811, 115424, 43167, 16144, 114626, 15682, 5486, 112361, 47884, 115424, 107707, 104858, 101701, 112840, 117739, 98369, 110792, 104736, 53283, 111571, 103359, 111813, 32977, 57903, 33541, 9174, 22656, 16144, 47307, 78983, 33710, 20230, 60358, 16995, 36896, 15355, 231, 66383, 95604, 115424, 112028, 34048, 30512, 48154, 126362, 78434, 9174, 15355, 231, 117811, 24186, 5232, 112624, 9953, 16144, 103309, 5486, 103760, 30512, 102923, 102332, 20230, 22324, 102532, 198, 103760, 30512, 92877, 17792, 103927, 103202, 109156, 103468, 198, 104736, 53283, 111571, 16144, 92877, 17792, 105459, 107809, 16556, 198, 106353, 111201, 103605, 76947, 86127, 104088, 59739, 109315, 103760, 29295, 198, 96311, 247, 16144, 70141, 108895, 110366, 20230, 109416, 25827, 71289, 31431, 91774, 107800, 198, 86127, 29295, 112454, 103950, 19732, 112990, 198, 99849, 32977, 78183, 117295, 116497, 126758, 103760, 29295, 198, 127880, 112909, 105557, 116186, 104043, 59739, 32149, 102189, 198, 80539, 116414, 17129, 72661, 116414, 17129, 72661, 198, 127880, 74482, 30512, 47000, 102532, 105898, 198, 104736, 53283, 111571, 16144, 106759, 30512, 75910, 106528, 102923, 102332, 20230, 113838, 107674, 110018, 16144, 122013, 16144, 102769, 100604, 120208, 5486, 40474, 86354, 29295, 115424, 107809, 55031, 111179, 32149, 104369, 16144, 19732, 115963, 20230, 5486, 112832, 32977, 107407, 101182, 106046, 105262, 15120, 47260, 68759, 38641, 9174, 51330, 115424, 43167, 30512, 98499, 104127, 5486, 115406, 15682, 104736, 53283, 111571, 16144, 103760, 126036, 5486, 122412, 16556, 16, 8107, 103188, 48154, 56051, 104736, 53283, 111571, 16144, 111656, 103760, 30512, 114284, 121216, 79721, 1811, 117355, 27479, 55031, 16325, 50667, 27479, 16144, 104736, 53283, 111571, 124911, 111363, 114284, 105755, 5486, 125821, 104736, 53283, 111571, 29295, 116748, 56051, 17792, 111363, 114284, 5486, 122013, 16144, 101161, 249, 105635, 30512, 112391, 110071, 115424, 43167, 38641, 9174, 38093, 87177, 126758, 5486, 112690, 126758, 5486, 125743, 104736, 53283, 111571, 16144, 122013, 16144, 27929, 81219, 20230, 107991, 99750, 112854, 15682, 5486, 17129, 30813, 20230, 111656, 103760, 16556, 106613, 111186, 56051, 100909, 9174, 19000, 110362, 77181, 28190, 105987, 91774, 102769, 110615, 55031, 5486, 102923, 102332, 107898, 124730, 54926, 1811, 107943, 110018, 20230, 91763, 30297, 106759, 111363, 108789, 109161, 99750, 71289, 74482, 101128, 242, 109900, 19732, 115963, 20230, 5486, 116414, 32149, 75910, 106528, 55031, 50338, 54322, 107001, 102677, 103927, 26269, 114267, 114284, 125939, 27479, 15682, 58426, 114284, 113115, 39926, 5486, 37026, 113160, 16144, 104611, 30512, 108623, 102532, 114732, 31195, 198, 115424, 43167, 30512, 98499, 62004, 81219, 50834, 104043, 5486, 104736, 53283, 111571, 75910, 106528, 30512, 106613, 111186, 56051, 116537, 13177, 78183, 117295, 78183, 117295, 66383, 17857, 253, 102532, 114732, 118733, 109954, 1811, 115406, 32977, 115424, 43167, 30512, 98499, 64121, 106272, 122141, 102131, 66383, 99849, 27479, 32977, 64209, 107809, 16556, 103721, 108, 31431, 104196, 121256, 9174, 3391, 119752, 16144, 120972, 111629, 102181, 30512, 77219, 33208, 56051, 110018, 5486, 115406, 15682, 102181, 107624, 30512, 21601, 58942, 100481, 107515, 1811, 26854, 105879, 5486, 52884, 77750, 98499, 112919, 112073, 117940, 5486, 116254, 90397, 233, 20230, 22656, 16144, 47307, 78983, 33710, 29295, 107391, 108981, 11972, 16556, 5486, 109834, 103868, 114792, 28713, 103468, 105272, 106046, 61689, 9174, 13177, 112624, 9953, 16144, 103309, 5486, 103760, 30512, 102923, 102332, 121960, 111329, 51330, 106649, 16995, 22656, 16144, 47307, 78983, 33710, 121142, 5486, 104736, 53283, 111571, 75910, 106528, 30512, 109768, 104533, 22957, 64121, 122765, 38144, 109749, 75910, 106528, 112919, 102769, 26854, 30813, 5486, 111140, 30512, 126233, 62004, 122382, 110071, 105933, 103760, 111363, 114284, 5486, 121771, 115867, 101067, 66201, 119707, 105898, 38144, 33541, 9174, 104736, 53283, 111571, 75910, 106528, 30512, 106613, 111186, 103792, 24273, 105110, 5486, 59614, 101860, 55999, 99750, 54926, 115424, 16144, 9039, 104680, 5486, 98499, 104127, 64121, 38144, 72315, 106609, 110589, 110241, 33121, 104043, 5486, 15024, 33121, 104043, 9174, 11144, 2366, 18, 8107, 114341, 102446, 38093, 103911, 23187, 112479, 16, 14, 1682, 10110, 9080, 123407, 35722, 120, 106157, 72099, 106515, 46034, 23530, 9458, 125446, 109076, 102865, 11651, 110096, 37729, 16144, 116718, 128001, 128000, 2, 100844, 102, 23538, 102404, 91774, 5486, 103856, 23538, 122521, 29295, 22398, 91062, 106240, 26854, 13153, 101544, 19732, 45163, 37507, 107294, 105722, 31431, 33541, 1811, 121222, 111681, 74482, 50667, 68408, 25197, 60868, 113649, 117718, 52591, 93488, 109933, 122624, 198, 102404, 104067, 108502, 104698, 15682, 5486, 61826, 36827, 109904, 101171, 111, 121432, 16144, 109606, 113468, 22656, 107707, 121837, 198, 71289, 80988, 239, 105714, 31431, 107118, 43568, 116690, 20230, 5486, 9080, 40053, 104654, 107809, 16556, 43240, 119064, 110482, 111108, 30813, 29295, 198, 101182, 108502, 104698, 38641, 9174, 58426, 103846, 5486, 108608, 103378, 103856, 23538, 16144, 122521, 60868, 121057, 16144, 111671, 29295, 198, 107693, 16556, 5486, 102404, 104067, 108502, 104698, 30046, 122521, 25333, 121960, 32977, 103856, 23538, 102404, 91774, 16144, 107693, 34171, 198, 29295, 20379, 116216, 61689, 9174, 102404, 104067, 108502, 104698, 19732, 15120, 78244, 16556, 16995, 114598, 5486, 1950, 35, 10110, 37026, 119962, 118347, 110548, 32131, 91062, 111571, 65459, 198, 1846, 19694, 10110, 61633, 124490, 30624, 43240, 91875, 34171, 108502, 104698, 65459, 12615, 43444, 48864, 108710, 108502, 104698, 7705, 104309, 198, 104091, 104770, 115991, 115847, 33503, 15682, 116880, 103792, 105908, 105693, 31431, 111476, 69978, 103836, 66378, 34171, 15682, 16, 17792, 16, 17792, 16556, 108901, 26854, 103836, 105879, 5486, 120761, 64889, 32977, 198, 58426, 123470, 117271, 32977, 112825, 110904, 77181, 124897, 9174, 90620, 110371, 16, 17792, 16, 17792, 16556, 108010, 30297, 66378, 34171, 113115, 39926, 109431, 102769, 26854, 117271, 71289, 198, 60868, 121057, 29295, 50928, 102204, 100604, 110674, 104654, 30512, 106307, 76622, 100481, 126145, 123213, 17792, 20230, 198, 19732, 76947, 15682, 19732, 111243, 123726, 115200, 16995, 121894, 26854, 105879, 5486, 13153, 101544, 19732, 55999, 20230, 30297, 59739, 71289, 198, 127408, 108502, 104698, 5486, 80805, 122842, 108502, 104698, 123160, 41920, 33671, 109904, 108502, 104698, 30512, 102404, 111571, 39926, 198, 114732, 125396, 29295, 45736, 115737, 31431, 33541, 9174, 77181, 5486, 103856, 23538, 102404, 91774, 16144, 39177, 23538, 20230, 30591, 28713, 30369, 113261, 116581, 23538, 20230, 95221, 47000, 47884, 80805, 102514, 16073, 198, 103306, 67645, 103171, 102944, 107407, 32149, 102677, 19732, 111476, 126843, 15682, 123050, 30046, 29295, 45829, 101662, 38144, 107809, 16556, 45829, 67645, 102944, 102404, 104067, 20230, 108010, 34208, 99750, 30512, 198, 112391, 38144, 5486, 50021, 111813, 107294, 105722, 30369, 80805, 102514, 16073, 38641, 9174, 94134, 33014, 16556, 23039, 78183, 115032, 20713, 97049, 60596, 32149, 9953, 71289, 34617, 97049, 116581, 16144, 111528, 113261, 116581, 105298, 120761, 32977, 198, 95221, 114308, 16144, 50834, 42891, 126929, 115717, 33541, 9174, 53900, 5486, 45829, 67645, 32977, 29295, 39442, 112624, 116581, 33563, 101662, 104309, 114475, 76622, 100934, 126513, 111476, 104674, 16144, 105408, 102677, 107803, 32977, 57903, 33541, 9174, 71289, 15682, 31431, 5486, 9080, 40053, 112535, 45829, 67645, 32977, 19732, 103188, 48154, 17663, 82973, 29295, 101544, 16995, 114754, 95221, 114308, 198, 126172, 47884, 5486, 122013, 107809, 72661, 104662, 117864, 82973, 67016, 126419, 20230, 103188, 48154, 39926, 198, 16995, 100604, 17792, 77181, 5486, 95221, 114308, 20230, 47884, 102518, 31431, 78434, 9174, 80673, 5486, 72342, 42891, 32149, 47884, 95221, 114308, 16144, 50834, 42891, 126929, 30512, 50928, 111243, 106116, 74482, 198, 103350, 104983, 20230, 122521, 20230, 28713, 67645, 31431, 59739, 47884, 103296, 102052, 112185, 102040, 65575, 33710, 115991, 33541, 9174, 122013, 107809, 16556, 37689, 91774, 29295, 40862, 78183, 104435, 31431, 5486, 104674, 16144, 105408, 71289, 33563, 105298, 104599, 98369, 198, 104309, 29295, 71174, 119707, 107441, 32977, 123050, 30046, 116907, 20230, 30591, 109709, 110482, 31431, 99750, 119703, 198, 102677, 126513, 26854, 107188, 32149, 122521, 20230, 102971, 102802, 114308, 107515, 9174, 102404, 104067, 108502, 104698, 15682, 127177, 108502, 104698, 19732, 108010, 76947, 31958, 105184, 26854, 101911, 113801, 107407, 113334, 77181, 198, 103470, 5486, 66378, 34171, 16144, 20834, 24273, 71289, 111571, 103397, 16144, 113314, 113468, 15682, 78183, 107277, 20230, 47884, 16995, 198, 108502, 104698, 38641, 9174, 53900, 5486, 41758, 44971, 38248, 122, 107060, 102677, 5486, 66378, 34171, 15682, 101182, 102944, 16144, 120761, 64889, 75146, 107253, 30512, 198, 112624, 28713, 17663, 108680, 111769, 102677, 121894, 32977, 48706, 54926, 105879, 5486, 122521, 30512, 198, 101682, 105784, 103296, 20230, 82973, 29295, 32149, 126469, 114732, 109335, 83747, 103470, 124897, 9174, 122270, 5486, 110482, 31431, 99750, 15682, 104674, 71289, 104575, 104309, 43167, 108638, 104654, 16144, 75267, 28190, 16556, 21990, 100204, 126172, 16995, 198, 105879, 5486, 118006, 113245, 110783, 67016, 91774, 126386, 19732, 101067, 66201, 15024, 20230, 47884, 47884, 198, 122521, 16144, 109215, 34171, 30512, 112391, 30369, 109335, 111108, 102800, 107803, 32977, 57903, 33541, 9174, 119627, 5486, 102404, 104067, 108502, 104698, 16144, 66378, 34171, 30512, 110794, 125702, 72342, 100934, 19732, 9080, 40053, 104654, 77181, 198, 104654, 28190, 5486, 48864, 108710, 28190, 5486, 103359, 17792, 116690, 71289, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 123160, 28190, 16556, 198, 103826, 104680, 26854, 110482, 31431, 48154, 19732, 20230, 74245, 28190, 54926, 102944, 38641, 9174, 80539, 45829, 67645, 32977, 116907, 15682, 58426, 110482, 31431, 99750, 30512, 120007, 20230, 108044, 105262, 112973, 107202, 46034, 26854, 198, 115789, 127181, 105879, 5486, 41642, 116310, 16144, 95221, 114308, 15682, 19732, 111243, 107693, 117084, 198, 109749, 16144, 38641, 9174, 122521, 30512, 109215, 103306, 107991, 37087, 38144, 117255, 67645, 32977, 104067, 29295, 5486, 105994, 20230, 40862, 100472, 198, 122521, 16556, 9080, 104680, 16144, 110482, 31431, 99750, 30512, 103470, 109768, 50834, 5486, 51385, 64209, 39926, 104654, 21105, 103, 29295, 33503, 198, 69978, 103836, 123457, 126521, 112169, 20230, 5486, 80539, 112366, 48249, 20230, 110137, 81219, 109768, 76947, 198, 122765, 110071, 104466, 60868, 121057, 30512, 39926, 122765, 30369, 105908, 27384, 102769, 38641, 9174, 86127, 126027, 100927, 102452, 15682, 111717, 20230, 52591, 93488, 109933, 122624, 77413, 87447, 127145, 9174, 54322, 111681, 74482, 50667, 68408, 25197, 60868, 113649, 117718, 100927, 102452, 103768, 112167, 20230, 109834, 103868, 126130, 110794, 120332, 15682, 198, 112371, 104328, 17297, 61304, 103296, 48154, 89046, 117139, 9458, 48154, 50021, 111813, 72315, 9174, 827, 121222, 111681, 74482, 50667, 68408, 25197, 125175, 16396, 21601, 107808, 119890, 120766, 9174, 33334, 99397, 16995, 114146, 9458, 109544, 109311, 32018, 15682, 33334, 95221, 117355, 20230, 106609, 44620, 54322, 111681, 74482, 50667, 68408, 25197, 125175, 36761, 16144, 52591, 93488, 109933, 122624, 106613, 112167, 123863, 198, 48154, 50021, 111813, 126130, 75293, 43514, 126020, 33541, 1811, 128001, 128000, 2, 82035, 106839, 17701, 122521, 118482, 118013, 109415, 103309, 87177, 198, 567, 108295, 100204, 62004, 20230, 198, 22656, 77219, 15682, 36518, 9009, 16144 ]
[ 112113, 39276, 77219, 126194, 5486, 36518, 9009, 16144, 106839, 17701, 122521, 118482, 30512, 118013, 109415, 28713, 104983, 16144, 198, 107202, 8239, 112, 87177, 5486, 91482, 76428, 102750, 22398, 118013, 109415, 25580, 123470, 127749, 104721, 33208, 123334, 76947, 64121, 38144, 17620, 102518, 100909, 104309, 30512, 123011, 109013, 77219, 38641, 9174, 85701, 55031, 36518, 9009, 97518, 89046, 118482, 16144, 118013, 109415, 30512, 111800, 118219, 110731, 114435, 103826, 121254, 107674, 77219, 121711, 33541, 9174, 126738, 5486, 77219, 16144, 61304, 107121, 103792, 86127, 116907, 16144, 40265, 125344, 80195, 75267, 15682, 13177, 19732, 101182, 118953, 107610, 101544, 10646, 113314, 16556, 5486, 66378, 20230, 118482, 113115, 39926, 198, 114640, 122074, 112607, 126758, 5486, 48154, 47884, 48154, 47884, 110219, 16144, 68759, 102750, 78767, 68581, 11972, 80195, 75267, 113245, 118013, 109415, 87177, 121711, 33541, 9174, 567, 115857, 43514, 109415, 28713, 124858, 198, 66378, 20230, 108695, 55031, 20251, 103830, 99959, 115691, 16556, 36518, 9009, 118482, 30512, 118013, 109415, 57980, 102677, 64467, 20379, 122291, 117735, 126194, 198, 40265, 39177, 5486, 126913, 54926, 124180, 16556, 88852, 16144, 111681, 104482, 115991, 50338, 33420, 56051, 47884, 108048, 30512, 103350, 102321, 106084, 30369, 112973, 198, 36518, 9009, 103351, 102677, 124858, 115991, 33541, 59459, 126521, 115552, 16556, 13870, 232, 61337, 15682, 58426, 115195, 111331, 114940, 33857, 29295, 111764, 38641, 49838, 23954, 123274, 31634, 63212, 198, 118075, 39850, 127058, 20230, 52591, 33710, 37823, 102494, 84477, 72661, 19967, 101275, 108608, 118482, 75146, 114457, 30512, 104908, 56051, 102518, 9174, 106759, 16144, 75910, 106528, 71289, 127032, 16144, 101662, 116581, 16144, 107803, 5486, 14167, 100, 65854, 40053, 126202, 71289, 109311, 109972, 81742, 14558, 118816, 117501, 29295, 111108, 102800, 112973, 103350, 40474, 16556, 56051, 9174, 103350, 104983, 20230, 77693, 29295, 114667, 16556, 56906, 107430, 54926, 30926, 27452, 32977, 57903, 5486, 50338, 33420, 56051, 102518, 9174, 119560, 37026, 61337, 19967, 101275, 119653, 59739, 109332, 127058, 29295, 55999, 33035, 16144, 87177, 104482, 16556, 122401, 108608, 118482, 75146, 114457, 126694, 31431, 28713, 102518, 9174, 14137, 261, 101182, 101182, 119627, 5486, 65854, 61826, 40053, 126202, 32977, 43240, 47884, 5486, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 29295, 108167, 115200, 16995, 111681, 104482, 115991, 79721, 9174, 110924, 32977, 50338, 33420, 56051, 102518, 9174, 48915, 34048, 31634, 63212, 198, 126892, 107740, 108608, 102741, 37823, 72369, 38248, 115, 78205, 16073, 30512, 8239, 114503, 112535, 33655, 30297, 113146, 117084, 105898, 9174, 49412, 96, 110904, 116254, 20230, 76739, 47260, 123141, 29295, 101523, 227, 126235, 103351, 9174, 567, 85997, 85707, 16144, 91482, 76428, 102750, 22398, 107963, 109369, 19732, 112599, 16144, 91482, 76428, 102750, 22398, 107963, 109369, 109853, 198, 126843, 15682, 5486, 105242, 105755, 110322, 26955, 254, 9174, 118013, 109415, 25580, 74482, 16556, 67645, 119775, 91482, 76428, 102750, 22398, 127749, 29295, 124500, 100472, 104865, 104865, 15682, 5486, 17297, 30512, 126229, 72315, 9174, 126738, 5486, 13870, 232, 61337, 15682, 679, 24, 8107, 55031, 119273, 104680, 20230, 36518, 9009, 118482, 16144, 118013, 109415, 117824, 16995, 5486, 112599, 19, 8107, 118322, 127749, 38641, 9174, 64780, 35469, 115, 33014, 109904, 35330, 109518, 71289, 14558, 9039, 15682, 103851, 58942, 107726, 100481, 90620, 50834, 33541, 29295, 5486, 112599, 77181, 118013, 109415, 123628, 198, 91482, 76428, 102750, 22398, 106045, 54872, 71689, 16144, 22398, 102663, 64178, 30512, 20834, 72342, 127280, 9174, 827, 115857, 43514, 109415, 123628, 91482, 76428, 102750, 22398, 107963, 109369, 198, 9458, 14167, 100, 65854, 61826, 40053, 126202, 5232, 1490, 4, 5486, 37026, 61337, 110794, 112454, 31431, 5232, 508, 113127, 198, 9458, 102717, 109416, 110577, 25359, 18655, 73686, 117758, 120321, 106307, 81742, 14558, 198, 9458, 101275, 116486, 15682, 23538, 29295, 27704, 115464, 38574, 106090, 16556, 102717, 109416, 105184, 23187, 10110, 110577, 25359, 14167, 100, 65854, 16144, 18655, 73686, 16556, 33334, 33334, 57980, 58426, 102404, 26130, 33857, 29295, 91774, 105262, 105879, 23954, 9458, 112361, 121606, 32943, 125743, 5486, 14167, 100, 65854, 121101, 71289, 108167, 121247, 30297, 112113, 32977, 121953, 5486, 39850, 127058, 56965, 16556, 55999, 33035, 16144, 87177, 104482, 29295, 83747, 100604, 198, 827, 115857, 43514, 109415, 123470, 91482, 76428, 102750, 22398, 107963, 109369, 198, 9458, 14167, 100, 65854, 61826, 40053, 126202, 5232, 605, 4, 5486, 37026, 61337, 110794, 112454, 31431, 5232, 1954, 113127, 198, 52118, 220, 102717, 109416, 111017, 40862, 29295, 116900, 108436, 198, 9458, 101275, 116486, 15682, 36518, 9009, 106839, 17701, 122521, 16325, 16144, 14167, 100, 65854, 117758, 120321, 106307, 81742, 14558, 5232, 1490, 4, 5486, 17039, 106045, 14167, 100, 65854, 81742, 14558, 5232, 508, 113127, 198, 52118, 80019, 106045, 32977, 43240, 47884, 102404, 21990, 103792, 198, 9458, 101275, 116486, 105184, 23187, 15682, 23538, 106968, 108176, 103296, 115442, 30369, 125396, 57903, 198, 52118, 110502, 230, 14558, 16144, 102404, 21990, 118430, 27479, 5486, 117232, 29295, 106649, 16995, 55031, 198, 9458, 39850, 127058, 9039, 15682, 98406, 115079, 198, 52118, 116474, 30369, 105908, 31958, 105184, 115717, 39850, 127058, 16144, 119890, 43167, 5486, 115079, 102351, 29295, 111629, 104028, 101200, 110276, 198, 9458, 36518, 9009, 97518, 89046, 16144, 101128, 102, 64121, 5486, 50021, 111813, 104309, 39850, 127058, 56965, 16556, 55999, 33035, 16144, 87177, 104482, 29295, 103082, 28713, 198, 52118, 108425, 103, 113245, 55999, 33035, 16144, 103721, 233, 29295, 31431, 30512, 109832, 103468, 198, 23226, 107436, 88435, 116446, 64121, 104533, 118013, 109415, 124858, 16556, 103350, 102321, 56051, 16995, 123274, 31634, 63212, 16144, 118075, 119560, 15682, 104067, 13153, 21105, 97, 59739, 101182, 26854, 108861, 19732, 99750, 101557, 101, 102987, 16995, 31195, 9174, 51330, 38574, 106090, 113245, 17039, 28713, 26854, 30832, 105888, 30512, 16, 59739, 80195, 81742, 119607, 107188, 108861, 9174, 567, 115857, 43514, 109415, 107202, 8239, 112, 87177, 198, 110382, 77181, 5486, 118013, 109415, 103792, 16325, 16556, 32335, 32977, 107202, 8239, 112, 56051, 100909, 5486, 107202, 16995, 33014, 111186, 30512, 102181, 50834, 89046, 101832, 33541, 9174, 9458, 110226, 105576, 66953, 119930, 30512, 37689, 109375, 54926, 106609, 118013, 109415, 28713, 122416, 16144, 36518, 9009, 118482, 110904, 33014, 16556, 91774, 104533, 119869, 15682, 110226, 105576, 29295, 18655, 110615, 112973, 103350, 40474, 38641, 9174, 85707, 23538, 38574, 106090, 15682, 5486, 110577, 25359, 91482, 76428, 102750, 22398, 110792, 115856, 76622, 110794, 29295, 107693, 121711, 33541, 9174, 113702, 30512, 108618, 17663, 103846, 102052, 5486, 118482, 121057, 108526, 37823, 90962, 30512, 37689, 109375, 39926, 110226, 105576, 30512, 109205, 69978, 21105, 97, 59739, 83799, 107328, 16144, 104721, 37729, 29295, 109215, 16556, 56051, 9174, 71493, 26269, 47260, 59739, 107441, 101275, 107328, 104721, 33208, 107726, 111243, 5486, 110226, 105576, 43568, 47884, 39926, 39850, 127058, 20230, 104509, 104680, 19732, 110698, 42506, 114475, 76622, 18655, 114598, 33503, 58942, 107515, 55031, 9174, 119273, 104680, 20230, 83799, 107328, 30512, 104721, 33208, 107726, 38144, 5486, 117826, 19000, 15682, 102717, 109416, 36518, 9009, 114556, 89046, 56051, 121101, 20230, 66378, 33208, 127145, 9174, 104721, 109033, 111017, 40862, 15682, 16, 8107, 30832, 5232, 20, 4, 104699, 110706, 10110, 107202, 67016, 100472, 31195, 65459, 17, 8107, 30832, 5232, 508, 113127, 5486, 18, 8107, 30832, 5232, 1399, 113127, 5486, 19, 8107, 30832, 5232, 1954, 14062, 102677, 105933, 25197, 126989, 38641, 9174, 9458, 83812, 249, 42016, 39926, 124089, 39850, 127058, 30512, 43167, 109315, 6447, 102677, 32149, 83812, 249, 42016, 120837, 33503, 30297, 91875, 50834, 123410, 106609, 99849, 30926, 32977, 17039, 102800, 106592, 109134, 104983, 15682, 5486, 41642, 31431, 117758, 95543, 102404, 15682, 119448, 16995, 38641, 9174, 108618, 104611, 106272, 83812, 249, 42016, 39926, 47884, 110615, 17792, 5486, 121355, 62004, 100481, 47884, 116537, 102404, 21990, 54926, 107803, 32977, 57903, 33541, 9174, 77693, 72661, 101790, 99, 62004, 101860, 123334, 31431, 106307, 105784, 109215, 115991, 33541, 9174, 26854, 112371, 109134, 104865, 124563, 20230, 30512, 71289, 103950, 117408, 104865, 5486, 43167, 108638, 103306, 16144, 102831, 116388, 10110, 104023, 71289, 31431, 106956, 107707, 101067, 16995, 7705, 30512, 198, 99849, 27479, 72661, 108044, 105262, 109215, 115991, 33541, 9174, 108975, 48634, 39926, 124089, 116537, 16, 13372, 5486, 17, 13372, 32149, 121061, 107493, 108048, 30512, 101662, 38144, 100481, 47884, 90397, 246, 31431, 104195, 30813, 29295, 109215, 38641, 9174, 9458, 76739, 47260, 123141, 32943, 16556, 108526, 117243, 39926, 124089, 17792, 104088, 59739, 105784, 106609, 119869, 15682, 103350, 116486, 5486, 103350, 48634, 126758, 55031, 5486, 101275, 98220, 32943, 16556, 26854, 107188, 32149, 120007, 20230, 84389, 100604, 32149, 110241, 33121, 107515, 9174, 37026, 110665, 37026, 77062, 226, 101983, 121140, 30832, 105888, 104088, 16423, 107290, 5486, 123120, 39926, 72315, 9174, 76739, 47260, 123141, 32943, 16556, 116414, 111201, 108526, 117243, 39926, 124089, 17792, 5486, 95221, 116446, 124089, 116537, 59614, 101860, 107991, 105879, 111476, 58426, 17792, 110792, 20834, 38093, 117714, 113009, 123120, 103801, 109954, 9174, 9458, 107734, 102351, 16144, 113954, 5486, 108975, 48634, 29295, 59614, 116156, 106609, 40265, 115926, 25580, 119627, 5486, 103350, 102923, 54926, 102052, 107734, 102351, 16144, 108975, 48634, 15682, 59614, 116156, 38641, 9174, 107693, 75267, 28190, 77181, 108695, 103359, 108695, 16144, 71289, 31431, 108167, 15682, 102404, 21990, 78434, 105879, 106116, 104983, 20230, 107734, 102351, 16144, 108975, 48634, 15682, 59614, 116156, 38641, 9174, 103672, 20251, 91062, 122060, 16144, 107803, 117119, 104604, 71289, 31431, 106956, 104865, 117119, 30512, 104067, 13153, 56051, 16995, 104865, 108477, 105, 31958, 39926, 33334, 102334, 24273, 29295, 104712, 38641, 9174, 10110, 40265, 115926, 25580, 125743, 115408, 15682, 105268, 104055, 101734, 236, 111201, 39926, 79721, 31195, 123529, 23954, 567, 116474, 76947, 64121, 38144, 17620, 102518, 100909, 198, 9458, 37236, 5486, 38, 7269, 106116, 43511, 50, 395, 110792, 89046, 120988, 15682, 59614, 116156, 106609, 36518, 9009, 103378, 126194, 106116, 43511, 107059, 65299, 45923, 16144, 110792, 89046, 120988, 71289, 122401, 54926, 75267, 28190, 32977, 43240, 9039, 102404, 21990, 78434, 9174, 36518, 9009, 103378, 77181, 103350, 102321, 106084, 100604, 106592, 37236, 71289, 38, 7269, 5486, 79207, 16556, 103350, 102923, 54926, 111476, 44616, 33527, 10110, 110298, 5232, 2620, 2933, 44616, 5486, 36, 37494, 33527, 7705, 19732, 38, 7269, 110792, 89046, 120988, 111476, 36518, 9009, 19732, 23892, 30512, 89046, 120988, 124545, 16449, 16449, 104309, 104309, 9174, 36518, 9009, 30512, 72718, 28542, 114267, 111681, 104482, 50338, 104662, 104856, 104533, 115847, 33503, 114363, 103722, 121606, 15682, 118482, 121606, 33014, 44416, 30512, 126419, 220, 125845, 198, 60358, 47884, 20230, 86867, 56051, 24273, 29295, 126521, 106046, 61689, 9174, 9458, 101275, 107328, 30512, 104662, 109315, 105908, 107693, 106609, 80805, 84477, 118567, 102083, 114598, 39135, 104680, 26854, 80805, 84477, 118567, 101275, 107328, 115991, 33541, 1811, 101182, 113314, 104987, 109315, 47095, 101911, 30512, 104662, 109315, 9174, 80805, 26269, 102663, 78767, 26854, 104865, 5486, 31634, 102351, 122521, 26854, 104865, 5486, 116700, 105755, 106839, 17701, 122521, 26854, 104865, 5486, 122401, 105755, 16144, 106839, 17701, 122521, 26854, 104865, 111476, 102741, 37823, 72369, 38248, 115, 78205, 16073, 71289, 101275, 98220, 66378, 33208, 26854, 104865, 108048, 108422, 33121, 104195, 64121, 107407, 106046, 61689, 105879, 5486, 116414, 55031, 17701, 76947, 198, 104195, 64121, 117408, 104865, 111800, 118219, 39926, 72315, 9174, 9458, 80805, 84477, 118567, 56965, 16144, 91739, 241, 40526, 5486, 28190, 109375, 16144, 47260, 102750, 122131, 15682, 107693, 106609, 80805, 84477, 118567, 56965, 16556, 108975, 101275, 56051, 31431, 5486, 80805, 26269, 102663, 78767, 30512, 107740, 56051, 31431, 54926, 105908, 127181, 105879, 5486, 76739, 47260, 123141, 32943, 113245, 17792, 101171, 230, 29295, 198, 108008, 20230, 107693, 16556, 109215, 118816, 112391, 79721, 1811, 102208, 25197, 102832, 52414, 20230, 110284, 39926, 53283, 31431, 40862, 16995, 30512, 115079, 71289, 109768, 50834, 17129, 109954, 9174, 101128, 102, 64121, 50021, 111813, 104309, 112361, 30832, 101911, 16556, 106084, 30369, 105879, 55999, 99750, 120837, 33503, 105262, 15024, 5486, 9554, 105184, 26854, 39880, 45923, 66953, 112900, 32977, 105693, 31431, 78434, 9174, 120456, 33710, 78459, 107059, 65299, 45923, 29295, 107693, 106609, 20713, 118821, 102741, 37823, 72369, 38248, 115, 78205, 16073, 103378, 126194, 5486, 109242, 9039, 102741, 37823, 72369, 38248, 115, 78205, 113883, 103214, 64121, 114146, 29295, 107693, 104856, 76947, 50834, 127280, 9174, 16995, 78183, 106644, 30369, 68759, 33710, 78459, 107059, 65299, 45923, 113245, 106839, 17701, 122521, 38641, 9174, 37271, 77181, 40265, 115926, 25580, 119012, 50, 3711, 10110, 36518, 15161, 7705, 121409, 4940, 10110, 68662, 64105, 53278, 8785, 60463, 65459, 198, 8768, 10110, 44616, 33527, 7705, 55031, 4940, 43444, 18729, 64105, 53278, 8785, 60463, 259, 7705, 220, 111363, 106548, 115856, 76622, 111476, 36518, 9009, 121409, 7594, 474, 110792, 89046, 120988, 104309, 5486, 14167, 100, 65854, 16144, 111681, 104482, 50338, 104662, 41007, 30512, 103350, 102321, 54926, 113009, 109242, 9039, 16144, 102741, 37823, 72369, 38248, 115, 78205, 16073, 106391, 13153, 30512, 198, 103350, 102321, 54926, 105908, 107693, 115717, 33541, 9174, 53900, 5486, 36518, 9009, 32943, 102741, 37823, 72369, 38248, 115, 78205, 16073, 103378, 126194, 5486, 37236, 5486, 38, 7269, 71289, 110577, 25359, 53379, 300, 30512, 103214, 64121, 114146, 106084, 104984, 198, 104364, 103283, 33208, 5486, 95001, 112603, 30512, 126014, 32018, 125545, 9174, 567, 220, 85701, 55031, 27113, 30512, 20713, 20230, 56051, 16995, 114435, 103826, 20230, 108044, 58942, 106956, 100909, 198, 107202, 8239, 112, 87177, 15682, 103283, 20230, 104712, 55031, 5486, 118789, 112535, 99849, 55031, 27704, 62004, 104984, 103424, 117714, 11571, 102677, 112973, 103350, 40474, 107188, 106046, 61689, 9174, 85701, 109853, 15682, 5486, 108115, 16144, 119375, 113692, 119775, 100990, 118, 114758, 26854, 71289 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 112113, 39276, 77219, 126194, 5486, 36518, 9009, 16144, 106839, 17701, 122521, 118482, 30512, 118013, 109415, 28713, 104983, 16144, 198, 107202, 8239, 112, 87177, 5486, 91482, 76428, 102750, 22398, 118013, 109415, 25580, 123470, 127749, 104721, 33208, 123334, 76947, 64121, 38144, 17620, 102518, 100909, 104309, 30512, 123011, 109013, 77219, 38641, 9174, 85701, 55031, 36518, 9009, 97518, 89046, 118482, 16144, 118013, 109415, 30512, 111800, 118219, 110731, 114435, 103826, 121254, 107674, 77219, 121711, 33541, 9174, 126738, 5486, 77219, 16144, 61304, 107121, 103792, 86127, 116907, 16144, 40265, 125344, 80195, 75267, 15682, 13177, 19732, 101182, 118953, 107610, 101544, 10646, 113314, 16556, 5486, 66378, 20230, 118482, 113115, 39926, 198, 114640, 122074, 112607, 126758, 5486, 48154, 47884, 48154, 47884, 110219, 16144, 68759, 102750, 78767, 68581, 11972, 80195, 75267, 113245, 118013, 109415, 87177, 121711, 33541, 9174, 567, 115857, 43514, 109415, 28713, 124858, 198, 66378, 20230, 108695, 55031, 20251, 103830, 99959, 115691, 16556, 36518, 9009, 118482, 30512, 118013, 109415, 57980, 102677, 64467, 20379, 122291, 117735, 126194, 198, 40265, 39177, 5486, 126913, 54926, 124180, 16556, 88852, 16144, 111681, 104482, 115991, 50338, 33420, 56051, 47884, 108048, 30512, 103350, 102321, 106084, 30369, 112973, 198, 36518, 9009, 103351, 102677, 124858, 115991, 33541, 59459, 126521, 115552, 16556, 13870, 232, 61337, 15682, 58426, 115195, 111331, 114940, 33857, 29295, 111764, 38641, 49838, 23954, 123274, 31634, 63212, 198, 118075, 39850, 127058, 20230, 52591, 33710, 37823, 102494, 84477, 72661, 19967, 101275, 108608, 118482, 75146, 114457, 30512, 104908, 56051, 102518, 9174, 106759, 16144, 75910, 106528, 71289, 127032, 16144, 101662, 116581, 16144, 107803, 5486, 14167, 100, 65854, 40053, 126202, 71289, 109311, 109972, 81742, 14558, 118816, 117501, 29295, 111108, 102800, 112973, 103350, 40474, 16556, 56051, 9174, 103350, 104983, 20230, 77693, 29295, 114667, 16556, 56906, 107430, 54926, 30926, 27452, 32977, 57903, 5486, 50338, 33420, 56051, 102518, 9174, 119560, 37026, 61337, 19967, 101275, 119653, 59739, 109332, 127058, 29295, 55999, 33035, 16144, 87177, 104482, 16556, 122401, 108608, 118482, 75146, 114457, 126694, 31431, 28713, 102518, 9174, 14137, 261, 101182, 101182, 119627, 5486, 65854, 61826, 40053, 126202, 32977, 43240, 47884, 5486, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 29295, 108167, 115200, 16995, 111681, 104482, 115991, 79721, 9174, 110924, 32977, 50338, 33420, 56051, 102518, 9174, 48915, 34048, 31634, 63212, 198, 126892, 107740, 108608, 102741, 37823, 72369, 38248, 115, 78205, 16073, 30512, 8239, 114503, 112535, 33655, 30297, 113146, 117084, 105898, 9174, 49412, 96, 110904, 116254, 20230, 76739, 47260, 123141, 29295, 101523, 227, 126235, 103351, 9174, 567, 85997, 85707, 16144, 91482, 76428, 102750, 22398, 107963, 109369, 19732, 112599, 16144, 91482, 76428, 102750, 22398, 107963, 109369, 109853, 198, 126843, 15682, 5486, 105242, 105755, 110322, 26955, 254, 9174, 118013, 109415, 25580, 74482, 16556, 67645, 119775, 91482, 76428, 102750, 22398, 127749, 29295, 124500, 100472, 104865, 104865, 15682, 5486, 17297, 30512, 126229, 72315, 9174, 126738, 5486, 13870, 232, 61337, 15682, 679, 24, 8107, 55031, 119273, 104680, 20230, 36518, 9009, 118482, 16144, 118013, 109415, 117824, 16995, 5486, 112599, 19, 8107, 118322, 127749, 38641, 9174, 64780, 35469, 115, 33014, 109904, 35330, 109518, 71289, 14558, 9039, 15682, 103851, 58942, 107726, 100481, 90620, 50834, 33541, 29295, 5486, 112599, 77181, 118013, 109415, 123628, 198, 91482, 76428, 102750, 22398, 106045, 54872, 71689, 16144, 22398, 102663, 64178, 30512, 20834, 72342, 127280, 9174, 827, 115857, 43514, 109415, 123628, 91482, 76428, 102750, 22398, 107963, 109369, 198, 9458, 14167, 100, 65854, 61826, 40053, 126202, 5232, 1490, 4, 5486, 37026, 61337, 110794, 112454, 31431, 5232, 508, 113127, 198, 9458, 102717, 109416, 110577, 25359, 18655, 73686, 117758, 120321, 106307, 81742, 14558, 198, 9458, 101275, 116486, 15682, 23538, 29295, 27704, 115464, 38574, 106090, 16556, 102717, 109416, 105184, 23187, 10110, 110577, 25359, 14167, 100, 65854, 16144, 18655, 73686, 16556, 33334, 33334, 57980, 58426, 102404, 26130, 33857, 29295, 91774, 105262, 105879, 23954, 9458, 112361, 121606, 32943, 125743, 5486, 14167, 100, 65854, 121101, 71289, 108167, 121247, 30297, 112113, 32977, 121953, 5486, 39850, 127058, 56965, 16556, 55999, 33035, 16144, 87177, 104482, 29295, 83747, 100604, 198, 827, 115857, 43514, 109415, 123470, 91482, 76428, 102750, 22398, 107963, 109369, 198, 9458, 14167, 100, 65854, 61826, 40053, 126202, 5232, 605, 4, 5486, 37026, 61337, 110794, 112454, 31431, 5232, 1954, 113127, 198, 52118, 220, 102717, 109416, 111017, 40862, 29295, 116900, 108436, 198, 9458, 101275, 116486, 15682, 36518, 9009, 106839, 17701, 122521, 16325, 16144, 14167, 100, 65854, 117758, 120321, 106307, 81742, 14558, 5232, 1490, 4, 5486, 17039, 106045, 14167, 100, 65854, 81742, 14558, 5232, 508, 113127, 198, 52118, 80019, 106045, 32977, 43240, 47884, 102404, 21990, 103792, 198, 9458, 101275, 116486, 105184, 23187, 15682, 23538, 106968, 108176, 103296, 115442, 30369, 125396, 57903, 198, 52118, 110502, 230, 14558, 16144, 102404, 21990, 118430, 27479, 5486, 117232, 29295, 106649, 16995, 55031, 198, 9458, 39850, 127058, 9039, 15682, 98406, 115079, 198, 52118, 116474, 30369, 105908, 31958, 105184, 115717, 39850, 127058, 16144, 119890, 43167, 5486, 115079, 102351, 29295, 111629, 104028, 101200, 110276, 198, 9458, 36518, 9009, 97518, 89046, 16144, 101128, 102, 64121, 5486, 50021, 111813, 104309, 39850, 127058, 56965, 16556, 55999, 33035, 16144, 87177, 104482, 29295, 103082, 28713, 198, 52118, 108425, 103, 113245, 55999, 33035, 16144, 103721, 233, 29295, 31431, 30512, 109832, 103468, 198, 23226, 107436, 88435, 116446, 64121, 104533, 118013, 109415, 124858, 16556, 103350, 102321, 56051, 16995, 123274, 31634, 63212, 16144, 118075, 119560, 15682, 104067, 13153, 21105, 97, 59739, 101182, 26854, 108861, 19732, 99750, 101557, 101, 102987, 16995, 31195, 9174, 51330, 38574, 106090, 113245, 17039, 28713, 26854, 30832, 105888, 30512, 16, 59739, 80195, 81742, 119607, 107188, 108861, 9174, 567, 115857, 43514, 109415, 107202, 8239, 112, 87177, 198, 110382, 77181, 5486, 118013, 109415, 103792, 16325, 16556, 32335, 32977, 107202, 8239, 112, 56051, 100909, 5486, 107202, 16995, 33014, 111186, 30512, 102181, 50834, 89046, 101832, 33541, 9174, 9458, 110226, 105576, 66953, 119930, 30512, 37689, 109375, 54926, 106609, 118013, 109415, 28713, 122416, 16144, 36518, 9009, 118482, 110904, 33014, 16556, 91774, 104533, 119869, 15682, 110226, 105576, 29295, 18655, 110615, 112973, 103350, 40474, 38641, 9174, 85707, 23538, 38574, 106090, 15682, 5486, 110577, 25359, 91482, 76428, 102750, 22398, 110792, 115856, 76622, 110794, 29295, 107693, 121711, 33541, 9174, 113702, 30512, 108618, 17663, 103846, 102052, 5486, 118482, 121057, 108526, 37823, 90962, 30512, 37689, 109375, 39926, 110226, 105576, 30512, 109205, 69978, 21105, 97, 59739, 83799, 107328, 16144, 104721, 37729, 29295, 109215, 16556, 56051, 9174, 71493, 26269, 47260, 59739, 107441, 101275, 107328, 104721, 33208, 107726, 111243, 5486, 110226, 105576, 43568, 47884, 39926, 39850, 127058, 20230, 104509, 104680, 19732, 110698, 42506, 114475, 76622, 18655, 114598, 33503, 58942, 107515, 55031, 9174, 119273, 104680, 20230, 83799, 107328, 30512, 104721, 33208, 107726, 38144, 5486, 117826, 19000, 15682, 102717, 109416, 36518, 9009, 114556, 89046, 56051, 121101, 20230, 66378, 33208, 127145, 9174, 104721, 109033, 111017, 40862, 15682, 16, 8107, 30832, 5232, 20, 4, 104699, 110706, 10110, 107202, 67016, 100472, 31195, 65459, 17, 8107, 30832, 5232, 508, 113127, 5486, 18, 8107, 30832, 5232, 1399, 113127, 5486, 19, 8107, 30832, 5232, 1954, 14062, 102677, 105933, 25197, 126989, 38641, 9174, 9458, 83812, 249, 42016, 39926, 124089, 39850, 127058, 30512, 43167, 109315, 6447, 102677, 32149, 83812, 249, 42016, 120837, 33503, 30297, 91875, 50834, 123410, 106609, 99849, 30926, 32977, 17039, 102800, 106592, 109134, 104983, 15682, 5486, 41642, 31431, 117758, 95543, 102404, 15682, 119448, 16995, 38641, 9174, 108618, 104611, 106272, 83812, 249, 42016, 39926, 47884, 110615, 17792, 5486, 121355, 62004, 100481, 47884, 116537, 102404, 21990, 54926, 107803, 32977, 57903, 33541, 9174, 77693, 72661, 101790, 99, 62004, 101860, 123334, 31431, 106307, 105784, 109215, 115991, 33541, 9174, 26854, 112371, 109134, 104865, 124563, 20230, 30512, 71289, 103950, 117408, 104865, 5486, 43167, 108638, 103306, 16144, 102831, 116388, 10110, 104023, 71289, 31431, 106956, 107707, 101067, 16995, 7705, 30512, 198, 99849, 27479, 72661, 108044, 105262, 109215, 115991, 33541, 9174, 108975, 48634, 39926, 124089, 116537, 16, 13372, 5486, 17, 13372, 32149, 121061, 107493, 108048, 30512, 101662, 38144, 100481, 47884, 90397, 246, 31431, 104195, 30813, 29295, 109215, 38641, 9174, 9458, 76739, 47260, 123141, 32943, 16556, 108526, 117243, 39926, 124089, 17792, 104088, 59739, 105784, 106609, 119869, 15682, 103350, 116486, 5486, 103350, 48634, 126758, 55031, 5486, 101275, 98220, 32943, 16556, 26854, 107188, 32149, 120007, 20230, 84389, 100604, 32149, 110241, 33121, 107515, 9174, 37026, 110665, 37026, 77062, 226, 101983, 121140, 30832, 105888, 104088, 16423, 107290, 5486, 123120, 39926, 72315, 9174, 76739, 47260, 123141, 32943, 16556, 116414, 111201, 108526, 117243, 39926, 124089, 17792, 5486, 95221, 116446, 124089, 116537, 59614, 101860, 107991, 105879, 111476, 58426, 17792, 110792, 20834, 38093, 117714, 113009, 123120, 103801, 109954, 9174, 9458, 107734, 102351, 16144, 113954, 5486, 108975, 48634, 29295, 59614, 116156, 106609, 40265, 115926, 25580, 119627, 5486, 103350, 102923, 54926, 102052, 107734, 102351, 16144, 108975, 48634, 15682, 59614, 116156, 38641, 9174, 107693, 75267, 28190, 77181, 108695, 103359, 108695, 16144, 71289, 31431, 108167, 15682, 102404, 21990, 78434, 105879, 106116, 104983, 20230, 107734, 102351, 16144, 108975, 48634, 15682, 59614, 116156, 38641, 9174, 103672, 20251, 91062, 122060, 16144, 107803, 117119, 104604, 71289, 31431, 106956, 104865, 117119, 30512, 104067, 13153, 56051, 16995, 104865, 108477, 105, 31958, 39926, 33334, 102334, 24273, 29295, 104712, 38641, 9174, 10110, 40265, 115926, 25580, 125743, 115408, 15682, 105268, 104055, 101734, 236, 111201, 39926, 79721, 31195, 123529, 23954, 567, 116474, 76947, 64121, 38144, 17620, 102518, 100909, 198, 9458, 37236, 5486, 38, 7269, 106116, 43511, 50, 395, 110792, 89046, 120988, 15682, 59614, 116156, 106609, 36518, 9009, 103378, 126194, 106116, 43511, 107059, 65299, 45923, 16144, 110792, 89046, 120988, 71289, 122401, 54926, 75267, 28190, 32977, 43240, 9039, 102404, 21990, 78434, 9174, 36518, 9009, 103378, 77181, 103350, 102321, 106084, 100604, 106592, 37236, 71289, 38, 7269, 5486, 79207, 16556, 103350, 102923, 54926, 111476, 44616, 33527, 10110, 110298, 5232, 2620, 2933, 44616, 5486, 36, 37494, 33527, 7705, 19732, 38, 7269, 110792, 89046, 120988, 111476, 36518, 9009, 19732, 23892, 30512, 89046, 120988, 124545, 16449, 16449, 104309, 104309, 9174, 36518, 9009, 30512, 72718, 28542, 114267, 111681, 104482, 50338, 104662, 104856, 104533, 115847, 33503, 114363, 103722, 121606, 15682, 118482, 121606, 33014, 44416, 30512, 126419, 220, 125845, 198, 60358, 47884, 20230, 86867, 56051, 24273, 29295, 126521, 106046, 61689, 9174, 9458, 101275, 107328, 30512, 104662, 109315, 105908, 107693, 106609, 80805, 84477, 118567, 102083, 114598, 39135, 104680, 26854, 80805, 84477, 118567, 101275, 107328, 115991, 33541, 1811, 101182, 113314, 104987, 109315, 47095, 101911, 30512, 104662, 109315, 9174, 80805, 26269, 102663, 78767, 26854, 104865, 5486, 31634, 102351, 122521, 26854, 104865, 5486, 116700, 105755, 106839, 17701, 122521, 26854, 104865, 5486, 122401, 105755, 16144, 106839, 17701, 122521, 26854, 104865, 111476, 102741, 37823, 72369, 38248, 115, 78205, 16073, 71289, 101275, 98220, 66378, 33208, 26854, 104865, 108048, 108422, 33121, 104195, 64121, 107407, 106046, 61689, 105879, 5486, 116414, 55031, 17701, 76947, 198, 104195, 64121, 117408, 104865, 111800, 118219, 39926, 72315, 9174, 9458, 80805, 84477, 118567, 56965, 16144, 91739, 241, 40526, 5486, 28190, 109375, 16144, 47260, 102750, 122131, 15682, 107693, 106609, 80805, 84477, 118567, 56965, 16556, 108975, 101275, 56051, 31431, 5486, 80805, 26269, 102663, 78767, 30512, 107740, 56051, 31431, 54926, 105908, 127181, 105879, 5486, 76739, 47260, 123141, 32943, 113245, 17792, 101171, 230, 29295, 198, 108008, 20230, 107693, 16556, 109215, 118816, 112391, 79721, 1811, 102208, 25197, 102832, 52414, 20230, 110284, 39926, 53283, 31431, 40862, 16995, 30512, 115079, 71289, 109768, 50834, 17129, 109954, 9174, 101128, 102, 64121, 50021, 111813, 104309, 112361, 30832, 101911, 16556, 106084, 30369, 105879, 55999, 99750, 120837, 33503, 105262, 15024, 5486, 9554, 105184, 26854, 39880, 45923, 66953, 112900, 32977, 105693, 31431, 78434, 9174, 120456, 33710, 78459, 107059, 65299, 45923, 29295, 107693, 106609, 20713, 118821, 102741, 37823, 72369, 38248, 115, 78205, 16073, 103378, 126194, 5486, 109242, 9039, 102741, 37823, 72369, 38248, 115, 78205, 113883, 103214, 64121, 114146, 29295, 107693, 104856, 76947, 50834, 127280, 9174, 16995, 78183, 106644, 30369, 68759, 33710, 78459, 107059, 65299, 45923, 113245, 106839, 17701, 122521, 38641, 9174, 37271, 77181, 40265, 115926, 25580, 119012, 50, 3711, 10110, 36518, 15161, 7705, 121409, 4940, 10110, 68662, 64105, 53278, 8785, 60463, 65459, 198, 8768, 10110, 44616, 33527, 7705, 55031, 4940, 43444, 18729, 64105, 53278, 8785, 60463, 259, 7705, 220, 111363, 106548, 115856, 76622, 111476, 36518, 9009, 121409, 7594, 474, 110792, 89046, 120988, 104309, 5486, 14167, 100, 65854, 16144, 111681, 104482, 50338, 104662, 41007, 30512, 103350, 102321, 54926, 113009, 109242, 9039, 16144, 102741, 37823, 72369, 38248, 115, 78205, 16073, 106391, 13153, 30512, 198, 103350, 102321, 54926, 105908, 107693, 115717, 33541, 9174, 53900, 5486, 36518, 9009, 32943, 102741, 37823, 72369, 38248, 115, 78205, 16073, 103378, 126194, 5486, 37236, 5486, 38, 7269, 71289, 110577, 25359, 53379, 300, 30512, 103214, 64121, 114146, 106084, 104984, 198, 104364, 103283, 33208, 5486, 95001, 112603, 30512, 126014, 32018, 125545, 9174, 567, 220, 85701, 55031, 27113, 30512, 20713, 20230, 56051, 16995, 114435, 103826, 20230, 108044, 58942, 106956, 100909, 198, 107202, 8239, 112, 87177, 15682, 103283, 20230, 104712, 55031, 5486, 118789, 112535, 99849, 55031, 27704, 62004, 104984, 103424, 117714, 11571, 102677, 112973, 103350, 40474, 107188, 106046, 61689, 9174, 85701, 109853, 15682, 5486, 108115, 16144, 119375, 113692, 119775, 100990, 118, 114758, 26854, 71289 ]
[ 31431, 24273, 29295, 30591, 104984, 103424, 117714, 119627, 115408, 16144, 126513, 198, 88852, 16144, 106592, 103721, 108, 31431, 104196, 15024, 5486, 31374, 248, 74245, 20230, 71289, 31431, 106307, 107674, 112973, 103350, 40474, 38641, 31195, 9174, 110480, 30512, 104862, 76947, 122984, 78434, 9174, 9458, 37026, 61337, 16556, 102803, 64810, 107446, 30512, 107691, 76947, 33655, 76947, 64121, 30369, 106609, 36518, 9009, 30512, 106839, 17701, 54926, 108152, 38248, 114, 114435, 103826, 16144, 120208, 71289, 110482, 30369, 120098, 5486, 76706, 11883, 56051, 50338, 104662, 41007, 30512, 113954, 54926, 103846, 38641, 9174, 115507, 64810, 64178, 22398, 71289, 31634, 14558, 23187, 104577, 16556, 14167, 100, 65854, 55031, 101128, 102, 64121, 5486, 50021, 111813, 114475, 105784, 30926, 29295, 43240, 47884, 57903, 33541, 29295, 111476, 58426, 101128, 102, 64121, 29295, 113954, 118765, 16144, 77181, 115552, 115991, 107515, 118855, 5486, 113954, 120837, 50338, 104662, 41007, 29295, 17620, 124403, 107173, 198, 13870, 232, 61337, 72661, 47260, 39880, 102803, 64810, 107446, 103378, 126194, 5486, 7594, 474, 71289, 2620, 2933, 32977, 109198, 17701, 39926, 76706, 11883, 39926, 5486, 108152, 38248, 114, 114435, 103826, 19732, 198, 25197, 126989, 55999, 19361, 29295, 108608, 101200, 115619, 107436, 61689, 9174, 116806, 70563, 64178, 33122, 103234, 30512, 20713, 59739, 72661, 15017, 119, 20834, 54926, 9174, 103087, 35083, 5486, 50928, 37689, 117408, 101275, 107328, 71289, 101275, 104091, 5486, 114435, 106581, 104309, 36518, 9009, 106839, 17701, 122521, 16556, 86127, 104067, 29295, 104195, 64121, 117282, 105494, 30512, 15017, 119, 20834, 39926, 198, 119869, 16144, 122148, 102472, 11972, 117282, 123655, 126694, 31431, 17129, 109954, 9174, 122571, 5486, 13870, 232, 61337, 29295, 16325, 31809, 114435, 20230, 82912, 78434, 105879, 13177, 36518, 9009, 30512, 106839, 17701, 54926, 104983, 107809, 31809, 114435, 16144, 101128, 102, 64121, 5486, 103435, 116, 104611, 28542, 15682, 198, 113954, 39926, 106839, 17701, 122521, 125545, 76864, 10110, 37271, 104856, 76947, 15682, 105037, 236, 62903, 25005, 107, 65575, 21060, 49838, 7705, 102677, 112973, 123655, 16556, 56051, 9174, 51330, 113314, 16144, 123655, 72661, 126521, 105879, 5486, 15017, 119, 20834, 103801, 109954, 9174, 90620, 5486, 103350, 104983, 20230, 36518, 9009, 30512, 109835, 76947, 64121, 38144, 116700, 39926, 64121, 38144, 13177, 106839, 17701, 54926, 80195, 75267, 105110, 108895, 91763, 30297, 57980, 26854, 31195, 10646, 111476, 13177, 108895, 126693, 50338, 104662, 106084, 102131, 31195, 10646, 110162, 101067, 66201, 21105, 103, 29295, 33503, 125338, 108086, 79721, 105879, 5486, 103001, 246, 111769, 38641, 9174, 9458, 99849, 72661, 104712, 55031, 119869, 16144, 81742, 14558, 16144, 30177, 28542, 126694, 30369, 9174, 116213, 16995, 17792, 101171, 230, 72661, 16205, 123, 30369, 5486, 126843, 15682, 109933, 107446, 30512, 46034, 103721, 108, 31431, 108385, 122101, 39880, 122131, 29295, 107693, 38641, 9174, 37046, 104680, 55031, 112990, 117864, 119064, 39442, 106613, 111186, 5486, 103350, 116486, 26854, 21105, 103, 105879, 120953, 125338, 109933, 107446, 16144, 50928, 30369, 104865, 11571, 19732, 198, 107750, 99397, 20230, 91763, 30297, 32149, 110241, 33121, 107515, 29295, 5486, 119147, 26274, 255, 47884, 53283, 31431, 40862, 100472, 13983, 43444, 7516, 18362, 104023, 48915, 114731, 112167, 101275, 7705, 220, 98369, 30512, 198, 38093, 30297, 103846, 125894, 76622, 101860, 31431, 18904, 76947, 5486, 15017, 119, 118158, 39880, 70563, 64178, 33122, 103234, 16556, 39880, 70563, 64178, 39926, 5486, 109933, 107446, 30512, 50928, 30369, 67016, 100604, 38641, 9174, 9458, 115507, 64810, 64178, 22398, 55031, 17701, 76947, 48864, 104369, 106592, 90962, 22398, 22398, 39850, 106609, 14167, 100, 65854, 16144, 111681, 104482, 107461, 39880, 122835, 55031, 111681, 104482, 113115, 54926, 102741, 37823, 72369, 38248, 115, 78205, 16073, 29172, 81742, 5486, 102803, 64810, 107446, 101682, 26130, 103296, 16144, 89753, 33121, 16556, 198, 106839, 17701, 122521, 80805, 84477, 118567, 55031, 91774, 38144, 115507, 64810, 64178, 22398, 102677, 38574, 106090, 115991, 33541, 9174, 112167, 101275, 47260, 71634, 108176, 105879, 115389, 29295, 110071, 105494, 32977, 113954, 125545, 29295, 110371, 111661, 106240, 15682, 119869, 120332, 15682, 198, 108882, 110993, 112535, 110284, 56051, 24273, 29295, 104712, 38641, 59459, 30591, 47884, 103296, 127880, 113727, 38641, 23954, 113702, 29295, 111654, 102800, 102677, 104468, 17620, 107277, 33541, 29295, 5486, 106649, 23538, 109904, 110226, 105576, 126036, 106613, 111186, 30512, 108882, 104004, 24273, 29295, 124042, 109904, 113702, 20230, 103721, 233, 29295, 30369, 198, 102677, 112973, 114667, 38641, 9174, 115507, 64810, 64178, 22398, 55031, 17701, 76947, 48864, 104369, 118733, 5486, 14167, 100, 65854, 29295, 32018, 62004, 100934, 100909, 10110, 111681, 104482, 16144, 113954, 65459, 198, 111681, 104482, 30512, 50338, 104662, 54926, 102741, 37823, 72369, 38248, 115, 78205, 113883, 76706, 11883, 71289, 29172, 81742, 41007, 5486, 37026, 33503, 68408, 102494, 126694, 31431, 58426, 102741, 37823, 72369, 38248, 115, 78205, 113883, 116700, 41007, 111476, 13983, 115867, 81742, 14558, 110305, 106240, 103296, 16144, 89753, 33121, 30512, 48864, 104369, 5486, 115924, 53901, 16144, 101513, 38093, 115717, 33541, 9174, 9458, 119869, 16144, 81742, 14558, 15682, 1041, 4, 71689, 16144, 33014, 44416, 30512, 106391, 113638, 54926, 106609, 119869, 16144, 81742, 14558, 15682, 5486, 32335, 32977, 37026, 61337, 32943, 16556, 19653, 108608, 33014, 44416, 30512, 106391, 113638, 103801, 109954, 9174, 22649, 101067, 15682, 5486, 91482, 76428, 102750, 22398, 30512, 76622, 25827, 73686, 54926, 17792, 30512, 104356, 20230, 106391, 113638, 56051, 24273, 29295, 104712, 38641, 9174, 114667, 15682, 5486, 126843, 15682, 37026, 61337, 30512, 14167, 100, 65854, 71289, 13983, 98369, 55031, 121819, 105987, 112535, 107624, 95001, 120837, 33503, 30297, 105908, 107693, 38641, 9174, 22023, 117943, 5486, 107624, 106053, 15682, 33671, 111363, 125494, 5486, 71174, 115856, 76622, 20230, 103721, 233, 29295, 31431, 33541, 9174, 58426, 113009, 5486, 32018, 62004, 110071, 100909, 103378, 30512, 103350, 102321, 54926, 16144, 126194, 5486, 104873, 115694, 64121, 38144, 103424, 30813, 120550, 105908, 30591, 104984, 198, 57326, 112718, 107908, 104774, 16556, 29172, 81742, 5486, 103350, 102321, 103801, 109954, 118844, 15682, 40265, 115926, 25580, 25446, 105284, 30512, 101523, 227, 126235, 25446, 105284, 20230, 113801, 109415, 33541, 9174, 9458, 42016, 103826, 16144, 91875, 19967, 30512, 17, 59739, 30832, 5486, 18, 59739, 30832, 19732, 103721, 233, 102639, 30369, 9174, 58426, 74482, 5486, 22023, 117943, 30512, 75146, 114457, 20230, 14167, 100, 65854, 55031, 17039, 28713, 26854, 50021, 111813, 114475, 107674, 31431, 5486, 13983, 98369, 55031, 50021, 111813, 29295, 37507, 30369, 101200, 115717, 33541, 9174, 31809, 30813, 26854, 18904, 108436, 29295, 119273, 104680, 20230, 27384, 112495, 18904, 108436, 117084, 50834, 33541, 9174, 27384, 30926, 26854, 104468, 14167, 100, 65854, 71289, 13983, 98369, 117758, 22023, 117943, 38641, 1811, 110382, 15682, 15120, 87217, 20230, 37689, 109375, 39926, 123120, 103801, 109954, 9174, 53900, 5486, 13983, 98369, 117758, 50021, 111813, 15682, 92776, 117271, 112990, 107624, 95001, 29295, 115442, 31431, 33541, 6447, 10110, 112008, 102800, 55031, 23954, 567, 109332, 127058, 117758, 21990, 16144, 71174, 198, 103350, 104983, 20230, 102208, 39850, 127058, 55031, 118013, 109415, 25580, 123470, 103826, 50021, 109853, 5486, 37689, 91774, 30512, 110226, 43167, 39926, 19012, 110, 107121, 78434, 9174, 30591, 107290, 15571, 120098, 5486, 17519, 120098, 104836, 24273, 30512, 61304, 107121, 127145, 9174, 17297, 25963, 118821, 17519, 120098, 114556, 39926, 15682, 5486, 101067, 23187, 84389, 30297, 30369, 111681, 104482, 116787, 68759, 102750, 76428, 73590, 110366, 72661, 111800, 118219, 17663, 125231, 31634, 72238, 115991, 198, 121846, 108176, 32149, 106046, 61689, 106609, 9458, 106111, 25580, 15682, 33655, 103836, 112113, 29295, 66953, 32131, 66953, 32131, 103351, 29295, 5486, 36518, 9009, 102677, 16, 118821, 62903, 25005, 107, 65575, 114792, 38144, 28713, 9174, 112361, 121606, 32943, 72661, 108901, 109020, 14167, 100, 65854, 5486, 112113, 30512, 109134, 30926, 29295, 43240, 47884, 5486, 55999, 33035, 16144, 87177, 104482, 29295, 43568, 16995, 121894, 115287, 29295, 111476, 118013, 109415, 74482, 77181, 36518, 9009, 16144, 112113, 102750, 47307, 16556, 103721, 233, 29295, 30369, 30926, 29295, 43240, 115737, 100472, 9174, 9458, 122928, 103991, 109904, 105284, 99397, 71289, 104873, 112984, 30512, 15024, 126172, 16995, 104466, 112391, 30369, 9174, 47260, 119263, 78683, 103906, 5486, 60868, 121057, 5486, 107740, 112919, 52884, 77750, 9458, 116229, 50667, 16556, 16937, 31958, 28542, 30512, 104873, 112984, 9458, 105284, 99397, 108608, 100909, 55031, 111476, 126843, 15682, 102803, 64810, 107446, 30512, 109198, 17701, 15024, 38129, 39926, 64121, 30369, 105908, 107693, 9174, 9458, 110577, 25359, 81742, 14558, 30512, 71289, 31431, 106272, 5486, 36518, 9009, 22398, 62903, 33710, 30512, 45736, 109315, 117232, 15682, 102494, 78459, 102832, 38248, 115, 78205, 16073, 30512, 45736, 109315, 112973, 111108, 67016, 100472, 9174, 9458, 66378, 20230, 40053, 126202, 39850, 127058, 30512, 104356, 20230, 5486, 39850, 127058, 56965, 16556, 36518, 9009, 95371, 71289, 103836, 39850, 127058, 19732, 77693, 116749, 16144, 39850, 127058, 16556, 198, 126287, 104364, 30512, 112391, 28713, 9174, 567, 220, 65316, 48154, 20230, 198, 17039, 106624, 27704, 109315, 102052, 117119, 30926, 32977, 40474, 107969, 71289, 53901, 103698, 64209, 29295, 32335, 32977, 107693, 125651, 9174, 14167, 100, 65854, 96412, 107436, 22398, 70563, 65575, 29295, 95399, 16995, 38641, 15024, 121453, 102800, 106081, 64121, 71289, 17039, 102800, 102741, 37823, 72369, 38248, 115, 78205, 16073, 29295, 106307, 104680, 19732, 37823, 37823, 61398, 116216, 109749, 111476, 85701, 103296, 20230, 101067, 23187, 21105, 103, 16995, 105933, 20251, 32131, 112193, 32977, 102404, 21990, 54926, 31195, 198, 85701, 113115, 117120, 54926, 102052, 5486, 40474, 107969, 71289, 53901, 103698, 64209, 123160, 45923, 62903, 45923, 62903, 29295, 109215, 38641, 9174, 77693, 30512, 114140, 54926, 113009, 5486, 47260, 119263, 78683, 103906, 20230, 110284, 39926, 64121, 30369, 5486, 25197, 102832, 52414, 20230, 110284, 39926, 64121, 30369, 111476, 47260, 42634, 96452, 54656, 235, 29295, 35894, 107674, 33503, 60868, 118804, 93488, 57207, 118283, 16144, 65454, 9009, 120650, 76947, 110770, 16144, 25132, 108, 116310, 95221, 30512, 120044, 16556, 112391, 30369, 9174, 85701, 16556, 40474, 107969, 5486, 107969, 33857, 125334, 38144, 109749, 116497, 59459, 20834, 38144, 22957, 100604, 105879, 30591, 104984, 5486, 43568, 22649, 21105, 103, 16995, 24273, 29295, 104712, 32149, 32977, 31195, 23954, 53900, 5486, 118013, 109415, 40265, 85707, 15682, 117876, 32977, 103470, 101275, 116486, 105352, 103721, 233, 29295, 121140, 115200, 102518, 119627, 10110, 37271, 72661, 27384, 104721, 125743, 65459, 198, 126920, 39850, 127058, 20230, 122393, 17129, 103468, 26854, 108861, 31195, 19732, 9174, 46456, 107290, 124089, 5486, 123120, 39926, 124089, 39850, 127058, 29295, 43240, 47884, 5486, 108975, 48634, 29295, 103470, 38144, 15682, 71289, 31431, 50834, 33121, 104435, 38641, 9174, 117271, 39926, 122396, 39850, 127058, 29295, 115515, 77181, 14167, 100, 65854, 16144, 61337, 101544, 71289, 34048, 101544, 104309, 110968, 31431, 40862, 16995, 5486, 87177, 103792, 110783, 104088, 104533, 198, 11589, 252, 106624, 26854, 100472, 26854, 108861, 19732, 115003, 231, 106624, 26854, 31431, 33541, 9174, 39850, 127058, 29295, 110904, 20230, 76739, 123581, 114676, 103378, 20230, 104650, 17129, 121140, 111476, 91482, 76428, 102750, 22398, 80805, 38248, 121, 16073, 103306, 13153, 101544, 39926, 124089, 112973, 36518, 9009, 112028, 87217, 16144, 104195, 64121, 107188, 106046, 16995, 79721, 1811, 128001, 128000, 2, 220, 122617, 29295, 119526, 108176, 113146, 198, 106699, 100927, 19732, 964, 1811, 37656, 95543, 103359, 16144, 48706, 119775, 91774, 107290, 5486, 103350, 15682, 28741, 30177, 114556, 78183, 103836, 27452, 29295, 83747, 103470, 100604, 16144, 119627, 5486, 61826, 9080, 32977, 114387, 39880, 115507, 29295, 120955, 103792, 16144, 30512, 118331, 61398, 16556, 53283, 31431, 79721, 29411, 47774, 34881, 822, 765, 578, 1193, 12443, 917, 430, 8779, 499, 4430, 11, 3974, 11, 323, 3839, 701, 16879, 10082, 198, 120613, 15682, 7189, 5010, 822, 1, 10110, 32131, 57933, 16073, 102158, 16556, 96508, 5486, 80699, 29295, 59739, 47884, 9458, 80699, 116825, 105784, 16144, 37689, 75376, 71493, 122148, 48552, 100927, 107263, 70141, 76622, 16144, 39880, 115507, 126529, 119627, 124563, 107188, 32149, 28190, 101828, 16995, 121432, 29295, 113265, 107121, 116216, 61689, 1811, 126843, 99959, 115691, 42634, 65575, 56051, 103378, 77181, 121432, 29295, 44416, 48249, 84389, 100481, 38144, 115132, 29220, 103906, 102832, 84477, 54926, 103846, 102052, 110577, 20230, 44437, 822, 16144, 108152, 38248, 114, 11972, 104856, 103836, 127177, 22023, 30046, 19732, 5486, 45840, 30512, 13177, 119455, 109247, 117503, 31634, 108761, 16556, 104369, 59739, 105784, 109215, 115991, 33541, 1811, 112990, 115364, 44437, 822, 20230, 13177, 80699, 29295, 59739, 102532, 10646, 5486, 37087, 38144, 16144, 121432, 29295, 38129, 108608, 101200, 108176, 102677, 106548, 103214, 64121, 9174, 62903, 124766, 100927, 16144, 106613, 105586, 19732, 78244, 116285, 110776, 102181, 119627, 5486, 44437, 822, 105352, 112672, 97518, 89046, 121432, 115991, 5486, 110776, 102181, 112028, 107792, 29295, 9080, 104680, 52563, 107001, 101200, 117084, 61689, 118844, 113115, 39926, 90178, 30512, 80172, 83932, 54926, 115789, 88367, 16556, 5486, 127177, 22023, 30046, 105459, 19732, 37689, 91774, 30512, 39209, 78183, 17663, 105908, 103082, 104533, 1811, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 121432, 15682, 43511, 105352, 11883, 37689, 84389, 100481, 38144, 5486, 27452, 116285, 115364, 55228, 230, 31431, 30512, 57933, 62903, 71634, 16556, 80172, 83932, 112990, 5486, 50, 2507, 112535, 127177, 108152, 38248, 114, 11972, 55031, 32977, 90178, 29295, 17701, 30369, 101200, 117084, 61689, 1811, 122270, 118899, 16144, 102741, 38248, 115, 68581, 33710, 39850, 125380, 102083, 116285, 82912, 108134, 121432, 119627, 5486, 44437, 822, 77181, 100927, 38093, 20230, 13177, 116696, 48552, 76171, 10646, 29295, 108608, 101200, 101983, 103836, 102677, 17599, 117, 104792, 104369, 31431, 1811, 106699, 100927, 102677, 55999, 33035, 16144, 109834, 103868, 30512, 100818, 116, 20230, 56051, 47260, 119263, 78683, 103906, 11972 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 24273, 29295, 30591, 104984, 103424, 117714, 119627, 115408, 16144, 126513, 198, 88852, 16144, 106592, 103721, 108, 31431, 104196, 15024, 5486, 31374, 248, 74245, 20230, 71289, 31431, 106307, 107674, 112973, 103350, 40474, 38641, 31195, 9174, 110480, 30512, 104862, 76947, 122984, 78434, 9174, 9458, 37026, 61337, 16556, 102803, 64810, 107446, 30512, 107691, 76947, 33655, 76947, 64121, 30369, 106609, 36518, 9009, 30512, 106839, 17701, 54926, 108152, 38248, 114, 114435, 103826, 16144, 120208, 71289, 110482, 30369, 120098, 5486, 76706, 11883, 56051, 50338, 104662, 41007, 30512, 113954, 54926, 103846, 38641, 9174, 115507, 64810, 64178, 22398, 71289, 31634, 14558, 23187, 104577, 16556, 14167, 100, 65854, 55031, 101128, 102, 64121, 5486, 50021, 111813, 114475, 105784, 30926, 29295, 43240, 47884, 57903, 33541, 29295, 111476, 58426, 101128, 102, 64121, 29295, 113954, 118765, 16144, 77181, 115552, 115991, 107515, 118855, 5486, 113954, 120837, 50338, 104662, 41007, 29295, 17620, 124403, 107173, 198, 13870, 232, 61337, 72661, 47260, 39880, 102803, 64810, 107446, 103378, 126194, 5486, 7594, 474, 71289, 2620, 2933, 32977, 109198, 17701, 39926, 76706, 11883, 39926, 5486, 108152, 38248, 114, 114435, 103826, 19732, 198, 25197, 126989, 55999, 19361, 29295, 108608, 101200, 115619, 107436, 61689, 9174, 116806, 70563, 64178, 33122, 103234, 30512, 20713, 59739, 72661, 15017, 119, 20834, 54926, 9174, 103087, 35083, 5486, 50928, 37689, 117408, 101275, 107328, 71289, 101275, 104091, 5486, 114435, 106581, 104309, 36518, 9009, 106839, 17701, 122521, 16556, 86127, 104067, 29295, 104195, 64121, 117282, 105494, 30512, 15017, 119, 20834, 39926, 198, 119869, 16144, 122148, 102472, 11972, 117282, 123655, 126694, 31431, 17129, 109954, 9174, 122571, 5486, 13870, 232, 61337, 29295, 16325, 31809, 114435, 20230, 82912, 78434, 105879, 13177, 36518, 9009, 30512, 106839, 17701, 54926, 104983, 107809, 31809, 114435, 16144, 101128, 102, 64121, 5486, 103435, 116, 104611, 28542, 15682, 198, 113954, 39926, 106839, 17701, 122521, 125545, 76864, 10110, 37271, 104856, 76947, 15682, 105037, 236, 62903, 25005, 107, 65575, 21060, 49838, 7705, 102677, 112973, 123655, 16556, 56051, 9174, 51330, 113314, 16144, 123655, 72661, 126521, 105879, 5486, 15017, 119, 20834, 103801, 109954, 9174, 90620, 5486, 103350, 104983, 20230, 36518, 9009, 30512, 109835, 76947, 64121, 38144, 116700, 39926, 64121, 38144, 13177, 106839, 17701, 54926, 80195, 75267, 105110, 108895, 91763, 30297, 57980, 26854, 31195, 10646, 111476, 13177, 108895, 126693, 50338, 104662, 106084, 102131, 31195, 10646, 110162, 101067, 66201, 21105, 103, 29295, 33503, 125338, 108086, 79721, 105879, 5486, 103001, 246, 111769, 38641, 9174, 9458, 99849, 72661, 104712, 55031, 119869, 16144, 81742, 14558, 16144, 30177, 28542, 126694, 30369, 9174, 116213, 16995, 17792, 101171, 230, 72661, 16205, 123, 30369, 5486, 126843, 15682, 109933, 107446, 30512, 46034, 103721, 108, 31431, 108385, 122101, 39880, 122131, 29295, 107693, 38641, 9174, 37046, 104680, 55031, 112990, 117864, 119064, 39442, 106613, 111186, 5486, 103350, 116486, 26854, 21105, 103, 105879, 120953, 125338, 109933, 107446, 16144, 50928, 30369, 104865, 11571, 19732, 198, 107750, 99397, 20230, 91763, 30297, 32149, 110241, 33121, 107515, 29295, 5486, 119147, 26274, 255, 47884, 53283, 31431, 40862, 100472, 13983, 43444, 7516, 18362, 104023, 48915, 114731, 112167, 101275, 7705, 220, 98369, 30512, 198, 38093, 30297, 103846, 125894, 76622, 101860, 31431, 18904, 76947, 5486, 15017, 119, 118158, 39880, 70563, 64178, 33122, 103234, 16556, 39880, 70563, 64178, 39926, 5486, 109933, 107446, 30512, 50928, 30369, 67016, 100604, 38641, 9174, 9458, 115507, 64810, 64178, 22398, 55031, 17701, 76947, 48864, 104369, 106592, 90962, 22398, 22398, 39850, 106609, 14167, 100, 65854, 16144, 111681, 104482, 107461, 39880, 122835, 55031, 111681, 104482, 113115, 54926, 102741, 37823, 72369, 38248, 115, 78205, 16073, 29172, 81742, 5486, 102803, 64810, 107446, 101682, 26130, 103296, 16144, 89753, 33121, 16556, 198, 106839, 17701, 122521, 80805, 84477, 118567, 55031, 91774, 38144, 115507, 64810, 64178, 22398, 102677, 38574, 106090, 115991, 33541, 9174, 112167, 101275, 47260, 71634, 108176, 105879, 115389, 29295, 110071, 105494, 32977, 113954, 125545, 29295, 110371, 111661, 106240, 15682, 119869, 120332, 15682, 198, 108882, 110993, 112535, 110284, 56051, 24273, 29295, 104712, 38641, 59459, 30591, 47884, 103296, 127880, 113727, 38641, 23954, 113702, 29295, 111654, 102800, 102677, 104468, 17620, 107277, 33541, 29295, 5486, 106649, 23538, 109904, 110226, 105576, 126036, 106613, 111186, 30512, 108882, 104004, 24273, 29295, 124042, 109904, 113702, 20230, 103721, 233, 29295, 30369, 198, 102677, 112973, 114667, 38641, 9174, 115507, 64810, 64178, 22398, 55031, 17701, 76947, 48864, 104369, 118733, 5486, 14167, 100, 65854, 29295, 32018, 62004, 100934, 100909, 10110, 111681, 104482, 16144, 113954, 65459, 198, 111681, 104482, 30512, 50338, 104662, 54926, 102741, 37823, 72369, 38248, 115, 78205, 113883, 76706, 11883, 71289, 29172, 81742, 41007, 5486, 37026, 33503, 68408, 102494, 126694, 31431, 58426, 102741, 37823, 72369, 38248, 115, 78205, 113883, 116700, 41007, 111476, 13983, 115867, 81742, 14558, 110305, 106240, 103296, 16144, 89753, 33121, 30512, 48864, 104369, 5486, 115924, 53901, 16144, 101513, 38093, 115717, 33541, 9174, 9458, 119869, 16144, 81742, 14558, 15682, 1041, 4, 71689, 16144, 33014, 44416, 30512, 106391, 113638, 54926, 106609, 119869, 16144, 81742, 14558, 15682, 5486, 32335, 32977, 37026, 61337, 32943, 16556, 19653, 108608, 33014, 44416, 30512, 106391, 113638, 103801, 109954, 9174, 22649, 101067, 15682, 5486, 91482, 76428, 102750, 22398, 30512, 76622, 25827, 73686, 54926, 17792, 30512, 104356, 20230, 106391, 113638, 56051, 24273, 29295, 104712, 38641, 9174, 114667, 15682, 5486, 126843, 15682, 37026, 61337, 30512, 14167, 100, 65854, 71289, 13983, 98369, 55031, 121819, 105987, 112535, 107624, 95001, 120837, 33503, 30297, 105908, 107693, 38641, 9174, 22023, 117943, 5486, 107624, 106053, 15682, 33671, 111363, 125494, 5486, 71174, 115856, 76622, 20230, 103721, 233, 29295, 31431, 33541, 9174, 58426, 113009, 5486, 32018, 62004, 110071, 100909, 103378, 30512, 103350, 102321, 54926, 16144, 126194, 5486, 104873, 115694, 64121, 38144, 103424, 30813, 120550, 105908, 30591, 104984, 198, 57326, 112718, 107908, 104774, 16556, 29172, 81742, 5486, 103350, 102321, 103801, 109954, 118844, 15682, 40265, 115926, 25580, 25446, 105284, 30512, 101523, 227, 126235, 25446, 105284, 20230, 113801, 109415, 33541, 9174, 9458, 42016, 103826, 16144, 91875, 19967, 30512, 17, 59739, 30832, 5486, 18, 59739, 30832, 19732, 103721, 233, 102639, 30369, 9174, 58426, 74482, 5486, 22023, 117943, 30512, 75146, 114457, 20230, 14167, 100, 65854, 55031, 17039, 28713, 26854, 50021, 111813, 114475, 107674, 31431, 5486, 13983, 98369, 55031, 50021, 111813, 29295, 37507, 30369, 101200, 115717, 33541, 9174, 31809, 30813, 26854, 18904, 108436, 29295, 119273, 104680, 20230, 27384, 112495, 18904, 108436, 117084, 50834, 33541, 9174, 27384, 30926, 26854, 104468, 14167, 100, 65854, 71289, 13983, 98369, 117758, 22023, 117943, 38641, 1811, 110382, 15682, 15120, 87217, 20230, 37689, 109375, 39926, 123120, 103801, 109954, 9174, 53900, 5486, 13983, 98369, 117758, 50021, 111813, 15682, 92776, 117271, 112990, 107624, 95001, 29295, 115442, 31431, 33541, 6447, 10110, 112008, 102800, 55031, 23954, 567, 109332, 127058, 117758, 21990, 16144, 71174, 198, 103350, 104983, 20230, 102208, 39850, 127058, 55031, 118013, 109415, 25580, 123470, 103826, 50021, 109853, 5486, 37689, 91774, 30512, 110226, 43167, 39926, 19012, 110, 107121, 78434, 9174, 30591, 107290, 15571, 120098, 5486, 17519, 120098, 104836, 24273, 30512, 61304, 107121, 127145, 9174, 17297, 25963, 118821, 17519, 120098, 114556, 39926, 15682, 5486, 101067, 23187, 84389, 30297, 30369, 111681, 104482, 116787, 68759, 102750, 76428, 73590, 110366, 72661, 111800, 118219, 17663, 125231, 31634, 72238, 115991, 198, 121846, 108176, 32149, 106046, 61689, 106609, 9458, 106111, 25580, 15682, 33655, 103836, 112113, 29295, 66953, 32131, 66953, 32131, 103351, 29295, 5486, 36518, 9009, 102677, 16, 118821, 62903, 25005, 107, 65575, 114792, 38144, 28713, 9174, 112361, 121606, 32943, 72661, 108901, 109020, 14167, 100, 65854, 5486, 112113, 30512, 109134, 30926, 29295, 43240, 47884, 5486, 55999, 33035, 16144, 87177, 104482, 29295, 43568, 16995, 121894, 115287, 29295, 111476, 118013, 109415, 74482, 77181, 36518, 9009, 16144, 112113, 102750, 47307, 16556, 103721, 233, 29295, 30369, 30926, 29295, 43240, 115737, 100472, 9174, 9458, 122928, 103991, 109904, 105284, 99397, 71289, 104873, 112984, 30512, 15024, 126172, 16995, 104466, 112391, 30369, 9174, 47260, 119263, 78683, 103906, 5486, 60868, 121057, 5486, 107740, 112919, 52884, 77750, 9458, 116229, 50667, 16556, 16937, 31958, 28542, 30512, 104873, 112984, 9458, 105284, 99397, 108608, 100909, 55031, 111476, 126843, 15682, 102803, 64810, 107446, 30512, 109198, 17701, 15024, 38129, 39926, 64121, 30369, 105908, 107693, 9174, 9458, 110577, 25359, 81742, 14558, 30512, 71289, 31431, 106272, 5486, 36518, 9009, 22398, 62903, 33710, 30512, 45736, 109315, 117232, 15682, 102494, 78459, 102832, 38248, 115, 78205, 16073, 30512, 45736, 109315, 112973, 111108, 67016, 100472, 9174, 9458, 66378, 20230, 40053, 126202, 39850, 127058, 30512, 104356, 20230, 5486, 39850, 127058, 56965, 16556, 36518, 9009, 95371, 71289, 103836, 39850, 127058, 19732, 77693, 116749, 16144, 39850, 127058, 16556, 198, 126287, 104364, 30512, 112391, 28713, 9174, 567, 220, 65316, 48154, 20230, 198, 17039, 106624, 27704, 109315, 102052, 117119, 30926, 32977, 40474, 107969, 71289, 53901, 103698, 64209, 29295, 32335, 32977, 107693, 125651, 9174, 14167, 100, 65854, 96412, 107436, 22398, 70563, 65575, 29295, 95399, 16995, 38641, 15024, 121453, 102800, 106081, 64121, 71289, 17039, 102800, 102741, 37823, 72369, 38248, 115, 78205, 16073, 29295, 106307, 104680, 19732, 37823, 37823, 61398, 116216, 109749, 111476, 85701, 103296, 20230, 101067, 23187, 21105, 103, 16995, 105933, 20251, 32131, 112193, 32977, 102404, 21990, 54926, 31195, 198, 85701, 113115, 117120, 54926, 102052, 5486, 40474, 107969, 71289, 53901, 103698, 64209, 123160, 45923, 62903, 45923, 62903, 29295, 109215, 38641, 9174, 77693, 30512, 114140, 54926, 113009, 5486, 47260, 119263, 78683, 103906, 20230, 110284, 39926, 64121, 30369, 5486, 25197, 102832, 52414, 20230, 110284, 39926, 64121, 30369, 111476, 47260, 42634, 96452, 54656, 235, 29295, 35894, 107674, 33503, 60868, 118804, 93488, 57207, 118283, 16144, 65454, 9009, 120650, 76947, 110770, 16144, 25132, 108, 116310, 95221, 30512, 120044, 16556, 112391, 30369, 9174, 85701, 16556, 40474, 107969, 5486, 107969, 33857, 125334, 38144, 109749, 116497, 59459, 20834, 38144, 22957, 100604, 105879, 30591, 104984, 5486, 43568, 22649, 21105, 103, 16995, 24273, 29295, 104712, 32149, 32977, 31195, 23954, 53900, 5486, 118013, 109415, 40265, 85707, 15682, 117876, 32977, 103470, 101275, 116486, 105352, 103721, 233, 29295, 121140, 115200, 102518, 119627, 10110, 37271, 72661, 27384, 104721, 125743, 65459, 198, 126920, 39850, 127058, 20230, 122393, 17129, 103468, 26854, 108861, 31195, 19732, 9174, 46456, 107290, 124089, 5486, 123120, 39926, 124089, 39850, 127058, 29295, 43240, 47884, 5486, 108975, 48634, 29295, 103470, 38144, 15682, 71289, 31431, 50834, 33121, 104435, 38641, 9174, 117271, 39926, 122396, 39850, 127058, 29295, 115515, 77181, 14167, 100, 65854, 16144, 61337, 101544, 71289, 34048, 101544, 104309, 110968, 31431, 40862, 16995, 5486, 87177, 103792, 110783, 104088, 104533, 198, 11589, 252, 106624, 26854, 100472, 26854, 108861, 19732, 115003, 231, 106624, 26854, 31431, 33541, 9174, 39850, 127058, 29295, 110904, 20230, 76739, 123581, 114676, 103378, 20230, 104650, 17129, 121140, 111476, 91482, 76428, 102750, 22398, 80805, 38248, 121, 16073, 103306, 13153, 101544, 39926, 124089, 112973, 36518, 9009, 112028, 87217, 16144, 104195, 64121, 107188, 106046, 16995, 79721, 1811, 128001, 128000, 2, 220, 122617, 29295, 119526, 108176, 113146, 198, 106699, 100927, 19732, 964, 1811, 37656, 95543, 103359, 16144, 48706, 119775, 91774, 107290, 5486, 103350, 15682, 28741, 30177, 114556, 78183, 103836, 27452, 29295, 83747, 103470, 100604, 16144, 119627, 5486, 61826, 9080, 32977, 114387, 39880, 115507, 29295, 120955, 103792, 16144, 30512, 118331, 61398, 16556, 53283, 31431, 79721, 29411, 47774, 34881, 822, 765, 578, 1193, 12443, 917, 430, 8779, 499, 4430, 11, 3974, 11, 323, 3839, 701, 16879, 10082, 198, 120613, 15682, 7189, 5010, 822, 1, 10110, 32131, 57933, 16073, 102158, 16556, 96508, 5486, 80699, 29295, 59739, 47884, 9458, 80699, 116825, 105784, 16144, 37689, 75376, 71493, 122148, 48552, 100927, 107263, 70141, 76622, 16144, 39880, 115507, 126529, 119627, 124563, 107188, 32149, 28190, 101828, 16995, 121432, 29295, 113265, 107121, 116216, 61689, 1811, 126843, 99959, 115691, 42634, 65575, 56051, 103378, 77181, 121432, 29295, 44416, 48249, 84389, 100481, 38144, 115132, 29220, 103906, 102832, 84477, 54926, 103846, 102052, 110577, 20230, 44437, 822, 16144, 108152, 38248, 114, 11972, 104856, 103836, 127177, 22023, 30046, 19732, 5486, 45840, 30512, 13177, 119455, 109247, 117503, 31634, 108761, 16556, 104369, 59739, 105784, 109215, 115991, 33541, 1811, 112990, 115364, 44437, 822, 20230, 13177, 80699, 29295, 59739, 102532, 10646, 5486, 37087, 38144, 16144, 121432, 29295, 38129, 108608, 101200, 108176, 102677, 106548, 103214, 64121, 9174, 62903, 124766, 100927, 16144, 106613, 105586, 19732, 78244, 116285, 110776, 102181, 119627, 5486, 44437, 822, 105352, 112672, 97518, 89046, 121432, 115991, 5486, 110776, 102181, 112028, 107792, 29295, 9080, 104680, 52563, 107001, 101200, 117084, 61689, 118844, 113115, 39926, 90178, 30512, 80172, 83932, 54926, 115789, 88367, 16556, 5486, 127177, 22023, 30046, 105459, 19732, 37689, 91774, 30512, 39209, 78183, 17663, 105908, 103082, 104533, 1811, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 121432, 15682, 43511, 105352, 11883, 37689, 84389, 100481, 38144, 5486, 27452, 116285, 115364, 55228, 230, 31431, 30512, 57933, 62903, 71634, 16556, 80172, 83932, 112990, 5486, 50, 2507, 112535, 127177, 108152, 38248, 114, 11972, 55031, 32977, 90178, 29295, 17701, 30369, 101200, 117084, 61689, 1811, 122270, 118899, 16144, 102741, 38248, 115, 68581, 33710, 39850, 125380, 102083, 116285, 82912, 108134, 121432, 119627, 5486, 44437, 822, 77181, 100927, 38093, 20230, 13177, 116696, 48552, 76171, 10646, 29295, 108608, 101200, 101983, 103836, 102677, 17599, 117, 104792, 104369, 31431, 1811, 106699, 100927, 102677, 55999, 33035, 16144, 109834, 103868, 30512, 100818, 116, 20230, 56051, 47260, 119263, 78683, 103906, 11972 ]
[ 70141, 76622, 39880, 115507, 118816, 113727, 104984, 5486, 43511, 105352, 121846, 115717, 120550, 39880, 115507, 32149, 110241, 33121, 107515, 9174, 80539, 28190, 101828, 16995, 104468, 5486, 44437, 822, 17905, 16144, 123120, 10110, 43511, 107707, 44437, 822, 30512, 39880, 29220, 103906, 102832, 84477, 54926, 5486, 110776, 102181, 112028, 107792, 30512, 98499, 104004, 50667, 7705, 29295, 61304, 108565, 84389, 5486, 111134, 52591, 33208, 39926, 52563, 107001, 102677, 106548, 103214, 64121, 1811, 44437, 822, 15682, 85701, 30512, 13177, 22023, 64209, 30512, 61304, 108565, 10110, 13432, 7705, 54926, 66383, 21405, 102321, 103792, 16144, 119627, 5486, 17129, 30813, 20230, 13177, 22023, 64209, 66383, 95604, 30832, 126365, 119841, 102944, 30512, 5486, 61304, 108565, 108608, 16, 118821, 83799, 116446, 102178, 111665, 54926, 102944, 19732, 78244, 105262, 123253, 1811, 32977, 43514, 85791, 25827, 110776, 102181, 30512, 98499, 104004, 100909, 71289, 127177, 22023, 30046, 19732, 113841, 54926, 100909, 103378, 29295, 22023, 64209, 16144, 83799, 36785, 5486, 102677, 113334, 77181, 124897, 29295, 9174, 124773, 123437, 67075, 29295, 103572, 82317, 15024, 5486, 122270, 124131, 84477, 108526, 16073, 29295, 40265, 115926, 123628, 48706, 115717, 59739, 59739, 101182, 16325, 16556, 117119, 32149, 30512, 119526, 20230, 104721, 58942, 108048, 30512, 55999, 19361, 54926, 102677, 105908, 101860, 16995, 104369, 25827, 105465, 115717, 79721, 1811, 118322, 112772, 108285, 29295, 30369, 101426, 86354, 15682, 5486, 71493, 127194, 30512, 33035, 100204, 38144, 115240, 71289, 106482, 66201, 115717, 5486, 104157, 116245, 15682, 64276, 30512, 33035, 100204, 38144, 100783, 107, 27479, 9458, 106613, 27479, 124259, 104721, 109033, 84389, 33541, 124845, 16995, 17129, 71289, 5486, 110776, 102181, 20230, 109835, 103468, 18904, 9039, 71289, 5486, 112832, 32149, 19732, 22023, 121755, 109853, 102158, 31431, 40862, 100472, 18904, 9039, 103296, 61304, 108565, 84389, 5486, 55999, 19361, 107001, 113334, 125651, 1811, 118288, 9080, 121568, 52884, 77750, 120332, 16556, 5486, 107691, 16995, 53953, 124766, 126694, 13153, 108608, 102677, 54, 28050, 16144, 45840, 39880, 115507, 109853, 126362, 56051, 16144, 119627, 115847, 32977, 78698, 107290, 64121, 104984, 36896, 107691, 16995, 53953, 124766, 66383, 95604, 48154, 47884, 86127, 109904, 102944, 29295, 119526, 33208, 84389, 5486, 54, 28050, 102677, 114435, 29295, 116718, 20230, 102178, 111665, 108608, 101200, 108176, 102677, 125396, 30512, 109243, 107436, 61689, 10110, 54, 28050, 15682, 85701, 17129, 72661, 964, 33208, 71289, 119526, 106596, 20230, 123457, 17701, 106824, 105898, 105879, 5486, 112672, 58426, 112169, 34171, 30512, 113727, 100934, 123253, 75376, 59739, 109709, 85701, 17129, 77181, 9039, 58942, 101200, 29295, 104435, 30926, 120910, 71289, 102321, 47523, 72661, 115132, 115507, 71289, 125175, 30512, 17905, 46034, 47884, 68408, 126590, 39926, 104908, 39926, 71289, 104984, 5486, 119526, 33208, 39926, 110226, 43167, 108608, 101200, 101983, 103836, 113334, 38641, 9174, 118899, 110745, 37729, 33857, 32149, 59739, 43240, 103826, 26854, 119526, 109753, 30512, 120018, 16556, 106596, 108608, 102677, 13177, 91482, 115432, 119526, 117503, 126067, 29295, 26130, 118146, 43167, 62004, 100934, 109335, 51330, 52884, 77750, 72661, 118899, 109835, 106824, 105898, 121640, 119627, 121453, 28713, 26854, 106596, 103223, 64178, 30512, 46034, 117657, 100909, 19732, 50211, 23039, 39926, 113727, 123207, 105110, 100604, 31634, 72238, 16144, 16, 59739, 15682, 36896, 104405, 125338, 119526, 30512, 11883, 37689, 54926, 32149, 66383, 95604, 28542, 111769, 123253, 32149, 1811, 123532, 37507, 72661, 108948, 72516, 20230, 37507, 30369, 33334, 65854, 118969, 16144, 80356, 30512, 102178, 111665, 54926, 113009, 120098, 123218, 30512, 102404, 23039, 54926, 5486, 106942, 113115, 54926, 99750, 101067, 30512, 102178, 111665, 54926, 113009, 98499, 30046, 123218, 10110, 118192, 108270, 52414, 59739, 50834, 7705, 30512, 30775, 253, 104127, 33334, 47884, 5486, 102083, 100472, 49792, 101908, 29295, 23039, 78183, 106824, 50834, 79721, 119520, 112599, 77181, 17905, 61304, 119775, 5486, 100927, 38093, 20230, 125338, 37507, 30369, 17792, 104680, 16144, 123120, 30512, 102178, 111665, 54926, 108948, 65854, 118969, 16144, 107691, 16995, 53953, 124766, 30512, 102178, 111665, 54926, 102083, 100472, 100909, 103296, 39880, 115507, 30512, 33035, 100204, 38144, 88367, 117084, 61689, 118855, 77693, 103378, 119237, 101983, 103836, 102677, 109335, 5486, 105994, 29295, 111654, 102800, 119526, 109753, 30512, 110577, 20230, 48915, 34048, 16144, 112832, 32149, 29295, 124475, 103792, 125396, 32977, 57903, 108048, 30512, 107691, 116285, 126521, 102677, 122225, 32977, 108608, 123253, 1811, 31634, 15682, 17039, 102800, 102404, 101067, 16556, 119526, 30512, 68408, 126590, 54926, 100909, 5486, 101182, 16995, 15682, 58426, 102669, 105838, 30512, 78698, 105262, 105908, 27384, 102769, 26854, 105272, 19732, 78244, 105262, 123253, 32149, 9174, 116900, 20230, 78244, 116285, 115847, 117758, 33420, 106382, 30046, 15682, 13177, 105994, 126027, 30591, 33503, 106644, 30369, 123120, 15682, 119526, 33208, 110731, 32149, 121061, 66383, 95604, 37689, 109375, 114792, 59739, 105908, 27384, 102769, 26854, 104865, 110241, 33121, 107515, 1811, 102924, 60632, 26854, 39880, 115507, 124905, 103836, 117591, 20230, 106116, 17905, 113245, 68408, 76428, 122258, 123120, 61304, 108565, 29295, 116414, 32149, 16556, 106596, 84389, 117119, 111201, 33655, 78183, 115032, 103794, 122582, 32977, 43514, 85791, 25827, 112997, 29220, 16144, 109606, 116787, 5486, 59614, 101860, 15024, 32977, 109161, 16995, 113702, 30512, 32977, 127567, 17663, 102944, 107118, 48249, 31431, 107515, 29295, 5486, 107943, 30926, 107328, 30512, 37689, 109375, 103792, 105908, 107693, 123253, 1811, 83747, 103470, 107173, 17905, 61304, 119775, 5486, 91482, 115432, 119526, 30512, 106596, 108608, 17039, 28713, 26854, 103223, 64178, 29295, 103350, 11883, 33208, 84389, 59739, 59739, 101182, 16995, 17129, 5486, 119526, 30512, 115079, 71289, 102131, 102677, 76171, 113714, 103906, 52884, 29295, 112294, 115464, 109335, 100604, 16144, 38641, 55031, 9174, 104971, 106369, 15024, 117063, 113270, 198, 13177, 1428, 45, 17039, 102181, 10646, 98897, 55723, 20230, 110284, 39926, 124620, 91482, 115432, 119526, 106222, 16144, 28037, 37507, 36761, 102677, 106649, 16995, 120115, 102181, 108847, 30512, 102181, 32149, 72342, 100481, 90620, 50834, 79721, 1811, 112825, 110904, 26854, 123011, 62004, 119627, 5486, 92693, 16556, 121298, 127145, 105879, 5486, 57980, 85791, 21105, 239, 104984, 21043, 66776, 9174, 11144, 109298, 8107, 123628, 110589, 16144, 77219, 112479, 47774, 107289, 66953, 68759, 27384, 105156, 108761, 36896, 25904, 95371, 33655, 100472, 109335, 100604, 66383, 102404, 78244, 10110, 91875, 55723, 57903, 7705, 43444, 1049, 24, 8107, 806, 9953, 845, 9080, 23954, 47774, 45631, 106045, 44416, 107809, 16556, 123726, 108618, 103950, 117408, 105110, 5486, 32943, 64209, 44620, 15024, 62004, 15024, 62004, 36761, 38641, 10646, 43444, 1049, 23, 8107, 806, 9953, 845, 9080, 23954, 47774, 45631, 104394, 75293, 103397, 16144, 100604, 24273, 15682, 110371, 33334, 72516, 16556, 33334, 107691, 16995, 53953, 16995, 90620, 47884, 109335, 103082, 107515, 10646, 43444, 1049, 22, 8107, 806, 9953, 845, 9080, 7705, 128001, 128000, 46702, 9953, 39177, 28542, 16556, 122571, 20713, 8107, 16556, 111587, 104004, 108995, 106046, 107462, 79721, 109900, 103296, 20230, 102756, 29220, 78459, 16073, 29295, 103572, 82317, 54926, 104468, 111108, 102800, 108995, 123682, 5486, 99750, 108208, 30046, 30512, 115079, 71289, 30813, 100604, 24273, 105226, 15682, 105184, 80195, 54926, 108995, 106046, 100472, 55031, 38641, 109900, 16556, 20713, 8107, 110904, 25129, 16144, 81932, 30512, 120273, 103664, 121256, 9174, 80673, 102321, 39177, 28542, 16556, 5486, 37507, 8107, 105140, 48864, 23538, 105721, 35287, 17129, 77181, 110191, 118372, 114341, 104577, 29295, 106307, 108112, 103950, 106046, 76947, 61689, 9174, 114667, 15682, 17297, 61304, 38641, 9174, 20713, 23954, 40474, 124324, 120266, 5486, 39442, 36785, 20230, 74256, 111800, 112984, 9039, 29295, 108008, 20230, 83747, 100604, 1811, 43568, 111571, 103397, 30046, 29295, 37026, 110362, 75293, 101513, 39926, 47884, 110615, 19732, 99750, 108208, 15682, 33334, 118969, 110104, 110115, 5486, 116056, 127749, 118816, 43568, 111571, 103397, 30046, 15682, 37026, 112854, 103470, 20834, 105564, 50834, 106307, 105784, 9174, 25963, 7705, 47260, 42634, 96452, 15682, 107188, 31431, 95399, 47884, 104721, 108901, 54926, 105908, 17620, 32149, 121118, 1811, 76171, 52591, 33710, 76739, 16073, 103988, 32977, 117809, 103283, 20230, 108901, 109020, 102756, 29220, 78459, 16073, 30512, 76537, 103836, 106592, 113727, 104533, 5486, 103082, 28713, 102756, 29220, 78459, 16073, 29295, 105509, 115287, 103306, 32977, 5486, 126120, 47884, 32149, 104405, 32149, 15682, 16937, 31958, 9174, 51330, 20713, 65459, 25963, 7705, 55031, 5486, 99750, 108208, 29295, 34617, 9953, 103296, 20230, 105721, 23018, 54926, 109335, 43568, 16995, 108995, 106046, 16995, 79721, 9174, 15120, 39177, 13177, 47260, 42634, 96452, 114016, 104346, 123296, 113314, 66383, 16144, 110665, 78244, 29295, 118823, 20230, 115442, 100472, 115789, 57903, 79721, 29295, 5486, 105268, 30046, 72661, 30358, 111571, 33208, 56051, 31431, 5486, 30358, 111571, 33208, 21105, 103, 47884, 111243, 74482, 115514, 111571, 29295, 108618, 30369, 105908, 78183, 126469, 50834, 79721, 10110, 76171, 52591, 33710, 76739, 16073, 103988, 126036, 16906, 226, 75910, 75376, 26854, 105879, 36896, 47260, 42634, 96452, 114016, 106956, 56051, 100909, 100604, 66383, 27384, 43240, 9039, 29295, 78698, 105262, 127749, 102052, 105110, 100604, 106046, 61689, 9174, 58426, 25580, 29172, 16556, 111476, 34617, 7705, 102667, 15682, 105268, 30046, 29295, 120766, 54926, 17905, 20230, 5486, 34048, 76706, 104309, 113245, 28741, 26854, 30177, 109835, 104309, 107059, 115332, 29295, 125119, 31431, 126172, 16995, 109807, 17905, 20230, 104650, 106718, 16144, 17701, 29504, 30512, 100783, 102, 34208, 54926, 91875, 50834, 115991, 10110, 85707, 23538, 109156, 121118, 104468, 103787, 115953, 25287, 5486, 33671, 29295, 112673, 118517, 26269, 80805, 25287, 65459, 120065, 104754, 64889, 127564, 107059, 115332, 102404, 21990, 102677, 112997, 29220, 15682, 45736, 82533, 109709, 54926, 9174, 46702, 7705, 102667, 16556, 107059, 115332, 29295, 102404, 21990, 112990, 106718, 16144, 81258, 76706, 20230, 117375, 54926, 104309, 102987, 106145, 26854, 127749, 108176, 105879, 5486, 102667, 15682, 104378, 101513, 97518, 107809, 72661, 127762, 30358, 26854, 117271, 30512, 106307, 76622, 75694, 30369, 30512, 50928, 100604, 10110, 26854, 105879, 31809, 16325, 45736, 15682, 33035, 48864, 39926, 102532, 32977, 5486, 43240, 119064, 102667, 16556, 39442, 36785, 110191, 118372, 123505, 34617, 65459, 46702, 120732, 115517, 29295, 102667, 102052, 101182, 105879, 5486, 37507, 116358, 105140, 48864, 23538, 32977, 5486, 43240, 119064, 106718, 29295, 100927, 102452, 20230, 28741, 43167, 72342, 75694, 30369, 30512, 50928, 100604, 114341, 104577, 15682, 5486, 110191, 118372, 101983, 33503, 75694, 30369, 30512, 50928, 100604, 106046, 61689, 9174, 103350, 111186, 71289, 106384, 116168, 104873, 112984, 104309, 15682, 103359, 105226, 30512, 114392, 20230, 102923, 17663, 118733, 88367, 36785, 106046, 61689, 29295, 5486, 104650, 106718, 15682, 102433, 17792, 19732, 99750, 112854, 29295, 108010, 30297, 125396, 115991, 10110, 27452, 116285, 68759, 115592, 16144, 100815, 11883, 110162, 65459, 17599, 117, 104792, 56051, 64467, 106839, 15682, 111108, 21105, 251, 30297, 38641, 9174, 103350, 15682, 68093, 9953, 20230, 37507, 9080, 54926, 102040, 78525, 103351, 104650, 106718, 29295, 107991, 16144, 119627, 5486, 112185, 104405, 109020, 32149, 17620, 107277, 107515, 123601, 17792, 55031, 50021, 111813, 29295, 124284, 33503, 5486, 120175, 100815, 47884, 103296, 104650, 48864, 30512, 109337, 23538, 39926, 15682, 19732, 53508, 100, 62004, 101200, 106046, 76947, 61689, 9174, 106718, 30512, 64467, 106839, 103792, 100927, 102351, 102052, 43240, 32149, 33121, 83747, 26854, 32149, 33121, 5486, 101128, 102, 17129, 102800, 9080, 104680, 29295, 106307, 50834, 33541, 101832, 1811, 128001, 128000, 90115, 30591, 71289, 38641, 9174, 47260, 25005, 240, 11972, 15682, 106347, 250, 53901, 25446, 16556, 33014, 102052, 30591, 109709, 114652, 100604, 115320, 64121, 53953, 19732, 117952, 33121, 100481, 79721, 29295, 5486, 105321, 19732, 118899, 77181, 124807, 76739, 67075, 8239, 114503, 71289, 64209, 26274, 241, 103429, 71289, 101171, 111, 124305, 16325, 5486, 105324, 107246, 32648, 116436, 111694, 16144, 121993, 112997, 29220, 16144, 103167, 17297, 104309, 103826, 104680, 26854, 126521, 8239, 114503, 30512, 32977, 127567, 17663, 105908, 78183, 126469, 50834, 79721, 1811, 86127, 32977, 47260, 25005, 240, 11972, 29295, 27384, 120111, 16556, 16, 9080, 18, 56040, 20, 109247, 115320, 104004, 105879, 106116, 105933, 126521, 8239, 114503, 29295, 121771, 98369, 101182, 115320, 64121, 53953, 118816, 53283, 76947, 30297, 33121, 106624, 91763, 76947, 61689, 1811, 66378, 20230, 111482, 105110, 47260, 25005, 240, 115247, 124807, 76739, 67075, 8239, 114503, 102677, 112973, 95221, 108176, 123253, 1811, 110382, 77181, 5486, 8239, 114503, 109904, 115320, 64121, 24273, 71289, 61633, 54926, 28542, 109853, 48154, 126362, 78434, 9174, 567, 68042, 25005, 240, 11972, 29295, 124807, 76739, 67075, 20230, 8239, 114503, 109904, 114667, 198, 26854, 112371, 47260, 25005, 240, 11972, 20230, 124807, 76739, 67075, 8239, 114503, 29295, 125494, 108608, 104865, 102677, 19732, 108048, 15682, 47260, 25005, 240, 11972, 102052, 71493, 111661, 76171, 19732, 110305, 42634, 105621, 16073, 108602, 102677, 13153, 17620, 29295, 96412, 17129, 115032, 55031, 38641, 9174, 71493, 111661, 76171, 102052, 88852, 120950, 8239, 114503, 115991, 33541, 9174, 118075, 116196, 224, 57942, 103, 17620, 50338, 100845, 113, 72238, 30512, 76706, 102404, 117657, 198, 119560, 108350, 17920, 236, 31640, 118835, 30512, 109415, 30369, 198, 126892, 110045, 20251, 107840, 8239, 114503, 198, 49412, 96, 108791, 32131, 107840, 8239, 114503, 198, 14711, 220, 118075, 116196, 224, 57942, 103, 17620, 50338, 100845, 113, 72238, 30512, 76706, 102404, 117657, 198, 71493, 111661, 76171, 15682, 33014, 32943, 20230, 107246, 110226, 84389, 104533, 5486, 164, 90279, 26274, 241, 55031, 17620, 14888, 234, 107001, 121496, 57942, 103, 17620, 50338, 100845, 113, 72238, 7, 37823, 80805, 38248, 120, 8, 30512, 76706, 102404, 20230, 124545, 8239, 114503, 115991, 33541, 1811, 37823, 80805, 38248, 120, 29295, 76706, 102404, 20230, 122502, 47884, 118733, 5486, 121496, 105284, 16144, 31640, 118835, 30512, 113096, 17663, 105908, 125545, 9174, 14711, 220, 119560, 108350, 17920, 236, 31640, 118835, 30512, 109415, 30369, 198, 71493, 111661, 76171, 102052, 104473, 36651, 30512, 26955, 94, 105714 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 70141, 76622, 39880, 115507, 118816, 113727, 104984, 5486, 43511, 105352, 121846, 115717, 120550, 39880, 115507, 32149, 110241, 33121, 107515, 9174, 80539, 28190, 101828, 16995, 104468, 5486, 44437, 822, 17905, 16144, 123120, 10110, 43511, 107707, 44437, 822, 30512, 39880, 29220, 103906, 102832, 84477, 54926, 5486, 110776, 102181, 112028, 107792, 30512, 98499, 104004, 50667, 7705, 29295, 61304, 108565, 84389, 5486, 111134, 52591, 33208, 39926, 52563, 107001, 102677, 106548, 103214, 64121, 1811, 44437, 822, 15682, 85701, 30512, 13177, 22023, 64209, 30512, 61304, 108565, 10110, 13432, 7705, 54926, 66383, 21405, 102321, 103792, 16144, 119627, 5486, 17129, 30813, 20230, 13177, 22023, 64209, 66383, 95604, 30832, 126365, 119841, 102944, 30512, 5486, 61304, 108565, 108608, 16, 118821, 83799, 116446, 102178, 111665, 54926, 102944, 19732, 78244, 105262, 123253, 1811, 32977, 43514, 85791, 25827, 110776, 102181, 30512, 98499, 104004, 100909, 71289, 127177, 22023, 30046, 19732, 113841, 54926, 100909, 103378, 29295, 22023, 64209, 16144, 83799, 36785, 5486, 102677, 113334, 77181, 124897, 29295, 9174, 124773, 123437, 67075, 29295, 103572, 82317, 15024, 5486, 122270, 124131, 84477, 108526, 16073, 29295, 40265, 115926, 123628, 48706, 115717, 59739, 59739, 101182, 16325, 16556, 117119, 32149, 30512, 119526, 20230, 104721, 58942, 108048, 30512, 55999, 19361, 54926, 102677, 105908, 101860, 16995, 104369, 25827, 105465, 115717, 79721, 1811, 118322, 112772, 108285, 29295, 30369, 101426, 86354, 15682, 5486, 71493, 127194, 30512, 33035, 100204, 38144, 115240, 71289, 106482, 66201, 115717, 5486, 104157, 116245, 15682, 64276, 30512, 33035, 100204, 38144, 100783, 107, 27479, 9458, 106613, 27479, 124259, 104721, 109033, 84389, 33541, 124845, 16995, 17129, 71289, 5486, 110776, 102181, 20230, 109835, 103468, 18904, 9039, 71289, 5486, 112832, 32149, 19732, 22023, 121755, 109853, 102158, 31431, 40862, 100472, 18904, 9039, 103296, 61304, 108565, 84389, 5486, 55999, 19361, 107001, 113334, 125651, 1811, 118288, 9080, 121568, 52884, 77750, 120332, 16556, 5486, 107691, 16995, 53953, 124766, 126694, 13153, 108608, 102677, 54, 28050, 16144, 45840, 39880, 115507, 109853, 126362, 56051, 16144, 119627, 115847, 32977, 78698, 107290, 64121, 104984, 36896, 107691, 16995, 53953, 124766, 66383, 95604, 48154, 47884, 86127, 109904, 102944, 29295, 119526, 33208, 84389, 5486, 54, 28050, 102677, 114435, 29295, 116718, 20230, 102178, 111665, 108608, 101200, 108176, 102677, 125396, 30512, 109243, 107436, 61689, 10110, 54, 28050, 15682, 85701, 17129, 72661, 964, 33208, 71289, 119526, 106596, 20230, 123457, 17701, 106824, 105898, 105879, 5486, 112672, 58426, 112169, 34171, 30512, 113727, 100934, 123253, 75376, 59739, 109709, 85701, 17129, 77181, 9039, 58942, 101200, 29295, 104435, 30926, 120910, 71289, 102321, 47523, 72661, 115132, 115507, 71289, 125175, 30512, 17905, 46034, 47884, 68408, 126590, 39926, 104908, 39926, 71289, 104984, 5486, 119526, 33208, 39926, 110226, 43167, 108608, 101200, 101983, 103836, 113334, 38641, 9174, 118899, 110745, 37729, 33857, 32149, 59739, 43240, 103826, 26854, 119526, 109753, 30512, 120018, 16556, 106596, 108608, 102677, 13177, 91482, 115432, 119526, 117503, 126067, 29295, 26130, 118146, 43167, 62004, 100934, 109335, 51330, 52884, 77750, 72661, 118899, 109835, 106824, 105898, 121640, 119627, 121453, 28713, 26854, 106596, 103223, 64178, 30512, 46034, 117657, 100909, 19732, 50211, 23039, 39926, 113727, 123207, 105110, 100604, 31634, 72238, 16144, 16, 59739, 15682, 36896, 104405, 125338, 119526, 30512, 11883, 37689, 54926, 32149, 66383, 95604, 28542, 111769, 123253, 32149, 1811, 123532, 37507, 72661, 108948, 72516, 20230, 37507, 30369, 33334, 65854, 118969, 16144, 80356, 30512, 102178, 111665, 54926, 113009, 120098, 123218, 30512, 102404, 23039, 54926, 5486, 106942, 113115, 54926, 99750, 101067, 30512, 102178, 111665, 54926, 113009, 98499, 30046, 123218, 10110, 118192, 108270, 52414, 59739, 50834, 7705, 30512, 30775, 253, 104127, 33334, 47884, 5486, 102083, 100472, 49792, 101908, 29295, 23039, 78183, 106824, 50834, 79721, 119520, 112599, 77181, 17905, 61304, 119775, 5486, 100927, 38093, 20230, 125338, 37507, 30369, 17792, 104680, 16144, 123120, 30512, 102178, 111665, 54926, 108948, 65854, 118969, 16144, 107691, 16995, 53953, 124766, 30512, 102178, 111665, 54926, 102083, 100472, 100909, 103296, 39880, 115507, 30512, 33035, 100204, 38144, 88367, 117084, 61689, 118855, 77693, 103378, 119237, 101983, 103836, 102677, 109335, 5486, 105994, 29295, 111654, 102800, 119526, 109753, 30512, 110577, 20230, 48915, 34048, 16144, 112832, 32149, 29295, 124475, 103792, 125396, 32977, 57903, 108048, 30512, 107691, 116285, 126521, 102677, 122225, 32977, 108608, 123253, 1811, 31634, 15682, 17039, 102800, 102404, 101067, 16556, 119526, 30512, 68408, 126590, 54926, 100909, 5486, 101182, 16995, 15682, 58426, 102669, 105838, 30512, 78698, 105262, 105908, 27384, 102769, 26854, 105272, 19732, 78244, 105262, 123253, 32149, 9174, 116900, 20230, 78244, 116285, 115847, 117758, 33420, 106382, 30046, 15682, 13177, 105994, 126027, 30591, 33503, 106644, 30369, 123120, 15682, 119526, 33208, 110731, 32149, 121061, 66383, 95604, 37689, 109375, 114792, 59739, 105908, 27384, 102769, 26854, 104865, 110241, 33121, 107515, 1811, 102924, 60632, 26854, 39880, 115507, 124905, 103836, 117591, 20230, 106116, 17905, 113245, 68408, 76428, 122258, 123120, 61304, 108565, 29295, 116414, 32149, 16556, 106596, 84389, 117119, 111201, 33655, 78183, 115032, 103794, 122582, 32977, 43514, 85791, 25827, 112997, 29220, 16144, 109606, 116787, 5486, 59614, 101860, 15024, 32977, 109161, 16995, 113702, 30512, 32977, 127567, 17663, 102944, 107118, 48249, 31431, 107515, 29295, 5486, 107943, 30926, 107328, 30512, 37689, 109375, 103792, 105908, 107693, 123253, 1811, 83747, 103470, 107173, 17905, 61304, 119775, 5486, 91482, 115432, 119526, 30512, 106596, 108608, 17039, 28713, 26854, 103223, 64178, 29295, 103350, 11883, 33208, 84389, 59739, 59739, 101182, 16995, 17129, 5486, 119526, 30512, 115079, 71289, 102131, 102677, 76171, 113714, 103906, 52884, 29295, 112294, 115464, 109335, 100604, 16144, 38641, 55031, 9174, 104971, 106369, 15024, 117063, 113270, 198, 13177, 1428, 45, 17039, 102181, 10646, 98897, 55723, 20230, 110284, 39926, 124620, 91482, 115432, 119526, 106222, 16144, 28037, 37507, 36761, 102677, 106649, 16995, 120115, 102181, 108847, 30512, 102181, 32149, 72342, 100481, 90620, 50834, 79721, 1811, 112825, 110904, 26854, 123011, 62004, 119627, 5486, 92693, 16556, 121298, 127145, 105879, 5486, 57980, 85791, 21105, 239, 104984, 21043, 66776, 9174, 11144, 109298, 8107, 123628, 110589, 16144, 77219, 112479, 47774, 107289, 66953, 68759, 27384, 105156, 108761, 36896, 25904, 95371, 33655, 100472, 109335, 100604, 66383, 102404, 78244, 10110, 91875, 55723, 57903, 7705, 43444, 1049, 24, 8107, 806, 9953, 845, 9080, 23954, 47774, 45631, 106045, 44416, 107809, 16556, 123726, 108618, 103950, 117408, 105110, 5486, 32943, 64209, 44620, 15024, 62004, 15024, 62004, 36761, 38641, 10646, 43444, 1049, 23, 8107, 806, 9953, 845, 9080, 23954, 47774, 45631, 104394, 75293, 103397, 16144, 100604, 24273, 15682, 110371, 33334, 72516, 16556, 33334, 107691, 16995, 53953, 16995, 90620, 47884, 109335, 103082, 107515, 10646, 43444, 1049, 22, 8107, 806, 9953, 845, 9080, 7705, 128001, 128000, 46702, 9953, 39177, 28542, 16556, 122571, 20713, 8107, 16556, 111587, 104004, 108995, 106046, 107462, 79721, 109900, 103296, 20230, 102756, 29220, 78459, 16073, 29295, 103572, 82317, 54926, 104468, 111108, 102800, 108995, 123682, 5486, 99750, 108208, 30046, 30512, 115079, 71289, 30813, 100604, 24273, 105226, 15682, 105184, 80195, 54926, 108995, 106046, 100472, 55031, 38641, 109900, 16556, 20713, 8107, 110904, 25129, 16144, 81932, 30512, 120273, 103664, 121256, 9174, 80673, 102321, 39177, 28542, 16556, 5486, 37507, 8107, 105140, 48864, 23538, 105721, 35287, 17129, 77181, 110191, 118372, 114341, 104577, 29295, 106307, 108112, 103950, 106046, 76947, 61689, 9174, 114667, 15682, 17297, 61304, 38641, 9174, 20713, 23954, 40474, 124324, 120266, 5486, 39442, 36785, 20230, 74256, 111800, 112984, 9039, 29295, 108008, 20230, 83747, 100604, 1811, 43568, 111571, 103397, 30046, 29295, 37026, 110362, 75293, 101513, 39926, 47884, 110615, 19732, 99750, 108208, 15682, 33334, 118969, 110104, 110115, 5486, 116056, 127749, 118816, 43568, 111571, 103397, 30046, 15682, 37026, 112854, 103470, 20834, 105564, 50834, 106307, 105784, 9174, 25963, 7705, 47260, 42634, 96452, 15682, 107188, 31431, 95399, 47884, 104721, 108901, 54926, 105908, 17620, 32149, 121118, 1811, 76171, 52591, 33710, 76739, 16073, 103988, 32977, 117809, 103283, 20230, 108901, 109020, 102756, 29220, 78459, 16073, 30512, 76537, 103836, 106592, 113727, 104533, 5486, 103082, 28713, 102756, 29220, 78459, 16073, 29295, 105509, 115287, 103306, 32977, 5486, 126120, 47884, 32149, 104405, 32149, 15682, 16937, 31958, 9174, 51330, 20713, 65459, 25963, 7705, 55031, 5486, 99750, 108208, 29295, 34617, 9953, 103296, 20230, 105721, 23018, 54926, 109335, 43568, 16995, 108995, 106046, 16995, 79721, 9174, 15120, 39177, 13177, 47260, 42634, 96452, 114016, 104346, 123296, 113314, 66383, 16144, 110665, 78244, 29295, 118823, 20230, 115442, 100472, 115789, 57903, 79721, 29295, 5486, 105268, 30046, 72661, 30358, 111571, 33208, 56051, 31431, 5486, 30358, 111571, 33208, 21105, 103, 47884, 111243, 74482, 115514, 111571, 29295, 108618, 30369, 105908, 78183, 126469, 50834, 79721, 10110, 76171, 52591, 33710, 76739, 16073, 103988, 126036, 16906, 226, 75910, 75376, 26854, 105879, 36896, 47260, 42634, 96452, 114016, 106956, 56051, 100909, 100604, 66383, 27384, 43240, 9039, 29295, 78698, 105262, 127749, 102052, 105110, 100604, 106046, 61689, 9174, 58426, 25580, 29172, 16556, 111476, 34617, 7705, 102667, 15682, 105268, 30046, 29295, 120766, 54926, 17905, 20230, 5486, 34048, 76706, 104309, 113245, 28741, 26854, 30177, 109835, 104309, 107059, 115332, 29295, 125119, 31431, 126172, 16995, 109807, 17905, 20230, 104650, 106718, 16144, 17701, 29504, 30512, 100783, 102, 34208, 54926, 91875, 50834, 115991, 10110, 85707, 23538, 109156, 121118, 104468, 103787, 115953, 25287, 5486, 33671, 29295, 112673, 118517, 26269, 80805, 25287, 65459, 120065, 104754, 64889, 127564, 107059, 115332, 102404, 21990, 102677, 112997, 29220, 15682, 45736, 82533, 109709, 54926, 9174, 46702, 7705, 102667, 16556, 107059, 115332, 29295, 102404, 21990, 112990, 106718, 16144, 81258, 76706, 20230, 117375, 54926, 104309, 102987, 106145, 26854, 127749, 108176, 105879, 5486, 102667, 15682, 104378, 101513, 97518, 107809, 72661, 127762, 30358, 26854, 117271, 30512, 106307, 76622, 75694, 30369, 30512, 50928, 100604, 10110, 26854, 105879, 31809, 16325, 45736, 15682, 33035, 48864, 39926, 102532, 32977, 5486, 43240, 119064, 102667, 16556, 39442, 36785, 110191, 118372, 123505, 34617, 65459, 46702, 120732, 115517, 29295, 102667, 102052, 101182, 105879, 5486, 37507, 116358, 105140, 48864, 23538, 32977, 5486, 43240, 119064, 106718, 29295, 100927, 102452, 20230, 28741, 43167, 72342, 75694, 30369, 30512, 50928, 100604, 114341, 104577, 15682, 5486, 110191, 118372, 101983, 33503, 75694, 30369, 30512, 50928, 100604, 106046, 61689, 9174, 103350, 111186, 71289, 106384, 116168, 104873, 112984, 104309, 15682, 103359, 105226, 30512, 114392, 20230, 102923, 17663, 118733, 88367, 36785, 106046, 61689, 29295, 5486, 104650, 106718, 15682, 102433, 17792, 19732, 99750, 112854, 29295, 108010, 30297, 125396, 115991, 10110, 27452, 116285, 68759, 115592, 16144, 100815, 11883, 110162, 65459, 17599, 117, 104792, 56051, 64467, 106839, 15682, 111108, 21105, 251, 30297, 38641, 9174, 103350, 15682, 68093, 9953, 20230, 37507, 9080, 54926, 102040, 78525, 103351, 104650, 106718, 29295, 107991, 16144, 119627, 5486, 112185, 104405, 109020, 32149, 17620, 107277, 107515, 123601, 17792, 55031, 50021, 111813, 29295, 124284, 33503, 5486, 120175, 100815, 47884, 103296, 104650, 48864, 30512, 109337, 23538, 39926, 15682, 19732, 53508, 100, 62004, 101200, 106046, 76947, 61689, 9174, 106718, 30512, 64467, 106839, 103792, 100927, 102351, 102052, 43240, 32149, 33121, 83747, 26854, 32149, 33121, 5486, 101128, 102, 17129, 102800, 9080, 104680, 29295, 106307, 50834, 33541, 101832, 1811, 128001, 128000, 90115, 30591, 71289, 38641, 9174, 47260, 25005, 240, 11972, 15682, 106347, 250, 53901, 25446, 16556, 33014, 102052, 30591, 109709, 114652, 100604, 115320, 64121, 53953, 19732, 117952, 33121, 100481, 79721, 29295, 5486, 105321, 19732, 118899, 77181, 124807, 76739, 67075, 8239, 114503, 71289, 64209, 26274, 241, 103429, 71289, 101171, 111, 124305, 16325, 5486, 105324, 107246, 32648, 116436, 111694, 16144, 121993, 112997, 29220, 16144, 103167, 17297, 104309, 103826, 104680, 26854, 126521, 8239, 114503, 30512, 32977, 127567, 17663, 105908, 78183, 126469, 50834, 79721, 1811, 86127, 32977, 47260, 25005, 240, 11972, 29295, 27384, 120111, 16556, 16, 9080, 18, 56040, 20, 109247, 115320, 104004, 105879, 106116, 105933, 126521, 8239, 114503, 29295, 121771, 98369, 101182, 115320, 64121, 53953, 118816, 53283, 76947, 30297, 33121, 106624, 91763, 76947, 61689, 1811, 66378, 20230, 111482, 105110, 47260, 25005, 240, 115247, 124807, 76739, 67075, 8239, 114503, 102677, 112973, 95221, 108176, 123253, 1811, 110382, 77181, 5486, 8239, 114503, 109904, 115320, 64121, 24273, 71289, 61633, 54926, 28542, 109853, 48154, 126362, 78434, 9174, 567, 68042, 25005, 240, 11972, 29295, 124807, 76739, 67075, 20230, 8239, 114503, 109904, 114667, 198, 26854, 112371, 47260, 25005, 240, 11972, 20230, 124807, 76739, 67075, 8239, 114503, 29295, 125494, 108608, 104865, 102677, 19732, 108048, 15682, 47260, 25005, 240, 11972, 102052, 71493, 111661, 76171, 19732, 110305, 42634, 105621, 16073, 108602, 102677, 13153, 17620, 29295, 96412, 17129, 115032, 55031, 38641, 9174, 71493, 111661, 76171, 102052, 88852, 120950, 8239, 114503, 115991, 33541, 9174, 118075, 116196, 224, 57942, 103, 17620, 50338, 100845, 113, 72238, 30512, 76706, 102404, 117657, 198, 119560, 108350, 17920, 236, 31640, 118835, 30512, 109415, 30369, 198, 126892, 110045, 20251, 107840, 8239, 114503, 198, 49412, 96, 108791, 32131, 107840, 8239, 114503, 198, 14711, 220, 118075, 116196, 224, 57942, 103, 17620, 50338, 100845, 113, 72238, 30512, 76706, 102404, 117657, 198, 71493, 111661, 76171, 15682, 33014, 32943, 20230, 107246, 110226, 84389, 104533, 5486, 164, 90279, 26274, 241, 55031, 17620, 14888, 234, 107001, 121496, 57942, 103, 17620, 50338, 100845, 113, 72238, 7, 37823, 80805, 38248, 120, 8, 30512, 76706, 102404, 20230, 124545, 8239, 114503, 115991, 33541, 1811, 37823, 80805, 38248, 120, 29295, 76706, 102404, 20230, 122502, 47884, 118733, 5486, 121496, 105284, 16144, 31640, 118835, 30512, 113096, 17663, 105908, 125545, 9174, 14711, 220, 119560, 108350, 17920, 236, 31640, 118835, 30512, 109415, 30369, 198, 71493, 111661, 76171, 102052, 104473, 36651, 30512, 26955, 94, 105714 ]
[ 124545, 113266, 115991, 5486, 104473, 23039, 30512, 113096, 103130, 107726, 38144, 120700, 33541, 1811, 104473, 23039, 29295, 103424, 115737, 104533, 106142, 58942, 34171, 29295, 23226, 106594, 116216, 5486, 33014, 104840, 15682, 45736, 115737, 31431, 5486, 75146, 17920, 236, 31640, 118835, 29295, 115442, 31431, 33541, 1811, 33014, 104840, 29295, 16, 27479, 115442, 30369, 121142, 33420, 106382, 71493, 42634, 102540, 15682, 1032, 4, 32977, 45736, 115737, 104533, 117952, 115032, 105879, 5486, 109683, 19732, 101576, 102, 72342, 126172, 16995, 33014, 105284, 117657, 105908, 125545, 9174, 14711, 220, 126892, 110045, 20251, 107840, 8239, 114503, 198, 71493, 111661, 76171, 102052, 60632, 126017, 113266, 107407, 105879, 5486, 33014, 20230, 36117, 250, 17129, 106358, 92877, 25766, 225, 53953, 16144, 61056, 20834, 30512, 113096, 17663, 105908, 103082, 5486, 104004, 47884, 64121, 16144, 50338, 33420, 105352, 103721, 233, 29295, 31431, 33541, 9174, 14711, 220, 49412, 96, 108791, 32131, 107840, 8239, 114503, 198, 47260, 25005, 240, 11972, 30512, 115320, 104004, 19732, 103927, 26269, 117408, 120208, 108176, 123253, 109900, 15682, 47260, 25005, 240, 115247, 102765, 112586, 37823, 32131, 107840, 8239, 114503, 107407, 55031, 38641, 1811, 124807, 76739, 67075, 16325, 15682, 71634, 108744, 29295, 36117, 250, 109709, 126172, 47884, 106116, 113702, 5486, 30775, 104, 108881, 39926, 59739, 16995, 125764, 103188, 105557, 38144, 114732, 102677, 100909, 105352, 103721, 233, 29295, 31431, 33541, 1811, 47260, 25005, 240, 11972, 30512, 115320, 104004, 118733, 5486, 71634, 108744, 30512, 117355, 114485, 107726, 38144, 5486, 124807, 76739, 67075, 30512, 120321, 106307, 107726, 126172, 115737, 31431, 33541, 9174, 110305, 42634, 105621, 16073, 108602, 15682, 89154, 37823, 111661, 101335, 64178, 112028, 104091, 38641, 1811, 47260, 25005, 240, 115247, 106782, 238, 39135, 16144, 39135, 71289, 107202, 103868, 16144, 24186, 15682, 110305, 42634, 105621, 16073, 108602, 16556, 5486, 47260, 25005, 240, 115247, 13153, 17620, 16144, 20, 56040, 605, 4, 30512, 108928, 107436, 61689, 9174, 110305, 42634, 105621, 16073, 108602, 15682, 5486, 117587, 105284, 30512, 17620, 50338, 54926, 100845, 113, 72238, 16144, 122502, 50834, 30512, 114632, 104698, 54926, 105908, 108608, 105879, 5486, 117587, 105284, 16144, 107246, 110226, 30512, 126128, 105262, 105908, 103082, 5486, 102456, 123470, 105047, 106266, 26854, 104473, 117587, 112603, 120938, 123716, 30512, 103181, 104699, 105908, 125545, 1811, 122270, 5486, 33014, 20230, 36117, 250, 17129, 103836, 121496, 57942, 103, 19732, 102456, 30926, 16556, 99046, 224, 18655, 56051, 121496, 57942, 103, 16144, 114887, 123307, 30512, 113096, 103130, 124545, 8239, 114503, 32977, 57903, 33541, 9174, 567, 68042, 25005, 240, 115247, 8239, 114503, 109904, 115320, 64121, 24273, 198, 47260, 25005, 240, 11972, 15682, 102456, 123090, 115320, 104004, 112973, 8239, 114503, 9554, 38641, 9174, 26854, 112371, 105110, 5486, 47260, 25005, 240, 11972, 30512, 115320, 104004, 30926, 16556, 5486, 104473, 117587, 112603, 16144, 107246, 110226, 30512, 33354, 237, 71289, 111201, 54926, 105908, 103082, 5486, 102456, 30926, 16556, 99046, 224, 18655, 56051, 121496, 57942, 103, 30512, 33014, 20230, 105623, 226, 108882, 107726, 101860, 114887, 123307, 54926, 105908, 108608, 55031, 38641, 9174, 102456, 30926, 16144, 123090, 115320, 104004, 121142, 5486, 124807, 76739, 67075, 8239, 114503, 107407, 102677, 104468, 19732, 111243, 46034, 117355, 16556, 30297, 33121, 102800, 125651, 1811, 72661, 122270, 47260, 25005, 240, 115247, 124807, 76739, 67075, 8239, 114503, 30512, 102404, 127327, 107726, 106956, 102677, 107803, 102052, 5486, 47260, 25005, 240, 11972, 30512, 115320, 102189, 123470, 117401, 119279, 125683, 62004, 38641, 9174, 47260, 25005, 240, 11972, 102052, 121496, 57942, 103, 30512, 114887, 123307, 124545, 8239, 114503, 115991, 33541, 29295, 5486, 117401, 123410, 30926, 16556, 5486, 105755, 126120, 96455, 112535, 121496, 57942, 103, 30512, 114887, 123307, 124545, 105908, 125545, 9174, 117401, 123410, 82973, 119703, 102677, 107803, 102052, 5486, 103293, 16144, 20834, 114731, 25580, 71289, 5486, 118705, 24273, 16144, 56906, 114731, 112772, 115320, 104004, 30926, 16556, 5486, 33035, 114731, 82973, 29295, 109683, 19732, 31640, 118835, 122060, 20230, 103721, 233, 29295, 31431, 33541, 118855, 5486, 17701, 118959, 112772, 115320, 104004, 123017, 33334, 125683, 62004, 38641, 1811, 17701, 118959, 32977, 33014, 30512, 104840, 107436, 31640, 118835, 122060, 20230, 103721, 233, 29295, 31431, 33541, 29295, 47260, 25005, 240, 11972, 30512, 115320, 104004, 30926, 16556, 122270, 58426, 8239, 114503, 30512, 45736, 109315, 105908, 125545, 9174, 567, 68042, 25005, 240, 117697, 25197, 76739, 67075, 16144, 61633, 28542, 198, 47260, 25005, 240, 117697, 25197, 76739, 67075, 16556, 61633, 54926, 109335, 47260, 25005, 240, 11972, 15682, 103927, 67075, 16144, 110101, 48552, 43568, 117587, 16556, 115320, 104004, 100909, 38641, 1811, 111090, 118283, 25005, 240, 11972, 105352, 71493, 111661, 76171, 71289, 110305, 42634, 105621, 16073, 108602, 15682, 96412, 123606, 33541, 29295, 5486, 106142, 106956, 115320, 64121, 53953, 15682, 33014, 30512, 106142, 71289, 39926, 103801, 61689, 1811, 103927, 67075, 16556, 115320, 104004, 118733, 5486, 105755, 8239, 114503, 112535, 33014, 104840, 30512, 109415, 30369, 105908, 125545, 9174, 53900, 5486, 47260, 25005, 240, 11972, 15682, 103167, 71493, 42634, 102540, 26854, 123017, 124807, 76739, 67075, 121254, 119188, 120098, 38641, 1811, 110101, 48552, 105110, 71493, 42634, 102540, 15682, 124897, 29295, 5486, 101198, 125041, 71289, 120843, 117587, 30512, 17701, 104028, 118733, 71493, 42634, 102540, 29295, 45736, 115737, 31431, 33541, 109807, 113702, 5486, 89783, 82420, 26854, 71493, 42634, 102540, 30512, 99046, 224, 18655, 39926, 103801, 16995, 124807, 76739, 67075, 8239, 114503, 30512, 103167, 47884, 39926, 103801, 61689, 9174, 80539, 5486, 35894, 113351, 126101, 115320, 104004, 109335, 103851, 58942, 17129, 109954, 1811, 110305, 42634, 105621, 16073, 108602, 15682, 91939, 225, 101921, 116, 16144, 122502, 50834, 30512, 76706, 102404, 20230, 124545, 8239, 114503, 115991, 5486, 91939, 225, 108602, 16144, 17620, 14888, 234, 30512, 113096, 78434, 1811, 35894, 113351, 126101, 115320, 104004, 118733, 5486, 91939, 225, 32977, 28713, 33121, 71289, 91939, 225, 30512, 118448, 33503, 39926, 114732, 115789, 57903, 33541, 1811, 103293, 102456, 20230, 47260, 25005, 240, 11972, 30512, 115320, 104004, 110018, 105352, 127091, 102456, 115694, 55031, 115320, 104004, 104466, 103801, 109954, 9174, 71493, 111661, 76171, 16144, 114652, 53283, 125398, 122502, 50834, 103306, 5486, 120379, 95221, 30512, 112854, 33541, 102677, 102944, 115991, 33541, 109807, 103846, 5486, 81258, 121120, 19, 82973, 25580, 126328, 115320, 17129, 100604, 104466, 103801, 109954, 1811, 121120, 59739, 50834, 29295, 109161, 115737, 100472, 31431, 5486, 120379, 31431, 29295, 124834, 115737, 76947, 114732, 105908, 57903, 33541, 9174, 71493, 111661, 76171, 15682, 40526, 26274, 255, 71289, 127480, 16144, 105310, 81219, 64121, 16144, 113385, 115717, 33541, 1811, 47260, 25005, 240, 11972, 30512, 115320, 102189, 74482, 102052, 30297, 125001, 126198, 31431, 53610, 30512, 115320, 104004, 104466, 103801, 109954, 9174, 47260, 25005, 240, 117697, 25197, 76739, 67075, 15682, 102456, 74482, 71289, 117401, 112772, 115320, 104004, 121142, 104712, 105879, 19732, 111243, 112825, 110904, 125651, 118855, 5486, 110305, 42634, 105621, 16073, 108602, 15682, 89154, 37823, 111661, 101335, 64178, 112028, 104091, 38641, 1811, 89154, 37823, 111661, 101335, 64178, 15682, 117508, 48915, 101911, 111848, 120044, 16144, 99959, 126989, 30512, 103181, 104699, 8239, 114503, 71289, 127194, 78683, 113883, 45059, 30512, 126128, 105262, 8239, 114503, 32977, 101182, 103846, 5486, 57207, 102756, 71289, 57207, 101198, 16144, 103911, 103181, 71289, 23226, 106594, 105352, 8239, 114503, 9554, 38641, 9174, 124807, 76739, 67075, 8239, 114503, 20230, 21601, 107290, 58666, 120044, 8239, 114503, 32977, 101182, 47260, 25005, 240, 11972, 15682, 111482, 20230, 30297, 33121, 102800, 115320, 64121, 53953, 125651, 1811, 128001, 128000, 27929, 32977, 27929, 32977, 108436, 107430, 61826, 110162, 91774, 59739, 117295, 102189, 103950, 32149, 95532, 107943, 107750, 99397, 107898, 103899, 58942, 78434, 9174, 1758, 97049, 108436, 107430, 48249, 98220, 108323, 110162, 104655, 126145, 13177, 71289, 112043, 43568, 105037, 222, 26854, 104865, 26854, 108861, 66383, 127408, 108176, 32149, 110241, 33121, 107515, 9174, 67016, 21105, 103, 29295, 33503, 5486, 37087, 47884, 16937, 88367, 32149, 19732, 117952, 104028, 19732, 102131, 77181, 124897, 9174, 112418, 32977, 1272, 31640, 25580, 103268, 16556, 108436, 107430, 30512, 106613, 111186, 10110, 67016, 32977, 40265, 125344, 19361, 126120, 32018, 17792, 98406, 96455, 15682, 16, 98406, 30512, 102769, 107462, 79721, 7705, 15024, 5486, 53283, 17792, 71289, 117876, 30512, 33035, 100204, 111243, 1272, 31640, 16556, 108436, 107430, 103646, 24273, 30512, 43240, 47884, 91774, 38144, 50834, 79721, 9174, 22656, 77219, 77181, 13177, 21388, 113529, 21105, 103, 102334, 62004, 16144, 108167, 103214, 64121, 24273, 10646, 109853, 5486, 108436, 107430, 76739, 78767, 78349, 52414, 114172, 605, 8107, 71689, 16144, 112418, 29295, 116907, 16144, 106613, 111186, 32977, 39209, 58942, 50338, 108323, 78434, 9174, 18, 17620, 108680, 16556, 98499, 64121, 105721, 105262, 51330, 77219, 29295, 30591, 112568, 16144, 123120, 107294, 105722, 30369, 116497, 38641, 9174, 567, 116422, 112371, 1272, 31640, 16144, 108436, 107430, 29295, 43568, 105037, 222, 19732, 117952, 104028, 104865, 11571, 11144, 18, 118821, 114667, 112479, 1272, 31640, 16144, 108436, 107430, 15682, 99849, 32977, 115612, 26854, 100909, 77181, 124897, 9174, 37656, 102800, 108436, 107430, 112415, 117824, 116285, 5486, 108436, 107430, 54926, 109335, 114392, 88367, 38641, 9174, 107118, 16995, 58942, 5486, 43568, 105037, 222, 19732, 117952, 104028, 114667, 15682, 57903, 33541, 9174, 14711, 63091, 17620, 16144, 104736, 109375, 19732, 117903, 16144, 78525, 44971, 198, 108436, 107430, 61826, 16144, 77195, 9458, 75293, 110053, 30512, 102321, 107430, 30512, 75146, 107253, 20230, 113727, 104533, 78525, 44971, 29295, 21990, 100204, 33541, 9174, 122582, 30591, 112568, 29295, 85701, 103296, 20230, 108882, 64121, 109415, 38144, 105898, 103350, 116486, 9458, 8107, 9039, 29295, 21601, 70203, 110731, 55031, 38641, 9174, 123259, 114172, 102181, 9458, 107430, 102781, 106613, 114172, 102181, 104309, 16556, 106613, 111186, 71289, 103350, 116486, 5486, 22398, 62903, 33710, 15682, 114140, 125545, 29295, 120007, 55031, 112990, 39442, 53283, 9039, 38641, 9174, 114654, 48634, 71289, 57326, 77750, 32131, 101198, 94550, 22398, 62903, 33710, 104309, 78183, 107277, 126172, 16995, 102944, 16556, 107624, 95001, 107001, 126513, 78525, 44971, 32977, 83747, 123733, 31431, 33541, 29295, 108048, 116749, 118816, 112624, 28542, 107624, 95001, 107001, 109335, 111108, 102800, 123253, 9174, 65854, 114181, 109904, 102099, 106596, 29295, 103082, 126386, 110674, 108436, 107430, 112415, 30512, 27704, 62004, 104533, 5486, 108436, 107430, 117903, 122692, 17792, 103234, 95001, 112603, 104088, 125144, 76947, 114732, 103846, 21388, 113529, 39926, 114732, 16144, 38641, 9174, 14711, 111724, 106613, 111186, 112919, 78683, 106240, 119703, 198, 1272, 31640, 16556, 37087, 119064, 39442, 106613, 111186, 17620, 102212, 20230, 109933, 111999, 76428, 54926, 123017, 109688, 117126, 38641, 9174, 102677, 123017, 1272, 31640, 20230, 32018, 62004, 100934, 104468, 13177, 92776, 102669, 48634, 103306, 16144, 106613, 111186, 10646, 109860, 38641, 9174, 77913, 40862, 9554, 102052, 13177, 68759, 102750, 76428, 73590, 48634, 10646, 71289, 13177, 58426, 17620, 102212, 16144, 53283, 109375, 9458, 106613, 111186, 10646, 38641, 9174, 32977, 43514, 85791, 25827, 39442, 106613, 111186, 72661, 15722, 241, 109169, 16144, 101275, 98220, 32977, 57903, 33541, 9174, 27452, 116285, 13177, 75910, 106528, 107430, 59712, 16937, 91875, 106518, 116690, 59712, 104970, 104874, 10646, 104309, 38641, 9174, 77693, 116749, 16144, 101275, 98220, 5486, 107430, 104091, 77181, 39442, 106613, 111186, 30046, 20230, 104378, 123410, 105879, 30591, 104984, 105268, 112909, 19732, 78698, 105262, 114435, 29295, 102717, 19732, 124592, 123253, 9174, 1272, 31640, 16556, 39442, 106613, 111186, 17620, 102212, 30512, 71289, 31431, 106956, 102677, 118733, 30591, 104984, 110745, 111044, 26854, 110698, 58318, 99959, 115691, 19732, 108436, 107430, 112415, 16144, 101544, 23538, 33208, 15682, 112854, 125636, 29295, 109215, 38641, 9174, 14711, 113168, 95, 107430, 61826, 16556, 30297, 17129, 47884, 114516, 116690, 116825, 47884, 110615, 198, 105268, 16995, 101083, 31640, 127303, 104984, 91774, 28713, 30832, 104309, 16556, 31540, 103926, 29295, 110071, 109335, 101182, 123253, 9174, 67016, 21105, 251, 22957, 15682, 1272, 31640, 5486, 8107, 106036, 95, 30512, 30358, 101832, 28713, 106644, 58942, 16144, 80631, 104, 54656, 226, 30512, 96356, 20230, 123011, 76947, 61689, 9174, 112418, 105321, 32149, 15682, 30832, 59739, 50834, 29295, 30591, 109709, 57980, 85791, 106624, 100604, 103846, 30868, 247, 107462, 104533, 104371, 47523, 32335, 109161, 16556, 56051, 9174, 107943, 1272, 31640, 29295, 53283, 110104, 17792, 36785, 33503, 76622, 16144, 107430, 75267, 20230, 107850, 102802, 104526, 104004, 113334, 26854, 105879, 108010, 34208, 99750, 112624, 107121, 38641, 9174, 67016, 32977, 102717, 19732, 124592, 29295, 8107, 17297, 102677, 107803, 32977, 57903, 33541, 9174, 105037, 247, 115534, 20230, 72238, 74245, 113115, 106608, 103082, 38144, 115289, 122279, 34171, 32977, 101182, 16144, 105110, 27384, 121313, 123253, 9174, 80673, 8107, 17297, 109860, 19732, 119852, 113797, 27384, 26854, 107328, 27479, 30512, 18655, 100472, 31431, 5486, 25580, 107430, 16144, 71289, 31431, 24273, 20230, 22957, 36785, 78183, 100472, 31431, 112990, 108038, 20230, 111179, 50834, 33541, 9174, 66378, 20230, 85701, 103296, 127637, 32977, 108436, 107430, 126198, 105908, 100604, 104328, 107118, 31634, 61633, 38641, 9174, 110382, 16556, 59739, 126843, 47884, 125396, 29295, 27384, 38641, 9174, 108436, 107430, 112990, 108270, 42634, 55031, 114516, 116690, 30512, 106391, 113638, 54926, 111108, 21105, 243, 55031, 5486, 1272, 31640, 16144, 108436, 107430, 15682, 43568, 105037, 222, 19732, 117952, 115032, 105879, 109954, 9174, 567, 113168, 95, 107430, 30512, 19653, 124545, 124122, 64209, 106391, 58942, 198, 14711, 74662, 107430, 56051, 110674, 112415, 123410, 198, 1272, 31640, 16556, 108436, 107430, 123410, 105879, 30591, 104984, 19000, 107430, 126867, 71289, 31431, 17129, 109954, 9174, 110226, 17701, 29295, 108968, 115924, 58942, 100934, 121894, 118816, 13177, 105994, 20230, 105693, 114435, 118587, 102647, 104369, 105908, 106084, 123733, 31431, 33541, 9174, 32977, 43514, 85791, 25827, 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 ]
[ 124545, 113266, 115991, 5486, 104473, 23039, 30512, 113096, 103130, 107726, 38144, 120700, 33541, 1811, 104473, 23039, 29295, 103424, 115737, 104533, 106142, 58942, 34171, 29295, 23226, 106594, 116216, 5486, 33014, 104840, 15682, 45736, 115737, 31431, 5486, 75146, 17920, 236, 31640, 118835, 29295, 115442, 31431, 33541, 1811, 33014, 104840, 29295, 16, 27479, 115442, 30369, 121142, 33420, 106382, 71493, 42634, 102540, 15682, 1032, 4, 32977, 45736, 115737, 104533, 117952, 115032, 105879, 5486, 109683, 19732, 101576, 102, 72342, 126172, 16995, 33014, 105284, 117657, 105908, 125545, 9174, 14711, 220, 126892, 110045, 20251, 107840, 8239, 114503, 198, 71493, 111661, 76171, 102052, 60632, 126017, 113266, 107407, 105879, 5486, 33014, 20230, 36117, 250, 17129, 106358, 92877, 25766, 225, 53953, 16144, 61056, 20834, 30512, 113096, 17663, 105908, 103082, 5486, 104004, 47884, 64121, 16144, 50338, 33420, 105352, 103721, 233, 29295, 31431, 33541, 9174, 14711, 220, 49412, 96, 108791, 32131, 107840, 8239, 114503, 198, 47260, 25005, 240, 11972, 30512, 115320, 104004, 19732, 103927, 26269, 117408, 120208, 108176, 123253, 109900, 15682, 47260, 25005, 240, 115247, 102765, 112586, 37823, 32131, 107840, 8239, 114503, 107407, 55031, 38641, 1811, 124807, 76739, 67075, 16325, 15682, 71634, 108744, 29295, 36117, 250, 109709, 126172, 47884, 106116, 113702, 5486, 30775, 104, 108881, 39926, 59739, 16995, 125764, 103188, 105557, 38144, 114732, 102677, 100909, 105352, 103721, 233, 29295, 31431, 33541, 1811, 47260, 25005, 240, 11972, 30512, 115320, 104004, 118733, 5486, 71634, 108744, 30512, 117355, 114485, 107726, 38144, 5486, 124807, 76739, 67075, 30512, 120321, 106307, 107726, 126172, 115737, 31431, 33541, 9174, 110305, 42634, 105621, 16073, 108602, 15682, 89154, 37823, 111661, 101335, 64178, 112028, 104091, 38641, 1811, 47260, 25005, 240, 115247, 106782, 238, 39135, 16144, 39135, 71289, 107202, 103868, 16144, 24186, 15682, 110305, 42634, 105621, 16073, 108602, 16556, 5486, 47260, 25005, 240, 115247, 13153, 17620, 16144, 20, 56040, 605, 4, 30512, 108928, 107436, 61689, 9174, 110305, 42634, 105621, 16073, 108602, 15682, 5486, 117587, 105284, 30512, 17620, 50338, 54926, 100845, 113, 72238, 16144, 122502, 50834, 30512, 114632, 104698, 54926, 105908, 108608, 105879, 5486, 117587, 105284, 16144, 107246, 110226, 30512, 126128, 105262, 105908, 103082, 5486, 102456, 123470, 105047, 106266, 26854, 104473, 117587, 112603, 120938, 123716, 30512, 103181, 104699, 105908, 125545, 1811, 122270, 5486, 33014, 20230, 36117, 250, 17129, 103836, 121496, 57942, 103, 19732, 102456, 30926, 16556, 99046, 224, 18655, 56051, 121496, 57942, 103, 16144, 114887, 123307, 30512, 113096, 103130, 124545, 8239, 114503, 32977, 57903, 33541, 9174, 567, 68042, 25005, 240, 115247, 8239, 114503, 109904, 115320, 64121, 24273, 198, 47260, 25005, 240, 11972, 15682, 102456, 123090, 115320, 104004, 112973, 8239, 114503, 9554, 38641, 9174, 26854, 112371, 105110, 5486, 47260, 25005, 240, 11972, 30512, 115320, 104004, 30926, 16556, 5486, 104473, 117587, 112603, 16144, 107246, 110226, 30512, 33354, 237, 71289, 111201, 54926, 105908, 103082, 5486, 102456, 30926, 16556, 99046, 224, 18655, 56051, 121496, 57942, 103, 30512, 33014, 20230, 105623, 226, 108882, 107726, 101860, 114887, 123307, 54926, 105908, 108608, 55031, 38641, 9174, 102456, 30926, 16144, 123090, 115320, 104004, 121142, 5486, 124807, 76739, 67075, 8239, 114503, 107407, 102677, 104468, 19732, 111243, 46034, 117355, 16556, 30297, 33121, 102800, 125651, 1811, 72661, 122270, 47260, 25005, 240, 115247, 124807, 76739, 67075, 8239, 114503, 30512, 102404, 127327, 107726, 106956, 102677, 107803, 102052, 5486, 47260, 25005, 240, 11972, 30512, 115320, 102189, 123470, 117401, 119279, 125683, 62004, 38641, 9174, 47260, 25005, 240, 11972, 102052, 121496, 57942, 103, 30512, 114887, 123307, 124545, 8239, 114503, 115991, 33541, 29295, 5486, 117401, 123410, 30926, 16556, 5486, 105755, 126120, 96455, 112535, 121496, 57942, 103, 30512, 114887, 123307, 124545, 105908, 125545, 9174, 117401, 123410, 82973, 119703, 102677, 107803, 102052, 5486, 103293, 16144, 20834, 114731, 25580, 71289, 5486, 118705, 24273, 16144, 56906, 114731, 112772, 115320, 104004, 30926, 16556, 5486, 33035, 114731, 82973, 29295, 109683, 19732, 31640, 118835, 122060, 20230, 103721, 233, 29295, 31431, 33541, 118855, 5486, 17701, 118959, 112772, 115320, 104004, 123017, 33334, 125683, 62004, 38641, 1811, 17701, 118959, 32977, 33014, 30512, 104840, 107436, 31640, 118835, 122060, 20230, 103721, 233, 29295, 31431, 33541, 29295, 47260, 25005, 240, 11972, 30512, 115320, 104004, 30926, 16556, 122270, 58426, 8239, 114503, 30512, 45736, 109315, 105908, 125545, 9174, 567, 68042, 25005, 240, 117697, 25197, 76739, 67075, 16144, 61633, 28542, 198, 47260, 25005, 240, 117697, 25197, 76739, 67075, 16556, 61633, 54926, 109335, 47260, 25005, 240, 11972, 15682, 103927, 67075, 16144, 110101, 48552, 43568, 117587, 16556, 115320, 104004, 100909, 38641, 1811, 111090, 118283, 25005, 240, 11972, 105352, 71493, 111661, 76171, 71289, 110305, 42634, 105621, 16073, 108602, 15682, 96412, 123606, 33541, 29295, 5486, 106142, 106956, 115320, 64121, 53953, 15682, 33014, 30512, 106142, 71289, 39926, 103801, 61689, 1811, 103927, 67075, 16556, 115320, 104004, 118733, 5486, 105755, 8239, 114503, 112535, 33014, 104840, 30512, 109415, 30369, 105908, 125545, 9174, 53900, 5486, 47260, 25005, 240, 11972, 15682, 103167, 71493, 42634, 102540, 26854, 123017, 124807, 76739, 67075, 121254, 119188, 120098, 38641, 1811, 110101, 48552, 105110, 71493, 42634, 102540, 15682, 124897, 29295, 5486, 101198, 125041, 71289, 120843, 117587, 30512, 17701, 104028, 118733, 71493, 42634, 102540, 29295, 45736, 115737, 31431, 33541, 109807, 113702, 5486, 89783, 82420, 26854, 71493, 42634, 102540, 30512, 99046, 224, 18655, 39926, 103801, 16995, 124807, 76739, 67075, 8239, 114503, 30512, 103167, 47884, 39926, 103801, 61689, 9174, 80539, 5486, 35894, 113351, 126101, 115320, 104004, 109335, 103851, 58942, 17129, 109954, 1811, 110305, 42634, 105621, 16073, 108602, 15682, 91939, 225, 101921, 116, 16144, 122502, 50834, 30512, 76706, 102404, 20230, 124545, 8239, 114503, 115991, 5486, 91939, 225, 108602, 16144, 17620, 14888, 234, 30512, 113096, 78434, 1811, 35894, 113351, 126101, 115320, 104004, 118733, 5486, 91939, 225, 32977, 28713, 33121, 71289, 91939, 225, 30512, 118448, 33503, 39926, 114732, 115789, 57903, 33541, 1811, 103293, 102456, 20230, 47260, 25005, 240, 11972, 30512, 115320, 104004, 110018, 105352, 127091, 102456, 115694, 55031, 115320, 104004, 104466, 103801, 109954, 9174, 71493, 111661, 76171, 16144, 114652, 53283, 125398, 122502, 50834, 103306, 5486, 120379, 95221, 30512, 112854, 33541, 102677, 102944, 115991, 33541, 109807, 103846, 5486, 81258, 121120, 19, 82973, 25580, 126328, 115320, 17129, 100604, 104466, 103801, 109954, 1811, 121120, 59739, 50834, 29295, 109161, 115737, 100472, 31431, 5486, 120379, 31431, 29295, 124834, 115737, 76947, 114732, 105908, 57903, 33541, 9174, 71493, 111661, 76171, 15682, 40526, 26274, 255, 71289, 127480, 16144, 105310, 81219, 64121, 16144, 113385, 115717, 33541, 1811, 47260, 25005, 240, 11972, 30512, 115320, 102189, 74482, 102052, 30297, 125001, 126198, 31431, 53610, 30512, 115320, 104004, 104466, 103801, 109954, 9174, 47260, 25005, 240, 117697, 25197, 76739, 67075, 15682, 102456, 74482, 71289, 117401, 112772, 115320, 104004, 121142, 104712, 105879, 19732, 111243, 112825, 110904, 125651, 118855, 5486, 110305, 42634, 105621, 16073, 108602, 15682, 89154, 37823, 111661, 101335, 64178, 112028, 104091, 38641, 1811, 89154, 37823, 111661, 101335, 64178, 15682, 117508, 48915, 101911, 111848, 120044, 16144, 99959, 126989, 30512, 103181, 104699, 8239, 114503, 71289, 127194, 78683, 113883, 45059, 30512, 126128, 105262, 8239, 114503, 32977, 101182, 103846, 5486, 57207, 102756, 71289, 57207, 101198, 16144, 103911, 103181, 71289, 23226, 106594, 105352, 8239, 114503, 9554, 38641, 9174, 124807, 76739, 67075, 8239, 114503, 20230, 21601, 107290, 58666, 120044, 8239, 114503, 32977, 101182, 47260, 25005, 240, 11972, 15682, 111482, 20230, 30297, 33121, 102800, 115320, 64121, 53953, 125651, 1811, 128001, 128000, 27929, 32977, 27929, 32977, 108436, 107430, 61826, 110162, 91774, 59739, 117295, 102189, 103950, 32149, 95532, 107943, 107750, 99397, 107898, 103899, 58942, 78434, 9174, 1758, 97049, 108436, 107430, 48249, 98220, 108323, 110162, 104655, 126145, 13177, 71289, 112043, 43568, 105037, 222, 26854, 104865, 26854, 108861, 66383, 127408, 108176, 32149, 110241, 33121, 107515, 9174, 67016, 21105, 103, 29295, 33503, 5486, 37087, 47884, 16937, 88367, 32149, 19732, 117952, 104028, 19732, 102131, 77181, 124897, 9174, 112418, 32977, 1272, 31640, 25580, 103268, 16556, 108436, 107430, 30512, 106613, 111186, 10110, 67016, 32977, 40265, 125344, 19361, 126120, 32018, 17792, 98406, 96455, 15682, 16, 98406, 30512, 102769, 107462, 79721, 7705, 15024, 5486, 53283, 17792, 71289, 117876, 30512, 33035, 100204, 111243, 1272, 31640, 16556, 108436, 107430, 103646, 24273, 30512, 43240, 47884, 91774, 38144, 50834, 79721, 9174, 22656, 77219, 77181, 13177, 21388, 113529, 21105, 103, 102334, 62004, 16144, 108167, 103214, 64121, 24273, 10646, 109853, 5486, 108436, 107430, 76739, 78767, 78349, 52414, 114172, 605, 8107, 71689, 16144, 112418, 29295, 116907, 16144, 106613, 111186, 32977, 39209, 58942, 50338, 108323, 78434, 9174, 18, 17620, 108680, 16556, 98499, 64121, 105721, 105262, 51330, 77219, 29295, 30591, 112568, 16144, 123120, 107294, 105722, 30369, 116497, 38641, 9174, 567, 116422, 112371, 1272, 31640, 16144, 108436, 107430, 29295, 43568, 105037, 222, 19732, 117952, 104028, 104865, 11571, 11144, 18, 118821, 114667, 112479, 1272, 31640, 16144, 108436, 107430, 15682, 99849, 32977, 115612, 26854, 100909, 77181, 124897, 9174, 37656, 102800, 108436, 107430, 112415, 117824, 116285, 5486, 108436, 107430, 54926, 109335, 114392, 88367, 38641, 9174, 107118, 16995, 58942, 5486, 43568, 105037, 222, 19732, 117952, 104028, 114667, 15682, 57903, 33541, 9174, 14711, 63091, 17620, 16144, 104736, 109375, 19732, 117903, 16144, 78525, 44971, 198, 108436, 107430, 61826, 16144, 77195, 9458, 75293, 110053, 30512, 102321, 107430, 30512, 75146, 107253, 20230, 113727, 104533, 78525, 44971, 29295, 21990, 100204, 33541, 9174, 122582, 30591, 112568, 29295, 85701, 103296, 20230, 108882, 64121, 109415, 38144, 105898, 103350, 116486, 9458, 8107, 9039, 29295, 21601, 70203, 110731, 55031, 38641, 9174, 123259, 114172, 102181, 9458, 107430, 102781, 106613, 114172, 102181, 104309, 16556, 106613, 111186, 71289, 103350, 116486, 5486, 22398, 62903, 33710, 15682, 114140, 125545, 29295, 120007, 55031, 112990, 39442, 53283, 9039, 38641, 9174, 114654, 48634, 71289, 57326, 77750, 32131, 101198, 94550, 22398, 62903, 33710, 104309, 78183, 107277, 126172, 16995, 102944, 16556, 107624, 95001, 107001, 126513, 78525, 44971, 32977, 83747, 123733, 31431, 33541, 29295, 108048, 116749, 118816, 112624, 28542, 107624, 95001, 107001, 109335, 111108, 102800, 123253, 9174, 65854, 114181, 109904, 102099, 106596, 29295, 103082, 126386, 110674, 108436, 107430, 112415, 30512, 27704, 62004, 104533, 5486, 108436, 107430, 117903, 122692, 17792, 103234, 95001, 112603, 104088, 125144, 76947, 114732, 103846, 21388, 113529, 39926, 114732, 16144, 38641, 9174, 14711, 111724, 106613, 111186, 112919, 78683, 106240, 119703, 198, 1272, 31640, 16556, 37087, 119064, 39442, 106613, 111186, 17620, 102212, 20230, 109933, 111999, 76428, 54926, 123017, 109688, 117126, 38641, 9174, 102677, 123017, 1272, 31640, 20230, 32018, 62004, 100934, 104468, 13177, 92776, 102669, 48634, 103306, 16144, 106613, 111186, 10646, 109860, 38641, 9174, 77913, 40862, 9554, 102052, 13177, 68759, 102750, 76428, 73590, 48634, 10646, 71289, 13177, 58426, 17620, 102212, 16144, 53283, 109375, 9458, 106613, 111186, 10646, 38641, 9174, 32977, 43514, 85791, 25827, 39442, 106613, 111186, 72661, 15722, 241, 109169, 16144, 101275, 98220, 32977, 57903, 33541, 9174, 27452, 116285, 13177, 75910, 106528, 107430, 59712, 16937, 91875, 106518, 116690, 59712, 104970, 104874, 10646, 104309, 38641, 9174, 77693, 116749, 16144, 101275, 98220, 5486, 107430, 104091, 77181, 39442, 106613, 111186, 30046, 20230, 104378, 123410, 105879, 30591, 104984, 105268, 112909, 19732, 78698, 105262, 114435, 29295, 102717, 19732, 124592, 123253, 9174, 1272, 31640, 16556, 39442, 106613, 111186, 17620, 102212, 30512, 71289, 31431, 106956, 102677, 118733, 30591, 104984, 110745, 111044, 26854, 110698, 58318, 99959, 115691, 19732, 108436, 107430, 112415, 16144, 101544, 23538, 33208, 15682, 112854, 125636, 29295, 109215, 38641, 9174, 14711, 113168, 95, 107430, 61826, 16556, 30297, 17129, 47884, 114516, 116690, 116825, 47884, 110615, 198, 105268, 16995, 101083, 31640, 127303, 104984, 91774, 28713, 30832, 104309, 16556, 31540, 103926, 29295, 110071, 109335, 101182, 123253, 9174, 67016, 21105, 251, 22957, 15682, 1272, 31640, 5486, 8107, 106036, 95, 30512, 30358, 101832, 28713, 106644, 58942, 16144, 80631, 104, 54656, 226, 30512, 96356, 20230, 123011, 76947, 61689, 9174, 112418, 105321, 32149, 15682, 30832, 59739, 50834, 29295, 30591, 109709, 57980, 85791, 106624, 100604, 103846, 30868, 247, 107462, 104533, 104371, 47523, 32335, 109161, 16556, 56051, 9174, 107943, 1272, 31640, 29295, 53283, 110104, 17792, 36785, 33503, 76622, 16144, 107430, 75267, 20230, 107850, 102802, 104526, 104004, 113334, 26854, 105879, 108010, 34208, 99750, 112624, 107121, 38641, 9174, 67016, 32977, 102717, 19732, 124592, 29295, 8107, 17297, 102677, 107803, 32977, 57903, 33541, 9174, 105037, 247, 115534, 20230, 72238, 74245, 113115, 106608, 103082, 38144, 115289, 122279, 34171, 32977, 101182, 16144, 105110, 27384, 121313, 123253, 9174, 80673, 8107, 17297, 109860, 19732, 119852, 113797, 27384, 26854, 107328, 27479, 30512, 18655, 100472, 31431, 5486, 25580, 107430, 16144, 71289, 31431, 24273, 20230, 22957, 36785, 78183, 100472, 31431, 112990, 108038, 20230, 111179, 50834, 33541, 9174, 66378, 20230, 85701, 103296, 127637, 32977, 108436, 107430, 126198, 105908, 100604, 104328, 107118, 31634, 61633, 38641, 9174, 110382, 16556, 59739, 126843, 47884, 125396, 29295, 27384, 38641, 9174, 108436, 107430, 112990, 108270, 42634, 55031, 114516, 116690, 30512, 106391, 113638, 54926, 111108, 21105, 243, 55031, 5486, 1272, 31640, 16144, 108436, 107430, 15682, 43568, 105037, 222, 19732, 117952, 115032, 105879, 109954, 9174, 567, 113168, 95, 107430, 30512, 19653, 124545, 124122, 64209, 106391, 58942, 198, 14711, 74662, 107430, 56051, 110674, 112415, 123410, 198, 1272, 31640, 16556, 108436, 107430, 123410, 105879, 30591, 104984, 19000, 107430, 126867, 71289, 31431, 17129, 109954, 9174, 110226, 17701, 29295, 108968, 115924, 58942, 100934, 121894, 118816, 13177, 105994, 20230, 105693, 114435, 118587, 102647, 104369, 105908, 106084, 123733, 31431, 33541, 9174, 32977, 43514, 85791, 25827, 5486 ]
[ 17663, 103171, 111842, 104662, 17129, 104984, 104712, 16144, 119627, 101544, 23538, 33208, 56051, 126513, 106142, 106353, 77181, 16995, 102204, 107515, 9174, 122502, 50834, 106272, 118816, 82973, 29295, 18655, 110615, 32149, 110241, 33121, 107515, 9174, 72661, 108436, 107430, 76739, 78767, 78349, 52414, 125175, 30512, 107740, 126693, 50338, 33420, 125545, 9174, 92693, 16144, 125175, 16556, 66776, 121298, 32018, 17792, 32977, 126362, 39926, 124089, 105879, 30297, 17129, 47884, 76706, 11883, 103801, 109954, 9174, 14711, 45631, 37271, 10646, 126194, 13177, 85701, 55031, 117503, 106592, 78698, 105262, 198, 108436, 107430, 61826, 30512, 104662, 62004, 104533, 50834, 20230, 13177, 37271, 117503, 77195, 20230, 122416, 118146, 70141, 76622, 29295, 43514, 38641, 9174, 80673, 101544, 47884, 114731, 102781, 123410, 59739, 123731, 127303, 104984, 13177, 85701, 55031, 117503, 106592, 30358, 103984, 103801, 109954, 9174, 27452, 116285, 88852, 16144, 17, 118821, 32018, 114754, 105693, 19732, 78434, 9174, 32, 13, 110698, 58318, 15682, 102321, 107430, 19732, 42016, 109518, 1811, 117876, 44915, 15682, 105321, 110162, 108608, 116499, 54926, 198, 33, 13, 110698, 58318, 15682, 99959, 115691, 1811, 117876, 44915, 15682, 110526, 121640, 198, 102647, 104369, 105110, 64889, 61994, 33, 36785, 106046, 61689, 9174, 104654, 106382, 30512, 17297, 102639, 38144, 72661, 117876, 44915, 30512, 18655, 30369, 125231, 38641, 9174, 71289, 31431, 106956, 117876, 16144, 118881, 29295, 13153, 28873, 32977, 20834, 126172, 16995, 15024, 5486, 13153, 101544, 32977, 108608, 116497, 38641, 9174, 113702, 103306, 123716, 110698, 54926, 125396, 32977, 57903, 33541, 9174, 105184, 111201, 110698, 58318, 15682, 27384, 30926, 119627, 36896, 85701, 55031, 117503, 107391, 104612, 115376, 16144, 113009, 109431, 102769, 26854, 121507, 123410, 104466, 103801, 109954, 9174, 14711, 113168, 95, 107430, 61826, 77181, 17039, 17792, 198, 1272, 31640, 16556, 108436, 107430, 112990, 8107, 17297, 120938, 65743, 123017, 19732, 16556, 122502, 47884, 115789, 113727, 102204, 33541, 9174, 8107, 17860, 33144, 32218, 107809, 16556, 122502, 102532, 22957, 109115, 24273, 118816, 107202, 108631, 32149, 110241, 33121, 107515, 9174, 107118, 16995, 58942, 108436, 107430, 61826, 77181, 103350, 116486, 108270, 42634, 38641, 9174, 127177, 61337, 102351, 15682, 106613, 114172, 104699, 110706, 15682, 53283, 103836, 32149, 110241, 33121, 107515, 29295, 5486, 67645, 16144, 113314, 117876, 29295, 108608, 32149, 53283, 31431, 107515, 9174, 104004, 15024, 85791, 33334, 46034, 105360, 64121, 26955, 251, 91774, 102677, 64209, 103496, 32149, 32977, 38641, 9174, 58426, 103846, 17039, 107707, 120208, 16556, 13177, 105037, 247, 115534, 30813, 19732, 115289, 122279, 34171, 118587, 104195, 47884, 37689, 109375, 39926, 117271, 21105, 103, 118145, 16995, 76622, 107515, 9174, 114516, 116690, 29295, 30297, 17129, 47884, 106391, 113638, 106084, 38144, 127105, 117876, 16144, 80805, 108526, 108941, 107446, 32977, 30591, 29295, 31431, 33541, 9174, 61337, 32943, 77181, 17039, 107707, 105933, 72238, 74245, 26854, 117271, 16556, 117876, 15682, 109809, 115541, 16144, 22398, 62903, 33710, 16556, 103350, 116486, 19732, 22023, 117943, 30512, 25197, 78459, 55031, 108882, 64121, 109415, 100481, 50834, 17129, 109954, 9174, 14711, 107668, 102802, 106307, 105784, 110783, 110095, 198, 47260, 42634, 96452, 54656, 235, 16556, 104654, 105335, 106696, 16144, 104721, 33208, 55031, 91482, 76428, 102750, 22398, 117501, 32977, 30832, 17129, 104699, 30369, 106624, 104721, 33208, 127145, 9174, 85701, 103296, 16144, 40053, 109375, 71289, 53283, 109375, 29295, 33035, 11883, 21105, 103, 47884, 109020, 32149, 110241, 33121, 107515, 9174, 107943, 16325, 16556, 101083, 107809, 16144, 20251, 44971, 102860, 71289, 17039, 102800, 112113, 127359, 38248, 109, 67075, 109853, 53508, 231, 104195, 127145, 32149, 95532, 104721, 33208, 113115, 106608, 109768, 47884, 103846, 102052, 40053, 20230, 48864, 108710, 30512, 109768, 107188, 118145, 16995, 76622, 107515, 9174, 117876, 114556, 108826, 54926, 100909, 121142, 103470, 108285, 47884, 53283, 109375, 30512, 76171, 57326, 67075, 54926, 109215, 115991, 33541, 9174, 76171, 57326, 67075, 29295, 83747, 100604, 19732, 114392, 26854, 39880, 125916, 57326, 67075, 29295, 103082, 123733, 31431, 33541, 9174, 108436, 107430, 61826, 16556, 13153, 28873, 30512, 121406, 103846, 105352, 120321, 106307, 39926, 48864, 108710, 54926, 108710, 101557, 96, 30512, 96356, 107294, 76622, 17129, 109954, 9174, 567, 220, 1272, 31640, 16144, 108436, 107430, 15682, 111108, 102800, 198, 1272, 31640, 16144, 108436, 107430, 29295, 102131, 112825, 110904, 20230, 118544, 100604, 123017, 30926, 103350, 38641, 9174, 108436, 107430, 112415, 16144, 82973, 29295, 18655, 110615, 57980, 21909, 198, 51330, 104466, 108436, 107430, 112415, 16144, 85707, 23538, 38574, 106090, 55031, 109526, 241, 47884, 115789, 27384, 119178, 57903, 33541, 9174, 1272, 31640, 16144, 108436, 107430, 15682, 30591, 33503, 106644, 30369, 46034, 38574, 30512, 11883, 102532, 109134, 125231, 38641, 9174, 32018, 17792, 116229, 9458, 114435, 118935, 11883, 122481, 9458, 102040, 42634, 25005, 107, 105048, 9458, 108436, 107430, 76739, 78767, 78349, 52414, 125175, 9458, 53283, 17792, 126362, 198, 66378, 20230, 1272, 31640, 16144, 108436, 107430, 16556, 59614, 116156, 26854, 112973, 13177, 108436, 107430, 76739, 78767, 78349, 52414, 125175, 10646, 38641, 9174, 112418, 32977, 1272, 31640, 16556, 108436, 107430, 56051, 110018, 15682, 39850, 76171, 16556, 108436, 107430, 76739, 78767, 78349, 52414, 5486, 60868, 52884, 16556, 32018, 17792, 116229, 30512, 107740, 121256, 9174, 108436, 107430, 76739, 78767, 78349, 52414, 29295, 30591, 112568, 29295, 122502, 119188, 122756, 32018, 17792, 30512, 81742, 32943, 71289, 28190, 30177, 16144, 104873, 64531, 30512, 39926, 120700, 33541, 9174, 53900, 108285, 58655, 104309, 16556, 20834, 126386, 1272, 31640, 29295, 106608, 119890, 88367, 26854, 32018, 17792, 32977, 101182, 103846, 103550, 111983, 29295, 43240, 115737, 31431, 33541, 9174, 26854, 105879, 108729, 9554, 102052, 108436, 107430, 76739, 78767, 78349, 52414, 108695, 16144, 126913, 20230, 49988, 127397, 5486, 22398, 62903, 68759, 82973, 20230, 108436, 107430, 116229, 104309, 6109, 116229, 30512, 125894, 33655, 39926, 106608, 119890, 61826, 104088, 59739, 105784, 102083, 117201, 109954, 9174, 567, 113168, 95, 107430, 21105, 103, 16995, 102677, 122225, 32977, 39880, 37823, 38641, 198, 108436, 107430, 76739, 78767, 78349, 52414, 60868, 113649, 117718, 28190, 111813, 114475, 107441, 32018, 17792, 30512, 81742, 32943, 120837, 33503, 100472, 31431, 5486, 28190, 30177, 30512, 39926, 64121, 115926, 54926, 26854, 32149, 16556, 5486, 108436, 107430, 21105, 103, 16995, 102677, 122225, 32977, 39880, 37823, 38641, 9174, 99849, 32977, 123120, 72342, 101860, 20230, 13177, 1272, 31640, 16144, 108436, 107430, 15682, 43568, 105037, 222, 120572, 26854, 108861, 66383, 78244, 103836, 103378, 77181, 13153, 101544, 115991, 107515, 9174, 108436, 107430, 112415, 30512, 39926, 64121, 30369, 104023, 123120, 54926, 118733, 115515, 16144, 103350, 48634, 29295, 117903, 78683, 106240, 20230, 109948, 16995, 126386, 105908, 78183, 102518, 116497, 38641, 9174, 30591, 107118, 102780, 31431, 100604, 102944, 30512, 37271, 74482, 104405, 54926, 104865, 33671, 30537, 38641, 9174, 48864, 108710, 30512, 39926, 121453, 28713, 26854, 53283, 109375, 30512, 76706, 32149, 39926, 85701, 103296, 16144, 117876, 16556, 22398, 62903, 33710, 30512, 110137, 81219, 109768, 47884, 9174, 107943, 50834, 42891, 126929, 108176, 105879, 30591, 104984, 108436, 107430, 112415, 30512, 108968, 16325, 16556, 82533, 109315, 123017, 39880, 37823, 38641, 9174, 567, 220, 123011, 62004, 5232, 123120, 126693, 13153, 101544, 108608, 198, 118544, 29295, 16556, 56051, 123253, 32149, 95532, 1272, 31640, 16144, 108436, 107430, 16556, 21388, 113529, 21105, 103, 102334, 62004, 16144, 108167, 103214, 64121, 24273, 109853, 50338, 108323, 121256, 9174, 108436, 107430, 30512, 78698, 107290, 5486, 82973, 16144, 106613, 103188, 19732, 107173, 20230, 13177, 17129, 108861, 5486, 21105, 108, 124749, 103826, 45829, 64121, 101200, 66383, 99849, 32977, 123120, 72342, 101860, 115847, 103296, 19732, 112361, 104466, 122502, 47884, 112973, 15120, 87217, 126843, 16995, 38641, 9174, 108436, 107430, 30512, 78698, 105262, 108680, 26854, 105879, 123120, 17663, 125231, 38641, 9174, 103350, 104983, 20230, 108436, 107430, 112415, 123410, 5486, 102321, 103397, 30512, 104721, 105262, 121837, 123410, 104309, 123120, 16144, 61826, 20230, 13153, 101544, 115991, 33541, 9174, 27452, 58942, 77693, 29295, 21388, 113529, 56051, 103306, 32977, 38641, 9174, 30591, 19732, 508, 21909, 966, 8107, 15682, 122502, 47884, 100909, 108176, 103846, 5486, 102321, 103397, 109205, 69978, 16556, 71289, 31431, 103188, 48154, 17663, 109335, 91062, 37823, 38641, 9174, 30591, 112568, 29295, 13153, 101544, 108608, 124122, 123120, 30512, 106084, 30369, 100909, 55031, 27704, 62004, 17129, 109954, 1811, 128001, 128000, 567, 108295, 100204, 62004, 20230, 198, 80805, 33710, 102494, 125380, 15682, 19361, 126120, 13153, 17620, 99695, 68759, 106384, 110101, 84477, 16144, 106384, 110101, 84477, 39276, 45736, 121496, 104473, 111571, 71005, 109519, 117434, 38641, 9174, 122013, 34171, 45736, 47260, 44971, 106826, 42634, 64178, 104473, 111571, 30512, 96412, 104004, 122603, 121496, 104473, 111571, 16144, 71005, 109519, 20230, 11883, 16995, 102204, 33541, 9174, 37271, 18904, 15682, 5486, 80805, 33710, 102494, 125380, 16144, 8239, 114503, 126120, 27327, 5486, 106966, 113266, 71289, 61633, 28542, 109853, 126362, 78434, 9174, 567, 112562, 33671, 198, 80805, 33710, 102494, 125380, 76947, 67645, 103171, 117434, 95532, 80805, 33710, 102494, 125380, 76947, 99849, 16144, 103429, 95221, 20230, 33655, 105262, 16144, 95532, 80805, 33710, 102494, 125380, 76947, 104405, 125338, 126120, 119064, 95532, 80805, 33710, 102494, 125380, 16144, 108936, 109904, 33655, 30297, 33857, 19732, 18904, 9039, 198, 80805, 33710, 102494, 125380, 16144, 106966, 113266, 198, 80805, 33710, 102494, 125380, 16556, 95221, 30512, 47000, 105784, 109335, 95532, 80805, 33710, 102494, 125380, 16144, 109531, 102750, 37823, 48552, 10110, 11010, 7705, 76947, 101182, 16144, 95532, 80805, 33710, 102494, 125380, 16144, 23530, 114622, 117434, 10110, 1831, 34, 7705, 76947, 101182, 16144, 95532, 123011, 62004, 198, 97518, 89046, 54926, 108134, 198, 567, 110138, 33710, 102494, 125380, 76947, 67645, 103171, 117434, 95532, 80805, 33710, 102494, 125380, 15682, 19361, 126120, 13153, 17620, 99695, 68759, 106384, 110101, 84477, 16144, 45736, 121496, 104473, 111571, 71005, 109519, 117434, 38641, 9174, 106384, 110101, 84477, 39276, 16144, 45736, 121496, 104473, 111571, 71005, 109519, 117434, 20230, 17620, 104770, 84389, 33541, 9174, 102433, 77181, 5486, 81191, 20713, 66115, 8107, 60596, 9953, 20230, 122626, 29295, 111671, 84389, 79721, 9174, 126120, 27327, 102420, 15682, 8239, 114503, 198, 45736, 121496, 104473, 111571, 7, 122013, 34171, 30512, 96412, 104004, 340, 126120, 27327, 102420, 15682, 8239, 114503, 114556, 89046, 54926, 38129, 17905, 16144, 61633, 198, 12615, 43, 12, 47260, 44971, 106826, 42634, 64178, 116771, 29295, 126574, 45736, 121496, 104473, 111571, 113115, 15024, 5486, 103983, 121507, 117434, 107118, 21105, 103, 16995, 100909, 9174, 117811, 5232, 80805, 33710, 102494, 125380, 91779, 254, 15, 13, 16, 12591, 6704, 35911, 47000, 17161, 102181, 198, 567, 110138, 33710, 102494, 125380, 76947, 99849, 16144, 103429, 95221, 20230, 33655, 105262, 16144, 95532, 45736, 121496, 104473, 111571, 15682, 5486, 112599, 13177, 121496, 105284, 108901, 40053, 111571, 66383, 127173, 115032, 103429, 95221, 38641, 9174, 121496, 105284, 108901, 40053, 111571, 15682, 5486, 17297, 61304, 16144, 77195, 30512, 115303, 59739, 72661, 64121, 28713, 17663, 19732, 106116, 104466, 120761, 64889, 84389, 33541, 9174, 12, 63923, 105, 123570, 124597, 47260, 44971, 106826, 42634, 64178, 5232, 20713, 46702, 27113, 127881, 15755, 229, 14, 15755, 226, 43, 71689, 198, 12, 108613, 37823, 41758, 37823, 64810, 102803, 45923, 10110, 16325, 34171, 121496, 57942, 103, 123407, 20713, 44597, 27113, 127881, 15755, 229, 14, 15755, 226, 43, 71689, 198, 12, 63923, 101, 123570, 124597, 47260, 44971, 106826, 42634, 64178, 5232, 46702, 27113, 127881, 15755, 229, 14, 15755, 226, 43, 39442, 112624, 198, 12615, 43, 47260, 57933, 106826, 42634, 64178, 15682, 5486, 109161, 106157, 47260, 44971, 106826, 42634, 64178, 107173, 57980, 81219, 33121, 5486, 39, 16931, 47260, 44971, 106826, 42634, 64178, 15682, 106594, 106157, 47260, 44971, 106826, 42634, 64178, 107173, 127173, 33121, 33541, 9174, 109161, 106157, 47260, 44971, 106826, 42634, 64178, 29295, 127181, 108680, 5486, 53900, 106594, 106157, 47260, 44971, 106826, 42634, 64178, 29295, 83747, 100604, 108680, 109161, 16995, 102677, 100909, 115717, 33541, 9174, 13177, 45736, 121496, 104473, 111571, 10646, 118816, 5486, 106594, 106157, 47260, 44971, 106826, 42634, 64178, 29295, 83747, 100604, 108680, 109161, 16995, 102677, 110115, 100543, 249, 16555, 122, 54926, 105879, 36896, 121496, 105284, 108901, 40053, 111571, 66383, 127173, 104028, 100909, 110276, 102677, 124858, 115991, 33541, 9174, 47260, 44971, 106826, 42634, 64178, 19732, 16325, 34171, 121496, 57942, 103, 16144, 107734, 111017, 30512, 112825, 110904, 20230, 122984, 109768, 50834, 33541, 9174, 47260, 44971, 106826, 42634, 64178, 121270, 34171, 121496, 57942, 103, 107173, 20230, 5486, 33014, 20230, 104698, 30512, 58318, 58942, 102131, 20230, 117952, 104028, 105908, 127181, 119627, 5486, 107943, 109335, 124897, 9174, 104004, 15024, 85791, 5486, 109215, 109947, 124490, 26854, 48706, 38641, 9174, 16325, 34171, 121496, 57942, 103, 15682, 5486, 118958, 112415, 16144, 76739, 124643, 104603, 11972, 39084, 121711, 33541, 9174, 47260, 44971, 106826, 42634, 64178, 15682, 5486, 103927, 33710, 102494, 113883, 53229, 42506, 110276, 31431, 5486, 104398, 112506, 115716, 16144, 89753, 91875, 34171, 30512, 47260, 52414, 42634, 64178, 15024, 5486, 104398, 112506, 16144, 121432, 109205, 69978, 20230, 109215, 38641, 9174, 16325, 34171, 121496, 57942, 103, 15682, 5486, 102456, 30926, 55031, 36668, 20230, 99046, 224, 18655, 54926, 105879, 5486, 33420, 33208, 36651, 16556, 107246, 110226, 84389, 5486, 57942, 251, 26274, 241, 71289, 119049, 107079, 121606, 20230, 103768, 81219, 33121, 33541, 9174, 90620, 5486, 121496, 57942, 103, 15682, 104754, 17620, 26854, 105879, 5486, 104473, 107654, 16325, 30512, 58426, 110674, 77181, 33035, 30369, 105908, 103082, 107515, 9174, 110924, 16556, 76706, 109526, 235, 54926, 112973, 5486, 37823, 89154, 111678, 101828, 38641, 9174, 37823, 89154, 111678, 101828, 15682, 5486, 106759, 104754, 34171, 19732, 106759, 53610, 34171, 30512, 114196, 101832, 104874, 107290, 108086, 121270, 34171, 121496, 57942, 103 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 103171, 111842, 104662, 17129, 104984, 104712, 16144, 119627, 101544, 23538, 33208, 56051, 126513, 106142, 106353, 77181, 16995, 102204, 107515, 9174, 122502, 50834, 106272, 118816, 82973, 29295, 18655, 110615, 32149, 110241, 33121, 107515, 9174, 72661, 108436, 107430, 76739, 78767, 78349, 52414, 125175, 30512, 107740, 126693, 50338, 33420, 125545, 9174, 92693, 16144, 125175, 16556, 66776, 121298, 32018, 17792, 32977, 126362, 39926, 124089, 105879, 30297, 17129, 47884, 76706, 11883, 103801, 109954, 9174, 14711, 45631, 37271, 10646, 126194, 13177, 85701, 55031, 117503, 106592, 78698, 105262, 198, 108436, 107430, 61826, 30512, 104662, 62004, 104533, 50834, 20230, 13177, 37271, 117503, 77195, 20230, 122416, 118146, 70141, 76622, 29295, 43514, 38641, 9174, 80673, 101544, 47884, 114731, 102781, 123410, 59739, 123731, 127303, 104984, 13177, 85701, 55031, 117503, 106592, 30358, 103984, 103801, 109954, 9174, 27452, 116285, 88852, 16144, 17, 118821, 32018, 114754, 105693, 19732, 78434, 9174, 32, 13, 110698, 58318, 15682, 102321, 107430, 19732, 42016, 109518, 1811, 117876, 44915, 15682, 105321, 110162, 108608, 116499, 54926, 198, 33, 13, 110698, 58318, 15682, 99959, 115691, 1811, 117876, 44915, 15682, 110526, 121640, 198, 102647, 104369, 105110, 64889, 61994, 33, 36785, 106046, 61689, 9174, 104654, 106382, 30512, 17297, 102639, 38144, 72661, 117876, 44915, 30512, 18655, 30369, 125231, 38641, 9174, 71289, 31431, 106956, 117876, 16144, 118881, 29295, 13153, 28873, 32977, 20834, 126172, 16995, 15024, 5486, 13153, 101544, 32977, 108608, 116497, 38641, 9174, 113702, 103306, 123716, 110698, 54926, 125396, 32977, 57903, 33541, 9174, 105184, 111201, 110698, 58318, 15682, 27384, 30926, 119627, 36896, 85701, 55031, 117503, 107391, 104612, 115376, 16144, 113009, 109431, 102769, 26854, 121507, 123410, 104466, 103801, 109954, 9174, 14711, 113168, 95, 107430, 61826, 77181, 17039, 17792, 198, 1272, 31640, 16556, 108436, 107430, 112990, 8107, 17297, 120938, 65743, 123017, 19732, 16556, 122502, 47884, 115789, 113727, 102204, 33541, 9174, 8107, 17860, 33144, 32218, 107809, 16556, 122502, 102532, 22957, 109115, 24273, 118816, 107202, 108631, 32149, 110241, 33121, 107515, 9174, 107118, 16995, 58942, 108436, 107430, 61826, 77181, 103350, 116486, 108270, 42634, 38641, 9174, 127177, 61337, 102351, 15682, 106613, 114172, 104699, 110706, 15682, 53283, 103836, 32149, 110241, 33121, 107515, 29295, 5486, 67645, 16144, 113314, 117876, 29295, 108608, 32149, 53283, 31431, 107515, 9174, 104004, 15024, 85791, 33334, 46034, 105360, 64121, 26955, 251, 91774, 102677, 64209, 103496, 32149, 32977, 38641, 9174, 58426, 103846, 17039, 107707, 120208, 16556, 13177, 105037, 247, 115534, 30813, 19732, 115289, 122279, 34171, 118587, 104195, 47884, 37689, 109375, 39926, 117271, 21105, 103, 118145, 16995, 76622, 107515, 9174, 114516, 116690, 29295, 30297, 17129, 47884, 106391, 113638, 106084, 38144, 127105, 117876, 16144, 80805, 108526, 108941, 107446, 32977, 30591, 29295, 31431, 33541, 9174, 61337, 32943, 77181, 17039, 107707, 105933, 72238, 74245, 26854, 117271, 16556, 117876, 15682, 109809, 115541, 16144, 22398, 62903, 33710, 16556, 103350, 116486, 19732, 22023, 117943, 30512, 25197, 78459, 55031, 108882, 64121, 109415, 100481, 50834, 17129, 109954, 9174, 14711, 107668, 102802, 106307, 105784, 110783, 110095, 198, 47260, 42634, 96452, 54656, 235, 16556, 104654, 105335, 106696, 16144, 104721, 33208, 55031, 91482, 76428, 102750, 22398, 117501, 32977, 30832, 17129, 104699, 30369, 106624, 104721, 33208, 127145, 9174, 85701, 103296, 16144, 40053, 109375, 71289, 53283, 109375, 29295, 33035, 11883, 21105, 103, 47884, 109020, 32149, 110241, 33121, 107515, 9174, 107943, 16325, 16556, 101083, 107809, 16144, 20251, 44971, 102860, 71289, 17039, 102800, 112113, 127359, 38248, 109, 67075, 109853, 53508, 231, 104195, 127145, 32149, 95532, 104721, 33208, 113115, 106608, 109768, 47884, 103846, 102052, 40053, 20230, 48864, 108710, 30512, 109768, 107188, 118145, 16995, 76622, 107515, 9174, 117876, 114556, 108826, 54926, 100909, 121142, 103470, 108285, 47884, 53283, 109375, 30512, 76171, 57326, 67075, 54926, 109215, 115991, 33541, 9174, 76171, 57326, 67075, 29295, 83747, 100604, 19732, 114392, 26854, 39880, 125916, 57326, 67075, 29295, 103082, 123733, 31431, 33541, 9174, 108436, 107430, 61826, 16556, 13153, 28873, 30512, 121406, 103846, 105352, 120321, 106307, 39926, 48864, 108710, 54926, 108710, 101557, 96, 30512, 96356, 107294, 76622, 17129, 109954, 9174, 567, 220, 1272, 31640, 16144, 108436, 107430, 15682, 111108, 102800, 198, 1272, 31640, 16144, 108436, 107430, 29295, 102131, 112825, 110904, 20230, 118544, 100604, 123017, 30926, 103350, 38641, 9174, 108436, 107430, 112415, 16144, 82973, 29295, 18655, 110615, 57980, 21909, 198, 51330, 104466, 108436, 107430, 112415, 16144, 85707, 23538, 38574, 106090, 55031, 109526, 241, 47884, 115789, 27384, 119178, 57903, 33541, 9174, 1272, 31640, 16144, 108436, 107430, 15682, 30591, 33503, 106644, 30369, 46034, 38574, 30512, 11883, 102532, 109134, 125231, 38641, 9174, 32018, 17792, 116229, 9458, 114435, 118935, 11883, 122481, 9458, 102040, 42634, 25005, 107, 105048, 9458, 108436, 107430, 76739, 78767, 78349, 52414, 125175, 9458, 53283, 17792, 126362, 198, 66378, 20230, 1272, 31640, 16144, 108436, 107430, 16556, 59614, 116156, 26854, 112973, 13177, 108436, 107430, 76739, 78767, 78349, 52414, 125175, 10646, 38641, 9174, 112418, 32977, 1272, 31640, 16556, 108436, 107430, 56051, 110018, 15682, 39850, 76171, 16556, 108436, 107430, 76739, 78767, 78349, 52414, 5486, 60868, 52884, 16556, 32018, 17792, 116229, 30512, 107740, 121256, 9174, 108436, 107430, 76739, 78767, 78349, 52414, 29295, 30591, 112568, 29295, 122502, 119188, 122756, 32018, 17792, 30512, 81742, 32943, 71289, 28190, 30177, 16144, 104873, 64531, 30512, 39926, 120700, 33541, 9174, 53900, 108285, 58655, 104309, 16556, 20834, 126386, 1272, 31640, 29295, 106608, 119890, 88367, 26854, 32018, 17792, 32977, 101182, 103846, 103550, 111983, 29295, 43240, 115737, 31431, 33541, 9174, 26854, 105879, 108729, 9554, 102052, 108436, 107430, 76739, 78767, 78349, 52414, 108695, 16144, 126913, 20230, 49988, 127397, 5486, 22398, 62903, 68759, 82973, 20230, 108436, 107430, 116229, 104309, 6109, 116229, 30512, 125894, 33655, 39926, 106608, 119890, 61826, 104088, 59739, 105784, 102083, 117201, 109954, 9174, 567, 113168, 95, 107430, 21105, 103, 16995, 102677, 122225, 32977, 39880, 37823, 38641, 198, 108436, 107430, 76739, 78767, 78349, 52414, 60868, 113649, 117718, 28190, 111813, 114475, 107441, 32018, 17792, 30512, 81742, 32943, 120837, 33503, 100472, 31431, 5486, 28190, 30177, 30512, 39926, 64121, 115926, 54926, 26854, 32149, 16556, 5486, 108436, 107430, 21105, 103, 16995, 102677, 122225, 32977, 39880, 37823, 38641, 9174, 99849, 32977, 123120, 72342, 101860, 20230, 13177, 1272, 31640, 16144, 108436, 107430, 15682, 43568, 105037, 222, 120572, 26854, 108861, 66383, 78244, 103836, 103378, 77181, 13153, 101544, 115991, 107515, 9174, 108436, 107430, 112415, 30512, 39926, 64121, 30369, 104023, 123120, 54926, 118733, 115515, 16144, 103350, 48634, 29295, 117903, 78683, 106240, 20230, 109948, 16995, 126386, 105908, 78183, 102518, 116497, 38641, 9174, 30591, 107118, 102780, 31431, 100604, 102944, 30512, 37271, 74482, 104405, 54926, 104865, 33671, 30537, 38641, 9174, 48864, 108710, 30512, 39926, 121453, 28713, 26854, 53283, 109375, 30512, 76706, 32149, 39926, 85701, 103296, 16144, 117876, 16556, 22398, 62903, 33710, 30512, 110137, 81219, 109768, 47884, 9174, 107943, 50834, 42891, 126929, 108176, 105879, 30591, 104984, 108436, 107430, 112415, 30512, 108968, 16325, 16556, 82533, 109315, 123017, 39880, 37823, 38641, 9174, 567, 220, 123011, 62004, 5232, 123120, 126693, 13153, 101544, 108608, 198, 118544, 29295, 16556, 56051, 123253, 32149, 95532, 1272, 31640, 16144, 108436, 107430, 16556, 21388, 113529, 21105, 103, 102334, 62004, 16144, 108167, 103214, 64121, 24273, 109853, 50338, 108323, 121256, 9174, 108436, 107430, 30512, 78698, 107290, 5486, 82973, 16144, 106613, 103188, 19732, 107173, 20230, 13177, 17129, 108861, 5486, 21105, 108, 124749, 103826, 45829, 64121, 101200, 66383, 99849, 32977, 123120, 72342, 101860, 115847, 103296, 19732, 112361, 104466, 122502, 47884, 112973, 15120, 87217, 126843, 16995, 38641, 9174, 108436, 107430, 30512, 78698, 105262, 108680, 26854, 105879, 123120, 17663, 125231, 38641, 9174, 103350, 104983, 20230, 108436, 107430, 112415, 123410, 5486, 102321, 103397, 30512, 104721, 105262, 121837, 123410, 104309, 123120, 16144, 61826, 20230, 13153, 101544, 115991, 33541, 9174, 27452, 58942, 77693, 29295, 21388, 113529, 56051, 103306, 32977, 38641, 9174, 30591, 19732, 508, 21909, 966, 8107, 15682, 122502, 47884, 100909, 108176, 103846, 5486, 102321, 103397, 109205, 69978, 16556, 71289, 31431, 103188, 48154, 17663, 109335, 91062, 37823, 38641, 9174, 30591, 112568, 29295, 13153, 101544, 108608, 124122, 123120, 30512, 106084, 30369, 100909, 55031, 27704, 62004, 17129, 109954, 1811, 128001, 128000, 567, 108295, 100204, 62004, 20230, 198, 80805, 33710, 102494, 125380, 15682, 19361, 126120, 13153, 17620, 99695, 68759, 106384, 110101, 84477, 16144, 106384, 110101, 84477, 39276, 45736, 121496, 104473, 111571, 71005, 109519, 117434, 38641, 9174, 122013, 34171, 45736, 47260, 44971, 106826, 42634, 64178, 104473, 111571, 30512, 96412, 104004, 122603, 121496, 104473, 111571, 16144, 71005, 109519, 20230, 11883, 16995, 102204, 33541, 9174, 37271, 18904, 15682, 5486, 80805, 33710, 102494, 125380, 16144, 8239, 114503, 126120, 27327, 5486, 106966, 113266, 71289, 61633, 28542, 109853, 126362, 78434, 9174, 567, 112562, 33671, 198, 80805, 33710, 102494, 125380, 76947, 67645, 103171, 117434, 95532, 80805, 33710, 102494, 125380, 76947, 99849, 16144, 103429, 95221, 20230, 33655, 105262, 16144, 95532, 80805, 33710, 102494, 125380, 76947, 104405, 125338, 126120, 119064, 95532, 80805, 33710, 102494, 125380, 16144, 108936, 109904, 33655, 30297, 33857, 19732, 18904, 9039, 198, 80805, 33710, 102494, 125380, 16144, 106966, 113266, 198, 80805, 33710, 102494, 125380, 16556, 95221, 30512, 47000, 105784, 109335, 95532, 80805, 33710, 102494, 125380, 16144, 109531, 102750, 37823, 48552, 10110, 11010, 7705, 76947, 101182, 16144, 95532, 80805, 33710, 102494, 125380, 16144, 23530, 114622, 117434, 10110, 1831, 34, 7705, 76947, 101182, 16144, 95532, 123011, 62004, 198, 97518, 89046, 54926, 108134, 198, 567, 110138, 33710, 102494, 125380, 76947, 67645, 103171, 117434, 95532, 80805, 33710, 102494, 125380, 15682, 19361, 126120, 13153, 17620, 99695, 68759, 106384, 110101, 84477, 16144, 45736, 121496, 104473, 111571, 71005, 109519, 117434, 38641, 9174, 106384, 110101, 84477, 39276, 16144, 45736, 121496, 104473, 111571, 71005, 109519, 117434, 20230, 17620, 104770, 84389, 33541, 9174, 102433, 77181, 5486, 81191, 20713, 66115, 8107, 60596, 9953, 20230, 122626, 29295, 111671, 84389, 79721, 9174, 126120, 27327, 102420, 15682, 8239, 114503, 198, 45736, 121496, 104473, 111571, 7, 122013, 34171, 30512, 96412, 104004, 340, 126120, 27327, 102420, 15682, 8239, 114503, 114556, 89046, 54926, 38129, 17905, 16144, 61633, 198, 12615, 43, 12, 47260, 44971, 106826, 42634, 64178, 116771, 29295, 126574, 45736, 121496, 104473, 111571, 113115, 15024, 5486, 103983, 121507, 117434, 107118, 21105, 103, 16995, 100909, 9174, 117811, 5232, 80805, 33710, 102494, 125380, 91779, 254, 15, 13, 16, 12591, 6704, 35911, 47000, 17161, 102181, 198, 567, 110138, 33710, 102494, 125380, 76947, 99849, 16144, 103429, 95221, 20230, 33655, 105262, 16144, 95532, 45736, 121496, 104473, 111571, 15682, 5486, 112599, 13177, 121496, 105284, 108901, 40053, 111571, 66383, 127173, 115032, 103429, 95221, 38641, 9174, 121496, 105284, 108901, 40053, 111571, 15682, 5486, 17297, 61304, 16144, 77195, 30512, 115303, 59739, 72661, 64121, 28713, 17663, 19732, 106116, 104466, 120761, 64889, 84389, 33541, 9174, 12, 63923, 105, 123570, 124597, 47260, 44971, 106826, 42634, 64178, 5232, 20713, 46702, 27113, 127881, 15755, 229, 14, 15755, 226, 43, 71689, 198, 12, 108613, 37823, 41758, 37823, 64810, 102803, 45923, 10110, 16325, 34171, 121496, 57942, 103, 123407, 20713, 44597, 27113, 127881, 15755, 229, 14, 15755, 226, 43, 71689, 198, 12, 63923, 101, 123570, 124597, 47260, 44971, 106826, 42634, 64178, 5232, 46702, 27113, 127881, 15755, 229, 14, 15755, 226, 43, 39442, 112624, 198, 12615, 43, 47260, 57933, 106826, 42634, 64178, 15682, 5486, 109161, 106157, 47260, 44971, 106826, 42634, 64178, 107173, 57980, 81219, 33121, 5486, 39, 16931, 47260, 44971, 106826, 42634, 64178, 15682, 106594, 106157, 47260, 44971, 106826, 42634, 64178, 107173, 127173, 33121, 33541, 9174, 109161, 106157, 47260, 44971, 106826, 42634, 64178, 29295, 127181, 108680, 5486, 53900, 106594, 106157, 47260, 44971, 106826, 42634, 64178, 29295, 83747, 100604, 108680, 109161, 16995, 102677, 100909, 115717, 33541, 9174, 13177, 45736, 121496, 104473, 111571, 10646, 118816, 5486, 106594, 106157, 47260, 44971, 106826, 42634, 64178, 29295, 83747, 100604, 108680, 109161, 16995, 102677, 110115, 100543, 249, 16555, 122, 54926, 105879, 36896, 121496, 105284, 108901, 40053, 111571, 66383, 127173, 104028, 100909, 110276, 102677, 124858, 115991, 33541, 9174, 47260, 44971, 106826, 42634, 64178, 19732, 16325, 34171, 121496, 57942, 103, 16144, 107734, 111017, 30512, 112825, 110904, 20230, 122984, 109768, 50834, 33541, 9174, 47260, 44971, 106826, 42634, 64178, 121270, 34171, 121496, 57942, 103, 107173, 20230, 5486, 33014, 20230, 104698, 30512, 58318, 58942, 102131, 20230, 117952, 104028, 105908, 127181, 119627, 5486, 107943, 109335, 124897, 9174, 104004, 15024, 85791, 5486, 109215, 109947, 124490, 26854, 48706, 38641, 9174, 16325, 34171, 121496, 57942, 103, 15682, 5486, 118958, 112415, 16144, 76739, 124643, 104603, 11972, 39084, 121711, 33541, 9174, 47260, 44971, 106826, 42634, 64178, 15682, 5486, 103927, 33710, 102494, 113883, 53229, 42506, 110276, 31431, 5486, 104398, 112506, 115716, 16144, 89753, 91875, 34171, 30512, 47260, 52414, 42634, 64178, 15024, 5486, 104398, 112506, 16144, 121432, 109205, 69978, 20230, 109215, 38641, 9174, 16325, 34171, 121496, 57942, 103, 15682, 5486, 102456, 30926, 55031, 36668, 20230, 99046, 224, 18655, 54926, 105879, 5486, 33420, 33208, 36651, 16556, 107246, 110226, 84389, 5486, 57942, 251, 26274, 241, 71289, 119049, 107079, 121606, 20230, 103768, 81219, 33121, 33541, 9174, 90620, 5486, 121496, 57942, 103, 15682, 104754, 17620, 26854, 105879, 5486, 104473, 107654, 16325, 30512, 58426, 110674, 77181, 33035, 30369, 105908, 103082, 107515, 9174, 110924, 16556, 76706, 109526, 235, 54926, 112973, 5486, 37823, 89154, 111678, 101828, 38641, 9174, 37823, 89154, 111678, 101828, 15682, 5486, 106759, 104754, 34171, 19732, 106759, 53610, 34171, 30512, 114196, 101832, 104874, 107290, 108086, 121270, 34171, 121496, 57942, 103 ]
[ 71289, 47260, 44971, 106826, 42634, 64178, 30512, 104473, 107654, 20230, 16144, 127397, 103768, 104369, 105908, 108608, 104466, 54926, 53953, 105284, 38641, 9174, 16325, 34171, 121496, 57942, 103, 16144, 103768, 127651, 107734, 15682, 5486, 71493, 25197, 42634, 101198, 110305, 16073, 10110, 62903, 42634, 101198, 110305, 16073, 7705, 38641, 9174, 47260, 44971, 106826, 42634, 64178, 16144, 103768, 127651, 107734, 15682, 5486, 122913, 124597, 123570, 124597, 9458, 124417, 123570, 124597, 9458, 124597, 123570, 124597, 9458, 1569, 101, 123570, 124597, 38641, 9174, 57942, 251, 26274, 241, 55031, 106968, 101862, 95, 121606, 20230, 47260, 44971, 106826, 42634, 64178, 30512, 103768, 104369, 112973, 5486, 122913, 124597, 123570, 124597, 9458, 124417, 123570, 124597, 9458, 124597, 123570, 124597, 38641, 1811, 124597, 123570, 124597, 29295, 104473, 16325, 16556, 51385, 23187, 56051, 83799, 26854, 105879, 5486, 124597, 123570, 124597, 47260, 44971, 106826, 42634, 64178, 16144, 112603, 29295, 114652, 104473, 107654, 111800, 112984, 16556, 104873, 103854, 102204, 33541, 9174, 53900, 5486, 116900, 20230, 106968, 101862, 95, 121606, 55031, 57942, 251, 26274, 241, 20230, 47260, 44971, 106826, 42634, 64178, 30512, 103768, 104369, 107734, 111017, 30512, 28873, 28713, 17663, 112973, 5486, 1569, 101, 123570, 124597, 38641, 9174, 124597, 123570, 124597, 47260, 44971, 106826, 42634, 64178, 29295, 115079, 21601, 112990, 16937, 72368, 40862, 26854, 105908, 125119, 76947, 50834, 33541, 9174, 103188, 21403, 108, 26854, 124597, 123570, 124597, 47260, 44971, 106826, 42634, 64178, 29295, 104473, 36651, 32943, 20230, 125985, 108882, 39926, 114732, 16144, 38641, 9174, 125985, 108882, 56051, 124597, 123570, 124597, 47260, 44971, 106826, 42634, 64178, 15682, 5486, 108901, 53953, 19732, 64121, 26854, 84389, 127359, 110305, 104774, 78767, 113468, 125764, 102204, 33541, 9174, 15120, 14558, 102936, 100815, 32149, 106046, 16995, 50834, 71289, 110371, 68759, 110305, 104774, 78767, 15682, 91875, 76622, 123733, 31431, 5486, 122939, 31106, 104, 104398, 112506, 19732, 110783, 119707, 58942, 5486, 104473, 36651, 32943, 20230, 125985, 108882, 78434, 9174, 51330, 122939, 31106, 104, 104398, 112506, 15682, 5486, 121496, 105284, 125540, 105048, 19732, 127173, 104028, 5486, 108008, 20230, 101171, 228, 16995, 115716, 126694, 31431, 110371, 115716, 15682, 127852, 107666, 112212, 105150, 33121, 20834, 104473, 78434, 9174, 58426, 113702, 5486, 90620, 16556, 30813, 58942, 101462, 255, 115737, 103836, 104473, 36651, 30512, 5486, 104473, 15308, 241, 59739, 109749, 118733, 108481, 105557, 33541, 9174, 58426, 75267, 16556, 108481, 29295, 103470, 111243, 5486, 19967, 109115, 104473, 15308, 241, 29295, 104473, 89753, 20230, 16144, 76947, 107850, 102802, 5486, 64209, 26274, 241, 71289, 101171, 111, 16144, 104398, 16995, 104473, 36651, 20230, 50520, 108, 17129, 104984, 5486, 48154, 25359, 53283, 16144, 121640, 5486, 64209, 119049, 101862, 245, 108481, 71289, 101171, 111, 101862, 245, 108481, 16144, 102404, 111571, 121711, 33541, 9174, 26854, 105879, 5486, 124597, 123570, 124597, 47260, 44971, 106826, 42634, 64178, 29295, 127181, 109335, 109606, 126529, 38641, 9174, 53900, 5486, 1569, 101, 123570, 124597, 47260, 44971, 106826, 42634, 64178, 15682, 5486, 106968, 101862, 95, 121606, 16144, 47260, 44971, 106826, 42634, 64178, 30512, 18904, 110226, 39926, 57942, 251, 26274, 241, 20230, 103768, 104127, 124089, 107734, 111017, 30512, 28873, 28713, 103792, 105879, 5486, 33857, 29295, 17663, 115737, 104533, 71289, 15682, 31431, 5486, 104473, 107654, 126867, 47260, 44971, 106826, 42634, 64178, 29295, 105623, 226, 108882, 15024, 126172, 115737, 31431, 5486, 109606, 121711, 33541, 9174, 567, 110138, 33710, 102494, 125380, 76947, 104405, 125338, 126120, 119064, 95532, 80805, 33710, 102494, 125380, 16144, 19361, 126120, 13153, 17620, 99695, 68759, 106384, 110101, 84477, 15682, 5486, 106384, 110101, 84477, 39276, 20230, 103204, 54926, 121496, 105284, 108901, 40053, 111571, 16144, 117434, 38641, 9174, 106384, 110101, 84477, 39276, 16144, 121496, 105284, 108901, 40053, 111571, 117434, 15682, 5486, 57942, 251, 26274, 241, 122692, 72237, 32943, 101682, 37729, 33014, 10110, 104398, 112506, 16144, 115514, 108044, 45829, 47585, 116245, 13177, 72237, 10646, 117083, 22398, 25197, 108981, 7705, 716, 5241, 285, 638, 43036, 859, 12, 31262, 35268, 19581, 10110, 4505, 946, 19481, 7705, 30512, 76706, 34171, 33208, 54926, 100909, 112212, 5486, 103826, 104680, 26854, 47307, 115695, 29220, 105284, 16144, 102404, 102321, 30512, 104873, 107792, 54926, 118733, 5486, 121496, 105284, 16144, 31640, 118835, 30512, 37087, 33014, 112535, 23226, 106594, 107726, 33541, 9174, 58426, 113702, 5486, 104473, 80866, 47260, 44971, 106826, 42634, 64178, 124001, 104473, 80866, 122148, 41758, 37823, 64810, 102803, 45923, 30512, 103167, 17297, 107726, 104533, 107173, 20230, 5486, 104473, 80866, 1569, 101, 123570, 124597, 47260, 44971, 106826, 42634, 64178, 30512, 17905, 123716, 107726, 33541, 9174, 123532, 37507, 16144, 106384, 110101, 84477, 39276, 117434, 15682, 5486, 122617, 101921, 236, 26274, 241, 16556, 61056, 14888, 226, 84389, 101732, 103846, 5486, 101921, 236, 121432, 29295, 120175, 100934, 45736, 106036, 95, 30046, 104309, 77181, 33655, 16995, 109669, 110706, 127749, 16556, 56051, 29295, 5486, 80805, 33710, 102494, 125380, 15682, 57942, 251, 26274, 241, 126250, 31640, 118835, 84389, 100853, 252, 102924, 20230, 61056, 14888, 226, 107001, 103846, 5486, 101921, 236, 121432, 29295, 120175, 100934, 24273, 105352, 33655, 114774, 17663, 16995, 102677, 127742, 115991, 33541, 9174, 567, 110138, 33710, 102494, 125380, 16144, 108936, 109904, 33655, 30297, 33857, 19732, 18904, 9039, 198, 11883, 25333, 127253, 11883, 33857, 198, 117032, 5486, 118104, 102052, 99695, 68759, 106384, 110101, 84477, 103306, 16, 18904, 15, 13, 16, 12591, 30512, 16, 9080, 17, 18904, 103293, 118705, 20230, 106613, 40526, 80172, 58318, 54926, 1811, 126738, 5486, 8107, 106036, 95, 5486, 111571, 103397, 20230, 106608, 100204, 38144, 109431, 112904, 115079, 114485, 54926, 29295, 5486, 112366, 11883, 33857, 15682, 16, 18904, 15, 13, 17, 12591, 30512, 16, 9080, 17, 18904, 103296, 117408, 9174, 11883, 25333, 127253, 11883, 33857, 114556, 89046, 54926, 38129, 17905, 16144, 61633, 198, 16, 13, 57942, 251, 108502, 104698, 16144, 101182, 121648, 10110, 3736, 9483, 7595, 17620, 104770, 32, 16144, 57942, 251, 110567, 104721, 16144, 101182, 121648, 104309, 7705, 102420, 15682, 57942, 251, 108502, 104698, 16144, 110577, 104198, 114172, 16144, 101182, 121648, 20230, 80172, 58318, 54926, 107803, 102052, 5486, 109215, 20230, 106608, 100204, 38144, 22656, 21403, 97, 16144, 114485, 33857, 30512, 78698, 101557, 106, 54926, 100909, 9174, 17, 13, 105047, 106266, 26854, 101921, 236, 121432, 16144, 109161, 33208, 30512, 112183, 30297, 109203, 27869, 233, 119049, 106075, 50338, 111571, 29295, 30591, 33503, 126832, 105908, 101182, 105879, 5486, 80172, 58318, 20230, 30591, 28713, 76947, 15682, 111694, 112919, 101921, 236, 121432, 30512, 111800, 112984, 15024, 5486, 104473, 80866, 29220, 44971, 39880, 78459, 78683, 16073, 112603, 29295, 17, 13, 20, 12591, 3529, 43, 71689, 16144, 107803, 102052, 80172, 58318, 30512, 16325, 82533, 15024, 5486, 16, 13, 20, 12591, 3529, 43, 71689, 17, 13, 20, 12591, 3529, 43, 39442, 112624, 16144, 126513, 103167, 11883, 33857, 55031, 80172, 58318, 30512, 111671, 54926, 32149, 5486, 80172, 58318, 56965, 113849, 30512, 109337, 101544, 39926, 38129, 54926, 100909, 9174, 80805, 33710, 102494, 125380, 15682, 5486, 117032, 20713, 9080, 25963, 18904, 44309, 11883, 54926, 117809, 16144, 117434, 38641, 9174, 8107, 106036, 95, 71289, 111571, 103397, 113468, 5486, 109431, 112904, 18904, 9039, 71289, 33857, 30512, 104873, 107792, 54926, 105879, 5486, 103242, 104599, 16144, 64467, 20379, 67645, 108086, 20230, 38129, 54926, 104466, 39926, 72315, 9174, 567, 110138, 33710, 102494, 125380, 16144, 106966, 113266, 198, 80805, 33710, 102494, 125380, 16144, 106966, 113266, 103306, 5486, 36668, 20230, 120270, 110731, 104468, 5486, 124533, 102465, 111571, 71289, 117587, 126017, 103429, 5486, 57942, 251, 121432, 108901, 40053, 104309, 38641, 9174, 53900, 5486, 30358, 83898, 97, 26854, 106966, 113266, 103306, 5486, 109203, 27869, 233, 119049, 106075, 50338, 111571, 115991, 33541, 9174, 111299, 107680, 116044, 104309, 16556, 87177, 104482, 115717, 33541, 29295, 5486, 85707, 23538, 111571, 103397, 30512, 126128, 107290, 33334, 47884, 105908, 27384, 30926, 38641, 9174, 85707, 23538, 111571, 103397, 103306, 5486, 112854, 58942, 16144, 100604, 119049, 107079, 108631, 9458, 46034, 102780, 16144, 21105, 111, 33121, 9458, 126017, 29295, 109657, 21909, 106782, 238, 39135, 108176, 102083, 100472, 111571, 103397, 115991, 33541, 9174, 44309, 11883, 126867, 108895, 56051, 111571, 103397, 29295, 30591, 104984, 5486, 114225, 20230, 103242, 104599, 20230, 50021, 111813, 54926, 104466, 39926, 72315, 9174, 567, 110138, 33710, 102494, 125380, 16556, 95221, 30512, 47000, 105784, 109335, 95532, 14711, 220, 125702, 11883, 39926, 112987, 124324, 117434, 9458, 61633, 29295, 109215, 26854, 117434, 115991, 33541, 9174, 44309, 11883, 103792, 117434, 15682, 108948, 117434, 46034, 13821, 111, 30512, 76706, 11883, 39926, 109431, 102769, 20230, 40452, 15024, 5486, 103242, 104599, 71289, 117434, 21403, 97, 104599, 20230, 109431, 112904, 114140, 30512, 32977, 33503, 30297, 104466, 39926, 72315, 9174, 14711, 125389, 30926, 109519, 25333, 9458, 117401, 109519, 25333, 15682, 120321, 106307, 54926, 104466, 39926, 72315, 9174, 47260, 44971, 106826, 42634, 64178, 16144, 31640, 118835, 15682, 5486, 33014, 123727, 115514, 108044, 109904, 31634, 72238, 29295, 43240, 47884, 117375, 54926, 105908, 78183, 126469, 61689, 29295, 5486, 109860, 102083, 76947, 5486, 110665, 115320, 110665, 102456, 9458, 117401, 16144, 21105, 103, 30813, 120195, 15682, 1569, 106, 1569, 100, 38641, 9174, 567, 110138, 33710, 102494, 125380, 16144, 109531, 102750, 37823, 48552, 10110, 11010, 7705, 76947, 101182, 16144, 95532, 80805, 33710, 102494, 125380, 16144, 109531, 102750, 37823, 48552, 15682, 5486, 81191, 20713, 66115, 8107, 60596, 9953, 112599, 122626, 84389, 100481, 107515, 9174, 567, 110138, 33710, 102494, 125380, 16144, 23530, 114622, 117434, 10110, 1831, 34, 7705, 76947, 101182, 16144, 95532, 119010, 120915, 117812, 77181, 122626, 84389, 100481, 107515, 9174, 104473, 107654, 111800, 112984, 30512, 103350, 102923, 39926, 5486, 106613, 103188, 114181, 105085, 109768, 47884, 117434, 26854, 105879, 5486, 119010, 120915, 117812, 108176, 91774, 121423, 15682, 103167, 16995, 38641, 9174, 567, 220, 123011, 62004, 198, 106384, 110101, 84477, 39276, 15682, 5486, 716, 5241, 285, 638, 43036, 859, 12, 31262, 35268, 19581, 10110, 4505, 946, 19481, 7705, 30512, 76706, 34171, 33208, 54926, 118733, 5486, 103826, 104680, 26854, 47307, 115695, 29220, 105284, 16144, 40862, 13153, 30512, 104873, 64531, 15024, 5486, 121496, 105284, 31640, 118835, 30512, 47260, 52414, 42634, 64178, 54926, 122502, 50834, 30512, 32977, 43514, 33541, 9174, 38129, 20230, 104983, 39926, 15682, 5486, 103242, 104599, 16144, 64467, 20379, 20230, 123532, 30297, 104466, 39926, 72315, 9174, 567, 122887, 54926, 108134, 198, 14711, 114163, 16144, 117434, 30512, 104873, 115694, 64121, 30369, 198, 51330, 77219, 111363, 20251, 118359, 66953, 48552, 15682, 124897, 9174, 51330, 77219, 111363, 90178, 15682, 124897, 1811, 128001, 128000, 567, 111279, 30512, 105525, 30369, 104983, 16144, 19, 118821, 61633, 28542, 30512, 50338, 108323, 104926, 46729, 30512, 105525, 104533, 50834, 6269, 26854, 61633, 17663, 125231, 120098, 32977, 126362, 198, 13177, 46729, 30512, 105525, 30369, 104983, 20230, 53283, 76947, 33334, 102334, 24273, 29295, 126521, 109335, 101182, 11571, 59712, 108608, 103378, 125173, 21388, 103470, 46729, 30512, 105525, 31431, 106956, 76864, 198, 46729, 16144, 105525, 107691, 15682, 17792, 21990, 107809, 72661, 112366, 104297, 107898, 35330, 29295, 91875, 47884, 101513, 38093, 38641, 9174, 16995, 75694, 105525, 112586, 20834, 102131, 106046, 114598, 36896, 116414, 32149, 16937, 104874, 120937, 32149, 59712, 30926, 112772, 108895, 16995, 100472, 106592, 39926, 33334, 102334, 24273, 29295, 103424, 118544, 10646, 104309, 127408, 20230, 91763, 76947, 114732, 105494, 29295, 43240, 47884, 20834, 38144, 50834, 33541, 9174, 110924, 16556, 51330, 77219, 77181, 5486, 46729, 30512, 105525, 30369, 104983, 16144, 118789, 109904, 46034, 110480, 71289, 30926, 112772, 125338, 33334, 105898, 16995, 100909, 5486, 116900, 20230, 125338, 112987, 124324, 100909, 104309, 30512, 123011, 107436, 50338, 108323, 121256, 9174, 46729, 16144, 105525, 107691, 16556, 101128, 102, 126559, 24273, 15682, 110371, 77219, 30512, 121846, 20230, 19967, 101275, 30512, 103130, 107436, 64121, 38144, 72315, 9174, 30832, 33671, 198, 12, 220, 16, 111279, 30512, 105525, 30369, 104983, 16144, 19, 118821, 61633, 28542, 198, 12, 220, 17, 111279, 30512, 105525, 30369, 104983, 16144, 112984, 23187, 55031, 105525, 105368, 103296, 16144, 46034, 110480, 198, 12, 220, 18, 111279, 30512, 105525, 30369, 113009, 109215, 26854, 30926, 25580, 107253, 104874, 198, 12, 220, 19, 111279, 30512, 105525, 104533, 50834, 6269, 26854, 61633, 17663, 125231, 120098, 198, 12, 220, 20, 111279, 30512, 105525, 30369, 104983, 103732, 47884, 101182, 105284, 99397, 198, 12, 220, 21, 111279, 30512, 105525, 30369, 104983, 16144, 112984, 23187, 15682, 60868, 57933, 25197, 76739, 16144, 107740, 119279, 125683, 62004, 198, 12, 220, 22, 111279, 30512, 105525, 30369, 104983, 16144, 61633, 28542, 123011, 62004, 198, 567, 111279, 30512, 105525, 30369, 104983, 16144, 19, 118821, 61633, 28542, 198, 126843, 15682, 100204, 62004, 20230, 5486, 46729, 30512, 105525, 30369, 104983, 16144, 19, 118821, 61633, 28542, 109853, 38641, 9174, 46729, 16144, 105525, 105368, 15682, 110371, 19, 111831, 30512, 21105, 96, 107277, 19732, 114140, 39926, 55031, 23039, 30297, 104466, 103801, 109954, 9174, 14711, 111279, 16144, 105525, 105368, 16144, 89753, 33121, 71289, 117232, 30512, 102178, 111665, 39926, 33334, 47884, 198, 16, 59739, 118322, 61633, 28542, 103306, 5486, 46729, 16144, 105525, 105368, 16144, 89753, 33121, 71289, 105525, 104028, 103296, 16144, 117232, 30512, 102178, 111665, 39926, 33334, 47884, 105908, 107693, 38641, 9174, 108936, 112535, 46729, 16144, 105525, 105368, 15682, 88852, 16144, 46034, 110480, 16556, 23039, 123671, 33541, 9174, 12, 111279, 16144, 105525, 31431, 24273, 30512, 102647, 104369, 198, 12, 63091, 17620, 16144, 46729, 16144, 105525, 105368, 50021, 75267, 30512, 104873, 103854, 30369, 198, 12, 9085, 97, 229, 9039, 16144, 16937 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 47260, 44971, 106826, 42634, 64178, 30512, 104473, 107654, 20230, 16144, 127397, 103768, 104369, 105908, 108608, 104466, 54926, 53953, 105284, 38641, 9174, 16325, 34171, 121496, 57942, 103, 16144, 103768, 127651, 107734, 15682, 5486, 71493, 25197, 42634, 101198, 110305, 16073, 10110, 62903, 42634, 101198, 110305, 16073, 7705, 38641, 9174, 47260, 44971, 106826, 42634, 64178, 16144, 103768, 127651, 107734, 15682, 5486, 122913, 124597, 123570, 124597, 9458, 124417, 123570, 124597, 9458, 124597, 123570, 124597, 9458, 1569, 101, 123570, 124597, 38641, 9174, 57942, 251, 26274, 241, 55031, 106968, 101862, 95, 121606, 20230, 47260, 44971, 106826, 42634, 64178, 30512, 103768, 104369, 112973, 5486, 122913, 124597, 123570, 124597, 9458, 124417, 123570, 124597, 9458, 124597, 123570, 124597, 38641, 1811, 124597, 123570, 124597, 29295, 104473, 16325, 16556, 51385, 23187, 56051, 83799, 26854, 105879, 5486, 124597, 123570, 124597, 47260, 44971, 106826, 42634, 64178, 16144, 112603, 29295, 114652, 104473, 107654, 111800, 112984, 16556, 104873, 103854, 102204, 33541, 9174, 53900, 5486, 116900, 20230, 106968, 101862, 95, 121606, 55031, 57942, 251, 26274, 241, 20230, 47260, 44971, 106826, 42634, 64178, 30512, 103768, 104369, 107734, 111017, 30512, 28873, 28713, 17663, 112973, 5486, 1569, 101, 123570, 124597, 38641, 9174, 124597, 123570, 124597, 47260, 44971, 106826, 42634, 64178, 29295, 115079, 21601, 112990, 16937, 72368, 40862, 26854, 105908, 125119, 76947, 50834, 33541, 9174, 103188, 21403, 108, 26854, 124597, 123570, 124597, 47260, 44971, 106826, 42634, 64178, 29295, 104473, 36651, 32943, 20230, 125985, 108882, 39926, 114732, 16144, 38641, 9174, 125985, 108882, 56051, 124597, 123570, 124597, 47260, 44971, 106826, 42634, 64178, 15682, 5486, 108901, 53953, 19732, 64121, 26854, 84389, 127359, 110305, 104774, 78767, 113468, 125764, 102204, 33541, 9174, 15120, 14558, 102936, 100815, 32149, 106046, 16995, 50834, 71289, 110371, 68759, 110305, 104774, 78767, 15682, 91875, 76622, 123733, 31431, 5486, 122939, 31106, 104, 104398, 112506, 19732, 110783, 119707, 58942, 5486, 104473, 36651, 32943, 20230, 125985, 108882, 78434, 9174, 51330, 122939, 31106, 104, 104398, 112506, 15682, 5486, 121496, 105284, 125540, 105048, 19732, 127173, 104028, 5486, 108008, 20230, 101171, 228, 16995, 115716, 126694, 31431, 110371, 115716, 15682, 127852, 107666, 112212, 105150, 33121, 20834, 104473, 78434, 9174, 58426, 113702, 5486, 90620, 16556, 30813, 58942, 101462, 255, 115737, 103836, 104473, 36651, 30512, 5486, 104473, 15308, 241, 59739, 109749, 118733, 108481, 105557, 33541, 9174, 58426, 75267, 16556, 108481, 29295, 103470, 111243, 5486, 19967, 109115, 104473, 15308, 241, 29295, 104473, 89753, 20230, 16144, 76947, 107850, 102802, 5486, 64209, 26274, 241, 71289, 101171, 111, 16144, 104398, 16995, 104473, 36651, 20230, 50520, 108, 17129, 104984, 5486, 48154, 25359, 53283, 16144, 121640, 5486, 64209, 119049, 101862, 245, 108481, 71289, 101171, 111, 101862, 245, 108481, 16144, 102404, 111571, 121711, 33541, 9174, 26854, 105879, 5486, 124597, 123570, 124597, 47260, 44971, 106826, 42634, 64178, 29295, 127181, 109335, 109606, 126529, 38641, 9174, 53900, 5486, 1569, 101, 123570, 124597, 47260, 44971, 106826, 42634, 64178, 15682, 5486, 106968, 101862, 95, 121606, 16144, 47260, 44971, 106826, 42634, 64178, 30512, 18904, 110226, 39926, 57942, 251, 26274, 241, 20230, 103768, 104127, 124089, 107734, 111017, 30512, 28873, 28713, 103792, 105879, 5486, 33857, 29295, 17663, 115737, 104533, 71289, 15682, 31431, 5486, 104473, 107654, 126867, 47260, 44971, 106826, 42634, 64178, 29295, 105623, 226, 108882, 15024, 126172, 115737, 31431, 5486, 109606, 121711, 33541, 9174, 567, 110138, 33710, 102494, 125380, 76947, 104405, 125338, 126120, 119064, 95532, 80805, 33710, 102494, 125380, 16144, 19361, 126120, 13153, 17620, 99695, 68759, 106384, 110101, 84477, 15682, 5486, 106384, 110101, 84477, 39276, 20230, 103204, 54926, 121496, 105284, 108901, 40053, 111571, 16144, 117434, 38641, 9174, 106384, 110101, 84477, 39276, 16144, 121496, 105284, 108901, 40053, 111571, 117434, 15682, 5486, 57942, 251, 26274, 241, 122692, 72237, 32943, 101682, 37729, 33014, 10110, 104398, 112506, 16144, 115514, 108044, 45829, 47585, 116245, 13177, 72237, 10646, 117083, 22398, 25197, 108981, 7705, 716, 5241, 285, 638, 43036, 859, 12, 31262, 35268, 19581, 10110, 4505, 946, 19481, 7705, 30512, 76706, 34171, 33208, 54926, 100909, 112212, 5486, 103826, 104680, 26854, 47307, 115695, 29220, 105284, 16144, 102404, 102321, 30512, 104873, 107792, 54926, 118733, 5486, 121496, 105284, 16144, 31640, 118835, 30512, 37087, 33014, 112535, 23226, 106594, 107726, 33541, 9174, 58426, 113702, 5486, 104473, 80866, 47260, 44971, 106826, 42634, 64178, 124001, 104473, 80866, 122148, 41758, 37823, 64810, 102803, 45923, 30512, 103167, 17297, 107726, 104533, 107173, 20230, 5486, 104473, 80866, 1569, 101, 123570, 124597, 47260, 44971, 106826, 42634, 64178, 30512, 17905, 123716, 107726, 33541, 9174, 123532, 37507, 16144, 106384, 110101, 84477, 39276, 117434, 15682, 5486, 122617, 101921, 236, 26274, 241, 16556, 61056, 14888, 226, 84389, 101732, 103846, 5486, 101921, 236, 121432, 29295, 120175, 100934, 45736, 106036, 95, 30046, 104309, 77181, 33655, 16995, 109669, 110706, 127749, 16556, 56051, 29295, 5486, 80805, 33710, 102494, 125380, 15682, 57942, 251, 26274, 241, 126250, 31640, 118835, 84389, 100853, 252, 102924, 20230, 61056, 14888, 226, 107001, 103846, 5486, 101921, 236, 121432, 29295, 120175, 100934, 24273, 105352, 33655, 114774, 17663, 16995, 102677, 127742, 115991, 33541, 9174, 567, 110138, 33710, 102494, 125380, 16144, 108936, 109904, 33655, 30297, 33857, 19732, 18904, 9039, 198, 11883, 25333, 127253, 11883, 33857, 198, 117032, 5486, 118104, 102052, 99695, 68759, 106384, 110101, 84477, 103306, 16, 18904, 15, 13, 16, 12591, 30512, 16, 9080, 17, 18904, 103293, 118705, 20230, 106613, 40526, 80172, 58318, 54926, 1811, 126738, 5486, 8107, 106036, 95, 5486, 111571, 103397, 20230, 106608, 100204, 38144, 109431, 112904, 115079, 114485, 54926, 29295, 5486, 112366, 11883, 33857, 15682, 16, 18904, 15, 13, 17, 12591, 30512, 16, 9080, 17, 18904, 103296, 117408, 9174, 11883, 25333, 127253, 11883, 33857, 114556, 89046, 54926, 38129, 17905, 16144, 61633, 198, 16, 13, 57942, 251, 108502, 104698, 16144, 101182, 121648, 10110, 3736, 9483, 7595, 17620, 104770, 32, 16144, 57942, 251, 110567, 104721, 16144, 101182, 121648, 104309, 7705, 102420, 15682, 57942, 251, 108502, 104698, 16144, 110577, 104198, 114172, 16144, 101182, 121648, 20230, 80172, 58318, 54926, 107803, 102052, 5486, 109215, 20230, 106608, 100204, 38144, 22656, 21403, 97, 16144, 114485, 33857, 30512, 78698, 101557, 106, 54926, 100909, 9174, 17, 13, 105047, 106266, 26854, 101921, 236, 121432, 16144, 109161, 33208, 30512, 112183, 30297, 109203, 27869, 233, 119049, 106075, 50338, 111571, 29295, 30591, 33503, 126832, 105908, 101182, 105879, 5486, 80172, 58318, 20230, 30591, 28713, 76947, 15682, 111694, 112919, 101921, 236, 121432, 30512, 111800, 112984, 15024, 5486, 104473, 80866, 29220, 44971, 39880, 78459, 78683, 16073, 112603, 29295, 17, 13, 20, 12591, 3529, 43, 71689, 16144, 107803, 102052, 80172, 58318, 30512, 16325, 82533, 15024, 5486, 16, 13, 20, 12591, 3529, 43, 71689, 17, 13, 20, 12591, 3529, 43, 39442, 112624, 16144, 126513, 103167, 11883, 33857, 55031, 80172, 58318, 30512, 111671, 54926, 32149, 5486, 80172, 58318, 56965, 113849, 30512, 109337, 101544, 39926, 38129, 54926, 100909, 9174, 80805, 33710, 102494, 125380, 15682, 5486, 117032, 20713, 9080, 25963, 18904, 44309, 11883, 54926, 117809, 16144, 117434, 38641, 9174, 8107, 106036, 95, 71289, 111571, 103397, 113468, 5486, 109431, 112904, 18904, 9039, 71289, 33857, 30512, 104873, 107792, 54926, 105879, 5486, 103242, 104599, 16144, 64467, 20379, 67645, 108086, 20230, 38129, 54926, 104466, 39926, 72315, 9174, 567, 110138, 33710, 102494, 125380, 16144, 106966, 113266, 198, 80805, 33710, 102494, 125380, 16144, 106966, 113266, 103306, 5486, 36668, 20230, 120270, 110731, 104468, 5486, 124533, 102465, 111571, 71289, 117587, 126017, 103429, 5486, 57942, 251, 121432, 108901, 40053, 104309, 38641, 9174, 53900, 5486, 30358, 83898, 97, 26854, 106966, 113266, 103306, 5486, 109203, 27869, 233, 119049, 106075, 50338, 111571, 115991, 33541, 9174, 111299, 107680, 116044, 104309, 16556, 87177, 104482, 115717, 33541, 29295, 5486, 85707, 23538, 111571, 103397, 30512, 126128, 107290, 33334, 47884, 105908, 27384, 30926, 38641, 9174, 85707, 23538, 111571, 103397, 103306, 5486, 112854, 58942, 16144, 100604, 119049, 107079, 108631, 9458, 46034, 102780, 16144, 21105, 111, 33121, 9458, 126017, 29295, 109657, 21909, 106782, 238, 39135, 108176, 102083, 100472, 111571, 103397, 115991, 33541, 9174, 44309, 11883, 126867, 108895, 56051, 111571, 103397, 29295, 30591, 104984, 5486, 114225, 20230, 103242, 104599, 20230, 50021, 111813, 54926, 104466, 39926, 72315, 9174, 567, 110138, 33710, 102494, 125380, 16556, 95221, 30512, 47000, 105784, 109335, 95532, 14711, 220, 125702, 11883, 39926, 112987, 124324, 117434, 9458, 61633, 29295, 109215, 26854, 117434, 115991, 33541, 9174, 44309, 11883, 103792, 117434, 15682, 108948, 117434, 46034, 13821, 111, 30512, 76706, 11883, 39926, 109431, 102769, 20230, 40452, 15024, 5486, 103242, 104599, 71289, 117434, 21403, 97, 104599, 20230, 109431, 112904, 114140, 30512, 32977, 33503, 30297, 104466, 39926, 72315, 9174, 14711, 125389, 30926, 109519, 25333, 9458, 117401, 109519, 25333, 15682, 120321, 106307, 54926, 104466, 39926, 72315, 9174, 47260, 44971, 106826, 42634, 64178, 16144, 31640, 118835, 15682, 5486, 33014, 123727, 115514, 108044, 109904, 31634, 72238, 29295, 43240, 47884, 117375, 54926, 105908, 78183, 126469, 61689, 29295, 5486, 109860, 102083, 76947, 5486, 110665, 115320, 110665, 102456, 9458, 117401, 16144, 21105, 103, 30813, 120195, 15682, 1569, 106, 1569, 100, 38641, 9174, 567, 110138, 33710, 102494, 125380, 16144, 109531, 102750, 37823, 48552, 10110, 11010, 7705, 76947, 101182, 16144, 95532, 80805, 33710, 102494, 125380, 16144, 109531, 102750, 37823, 48552, 15682, 5486, 81191, 20713, 66115, 8107, 60596, 9953, 112599, 122626, 84389, 100481, 107515, 9174, 567, 110138, 33710, 102494, 125380, 16144, 23530, 114622, 117434, 10110, 1831, 34, 7705, 76947, 101182, 16144, 95532, 119010, 120915, 117812, 77181, 122626, 84389, 100481, 107515, 9174, 104473, 107654, 111800, 112984, 30512, 103350, 102923, 39926, 5486, 106613, 103188, 114181, 105085, 109768, 47884, 117434, 26854, 105879, 5486, 119010, 120915, 117812, 108176, 91774, 121423, 15682, 103167, 16995, 38641, 9174, 567, 220, 123011, 62004, 198, 106384, 110101, 84477, 39276, 15682, 5486, 716, 5241, 285, 638, 43036, 859, 12, 31262, 35268, 19581, 10110, 4505, 946, 19481, 7705, 30512, 76706, 34171, 33208, 54926, 118733, 5486, 103826, 104680, 26854, 47307, 115695, 29220, 105284, 16144, 40862, 13153, 30512, 104873, 64531, 15024, 5486, 121496, 105284, 31640, 118835, 30512, 47260, 52414, 42634, 64178, 54926, 122502, 50834, 30512, 32977, 43514, 33541, 9174, 38129, 20230, 104983, 39926, 15682, 5486, 103242, 104599, 16144, 64467, 20379, 20230, 123532, 30297, 104466, 39926, 72315, 9174, 567, 122887, 54926, 108134, 198, 14711, 114163, 16144, 117434, 30512, 104873, 115694, 64121, 30369, 198, 51330, 77219, 111363, 20251, 118359, 66953, 48552, 15682, 124897, 9174, 51330, 77219, 111363, 90178, 15682, 124897, 1811, 128001, 128000, 567, 111279, 30512, 105525, 30369, 104983, 16144, 19, 118821, 61633, 28542, 30512, 50338, 108323, 104926, 46729, 30512, 105525, 104533, 50834, 6269, 26854, 61633, 17663, 125231, 120098, 32977, 126362, 198, 13177, 46729, 30512, 105525, 30369, 104983, 20230, 53283, 76947, 33334, 102334, 24273, 29295, 126521, 109335, 101182, 11571, 59712, 108608, 103378, 125173, 21388, 103470, 46729, 30512, 105525, 31431, 106956, 76864, 198, 46729, 16144, 105525, 107691, 15682, 17792, 21990, 107809, 72661, 112366, 104297, 107898, 35330, 29295, 91875, 47884, 101513, 38093, 38641, 9174, 16995, 75694, 105525, 112586, 20834, 102131, 106046, 114598, 36896, 116414, 32149, 16937, 104874, 120937, 32149, 59712, 30926, 112772, 108895, 16995, 100472, 106592, 39926, 33334, 102334, 24273, 29295, 103424, 118544, 10646, 104309, 127408, 20230, 91763, 76947, 114732, 105494, 29295, 43240, 47884, 20834, 38144, 50834, 33541, 9174, 110924, 16556, 51330, 77219, 77181, 5486, 46729, 30512, 105525, 30369, 104983, 16144, 118789, 109904, 46034, 110480, 71289, 30926, 112772, 125338, 33334, 105898, 16995, 100909, 5486, 116900, 20230, 125338, 112987, 124324, 100909, 104309, 30512, 123011, 107436, 50338, 108323, 121256, 9174, 46729, 16144, 105525, 107691, 16556, 101128, 102, 126559, 24273, 15682, 110371, 77219, 30512, 121846, 20230, 19967, 101275, 30512, 103130, 107436, 64121, 38144, 72315, 9174, 30832, 33671, 198, 12, 220, 16, 111279, 30512, 105525, 30369, 104983, 16144, 19, 118821, 61633, 28542, 198, 12, 220, 17, 111279, 30512, 105525, 30369, 104983, 16144, 112984, 23187, 55031, 105525, 105368, 103296, 16144, 46034, 110480, 198, 12, 220, 18, 111279, 30512, 105525, 30369, 113009, 109215, 26854, 30926, 25580, 107253, 104874, 198, 12, 220, 19, 111279, 30512, 105525, 104533, 50834, 6269, 26854, 61633, 17663, 125231, 120098, 198, 12, 220, 20, 111279, 30512, 105525, 30369, 104983, 103732, 47884, 101182, 105284, 99397, 198, 12, 220, 21, 111279, 30512, 105525, 30369, 104983, 16144, 112984, 23187, 15682, 60868, 57933, 25197, 76739, 16144, 107740, 119279, 125683, 62004, 198, 12, 220, 22, 111279, 30512, 105525, 30369, 104983, 16144, 61633, 28542, 123011, 62004, 198, 567, 111279, 30512, 105525, 30369, 104983, 16144, 19, 118821, 61633, 28542, 198, 126843, 15682, 100204, 62004, 20230, 5486, 46729, 30512, 105525, 30369, 104983, 16144, 19, 118821, 61633, 28542, 109853, 38641, 9174, 46729, 16144, 105525, 105368, 15682, 110371, 19, 111831, 30512, 21105, 96, 107277, 19732, 114140, 39926, 55031, 23039, 30297, 104466, 103801, 109954, 9174, 14711, 111279, 16144, 105525, 105368, 16144, 89753, 33121, 71289, 117232, 30512, 102178, 111665, 39926, 33334, 47884, 198, 16, 59739, 118322, 61633, 28542, 103306, 5486, 46729, 16144, 105525, 105368, 16144, 89753, 33121, 71289, 105525, 104028, 103296, 16144, 117232, 30512, 102178, 111665, 39926, 33334, 47884, 105908, 107693, 38641, 9174, 108936, 112535, 46729, 16144, 105525, 105368, 15682, 88852, 16144, 46034, 110480, 16556, 23039, 123671, 33541, 9174, 12, 111279, 16144, 105525, 31431, 24273, 30512, 102647, 104369, 198, 12, 63091, 17620, 16144, 46729, 16144, 105525, 105368, 50021, 75267, 30512, 104873, 103854, 30369, 198, 12, 9085, 97, 229, 9039, 16144, 16937 ]
[ 91875, 106518, 108695, 16556, 112984, 23187, 117824, 30297, 198, 12, 87109, 91875, 106518, 108695, 110792, 120273, 103664, 41007, 30512, 102647, 104369, 198, 12, 111279, 30512, 105525, 31431, 121216, 105525, 107691, 120273, 103664, 30512, 102971, 104369, 198, 12, 123003, 35330, 16144, 104662, 111587, 30512, 15024, 46729, 30512, 113801, 110968, 17663, 198, 12, 123768, 234, 116033, 105184, 23187, 102782, 58655, 123410, 198, 105184, 23187, 102782, 58655, 30512, 21418, 47884, 21, 118821, 46034, 110480, 30512, 105721, 105262, 110115, 111476, 115274, 39926, 18, 113746, 21909, 21, 113746, 32149, 32149, 104533, 117952, 106824, 61689, 9174, 66378, 20230, 109076, 26892, 38144, 53953, 14558, 15682, 105525, 104028, 103296, 20230, 82973, 29295, 32149, 107277, 126172, 47884, 5486, 101544, 16995, 30832, 16556, 91774, 38144, 21, 113746, 15682, 91774, 38144, 33334, 102334, 24273, 29295, 103424, 117201, 109954, 9174, 53900, 5486, 53953, 14558, 16144, 105525, 104028, 105525, 110615, 15682, 117018, 120910, 71289, 39177, 23538, 5486, 53953, 14558, 16144, 121894, 113468, 32977, 119448, 47884, 108901, 26854, 31431, 33541, 9174, 46729, 30512, 105525, 105368, 54926, 104983, 15682, 85701, 120577, 117232, 30512, 102178, 111665, 56051, 17905, 16556, 5486, 103911, 23187, 30512, 121697, 30369, 112973, 102832, 71634, 38641, 9174, 118789, 109904, 46034, 110480, 71289, 89753, 33121, 109853, 15682, 5486, 33671, 16144, 111831, 13177, 10646, 16556, 50338, 108323, 109768, 50834, 33541, 9174, 14711, 111279, 30512, 105525, 104533, 50834, 112649, 117295, 106382, 11883, 30512, 102178, 111665, 39926, 33334, 47884, 198, 46729, 30512, 105525, 30369, 104983, 102052, 88852, 120950, 106382, 11883, 29295, 32149, 107277, 33541, 9174, 91, 106382, 11883, 198, 91, 116718, 198, 91, 16937, 91875, 106518, 108695, 111363, 113850, 75910, 46034, 9039, 42506, 198, 91, 18655, 73686, 121374, 18028, 18, 4, 10, 1399, 11, 931, 35757, 198, 10110, 18655, 73686, 121374, 29295, 3443, 110743, 71689, 16144, 107803, 23954, 91, 104371, 112810, 85188, 198, 91, 605, 11, 931, 35757, 21909, 1399, 11, 931, 35757, 198, 10110, 18655, 73686, 35330, 109518, 20230, 106608, 100204, 38144, 108901, 109020, 23954, 91, 65743, 25333, 102181, 101559, 111363, 29741, 61304, 103963, 117943, 106382, 11883, 198, 91, 1135, 11, 931, 35757, 25580, 74482, 198, 91, 116875, 40265, 112607, 24326, 117, 33420, 106382, 11883, 198, 91, 16, 11, 931, 35757, 14, 16, 14558, 198, 91, 92148, 110, 110968, 32938, 50928, 85188, 198, 91, 18, 11, 931, 110743, 30512, 72404, 105262, 60632, 105576, 102404, 21990, 39177, 116771, 198, 91, 37823, 108526, 103202, 71289, 102040, 115474, 107167, 118928, 94550, 198, 10110, 109215, 26854, 107803, 116771, 23954, 91, 1135, 11, 931, 35757, 21909, 1049, 11, 931, 110743, 108680, 198, 91, 73686, 42891, 104087, 15024, 31640, 198, 91, 1041, 11, 931, 35757, 21909, 198, 85701, 33503, 116749, 105352, 198, 13177, 104371, 124140, 110322, 31958, 102181, 102404, 23039, 106382, 11883, 10646, 71289, 13177, 108867, 33857, 106382, 11883, 10646, 104309, 104398, 107188, 106382, 11883, 112987, 47884, 59739, 32149, 57903, 33541, 9174, 46729, 16144, 105525, 105368, 39177, 102052, 101182, 113314, 107608, 117864, 33334, 35330, 29295, 109215, 115717, 33541, 105879, 106116, 28542, 32977, 102178, 111665, 39926, 33334, 47884, 112973, 104521, 38641, 9174, 126738, 5486, 92148, 110, 110968, 32938, 50928, 85188, 109853, 15682, 103283, 77219, 72661, 50338, 108323, 103792, 103846, 5486, 18, 11, 931, 110743, 30512, 72404, 105262, 60632, 105576, 125334, 120550, 24273, 15682, 30591, 33503, 32149, 100204, 62004, 116696, 48552, 39926, 64121, 38144, 72315, 9174, 14711, 111279, 30512, 105525, 30369, 113009, 109215, 26854, 30926, 25580, 107253, 104874, 30512, 39926, 33334, 47884, 198, 30926, 25580, 107253, 104874, 103306, 111476, 126783, 42634, 107060, 16144, 19361, 43568, 71289, 109215, 26854, 102181, 104770, 16144, 107253, 104874, 32977, 39926, 33334, 50834, 17129, 109954, 9174, 30926, 112772, 114140, 56051, 16995, 111831, 15682, 88852, 16144, 18, 28542, 38641, 9174, 12, 118942, 110362, 42634, 107060, 16144, 19361, 43568, 198, 12, 111279, 30512, 105525, 30369, 25580, 19732, 105525, 100472, 123090, 115856, 117295, 106382, 11883, 198, 12, 111279, 16144, 105525, 107691, 16556, 109215, 26854, 102181, 104770, 198, 66378, 20230, 126783, 42634, 107060, 16144, 19361, 43568, 15682, 107693, 38641, 9174, 46729, 16144, 105525, 105368, 123090, 47406, 111587, 118765, 126513, 103283, 108968, 46034, 106307, 50834, 29295, 109215, 108176, 103846, 5486, 114140, 39926, 33334, 50834, 17129, 109954, 9174, 53900, 5486, 109215, 102181, 104770, 32977, 30926, 112772, 11883, 37689, 39926, 33334, 126145, 102924, 60632, 38641, 9174, 114225, 20230, 102404, 23039, 118765, 102181, 104770, 32977, 101182, 103846, 108149, 33503, 32149, 100204, 62004, 102178, 111665, 39926, 33334, 50834, 17129, 109954, 9174, 14711, 111279, 30512, 105525, 104533, 50834, 20230, 125338, 112987, 124324, 106592, 114140, 54926, 198, 114626, 20230, 46729, 30512, 105525, 104533, 50834, 20230, 125338, 112987, 124324, 106592, 114140, 78434, 9174, 118789, 9554, 102052, 88852, 16144, 20, 59739, 38641, 9174, 12, 220, 16, 118821, 16937, 91875, 106518, 108695, 16556, 103378, 112984, 23187, 54926, 198, 12, 110944, 110, 105368, 16144, 113009, 114834, 30512, 37823, 108526, 103202, 54926, 198, 12, 110758, 75267, 110162, 76622, 106627, 103468, 105525, 105368, 121374, 16556, 105525, 31431, 121406, 198, 12, 111279, 16144, 109606, 28542, 71289, 105260, 51609, 109904, 68408, 39850, 37823, 67075, 30512, 125062, 17663, 198, 12, 110944, 110, 107691, 19967, 101275, 30512, 37087, 38144, 16937, 91875, 106518, 20230, 103057, 101832, 30369, 198, 118789, 109904, 44915, 15682, 74482, 103268, 16556, 50338, 108323, 78434, 29295, 115847, 33503, 20, 118821, 111831, 15682, 37087, 38144, 125338, 112987, 124324, 100909, 115717, 33541, 9174, 124042, 112535, 125173, 39926, 114604, 31431, 5486, 46729, 29295, 105525, 33121, 123733, 76947, 114732, 125396, 32977, 101182, 103846, 5486, 30926, 112772, 102178, 111665, 39926, 33334, 50834, 17129, 109954, 9174, 567, 111279, 30512, 105525, 30369, 104983, 16144, 112984, 23187, 55031, 105525, 105368, 103296, 16144, 46034, 110480, 198, 108936, 112535, 46729, 30512, 105525, 30369, 104983, 15682, 5486, 88852, 22, 118821, 103188, 39607, 16556, 103130, 62004, 100481, 50834, 33541, 9174, 12, 111279, 16144, 105525, 31431, 24273, 30512, 104662, 109315, 198, 12, 63091, 17620, 16556, 46729, 16144, 105525, 105368, 50021, 75267, 30512, 104873, 103854, 30369, 198, 77693, 108422, 33121, 16144, 89753, 33121, 109853, 50520, 111, 106624, 64121, 100481, 50834, 17129, 109954, 9174, 14711, 109006, 110480, 20713, 5232, 46729, 16144, 105525, 31431, 24273, 30512, 104662, 109315, 198, 46729, 30512, 105525, 30369, 41007, 15682, 198, 13177, 113850, 75910, 59712, 107691, 18655, 59712, 121568, 18655, 73686, 117503, 18, 118821, 41007, 115991, 33541, 9174, 77693, 108422, 33121, 16144, 39850, 37823, 67075, 19732, 68408, 39850, 37823, 67075, 15682, 88852, 16144, 121640, 38641, 9174, 91, 46034, 110480, 198, 91, 39850, 37823, 67075, 198, 91, 68408, 39850, 37823, 67075, 198, 91, 113850, 75910, 198, 91, 16937, 91875, 106518, 113850, 75910, 16556, 18655, 73686, 54926, 198, 91, 46729, 29295, 45736, 47884, 105525, 104028, 198, 91, 82973, 29295, 32149, 117295, 198, 91, 107691, 18655, 198, 91, 16937, 91875, 106518, 29295, 107691, 18655, 117824, 30297, 198, 91, 46729, 29295, 114225, 20230, 105525, 104028, 198, 91, 105525, 105368, 109518, 29295, 2031, 4, 108680, 108176, 198, 91, 121568, 18655, 73686, 198, 91, 102159, 114516, 16556, 18655, 73686, 54926, 198, 91, 46034, 9039, 42506, 104309, 29295, 103470, 198, 35330, 103842, 255, 28190, 113245, 39850, 37823, 67075, 29295, 119448, 16995, 198, 91, 114363, 103722, 16144, 53283, 109375, 29295, 109215, 16556, 198, 102040, 65575, 33710, 29295, 126574, 198, 109242, 9039, 16144, 16937, 91875, 106518, 108695, 29295, 46729, 16144, 107691, 36668, 30512, 106767, 39926, 124089, 103846, 5486, 115364, 110526, 20230, 40862, 100472, 107691, 18655, 30512, 39926, 124089, 17792, 104088, 126268, 126172, 47884, 124563, 33334, 32149, 59739, 107691, 36668, 16144, 40452, 104309, 32977, 23039, 114598, 33503, 58942, 33541, 9174, 18, 118821, 117591, 32335, 32977, 43240, 47884, 102647, 81219, 104028, 41007, 29295, 16937, 91875, 106518, 29295, 13177, 113850, 75910, 10646, 38641, 9174, 90620, 15024, 112160, 55031, 107691, 18655, 36668, 30512, 106767, 17663, 100909, 108176, 103846, 5486, 120007, 104088, 59739, 105784, 103296, 20230, 82973, 29295, 109215, 38641, 9174, 33334, 33334, 57980, 27929, 18, 113746, 21909, 21, 113746, 29295, 117232, 16144, 30832, 108968, 16556, 5486, 82973, 119707, 107441, 32977, 21105, 96, 107277, 105525, 31431, 106956, 102677, 24273, 107898, 125683, 62004, 16144, 41007, 115717, 33541, 9174, 15120, 24273, 16556, 105047, 117201, 33334, 35330, 29295, 111654, 102800, 24273, 71289, 198, 114225, 20230, 46729, 30512, 105525, 105368, 56051, 16995, 102677, 24273, 15682, 13177, 107691, 18655, 10646, 119279, 125683, 62004, 38641, 9174, 107691, 18655, 15682, 120613, 16144, 121640, 5486, 16937, 91875, 106518, 108695, 29295, 46729, 30512, 107691, 16995, 18655, 76947, 124089, 41007, 16556, 5486, 50021, 75267, 16144, 2031, 4, 113314, 16144, 42506, 35330, 16556, 46729, 30512, 105525, 105368, 54926, 100909, 115717, 33541, 9174, 19732, 112649, 47884, 103856, 47884, 46729, 30512, 105525, 31431, 106956, 24273, 71289, 966, 4, 113314, 105110, 95221, 20230, 21105, 103, 16995, 102677, 24273, 15682, 107691, 18655, 30512, 102647, 104127, 64121, 104533, 103424, 117201, 109954, 9174, 80539, 114626, 16144, 41007, 29295, 111476, 102159, 114516, 16556, 18655, 73686, 123410, 13177, 121568, 18655, 73686, 10646, 38641, 9174, 121568, 18655, 73686, 15682, 113850, 75910, 42506, 104309, 119703, 103846, 5486, 35330, 103842, 255, 28190, 113245, 39850, 37823, 67075, 29295, 32335, 32977, 119448, 115737, 31431, 33541, 9174, 90620, 15024, 5486, 108038, 20230, 102159, 114516, 113245, 18655, 73686, 108176, 103846, 33334, 106483, 119178, 114363, 103722, 16144, 53283, 109375, 29295, 109215, 16556, 5486, 46034, 121953, 29295, 72718, 105898, 31431, 20251, 32131, 112193, 29295, 72718, 105898, 31431, 54926, 125396, 29295, 126574, 38641, 9174, 58426, 103846, 102040, 65575, 33710, 29295, 45736, 47884, 5486, 108936, 17792, 70141, 76622, 107118, 78244, 119841, 123253, 9174, 85707, 107436, 46729, 30512, 105525, 30369, 24273, 71289, 105047, 26854, 103087, 35330, 29295, 109215, 16556, 100604, 24273, 71289, 5486, 16937, 91875, 106518, 113850, 75910, 111848, 122626, 30512, 102647, 104127, 64121, 38144, 72315, 9174, 14711, 109006, 110480, 17, 5232, 105994, 16556, 46729, 16144, 105525, 105368, 50021, 75267, 30512, 104873, 103854, 30369, 198, 46729, 16144, 124042, 109904, 112984, 23187, 15682, 16937, 91875, 106518, 120650, 114598, 33503, 61689, 29295, 106116, 112772, 105994, 72661, 105525, 105368, 50021, 75267, 30512, 114140, 103801, 109954, 9174, 101182, 113314, 16144, 50021, 75267, 30512, 30926, 112772, 102178, 111665, 39926, 33334, 126660, 19732, 5486, 16937, 91875, 106518, 29295, 46239, 54926, 35330, 109518, 29295, 67645, 33121, 120264, 37656, 105184, 116421, 122225, 29295, 103082, 107515, 9174, 46729, 16144, 50021, 75267, 30512, 104873, 103854, 30369, 16144, 107898, 125683, 62004, 16144, 41007, 29295, 13177, 60868, 57933, 25197, 76739, 10646, 38641, 9174, 60868, 57933, 25197, 76739, 77181, 5486, 117018, 71289, 53953, 14558, 16144, 108134, 30512, 17701, 48634, 54926, 121142, 105994, 20230, 68759, 108981, 56051, 16937, 91875, 106518, 30512, 106767, 15024, 121216, 5486, 122270, 58426, 16937, 91875, 106518, 55031, 46729, 16144, 105525, 105368, 50021, 75267, 30512, 53283, 30369, 105908, 125545, 9174, 110191, 118372, 16556, 112825, 110904, 20230, 46034, 106307, 50834, 108608, 103846, 5486, 50021, 75267, 30512, 53283, 31431, 106956, 24273, 15682, 107740, 39926, 64121, 38144, 72315, 9174, 14711, 109006, 110480, 34617, 5232, 109242, 9039, 16144, 16937, 91875, 106518, 108695, 16556, 112984, 23187, 117824, 30297, 198, 105994, 16556, 50021, 75267, 16144, 30832, 51385, 29295, 47000, 102334, 33503, 5486, 103350, 104983, 20230, 16937, 91875, 106518, 108695, 20230, 112984, 23187, 120837, 110706, 17129, 109954, 9174, 46729, 16144, 112984, 23187, 102052, 5486, 108134, 121142, 112984, 23187, 123410, 13177, 33748, 17905, 112984, 23187, 66383, 103350, 104983, 20230, 102321, 30590, 20230, 102780, 30512, 103768, 104127, 112984, 23187, 54926, 13177, 120824, 99397, 112984, 23187, 10646, 115991, 33541, 29295, 5486, 110382, 77181, 105755, 37656, 105184, 26854, 13177, 120824, 99397, 112984, 23187, 10646, 119279, 125683, 62004, 38641, 9174, 51330, 120824, 99397, 112984, 23187, 30512, 109242, 9039, 16144, 16937, 91875, 106518, 108695, 20230, 103963, 117943, 78434, 9174, 16937, 91875, 106518, 108695, 16, 61337, 116771, 118816, 5486, 105994, 29295, 91763, 100472, 105525, 105368, 109518, 110162, 76622, 106627, 103468, 35330, 109518, 117084, 114732, 115789, 101182, 103846, 111476, 59614, 101860, 109242, 9039, 61337, 20230, 103963, 117943, 54926, 104466, 103801, 109954, 9174, 14711, 109006, 110480, 46702, 5232, 16937, 91875, 106518, 108695, 110792, 120273, 103664, 41007, 30512, 102647, 104369, 198, 105994, 20230, 40862, 100472, 16937, 91875, 106518, 108695, 29295, 91774, 59739, 102518, 33503, 106116, 16937, 91875, 106518, 108695, 19732, 120273, 103664, 30512, 102971, 102802, 33541, 9174, 120273, 103664, 16144, 104091, 104770, 15682, 88852, 16144, 18, 59739, 38641, 9174, 91, 120273, 103664, 16144, 104091, 104770, 198, 91, 114363, 103204, 114363, 49988, 111267, 75910, 120273, 103664, 198, 7, 16937, 91875, 106518, 16, 61337, 19732, 120273, 103664, 340, 91, 9458, 112167, 101275, 112415, 16144, 120270, 30512, 32335, 32977, 118430, 118095, 116446, 124089, 198, 9458, 108882, 110993, 112535, 122626, 112415, 30512, 39926, 124089, 198, 9458, 60868, 121057, 29295, 105843, 103350, 103792, 198, 91, 9458, 105994, 16556, 107691, 16995, 46034, 104088, 126268, 102204, 100604, 198, 9458, 16937, 91875, 106518, 16144, 120772, 29295, 107693, 108176, 198, 91, 114363, 49988, 111267, 75910, 120273, 103664, 198, 91, 9458, 112167, 101275, 112415, 16144, 120270, 30512, 118430, 118095, 116446, 124089, 198, 91, 9458, 16937, 91875, 106518, 16144, 120772, 29295, 107693, 108176, 198, 91, 108936, 111267, 75910, 120273, 103664, 198, 7, 109242, 9039, 61337, 19732, 120273, 103664, 340, 91, 9458, 109242, 9039, 61337, 20230, 103963, 117943, 108608, 103846, 107691, 16995, 46034, 16144, 111044, 29295, 108285, 16995, 198, 9458, 114300, 106106, 37689 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 106518, 108695, 16556, 112984, 23187, 117824, 30297, 198, 12, 87109, 91875, 106518, 108695, 110792, 120273, 103664, 41007, 30512, 102647, 104369, 198, 12, 111279, 30512, 105525, 31431, 121216, 105525, 107691, 120273, 103664, 30512, 102971, 104369, 198, 12, 123003, 35330, 16144, 104662, 111587, 30512, 15024, 46729, 30512, 113801, 110968, 17663, 198, 12, 123768, 234, 116033, 105184, 23187, 102782, 58655, 123410, 198, 105184, 23187, 102782, 58655, 30512, 21418, 47884, 21, 118821, 46034, 110480, 30512, 105721, 105262, 110115, 111476, 115274, 39926, 18, 113746, 21909, 21, 113746, 32149, 32149, 104533, 117952, 106824, 61689, 9174, 66378, 20230, 109076, 26892, 38144, 53953, 14558, 15682, 105525, 104028, 103296, 20230, 82973, 29295, 32149, 107277, 126172, 47884, 5486, 101544, 16995, 30832, 16556, 91774, 38144, 21, 113746, 15682, 91774, 38144, 33334, 102334, 24273, 29295, 103424, 117201, 109954, 9174, 53900, 5486, 53953, 14558, 16144, 105525, 104028, 105525, 110615, 15682, 117018, 120910, 71289, 39177, 23538, 5486, 53953, 14558, 16144, 121894, 113468, 32977, 119448, 47884, 108901, 26854, 31431, 33541, 9174, 46729, 30512, 105525, 105368, 54926, 104983, 15682, 85701, 120577, 117232, 30512, 102178, 111665, 56051, 17905, 16556, 5486, 103911, 23187, 30512, 121697, 30369, 112973, 102832, 71634, 38641, 9174, 118789, 109904, 46034, 110480, 71289, 89753, 33121, 109853, 15682, 5486, 33671, 16144, 111831, 13177, 10646, 16556, 50338, 108323, 109768, 50834, 33541, 9174, 14711, 111279, 30512, 105525, 104533, 50834, 112649, 117295, 106382, 11883, 30512, 102178, 111665, 39926, 33334, 47884, 198, 46729, 30512, 105525, 30369, 104983, 102052, 88852, 120950, 106382, 11883, 29295, 32149, 107277, 33541, 9174, 91, 106382, 11883, 198, 91, 116718, 198, 91, 16937, 91875, 106518, 108695, 111363, 113850, 75910, 46034, 9039, 42506, 198, 91, 18655, 73686, 121374, 18028, 18, 4, 10, 1399, 11, 931, 35757, 198, 10110, 18655, 73686, 121374, 29295, 3443, 110743, 71689, 16144, 107803, 23954, 91, 104371, 112810, 85188, 198, 91, 605, 11, 931, 35757, 21909, 1399, 11, 931, 35757, 198, 10110, 18655, 73686, 35330, 109518, 20230, 106608, 100204, 38144, 108901, 109020, 23954, 91, 65743, 25333, 102181, 101559, 111363, 29741, 61304, 103963, 117943, 106382, 11883, 198, 91, 1135, 11, 931, 35757, 25580, 74482, 198, 91, 116875, 40265, 112607, 24326, 117, 33420, 106382, 11883, 198, 91, 16, 11, 931, 35757, 14, 16, 14558, 198, 91, 92148, 110, 110968, 32938, 50928, 85188, 198, 91, 18, 11, 931, 110743, 30512, 72404, 105262, 60632, 105576, 102404, 21990, 39177, 116771, 198, 91, 37823, 108526, 103202, 71289, 102040, 115474, 107167, 118928, 94550, 198, 10110, 109215, 26854, 107803, 116771, 23954, 91, 1135, 11, 931, 35757, 21909, 1049, 11, 931, 110743, 108680, 198, 91, 73686, 42891, 104087, 15024, 31640, 198, 91, 1041, 11, 931, 35757, 21909, 198, 85701, 33503, 116749, 105352, 198, 13177, 104371, 124140, 110322, 31958, 102181, 102404, 23039, 106382, 11883, 10646, 71289, 13177, 108867, 33857, 106382, 11883, 10646, 104309, 104398, 107188, 106382, 11883, 112987, 47884, 59739, 32149, 57903, 33541, 9174, 46729, 16144, 105525, 105368, 39177, 102052, 101182, 113314, 107608, 117864, 33334, 35330, 29295, 109215, 115717, 33541, 105879, 106116, 28542, 32977, 102178, 111665, 39926, 33334, 47884, 112973, 104521, 38641, 9174, 126738, 5486, 92148, 110, 110968, 32938, 50928, 85188, 109853, 15682, 103283, 77219, 72661, 50338, 108323, 103792, 103846, 5486, 18, 11, 931, 110743, 30512, 72404, 105262, 60632, 105576, 125334, 120550, 24273, 15682, 30591, 33503, 32149, 100204, 62004, 116696, 48552, 39926, 64121, 38144, 72315, 9174, 14711, 111279, 30512, 105525, 30369, 113009, 109215, 26854, 30926, 25580, 107253, 104874, 30512, 39926, 33334, 47884, 198, 30926, 25580, 107253, 104874, 103306, 111476, 126783, 42634, 107060, 16144, 19361, 43568, 71289, 109215, 26854, 102181, 104770, 16144, 107253, 104874, 32977, 39926, 33334, 50834, 17129, 109954, 9174, 30926, 112772, 114140, 56051, 16995, 111831, 15682, 88852, 16144, 18, 28542, 38641, 9174, 12, 118942, 110362, 42634, 107060, 16144, 19361, 43568, 198, 12, 111279, 30512, 105525, 30369, 25580, 19732, 105525, 100472, 123090, 115856, 117295, 106382, 11883, 198, 12, 111279, 16144, 105525, 107691, 16556, 109215, 26854, 102181, 104770, 198, 66378, 20230, 126783, 42634, 107060, 16144, 19361, 43568, 15682, 107693, 38641, 9174, 46729, 16144, 105525, 105368, 123090, 47406, 111587, 118765, 126513, 103283, 108968, 46034, 106307, 50834, 29295, 109215, 108176, 103846, 5486, 114140, 39926, 33334, 50834, 17129, 109954, 9174, 53900, 5486, 109215, 102181, 104770, 32977, 30926, 112772, 11883, 37689, 39926, 33334, 126145, 102924, 60632, 38641, 9174, 114225, 20230, 102404, 23039, 118765, 102181, 104770, 32977, 101182, 103846, 108149, 33503, 32149, 100204, 62004, 102178, 111665, 39926, 33334, 50834, 17129, 109954, 9174, 14711, 111279, 30512, 105525, 104533, 50834, 20230, 125338, 112987, 124324, 106592, 114140, 54926, 198, 114626, 20230, 46729, 30512, 105525, 104533, 50834, 20230, 125338, 112987, 124324, 106592, 114140, 78434, 9174, 118789, 9554, 102052, 88852, 16144, 20, 59739, 38641, 9174, 12, 220, 16, 118821, 16937, 91875, 106518, 108695, 16556, 103378, 112984, 23187, 54926, 198, 12, 110944, 110, 105368, 16144, 113009, 114834, 30512, 37823, 108526, 103202, 54926, 198, 12, 110758, 75267, 110162, 76622, 106627, 103468, 105525, 105368, 121374, 16556, 105525, 31431, 121406, 198, 12, 111279, 16144, 109606, 28542, 71289, 105260, 51609, 109904, 68408, 39850, 37823, 67075, 30512, 125062, 17663, 198, 12, 110944, 110, 107691, 19967, 101275, 30512, 37087, 38144, 16937, 91875, 106518, 20230, 103057, 101832, 30369, 198, 118789, 109904, 44915, 15682, 74482, 103268, 16556, 50338, 108323, 78434, 29295, 115847, 33503, 20, 118821, 111831, 15682, 37087, 38144, 125338, 112987, 124324, 100909, 115717, 33541, 9174, 124042, 112535, 125173, 39926, 114604, 31431, 5486, 46729, 29295, 105525, 33121, 123733, 76947, 114732, 125396, 32977, 101182, 103846, 5486, 30926, 112772, 102178, 111665, 39926, 33334, 50834, 17129, 109954, 9174, 567, 111279, 30512, 105525, 30369, 104983, 16144, 112984, 23187, 55031, 105525, 105368, 103296, 16144, 46034, 110480, 198, 108936, 112535, 46729, 30512, 105525, 30369, 104983, 15682, 5486, 88852, 22, 118821, 103188, 39607, 16556, 103130, 62004, 100481, 50834, 33541, 9174, 12, 111279, 16144, 105525, 31431, 24273, 30512, 104662, 109315, 198, 12, 63091, 17620, 16556, 46729, 16144, 105525, 105368, 50021, 75267, 30512, 104873, 103854, 30369, 198, 77693, 108422, 33121, 16144, 89753, 33121, 109853, 50520, 111, 106624, 64121, 100481, 50834, 17129, 109954, 9174, 14711, 109006, 110480, 20713, 5232, 46729, 16144, 105525, 31431, 24273, 30512, 104662, 109315, 198, 46729, 30512, 105525, 30369, 41007, 15682, 198, 13177, 113850, 75910, 59712, 107691, 18655, 59712, 121568, 18655, 73686, 117503, 18, 118821, 41007, 115991, 33541, 9174, 77693, 108422, 33121, 16144, 39850, 37823, 67075, 19732, 68408, 39850, 37823, 67075, 15682, 88852, 16144, 121640, 38641, 9174, 91, 46034, 110480, 198, 91, 39850, 37823, 67075, 198, 91, 68408, 39850, 37823, 67075, 198, 91, 113850, 75910, 198, 91, 16937, 91875, 106518, 113850, 75910, 16556, 18655, 73686, 54926, 198, 91, 46729, 29295, 45736, 47884, 105525, 104028, 198, 91, 82973, 29295, 32149, 117295, 198, 91, 107691, 18655, 198, 91, 16937, 91875, 106518, 29295, 107691, 18655, 117824, 30297, 198, 91, 46729, 29295, 114225, 20230, 105525, 104028, 198, 91, 105525, 105368, 109518, 29295, 2031, 4, 108680, 108176, 198, 91, 121568, 18655, 73686, 198, 91, 102159, 114516, 16556, 18655, 73686, 54926, 198, 91, 46034, 9039, 42506, 104309, 29295, 103470, 198, 35330, 103842, 255, 28190, 113245, 39850, 37823, 67075, 29295, 119448, 16995, 198, 91, 114363, 103722, 16144, 53283, 109375, 29295, 109215, 16556, 198, 102040, 65575, 33710, 29295, 126574, 198, 109242, 9039, 16144, 16937, 91875, 106518, 108695, 29295, 46729, 16144, 107691, 36668, 30512, 106767, 39926, 124089, 103846, 5486, 115364, 110526, 20230, 40862, 100472, 107691, 18655, 30512, 39926, 124089, 17792, 104088, 126268, 126172, 47884, 124563, 33334, 32149, 59739, 107691, 36668, 16144, 40452, 104309, 32977, 23039, 114598, 33503, 58942, 33541, 9174, 18, 118821, 117591, 32335, 32977, 43240, 47884, 102647, 81219, 104028, 41007, 29295, 16937, 91875, 106518, 29295, 13177, 113850, 75910, 10646, 38641, 9174, 90620, 15024, 112160, 55031, 107691, 18655, 36668, 30512, 106767, 17663, 100909, 108176, 103846, 5486, 120007, 104088, 59739, 105784, 103296, 20230, 82973, 29295, 109215, 38641, 9174, 33334, 33334, 57980, 27929, 18, 113746, 21909, 21, 113746, 29295, 117232, 16144, 30832, 108968, 16556, 5486, 82973, 119707, 107441, 32977, 21105, 96, 107277, 105525, 31431, 106956, 102677, 24273, 107898, 125683, 62004, 16144, 41007, 115717, 33541, 9174, 15120, 24273, 16556, 105047, 117201, 33334, 35330, 29295, 111654, 102800, 24273, 71289, 198, 114225, 20230, 46729, 30512, 105525, 105368, 56051, 16995, 102677, 24273, 15682, 13177, 107691, 18655, 10646, 119279, 125683, 62004, 38641, 9174, 107691, 18655, 15682, 120613, 16144, 121640, 5486, 16937, 91875, 106518, 108695, 29295, 46729, 30512, 107691, 16995, 18655, 76947, 124089, 41007, 16556, 5486, 50021, 75267, 16144, 2031, 4, 113314, 16144, 42506, 35330, 16556, 46729, 30512, 105525, 105368, 54926, 100909, 115717, 33541, 9174, 19732, 112649, 47884, 103856, 47884, 46729, 30512, 105525, 31431, 106956, 24273, 71289, 966, 4, 113314, 105110, 95221, 20230, 21105, 103, 16995, 102677, 24273, 15682, 107691, 18655, 30512, 102647, 104127, 64121, 104533, 103424, 117201, 109954, 9174, 80539, 114626, 16144, 41007, 29295, 111476, 102159, 114516, 16556, 18655, 73686, 123410, 13177, 121568, 18655, 73686, 10646, 38641, 9174, 121568, 18655, 73686, 15682, 113850, 75910, 42506, 104309, 119703, 103846, 5486, 35330, 103842, 255, 28190, 113245, 39850, 37823, 67075, 29295, 32335, 32977, 119448, 115737, 31431, 33541, 9174, 90620, 15024, 5486, 108038, 20230, 102159, 114516, 113245, 18655, 73686, 108176, 103846, 33334, 106483, 119178, 114363, 103722, 16144, 53283, 109375, 29295, 109215, 16556, 5486, 46034, 121953, 29295, 72718, 105898, 31431, 20251, 32131, 112193, 29295, 72718, 105898, 31431, 54926, 125396, 29295, 126574, 38641, 9174, 58426, 103846, 102040, 65575, 33710, 29295, 45736, 47884, 5486, 108936, 17792, 70141, 76622, 107118, 78244, 119841, 123253, 9174, 85707, 107436, 46729, 30512, 105525, 30369, 24273, 71289, 105047, 26854, 103087, 35330, 29295, 109215, 16556, 100604, 24273, 71289, 5486, 16937, 91875, 106518, 113850, 75910, 111848, 122626, 30512, 102647, 104127, 64121, 38144, 72315, 9174, 14711, 109006, 110480, 17, 5232, 105994, 16556, 46729, 16144, 105525, 105368, 50021, 75267, 30512, 104873, 103854, 30369, 198, 46729, 16144, 124042, 109904, 112984, 23187, 15682, 16937, 91875, 106518, 120650, 114598, 33503, 61689, 29295, 106116, 112772, 105994, 72661, 105525, 105368, 50021, 75267, 30512, 114140, 103801, 109954, 9174, 101182, 113314, 16144, 50021, 75267, 30512, 30926, 112772, 102178, 111665, 39926, 33334, 126660, 19732, 5486, 16937, 91875, 106518, 29295, 46239, 54926, 35330, 109518, 29295, 67645, 33121, 120264, 37656, 105184, 116421, 122225, 29295, 103082, 107515, 9174, 46729, 16144, 50021, 75267, 30512, 104873, 103854, 30369, 16144, 107898, 125683, 62004, 16144, 41007, 29295, 13177, 60868, 57933, 25197, 76739, 10646, 38641, 9174, 60868, 57933, 25197, 76739, 77181, 5486, 117018, 71289, 53953, 14558, 16144, 108134, 30512, 17701, 48634, 54926, 121142, 105994, 20230, 68759, 108981, 56051, 16937, 91875, 106518, 30512, 106767, 15024, 121216, 5486, 122270, 58426, 16937, 91875, 106518, 55031, 46729, 16144, 105525, 105368, 50021, 75267, 30512, 53283, 30369, 105908, 125545, 9174, 110191, 118372, 16556, 112825, 110904, 20230, 46034, 106307, 50834, 108608, 103846, 5486, 50021, 75267, 30512, 53283, 31431, 106956, 24273, 15682, 107740, 39926, 64121, 38144, 72315, 9174, 14711, 109006, 110480, 34617, 5232, 109242, 9039, 16144, 16937, 91875, 106518, 108695, 16556, 112984, 23187, 117824, 30297, 198, 105994, 16556, 50021, 75267, 16144, 30832, 51385, 29295, 47000, 102334, 33503, 5486, 103350, 104983, 20230, 16937, 91875, 106518, 108695, 20230, 112984, 23187, 120837, 110706, 17129, 109954, 9174, 46729, 16144, 112984, 23187, 102052, 5486, 108134, 121142, 112984, 23187, 123410, 13177, 33748, 17905, 112984, 23187, 66383, 103350, 104983, 20230, 102321, 30590, 20230, 102780, 30512, 103768, 104127, 112984, 23187, 54926, 13177, 120824, 99397, 112984, 23187, 10646, 115991, 33541, 29295, 5486, 110382, 77181, 105755, 37656, 105184, 26854, 13177, 120824, 99397, 112984, 23187, 10646, 119279, 125683, 62004, 38641, 9174, 51330, 120824, 99397, 112984, 23187, 30512, 109242, 9039, 16144, 16937, 91875, 106518, 108695, 20230, 103963, 117943, 78434, 9174, 16937, 91875, 106518, 108695, 16, 61337, 116771, 118816, 5486, 105994, 29295, 91763, 100472, 105525, 105368, 109518, 110162, 76622, 106627, 103468, 35330, 109518, 117084, 114732, 115789, 101182, 103846, 111476, 59614, 101860, 109242, 9039, 61337, 20230, 103963, 117943, 54926, 104466, 103801, 109954, 9174, 14711, 109006, 110480, 46702, 5232, 16937, 91875, 106518, 108695, 110792, 120273, 103664, 41007, 30512, 102647, 104369, 198, 105994, 20230, 40862, 100472, 16937, 91875, 106518, 108695, 29295, 91774, 59739, 102518, 33503, 106116, 16937, 91875, 106518, 108695, 19732, 120273, 103664, 30512, 102971, 102802, 33541, 9174, 120273, 103664, 16144, 104091, 104770, 15682, 88852, 16144, 18, 59739, 38641, 9174, 91, 120273, 103664, 16144, 104091, 104770, 198, 91, 114363, 103204, 114363, 49988, 111267, 75910, 120273, 103664, 198, 7, 16937, 91875, 106518, 16, 61337, 19732, 120273, 103664, 340, 91, 9458, 112167, 101275, 112415, 16144, 120270, 30512, 32335, 32977, 118430, 118095, 116446, 124089, 198, 9458, 108882, 110993, 112535, 122626, 112415, 30512, 39926, 124089, 198, 9458, 60868, 121057, 29295, 105843, 103350, 103792, 198, 91, 9458, 105994, 16556, 107691, 16995, 46034, 104088, 126268, 102204, 100604, 198, 9458, 16937, 91875, 106518, 16144, 120772, 29295, 107693, 108176, 198, 91, 114363, 49988, 111267, 75910, 120273, 103664, 198, 91, 9458, 112167, 101275, 112415, 16144, 120270, 30512, 118430, 118095, 116446, 124089, 198, 91, 9458, 16937, 91875, 106518, 16144, 120772, 29295, 107693, 108176, 198, 91, 108936, 111267, 75910, 120273, 103664, 198, 7, 109242, 9039, 61337, 19732, 120273, 103664, 340, 91, 9458, 109242, 9039, 61337, 20230, 103963, 117943, 108608, 103846, 107691, 16995, 46034, 16144, 111044, 29295, 108285, 16995, 198, 9458, 114300, 106106, 37689 ]
[ 109375, 16556, 5486, 112167, 101275, 112415, 29295, 76706, 102404, 108176, 198, 91, 9458, 112167, 101275, 16144, 112415, 120270, 119703, 198, 9458, 76706, 102404, 20230, 112167, 101275, 21105, 103, 16995, 105908, 101182, 198, 108936, 9554, 107898, 125683, 62004, 107001, 104468, 198, 13177, 114363, 103204, 114363, 49988, 111267, 75910, 120273, 103664, 10646, 32977, 106624, 15682, 13177, 114363, 49988, 111267, 75910, 120273, 103664, 10646, 38641, 9174, 51330, 17, 118821, 111267, 75910, 120273, 103664, 15682, 16937, 91875, 106518, 108695, 16144, 60868, 121057, 29295, 105843, 103350, 126020, 124563, 33334, 32149, 59739, 112167, 101275, 120270, 107407, 103846, 115515, 46729, 16144, 105525, 105368, 29295, 67645, 33121, 120264, 16144, 103130, 15017, 245, 26854, 104865, 30512, 106161, 39177, 114140, 125545, 9174, 105994, 20230, 40862, 100472, 16937, 91875, 106518, 104088, 59739, 107441, 36896, 114363, 103204, 114363, 49988, 111267, 75910, 120273, 103664, 10646, 32977, 106624, 15682, 13177, 114363, 49988, 111267, 75910, 120273, 103664, 118587, 102647, 104369, 19732, 103424, 117201, 109954, 9174, 14711, 109006, 110480, 44597, 5232, 46729, 30512, 105525, 31431, 121216, 105525, 107691, 120273, 103664, 30512, 102971, 104369, 32943, 111182, 38093, 16144, 117271, 123410, 198, 120273, 103664, 54926, 16937, 91875, 106518, 108695, 29295, 104662, 117864, 33503, 5486, 46729, 30512, 105525, 31431, 20834, 39926, 107691, 16995, 112909, 106767, 78434, 9174, 114363, 49988, 111267, 75910, 120273, 103664, 30512, 102971, 126559, 126513, 5486, 110382, 113245, 14167, 100, 65854, 117271, 71289, 32943, 111182, 38093, 16144, 9080, 39607, 104873, 64531, 5486, 109198, 17701, 110526, 112919, 40452, 15682, 37087, 38144, 16937, 91875, 106518, 108695, 29295, 23039, 76947, 120700, 33541, 9174, 105525, 36668, 103306, 16144, 117271, 15682, 13177, 32943, 111182, 38093, 10646, 116771, 38641, 9174, 32943, 111182, 38093, 15682, 5486, 109198, 17701, 110526, 30046, 29295, 109198, 17701, 54926, 32149, 104405, 32149, 30512, 104662, 109315, 108008, 20230, 107693, 26854, 38574, 106090, 115717, 33541, 9174, 61056, 53610, 36117, 251, 20230, 21980, 248, 33121, 15682, 36117, 250, 17129, 107462, 100604, 32149, 5486, 107983, 15682, 100990, 118, 114758, 20230, 103792, 32149, 5486, 118959, 102452, 20230, 71493, 91482, 15682, 21990, 58942, 126386, 32149, 104309, 5486, 104398, 107188, 105494, 103296, 116696, 48552, 39926, 111575, 16144, 121894, 16144, 46729, 126694, 76947, 33334, 50834, 17129, 109954, 9174, 19012, 225, 21418, 29295, 107202, 46034, 26854, 17792, 71289, 104398, 107188, 105494, 30512, 107420, 20230, 49988, 72342, 106956, 102677, 116537, 5486, 102040, 115474, 107167, 118928, 94550, 30512, 103963, 117943, 39926, 72315, 9174, 46729, 30512, 100990, 118, 114758, 26854, 121894, 116446, 33334, 47884, 118733, 5486, 109198, 17701, 30046, 32977, 120208, 114652, 46729, 30512, 109198, 17701, 125545, 9174, 14711, 109006, 110480, 60596, 5232, 105525, 107691, 120273, 103664, 30512, 102971, 104369, 198, 109198, 17701, 30046, 29295, 122074, 127564, 105525, 107691, 120273, 103664, 30512, 102971, 102802, 33541, 9174, 105525, 107691, 120273, 103664, 15682, 13177, 105525, 36668, 59712, 105525, 36668, 110366, 16144, 16937, 91875, 106518, 108695, 59712, 107691, 36668, 59712, 107691, 36668, 110366, 16144, 16937, 91875, 106518, 108695, 117503, 82420, 19, 30046, 29295, 43167, 76947, 23039, 123671, 33541, 9174, 105525, 107691, 120273, 103664, 102181, 30512, 104836, 24273, 29295, 114140, 15024, 5486, 120273, 103664, 44915, 20230, 109606, 29295, 123207, 120273, 103664, 116166, 38641, 9174, 126738, 110371, 110018, 105525, 36668, 29295, 105525, 105368, 35330, 109518, 112028, 34048, 30512, 46034, 47000, 35330, 10110, 105525, 105368, 109518, 16144, 20, 4, 21909, 508, 4, 7705, 103306, 101682, 76622, 108167, 33541, 9174, 105525, 36668, 15682, 58426, 46034, 47000, 35330, 112028, 34048, 30512, 16937, 91875, 106518, 111363, 113850, 75910, 46034, 9039, 42506, 103306, 110968, 15024, 5486, 105525, 107691, 120273, 103664, 15682, 47406, 35287, 121711, 33541, 9174, 14711, 109006, 110480, 66224, 5232, 31640, 35330, 16144, 104662, 111587, 30512, 15024, 46729, 30512, 113801, 110968, 17663, 198, 46729, 16144, 107691, 16995, 46034, 29295, 91774, 59739, 102518, 33503, 5486, 31640, 35330, 16144, 104662, 111587, 30512, 39926, 46729, 30512, 113801, 110968, 78434, 9174, 113801, 110968, 15024, 123410, 112772, 5486, 31640, 35330, 16144, 104662, 111587, 5486, 116875, 108324, 112607, 16144, 24326, 117, 33420, 46034, 106307, 50834, 71289, 56438, 112607, 16144, 60634, 108436, 46034, 106307, 50834, 104309, 16995, 47884, 59739, 116421, 19967, 101275, 107407, 103846, 108048, 33503, 29295, 47406, 35287, 33671, 30537, 5486, 46729, 16144, 113801, 110968, 15024, 117824, 16995, 17129, 109954, 9174, 53900, 5486, 19000, 110362, 42634, 107060, 29295, 108618, 103836, 24273, 15682, 5486, 106075, 103087, 61826, 16144, 114734, 101513, 97518, 110792, 56965, 16556, 115963, 20230, 104196, 111587, 117824, 61689, 9174, 113801, 110968, 15024, 15682, 46729, 30512, 100990, 118, 114758, 20230, 56051, 121894, 113245, 18655, 73686, 108176, 103846, 5486, 73686, 42891, 104087, 15024, 71289, 19012, 225, 21418, 123160, 19967, 101275, 15682, 50834, 43514, 127842, 105721, 78183, 117063, 38144, 33334, 102532, 17297, 65316, 9174, 14711, 109006, 110480, 66115, 5232, 105184, 23187, 102782, 58655, 117824, 30297, 198, 46729, 16144, 105525, 107691, 16556, 60632, 105576, 29295, 102404, 21990, 56051, 126513, 5486, 60632, 105576, 20230, 106608, 100204, 28713, 85188, 35330, 29295, 102404, 21990, 78434, 9174, 58426, 103846, 5486, 102048, 234, 8107, 17, 9953, 845, 9080, 21909, 18, 9953, 868, 117816, 60632, 105576, 17620, 16144, 105184, 23187, 102782, 58655, 29295, 109215, 38641, 9174, 53900, 5486, 85188, 35330, 30512, 103851, 21418, 54926, 124122, 198, 13177, 18, 11, 931, 110743, 16144, 103851, 21418, 66378, 27452, 10110, 18, 11, 931, 110743, 103296, 16144, 60632, 105576, 15682, 103048, 85188, 107001, 66378, 27452, 7705, 10646, 114475, 105784, 107803, 32977, 5486, 105184, 23187, 102782, 58655, 29295, 109215, 115717, 33541, 9174, 67645, 112384, 116446, 32977, 5486, 46729, 16144, 105525, 107691, 16556, 60632, 105576, 125334, 28713, 126513, 105184, 23187, 102782, 58655, 29295, 109215, 38641, 105879, 5486, 112727, 33121, 101860, 20230, 102782, 58655, 54926, 104466, 103801, 109954, 9174, 567, 111279, 30512, 105525, 30369, 113009, 109215, 26854, 30926, 25580, 107253, 104874, 198, 46729, 16144, 105525, 107691, 16144, 89753, 33121, 29295, 102178, 111665, 103082, 127567, 5486, 30926, 123628, 107253, 104874, 117824, 61689, 9174, 109215, 26854, 19967, 101275, 15682, 88852, 16144, 121640, 38641, 9174, 12, 118942, 110362, 42634, 107060, 16144, 19361, 43568, 30512, 104873, 103854, 30369, 198, 12, 111279, 30512, 105525, 30369, 124122, 106382, 11883, 71289, 105525, 105368, 123470, 85188, 35330, 104309, 30512, 104873, 103854, 30369, 198, 12, 66556, 116, 104770, 30512, 107253, 104874, 54926, 198, 77693, 108422, 33121, 16144, 44915, 109853, 64121, 100481, 50834, 17129, 109954, 9174, 14711, 118942, 110362, 42634, 107060, 16144, 19361, 43568, 30512, 104873, 103854, 30369, 198, 46729, 30512, 105525, 30369, 112772, 126783, 42634, 107060, 16144, 19361, 43568, 30512, 104873, 103854, 33541, 9174, 19000, 110362, 42634, 107060, 29295, 108618, 103836, 126513, 5486, 46729, 16144, 105525, 105368, 35330, 30512, 58426, 42634, 107060, 104196, 111587, 20230, 105843, 125655, 112973, 108936, 9554, 38641, 9174, 80673, 5486, 42634, 107060, 16144, 35330, 109518, 29295, 45736, 47884, 5486, 105525, 105368, 35330, 71289, 112599, 16144, 103087, 106518, 121142, 46456, 124237, 16995, 50834, 110615, 126513, 5486, 103283, 108968, 114734, 101513, 97518, 20230, 46034, 106307, 50834, 117824, 16995, 5486, 49988, 37689, 105525, 105368, 71289, 101987, 64121, 109913, 58942, 42634, 107060, 104309, 30512, 107740, 21105, 103, 118145, 26854, 31431, 107515, 9174, 58426, 103846, 5486, 46729, 30512, 105525, 105368, 54926, 112772, 42634, 107060, 16144, 108618, 101427, 113, 109518, 30512, 114140, 39926, 33334, 47884, 106592, 33334, 125683, 62004, 78434, 9174, 42634, 107060, 114556, 39926, 127408, 107407, 24273, 15682, 16937, 91875, 106518, 108695, 20230, 50021, 111813, 54926, 115789, 108608, 105879, 5486, 120273, 103664, 112772, 114140, 39926, 33334, 126145, 103424, 117201, 109954, 9174, 14711, 111279, 30512, 105525, 30369, 124122, 106382, 11883, 71289, 105525, 105368, 123470, 85188, 35330, 104309, 30512, 104873, 103854, 30369, 198, 46729, 30512, 105525, 30369, 102052, 5486, 113850, 75910, 46034, 9039, 42506, 71289, 46729, 16144, 39850, 108304, 96452, 107446, 42506, 104309, 118969, 75694, 17129, 26854, 106382, 11883, 29295, 32149, 107277, 33541, 9174, 77693, 108422, 33121, 13177, 46729, 30512, 105525, 30369, 25580, 59712, 46729, 30512, 105525, 100472, 74482, 10646, 20230, 17620, 107441, 64121, 100481, 50834, 17129, 109954, 9174, 827, 111279, 30512, 105525, 30369, 25580, 112649, 117295, 106382, 11883, 198, 46729, 30512, 105525, 30369, 103846, 102052, 5486, 36668, 20230, 88852, 16144, 106382, 11883, 29295, 109215, 38641, 9174, 66378, 20230, 27384, 112495, 35330, 109518, 29295, 13177, 16937, 91875, 106518, 111363, 113850, 75910, 46034, 9039, 42506, 10646, 38641, 9174, 16937, 91875, 106518, 111363, 113850, 75910, 46034, 9039, 42506, 15682, 5486, 17905, 61304, 21405, 20230, 61304, 107121, 56051, 122282, 29430, 20230, 21601, 107290, 33420, 106382, 85188, 32977, 102404, 21990, 54926, 103846, 5486, 107188, 31431, 45736, 109518, 115717, 33541, 9174, 103350, 104983, 20230, 46729, 16144, 105525, 105368, 109518, 30512, 17, 11, 931, 110743, 103306, 122282, 112990, 88852, 16144, 121640, 38641, 9174, 17, 11, 931, 110743, 25800, 220, 18, 4, 489, 220, 1399, 11, 931, 35757, 489, 6704, 28857, 106382, 85188, 605, 4, 10110, 2287, 11, 931, 35757, 7705, 28, 220, 24430, 11, 931, 35757, 198, 51330, 113850, 75910, 46034, 9039, 42506, 20230, 21601, 107290, 5486, 118969, 75694, 17129, 26854, 120328, 106382, 11883, 29295, 32149, 117295, 103846, 5486, 124572, 20230, 105525, 105368, 109518, 29295, 17, 11, 931, 110743, 118816, 112990, 5486, 46729, 30512, 105525, 30369, 124122, 106382, 11883, 15682, 13177, 40862, 82420, 1041, 110743, 21909, 1049, 110743, 108680, 10646, 16556, 101067, 23187, 39926, 33334, 126145, 56965, 121953, 100604, 123253, 9174, 827, 111279, 30512, 105525, 100472, 74482, 112649, 117295, 106382, 11883, 198, 46729, 30512, 105525, 100472, 74482, 112649, 117295, 106382, 11883, 29295, 13177, 92148, 110, 110968, 32938, 50928, 85188, 10646, 38641, 9174, 92148, 110, 110968, 32938, 50928, 85188, 15682, 5486, 46729, 16144, 105525, 107691, 16556, 60632, 105576, 125334, 28713, 107803, 116771, 102404, 21990, 54926, 85188, 35330, 16144, 118733, 5486, 46729, 30512, 56438, 107113, 8107, 9039, 20230, 106608, 100204, 38144, 85188, 96455, 29295, 104721, 116547, 33541, 9174, 91, 56438, 117232, 198, 91, 85188, 96455, 198, 91, 106649, 23538, 92148, 110, 110968, 32938, 50928, 10110, 56438, 117232, 29295, 20, 8107, 23897, 32943, 23954, 91, 2137, 13, 5495, 113127, 10110, 32938, 50928, 85188, 966, 4, 5486, 101987, 70821, 85188, 24, 4, 5486, 109095, 109834, 115612, 32938, 50928, 85188, 15, 13, 5495, 4, 23954, 91, 101544, 23538, 92148, 110, 110968, 32938, 50928, 10110, 56438, 117232, 29295, 20, 8107, 72404, 23954, 91, 508, 13, 15189, 113127, 10110, 32938, 50928, 85188, 868, 4, 5486, 101987, 70821, 85188, 20, 4, 5486, 109095, 109834, 115612, 32938, 50928, 85188, 15, 13, 15189, 113127, 23954, 90620, 15024, 5486, 60632, 105576, 125334, 28713, 107803, 32977, 66378, 27452, 71289, 103851, 21418, 30512, 126543, 54926, 118733, 85188, 35330, 30512, 103470, 17663, 105908, 125545, 9174, 46729, 16144, 105525, 107691, 16556, 66378, 20230, 33655, 126832, 112973, 13177, 18, 11, 931, 110743, 115612, 103851, 21418, 16144, 66378, 27452, 10646, 16556, 110371, 66378, 27452, 124905, 30297, 118733, 92148, 110, 110968, 32938, 50928, 29295, 18, 11, 931, 110743, 23897, 123727, 107803, 5486, 85188, 35330, 30512, 103048, 21418, 54926, 105908, 88367, 38641, 9174, 124572, 20230, 18, 11, 931, 110743, 30512, 72404, 105262, 107803, 72661, 18, 11, 931, 110743, 104364, 15024, 73686, 32149, 103468, 121894, 16556, 85188, 35330, 29295, 111681, 85188, 107001, 103846, 110745, 50834, 47884, 114485, 85188, 125545, 9174, 66378, 27452, 71289, 103851, 21418, 15682, 108008, 20230, 102924, 60632, 119627, 5486, 33655, 100472, 104983, 15682, 105184, 23187, 102782, 58655, 29295, 109215, 38641, 9174, 102048, 234, 8107, 17, 9953, 845, 9080, 21909, 18, 9953, 868, 117073, 122756, 112727, 33121, 101860, 20230, 102782, 58655, 54926, 104466, 103801, 109954, 9174, 14711, 66556, 116, 104770, 30512, 107253, 104874, 54926, 198, 46729, 30512, 105525, 107691, 54926, 104983, 102052, 5486, 108008, 20230, 43240, 119064, 102181, 104770, 29295, 109215, 115717, 33541, 9174, 59614, 116156, 26854, 102944, 19732, 30591, 104984, 102924, 60632, 26854, 102944, 30512, 123011, 62004, 79721, 9174, 91, 102181, 104770, 13372, 198, 91, 44915, 198, 91, 29741, 61304, 112607, 60632, 102181, 9458, 29741, 61304, 109375, 103283, 108134, 198, 91, 56438, 30046, 30512, 31958, 105184, 117657, 102181, 104770, 198, 91, 96356, 17620, 110322, 31958, 102181, 198, 91, 22656, 17792, 114140, 198, 91, 30590, 108882, 108867, 33857, 111629, 9458, 103496, 98220, 114140, 102181, 198, 91, 124175, 71289, 37795, 96, 30590, 110792, 103496, 98220, 29295, 31958, 20379, 103646, 102181, 104770, 198, 91, 124108, 103087, 106518, 85188, 108446, 85188, 198, 91, 124108, 103087, 106518, 85188, 16144, 108446, 85188, 102181, 198, 91, 103350, 104371, 19732, 104371, 124140, 110322, 31958, 198, 91, 35417, 112535, 104736, 62004, 109115, 104371, 124140, 198, 91, 124108, 103087, 106518, 107624, 95001, 110322, 31958, 102181, 198, 91, 124108, 103087, 106518, 16144, 103359, 47523, 108176, 102494, 101335, 16144, 107624, 95001, 109518, 29295, 115856, 32149, 103468, 102181, 104770, 198, 91, 127178, 114140, 111587, 110322, 9458, 111800, 112984, 111587, 110322, 198, 91, 127178, 75146, 107253, 25333, 20230, 108630, 103792, 116421, 110322, 31958, 102181, 198, 91, 26892, 53953, 16144, 111629, 28190, 9458, 35417, 111629, 198, 91, 26892, 53953, 16144, 56965, 108167, 30512, 61304, 107121, 56051, 102181, 104770, 198, 91, 53953, 14558, 127749, 50667, 120270, 102181, 198, 91, 26892, 53953, 9458, 117018, 16144, 127749, 30512, 116718, 20230, 61304, 56051, 102181, 104770, 198, 91, 108285, 58655, 71289, 80805, 118804, 123167, 10110, 84851, 28194, 101, 23954, 91, 46729, 105525, 105368, 11883, 16144, 80805, 118804, 123167, 198, 91, 42634, 107060, 101268, 253, 109818 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 109375, 16556, 5486, 112167, 101275, 112415, 29295, 76706, 102404, 108176, 198, 91, 9458, 112167, 101275, 16144, 112415, 120270, 119703, 198, 9458, 76706, 102404, 20230, 112167, 101275, 21105, 103, 16995, 105908, 101182, 198, 108936, 9554, 107898, 125683, 62004, 107001, 104468, 198, 13177, 114363, 103204, 114363, 49988, 111267, 75910, 120273, 103664, 10646, 32977, 106624, 15682, 13177, 114363, 49988, 111267, 75910, 120273, 103664, 10646, 38641, 9174, 51330, 17, 118821, 111267, 75910, 120273, 103664, 15682, 16937, 91875, 106518, 108695, 16144, 60868, 121057, 29295, 105843, 103350, 126020, 124563, 33334, 32149, 59739, 112167, 101275, 120270, 107407, 103846, 115515, 46729, 16144, 105525, 105368, 29295, 67645, 33121, 120264, 16144, 103130, 15017, 245, 26854, 104865, 30512, 106161, 39177, 114140, 125545, 9174, 105994, 20230, 40862, 100472, 16937, 91875, 106518, 104088, 59739, 107441, 36896, 114363, 103204, 114363, 49988, 111267, 75910, 120273, 103664, 10646, 32977, 106624, 15682, 13177, 114363, 49988, 111267, 75910, 120273, 103664, 118587, 102647, 104369, 19732, 103424, 117201, 109954, 9174, 14711, 109006, 110480, 44597, 5232, 46729, 30512, 105525, 31431, 121216, 105525, 107691, 120273, 103664, 30512, 102971, 104369, 32943, 111182, 38093, 16144, 117271, 123410, 198, 120273, 103664, 54926, 16937, 91875, 106518, 108695, 29295, 104662, 117864, 33503, 5486, 46729, 30512, 105525, 31431, 20834, 39926, 107691, 16995, 112909, 106767, 78434, 9174, 114363, 49988, 111267, 75910, 120273, 103664, 30512, 102971, 126559, 126513, 5486, 110382, 113245, 14167, 100, 65854, 117271, 71289, 32943, 111182, 38093, 16144, 9080, 39607, 104873, 64531, 5486, 109198, 17701, 110526, 112919, 40452, 15682, 37087, 38144, 16937, 91875, 106518, 108695, 29295, 23039, 76947, 120700, 33541, 9174, 105525, 36668, 103306, 16144, 117271, 15682, 13177, 32943, 111182, 38093, 10646, 116771, 38641, 9174, 32943, 111182, 38093, 15682, 5486, 109198, 17701, 110526, 30046, 29295, 109198, 17701, 54926, 32149, 104405, 32149, 30512, 104662, 109315, 108008, 20230, 107693, 26854, 38574, 106090, 115717, 33541, 9174, 61056, 53610, 36117, 251, 20230, 21980, 248, 33121, 15682, 36117, 250, 17129, 107462, 100604, 32149, 5486, 107983, 15682, 100990, 118, 114758, 20230, 103792, 32149, 5486, 118959, 102452, 20230, 71493, 91482, 15682, 21990, 58942, 126386, 32149, 104309, 5486, 104398, 107188, 105494, 103296, 116696, 48552, 39926, 111575, 16144, 121894, 16144, 46729, 126694, 76947, 33334, 50834, 17129, 109954, 9174, 19012, 225, 21418, 29295, 107202, 46034, 26854, 17792, 71289, 104398, 107188, 105494, 30512, 107420, 20230, 49988, 72342, 106956, 102677, 116537, 5486, 102040, 115474, 107167, 118928, 94550, 30512, 103963, 117943, 39926, 72315, 9174, 46729, 30512, 100990, 118, 114758, 26854, 121894, 116446, 33334, 47884, 118733, 5486, 109198, 17701, 30046, 32977, 120208, 114652, 46729, 30512, 109198, 17701, 125545, 9174, 14711, 109006, 110480, 60596, 5232, 105525, 107691, 120273, 103664, 30512, 102971, 104369, 198, 109198, 17701, 30046, 29295, 122074, 127564, 105525, 107691, 120273, 103664, 30512, 102971, 102802, 33541, 9174, 105525, 107691, 120273, 103664, 15682, 13177, 105525, 36668, 59712, 105525, 36668, 110366, 16144, 16937, 91875, 106518, 108695, 59712, 107691, 36668, 59712, 107691, 36668, 110366, 16144, 16937, 91875, 106518, 108695, 117503, 82420, 19, 30046, 29295, 43167, 76947, 23039, 123671, 33541, 9174, 105525, 107691, 120273, 103664, 102181, 30512, 104836, 24273, 29295, 114140, 15024, 5486, 120273, 103664, 44915, 20230, 109606, 29295, 123207, 120273, 103664, 116166, 38641, 9174, 126738, 110371, 110018, 105525, 36668, 29295, 105525, 105368, 35330, 109518, 112028, 34048, 30512, 46034, 47000, 35330, 10110, 105525, 105368, 109518, 16144, 20, 4, 21909, 508, 4, 7705, 103306, 101682, 76622, 108167, 33541, 9174, 105525, 36668, 15682, 58426, 46034, 47000, 35330, 112028, 34048, 30512, 16937, 91875, 106518, 111363, 113850, 75910, 46034, 9039, 42506, 103306, 110968, 15024, 5486, 105525, 107691, 120273, 103664, 15682, 47406, 35287, 121711, 33541, 9174, 14711, 109006, 110480, 66224, 5232, 31640, 35330, 16144, 104662, 111587, 30512, 15024, 46729, 30512, 113801, 110968, 17663, 198, 46729, 16144, 107691, 16995, 46034, 29295, 91774, 59739, 102518, 33503, 5486, 31640, 35330, 16144, 104662, 111587, 30512, 39926, 46729, 30512, 113801, 110968, 78434, 9174, 113801, 110968, 15024, 123410, 112772, 5486, 31640, 35330, 16144, 104662, 111587, 5486, 116875, 108324, 112607, 16144, 24326, 117, 33420, 46034, 106307, 50834, 71289, 56438, 112607, 16144, 60634, 108436, 46034, 106307, 50834, 104309, 16995, 47884, 59739, 116421, 19967, 101275, 107407, 103846, 108048, 33503, 29295, 47406, 35287, 33671, 30537, 5486, 46729, 16144, 113801, 110968, 15024, 117824, 16995, 17129, 109954, 9174, 53900, 5486, 19000, 110362, 42634, 107060, 29295, 108618, 103836, 24273, 15682, 5486, 106075, 103087, 61826, 16144, 114734, 101513, 97518, 110792, 56965, 16556, 115963, 20230, 104196, 111587, 117824, 61689, 9174, 113801, 110968, 15024, 15682, 46729, 30512, 100990, 118, 114758, 20230, 56051, 121894, 113245, 18655, 73686, 108176, 103846, 5486, 73686, 42891, 104087, 15024, 71289, 19012, 225, 21418, 123160, 19967, 101275, 15682, 50834, 43514, 127842, 105721, 78183, 117063, 38144, 33334, 102532, 17297, 65316, 9174, 14711, 109006, 110480, 66115, 5232, 105184, 23187, 102782, 58655, 117824, 30297, 198, 46729, 16144, 105525, 107691, 16556, 60632, 105576, 29295, 102404, 21990, 56051, 126513, 5486, 60632, 105576, 20230, 106608, 100204, 28713, 85188, 35330, 29295, 102404, 21990, 78434, 9174, 58426, 103846, 5486, 102048, 234, 8107, 17, 9953, 845, 9080, 21909, 18, 9953, 868, 117816, 60632, 105576, 17620, 16144, 105184, 23187, 102782, 58655, 29295, 109215, 38641, 9174, 53900, 5486, 85188, 35330, 30512, 103851, 21418, 54926, 124122, 198, 13177, 18, 11, 931, 110743, 16144, 103851, 21418, 66378, 27452, 10110, 18, 11, 931, 110743, 103296, 16144, 60632, 105576, 15682, 103048, 85188, 107001, 66378, 27452, 7705, 10646, 114475, 105784, 107803, 32977, 5486, 105184, 23187, 102782, 58655, 29295, 109215, 115717, 33541, 9174, 67645, 112384, 116446, 32977, 5486, 46729, 16144, 105525, 107691, 16556, 60632, 105576, 125334, 28713, 126513, 105184, 23187, 102782, 58655, 29295, 109215, 38641, 105879, 5486, 112727, 33121, 101860, 20230, 102782, 58655, 54926, 104466, 103801, 109954, 9174, 567, 111279, 30512, 105525, 30369, 113009, 109215, 26854, 30926, 25580, 107253, 104874, 198, 46729, 16144, 105525, 107691, 16144, 89753, 33121, 29295, 102178, 111665, 103082, 127567, 5486, 30926, 123628, 107253, 104874, 117824, 61689, 9174, 109215, 26854, 19967, 101275, 15682, 88852, 16144, 121640, 38641, 9174, 12, 118942, 110362, 42634, 107060, 16144, 19361, 43568, 30512, 104873, 103854, 30369, 198, 12, 111279, 30512, 105525, 30369, 124122, 106382, 11883, 71289, 105525, 105368, 123470, 85188, 35330, 104309, 30512, 104873, 103854, 30369, 198, 12, 66556, 116, 104770, 30512, 107253, 104874, 54926, 198, 77693, 108422, 33121, 16144, 44915, 109853, 64121, 100481, 50834, 17129, 109954, 9174, 14711, 118942, 110362, 42634, 107060, 16144, 19361, 43568, 30512, 104873, 103854, 30369, 198, 46729, 30512, 105525, 30369, 112772, 126783, 42634, 107060, 16144, 19361, 43568, 30512, 104873, 103854, 33541, 9174, 19000, 110362, 42634, 107060, 29295, 108618, 103836, 126513, 5486, 46729, 16144, 105525, 105368, 35330, 30512, 58426, 42634, 107060, 104196, 111587, 20230, 105843, 125655, 112973, 108936, 9554, 38641, 9174, 80673, 5486, 42634, 107060, 16144, 35330, 109518, 29295, 45736, 47884, 5486, 105525, 105368, 35330, 71289, 112599, 16144, 103087, 106518, 121142, 46456, 124237, 16995, 50834, 110615, 126513, 5486, 103283, 108968, 114734, 101513, 97518, 20230, 46034, 106307, 50834, 117824, 16995, 5486, 49988, 37689, 105525, 105368, 71289, 101987, 64121, 109913, 58942, 42634, 107060, 104309, 30512, 107740, 21105, 103, 118145, 26854, 31431, 107515, 9174, 58426, 103846, 5486, 46729, 30512, 105525, 105368, 54926, 112772, 42634, 107060, 16144, 108618, 101427, 113, 109518, 30512, 114140, 39926, 33334, 47884, 106592, 33334, 125683, 62004, 78434, 9174, 42634, 107060, 114556, 39926, 127408, 107407, 24273, 15682, 16937, 91875, 106518, 108695, 20230, 50021, 111813, 54926, 115789, 108608, 105879, 5486, 120273, 103664, 112772, 114140, 39926, 33334, 126145, 103424, 117201, 109954, 9174, 14711, 111279, 30512, 105525, 30369, 124122, 106382, 11883, 71289, 105525, 105368, 123470, 85188, 35330, 104309, 30512, 104873, 103854, 30369, 198, 46729, 30512, 105525, 30369, 102052, 5486, 113850, 75910, 46034, 9039, 42506, 71289, 46729, 16144, 39850, 108304, 96452, 107446, 42506, 104309, 118969, 75694, 17129, 26854, 106382, 11883, 29295, 32149, 107277, 33541, 9174, 77693, 108422, 33121, 13177, 46729, 30512, 105525, 30369, 25580, 59712, 46729, 30512, 105525, 100472, 74482, 10646, 20230, 17620, 107441, 64121, 100481, 50834, 17129, 109954, 9174, 827, 111279, 30512, 105525, 30369, 25580, 112649, 117295, 106382, 11883, 198, 46729, 30512, 105525, 30369, 103846, 102052, 5486, 36668, 20230, 88852, 16144, 106382, 11883, 29295, 109215, 38641, 9174, 66378, 20230, 27384, 112495, 35330, 109518, 29295, 13177, 16937, 91875, 106518, 111363, 113850, 75910, 46034, 9039, 42506, 10646, 38641, 9174, 16937, 91875, 106518, 111363, 113850, 75910, 46034, 9039, 42506, 15682, 5486, 17905, 61304, 21405, 20230, 61304, 107121, 56051, 122282, 29430, 20230, 21601, 107290, 33420, 106382, 85188, 32977, 102404, 21990, 54926, 103846, 5486, 107188, 31431, 45736, 109518, 115717, 33541, 9174, 103350, 104983, 20230, 46729, 16144, 105525, 105368, 109518, 30512, 17, 11, 931, 110743, 103306, 122282, 112990, 88852, 16144, 121640, 38641, 9174, 17, 11, 931, 110743, 25800, 220, 18, 4, 489, 220, 1399, 11, 931, 35757, 489, 6704, 28857, 106382, 85188, 605, 4, 10110, 2287, 11, 931, 35757, 7705, 28, 220, 24430, 11, 931, 35757, 198, 51330, 113850, 75910, 46034, 9039, 42506, 20230, 21601, 107290, 5486, 118969, 75694, 17129, 26854, 120328, 106382, 11883, 29295, 32149, 117295, 103846, 5486, 124572, 20230, 105525, 105368, 109518, 29295, 17, 11, 931, 110743, 118816, 112990, 5486, 46729, 30512, 105525, 30369, 124122, 106382, 11883, 15682, 13177, 40862, 82420, 1041, 110743, 21909, 1049, 110743, 108680, 10646, 16556, 101067, 23187, 39926, 33334, 126145, 56965, 121953, 100604, 123253, 9174, 827, 111279, 30512, 105525, 100472, 74482, 112649, 117295, 106382, 11883, 198, 46729, 30512, 105525, 100472, 74482, 112649, 117295, 106382, 11883, 29295, 13177, 92148, 110, 110968, 32938, 50928, 85188, 10646, 38641, 9174, 92148, 110, 110968, 32938, 50928, 85188, 15682, 5486, 46729, 16144, 105525, 107691, 16556, 60632, 105576, 125334, 28713, 107803, 116771, 102404, 21990, 54926, 85188, 35330, 16144, 118733, 5486, 46729, 30512, 56438, 107113, 8107, 9039, 20230, 106608, 100204, 38144, 85188, 96455, 29295, 104721, 116547, 33541, 9174, 91, 56438, 117232, 198, 91, 85188, 96455, 198, 91, 106649, 23538, 92148, 110, 110968, 32938, 50928, 10110, 56438, 117232, 29295, 20, 8107, 23897, 32943, 23954, 91, 2137, 13, 5495, 113127, 10110, 32938, 50928, 85188, 966, 4, 5486, 101987, 70821, 85188, 24, 4, 5486, 109095, 109834, 115612, 32938, 50928, 85188, 15, 13, 5495, 4, 23954, 91, 101544, 23538, 92148, 110, 110968, 32938, 50928, 10110, 56438, 117232, 29295, 20, 8107, 72404, 23954, 91, 508, 13, 15189, 113127, 10110, 32938, 50928, 85188, 868, 4, 5486, 101987, 70821, 85188, 20, 4, 5486, 109095, 109834, 115612, 32938, 50928, 85188, 15, 13, 15189, 113127, 23954, 90620, 15024, 5486, 60632, 105576, 125334, 28713, 107803, 32977, 66378, 27452, 71289, 103851, 21418, 30512, 126543, 54926, 118733, 85188, 35330, 30512, 103470, 17663, 105908, 125545, 9174, 46729, 16144, 105525, 107691, 16556, 66378, 20230, 33655, 126832, 112973, 13177, 18, 11, 931, 110743, 115612, 103851, 21418, 16144, 66378, 27452, 10646, 16556, 110371, 66378, 27452, 124905, 30297, 118733, 92148, 110, 110968, 32938, 50928, 29295, 18, 11, 931, 110743, 23897, 123727, 107803, 5486, 85188, 35330, 30512, 103048, 21418, 54926, 105908, 88367, 38641, 9174, 124572, 20230, 18, 11, 931, 110743, 30512, 72404, 105262, 107803, 72661, 18, 11, 931, 110743, 104364, 15024, 73686, 32149, 103468, 121894, 16556, 85188, 35330, 29295, 111681, 85188, 107001, 103846, 110745, 50834, 47884, 114485, 85188, 125545, 9174, 66378, 27452, 71289, 103851, 21418, 15682, 108008, 20230, 102924, 60632, 119627, 5486, 33655, 100472, 104983, 15682, 105184, 23187, 102782, 58655, 29295, 109215, 38641, 9174, 102048, 234, 8107, 17, 9953, 845, 9080, 21909, 18, 9953, 868, 117073, 122756, 112727, 33121, 101860, 20230, 102782, 58655, 54926, 104466, 103801, 109954, 9174, 14711, 66556, 116, 104770, 30512, 107253, 104874, 54926, 198, 46729, 30512, 105525, 107691, 54926, 104983, 102052, 5486, 108008, 20230, 43240, 119064, 102181, 104770, 29295, 109215, 115717, 33541, 9174, 59614, 116156, 26854, 102944, 19732, 30591, 104984, 102924, 60632, 26854, 102944, 30512, 123011, 62004, 79721, 9174, 91, 102181, 104770, 13372, 198, 91, 44915, 198, 91, 29741, 61304, 112607, 60632, 102181, 9458, 29741, 61304, 109375, 103283, 108134, 198, 91, 56438, 30046, 30512, 31958, 105184, 117657, 102181, 104770, 198, 91, 96356, 17620, 110322, 31958, 102181, 198, 91, 22656, 17792, 114140, 198, 91, 30590, 108882, 108867, 33857, 111629, 9458, 103496, 98220, 114140, 102181, 198, 91, 124175, 71289, 37795, 96, 30590, 110792, 103496, 98220, 29295, 31958, 20379, 103646, 102181, 104770, 198, 91, 124108, 103087, 106518, 85188, 108446, 85188, 198, 91, 124108, 103087, 106518, 85188, 16144, 108446, 85188, 102181, 198, 91, 103350, 104371, 19732, 104371, 124140, 110322, 31958, 198, 91, 35417, 112535, 104736, 62004, 109115, 104371, 124140, 198, 91, 124108, 103087, 106518, 107624, 95001, 110322, 31958, 102181, 198, 91, 124108, 103087, 106518, 16144, 103359, 47523, 108176, 102494, 101335, 16144, 107624, 95001, 109518, 29295, 115856, 32149, 103468, 102181, 104770, 198, 91, 127178, 114140, 111587, 110322, 9458, 111800, 112984, 111587, 110322, 198, 91, 127178, 75146, 107253, 25333, 20230, 108630, 103792, 116421, 110322, 31958, 102181, 198, 91, 26892, 53953, 16144, 111629, 28190, 9458, 35417, 111629, 198, 91, 26892, 53953, 16144, 56965, 108167, 30512, 61304, 107121, 56051, 102181, 104770, 198, 91, 53953, 14558, 127749, 50667, 120270, 102181, 198, 91, 26892, 53953, 9458, 117018, 16144, 127749, 30512, 116718, 20230, 61304, 56051, 102181, 104770, 198, 91, 108285, 58655, 71289, 80805, 118804, 123167, 10110, 84851, 28194, 101, 23954, 91, 46729, 105525, 105368, 11883, 16144, 80805, 118804, 123167, 198, 91, 42634, 107060, 101268, 253, 109818 ]
[ 21405, 10110, 109215, 29295, 30591, 104984, 23954, 91, 126783, 42634, 107060, 16144, 104196, 111587, 109518, 71289, 24186, 35330, 104309, 29295, 61304, 107121, 110731, 102181, 104770, 198, 91, 127178, 113404, 111629, 102181, 9458, 49792, 30926, 61304, 108565, 102181, 10110, 84851, 28194, 101, 23954, 91, 127178, 75146, 107253, 25333, 71289, 127178, 101559, 25333, 20230, 123532, 103836, 32149, 104405, 32149, 30512, 114140, 54926, 102181, 104770, 198, 91, 40452, 106045, 103664, 9458, 38129, 104398, 108630, 10110, 111817, 104272, 23954, 91, 111817, 104272, 113245, 33710, 64178, 71289, 106045, 103664, 104309, 198, 91, 107693, 30926, 105904, 20230, 108826, 30369, 104873, 112984, 120270, 102181, 198, 91, 111817, 104272, 16144, 108134, 29295, 104398, 32149, 47884, 61304, 107121, 110731, 102181, 104770, 198, 107734, 32938, 104309, 16556, 112825, 110904, 20230, 102404, 23039, 108608, 102944, 32977, 30591, 104984, 5486, 102404, 23039, 103296, 20230, 82973, 29295, 32149, 117295, 102494, 101335, 32977, 101182, 103846, 5486, 30926, 112772, 21105, 96, 107277, 19732, 107253, 104874, 39926, 33334, 50834, 17129, 109954, 9174, 102181, 104770, 16144, 107253, 104874, 16556, 127408, 26854, 24273, 15682, 5486, 16937, 91875, 106518, 108695, 20230, 50021, 111813, 54926, 123017, 46034, 38641, 9174, 109215, 26854, 102181, 104770, 71289, 102181, 104770, 29295, 127242, 103792, 125344, 31640, 109913, 16144, 102181, 104770, 104309, 32977, 46239, 120837, 33503, 105262, 103846, 5486, 95221, 117355, 20230, 50021, 111813, 39926, 64121, 38144, 72315, 9174, 567, 111279, 30512, 105525, 104533, 50834, 6269, 26854, 61633, 17663, 125231, 120098, 198, 110382, 77181, 5486, 46729, 30512, 105525, 104533, 50834, 20230, 125338, 112987, 124324, 106592, 126362, 78434, 9174, 110382, 16556, 126362, 54926, 120098, 21105, 96, 107277, 106154, 76947, 46034, 110480, 30512, 103130, 62004, 104533, 5486, 110993, 79982, 26854, 21388, 113529, 123410, 109335, 124897, 105879, 5486, 59614, 101860, 114140, 39926, 55031, 103130, 62004, 17129, 109954, 9174, 14711, 220, 16, 118821, 16937, 91875, 106518, 108695, 16556, 103378, 112984, 23187, 54926, 198, 46729, 16144, 112984, 23187, 30512, 16937, 91875, 106518, 108695, 16, 59739, 20230, 58254, 252, 30369, 104468, 115924, 103359, 6269, 38641, 9174, 16937, 91875, 106518, 108695, 113468, 46729, 16144, 112984, 23187, 109518, 29295, 119448, 47884, 124500, 30369, 103846, 5486, 59614, 101860, 109242, 9039, 16144, 16937, 91875, 106518, 108695, 16556, 112984, 23187, 117824, 30297, 104466, 103801, 109954, 9174, 53900, 5486, 46729, 30512, 105525, 31431, 121406, 25580, 15682, 59614, 101860, 13177, 120824, 99397, 112984, 23187, 10646, 117824, 61689, 9174, 109242, 9039, 16144, 16937, 91875, 106518, 108695, 20230, 120824, 99397, 112984, 23187, 30512, 103350, 102923, 120837, 110706, 106116, 16325, 16556, 198, 115364, 22649, 101067, 16144, 105525, 105368, 109518, 20230, 60358, 16995, 16937, 91875, 106518, 108695, 71289, 117271, 16144, 57980, 102518, 16937, 91875, 106518, 108695, 30512, 102647, 104369, 104466, 103801, 109954, 9174, 126738, 108948, 33334, 57980, 58426, 50021, 75267, 30512, 53283, 30369, 16144, 102052, 36896, 60868, 57933, 25197, 76739, 10646, 104309, 29295, 108008, 20230, 102924, 60632, 38641, 9174, 53953, 14558, 16144, 76739, 104612, 71289, 113638, 8107, 9039, 5486, 46729, 16144, 108285, 30813, 104309, 30512, 121846, 20230, 5486, 118823, 16556, 112825, 110904, 26854, 50021, 75267, 30512, 114140, 108608, 103846, 5486, 112185, 33748, 17905, 112984, 23187, 117824, 107462, 100604, 24273, 15682, 107740, 39926, 64121, 38144, 72315, 9174, 14711, 110944, 110, 105368, 16144, 113009, 114834, 30512, 37823, 108526, 103202, 54926, 198, 105525, 105368, 16144, 103846, 103378, 20230, 5486, 114834, 30512, 37823, 108526, 103202, 54926, 123017, 6269, 38641, 9174, 114834, 16144, 37823, 108526, 103202, 30512, 39926, 114732, 19732, 111476, 114834, 16144, 112603, 38574, 29295, 50021, 75267, 30512, 72404, 107290, 45736, 115737, 31431, 5486, 112832, 32977, 107691, 78183, 103470, 109020, 125396, 29295, 45736, 115737, 31431, 33541, 9174, 32307, 29295, 15120, 36896, 46729, 16144, 110382, 103378, 102491, 47884, 38144, 107691, 58942, 106956, 59712, 92877, 4916, 121, 33208, 107407, 55031, 74245, 56051, 16995, 66383, 95604, 105933, 126513, 5486, 120273, 103664, 54926, 16937, 91875, 106518, 108695, 20230, 50021, 111813, 39926, 55031, 37823, 108526, 103202, 103801, 109954, 9174, 32977, 43514, 85791, 25827, 5486, 46729, 30512, 105525, 30369, 112772, 102923, 56051, 37823, 108526, 103202, 15682, 109606, 124897, 9174, 14711, 110758, 75267, 110162, 76622, 106627, 103468, 105525, 105368, 121374, 16556, 105525, 31431, 121406, 198, 46729, 30512, 45736, 47884, 105525, 31431, 106956, 95221, 69978, 86614, 17620, 107277, 33541, 29295, 111476, 50021, 75267, 30512, 27384, 111044, 20230, 72404, 105262, 35330, 109518, 16556, 105525, 31431, 121406, 104468, 6269, 38641, 9174, 45736, 47884, 103856, 47884, 105525, 104028, 112973, 22649, 101067, 119627, 5486, 57980, 108680, 80195, 30590, 71289, 77195, 5486, 46729, 16144, 121894, 29295, 103424, 47884, 100604, 48249, 31431, 122603, 47884, 103856, 47884, 105525, 30369, 104468, 111108, 106624, 26854, 31431, 33541, 9174, 58426, 103846, 5486, 105994, 16556, 114140, 56051, 50021, 75267, 71289, 16937, 91875, 106518, 108695, 16144, 50021, 75267, 30512, 121846, 20230, 5486, 109431, 37656, 121374, 16556, 105525, 31431, 121406, 104466, 103801, 109954, 9174, 46729, 16144, 105525, 105368, 112649, 117295, 117232, 15682, 108948, 33334, 57980, 27929, 18, 113746, 21909, 21, 113746, 38641, 9174, 46729, 30512, 105525, 31431, 20834, 39926, 103268, 8107, 106613, 114598, 105525, 110615, 126513, 5486, 35330, 109518, 20230, 109606, 107407, 125396, 29295, 45736, 102334, 62004, 5486, 42506, 35330, 16144, 91774, 74245, 15024, 117824, 30297, 104309, 39926, 23951, 37656, 39926, 72315, 9174, 14711, 111279, 16144, 109606, 28542, 71289, 105260, 51609, 109904, 68408, 39850, 37823, 67075, 30512, 125062, 17663, 198, 66378, 20230, 125338, 112987, 124324, 105908, 5486, 46729, 16144, 105260, 51609, 109904, 109606, 71289, 68408, 39850, 37823, 67075, 30512, 125062, 17663, 100909, 115717, 33541, 9174, 66378, 20230, 107691, 36668, 29295, 16937, 60632, 108176, 105933, 108134, 30512, 125062, 17663, 104468, 115924, 103359, 20230, 6269, 38641, 9174, 32307, 29295, 15120, 5486, 120273, 103664, 47406, 35287, 123090, 103885, 243, 101734, 113, 29295, 91774, 59739, 32149, 104533, 13177, 120273, 103664, 16937, 109431, 40862, 113160, 49988, 10646, 20230, 99397, 78183, 106824, 103801, 16995, 5486, 120273, 103664, 50338, 21418, 121142, 103470, 125173, 104698, 83812, 254, 101268, 253, 109311, 32018, 71289, 31640, 35330, 114485, 109518, 109311, 32018, 30512, 107001, 115789, 57903, 33541, 9174, 124042, 112535, 125173, 54926, 125396, 29295, 45736, 102334, 62004, 5486, 109606, 28542, 71289, 68408, 39850, 37823, 67075, 15682, 125062, 30813, 101860, 87177, 17663, 104466, 103801, 109954, 9174, 14711, 110944, 110, 107691, 19967, 101275, 30512, 37087, 38144, 16937, 91875, 106518, 20230, 103057, 101832, 30369, 198, 16937, 91875, 106518, 108695, 110792, 120273, 103664, 74482, 111476, 46729, 16144, 105525, 107691, 123863, 19967, 101275, 112197, 33334, 57980, 27929, 15682, 16937, 91875, 106518, 108695, 29295, 23039, 61689, 29295, 5486, 37087, 38144, 16144, 19967, 101275, 30512, 16937, 91875, 106518, 108695, 20230, 103057, 101832, 30369, 104468, 6269, 38641, 9174, 16937, 91875, 106518, 29295, 104284, 124475, 120273, 103664, 56051, 31431, 77195, 30512, 104721, 107800, 31431, 54926, 109335, 124897, 29295, 5486, 21105, 96, 107277, 50021, 111813, 30512, 21105, 97, 59739, 46729, 30512, 105525, 107462, 47884, 105908, 107693, 115717, 33541, 9174, 16937, 91875, 106518, 108695, 15682, 30591, 47884, 103296, 80805, 84477, 118567, 16556, 5486, 46729, 30512, 105525, 30369, 104468, 105994, 116907, 38641, 9174, 21105, 96, 107277, 46729, 16144, 105525, 107691, 20230, 110284, 15024, 5486, 105994, 29295, 108446, 50928, 108608, 105933, 120273, 103664, 108176, 104466, 96455, 61826, 39926, 16937, 91875, 106518, 108695, 20230, 108975, 48634, 109768, 50834, 17129, 109954, 9174, 567, 111279, 30512, 105525, 30369, 104983, 103732, 47884, 101182, 105284, 99397, 198, 114626, 20230, 46729, 30512, 105525, 30369, 104983, 103732, 47884, 101182, 105284, 99397, 30512, 126362, 78434, 9174, 104398, 107188, 44915, 30512, 123011, 107436, 126362, 127145, 105879, 5486, 46729, 16144, 105525, 105368, 30512, 111800, 118219, 103792, 24273, 15682, 116696, 48552, 39926, 64121, 38144, 72315, 9174, 14711, 111002, 107060, 16325, 16144, 46729, 30512, 105525, 30369, 109335, 125545, 32149, 95532, 108729, 9554, 102052, 5486, 46729, 16144, 105525, 105368, 123090, 37087, 38144, 16144, 46456, 124237, 16995, 29295, 105721, 78183, 30369, 107803, 116771, 105525, 105368, 88367, 38641, 9174, 46729, 16144, 105525, 105368, 35330, 30512, 107740, 56051, 31431, 5486, 24186, 104680, 101182, 103087, 106518, 124905, 100472, 31431, 39926, 5486, 37087, 109518, 104196, 111587, 54926, 105908, 108608, 105110, 106116, 46729, 30512, 105525, 105368, 54926, 105908, 125545, 9174, 27452, 48915, 112535, 111476, 88852, 17, 118821, 41007, 16556, 46729, 30512, 105525, 105368, 54926, 115789, 88367, 38641, 9174, 91, 41007, 198, 91, 101987, 64121, 109913, 58942, 42634, 107060, 198, 91, 17039, 102800, 46729, 16144, 126783, 42634, 107060, 20230, 104196, 111587, 21105, 235, 33121, 104435, 42634, 107060, 30512, 17905, 110498, 72342, 54926, 41007, 9174, 90620, 15024, 5486, 117859, 112984, 29295, 16906, 111, 106624, 108703, 17701, 109518, 29295, 115079, 105262, 9174, 91, 49988, 37689, 105525, 105368, 198, 91, 114734, 101513, 97518, 55031, 110008, 31540, 30512, 50928, 38144, 46729, 30512, 105525, 105368, 54926, 41007, 9174, 117859, 112984, 29295, 16906, 111, 106624, 5486, 46456, 124237, 16995, 106556, 119703, 107803, 20230, 116771, 33655, 105262, 9174, 90620, 15024, 5486, 67645, 112384, 32977, 112825, 110904, 120650, 105262, 41007, 77181, 124897, 9174, 46729, 30512, 105525, 105368, 120837, 37087, 47884, 104196, 111587, 16144, 30832, 108968, 29295, 80195, 28713, 100604, 102677, 24273, 15682, 108149, 33503, 32149, 100204, 62004, 16937, 91875, 106518, 20230, 50021, 111813, 39926, 115515, 74482, 104405, 17663, 125231, 32149, 30512, 122225, 54926, 104466, 103801, 109954, 9174, 14711, 106369, 35330, 119703, 110018, 20230, 46729, 30512, 105525, 30369, 102052, 104405, 126693, 126521, 112130, 95532, 104405, 120837, 33334, 35330, 119703, 39177, 15682, 5486, 16937, 91875, 106518, 108695, 16144, 107691, 18655, 30512, 107740, 103801, 109954, 9174, 103664, 18, 113746, 21909, 21, 113746, 16144, 117232, 29295, 32149, 117295, 113850, 75910, 113245, 105525, 107691, 19732, 57106, 115694, 111476, 107691, 18655, 127303, 104984, 92776, 126101, 105525, 107691, 29295, 47406, 35287, 78434, 9174, 58426, 103846, 5486, 46034, 24186, 107898, 35330, 119703, 24273, 71289, 114225, 107898, 35330, 29295, 111654, 102800, 24273, 107898, 125683, 62004, 38641, 9174, 90620, 15024, 5486, 46729, 16144, 105525, 105368, 109518, 15682, 50021, 75267, 16144, 103664, 22, 111017, 108680, 108176, 103846, 5486, 108729, 9554, 102052, 113850, 75910, 32977, 106624, 15682, 121568, 18655, 73686, 113245, 105525, 107691, 126130, 125683, 62004, 78434, 9174, 14711, 117826, 19000, 101987, 126559, 46729, 30512, 105525, 30369, 109335, 125545, 32149, 95532, 112599, 101987, 126559, 46729, 32977, 105525, 30369, 109335, 88367, 38641, 9174, 90620, 15024, 5486, 32943, 111182, 38093, 16556, 104405, 120837, 104654, 99750, 125334, 38144, 114732, 103846, 5486, 46729, 29295, 105525, 31431, 109669, 124749, 15682, 26854, 76947, 103801, 61689, 9174, 58426, 103846, 5486, 108729, 9554, 102052, 56906, 86436, 123090, 46729, 30512, 105525, 107691, 54926, 106592, 33334, 125683, 62004, 78434, 9174, 567, 111279, 30512, 105525, 30369, 104983, 16144, 112984, 23187, 15682, 60868, 57933, 25197, 76739, 16144, 107740, 119279, 125683, 62004, 198, 46729, 30512, 105525, 30369, 104983, 20230, 59614, 116156, 108176, 112973, 46729, 16144, 112984, 23187, 38641, 9174, 46729, 16144, 112984, 23187, 30512, 103350, 102923, 103792, 16937, 91875, 106518, 108695, 30512, 105994, 16556, 109242, 9039, 106767, 39926, 102782, 15024, 104526, 104004, 104468, 5486, 108008, 20230, 46034, 56965, 29295, 32149, 126469, 103801, 61689, 9174, 110924, 16556, 33334, 125683, 62004, 26854, 112973, 111476, 118823, 55031, 15120, 106885, 16556, 112984, 23187, 103963, 117943, 29295, 108608, 13177, 60868, 57933, 25197, 76739, 10646, 38641, 9174, 60868, 57933, 25197, 76739, 77181, 5486, 46729, 16144, 108285, 30813, 71289, 76739, 104612, 5486, 113638, 8107, 9039, 123160, 108134, 55031, 106116, 46729, 20230, 32335, 109431, 16144, 16937, 91875, 106518, 108695, 16144, 126362, 19732, 46729, 16144, 50021, 75267, 112984, 23187, 117824, 58942, 33541, 9174, 85701, 55031, 46729, 30512, 105525, 103950, 19732, 113727, 100934, 24273, 15682, 5486, 112371, 104328, 107740, 39926, 64121, 38144, 72315, 9174, 567, 111279, 30512, 105525, 30369, 104983, 16144, 61633, 28542, 123011, 62004, 198, 51330, 77219, 77181, 5486, 46729, 30512, 105525, 30369, 104983, 16144, 61633, 28542, 30512, 123011, 62004, 79721, 9174, 46729, 16144, 105525, 107691, 15682, 108008, 20230, 27384, 112495, 35330, 109518, 29295, 91875, 47884, 103846, 5486, 114715, 72661, 125173, 21105, 103, 16995, 104466, 30926, 25580, 107253, 104874, 19732, 30926, 25580, 114140, 30512, 17486, 254, 110104, 105908, 107693, 38641, 9174, 12, 111279, 16144, 105525, 105368, 16144, 89753, 33121, 71289, 117232, 30512, 102178, 111665, 39926, 33334, 47884, 198, 12, 111279, 30512, 105525, 104533, 50834, 112649, 117295, 106382, 11883, 30512, 102178, 111665, 39926, 33334, 47884, 198, 12, 111279, 30512, 105525, 30369, 113009, 109215, 26854, 30926, 25580, 107253, 104874, 30512, 39926, 33334, 47884, 198, 12, 111279, 30512, 105525, 104533, 50834, 20230, 125338, 112987, 124324, 106592, 114140, 54926, 198, 17905, 61304, 16144, 61633, 28542, 30512, 21105, 96, 107277, 19732, 114140, 39926, 55031, 5486, 46729, 16144, 105525, 107691, 20230, 122678, 64121, 17129, 109954, 9174, 126738, 5486, 46729, 16144, 112984, 23187, 123410, 104983, 15682, 13177, 60868, 57933, 25197, 76739, 10646, 29295, 108008, 20230, 102924, 60632, 38641, 9174, 118823, 55031, 15120, 106885, 16556, 112984, 23187, 5, 109431, 56051, 16937, 91875, 106518, 16144, 126362, 29295, 88367, 26854, 103846, 115847, 55031, 105525, 107691, 30512, 113727, 100934, 24273, 15682, 112371, 104328, 107740, 39926, 64121, 38144, 72315, 9174, 7058, 14711, 87109, 91875, 106518, 105525, 105368, 30512, 20, 8107, 23897, 32943, 117657, 104983, 16144, 85188, 35330, 122282, 41007, 765, 110944, 110, 104533, 50834, 16144, 61633, 28542, 32977, 50338, 108323, 198, 14711, 87109, 91875, 106518, 112984, 23187, 16144, 61633, 28542, 30512, 50338, 108323, 104926, 30926, 123628, 107253, 104874, 71289, 114140, 39926, 33334, 105898, 16995, 115789 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 21405, 10110, 109215, 29295, 30591, 104984, 23954, 91, 126783, 42634, 107060, 16144, 104196, 111587, 109518, 71289, 24186, 35330, 104309, 29295, 61304, 107121, 110731, 102181, 104770, 198, 91, 127178, 113404, 111629, 102181, 9458, 49792, 30926, 61304, 108565, 102181, 10110, 84851, 28194, 101, 23954, 91, 127178, 75146, 107253, 25333, 71289, 127178, 101559, 25333, 20230, 123532, 103836, 32149, 104405, 32149, 30512, 114140, 54926, 102181, 104770, 198, 91, 40452, 106045, 103664, 9458, 38129, 104398, 108630, 10110, 111817, 104272, 23954, 91, 111817, 104272, 113245, 33710, 64178, 71289, 106045, 103664, 104309, 198, 91, 107693, 30926, 105904, 20230, 108826, 30369, 104873, 112984, 120270, 102181, 198, 91, 111817, 104272, 16144, 108134, 29295, 104398, 32149, 47884, 61304, 107121, 110731, 102181, 104770, 198, 107734, 32938, 104309, 16556, 112825, 110904, 20230, 102404, 23039, 108608, 102944, 32977, 30591, 104984, 5486, 102404, 23039, 103296, 20230, 82973, 29295, 32149, 117295, 102494, 101335, 32977, 101182, 103846, 5486, 30926, 112772, 21105, 96, 107277, 19732, 107253, 104874, 39926, 33334, 50834, 17129, 109954, 9174, 102181, 104770, 16144, 107253, 104874, 16556, 127408, 26854, 24273, 15682, 5486, 16937, 91875, 106518, 108695, 20230, 50021, 111813, 54926, 123017, 46034, 38641, 9174, 109215, 26854, 102181, 104770, 71289, 102181, 104770, 29295, 127242, 103792, 125344, 31640, 109913, 16144, 102181, 104770, 104309, 32977, 46239, 120837, 33503, 105262, 103846, 5486, 95221, 117355, 20230, 50021, 111813, 39926, 64121, 38144, 72315, 9174, 567, 111279, 30512, 105525, 104533, 50834, 6269, 26854, 61633, 17663, 125231, 120098, 198, 110382, 77181, 5486, 46729, 30512, 105525, 104533, 50834, 20230, 125338, 112987, 124324, 106592, 126362, 78434, 9174, 110382, 16556, 126362, 54926, 120098, 21105, 96, 107277, 106154, 76947, 46034, 110480, 30512, 103130, 62004, 104533, 5486, 110993, 79982, 26854, 21388, 113529, 123410, 109335, 124897, 105879, 5486, 59614, 101860, 114140, 39926, 55031, 103130, 62004, 17129, 109954, 9174, 14711, 220, 16, 118821, 16937, 91875, 106518, 108695, 16556, 103378, 112984, 23187, 54926, 198, 46729, 16144, 112984, 23187, 30512, 16937, 91875, 106518, 108695, 16, 59739, 20230, 58254, 252, 30369, 104468, 115924, 103359, 6269, 38641, 9174, 16937, 91875, 106518, 108695, 113468, 46729, 16144, 112984, 23187, 109518, 29295, 119448, 47884, 124500, 30369, 103846, 5486, 59614, 101860, 109242, 9039, 16144, 16937, 91875, 106518, 108695, 16556, 112984, 23187, 117824, 30297, 104466, 103801, 109954, 9174, 53900, 5486, 46729, 30512, 105525, 31431, 121406, 25580, 15682, 59614, 101860, 13177, 120824, 99397, 112984, 23187, 10646, 117824, 61689, 9174, 109242, 9039, 16144, 16937, 91875, 106518, 108695, 20230, 120824, 99397, 112984, 23187, 30512, 103350, 102923, 120837, 110706, 106116, 16325, 16556, 198, 115364, 22649, 101067, 16144, 105525, 105368, 109518, 20230, 60358, 16995, 16937, 91875, 106518, 108695, 71289, 117271, 16144, 57980, 102518, 16937, 91875, 106518, 108695, 30512, 102647, 104369, 104466, 103801, 109954, 9174, 126738, 108948, 33334, 57980, 58426, 50021, 75267, 30512, 53283, 30369, 16144, 102052, 36896, 60868, 57933, 25197, 76739, 10646, 104309, 29295, 108008, 20230, 102924, 60632, 38641, 9174, 53953, 14558, 16144, 76739, 104612, 71289, 113638, 8107, 9039, 5486, 46729, 16144, 108285, 30813, 104309, 30512, 121846, 20230, 5486, 118823, 16556, 112825, 110904, 26854, 50021, 75267, 30512, 114140, 108608, 103846, 5486, 112185, 33748, 17905, 112984, 23187, 117824, 107462, 100604, 24273, 15682, 107740, 39926, 64121, 38144, 72315, 9174, 14711, 110944, 110, 105368, 16144, 113009, 114834, 30512, 37823, 108526, 103202, 54926, 198, 105525, 105368, 16144, 103846, 103378, 20230, 5486, 114834, 30512, 37823, 108526, 103202, 54926, 123017, 6269, 38641, 9174, 114834, 16144, 37823, 108526, 103202, 30512, 39926, 114732, 19732, 111476, 114834, 16144, 112603, 38574, 29295, 50021, 75267, 30512, 72404, 107290, 45736, 115737, 31431, 5486, 112832, 32977, 107691, 78183, 103470, 109020, 125396, 29295, 45736, 115737, 31431, 33541, 9174, 32307, 29295, 15120, 36896, 46729, 16144, 110382, 103378, 102491, 47884, 38144, 107691, 58942, 106956, 59712, 92877, 4916, 121, 33208, 107407, 55031, 74245, 56051, 16995, 66383, 95604, 105933, 126513, 5486, 120273, 103664, 54926, 16937, 91875, 106518, 108695, 20230, 50021, 111813, 39926, 55031, 37823, 108526, 103202, 103801, 109954, 9174, 32977, 43514, 85791, 25827, 5486, 46729, 30512, 105525, 30369, 112772, 102923, 56051, 37823, 108526, 103202, 15682, 109606, 124897, 9174, 14711, 110758, 75267, 110162, 76622, 106627, 103468, 105525, 105368, 121374, 16556, 105525, 31431, 121406, 198, 46729, 30512, 45736, 47884, 105525, 31431, 106956, 95221, 69978, 86614, 17620, 107277, 33541, 29295, 111476, 50021, 75267, 30512, 27384, 111044, 20230, 72404, 105262, 35330, 109518, 16556, 105525, 31431, 121406, 104468, 6269, 38641, 9174, 45736, 47884, 103856, 47884, 105525, 104028, 112973, 22649, 101067, 119627, 5486, 57980, 108680, 80195, 30590, 71289, 77195, 5486, 46729, 16144, 121894, 29295, 103424, 47884, 100604, 48249, 31431, 122603, 47884, 103856, 47884, 105525, 30369, 104468, 111108, 106624, 26854, 31431, 33541, 9174, 58426, 103846, 5486, 105994, 16556, 114140, 56051, 50021, 75267, 71289, 16937, 91875, 106518, 108695, 16144, 50021, 75267, 30512, 121846, 20230, 5486, 109431, 37656, 121374, 16556, 105525, 31431, 121406, 104466, 103801, 109954, 9174, 46729, 16144, 105525, 105368, 112649, 117295, 117232, 15682, 108948, 33334, 57980, 27929, 18, 113746, 21909, 21, 113746, 38641, 9174, 46729, 30512, 105525, 31431, 20834, 39926, 103268, 8107, 106613, 114598, 105525, 110615, 126513, 5486, 35330, 109518, 20230, 109606, 107407, 125396, 29295, 45736, 102334, 62004, 5486, 42506, 35330, 16144, 91774, 74245, 15024, 117824, 30297, 104309, 39926, 23951, 37656, 39926, 72315, 9174, 14711, 111279, 16144, 109606, 28542, 71289, 105260, 51609, 109904, 68408, 39850, 37823, 67075, 30512, 125062, 17663, 198, 66378, 20230, 125338, 112987, 124324, 105908, 5486, 46729, 16144, 105260, 51609, 109904, 109606, 71289, 68408, 39850, 37823, 67075, 30512, 125062, 17663, 100909, 115717, 33541, 9174, 66378, 20230, 107691, 36668, 29295, 16937, 60632, 108176, 105933, 108134, 30512, 125062, 17663, 104468, 115924, 103359, 20230, 6269, 38641, 9174, 32307, 29295, 15120, 5486, 120273, 103664, 47406, 35287, 123090, 103885, 243, 101734, 113, 29295, 91774, 59739, 32149, 104533, 13177, 120273, 103664, 16937, 109431, 40862, 113160, 49988, 10646, 20230, 99397, 78183, 106824, 103801, 16995, 5486, 120273, 103664, 50338, 21418, 121142, 103470, 125173, 104698, 83812, 254, 101268, 253, 109311, 32018, 71289, 31640, 35330, 114485, 109518, 109311, 32018, 30512, 107001, 115789, 57903, 33541, 9174, 124042, 112535, 125173, 54926, 125396, 29295, 45736, 102334, 62004, 5486, 109606, 28542, 71289, 68408, 39850, 37823, 67075, 15682, 125062, 30813, 101860, 87177, 17663, 104466, 103801, 109954, 9174, 14711, 110944, 110, 107691, 19967, 101275, 30512, 37087, 38144, 16937, 91875, 106518, 20230, 103057, 101832, 30369, 198, 16937, 91875, 106518, 108695, 110792, 120273, 103664, 74482, 111476, 46729, 16144, 105525, 107691, 123863, 19967, 101275, 112197, 33334, 57980, 27929, 15682, 16937, 91875, 106518, 108695, 29295, 23039, 61689, 29295, 5486, 37087, 38144, 16144, 19967, 101275, 30512, 16937, 91875, 106518, 108695, 20230, 103057, 101832, 30369, 104468, 6269, 38641, 9174, 16937, 91875, 106518, 29295, 104284, 124475, 120273, 103664, 56051, 31431, 77195, 30512, 104721, 107800, 31431, 54926, 109335, 124897, 29295, 5486, 21105, 96, 107277, 50021, 111813, 30512, 21105, 97, 59739, 46729, 30512, 105525, 107462, 47884, 105908, 107693, 115717, 33541, 9174, 16937, 91875, 106518, 108695, 15682, 30591, 47884, 103296, 80805, 84477, 118567, 16556, 5486, 46729, 30512, 105525, 30369, 104468, 105994, 116907, 38641, 9174, 21105, 96, 107277, 46729, 16144, 105525, 107691, 20230, 110284, 15024, 5486, 105994, 29295, 108446, 50928, 108608, 105933, 120273, 103664, 108176, 104466, 96455, 61826, 39926, 16937, 91875, 106518, 108695, 20230, 108975, 48634, 109768, 50834, 17129, 109954, 9174, 567, 111279, 30512, 105525, 30369, 104983, 103732, 47884, 101182, 105284, 99397, 198, 114626, 20230, 46729, 30512, 105525, 30369, 104983, 103732, 47884, 101182, 105284, 99397, 30512, 126362, 78434, 9174, 104398, 107188, 44915, 30512, 123011, 107436, 126362, 127145, 105879, 5486, 46729, 16144, 105525, 105368, 30512, 111800, 118219, 103792, 24273, 15682, 116696, 48552, 39926, 64121, 38144, 72315, 9174, 14711, 111002, 107060, 16325, 16144, 46729, 30512, 105525, 30369, 109335, 125545, 32149, 95532, 108729, 9554, 102052, 5486, 46729, 16144, 105525, 105368, 123090, 37087, 38144, 16144, 46456, 124237, 16995, 29295, 105721, 78183, 30369, 107803, 116771, 105525, 105368, 88367, 38641, 9174, 46729, 16144, 105525, 105368, 35330, 30512, 107740, 56051, 31431, 5486, 24186, 104680, 101182, 103087, 106518, 124905, 100472, 31431, 39926, 5486, 37087, 109518, 104196, 111587, 54926, 105908, 108608, 105110, 106116, 46729, 30512, 105525, 105368, 54926, 105908, 125545, 9174, 27452, 48915, 112535, 111476, 88852, 17, 118821, 41007, 16556, 46729, 30512, 105525, 105368, 54926, 115789, 88367, 38641, 9174, 91, 41007, 198, 91, 101987, 64121, 109913, 58942, 42634, 107060, 198, 91, 17039, 102800, 46729, 16144, 126783, 42634, 107060, 20230, 104196, 111587, 21105, 235, 33121, 104435, 42634, 107060, 30512, 17905, 110498, 72342, 54926, 41007, 9174, 90620, 15024, 5486, 117859, 112984, 29295, 16906, 111, 106624, 108703, 17701, 109518, 29295, 115079, 105262, 9174, 91, 49988, 37689, 105525, 105368, 198, 91, 114734, 101513, 97518, 55031, 110008, 31540, 30512, 50928, 38144, 46729, 30512, 105525, 105368, 54926, 41007, 9174, 117859, 112984, 29295, 16906, 111, 106624, 5486, 46456, 124237, 16995, 106556, 119703, 107803, 20230, 116771, 33655, 105262, 9174, 90620, 15024, 5486, 67645, 112384, 32977, 112825, 110904, 120650, 105262, 41007, 77181, 124897, 9174, 46729, 30512, 105525, 105368, 120837, 37087, 47884, 104196, 111587, 16144, 30832, 108968, 29295, 80195, 28713, 100604, 102677, 24273, 15682, 108149, 33503, 32149, 100204, 62004, 16937, 91875, 106518, 20230, 50021, 111813, 39926, 115515, 74482, 104405, 17663, 125231, 32149, 30512, 122225, 54926, 104466, 103801, 109954, 9174, 14711, 106369, 35330, 119703, 110018, 20230, 46729, 30512, 105525, 30369, 102052, 104405, 126693, 126521, 112130, 95532, 104405, 120837, 33334, 35330, 119703, 39177, 15682, 5486, 16937, 91875, 106518, 108695, 16144, 107691, 18655, 30512, 107740, 103801, 109954, 9174, 103664, 18, 113746, 21909, 21, 113746, 16144, 117232, 29295, 32149, 117295, 113850, 75910, 113245, 105525, 107691, 19732, 57106, 115694, 111476, 107691, 18655, 127303, 104984, 92776, 126101, 105525, 107691, 29295, 47406, 35287, 78434, 9174, 58426, 103846, 5486, 46034, 24186, 107898, 35330, 119703, 24273, 71289, 114225, 107898, 35330, 29295, 111654, 102800, 24273, 107898, 125683, 62004, 38641, 9174, 90620, 15024, 5486, 46729, 16144, 105525, 105368, 109518, 15682, 50021, 75267, 16144, 103664, 22, 111017, 108680, 108176, 103846, 5486, 108729, 9554, 102052, 113850, 75910, 32977, 106624, 15682, 121568, 18655, 73686, 113245, 105525, 107691, 126130, 125683, 62004, 78434, 9174, 14711, 117826, 19000, 101987, 126559, 46729, 30512, 105525, 30369, 109335, 125545, 32149, 95532, 112599, 101987, 126559, 46729, 32977, 105525, 30369, 109335, 88367, 38641, 9174, 90620, 15024, 5486, 32943, 111182, 38093, 16556, 104405, 120837, 104654, 99750, 125334, 38144, 114732, 103846, 5486, 46729, 29295, 105525, 31431, 109669, 124749, 15682, 26854, 76947, 103801, 61689, 9174, 58426, 103846, 5486, 108729, 9554, 102052, 56906, 86436, 123090, 46729, 30512, 105525, 107691, 54926, 106592, 33334, 125683, 62004, 78434, 9174, 567, 111279, 30512, 105525, 30369, 104983, 16144, 112984, 23187, 15682, 60868, 57933, 25197, 76739, 16144, 107740, 119279, 125683, 62004, 198, 46729, 30512, 105525, 30369, 104983, 20230, 59614, 116156, 108176, 112973, 46729, 16144, 112984, 23187, 38641, 9174, 46729, 16144, 112984, 23187, 30512, 103350, 102923, 103792, 16937, 91875, 106518, 108695, 30512, 105994, 16556, 109242, 9039, 106767, 39926, 102782, 15024, 104526, 104004, 104468, 5486, 108008, 20230, 46034, 56965, 29295, 32149, 126469, 103801, 61689, 9174, 110924, 16556, 33334, 125683, 62004, 26854, 112973, 111476, 118823, 55031, 15120, 106885, 16556, 112984, 23187, 103963, 117943, 29295, 108608, 13177, 60868, 57933, 25197, 76739, 10646, 38641, 9174, 60868, 57933, 25197, 76739, 77181, 5486, 46729, 16144, 108285, 30813, 71289, 76739, 104612, 5486, 113638, 8107, 9039, 123160, 108134, 55031, 106116, 46729, 20230, 32335, 109431, 16144, 16937, 91875, 106518, 108695, 16144, 126362, 19732, 46729, 16144, 50021, 75267, 112984, 23187, 117824, 58942, 33541, 9174, 85701, 55031, 46729, 30512, 105525, 103950, 19732, 113727, 100934, 24273, 15682, 5486, 112371, 104328, 107740, 39926, 64121, 38144, 72315, 9174, 567, 111279, 30512, 105525, 30369, 104983, 16144, 61633, 28542, 123011, 62004, 198, 51330, 77219, 77181, 5486, 46729, 30512, 105525, 30369, 104983, 16144, 61633, 28542, 30512, 123011, 62004, 79721, 9174, 46729, 16144, 105525, 107691, 15682, 108008, 20230, 27384, 112495, 35330, 109518, 29295, 91875, 47884, 103846, 5486, 114715, 72661, 125173, 21105, 103, 16995, 104466, 30926, 25580, 107253, 104874, 19732, 30926, 25580, 114140, 30512, 17486, 254, 110104, 105908, 107693, 38641, 9174, 12, 111279, 16144, 105525, 105368, 16144, 89753, 33121, 71289, 117232, 30512, 102178, 111665, 39926, 33334, 47884, 198, 12, 111279, 30512, 105525, 104533, 50834, 112649, 117295, 106382, 11883, 30512, 102178, 111665, 39926, 33334, 47884, 198, 12, 111279, 30512, 105525, 30369, 113009, 109215, 26854, 30926, 25580, 107253, 104874, 30512, 39926, 33334, 47884, 198, 12, 111279, 30512, 105525, 104533, 50834, 20230, 125338, 112987, 124324, 106592, 114140, 54926, 198, 17905, 61304, 16144, 61633, 28542, 30512, 21105, 96, 107277, 19732, 114140, 39926, 55031, 5486, 46729, 16144, 105525, 107691, 20230, 122678, 64121, 17129, 109954, 9174, 126738, 5486, 46729, 16144, 112984, 23187, 123410, 104983, 15682, 13177, 60868, 57933, 25197, 76739, 10646, 29295, 108008, 20230, 102924, 60632, 38641, 9174, 118823, 55031, 15120, 106885, 16556, 112984, 23187, 5, 109431, 56051, 16937, 91875, 106518, 16144, 126362, 29295, 88367, 26854, 103846, 115847, 55031, 105525, 107691, 30512, 113727, 100934, 24273, 15682, 112371, 104328, 107740, 39926, 64121, 38144, 72315, 9174, 7058, 14711, 87109, 91875, 106518, 105525, 105368, 30512, 20, 8107, 23897, 32943, 117657, 104983, 16144, 85188, 35330, 122282, 41007, 765, 110944, 110, 104533, 50834, 16144, 61633, 28542, 32977, 50338, 108323, 198, 14711, 87109, 91875, 106518, 112984, 23187, 16144, 61633, 28542, 30512, 50338, 108323, 104926, 30926, 123628, 107253, 104874, 71289, 114140, 39926, 33334, 105898, 16995, 115789 ]
[ 126362, 198, 14711, 87109, 91875, 106518, 105525, 105368, 126636, 46034, 114435, 93488, 119557, 30512, 126362, 104926, 27384, 46034, 19732, 16325, 31809, 16144, 121953, 32977, 50338, 108323, 198, 14711, 111279, 30512, 105525, 30369, 102052, 11571, 75146, 17920, 236, 53283, 109375, 71289, 109215, 26854, 107253, 104874, 9458, 74482, 101128, 242, 21105, 103, 16995, 120098, 30512, 50338, 108323, 104926, 45736, 47884, 105525, 105368, 54926, 9522, 14711, 87109, 91875, 106518, 105525, 105368, 122692, 45736, 47884, 105525, 30369, 120098, 71289, 61633, 28542, 30512, 50338, 108323, 198, 14711, 118942, 64121, 109913, 58942, 16144, 85188, 35330, 30512, 110022, 123011, 62004, 104926, 107792, 85188, 41007, 71289, 85188, 35330, 103851, 21418, 16144, 66378, 27452, 32977, 126362, 198, 14711, 87109, 91875, 106518, 105525, 105368, 126101, 61633, 56051, 16995, 806, 16144, 120098, 104926, 103350, 104983, 16144, 20251, 32131, 112193, 32977, 39209, 107290, 126362, 198, 14711, 118942, 110362, 42634, 107060, 29295, 108618, 103836, 46729, 30512, 105525, 30369, 107803, 16144, 120098, 71289, 61633, 28542, 30512, 50338, 108323, 104926, 45736, 47884, 105525, 30369, 41007, 71289, 1131, 128001, 128000, 827, 18630, 236, 234, 101129, 116685, 31075, 227, 29430, 83125, 103991, 198, 83125, 20230, 102987, 64121, 30512, 21601, 105262, 30926, 27452, 71289, 119526, 29295, 111654, 102800, 110018, 123213, 15682, 27384, 102769, 26854, 108134, 39084, 115717, 33541, 113637, 110018, 15120, 119752, 30512, 119869, 55031, 114626, 103296, 100204, 121710, 111842, 103868, 78183, 30297, 104468, 17161, 39276, 107707, 102404, 101067, 38641, 1811, 22649, 39276, 17792, 105110, 30832, 33671, 20230, 118146, 33035, 39926, 55031, 5486, 109215, 26854, 110229, 103378, 30512, 126120, 96455, 112535, 98499, 104004, 123253, 9174, 90620, 5486, 92776, 102669, 48634, 16144, 22656, 122416, 98499, 104127, 16995, 104533, 5486, 105994, 107809, 117083, 53283, 109375, 16144, 109026, 29295, 20119, 107, 106824, 103801, 61689, 1811, 74245, 60358, 16144, 39880, 125916, 57326, 67075, 30512, 104611, 103892, 20230, 22324, 102532, 98499, 104004, 22656, 15682, 23, 111017, 113314, 20230, 126128, 58942, 5486, 17, 111017, 113314, 15682, 45163, 37507, 16144, 124122, 102099, 126330, 103306, 102491, 105586, 30512, 98499, 104004, 125231, 111769, 123253, 32149, 9174, 102491, 105586, 15682, 13177, 50338, 108323, 10646, 55031, 98499, 104004, 106592, 33334, 125683, 62004, 78434, 1811, 102491, 105586, 30512, 113954, 54926, 30297, 58942, 16556, 107693, 26854, 104468, 5486, 114172, 102512, 17905, 16144, 82912, 109669, 76622, 38641, 1811, 67645, 120950, 113146, 20230, 21990, 17129, 106824, 106116, 120955, 113468, 114516, 16144, 91774, 24273, 9458, 113727, 24273, 20230, 16995, 107188, 30369, 117375, 30512, 58318, 107800, 104865, 1811, 102131, 56051, 124858, 29295, 78183, 32149, 104984, 123213, 17161, 16144, 113954, 32977, 103856, 47884, 103130, 104004, 116497, 38641, 9174, 44915, 29295, 111108, 102800, 19732, 112391, 127567, 123213, 125242, 20230, 108882, 104127, 33334, 47884, 103378, 72661, 114392, 38641, 1811, 16995, 17129, 44915, 30512, 113954, 103082, 103470, 111243, 5486, 605, 8107, 5486, 508, 8107, 74482, 5486, 115364, 22324, 32149, 103468, 127749, 29295, 124500, 30369, 118733, 5486, 113938, 5486, 40862, 28542, 125001, 47884, 105908, 57903, 33541, 1811, 106515, 16995, 5486, 102491, 105586, 15682, 82973, 30512, 106613, 111243, 124884, 31431, 107515, 1811, 98499, 64121, 28713, 115737, 100472, 110018, 114225, 124475, 18655, 104028, 101200, 115364, 22656, 125242, 20230, 40053, 104874, 39926, 33334, 47884, 105908, 27384, 102769, 38641, 1811, 102491, 105586, 15682, 117811, 16144, 92776, 102669, 48634, 103306, 32977, 101523, 227, 126235, 38641, 9174, 16995, 17129, 32977, 98499, 64121, 120321, 29295, 104028, 102491, 105586, 102052, 5486, 113146, 30512, 106613, 111243, 91779, 228, 102802, 100604, 103572, 120691, 9554, 9458, 22656, 105284, 109904, 112690, 29295, 102181, 32149, 106824, 61689, 1811, 83747, 103470, 107173, 43240, 119064, 114754, 102491, 105586, 30512, 58426, 104466, 15017, 231, 58942, 100934, 103846, 5486, 117811, 113468, 83125, 20230, 15120, 104091, 16144, 112607, 105578, 30512, 58318, 105262, 115789, 125545, 1811, 122571, 108895, 56051, 117811, 57933, 29220, 122842, 30512, 13177, 112237, 16144, 105578, 30512, 108703, 30369, 25333, 66383, 105324, 104127, 61689, 1811, 112237, 29295, 104195, 16995, 108680, 8239, 114503, 15682, 119448, 117714, 38641, 1811, 128001, 128000, 14711, 112084, 78983, 33710, 198, 52884, 77750, 16556, 112825, 110904, 94632, 106384, 37823, 76739, 78983, 108587, 120, 104699, 48634, 116825, 105784, 124122, 100927, 70626, 102181, 198, 102700, 30046, 114043, 110227, 101772, 109639, 104974, 241, 104858, 111400, 60632, 198, 102404, 23039, 120795, 57207, 91062, 7, 108156, 340, 121374, 220, 16, 11, 2636, 35757, 121409, 85188, 198, 14711, 116201, 237, 107624, 198, 52884, 77750, 105335, 106696, 16144, 39880, 106384, 37823, 76739, 78983, 30512, 30832, 64467, 15024, 5486, 108270, 42634, 117758, 13177, 4438, 311, 10646, 29295, 107121, 103836, 50338, 108323, 22656, 9174, 102208, 50338, 108323, 32977, 17620, 107277, 126172, 47884, 5486, 85707, 64209, 112919, 116882, 30046, 29295, 119869, 20230, 98499, 64121, 104526, 102189, 22656, 115717, 33541, 9174, 111654, 30512, 78244, 116285, 5486, 108031, 114715, 5486, 93302, 16144, 30926, 29295, 5486, 107121, 107462, 104533, 103424, 102518, 106046, 61689, 9174, 39850, 76171, 15682, 5486, 77219, 30512, 102181, 47884, 100909, 16144, 107693, 34171, 30512, 126014, 107290, 61689, 1811, 85997, 115926, 25580, 119627, 90578, 52884, 77750, 71289, 116229, 30512, 124448, 126867, 5486, 27327, 96455, 29295, 115442, 33503, 104435, 39177, 71289, 5486, 102494, 78459, 102832, 38248, 115, 78205, 16073, 29295, 17297, 29295, 100472, 39177, 104309, 20230, 5486, 117355, 47884, 98499, 64121, 104196, 127145, 9174, 126362, 103792, 11819, 122887, 16144, 103223, 64178, 71289, 52884, 77750, 15682, 112160, 121640, 106081, 56051, 31431, 5486, 34273, 110, 111182, 56051, 31431, 39926, 64121, 79721, 9174, 33334, 125683, 62004, 16144, 52884, 77750, 109853, 15682, 5486, 116882, 30046, 102052, 30591, 109709, 70563, 16073, 110018, 105823, 104127, 56051, 9174, 39880, 52591, 37823, 76739, 78983, 109853, 16144, 106548, 103214, 64121, 71289, 112825, 110904, 26854, 122984, 71289, 5486, 66204, 16144, 102647, 102802, 24273, 104309, 15682, 114318, 111243, 17620, 107277, 126172, 16995, 38641, 9174, 30775, 123, 121995, 19732, 88435, 32977, 66953, 119930, 32977, 103424, 47884, 5486, 103892, 109156, 31431, 126172, 16995, 38641, 9174, 92693, 52884, 77750, 19732, 106063, 37026, 45923, 39850, 76171, 16144, 110176, 24273, 30512, 126362, 127145, 1811, 116882, 30046, 15682, 5486, 110577, 20230, 106063, 37026, 45923, 39850, 76171, 30512, 115181, 107113, 105879, 5486, 92693, 52884, 77750, 15682, 106081, 103801, 72342, 104127, 56051, 105879, 110371, 105494, 16144, 107624, 95001, 15682, 106084, 107515, 123601, 107809, 77181, 5486, 15682, 38144, 26854, 52884, 77750, 30512, 50338, 108323, 127145, 9174, 57933, 108969, 44971, 84477, 32977, 92693, 16556, 21388, 113529, 56051, 116882, 30046, 15682, 5486, 19361, 42506, 57933, 108969, 57933, 84477, 55031, 85707, 62004, 79721, 9174, 66378, 20230, 5486, 30537, 34617, 46028, 17129, 77181, 99849, 27479, 32149, 98499, 64121, 104196, 15024, 5486, 114392, 20230, 113954, 112990, 5486, 107734, 20230, 118013, 33541, 1811, 109006, 24186, 22324, 102532, 5486, 125173, 120937, 15120, 119752, 38641, 9174, 827, 118665, 198, 20, 38574, 106090, 16325, 220, 46702, 720, 567, 94632, 106384, 37823, 76739, 78983, 97518, 89046, 22656, 108264, 16144, 17, 198, 117475, 103732, 47884, 78183, 117295, 93302, 16144, 100927, 70626, 102181, 108295, 100204, 107436, 124911, 32977, 5486, 30775, 104, 108881, 56051, 17792, 32977, 123213, 35083, 116229, 29295, 59614, 101860, 19967, 104028, 198, 116882, 30046, 126481, 65743, 104067, 117406, 198, 102404, 23039, 26313, 107167, 76739, 25197, 103906, 52884, 7, 108156, 340, 121374, 220, 16, 11, 17698, 35757, 121409, 85188, 198, 45923, 39850, 76171, 115181, 71289, 93302, 16144, 76171, 71634, 64178, 104309, 5486, 108270, 42634, 55031, 50338, 108323, 39926, 5486, 117039, 32977, 43240, 47884, 78183, 107277, 126172, 16995, 38641, 9174, 71493, 32131, 25005, 248, 78767, 16144, 26854, 103836, 123017, 98499, 64121, 126172, 30813, 16144, 57326, 112718, 117084, 61689, 9174, 78388, 15024, 110371, 22656, 16144, 118028, 76428, 115307, 57933, 108941, 10110, 198, 93302, 11883, 7705, 30512, 76171, 71634, 64178, 54926, 105908, 25580, 29172, 117084, 61689, 1811, 20394, 16144, 33655, 16995, 24273, 32977, 51330, 57933, 108941, 20230, 117989, 76947, 50338, 108323, 103792, 105879, 5486, 57933, 108941, 37026, 33014, 29295, 2118, 115364, 19967, 31431, 106956, 57933, 108941, 19732, 40862, 103836, 32149, 863, 29295, 5486, 107734, 80195, 59739, 22656, 32149, 33476, 116421, 112366, 16144, 120098, 115717, 33541, 1811, 105697, 228, 30046, 102052, 110371, 57933, 108941, 15682, 16937, 70141, 50834, 103351, 103846, 5486, 25580, 103268, 16144, 109933, 57326, 102514, 19732, 114626, 16144, 109933, 57326, 102514, 116771, 29295, 107734, 20230, 118013, 79721, 1811, 20394, 16144, 85707, 23538, 116700, 71289, 76171, 71634, 64178, 41007, 16144, 50338, 108323, 26854, 105879, 5486, 127177, 39880, 106384, 37823, 76739, 78983, 97518, 89046, 22656, 72661, 27384, 33014, 5486, 31958, 61304, 110731, 44915, 36785, 106046, 61689, 9174, 84616, 11707, 10110, 76171, 71634, 64178, 25287, 16144, 102895, 26269, 70563, 94550, 71493, 84477, 7705, 30512, 125540, 41758, 76171, 39926, 38129, 54926, 105879, 5486, 110191, 118372, 102895, 103830, 104309, 110371, 125540, 41758, 76171, 20230, 109834, 103868, 107407, 19732, 107734, 20230, 80195, 59739, 32149, 110241, 33121, 107515, 9174, 16, 11, 17698, 35757, 10110, 85188, 113487, 50834, 7705, 16556, 5486, 90563, 11707, 16144, 47000, 102334, 19361, 42506, 57933, 108941, 30512, 109198, 17701, 112990, 78698, 107290, 32977, 103424, 118544, 110241, 33121, 107515, 1811, 128001, 128000, 32018, 17792, 108134, 116229, 58426, 113009, 51330, 108695, 109156, 100472, 103306, 32977, 5486, 118124, 104196, 72342, 81219, 89154, 76428, 103906, 52884, 26854, 108436, 107430, 16556, 5486, 105994, 29295, 126407, 109315, 101200, 115717, 33541, 9174, 16937, 66378, 23187, 43240, 9039, 117758, 102181, 50834, 121423, 103195, 30926, 15682, 115924, 103359, 20230, 109215, 38641, 124845, 5486, 17701, 107430, 74482, 32977, 41642, 111331, 114754, 61689, 9174, 80539, 53900, 108436, 107430, 30512, 103721, 108, 31431, 104196, 17663, 118733, 53283, 124195, 61689, 118855, 5486, 112361, 47884, 101365, 109076, 23530, 5486, 61786, 106496, 23530, 72661, 30358, 121676, 71289, 116945, 121676, 5486, 119008, 105107, 67178, 5486, 103882, 104770, 115132, 80805, 44971, 33710, 104309, 30512, 104356, 20230, 5486, 67645, 120950, 66378, 17599, 112, 107407, 16144, 38641, 9174, 80539, 53900, 108436, 107430, 30512, 113727, 102204, 33541, 109900, 108422, 33121, 5486, 67645, 120950, 83799, 16556, 110095, 16995, 121142, 37271, 16144, 75910, 106528, 102923, 102332, 16144, 126521, 110229, 30512, 102181, 102532, 64121, 38144, 72315, 9174, 105184, 111201, 100783, 102, 16995, 110229, 55031, 105335, 84477, 112990, 5486, 112909, 76537, 38144, 126386, 118482, 32938, 110792, 41920, 110993, 33208, 29295, 103130, 126559, 105879, 30591, 104984, 108048, 29295, 30591, 112568, 16144, 117903, 95001, 112603, 30512, 102936, 103306, 103801, 61689, 9174, 53900, 5486, 75910, 106528, 101275, 98220, 72661, 42016, 103826, 38641, 1811, 1049, 15, 116358, 75910, 106528, 102923, 102332, 72661, 17905, 65743, 16144, 109161, 40526, 72661, 30358, 121676, 71289, 116945, 121676, 5486, 119008, 105107, 67178, 5486, 103882, 104770, 115132, 80805, 44971, 33710, 104309, 30512, 104356, 20230, 5486, 19361, 13372, 39850, 38248, 104, 115247, 22656, 61337, 71289, 49792, 75267, 32977, 43240, 47884, 91774, 102204, 33541, 9174, 30591, 19732, 5486, 75910, 106528, 101275, 98220, 72661, 42016, 103826, 38641, 113637, 104983, 5486, 110904, 106063, 16144, 118482, 30046, 103195, 32149, 104405, 32149, 15682, 30926, 112772, 104873, 115694, 33334, 47884, 109215, 115991, 33541, 9174, 966, 31640, 16325, 114457, 23897, 104989, 108176, 103846, 5486, 32977, 100472, 16995, 26854, 30813, 32977, 57903, 5486, 60358, 37795, 96, 102052, 5486, 35417, 9554, 102923, 102332, 55031, 70821, 56965, 114435, 111848, 75910, 106528, 60868, 113649, 117718, 104908, 29295, 123201, 112535, 75910, 106528, 108436, 107430, 29295, 56051, 16995, 127852, 91875, 20230, 55031, 106824, 114732, 108995, 19732, 122225, 125545, 9174, 108436, 107430, 15682, 5486, 115364, 106556, 16144, 70141, 17905, 19732, 105360, 23039, 39926, 108436, 107430, 112415, 16144, 111671, 113468, 70821, 56965, 114435, 16144, 106613, 112167, 54926, 102923, 102332, 16144, 32018, 17792, 116229, 38641, 9174, 20, 8107, 123470, 120987, 20230, 5486, 67645, 120950, 83799, 16556, 110095, 16995, 121142, 37271, 16144, 75910, 106528, 102923, 102332, 16144, 126521, 110229, 30512, 102181, 102532, 64121, 38144, 72315, 9174, 51330, 118482, 30046, 77181, 124897, 1811, 75910, 106528, 107430, 107809, 72661, 116622, 102697, 20230, 105360, 104127, 127712, 78983, 32018, 114754, 43240, 47884, 115515, 16144, 75910, 106528, 102923, 102332, 16144, 32018, 17792, 108134, 30512, 108167, 121247, 76947, 61689, 9174, 107943, 39177, 5486, 102676, 29295, 104364, 56051, 101200, 115717, 33541, 1811, 966, 31640, 15682, 26854, 112371, 75910, 106528, 108436, 107430, 102052, 5486, 110526, 16144, 75910, 106528, 102923, 102332, 20230, 118935, 11883, 84389, 104533, 91763, 100472, 31431, 54926, 102944, 38641, 9174, 19012, 110, 107121, 16325, 1811, 68, 75910, 106528, 108436, 107430, 54926, 115552, 71289, 30832, 105888, 30512, 31958, 105184, 116446, 72315, 1811, 65854, 114181, 109904, 91774, 22656, 23530, 71289, 25197, 102832, 52414, 5486, 127557, 109713, 60868, 84477, 104309, 29295, 77413, 87447, 9174, 25197, 102832, 52414, 105335, 26269, 52591, 15682, 32977, 43514, 85791, 25827, 5486, 115320, 102456, 105335, 26269, 52591, 71289, 122626, 105335, 26269, 52591, 123160, 77195, 28190, 16556, 110526, 20230, 40862, 105260, 39926, 64121, 30369, 103854, 112495, 16144, 38641, 9174, 108895, 39926, 108436, 107430, 23706, 244, 29295, 59739, 16995, 100481, 76947, 114732, 123253, 1811, 119254, 20230, 108882, 110993, 109904, 75910, 106528, 102923, 102332, 15682, 26854, 20230, 29295, 99959, 39850, 26854, 104865, 30512, 78698, 107290, 64121, 38144, 72315, 9174, 108436, 107430, 30512, 78698, 107290, 64121, 30369, 113637, 104466, 13177, 108436, 107430, 56051, 16995, 127852, 91875, 10646, 20230, 55031, 106824, 114732, 16144, 38641, 9174, 51330, 101200, 115717, 108149, 112568, 15682, 108436, 107430, 29295, 56051, 16995, 102677, 17792, 32977, 16995, 104984, 116898, 101860, 33121, 15682, 108436, 107430, 29295, 56051, 16995, 114667, 29295, 43240 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 126362, 198, 14711, 87109, 91875, 106518, 105525, 105368, 126636, 46034, 114435, 93488, 119557, 30512, 126362, 104926, 27384, 46034, 19732, 16325, 31809, 16144, 121953, 32977, 50338, 108323, 198, 14711, 111279, 30512, 105525, 30369, 102052, 11571, 75146, 17920, 236, 53283, 109375, 71289, 109215, 26854, 107253, 104874, 9458, 74482, 101128, 242, 21105, 103, 16995, 120098, 30512, 50338, 108323, 104926, 45736, 47884, 105525, 105368, 54926, 9522, 14711, 87109, 91875, 106518, 105525, 105368, 122692, 45736, 47884, 105525, 30369, 120098, 71289, 61633, 28542, 30512, 50338, 108323, 198, 14711, 118942, 64121, 109913, 58942, 16144, 85188, 35330, 30512, 110022, 123011, 62004, 104926, 107792, 85188, 41007, 71289, 85188, 35330, 103851, 21418, 16144, 66378, 27452, 32977, 126362, 198, 14711, 87109, 91875, 106518, 105525, 105368, 126101, 61633, 56051, 16995, 806, 16144, 120098, 104926, 103350, 104983, 16144, 20251, 32131, 112193, 32977, 39209, 107290, 126362, 198, 14711, 118942, 110362, 42634, 107060, 29295, 108618, 103836, 46729, 30512, 105525, 30369, 107803, 16144, 120098, 71289, 61633, 28542, 30512, 50338, 108323, 104926, 45736, 47884, 105525, 30369, 41007, 71289, 1131, 128001, 128000, 827, 18630, 236, 234, 101129, 116685, 31075, 227, 29430, 83125, 103991, 198, 83125, 20230, 102987, 64121, 30512, 21601, 105262, 30926, 27452, 71289, 119526, 29295, 111654, 102800, 110018, 123213, 15682, 27384, 102769, 26854, 108134, 39084, 115717, 33541, 113637, 110018, 15120, 119752, 30512, 119869, 55031, 114626, 103296, 100204, 121710, 111842, 103868, 78183, 30297, 104468, 17161, 39276, 107707, 102404, 101067, 38641, 1811, 22649, 39276, 17792, 105110, 30832, 33671, 20230, 118146, 33035, 39926, 55031, 5486, 109215, 26854, 110229, 103378, 30512, 126120, 96455, 112535, 98499, 104004, 123253, 9174, 90620, 5486, 92776, 102669, 48634, 16144, 22656, 122416, 98499, 104127, 16995, 104533, 5486, 105994, 107809, 117083, 53283, 109375, 16144, 109026, 29295, 20119, 107, 106824, 103801, 61689, 1811, 74245, 60358, 16144, 39880, 125916, 57326, 67075, 30512, 104611, 103892, 20230, 22324, 102532, 98499, 104004, 22656, 15682, 23, 111017, 113314, 20230, 126128, 58942, 5486, 17, 111017, 113314, 15682, 45163, 37507, 16144, 124122, 102099, 126330, 103306, 102491, 105586, 30512, 98499, 104004, 125231, 111769, 123253, 32149, 9174, 102491, 105586, 15682, 13177, 50338, 108323, 10646, 55031, 98499, 104004, 106592, 33334, 125683, 62004, 78434, 1811, 102491, 105586, 30512, 113954, 54926, 30297, 58942, 16556, 107693, 26854, 104468, 5486, 114172, 102512, 17905, 16144, 82912, 109669, 76622, 38641, 1811, 67645, 120950, 113146, 20230, 21990, 17129, 106824, 106116, 120955, 113468, 114516, 16144, 91774, 24273, 9458, 113727, 24273, 20230, 16995, 107188, 30369, 117375, 30512, 58318, 107800, 104865, 1811, 102131, 56051, 124858, 29295, 78183, 32149, 104984, 123213, 17161, 16144, 113954, 32977, 103856, 47884, 103130, 104004, 116497, 38641, 9174, 44915, 29295, 111108, 102800, 19732, 112391, 127567, 123213, 125242, 20230, 108882, 104127, 33334, 47884, 103378, 72661, 114392, 38641, 1811, 16995, 17129, 44915, 30512, 113954, 103082, 103470, 111243, 5486, 605, 8107, 5486, 508, 8107, 74482, 5486, 115364, 22324, 32149, 103468, 127749, 29295, 124500, 30369, 118733, 5486, 113938, 5486, 40862, 28542, 125001, 47884, 105908, 57903, 33541, 1811, 106515, 16995, 5486, 102491, 105586, 15682, 82973, 30512, 106613, 111243, 124884, 31431, 107515, 1811, 98499, 64121, 28713, 115737, 100472, 110018, 114225, 124475, 18655, 104028, 101200, 115364, 22656, 125242, 20230, 40053, 104874, 39926, 33334, 47884, 105908, 27384, 102769, 38641, 1811, 102491, 105586, 15682, 117811, 16144, 92776, 102669, 48634, 103306, 32977, 101523, 227, 126235, 38641, 9174, 16995, 17129, 32977, 98499, 64121, 120321, 29295, 104028, 102491, 105586, 102052, 5486, 113146, 30512, 106613, 111243, 91779, 228, 102802, 100604, 103572, 120691, 9554, 9458, 22656, 105284, 109904, 112690, 29295, 102181, 32149, 106824, 61689, 1811, 83747, 103470, 107173, 43240, 119064, 114754, 102491, 105586, 30512, 58426, 104466, 15017, 231, 58942, 100934, 103846, 5486, 117811, 113468, 83125, 20230, 15120, 104091, 16144, 112607, 105578, 30512, 58318, 105262, 115789, 125545, 1811, 122571, 108895, 56051, 117811, 57933, 29220, 122842, 30512, 13177, 112237, 16144, 105578, 30512, 108703, 30369, 25333, 66383, 105324, 104127, 61689, 1811, 112237, 29295, 104195, 16995, 108680, 8239, 114503, 15682, 119448, 117714, 38641, 1811, 128001, 128000, 14711, 112084, 78983, 33710, 198, 52884, 77750, 16556, 112825, 110904, 94632, 106384, 37823, 76739, 78983, 108587, 120, 104699, 48634, 116825, 105784, 124122, 100927, 70626, 102181, 198, 102700, 30046, 114043, 110227, 101772, 109639, 104974, 241, 104858, 111400, 60632, 198, 102404, 23039, 120795, 57207, 91062, 7, 108156, 340, 121374, 220, 16, 11, 2636, 35757, 121409, 85188, 198, 14711, 116201, 237, 107624, 198, 52884, 77750, 105335, 106696, 16144, 39880, 106384, 37823, 76739, 78983, 30512, 30832, 64467, 15024, 5486, 108270, 42634, 117758, 13177, 4438, 311, 10646, 29295, 107121, 103836, 50338, 108323, 22656, 9174, 102208, 50338, 108323, 32977, 17620, 107277, 126172, 47884, 5486, 85707, 64209, 112919, 116882, 30046, 29295, 119869, 20230, 98499, 64121, 104526, 102189, 22656, 115717, 33541, 9174, 111654, 30512, 78244, 116285, 5486, 108031, 114715, 5486, 93302, 16144, 30926, 29295, 5486, 107121, 107462, 104533, 103424, 102518, 106046, 61689, 9174, 39850, 76171, 15682, 5486, 77219, 30512, 102181, 47884, 100909, 16144, 107693, 34171, 30512, 126014, 107290, 61689, 1811, 85997, 115926, 25580, 119627, 90578, 52884, 77750, 71289, 116229, 30512, 124448, 126867, 5486, 27327, 96455, 29295, 115442, 33503, 104435, 39177, 71289, 5486, 102494, 78459, 102832, 38248, 115, 78205, 16073, 29295, 17297, 29295, 100472, 39177, 104309, 20230, 5486, 117355, 47884, 98499, 64121, 104196, 127145, 9174, 126362, 103792, 11819, 122887, 16144, 103223, 64178, 71289, 52884, 77750, 15682, 112160, 121640, 106081, 56051, 31431, 5486, 34273, 110, 111182, 56051, 31431, 39926, 64121, 79721, 9174, 33334, 125683, 62004, 16144, 52884, 77750, 109853, 15682, 5486, 116882, 30046, 102052, 30591, 109709, 70563, 16073, 110018, 105823, 104127, 56051, 9174, 39880, 52591, 37823, 76739, 78983, 109853, 16144, 106548, 103214, 64121, 71289, 112825, 110904, 26854, 122984, 71289, 5486, 66204, 16144, 102647, 102802, 24273, 104309, 15682, 114318, 111243, 17620, 107277, 126172, 16995, 38641, 9174, 30775, 123, 121995, 19732, 88435, 32977, 66953, 119930, 32977, 103424, 47884, 5486, 103892, 109156, 31431, 126172, 16995, 38641, 9174, 92693, 52884, 77750, 19732, 106063, 37026, 45923, 39850, 76171, 16144, 110176, 24273, 30512, 126362, 127145, 1811, 116882, 30046, 15682, 5486, 110577, 20230, 106063, 37026, 45923, 39850, 76171, 30512, 115181, 107113, 105879, 5486, 92693, 52884, 77750, 15682, 106081, 103801, 72342, 104127, 56051, 105879, 110371, 105494, 16144, 107624, 95001, 15682, 106084, 107515, 123601, 107809, 77181, 5486, 15682, 38144, 26854, 52884, 77750, 30512, 50338, 108323, 127145, 9174, 57933, 108969, 44971, 84477, 32977, 92693, 16556, 21388, 113529, 56051, 116882, 30046, 15682, 5486, 19361, 42506, 57933, 108969, 57933, 84477, 55031, 85707, 62004, 79721, 9174, 66378, 20230, 5486, 30537, 34617, 46028, 17129, 77181, 99849, 27479, 32149, 98499, 64121, 104196, 15024, 5486, 114392, 20230, 113954, 112990, 5486, 107734, 20230, 118013, 33541, 1811, 109006, 24186, 22324, 102532, 5486, 125173, 120937, 15120, 119752, 38641, 9174, 827, 118665, 198, 20, 38574, 106090, 16325, 220, 46702, 720, 567, 94632, 106384, 37823, 76739, 78983, 97518, 89046, 22656, 108264, 16144, 17, 198, 117475, 103732, 47884, 78183, 117295, 93302, 16144, 100927, 70626, 102181, 108295, 100204, 107436, 124911, 32977, 5486, 30775, 104, 108881, 56051, 17792, 32977, 123213, 35083, 116229, 29295, 59614, 101860, 19967, 104028, 198, 116882, 30046, 126481, 65743, 104067, 117406, 198, 102404, 23039, 26313, 107167, 76739, 25197, 103906, 52884, 7, 108156, 340, 121374, 220, 16, 11, 17698, 35757, 121409, 85188, 198, 45923, 39850, 76171, 115181, 71289, 93302, 16144, 76171, 71634, 64178, 104309, 5486, 108270, 42634, 55031, 50338, 108323, 39926, 5486, 117039, 32977, 43240, 47884, 78183, 107277, 126172, 16995, 38641, 9174, 71493, 32131, 25005, 248, 78767, 16144, 26854, 103836, 123017, 98499, 64121, 126172, 30813, 16144, 57326, 112718, 117084, 61689, 9174, 78388, 15024, 110371, 22656, 16144, 118028, 76428, 115307, 57933, 108941, 10110, 198, 93302, 11883, 7705, 30512, 76171, 71634, 64178, 54926, 105908, 25580, 29172, 117084, 61689, 1811, 20394, 16144, 33655, 16995, 24273, 32977, 51330, 57933, 108941, 20230, 117989, 76947, 50338, 108323, 103792, 105879, 5486, 57933, 108941, 37026, 33014, 29295, 2118, 115364, 19967, 31431, 106956, 57933, 108941, 19732, 40862, 103836, 32149, 863, 29295, 5486, 107734, 80195, 59739, 22656, 32149, 33476, 116421, 112366, 16144, 120098, 115717, 33541, 1811, 105697, 228, 30046, 102052, 110371, 57933, 108941, 15682, 16937, 70141, 50834, 103351, 103846, 5486, 25580, 103268, 16144, 109933, 57326, 102514, 19732, 114626, 16144, 109933, 57326, 102514, 116771, 29295, 107734, 20230, 118013, 79721, 1811, 20394, 16144, 85707, 23538, 116700, 71289, 76171, 71634, 64178, 41007, 16144, 50338, 108323, 26854, 105879, 5486, 127177, 39880, 106384, 37823, 76739, 78983, 97518, 89046, 22656, 72661, 27384, 33014, 5486, 31958, 61304, 110731, 44915, 36785, 106046, 61689, 9174, 84616, 11707, 10110, 76171, 71634, 64178, 25287, 16144, 102895, 26269, 70563, 94550, 71493, 84477, 7705, 30512, 125540, 41758, 76171, 39926, 38129, 54926, 105879, 5486, 110191, 118372, 102895, 103830, 104309, 110371, 125540, 41758, 76171, 20230, 109834, 103868, 107407, 19732, 107734, 20230, 80195, 59739, 32149, 110241, 33121, 107515, 9174, 16, 11, 17698, 35757, 10110, 85188, 113487, 50834, 7705, 16556, 5486, 90563, 11707, 16144, 47000, 102334, 19361, 42506, 57933, 108941, 30512, 109198, 17701, 112990, 78698, 107290, 32977, 103424, 118544, 110241, 33121, 107515, 1811, 128001, 128000, 32018, 17792, 108134, 116229, 58426, 113009, 51330, 108695, 109156, 100472, 103306, 32977, 5486, 118124, 104196, 72342, 81219, 89154, 76428, 103906, 52884, 26854, 108436, 107430, 16556, 5486, 105994, 29295, 126407, 109315, 101200, 115717, 33541, 9174, 16937, 66378, 23187, 43240, 9039, 117758, 102181, 50834, 121423, 103195, 30926, 15682, 115924, 103359, 20230, 109215, 38641, 124845, 5486, 17701, 107430, 74482, 32977, 41642, 111331, 114754, 61689, 9174, 80539, 53900, 108436, 107430, 30512, 103721, 108, 31431, 104196, 17663, 118733, 53283, 124195, 61689, 118855, 5486, 112361, 47884, 101365, 109076, 23530, 5486, 61786, 106496, 23530, 72661, 30358, 121676, 71289, 116945, 121676, 5486, 119008, 105107, 67178, 5486, 103882, 104770, 115132, 80805, 44971, 33710, 104309, 30512, 104356, 20230, 5486, 67645, 120950, 66378, 17599, 112, 107407, 16144, 38641, 9174, 80539, 53900, 108436, 107430, 30512, 113727, 102204, 33541, 109900, 108422, 33121, 5486, 67645, 120950, 83799, 16556, 110095, 16995, 121142, 37271, 16144, 75910, 106528, 102923, 102332, 16144, 126521, 110229, 30512, 102181, 102532, 64121, 38144, 72315, 9174, 105184, 111201, 100783, 102, 16995, 110229, 55031, 105335, 84477, 112990, 5486, 112909, 76537, 38144, 126386, 118482, 32938, 110792, 41920, 110993, 33208, 29295, 103130, 126559, 105879, 30591, 104984, 108048, 29295, 30591, 112568, 16144, 117903, 95001, 112603, 30512, 102936, 103306, 103801, 61689, 9174, 53900, 5486, 75910, 106528, 101275, 98220, 72661, 42016, 103826, 38641, 1811, 1049, 15, 116358, 75910, 106528, 102923, 102332, 72661, 17905, 65743, 16144, 109161, 40526, 72661, 30358, 121676, 71289, 116945, 121676, 5486, 119008, 105107, 67178, 5486, 103882, 104770, 115132, 80805, 44971, 33710, 104309, 30512, 104356, 20230, 5486, 19361, 13372, 39850, 38248, 104, 115247, 22656, 61337, 71289, 49792, 75267, 32977, 43240, 47884, 91774, 102204, 33541, 9174, 30591, 19732, 5486, 75910, 106528, 101275, 98220, 72661, 42016, 103826, 38641, 113637, 104983, 5486, 110904, 106063, 16144, 118482, 30046, 103195, 32149, 104405, 32149, 15682, 30926, 112772, 104873, 115694, 33334, 47884, 109215, 115991, 33541, 9174, 966, 31640, 16325, 114457, 23897, 104989, 108176, 103846, 5486, 32977, 100472, 16995, 26854, 30813, 32977, 57903, 5486, 60358, 37795, 96, 102052, 5486, 35417, 9554, 102923, 102332, 55031, 70821, 56965, 114435, 111848, 75910, 106528, 60868, 113649, 117718, 104908, 29295, 123201, 112535, 75910, 106528, 108436, 107430, 29295, 56051, 16995, 127852, 91875, 20230, 55031, 106824, 114732, 108995, 19732, 122225, 125545, 9174, 108436, 107430, 15682, 5486, 115364, 106556, 16144, 70141, 17905, 19732, 105360, 23039, 39926, 108436, 107430, 112415, 16144, 111671, 113468, 70821, 56965, 114435, 16144, 106613, 112167, 54926, 102923, 102332, 16144, 32018, 17792, 116229, 38641, 9174, 20, 8107, 123470, 120987, 20230, 5486, 67645, 120950, 83799, 16556, 110095, 16995, 121142, 37271, 16144, 75910, 106528, 102923, 102332, 16144, 126521, 110229, 30512, 102181, 102532, 64121, 38144, 72315, 9174, 51330, 118482, 30046, 77181, 124897, 1811, 75910, 106528, 107430, 107809, 72661, 116622, 102697, 20230, 105360, 104127, 127712, 78983, 32018, 114754, 43240, 47884, 115515, 16144, 75910, 106528, 102923, 102332, 16144, 32018, 17792, 108134, 30512, 108167, 121247, 76947, 61689, 9174, 107943, 39177, 5486, 102676, 29295, 104364, 56051, 101200, 115717, 33541, 1811, 966, 31640, 15682, 26854, 112371, 75910, 106528, 108436, 107430, 102052, 5486, 110526, 16144, 75910, 106528, 102923, 102332, 20230, 118935, 11883, 84389, 104533, 91763, 100472, 31431, 54926, 102944, 38641, 9174, 19012, 110, 107121, 16325, 1811, 68, 75910, 106528, 108436, 107430, 54926, 115552, 71289, 30832, 105888, 30512, 31958, 105184, 116446, 72315, 1811, 65854, 114181, 109904, 91774, 22656, 23530, 71289, 25197, 102832, 52414, 5486, 127557, 109713, 60868, 84477, 104309, 29295, 77413, 87447, 9174, 25197, 102832, 52414, 105335, 26269, 52591, 15682, 32977, 43514, 85791, 25827, 5486, 115320, 102456, 105335, 26269, 52591, 71289, 122626, 105335, 26269, 52591, 123160, 77195, 28190, 16556, 110526, 20230, 40862, 105260, 39926, 64121, 30369, 103854, 112495, 16144, 38641, 9174, 108895, 39926, 108436, 107430, 23706, 244, 29295, 59739, 16995, 100481, 76947, 114732, 123253, 1811, 119254, 20230, 108882, 110993, 109904, 75910, 106528, 102923, 102332, 15682, 26854, 20230, 29295, 99959, 39850, 26854, 104865, 30512, 78698, 107290, 64121, 38144, 72315, 9174, 108436, 107430, 30512, 78698, 107290, 64121, 30369, 113637, 104466, 13177, 108436, 107430, 56051, 16995, 127852, 91875, 10646, 20230, 55031, 106824, 114732, 16144, 38641, 9174, 51330, 101200, 115717, 108149, 112568, 15682, 108436, 107430, 29295, 56051, 16995, 102677, 17792, 32977, 16995, 104984, 116898, 101860, 33121, 15682, 108436, 107430, 29295, 56051, 16995, 114667, 29295, 43240 ]
[ 118145, 30591, 112568, 16144, 108436, 107430, 60868, 121057, 117824, 103836, 103087, 35083, 36785, 9174, 85707, 49988, 30046, 101772, 23951, 16144, 101682, 114341, 29295, 104577, 102781, 122382, 110071, 1811, 127164, 111769, 32149, 110241, 33121, 107515, 9174, 89154, 76428, 103906, 52884, 26854, 108436, 107430, 114667, 30512, 102181, 102532, 64121, 17129, 109954, 1811, 75910, 106528, 108436, 107430, 30512, 126693, 116898, 101860, 33121, 15682, 108436, 107430, 17663, 125231, 77181, 13177, 8107, 110226, 30512, 115079, 71289, 56051, 16995, 10646, 109215, 26854, 101772, 23951, 114475, 76622, 110071, 118482, 32938, 16144, 111017, 40862, 38641, 9174, 17792, 103234, 126362, 108695, 16144, 32018, 114754, 61304, 107121, 84389, 100481, 47884, 102677, 71634, 111672, 11972, 29295, 111575, 16144, 57207, 96452, 37823, 90962, 123253, 9174, 102131, 56051, 16325, 16556, 121821, 16144, 106444, 103087, 35083, 103195, 105908, 125545, 9174, 32018, 17792, 198, 80539, 5486, 17701, 107430, 54926, 80805, 102514, 16073, 38641, 9174, 108895, 56051, 113173, 37689, 109375, 30512, 15682, 121381, 31431, 69978, 100472, 108436, 107430, 15682, 5486, 21105, 96, 107277, 114267, 108134, 29295, 43240, 47884, 107121, 72342, 124195, 61689, 9174, 16995, 78183, 106644, 30369, 13177, 123259, 114172, 102181, 30512, 21980, 248, 17663, 66383, 95604, 121894, 38641, 1811, 118789, 112535, 104736, 62004, 110071, 104466, 109832, 37689, 49792, 101908, 30512, 39926, 103801, 61689, 9174, 108436, 107430, 30512, 78698, 105262, 104983, 102052, 114140, 120837, 108048, 29295, 30591, 112568, 16144, 108436, 107430, 112415, 16144, 111671, 113468, 70821, 56965, 114435, 16144, 106613, 112167, 54926, 102923, 102332, 16144, 32018, 17792, 116229, 38641, 9174, 118789, 9554, 105352, 15024, 5486, 115364, 106556, 30512, 102404, 127327, 108608, 20230, 121953, 100604, 106046, 100472, 33503, 27384, 56965, 121953, 38641, 9174, 51330, 118482, 30046, 103195, 105110, 81219, 116898, 101860, 33121, 15682, 108436, 107430, 30512, 126020, 5486, 102465, 104754, 116945, 109713, 91482, 96452, 84477, 71289, 105107, 109673, 32938, 104309, 29295, 102138, 80195, 9174, 49792, 75267, 105335, 26269, 52591, 16144, 127712, 78983, 30512, 106767, 39926, 64121, 30369, 103854, 112495, 16144, 38641, 1811, 24186, 16144, 75910, 106528, 102923, 102332, 20230, 118935, 11883, 39926, 120700, 126172, 47884, 109020, 123253, 9174, 75910, 106528, 108436, 107430, 30512, 113727, 104533, 107404, 55031, 105335, 84477, 112990, 19732, 111243, 109688, 117126, 38641, 1811, 19012, 110, 107121, 16325, 16144, 52030, 106528, 104599, 32018, 17792, 102416, 109467, 33334, 99397, 16995, 114146, 29295, 88367, 38641, 9174, 111344, 112827, 117989, 111418, 34048, 102052, 5486, 108436, 107430, 61826, 105352, 117475, 16144, 105994, 15682, 67645, 103171, 75910, 106528, 29295, 56051, 16995, 114667, 29295, 43240, 118145, 30591, 112568, 16144, 102494, 78459, 102832, 38248, 115, 78205, 16073, 30512, 45736, 109315, 114667, 103195, 30926, 15682, 115924, 103359, 20230, 109215, 38641, 9174, 23187, 100815, 54926, 16144, 38641, 1811, 103242, 104599, 114363, 49988, 16144, 107391, 104612, 109713, 60868, 33710, 47307, 52414, 29295, 30591, 112568, 16144, 48154, 72368, 40862, 20230, 114146, 38144, 5486, 112073, 103826, 16144, 37689, 91774, 105352, 122756, 40862, 61689, 15024, 9174, 80673, 5486, 65917, 110366, 29295, 43240, 47884, 107121, 72342, 102204, 101732, 13177, 13153, 101129, 127123, 35894, 103354, 10646, 115991, 33541, 9174, 107943, 39177, 5486, 102676, 29295, 104364, 56051, 101200, 115717, 108149, 112568, 15682, 104405, 26854, 31431, 106956, 104865, 30512, 78698, 107290, 30369, 116537, 5486, 122502, 47884, 105335, 26269, 52591, 126027, 37689, 91774, 104088, 38144, 106116, 37689, 111654, 30512, 107691, 78183, 106824, 61689, 9174, 102433, 30512, 106691, 54926, 35894, 16144, 114797, 97518, 40526, 103306, 5486, 43240, 9039, 16144, 127123, 101911, 29295, 102404, 100815, 39926, 111654, 102800, 16144, 38641, 9174, 110526, 54926, 107430, 104091, 16144, 25340, 226, 30512, 121507, 39926, 111654, 102800, 16144, 38641, 1811, 20, 8107, 74482, 5486, 605, 8107, 74482, 117119, 8107, 32149, 112990, 117876, 29295, 104662, 17129, 33503, 123207, 108048, 29295, 103350, 102321, 108608, 75910, 106528, 102923, 102332, 20230, 114099, 102669, 39926, 5486, 121602, 119188, 114435, 77181, 124897, 9174, 114731, 102781, 82973, 15682, 5486, 111717, 107809, 20230, 31958, 105184, 26854, 103899, 58942, 29295, 11883, 37689, 116216, 61689, 1811, 48154, 125104, 115962, 126145, 32018, 17792, 30512, 76706, 11883, 54926, 108436, 107430, 108134, 89154, 108337, 33710, 80673, 5486, 114387, 39177, 127105, 108031, 127637, 114652, 78698, 107290, 114732, 108995, 19732, 112844, 114284, 29295, 104195, 115737, 76947, 114732, 123253, 9174, 43514, 26854, 64121, 20230, 19361, 13372, 26854, 103130, 104575, 29295, 43240, 47884, 115515, 16144, 75910, 106528, 33563, 117126, 114305, 16144, 111671, 113468, 70821, 56965, 114435, 111848, 75910, 106528, 60868, 113649, 117718, 104908, 29295, 37087, 115070, 105352, 117475, 16144, 105994, 15682, 67645, 103171, 75910, 106528, 29295, 56051, 16995, 102677, 17792, 32977, 107991, 123253, 1811, 128001, 128000, 14711, 110557, 25197, 76739, 67075, 19732, 118656, 198, 76739, 124643, 104603, 11972, 127284, 16144, 87177, 15682, 120065, 74482, 18904, 15024, 116446, 5486, 124807, 76739, 67075, 30512, 118656, 112535, 78698, 107290, 64121, 30369, 9174, 37271, 103296, 102181, 102334, 104466, 5486, 114516, 16144, 76739, 124643, 104603, 11972, 33420, 106382, 15682, 31640, 118835, 111848, 76739, 124643, 104603, 11972, 21990, 106518, 103732, 103836, 105908, 17620, 30369, 1811, 109860, 5486, 31640, 118835, 16556, 76739, 124643, 104603, 11972, 29295, 33420, 106382, 107001, 71689, 20230, 102456, 53953, 16556, 76739, 124643, 104603, 11972, 30512, 99046, 224, 18655, 112990, 117178, 112624, 108176, 1811, 17663, 26854, 78183, 43514, 5486, 31640, 118835, 29295, 107693, 108176, 9174, 71493, 42634, 102540, 16144, 126574, 102456, 53953, 30512, 19732, 114598, 108048, 113468, 5486, 31640, 118835, 29295, 113096, 103130, 84389, 104984, 124807, 76739, 67075, 108176, 9174, 71493, 42634, 102540, 16144, 103167, 16995, 125764, 53953, 30512, 19732, 114598, 108048, 113468, 5486, 31640, 118835, 29295, 116900, 20230, 126128, 58942, 102204, 104533, 5486, 104004, 15024, 85791, 117178, 112624, 108176, 9174, 102456, 30926, 30512, 19732, 114598, 5486, 33014, 29295, 104840, 17129, 33503, 123207, 5486, 31640, 118835, 29295, 113096, 103130, 109768, 100604, 105879, 5486, 101402, 30369, 118881, 120650, 103836, 32149, 121061, 16144, 103195, 1811, 124807, 76739, 67075, 16144, 103846, 102052, 5486, 33014, 29295, 40053, 20230, 104840, 17129, 76947, 102532, 5486, 31640, 118835, 29295, 113096, 103130, 103792, 105908, 107693, 9174, 110382, 105352, 5486, 118656, 122692, 50211, 120383, 16144, 113727, 29295, 122502, 119188, 1811, 17663, 26854, 78183, 43514, 5486, 99046, 224, 18655, 56051, 76739, 124643, 104603, 11972, 19732, 31640, 118835, 113468, 19967, 109115, 76739, 124643, 104603, 11972, 29295, 66953, 119930, 103792, 105908, 27384, 30926, 126529, 103195, 9174, 56051, 29295, 76947, 5486, 124807, 76739, 67075, 119607, 117408, 102052, 5486, 102334, 101860, 33503, 20230, 71493, 42634, 102540, 30512, 126128, 105262, 16144, 126194, 38144, 5486, 104004, 15024, 85791, 5486, 71493, 42634, 102540, 30512, 19732, 76947, 5486, 31640, 118835, 30512, 113096, 103130, 54926, 118881, 29295, 50928, 105226, 108176, 9174, 33014, 29295, 106142, 107290, 30369, 26854, 106046, 100472, 33503, 108048, 15682, 117178, 112624, 111363, 109657, 22023, 18476, 32149, 121061, 9174, 77181, 5486, 67645, 120950, 119008, 29295, 124807, 76739, 67075, 20230, 126521, 104865, 11571, 85701, 15682, 118656, 16144, 119318, 116310, 48915, 106609, 31640, 118835, 30512, 113096, 103130, 54926, 104468, 125764, 104533, 123529, 119707, 47884, 119008, 29295, 113727, 110071, 1811, 126843, 113727, 110071, 112973, 112609, 115200, 45829, 9174, 71493, 42634, 102540, 126758, 15024, 5486, 8239, 114503, 9554, 32149, 32977, 9174, 39880, 101198, 101335, 108602, 32977, 31640, 118835, 102052, 126521, 19732, 113727, 125398, 105879, 5486, 28713, 25827, 2243, 109, 47884, 105284, 32977, 104712, 100909, 108176, 9174, 122270, 5486, 121496, 57942, 103, 104398, 112506, 16144, 117178, 27384, 33208, 16144, 113385, 19732, 110731, 76171, 107271, 107805, 16144, 17620, 14888, 234, 30512, 126128, 105262, 119008, 32977, 8239, 114503, 9554, 110162, 1981, 7, 104473, 117587, 112603, 120938, 123716, 96455, 29295, 103167, 16995, 119008, 340, 7, 121846, 3222, 5232, 720, 102971, 91077, 15682, 66953, 93488, 117718, 126521, 102456, 30926, 29295, 109215, 76947, 100909, 107188, 9174, 24633, 123003, 118835, 19732, 76739, 124643, 104603, 112164, 119930, 765, 108613, 103830, 122481, 765, 122266, 94, 33121, 122202, 17597, 122, 16556, 107969, 16995, 112258, 233, 114792, 76947, 112987, 124324, 125341, 567, 45631, 58666, 37729, 9458, 47260, 22398, 39850, 10646, 118455, 16144, 77219, 198, 567, 45631, 108396, 10646, 118455, 16144, 77219, 198, 567, 45631, 104654, 10646, 118455, 16144, 77219, 198, 12, 18630, 235, 233, 30512, 30358, 101832, 38144, 104873, 22649, 54926, 104468, 107792, 103664, 108176, 104865, 30, 220, 101182, 16027, 120706, 104088, 38144, 97999, 679, 17, 13, 2589, 13, 717, 8, 128001, 128000, 13177, 110581, 36827, 106681, 15682, 66953, 32131, 39135, 20230, 116326, 53229, 104482, 13177, 791, 8769, 315, 856, 13346, 10646, 7705, 15682, 3753, 22, 116033, 121298, 103646, 127164, 120366, 1811, 68759, 25197, 102663, 33710, 9458, 1569, 103, 9458, 108526, 107840, 102446, 100204, 104533, 107404, 16144, 101129, 63105, 236, 16144, 102667, 30512, 124305, 101275, 56051, 122416, 16144, 105268, 30046, 29295, 110745, 127579, 118331, 25005, 101, 105048, 16556, 81258, 107430, 30512, 39926, 19653, 126130, 30813, 109315, 103296, 30512, 110240, 102334, 60868, 122086, 22398, 9458, 71634, 111672, 11972, 120740, 32131, 52884, 9458, 47260, 39850, 103857, 11972, 9174, 68759, 25197, 102663, 33710, 9458, 41, 9458, 108526, 107840, 102083, 116285, 101365, 120366, 103306, 13372, 126574, 66953, 48552, 9458, 20251, 116416, 9458, 103988, 9458, 52591, 72369, 113335, 68581, 115247, 18, 34048, 19967, 29295, 19361, 13372, 109846, 115408, 29295, 91774, 28713, 18904, 9039, 55031, 126693, 117896, 16144, 13177, 110581, 36827, 106681, 15682, 66953, 32131, 39135, 20230, 117503, 24273, 29295, 127181, 1811, 57207, 96452, 37823, 90962, 22656, 29295, 40265, 39177, 20834, 100481, 38144, 99849, 27479, 32977, 103721, 108, 31431, 104196, 21105, 123, 38144, 64810, 37823, 52591, 30512, 109163, 61304, 15024, 114654, 30512, 53508, 231, 104195, 56051, 1811, 127557, 30512, 68408, 91482, 105404, 9458, 108526, 115332, 29295, 46034, 29295, 76622, 100481, 38144, 106116, 28542, 72661, 106241, 127075, 1811, 120366, 37026, 33014, 15682, 71289, 71289, 102491, 16995, 29295, 5486, 127557, 120332, 15682, 37271, 104655, 102532, 32977, 102491, 26274, 255, 30813, 30512, 112391, 100604, 9174, 112798, 103892, 5486, 122768, 35417, 29295, 39135, 103171, 108695, 20230, 28190, 30177, 120650, 47884, 105272, 29295, 107471, 104680, 64889, 124195, 114732, 1811, 116414, 102416, 23039, 114598, 13177, 106613, 111186, 15682, 91006, 19732, 104655, 32149, 33121, 127359, 25197, 102663, 33710, 9458, 41, 9458, 108526, 107840, 29295, 13177, 106613, 111186, 29295, 43568, 47884, 38144, 81258, 107430, 118765, 103171, 33503, 5486, 119869, 16144, 106613, 111186, 15682, 104405, 125338, 96356, 107294, 105784, 102189, 57980, 76864, 19732, 102769, 106824, 114732, 9174, 103283, 16144, 108695, 16144, 28190, 30177, 77181, 13177, 72342, 42891, 32149, 47884, 102667, 23039, 114598, 115552, 29295, 43568, 16995, 105110, 5486, 104446, 108861, 102667, 15682, 99849, 16144, 113009, 101182, 102189, 57980, 66383, 50520, 108, 62004, 108385, 30369, 122768, 35417, 20230, 5486, 120007, 16144, 126913, 30046, 15682, 13177, 120885, 105465, 67016, 42891, 90620, 85791, 66383, 15120, 115064, 112, 9174, 67645, 112384, 16144, 76739, 70563, 102741, 65575, 55031, 32977, 115132, 114740, 29295, 102667, 102677, 116245, 30512, 37087, 47884, 39880, 57933, 20230, 109768, 100604, 30926, 29295, 114652, 110240, 32149, 115032, 1811, 106613, 111186, 71289, 103350, 116486, 30358, 103984, 16144, 113727, 24273, 55031, 76171, 102514, 113883, 106613, 111186, 29295, 43568, 118145, 81258, 107430, 15682, 111108, 102800, 9174, 121410, 8107, 108695, 122984, 38093, 30512, 71289, 107462, 104533, 114654, 123863, 105284, 99397, 16556, 13177, 114654, 16144, 101772, 23951, 15682, 67645, 119775, 125338, 61689, 32149, 66383, 95604, 105284, 99397, 125334, 30369, 1811, 57933, 29220, 99959, 117733, 15682, 41758, 42634, 112164, 33710, 114435, 30512, 105037, 111, 16995, 5486, 105107, 67178, 32977, 122626, 32977, 125559, 29295, 127181, 105272, 29295, 114654, 16144, 101772, 23951, 114305, 15682, 43568, 16995, 9174, 106718, 125030, 76947, 16906, 111, 102800, 102321, 103350, 30512, 64467, 112419, 126693, 5486, 104575, 15682, 48864, 104369, 110229, 26854, 110115, 103359, 15024, 5486, 108695, 15682, 48864, 102189, 106592, 103350, 124299, 54926, 110229, 1811, 127164, 77181, 77693, 29295, 17599, 117, 104792, 103792, 55031, 13177, 53508, 231, 104195, 107726, 38144, 72315, 10646, 114016, 110783, 110095, 16556, 81258, 76706, 120837, 103722, 25580, 124237, 16995, 108176, 9174, 102433, 15682, 107263, 108416, 114305, 71289, 104257, 24615, 248, 121299, 35417, 104309, 5486, 103268, 17792, 25580, 117255, 84844, 30512, 106222, 20230, 110284, 107726, 38144, 100204, 121710, 31431, 101662, 125655, 102677, 106581, 29295, 39442, 36785, 20230, 108618, 103836, 103846, 5486, 112185, 124305, 101275, 109768, 100604, 106718, 30512, 103271, 101129, 6701, 230, 31431, 54926, 81258, 107430, 114305, 29295, 102831, 104195, 47884, 108618, 103836, 1811, 29295, 115847, 15682, 15120, 105564, 56965, 108010, 58942, 104533, 109688, 117126, 36785, 9174, 108695, 29295, 104908, 39926, 47884, 110615, 19732, 53508, 231, 104195, 118765, 5486, 102677, 120267, 105301, 15682, 17663, 26854, 78183, 43514, 13177, 108695, 29295, 104908, 21105, 103, 16995, 109335, 53508, 231, 104195, 21105, 103, 47884, 100481, 16995, 118587, 115552, 15024, 5486, 53900, 13177, 100927, 107290, 47884, 110615, 55031, 106084, 107515, 118587, 37656, 40265, 33208, 39926, 114732, 9174, 108695, 20230, 125494, 54926, 109335, 100927, 107290, 124089, 100909, 126194, 5486, 115364, 103350, 48634, 71289, 107517, 100472, 106556, 30512, 102404, 127327, 108608, 101513, 38093, 107407, 32149, 104405, 32149, 1811, 78250, 27113, 105564, 92148, 110, 76947, 48864, 108710, 126194, 120117, 115541, 16144, 75267, 5486, 75267, 9039, 30512, 119870, 105823, 38144, 124089, 101513, 38093, 107407, 32149, 104405, 32149, 108995, 9174, 112798, 103892, 126362, 56051, 13177, 110581, 36827, 106681, 15682, 66953, 32131, 39135, 20230, 10646, 16556, 122768, 35417, 15682, 104328, 28713, 17663, 33503, 13177, 109933, 107446, 30512, 120700, 66383, 114435, 16144, 103722, 30512, 5877, 102, 16995, 101732, 124845 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 118145, 30591, 112568, 16144, 108436, 107430, 60868, 121057, 117824, 103836, 103087, 35083, 36785, 9174, 85707, 49988, 30046, 101772, 23951, 16144, 101682, 114341, 29295, 104577, 102781, 122382, 110071, 1811, 127164, 111769, 32149, 110241, 33121, 107515, 9174, 89154, 76428, 103906, 52884, 26854, 108436, 107430, 114667, 30512, 102181, 102532, 64121, 17129, 109954, 1811, 75910, 106528, 108436, 107430, 30512, 126693, 116898, 101860, 33121, 15682, 108436, 107430, 17663, 125231, 77181, 13177, 8107, 110226, 30512, 115079, 71289, 56051, 16995, 10646, 109215, 26854, 101772, 23951, 114475, 76622, 110071, 118482, 32938, 16144, 111017, 40862, 38641, 9174, 17792, 103234, 126362, 108695, 16144, 32018, 114754, 61304, 107121, 84389, 100481, 47884, 102677, 71634, 111672, 11972, 29295, 111575, 16144, 57207, 96452, 37823, 90962, 123253, 9174, 102131, 56051, 16325, 16556, 121821, 16144, 106444, 103087, 35083, 103195, 105908, 125545, 9174, 32018, 17792, 198, 80539, 5486, 17701, 107430, 54926, 80805, 102514, 16073, 38641, 9174, 108895, 56051, 113173, 37689, 109375, 30512, 15682, 121381, 31431, 69978, 100472, 108436, 107430, 15682, 5486, 21105, 96, 107277, 114267, 108134, 29295, 43240, 47884, 107121, 72342, 124195, 61689, 9174, 16995, 78183, 106644, 30369, 13177, 123259, 114172, 102181, 30512, 21980, 248, 17663, 66383, 95604, 121894, 38641, 1811, 118789, 112535, 104736, 62004, 110071, 104466, 109832, 37689, 49792, 101908, 30512, 39926, 103801, 61689, 9174, 108436, 107430, 30512, 78698, 105262, 104983, 102052, 114140, 120837, 108048, 29295, 30591, 112568, 16144, 108436, 107430, 112415, 16144, 111671, 113468, 70821, 56965, 114435, 16144, 106613, 112167, 54926, 102923, 102332, 16144, 32018, 17792, 116229, 38641, 9174, 118789, 9554, 105352, 15024, 5486, 115364, 106556, 30512, 102404, 127327, 108608, 20230, 121953, 100604, 106046, 100472, 33503, 27384, 56965, 121953, 38641, 9174, 51330, 118482, 30046, 103195, 105110, 81219, 116898, 101860, 33121, 15682, 108436, 107430, 30512, 126020, 5486, 102465, 104754, 116945, 109713, 91482, 96452, 84477, 71289, 105107, 109673, 32938, 104309, 29295, 102138, 80195, 9174, 49792, 75267, 105335, 26269, 52591, 16144, 127712, 78983, 30512, 106767, 39926, 64121, 30369, 103854, 112495, 16144, 38641, 1811, 24186, 16144, 75910, 106528, 102923, 102332, 20230, 118935, 11883, 39926, 120700, 126172, 47884, 109020, 123253, 9174, 75910, 106528, 108436, 107430, 30512, 113727, 104533, 107404, 55031, 105335, 84477, 112990, 19732, 111243, 109688, 117126, 38641, 1811, 19012, 110, 107121, 16325, 16144, 52030, 106528, 104599, 32018, 17792, 102416, 109467, 33334, 99397, 16995, 114146, 29295, 88367, 38641, 9174, 111344, 112827, 117989, 111418, 34048, 102052, 5486, 108436, 107430, 61826, 105352, 117475, 16144, 105994, 15682, 67645, 103171, 75910, 106528, 29295, 56051, 16995, 114667, 29295, 43240, 118145, 30591, 112568, 16144, 102494, 78459, 102832, 38248, 115, 78205, 16073, 30512, 45736, 109315, 114667, 103195, 30926, 15682, 115924, 103359, 20230, 109215, 38641, 9174, 23187, 100815, 54926, 16144, 38641, 1811, 103242, 104599, 114363, 49988, 16144, 107391, 104612, 109713, 60868, 33710, 47307, 52414, 29295, 30591, 112568, 16144, 48154, 72368, 40862, 20230, 114146, 38144, 5486, 112073, 103826, 16144, 37689, 91774, 105352, 122756, 40862, 61689, 15024, 9174, 80673, 5486, 65917, 110366, 29295, 43240, 47884, 107121, 72342, 102204, 101732, 13177, 13153, 101129, 127123, 35894, 103354, 10646, 115991, 33541, 9174, 107943, 39177, 5486, 102676, 29295, 104364, 56051, 101200, 115717, 108149, 112568, 15682, 104405, 26854, 31431, 106956, 104865, 30512, 78698, 107290, 30369, 116537, 5486, 122502, 47884, 105335, 26269, 52591, 126027, 37689, 91774, 104088, 38144, 106116, 37689, 111654, 30512, 107691, 78183, 106824, 61689, 9174, 102433, 30512, 106691, 54926, 35894, 16144, 114797, 97518, 40526, 103306, 5486, 43240, 9039, 16144, 127123, 101911, 29295, 102404, 100815, 39926, 111654, 102800, 16144, 38641, 9174, 110526, 54926, 107430, 104091, 16144, 25340, 226, 30512, 121507, 39926, 111654, 102800, 16144, 38641, 1811, 20, 8107, 74482, 5486, 605, 8107, 74482, 117119, 8107, 32149, 112990, 117876, 29295, 104662, 17129, 33503, 123207, 108048, 29295, 103350, 102321, 108608, 75910, 106528, 102923, 102332, 20230, 114099, 102669, 39926, 5486, 121602, 119188, 114435, 77181, 124897, 9174, 114731, 102781, 82973, 15682, 5486, 111717, 107809, 20230, 31958, 105184, 26854, 103899, 58942, 29295, 11883, 37689, 116216, 61689, 1811, 48154, 125104, 115962, 126145, 32018, 17792, 30512, 76706, 11883, 54926, 108436, 107430, 108134, 89154, 108337, 33710, 80673, 5486, 114387, 39177, 127105, 108031, 127637, 114652, 78698, 107290, 114732, 108995, 19732, 112844, 114284, 29295, 104195, 115737, 76947, 114732, 123253, 9174, 43514, 26854, 64121, 20230, 19361, 13372, 26854, 103130, 104575, 29295, 43240, 47884, 115515, 16144, 75910, 106528, 33563, 117126, 114305, 16144, 111671, 113468, 70821, 56965, 114435, 111848, 75910, 106528, 60868, 113649, 117718, 104908, 29295, 37087, 115070, 105352, 117475, 16144, 105994, 15682, 67645, 103171, 75910, 106528, 29295, 56051, 16995, 102677, 17792, 32977, 107991, 123253, 1811, 128001, 128000, 14711, 110557, 25197, 76739, 67075, 19732, 118656, 198, 76739, 124643, 104603, 11972, 127284, 16144, 87177, 15682, 120065, 74482, 18904, 15024, 116446, 5486, 124807, 76739, 67075, 30512, 118656, 112535, 78698, 107290, 64121, 30369, 9174, 37271, 103296, 102181, 102334, 104466, 5486, 114516, 16144, 76739, 124643, 104603, 11972, 33420, 106382, 15682, 31640, 118835, 111848, 76739, 124643, 104603, 11972, 21990, 106518, 103732, 103836, 105908, 17620, 30369, 1811, 109860, 5486, 31640, 118835, 16556, 76739, 124643, 104603, 11972, 29295, 33420, 106382, 107001, 71689, 20230, 102456, 53953, 16556, 76739, 124643, 104603, 11972, 30512, 99046, 224, 18655, 112990, 117178, 112624, 108176, 1811, 17663, 26854, 78183, 43514, 5486, 31640, 118835, 29295, 107693, 108176, 9174, 71493, 42634, 102540, 16144, 126574, 102456, 53953, 30512, 19732, 114598, 108048, 113468, 5486, 31640, 118835, 29295, 113096, 103130, 84389, 104984, 124807, 76739, 67075, 108176, 9174, 71493, 42634, 102540, 16144, 103167, 16995, 125764, 53953, 30512, 19732, 114598, 108048, 113468, 5486, 31640, 118835, 29295, 116900, 20230, 126128, 58942, 102204, 104533, 5486, 104004, 15024, 85791, 117178, 112624, 108176, 9174, 102456, 30926, 30512, 19732, 114598, 5486, 33014, 29295, 104840, 17129, 33503, 123207, 5486, 31640, 118835, 29295, 113096, 103130, 109768, 100604, 105879, 5486, 101402, 30369, 118881, 120650, 103836, 32149, 121061, 16144, 103195, 1811, 124807, 76739, 67075, 16144, 103846, 102052, 5486, 33014, 29295, 40053, 20230, 104840, 17129, 76947, 102532, 5486, 31640, 118835, 29295, 113096, 103130, 103792, 105908, 107693, 9174, 110382, 105352, 5486, 118656, 122692, 50211, 120383, 16144, 113727, 29295, 122502, 119188, 1811, 17663, 26854, 78183, 43514, 5486, 99046, 224, 18655, 56051, 76739, 124643, 104603, 11972, 19732, 31640, 118835, 113468, 19967, 109115, 76739, 124643, 104603, 11972, 29295, 66953, 119930, 103792, 105908, 27384, 30926, 126529, 103195, 9174, 56051, 29295, 76947, 5486, 124807, 76739, 67075, 119607, 117408, 102052, 5486, 102334, 101860, 33503, 20230, 71493, 42634, 102540, 30512, 126128, 105262, 16144, 126194, 38144, 5486, 104004, 15024, 85791, 5486, 71493, 42634, 102540, 30512, 19732, 76947, 5486, 31640, 118835, 30512, 113096, 103130, 54926, 118881, 29295, 50928, 105226, 108176, 9174, 33014, 29295, 106142, 107290, 30369, 26854, 106046, 100472, 33503, 108048, 15682, 117178, 112624, 111363, 109657, 22023, 18476, 32149, 121061, 9174, 77181, 5486, 67645, 120950, 119008, 29295, 124807, 76739, 67075, 20230, 126521, 104865, 11571, 85701, 15682, 118656, 16144, 119318, 116310, 48915, 106609, 31640, 118835, 30512, 113096, 103130, 54926, 104468, 125764, 104533, 123529, 119707, 47884, 119008, 29295, 113727, 110071, 1811, 126843, 113727, 110071, 112973, 112609, 115200, 45829, 9174, 71493, 42634, 102540, 126758, 15024, 5486, 8239, 114503, 9554, 32149, 32977, 9174, 39880, 101198, 101335, 108602, 32977, 31640, 118835, 102052, 126521, 19732, 113727, 125398, 105879, 5486, 28713, 25827, 2243, 109, 47884, 105284, 32977, 104712, 100909, 108176, 9174, 122270, 5486, 121496, 57942, 103, 104398, 112506, 16144, 117178, 27384, 33208, 16144, 113385, 19732, 110731, 76171, 107271, 107805, 16144, 17620, 14888, 234, 30512, 126128, 105262, 119008, 32977, 8239, 114503, 9554, 110162, 1981, 7, 104473, 117587, 112603, 120938, 123716, 96455, 29295, 103167, 16995, 119008, 340, 7, 121846, 3222, 5232, 720, 102971, 91077, 15682, 66953, 93488, 117718, 126521, 102456, 30926, 29295, 109215, 76947, 100909, 107188, 9174, 24633, 123003, 118835, 19732, 76739, 124643, 104603, 112164, 119930, 765, 108613, 103830, 122481, 765, 122266, 94, 33121, 122202, 17597, 122, 16556, 107969, 16995, 112258, 233, 114792, 76947, 112987, 124324, 125341, 567, 45631, 58666, 37729, 9458, 47260, 22398, 39850, 10646, 118455, 16144, 77219, 198, 567, 45631, 108396, 10646, 118455, 16144, 77219, 198, 567, 45631, 104654, 10646, 118455, 16144, 77219, 198, 12, 18630, 235, 233, 30512, 30358, 101832, 38144, 104873, 22649, 54926, 104468, 107792, 103664, 108176, 104865, 30, 220, 101182, 16027, 120706, 104088, 38144, 97999, 679, 17, 13, 2589, 13, 717, 8, 128001, 128000, 13177, 110581, 36827, 106681, 15682, 66953, 32131, 39135, 20230, 116326, 53229, 104482, 13177, 791, 8769, 315, 856, 13346, 10646, 7705, 15682, 3753, 22, 116033, 121298, 103646, 127164, 120366, 1811, 68759, 25197, 102663, 33710, 9458, 1569, 103, 9458, 108526, 107840, 102446, 100204, 104533, 107404, 16144, 101129, 63105, 236, 16144, 102667, 30512, 124305, 101275, 56051, 122416, 16144, 105268, 30046, 29295, 110745, 127579, 118331, 25005, 101, 105048, 16556, 81258, 107430, 30512, 39926, 19653, 126130, 30813, 109315, 103296, 30512, 110240, 102334, 60868, 122086, 22398, 9458, 71634, 111672, 11972, 120740, 32131, 52884, 9458, 47260, 39850, 103857, 11972, 9174, 68759, 25197, 102663, 33710, 9458, 41, 9458, 108526, 107840, 102083, 116285, 101365, 120366, 103306, 13372, 126574, 66953, 48552, 9458, 20251, 116416, 9458, 103988, 9458, 52591, 72369, 113335, 68581, 115247, 18, 34048, 19967, 29295, 19361, 13372, 109846, 115408, 29295, 91774, 28713, 18904, 9039, 55031, 126693, 117896, 16144, 13177, 110581, 36827, 106681, 15682, 66953, 32131, 39135, 20230, 117503, 24273, 29295, 127181, 1811, 57207, 96452, 37823, 90962, 22656, 29295, 40265, 39177, 20834, 100481, 38144, 99849, 27479, 32977, 103721, 108, 31431, 104196, 21105, 123, 38144, 64810, 37823, 52591, 30512, 109163, 61304, 15024, 114654, 30512, 53508, 231, 104195, 56051, 1811, 127557, 30512, 68408, 91482, 105404, 9458, 108526, 115332, 29295, 46034, 29295, 76622, 100481, 38144, 106116, 28542, 72661, 106241, 127075, 1811, 120366, 37026, 33014, 15682, 71289, 71289, 102491, 16995, 29295, 5486, 127557, 120332, 15682, 37271, 104655, 102532, 32977, 102491, 26274, 255, 30813, 30512, 112391, 100604, 9174, 112798, 103892, 5486, 122768, 35417, 29295, 39135, 103171, 108695, 20230, 28190, 30177, 120650, 47884, 105272, 29295, 107471, 104680, 64889, 124195, 114732, 1811, 116414, 102416, 23039, 114598, 13177, 106613, 111186, 15682, 91006, 19732, 104655, 32149, 33121, 127359, 25197, 102663, 33710, 9458, 41, 9458, 108526, 107840, 29295, 13177, 106613, 111186, 29295, 43568, 47884, 38144, 81258, 107430, 118765, 103171, 33503, 5486, 119869, 16144, 106613, 111186, 15682, 104405, 125338, 96356, 107294, 105784, 102189, 57980, 76864, 19732, 102769, 106824, 114732, 9174, 103283, 16144, 108695, 16144, 28190, 30177, 77181, 13177, 72342, 42891, 32149, 47884, 102667, 23039, 114598, 115552, 29295, 43568, 16995, 105110, 5486, 104446, 108861, 102667, 15682, 99849, 16144, 113009, 101182, 102189, 57980, 66383, 50520, 108, 62004, 108385, 30369, 122768, 35417, 20230, 5486, 120007, 16144, 126913, 30046, 15682, 13177, 120885, 105465, 67016, 42891, 90620, 85791, 66383, 15120, 115064, 112, 9174, 67645, 112384, 16144, 76739, 70563, 102741, 65575, 55031, 32977, 115132, 114740, 29295, 102667, 102677, 116245, 30512, 37087, 47884, 39880, 57933, 20230, 109768, 100604, 30926, 29295, 114652, 110240, 32149, 115032, 1811, 106613, 111186, 71289, 103350, 116486, 30358, 103984, 16144, 113727, 24273, 55031, 76171, 102514, 113883, 106613, 111186, 29295, 43568, 118145, 81258, 107430, 15682, 111108, 102800, 9174, 121410, 8107, 108695, 122984, 38093, 30512, 71289, 107462, 104533, 114654, 123863, 105284, 99397, 16556, 13177, 114654, 16144, 101772, 23951, 15682, 67645, 119775, 125338, 61689, 32149, 66383, 95604, 105284, 99397, 125334, 30369, 1811, 57933, 29220, 99959, 117733, 15682, 41758, 42634, 112164, 33710, 114435, 30512, 105037, 111, 16995, 5486, 105107, 67178, 32977, 122626, 32977, 125559, 29295, 127181, 105272, 29295, 114654, 16144, 101772, 23951, 114305, 15682, 43568, 16995, 9174, 106718, 125030, 76947, 16906, 111, 102800, 102321, 103350, 30512, 64467, 112419, 126693, 5486, 104575, 15682, 48864, 104369, 110229, 26854, 110115, 103359, 15024, 5486, 108695, 15682, 48864, 102189, 106592, 103350, 124299, 54926, 110229, 1811, 127164, 77181, 77693, 29295, 17599, 117, 104792, 103792, 55031, 13177, 53508, 231, 104195, 107726, 38144, 72315, 10646, 114016, 110783, 110095, 16556, 81258, 76706, 120837, 103722, 25580, 124237, 16995, 108176, 9174, 102433, 15682, 107263, 108416, 114305, 71289, 104257, 24615, 248, 121299, 35417, 104309, 5486, 103268, 17792, 25580, 117255, 84844, 30512, 106222, 20230, 110284, 107726, 38144, 100204, 121710, 31431, 101662, 125655, 102677, 106581, 29295, 39442, 36785, 20230, 108618, 103836, 103846, 5486, 112185, 124305, 101275, 109768, 100604, 106718, 30512, 103271, 101129, 6701, 230, 31431, 54926, 81258, 107430, 114305, 29295, 102831, 104195, 47884, 108618, 103836, 1811, 29295, 115847, 15682, 15120, 105564, 56965, 108010, 58942, 104533, 109688, 117126, 36785, 9174, 108695, 29295, 104908, 39926, 47884, 110615, 19732, 53508, 231, 104195, 118765, 5486, 102677, 120267, 105301, 15682, 17663, 26854, 78183, 43514, 13177, 108695, 29295, 104908, 21105, 103, 16995, 109335, 53508, 231, 104195, 21105, 103, 47884, 100481, 16995, 118587, 115552, 15024, 5486, 53900, 13177, 100927, 107290, 47884, 110615, 55031, 106084, 107515, 118587, 37656, 40265, 33208, 39926, 114732, 9174, 108695, 20230, 125494, 54926, 109335, 100927, 107290, 124089, 100909, 126194, 5486, 115364, 103350, 48634, 71289, 107517, 100472, 106556, 30512, 102404, 127327, 108608, 101513, 38093, 107407, 32149, 104405, 32149, 1811, 78250, 27113, 105564, 92148, 110, 76947, 48864, 108710, 126194, 120117, 115541, 16144, 75267, 5486, 75267, 9039, 30512, 119870, 105823, 38144, 124089, 101513, 38093, 107407, 32149, 104405, 32149, 108995, 9174, 112798, 103892, 126362, 56051, 13177, 110581, 36827, 106681, 15682, 66953, 32131, 39135, 20230, 10646, 16556, 122768, 35417, 15682, 104328, 28713, 17663, 33503, 13177, 109933, 107446, 30512, 120700, 66383, 114435, 16144, 103722, 30512, 5877, 102, 16995, 101732, 124845 ]
[ 58426, 112690, 16144, 121640, 109933, 107446, 30512, 102944, 116446, 17905, 20230, 17905, 31431, 50520, 108, 62004, 100481, 47884, 9174, 108064, 17129, 72661, 48864, 104127, 16995, 47884, 110783, 110095, 15682, 27384, 102769, 36785, 15024, 108048, 15682, 123726, 100481, 47884, 48249, 31431, 106307, 47884, 100909, 1811, 67016, 21105, 251, 33121, 15682, 102099, 121254, 107674, 110783, 110095, 103195, 125231, 16556, 5486, 43511, 17792, 10110, 104575, 71289, 100927, 104599, 7705, 20230, 105318, 108608, 104468, 106718, 113146, 103296, 113637, 102769, 109913, 29295, 103856, 47884, 118765, 19732, 81258, 76706, 32977, 5486, 80539, 81258, 107430, 74482, 32977, 19653, 21105, 103, 16995, 1811, 128001, 128000, 60358, 8107, 26854, 112649, 19732, 101083, 56965, 16144, 26130, 118146, 118959, 102802, 100934, 111476, 11144, 109531, 108506, 117163, 22398, 118374, 11199, 9174, 50, 2507, 71289, 39850, 125380, 104309, 72661, 5486, 115464, 16556, 111482, 119775, 31540, 103926, 16995, 37729, 110783, 126198, 123737, 30512, 5486, 91774, 28713, 105908, 101182, 17792, 32977, 43240, 117714, 111769, 123253, 32149, 9174, 37271, 18904, 15682, 5486, 112185, 112185, 39442, 53283, 9039, 26854, 109531, 108506, 117163, 22398, 118374, 16144, 95221, 108176, 111943, 103926, 114181, 71289, 119568, 120577, 66378, 17599, 112, 71289, 111943, 103926, 114181, 30512, 5486, 17599, 117, 104792, 112535, 50338, 21403, 244, 109768, 50834, 17129, 109954, 106609, 567, 34676, 109531, 108506, 117163, 22398, 118374, 11199, 107118, 95532, 11144, 109531, 108506, 117163, 22398, 118374, 11199, 107118, 121270, 34171, 109904, 91482, 115478, 107908, 114792, 100472, 123737, 16144, 106592, 16995, 61689, 9174, 43514, 26854, 64121, 20230, 110371, 198, 863, 109531, 108506, 11972, 863, 107118, 5486, 123737, 19732, 111482, 16144, 66297, 117, 111017, 16144, 104364, 30512, 21405, 17663, 112690, 38641, 9174, 27452, 116285, 111482, 127303, 104984, 36896, 122735, 29295, 106084, 26854, 50834, 101668, 59712, 111482, 15682, 122407, 84477, 123259, 47884, 125231, 10646, 71289, 5486, 123737, 127303, 104984, 13177, 71208, 105110, 104195, 115737, 50834, 101668, 59712, 71208, 109860, 103271, 71289, 111199, 10646, 104309, 102083, 100472, 113727, 24273, 15682, 5486, 17129, 30813, 20230, 109531, 108506, 11972, 19732, 78244, 105262, 123253, 9174, 58426, 26854, 32149, 72661, 13177, 109531, 108506, 117163, 22398, 118374, 10646, 15682, 111476, 863, 34171, 103283, 30512, 112391, 107726, 100604, 118374, 863, 102083, 100472, 115552, 30512, 104526, 109013, 34208, 105107, 114654, 115717, 33541, 9174, 567, 34676, 109531, 108506, 117163, 22398, 118374, 11199, 16144, 66378, 17599, 112, 15682, 95532, 109531, 108506, 117163, 22398, 118374, 16144, 66378, 17599, 112, 103306, 15682, 5486, 45631, 34171, 103283, 125030, 33503, 78183, 110615, 105335, 106696, 30512, 53901, 104004, 10646, 101427, 122, 70141, 115991, 110371, 863, 109531, 108506, 117163, 22398, 863, 102677, 112690, 102052, 45631, 34171, 103283, 114556, 108826, 103470, 66383, 95604, 115552, 29295, 104526, 62004, 124195, 61689, 9174, 51330, 100909, 55031, 32977, 5486, 111482, 120950, 104774, 26269, 104272, 126198, 31431, 5486, 108768, 39880, 39880, 122086, 60868, 37823, 38248, 226, 39850, 125596, 104309, 30512, 30512, 108167, 17701, 38144, 5486, 105994, 114420, 58666, 21105, 243, 30512, 113638, 50834, 109415, 101200, 103792, 16144, 38641, 9174, 14711, 21370, 246, 39880, 71493, 109554, 15682, 66378, 17599, 112, 9554, 16556, 105647, 46034, 106609, 109531, 108506, 117163, 22398, 118374, 16144, 66378, 17599, 112, 103306, 111476, 13177, 122615, 25287, 29295, 66378, 17599, 112, 9554, 116787, 105647, 46034, 66383, 16995, 58942, 33541, 9174, 109531, 108506, 117163, 22398, 118374, 15682, 111476, 70563, 116099, 9458, 112193, 11972, 9458, 35330, 122615, 102083, 100472, 107934, 122, 46034, 26854, 108768, 39880, 71493, 109554, 30512, 103792, 112973, 66378, 17599, 112, 9554, 38641, 9174, 109531, 108506, 117163, 22398, 118374, 15682, 5486, 122615, 25287, 71289, 104774, 26269, 104272, 104309, 16556, 13177, 85701, 29295, 120111, 76864, 102677, 48634, 104195, 16995, 22023, 104611, 16556, 106116, 37729, 110783, 16144, 58666, 21105, 243, 30512, 62903, 107610, 127145, 9174, 14711, 108738, 78349, 108506, 117163, 22398, 118374, 16144, 66378, 17599, 112, 104023, 11144, 71493, 32131, 109713, 112479, 109531, 108506, 117163, 22398, 118374, 16144, 17, 59739, 62004, 16144, 66378, 17599, 112, 103306, 111476, 13177, 71493, 32131, 109713, 10646, 15682, 109531, 108506, 117163, 22398, 118374, 16144, 106691, 109904, 66378, 17599, 112, 19732, 78244, 105262, 112973, 5486, 107934, 122, 46034, 26854, 39135, 103868, 16144, 71493, 32131, 109713, 115717, 33541, 106609, 109531, 108506, 117163, 22398, 118374, 16144, 105647, 46034, 62004, 26854, 108768, 39880, 71493, 109554, 20230, 114146, 28713, 111476, 70563, 116099, 71289, 108453, 33710, 11972, 123160, 106555, 32131, 109713, 30512, 126407, 104127, 102532, 5486, 71493, 32131, 109713, 120740, 39850, 125596, 16556, 27384, 112495, 118146, 19967, 31431, 20834, 103792, 112973, 66378, 17599, 112, 9554, 38641, 9174, 14711, 122163, 25287, 29295, 111482, 119775, 104398, 47884, 105189, 28194, 95, 103195, 198, 13177, 111482, 120950, 33014, 25287, 118587, 103792, 123737, 29295, 43240, 117714, 32977, 66378, 17599, 112, 38641, 9174, 33014, 16144, 118372, 29295, 104398, 47884, 5486, 107893, 107, 28194, 95, 16556, 123604, 33014, 25287, 29295, 127181, 54872, 103826, 9174, 109531, 108506, 117163, 22398, 118374, 19732, 127173, 104028, 102717, 19732, 124592, 29295, 5486, 96356, 101544, 9458, 33014, 30358, 30512, 124560, 112990, 5486, 111482, 126036, 104398, 16995, 33014, 25287, 30512, 103792, 101427, 122, 70141, 107407, 105879, 5486, 109531, 108506, 117163, 22398, 118374, 15682, 115364, 104398, 30813, 30512, 45918, 229, 112586, 91763, 103836, 123737, 29295, 102717, 19732, 124592, 126529, 38641, 9174, 14711, 80050, 62903, 16073, 102663, 39880, 105352, 22957, 36785, 78183, 103836, 198, 13177, 22398, 62903, 16073, 102663, 39880, 32977, 104195, 47884, 22957, 36785, 78183, 103836, 66383, 16995, 58942, 33541, 9174, 109531, 108506, 117163, 22398, 118374, 16144, 112366, 16144, 66378, 17599, 112, 102083, 116285, 5486, 101828, 47884, 115464, 16556, 11239, 113, 120950, 100990, 118, 114758, 26854, 120044, 30512, 103792, 100909, 38641, 9174, 109531, 108506, 117163, 22398, 15682, 5486, 120044, 16144, 58666, 21105, 243, 105352, 104195, 16995, 22957, 36785, 116547, 114792, 103836, 105879, 5486, 22398, 62903, 16073, 102663, 39880, 105352, 104195, 16995, 22957, 36785, 116547, 114792, 59739, 123737, 29295, 102717, 19732, 124592, 126529, 38641, 9174, 14711, 109332, 125596, 45893, 77913, 15682, 59614, 116156, 111090, 57933, 91062, 198, 53900, 109531, 108506, 117163, 22398, 118374, 15682, 111476, 13177, 39850, 125596, 45893, 77913, 15682, 59614, 116156, 111090, 57933, 91062, 10646, 38641, 9174, 111482, 119775, 5486, 89154, 113335, 104309, 20230, 39850, 125596, 45893, 77913, 30512, 17701, 106824, 110794, 105564, 119188, 108680, 38641, 9174, 37823, 103830, 71289, 109713, 57207, 108994, 11972, 15682, 32977, 43514, 85791, 25827, 16144, 100909, 5486, 111482, 72661, 53283, 110104, 105933, 58666, 37729, 111090, 57933, 91062, 30512, 110794, 105564, 119188, 109531, 108506, 117163, 22398, 118374, 32977, 61689, 9174, 567, 108738, 78349, 108506, 117163, 22398, 118374, 16144, 111943, 103926, 54872, 103826, 15682, 95532, 85701, 103296, 109531, 108506, 117163, 22398, 118374, 16144, 198, 11144, 66378, 17599, 112, 11199, 109853, 123011, 62004, 79721, 9174, 30813, 38144, 5486, 110382, 126328, 110241, 32977, 198, 11144, 109531, 108506, 117163, 22398, 118374, 20230, 111943, 30512, 39926, 114604, 107803, 11199, 5486, 104405, 126693, 5486, 58666, 37689, 109375, 16144, 126574, 109531, 108506, 117163, 22398, 118374, 20230, 120111, 101983, 114598, 33503, 105262, 104865, 5486, 48154, 126362, 109768, 50834, 17129, 109954, 106609, 14711, 107384, 45829, 123457, 109415, 30369, 121837, 30512, 17486, 254, 110104, 106609, 109531, 108506, 117163, 22398, 118374, 20230, 111943, 15024, 119568, 55031, 120111, 101983, 114598, 33503, 30297, 102052, 5486, 116907, 32977, 58666, 37689, 109375, 30512, 45736, 47884, 69978, 28713, 123207, 5486, 123927, 70141, 102532, 32977, 33503, 119841, 123253, 9174, 11144, 114083, 123457, 109415, 30369, 121837, 30512, 17486, 254, 110104, 11199, 105908, 107693, 38641, 106609, 58666, 106624, 26854, 31431, 106956, 102677, 70141, 17905, 64209, 29295, 123207, 5486, 120007, 16144, 104654, 105335, 106696, 30512, 113954, 56051, 31431, 5486, 55999, 19361, 56051, 31431, 118765, 55031, 38641, 9174, 109531, 108506, 117163, 22398, 123737, 15682, 5486, 91774, 28713, 30832, 55031, 111943, 103926, 109156, 31431, 29295, 43514, 38641, 1811, 26854, 105879, 105994, 118368, 50834, 15682, 17486, 254, 110104, 104466, 103801, 109954, 9174, 14711, 45631, 105994, 118587, 21105, 96, 107277, 69978, 59739, 106609, 109531, 108506, 117163, 22398, 118374, 126365, 28713, 30832, 16556, 82317, 81219, 100604, 107803, 72661, 111476, 11144, 105994, 30512, 21105, 96, 107277, 69978, 59739, 11199, 30926, 29295, 27384, 102769, 38641, 9174, 90962, 105988, 44971, 121142, 103470, 5486, 110999, 103868, 71289, 45163, 37507, 16144, 113871, 104309, 5486, 105994, 30512, 21105, 96, 107277, 69978, 103836, 111482, 20230, 5486, 101523, 227, 123457, 112391, 30369, 55031, 38641, 9174, 89753, 84389, 101860, 112160, 27479, 108895, 19732, 104662, 109013, 33503, 80631, 104, 47884, 5486, 104369, 110615, 113116, 29295, 27384, 102769, 38641, 9174, 567, 34676, 109531, 108506, 117163, 22398, 118374, 11199, 15682, 114387, 17792, 106609, 109531, 108506, 117163, 22398, 118374, 15682, 5486, 71208, 58850, 16144, 101037, 96, 102831, 30512, 72404, 105262, 116898, 17129, 27384, 26130, 118322, 17039, 102800, 117809, 16144, 123737, 38641, 9174, 109531, 108506, 117163, 22398, 118374, 15682, 5486, 31540, 103926, 16995, 47884, 100990, 118, 114758, 26854, 37729, 110783, 119627, 5486, 104195, 16995, 22023, 104611, 114792, 103836, 105879, 5486, 34171, 35083, 28190, 77181, 107188, 31431, 71208, 114420, 107173, 78244, 58942, 33541, 9174, 104774, 26269, 104272, 71289, 39850, 125596, 5486, 58666, 37689, 109375, 29295, 126574, 109531, 108506, 117163, 22398, 118374, 15682, 5486, 111482, 125030, 114598, 111828, 30358, 26854, 48706, 117084, 47884, 104533, 91763, 30297, 105879, 5486, 109531, 108506, 117163, 22398, 118374, 20230, 110456, 106266, 114475, 76622, 106272, 114083, 123457, 109415, 100481, 50834, 17129, 109954, 6447, 128001, 128000, 127960, 30512, 121805, 102416, 19012, 246, 107462, 126145, 104405, 109020, 104865, 95532, 121805, 102052, 42634, 111817, 29295, 111338, 58911, 105693, 90578, 14711, 105416, 79059, 30512, 121805, 102416, 19012, 246, 107462, 126145, 104405, 109020, 104865, 95532, 127960, 30512, 121805, 102416, 70141, 126469, 23039, 100472, 33503, 104405, 26854, 103836, 105879, 109954, 32149, 95532, 68759, 41758, 68759, 11571, 102131, 32149, 110241, 33121, 107515, 9174, 113949, 108044, 108323, 77181, 30590, 104792, 114754, 107991, 32149, 121061, 102677, 87177, 32977, 57903, 33541, 9174, 127960, 35894, 113312, 108323, 103732, 104533, 127960, 16144, 123274, 15682, 35894, 113312, 116787, 111476, 101402, 107873, 122291, 31431, 109098, 27384, 112027, 29295, 107991, 102131, 38641, 9174, 103350, 104983, 5486, 127960, 16144, 121805, 15682, 104405, 26854, 103836, 104865, 104873, 112984, 103646, 105908, 57903, 33541, 9174, 61786, 42634, 114741, 16144, 105665, 30590, 5486, 110993, 117759, 16144, 120843, 78256, 254, 30590, 115351, 20230, 198, 108396, 9554, 103350, 111186, 29295, 23039, 125167, 108618, 101805, 116, 115991, 79721, 9174, 51330, 123222, 15682, 47260, 32131, 72404, 102987, 27479, 19012, 246, 21403, 232, 14276, 255, 19732, 117952, 33121, 111476, 33334, 57980, 27929, 717, 11, 931, 39850, 84477, 33710, 57903, 33541, 9174, 56235, 16144, 102987, 27479, 126036, 102987, 47884, 5486, 102616, 16556, 32335, 32977, 102987, 16995, 123222, 19732, 117952, 106824, 61689, 9174, 51330, 123222, 15682, 4468, 15, 112425, 55031, 118935, 19012, 246, 29295, 27704, 109709, 111476, 1187, 8107, 56965, 19012, 246, 31431, 106307, 76622, 79721, 9174, 13177, 86127, 105459, 29295, 101987, 104004, 27384, 30590, 16144, 17297, 15682, 104405, 26854, 103836, 104865, 91006, 198, 102741, 89046, 16144, 108396, 30046, 29295, 104873, 103854, 101200, 19732, 121256, 9174, 14711, 105416, 104792, 717, 11, 931, 39850, 84477, 33710, 16556, 102404, 91774, 56051, 102944, 106609, 14711, 220, 16, 13, 122333, 16144, 53610, 198, 126843, 15120, 59739, 30832, 29295, 72404, 102987, 27479, 76739, 104612, 20230, 122333, 16144, 53610, 122291, 100909, 38641, 9174, 108396, 30046, 127282, 17129, 30813, 32149, 53610, 29295, 91774, 59739, 32149, 104533, 15682, 91763, 107462, 105823, 104127, 56051, 9174, 121805, 53610, 19732, 121953, 5486, 111405, 102465, 29295, 105150, 100702, 243, 84389, 111476, 102987, 34048, 68171, 37507, 16144, 53610, 29295, 50520, 108, 17129, 107462, 79721, 9174, 53900, 5486, 121602, 102334, 120266, 112027, 112987, 100604, 106046, 123671, 100481, 79721, 29295, 198, 102987, 27479, 21, 13, 22, 62903, 42634, 16144, 110229, 16556, 508, 117913, 8107, 123628, 30590, 114050, 20230, 48706, 107113, 19732, 91774, 110071, 198, 31809, 30813, 26854, 57326, 93488, 110548, 113883, 33208, 102465, 29295, 102404, 91774, 84389, 79721, 9174, 51330, 47260, 32131, 72404, 102987, 27479, 19012, 246, 21403, 232, 14276, 255, 82420, 55723, 15682, 121805, 4364, 410, 39850, 84477, 33710, 30512, 72404, 107800, 124134, 16556, 198, 101067, 66201, 71689, 16144, 45736, 104840, 10110, 30590, 104840, 5245, 27479, 7705, 20230, 114876, 110053, 15024, 111476, 108618, 104611, 106272, 2550, 15, 112425, 20230, 16325, 82533, 116216, 61689, 9174, 53900, 5486, 48864, 30046, 105459, 71289, 19967, 101275, 102351, 30512, 101128, 102, 105823, 30369, 109947, 50338, 26854, 106084, 30926, 32977, 105693, 102131, 38641, 9174, 121805, 102987, 34048, 55031, 116292, 122173, 120950, 103698, 115590, 26854, 79785, 29295, 104655, 22957, 107290, 50834, 79721, 9174, 33035, 25666, 13177, 30590, 103198, 226, 16144, 79785, 66383, 127173, 106824, 61689, 9174, 47774, 30590, 103198, 226, 16144, 79785, 16144, 91875, 55723, 198, 117811, 29411, 45923, 37823, 33710, 30512, 73686, 42891, 105714, 109115, 31431, 111476, 45923, 37823, 33710, 29295, 73686, 42891, 105714, 124195, 33420, 107800, 115789, 31195, 198, 102433, 72661, 17039, 103558, 253, 16556, 103087, 39084, 104873, 112984, 16144, 113009, 19012, 246, 109115, 21, 11, 3101, 39850, 84477, 114615, 123222, 72661, 198, 104792, 28190, 16144, 126287, 15682, 1049, 27479, 25580, 74482, 103296, 17905, 123716, 56051, 102131, 38641, 9174, 14711, 220, 17, 13, 11239, 113, 16144, 36149, 119, 198, 118935, 19012, 246, 20230, 1187, 8107, 56965, 119707, 107674, 47260, 32131, 72404, 102987, 27479, 19012, 246, 21403, 232, 14276, 255, 15682, 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 ]
[ 58426, 112690, 16144, 121640, 109933, 107446, 30512, 102944, 116446, 17905, 20230, 17905, 31431, 50520, 108, 62004, 100481, 47884, 9174, 108064, 17129, 72661, 48864, 104127, 16995, 47884, 110783, 110095, 15682, 27384, 102769, 36785, 15024, 108048, 15682, 123726, 100481, 47884, 48249, 31431, 106307, 47884, 100909, 1811, 67016, 21105, 251, 33121, 15682, 102099, 121254, 107674, 110783, 110095, 103195, 125231, 16556, 5486, 43511, 17792, 10110, 104575, 71289, 100927, 104599, 7705, 20230, 105318, 108608, 104468, 106718, 113146, 103296, 113637, 102769, 109913, 29295, 103856, 47884, 118765, 19732, 81258, 76706, 32977, 5486, 80539, 81258, 107430, 74482, 32977, 19653, 21105, 103, 16995, 1811, 128001, 128000, 60358, 8107, 26854, 112649, 19732, 101083, 56965, 16144, 26130, 118146, 118959, 102802, 100934, 111476, 11144, 109531, 108506, 117163, 22398, 118374, 11199, 9174, 50, 2507, 71289, 39850, 125380, 104309, 72661, 5486, 115464, 16556, 111482, 119775, 31540, 103926, 16995, 37729, 110783, 126198, 123737, 30512, 5486, 91774, 28713, 105908, 101182, 17792, 32977, 43240, 117714, 111769, 123253, 32149, 9174, 37271, 18904, 15682, 5486, 112185, 112185, 39442, 53283, 9039, 26854, 109531, 108506, 117163, 22398, 118374, 16144, 95221, 108176, 111943, 103926, 114181, 71289, 119568, 120577, 66378, 17599, 112, 71289, 111943, 103926, 114181, 30512, 5486, 17599, 117, 104792, 112535, 50338, 21403, 244, 109768, 50834, 17129, 109954, 106609, 567, 34676, 109531, 108506, 117163, 22398, 118374, 11199, 107118, 95532, 11144, 109531, 108506, 117163, 22398, 118374, 11199, 107118, 121270, 34171, 109904, 91482, 115478, 107908, 114792, 100472, 123737, 16144, 106592, 16995, 61689, 9174, 43514, 26854, 64121, 20230, 110371, 198, 863, 109531, 108506, 11972, 863, 107118, 5486, 123737, 19732, 111482, 16144, 66297, 117, 111017, 16144, 104364, 30512, 21405, 17663, 112690, 38641, 9174, 27452, 116285, 111482, 127303, 104984, 36896, 122735, 29295, 106084, 26854, 50834, 101668, 59712, 111482, 15682, 122407, 84477, 123259, 47884, 125231, 10646, 71289, 5486, 123737, 127303, 104984, 13177, 71208, 105110, 104195, 115737, 50834, 101668, 59712, 71208, 109860, 103271, 71289, 111199, 10646, 104309, 102083, 100472, 113727, 24273, 15682, 5486, 17129, 30813, 20230, 109531, 108506, 11972, 19732, 78244, 105262, 123253, 9174, 58426, 26854, 32149, 72661, 13177, 109531, 108506, 117163, 22398, 118374, 10646, 15682, 111476, 863, 34171, 103283, 30512, 112391, 107726, 100604, 118374, 863, 102083, 100472, 115552, 30512, 104526, 109013, 34208, 105107, 114654, 115717, 33541, 9174, 567, 34676, 109531, 108506, 117163, 22398, 118374, 11199, 16144, 66378, 17599, 112, 15682, 95532, 109531, 108506, 117163, 22398, 118374, 16144, 66378, 17599, 112, 103306, 15682, 5486, 45631, 34171, 103283, 125030, 33503, 78183, 110615, 105335, 106696, 30512, 53901, 104004, 10646, 101427, 122, 70141, 115991, 110371, 863, 109531, 108506, 117163, 22398, 863, 102677, 112690, 102052, 45631, 34171, 103283, 114556, 108826, 103470, 66383, 95604, 115552, 29295, 104526, 62004, 124195, 61689, 9174, 51330, 100909, 55031, 32977, 5486, 111482, 120950, 104774, 26269, 104272, 126198, 31431, 5486, 108768, 39880, 39880, 122086, 60868, 37823, 38248, 226, 39850, 125596, 104309, 30512, 30512, 108167, 17701, 38144, 5486, 105994, 114420, 58666, 21105, 243, 30512, 113638, 50834, 109415, 101200, 103792, 16144, 38641, 9174, 14711, 21370, 246, 39880, 71493, 109554, 15682, 66378, 17599, 112, 9554, 16556, 105647, 46034, 106609, 109531, 108506, 117163, 22398, 118374, 16144, 66378, 17599, 112, 103306, 111476, 13177, 122615, 25287, 29295, 66378, 17599, 112, 9554, 116787, 105647, 46034, 66383, 16995, 58942, 33541, 9174, 109531, 108506, 117163, 22398, 118374, 15682, 111476, 70563, 116099, 9458, 112193, 11972, 9458, 35330, 122615, 102083, 100472, 107934, 122, 46034, 26854, 108768, 39880, 71493, 109554, 30512, 103792, 112973, 66378, 17599, 112, 9554, 38641, 9174, 109531, 108506, 117163, 22398, 118374, 15682, 5486, 122615, 25287, 71289, 104774, 26269, 104272, 104309, 16556, 13177, 85701, 29295, 120111, 76864, 102677, 48634, 104195, 16995, 22023, 104611, 16556, 106116, 37729, 110783, 16144, 58666, 21105, 243, 30512, 62903, 107610, 127145, 9174, 14711, 108738, 78349, 108506, 117163, 22398, 118374, 16144, 66378, 17599, 112, 104023, 11144, 71493, 32131, 109713, 112479, 109531, 108506, 117163, 22398, 118374, 16144, 17, 59739, 62004, 16144, 66378, 17599, 112, 103306, 111476, 13177, 71493, 32131, 109713, 10646, 15682, 109531, 108506, 117163, 22398, 118374, 16144, 106691, 109904, 66378, 17599, 112, 19732, 78244, 105262, 112973, 5486, 107934, 122, 46034, 26854, 39135, 103868, 16144, 71493, 32131, 109713, 115717, 33541, 106609, 109531, 108506, 117163, 22398, 118374, 16144, 105647, 46034, 62004, 26854, 108768, 39880, 71493, 109554, 20230, 114146, 28713, 111476, 70563, 116099, 71289, 108453, 33710, 11972, 123160, 106555, 32131, 109713, 30512, 126407, 104127, 102532, 5486, 71493, 32131, 109713, 120740, 39850, 125596, 16556, 27384, 112495, 118146, 19967, 31431, 20834, 103792, 112973, 66378, 17599, 112, 9554, 38641, 9174, 14711, 122163, 25287, 29295, 111482, 119775, 104398, 47884, 105189, 28194, 95, 103195, 198, 13177, 111482, 120950, 33014, 25287, 118587, 103792, 123737, 29295, 43240, 117714, 32977, 66378, 17599, 112, 38641, 9174, 33014, 16144, 118372, 29295, 104398, 47884, 5486, 107893, 107, 28194, 95, 16556, 123604, 33014, 25287, 29295, 127181, 54872, 103826, 9174, 109531, 108506, 117163, 22398, 118374, 19732, 127173, 104028, 102717, 19732, 124592, 29295, 5486, 96356, 101544, 9458, 33014, 30358, 30512, 124560, 112990, 5486, 111482, 126036, 104398, 16995, 33014, 25287, 30512, 103792, 101427, 122, 70141, 107407, 105879, 5486, 109531, 108506, 117163, 22398, 118374, 15682, 115364, 104398, 30813, 30512, 45918, 229, 112586, 91763, 103836, 123737, 29295, 102717, 19732, 124592, 126529, 38641, 9174, 14711, 80050, 62903, 16073, 102663, 39880, 105352, 22957, 36785, 78183, 103836, 198, 13177, 22398, 62903, 16073, 102663, 39880, 32977, 104195, 47884, 22957, 36785, 78183, 103836, 66383, 16995, 58942, 33541, 9174, 109531, 108506, 117163, 22398, 118374, 16144, 112366, 16144, 66378, 17599, 112, 102083, 116285, 5486, 101828, 47884, 115464, 16556, 11239, 113, 120950, 100990, 118, 114758, 26854, 120044, 30512, 103792, 100909, 38641, 9174, 109531, 108506, 117163, 22398, 15682, 5486, 120044, 16144, 58666, 21105, 243, 105352, 104195, 16995, 22957, 36785, 116547, 114792, 103836, 105879, 5486, 22398, 62903, 16073, 102663, 39880, 105352, 104195, 16995, 22957, 36785, 116547, 114792, 59739, 123737, 29295, 102717, 19732, 124592, 126529, 38641, 9174, 14711, 109332, 125596, 45893, 77913, 15682, 59614, 116156, 111090, 57933, 91062, 198, 53900, 109531, 108506, 117163, 22398, 118374, 15682, 111476, 13177, 39850, 125596, 45893, 77913, 15682, 59614, 116156, 111090, 57933, 91062, 10646, 38641, 9174, 111482, 119775, 5486, 89154, 113335, 104309, 20230, 39850, 125596, 45893, 77913, 30512, 17701, 106824, 110794, 105564, 119188, 108680, 38641, 9174, 37823, 103830, 71289, 109713, 57207, 108994, 11972, 15682, 32977, 43514, 85791, 25827, 16144, 100909, 5486, 111482, 72661, 53283, 110104, 105933, 58666, 37729, 111090, 57933, 91062, 30512, 110794, 105564, 119188, 109531, 108506, 117163, 22398, 118374, 32977, 61689, 9174, 567, 108738, 78349, 108506, 117163, 22398, 118374, 16144, 111943, 103926, 54872, 103826, 15682, 95532, 85701, 103296, 109531, 108506, 117163, 22398, 118374, 16144, 198, 11144, 66378, 17599, 112, 11199, 109853, 123011, 62004, 79721, 9174, 30813, 38144, 5486, 110382, 126328, 110241, 32977, 198, 11144, 109531, 108506, 117163, 22398, 118374, 20230, 111943, 30512, 39926, 114604, 107803, 11199, 5486, 104405, 126693, 5486, 58666, 37689, 109375, 16144, 126574, 109531, 108506, 117163, 22398, 118374, 20230, 120111, 101983, 114598, 33503, 105262, 104865, 5486, 48154, 126362, 109768, 50834, 17129, 109954, 106609, 14711, 107384, 45829, 123457, 109415, 30369, 121837, 30512, 17486, 254, 110104, 106609, 109531, 108506, 117163, 22398, 118374, 20230, 111943, 15024, 119568, 55031, 120111, 101983, 114598, 33503, 30297, 102052, 5486, 116907, 32977, 58666, 37689, 109375, 30512, 45736, 47884, 69978, 28713, 123207, 5486, 123927, 70141, 102532, 32977, 33503, 119841, 123253, 9174, 11144, 114083, 123457, 109415, 30369, 121837, 30512, 17486, 254, 110104, 11199, 105908, 107693, 38641, 106609, 58666, 106624, 26854, 31431, 106956, 102677, 70141, 17905, 64209, 29295, 123207, 5486, 120007, 16144, 104654, 105335, 106696, 30512, 113954, 56051, 31431, 5486, 55999, 19361, 56051, 31431, 118765, 55031, 38641, 9174, 109531, 108506, 117163, 22398, 123737, 15682, 5486, 91774, 28713, 30832, 55031, 111943, 103926, 109156, 31431, 29295, 43514, 38641, 1811, 26854, 105879, 105994, 118368, 50834, 15682, 17486, 254, 110104, 104466, 103801, 109954, 9174, 14711, 45631, 105994, 118587, 21105, 96, 107277, 69978, 59739, 106609, 109531, 108506, 117163, 22398, 118374, 126365, 28713, 30832, 16556, 82317, 81219, 100604, 107803, 72661, 111476, 11144, 105994, 30512, 21105, 96, 107277, 69978, 59739, 11199, 30926, 29295, 27384, 102769, 38641, 9174, 90962, 105988, 44971, 121142, 103470, 5486, 110999, 103868, 71289, 45163, 37507, 16144, 113871, 104309, 5486, 105994, 30512, 21105, 96, 107277, 69978, 103836, 111482, 20230, 5486, 101523, 227, 123457, 112391, 30369, 55031, 38641, 9174, 89753, 84389, 101860, 112160, 27479, 108895, 19732, 104662, 109013, 33503, 80631, 104, 47884, 5486, 104369, 110615, 113116, 29295, 27384, 102769, 38641, 9174, 567, 34676, 109531, 108506, 117163, 22398, 118374, 11199, 15682, 114387, 17792, 106609, 109531, 108506, 117163, 22398, 118374, 15682, 5486, 71208, 58850, 16144, 101037, 96, 102831, 30512, 72404, 105262, 116898, 17129, 27384, 26130, 118322, 17039, 102800, 117809, 16144, 123737, 38641, 9174, 109531, 108506, 117163, 22398, 118374, 15682, 5486, 31540, 103926, 16995, 47884, 100990, 118, 114758, 26854, 37729, 110783, 119627, 5486, 104195, 16995, 22023, 104611, 114792, 103836, 105879, 5486, 34171, 35083, 28190, 77181, 107188, 31431, 71208, 114420, 107173, 78244, 58942, 33541, 9174, 104774, 26269, 104272, 71289, 39850, 125596, 5486, 58666, 37689, 109375, 29295, 126574, 109531, 108506, 117163, 22398, 118374, 15682, 5486, 111482, 125030, 114598, 111828, 30358, 26854, 48706, 117084, 47884, 104533, 91763, 30297, 105879, 5486, 109531, 108506, 117163, 22398, 118374, 20230, 110456, 106266, 114475, 76622, 106272, 114083, 123457, 109415, 100481, 50834, 17129, 109954, 6447, 128001, 128000, 127960, 30512, 121805, 102416, 19012, 246, 107462, 126145, 104405, 109020, 104865, 95532, 121805, 102052, 42634, 111817, 29295, 111338, 58911, 105693, 90578, 14711, 105416, 79059, 30512, 121805, 102416, 19012, 246, 107462, 126145, 104405, 109020, 104865, 95532, 127960, 30512, 121805, 102416, 70141, 126469, 23039, 100472, 33503, 104405, 26854, 103836, 105879, 109954, 32149, 95532, 68759, 41758, 68759, 11571, 102131, 32149, 110241, 33121, 107515, 9174, 113949, 108044, 108323, 77181, 30590, 104792, 114754, 107991, 32149, 121061, 102677, 87177, 32977, 57903, 33541, 9174, 127960, 35894, 113312, 108323, 103732, 104533, 127960, 16144, 123274, 15682, 35894, 113312, 116787, 111476, 101402, 107873, 122291, 31431, 109098, 27384, 112027, 29295, 107991, 102131, 38641, 9174, 103350, 104983, 5486, 127960, 16144, 121805, 15682, 104405, 26854, 103836, 104865, 104873, 112984, 103646, 105908, 57903, 33541, 9174, 61786, 42634, 114741, 16144, 105665, 30590, 5486, 110993, 117759, 16144, 120843, 78256, 254, 30590, 115351, 20230, 198, 108396, 9554, 103350, 111186, 29295, 23039, 125167, 108618, 101805, 116, 115991, 79721, 9174, 51330, 123222, 15682, 47260, 32131, 72404, 102987, 27479, 19012, 246, 21403, 232, 14276, 255, 19732, 117952, 33121, 111476, 33334, 57980, 27929, 717, 11, 931, 39850, 84477, 33710, 57903, 33541, 9174, 56235, 16144, 102987, 27479, 126036, 102987, 47884, 5486, 102616, 16556, 32335, 32977, 102987, 16995, 123222, 19732, 117952, 106824, 61689, 9174, 51330, 123222, 15682, 4468, 15, 112425, 55031, 118935, 19012, 246, 29295, 27704, 109709, 111476, 1187, 8107, 56965, 19012, 246, 31431, 106307, 76622, 79721, 9174, 13177, 86127, 105459, 29295, 101987, 104004, 27384, 30590, 16144, 17297, 15682, 104405, 26854, 103836, 104865, 91006, 198, 102741, 89046, 16144, 108396, 30046, 29295, 104873, 103854, 101200, 19732, 121256, 9174, 14711, 105416, 104792, 717, 11, 931, 39850, 84477, 33710, 16556, 102404, 91774, 56051, 102944, 106609, 14711, 220, 16, 13, 122333, 16144, 53610, 198, 126843, 15120, 59739, 30832, 29295, 72404, 102987, 27479, 76739, 104612, 20230, 122333, 16144, 53610, 122291, 100909, 38641, 9174, 108396, 30046, 127282, 17129, 30813, 32149, 53610, 29295, 91774, 59739, 32149, 104533, 15682, 91763, 107462, 105823, 104127, 56051, 9174, 121805, 53610, 19732, 121953, 5486, 111405, 102465, 29295, 105150, 100702, 243, 84389, 111476, 102987, 34048, 68171, 37507, 16144, 53610, 29295, 50520, 108, 17129, 107462, 79721, 9174, 53900, 5486, 121602, 102334, 120266, 112027, 112987, 100604, 106046, 123671, 100481, 79721, 29295, 198, 102987, 27479, 21, 13, 22, 62903, 42634, 16144, 110229, 16556, 508, 117913, 8107, 123628, 30590, 114050, 20230, 48706, 107113, 19732, 91774, 110071, 198, 31809, 30813, 26854, 57326, 93488, 110548, 113883, 33208, 102465, 29295, 102404, 91774, 84389, 79721, 9174, 51330, 47260, 32131, 72404, 102987, 27479, 19012, 246, 21403, 232, 14276, 255, 82420, 55723, 15682, 121805, 4364, 410, 39850, 84477, 33710, 30512, 72404, 107800, 124134, 16556, 198, 101067, 66201, 71689, 16144, 45736, 104840, 10110, 30590, 104840, 5245, 27479, 7705, 20230, 114876, 110053, 15024, 111476, 108618, 104611, 106272, 2550, 15, 112425, 20230, 16325, 82533, 116216, 61689, 9174, 53900, 5486, 48864, 30046, 105459, 71289, 19967, 101275, 102351, 30512, 101128, 102, 105823, 30369, 109947, 50338, 26854, 106084, 30926, 32977, 105693, 102131, 38641, 9174, 121805, 102987, 34048, 55031, 116292, 122173, 120950, 103698, 115590, 26854, 79785, 29295, 104655, 22957, 107290, 50834, 79721, 9174, 33035, 25666, 13177, 30590, 103198, 226, 16144, 79785, 66383, 127173, 106824, 61689, 9174, 47774, 30590, 103198, 226, 16144, 79785, 16144, 91875, 55723, 198, 117811, 29411, 45923, 37823, 33710, 30512, 73686, 42891, 105714, 109115, 31431, 111476, 45923, 37823, 33710, 29295, 73686, 42891, 105714, 124195, 33420, 107800, 115789, 31195, 198, 102433, 72661, 17039, 103558, 253, 16556, 103087, 39084, 104873, 112984, 16144, 113009, 19012, 246, 109115, 21, 11, 3101, 39850, 84477, 114615, 123222, 72661, 198, 104792, 28190, 16144, 126287, 15682, 1049, 27479, 25580, 74482, 103296, 17905, 123716, 56051, 102131, 38641, 9174, 14711, 220, 17, 13, 11239, 113, 16144, 36149, 119, 198, 118935, 19012, 246, 20230, 1187, 8107, 56965, 119707, 107674, 47260, 32131, 72404, 102987, 27479, 19012, 246, 21403, 232, 14276, 255, 15682, 198 ]
[ 127960, 16144, 104356, 34048, 103296, 16144, 45893, 16144, 31431, 29295, 15, 13, 6726, 4, 16556, 67016, 124897, 9174, 127960, 15682, 119448, 47884, 17620, 107441, 18, 118821, 114050, 55031, 103082, 127280, 9174, 21405, 28190, 30512, 30590, 36149, 119, 29295, 117633, 16995, 106116, 17297, 20230, 68759, 52414, 33710, 5486, 104356, 34048, 20230, 72237, 38641, 9174, 11239, 113, 20230, 27452, 105262, 105110, 198, 30590, 36149, 119, 15682, 11239, 113, 16144, 36149, 119, 16556, 68759, 52414, 33710, 15682, 101828, 96356, 5486, 72237, 29295, 105310, 96356, 102083, 100472, 77913, 40862, 38641, 1811, 128001, 128000, 567, 113545, 108969, 44971, 84477, 16556, 37026, 19000, 20230, 68408, 126590, 30512, 198, 103927, 103202, 122481, 126694, 107462, 47884, 30297, 58942, 16556, 5486, 43240, 119064, 114754, 109606, 103984, 54926, 28542, 29295, 5486, 67645, 120950, 68408, 126590, 16144, 102944, 126694, 107462, 47884, 32149, 102677, 100909, 38641, 1811, 105994, 29295, 104405, 16995, 100472, 102944, 126694, 31431, 5486, 34273, 110, 111182, 15024, 20230, 124284, 17792, 20230, 104405, 16995, 100472, 104371, 47523, 114792, 114598, 33503, 102334, 16995, 104865, 121906, 56051, 106592, 78698, 107800, 104983, 20230, 5486, 68408, 126590, 30512, 122074, 54926, 109335, 114318, 111243, 107693, 26854, 107734, 111017, 30512, 106529, 30297, 100909, 115717, 33541, 1811, 126843, 15682, 23530, 114622, 110731, 57933, 108969, 44971, 84477, 104309, 20230, 104405, 16995, 100472, 102944, 107407, 104865, 30512, 114140, 15024, 106116, 16325, 55031, 105994, 20230, 40862, 100472, 102944, 30512, 121507, 109768, 47884, 105908, 5486, 32335, 32977, 105184, 103350, 26854, 41007, 121711, 33541, 9174, 567, 112697, 103202, 122481, 16144, 68408, 126590, 112649, 117295, 121374, 198, 57933, 108969, 44971, 84477, 30512, 38129, 126693, 5486, 115364, 53901, 64121, 20230, 60358, 16995, 103927, 103202, 122481, 30512, 112825, 110904, 20230, 19967, 107462, 47884, 105908, 108608, 101200, 115717, 33541, 119520, 52884, 77750, 104309, 20230, 102332, 22324, 54926, 57933, 108969, 44971, 84477, 102052, 5486, 92693, 16556, 55487, 52927, 110731, 102944, 55031, 9039, 110743, 102677, 108008, 20230, 45736, 109518, 26854, 102944, 103296, 103350, 20230, 43240, 104091, 43240, 103826, 26854, 102944, 29295, 48706, 103792, 102944, 38641, 1811, 102131, 56051, 102944, 16144, 121953, 29295, 116414, 117083, 104865, 5486, 21105, 96, 107277, 19732, 91774, 110993, 109315, 105908, 103082, 38144, 5486, 15682, 100204, 107436, 105755, 126521, 103927, 103202, 122481, 126694, 107462, 47884, 105908, 108608, 101200, 115717, 33541, 1811, 110904, 116254, 26854, 91774, 28713, 118322, 109335, 32977, 43514, 85791, 25827, 5486, 105755, 111800, 52084, 84389, 126172, 47884, 54926, 113009, 5486, 19361, 42506, 16144, 57933, 108969, 44971, 84477, 15682, 107693, 26854, 102944, 115717, 33541, 9174, 567, 18049, 230, 31431, 126521, 68408, 126590, 15682, 111800, 52084, 72661, 19361, 60632, 20230, 198, 57933, 108969, 44971, 84477, 15682, 103927, 103202, 122481, 16144, 68408, 126590, 126694, 107462, 47884, 103846, 102052, 5486, 124490, 32149, 17663, 105908, 118765, 102944, 112028, 59739, 38641, 1811, 105994, 53901, 64121, 16144, 68408, 126590, 15682, 5486, 112599, 124773, 123437, 67075, 17905, 20230, 48706, 103792, 5486, 101182, 16995, 15682, 47043, 103306, 122626, 110731, 57933, 108969, 44971, 84477, 30512, 38129, 54926, 100909, 113468, 5486, 112825, 110904, 20230, 103350, 102321, 109768, 47884, 105908, 108608, 102944, 126529, 38641, 1811, 19361, 42506, 16144, 57933, 108969, 44971, 84477, 16144, 107803, 5486, 111800, 52084, 76739, 123581, 16073, 112212, 32149, 107277, 126172, 47884, 109020, 63879, 103359, 105226, 109853, 16144, 117120, 22649, 29295, 102923, 110731, 102944, 32977, 43240, 47884, 108048, 113468, 5486, 105755, 43240, 119064, 17792, 20230, 34273, 110, 111182, 120837, 33503, 30297, 105908, 108608, 101513, 38093, 29295, 125545, 9174, 108744, 89154, 16073, 57207, 52884, 68408, 126590, 77181, 80805, 102741, 109713, 19732, 124131, 103927, 16556, 52563, 16144, 106548, 24273, 29295, 108901, 26854, 31431, 5486, 80805, 102741, 109713, 105110, 80805, 102741, 109713, 20230, 40862, 100472, 55723, 28190, 16556, 124131, 103927, 105110, 124131, 103927, 20230, 40862, 100472, 55723, 28190, 16556, 52563, 107001, 101200, 117084, 61689, 1811, 128001, 128000, 51330, 77219, 15682, 114001, 21403, 232, 30046, 30591, 109669, 64121, 29295, 126913, 102334, 121256, 9174, 103232, 61786, 19361, 105351, 98369, 5486, 116043, 116882, 33334, 59739, 32149, 33121, 30813, 103296, 56051, 106609, 114001, 21403, 232, 30512, 109657, 19113, 16556, 61304, 107121, 127145, 1811, 109657, 19113, 29295, 43240, 47884, 112391, 30369, 32149, 110241, 33121, 107515, 29295, 5486, 50338, 108323, 104309, 30512, 21601, 58942, 100934, 103846, 38641, 105879, 95221, 101983, 30813, 110104, 16556, 72315, 101832, 9174, 126521, 106046, 100472, 23964, 229, 32938, 15682, 127066, 16556, 61304, 107121, 127145, 1811, 48154, 29172, 81742, 56051, 16995, 23964, 229, 32938, 15682, 109880, 16556, 61304, 107121, 127145, 9174, 37271, 18904, 15682, 198, 118075, 6109, 113245, 77219, 19012, 110, 107121, 103195, 100909, 198, 119560, 63879, 30512, 37689, 109375, 56051, 102803, 103906, 94550, 103195, 100909, 198, 71689, 16144, 114181, 28542, 55031, 114001, 21403, 232, 109768, 50834, 33541, 9174, 11144, 47307, 78983, 33710, 109853, 112479, 127066, 47307, 78983, 114615, 88435, 9039, 15682, 2148, 88435, 16556, 56051, 9174, 47307, 78983, 33710, 15682, 111800, 52084, 56051, 110018, 20230, 66870, 105838, 107001, 100909, 103470, 52563, 107001, 112366, 88435, 9039, 103195, 1591, 93, 843, 88435, 23897, 32943, 29295, 109431, 102769, 26854, 105879, 114318, 111243, 104712, 125651, 66327, 76864, 16144, 61304, 18476, 32977, 103268, 64936, 117084, 61689, 1811, 99849, 77219, 32149, 6109, 77219, 30512, 102181, 32149, 115032, 110792, 100909, 5486, 108729, 119279, 30813, 58942, 102204, 100481, 38144, 17663, 81219, 114420, 38641, 106609, 127066, 62903, 25005, 107, 65575, 32977, 13177, 23187, 8107, 74482, 59712, 117876, 59712, 111482, 59712, 103087, 35083, 66383, 110480, 87217, 121640, 109156, 33121, 101200, 102677, 33334, 120208, 29295, 108044, 116547, 33541, 9174, 109880, 90620, 5486, 103087, 35083, 102677, 112690, 29295, 17, 18904, 124629, 5486, 16, 59739, 15682, 13177, 111482, 66383, 95604, 62903, 25005, 107, 65575, 16144, 25580, 109156, 103836, 112973, 32977, 100472, 16995, 100604, 116499, 78434, 9174, 27452, 7705, 23187, 8107, 74482, 32977, 117876, 56051, 16995, 111482, 102416, 33334, 125683, 62004, 16144, 103087, 35083, 19732, 102647, 102802, 24273, 16144, 120098, 30512, 50338, 108323, 0, 10110, 2148, 13, 20, 88435, 23954, 11144, 37087, 33014, 30512, 33035, 39926, 112479, 127066, 6109, 77219, 103306, 19732, 111243, 98499, 64121, 126172, 47884, 5486, 22398, 112718, 32131, 19732, 98499, 107436, 114732, 83125, 103768, 102802, 15682, 72238, 116366, 114420, 125651, 9174, 127066, 23964, 229, 40089, 102181, 50834, 71289, 103672, 107840, 124905, 76947, 102971, 105242, 30512, 46239, 39926, 50338, 108323, 109768, 47884, 102677, 89753, 33121, 32977, 78183, 107277, 126172, 47884, 38144, 19732, 111243, 103424, 102518, 38641, 9174, 127066, 91774, 20834, 119432, 47307, 78983, 33710, 20230, 62903, 25005, 107, 65575, 29295, 109683, 26854, 83799, 16556, 17701, 104028, 104468, 5486, 111108, 102800, 16144, 119627, 108010, 34208, 99750, 103470, 62903, 25005, 107, 65575, 29295, 17701, 107462, 79721, 9174, 127066, 48249, 109115, 88435, 9039, 107809, 16556, 114318, 111243, 78183, 107277, 126172, 47884, 120098, 126130, 30813, 107800, 77219, 117084, 102532, 5486, 105184, 107188, 22398, 62903, 33710, 30512, 112391, 79721, 9174, 109880, 23187, 8107, 123470, 103087, 35083, 30512, 106767, 103792, 111482, 30512, 103359, 47523, 114267, 77219, 103195, 109335, 31958, 105184, 126529, 119627, 5486, 103359, 47523, 16144, 98499, 112919, 8107, 106036, 95, 29295, 77219, 103378, 16144, 108134, 77181, 78183, 107277, 109669, 110706, 116499, 78434, 9174, 103359, 47523, 16144, 98499, 30046, 66201, 10110, 99695, 33710, 102741, 96452, 119735, 108608, 103378, 118789, 112535, 104662, 62004, 104533, 126521, 19732, 116216, 61689, 9174, 99849, 97049, 55031, 103087, 35083, 115181, 30512, 30832, 64467, 17663, 104865, 29295, 15682, 121381, 31431, 109768, 104533, 125821, 103424, 115737, 104533, 114284, 79721, 9174, 109880, 103087, 35083, 16144, 102647, 102802, 24273, 19732, 33334, 125683, 62004, 16144, 103087, 35083, 110792, 97518, 89046, 34171, 29295, 114715, 116213, 16995, 112391, 114475, 76622, 79721, 1811, 26854, 112371, 23187, 8107, 74482, 107898, 125683, 62004, 26854, 104865, 124563, 112371, 111482, 107898, 125683, 62004, 26854, 104865, 20230, 21105, 120, 76947, 103087, 35083, 126130, 125683, 62004, 112990, 122270, 108323, 50928, 48634, 29295, 17129, 39926, 126521, 77219, 101983, 104533, 91763, 61689, 9174, 77693, 77181, 110382, 55031, 114001, 21403, 232, 109156, 31431, 33541, 101832, 9174, 13177, 23187, 8107, 74482, 32977, 117876, 54926, 113009, 103087, 35083, 30512, 108167, 106956, 1811, 111329, 13177, 72661, 1399, 31640, 29295, 108608, 117876, 71289, 18655, 104028, 103087, 35083, 29295, 17620, 124403, 1811, 111329, 127066, 98499, 112919, 101128, 102, 64121, 30512, 119869, 20230, 46239, 54926, 104468, 114318, 111243, 104712, 125651, 6447, 51330, 77219, 30512, 98499, 108031, 107188, 106046, 61689, 9174, 107943, 105104, 30297, 20230, 101128, 102, 104127, 16995, 107515, 32149, 95532, 103087, 35083, 15682, 104091, 104770, 29295, 43240, 47884, 5486, 122617, 30512, 104873, 103854, 30369, 104468, 27384, 104721, 38641, 123794, 9174, 80673, 5486, 103087, 35083, 16144, 102647, 102802, 24273, 16144, 120098, 126130, 30813, 105262, 118733, 108149, 112568, 20230, 40862, 30297, 103087, 35083, 30512, 58254, 252, 30369, 105908, 125545, 9174, 111482, 107898, 125683, 62004, 16144, 103087, 35083, 32977, 48154, 126362, 54926, 105879, 5486, 112371, 104328, 121846, 116446, 64121, 38144, 72315, 101832, 9174, 127066, 27384, 30926, 26854, 105494, 16144, 104195, 104873, 71289, 98499, 112919, 109834, 103868, 30512, 104328, 47884, 106839, 17701, 17161, 114318, 111243, 104712, 106046, 61689, 106609, 23187, 8107, 123470, 117876, 20230, 107734, 80195, 59739, 0, 103087, 35083, 16144, 102647, 102802, 24273, 198, 126843, 15682, 103087, 35083, 16144, 102647, 102802, 24273, 109853, 50338, 108323, 78434, 9174, 117409, 117083, 1041, 15, 71689, 16144, 103087, 35083, 107809, 55031, 32335, 109431, 26854, 103087, 35083, 30512, 102647, 104369, 103846, 102052, 5486, 33671, 120950, 120098, 29295, 46702, 59739, 57903, 33541, 9174, 12, 106030, 114676, 101083, 31640, 20230, 78683, 106240, 16144, 126574, 103087, 35083, 30512, 102647, 104369, 198, 12, 220, 85701, 103296, 16144, 107391, 104612, 71289, 109431, 34171, 30512, 76706, 32149, 39926, 102647, 104369, 198, 12, 112562, 9554, 30512, 104662, 107436, 55031, 103087, 35083, 30512, 102647, 104369, 198, 12, 110124, 229, 35083, 115181, 112649, 117295, 82973, 71289, 106382, 11883, 16556, 102647, 104369, 198, 71689, 16144, 19, 118821, 120098, 126130, 30813, 58942, 104533, 5486, 102647, 102802, 126172, 115737, 31431, 33541, 57980, 9174, 77693, 77181, 108048, 108422, 33121, 109853, 50338, 108323, 109768, 50834, 33541, 9174, 127066, 120098, 30512, 46702, 59739, 19732, 46239, 103792, 100909, 5486, 103672, 107840, 16556, 104195, 104873, 103792, 100909, 5486, 17620, 107277, 126172, 47884, 38144, 19732, 111243, 104712, 125651, 106609, 127066, 1041, 15, 71689, 16144, 103087, 35083, 19732, 118789, 109904, 83687, 30512, 122765, 100481, 38144, 5486, 104257, 121370, 20230, 37823, 60868, 113335, 103646, 105908, 108044, 116547, 33541, 9174, 109880, 72342, 42891, 32149, 47884, 46702, 59739, 101182, 102083, 123671, 101732, 105879, 5486, 23964, 229, 40089, 102181, 50834, 30512, 122532, 113245, 46239, 20230, 121256, 9174, 1041, 15, 71689, 16144, 103087, 35083, 107407, 116233, 101832, 5486, 121602, 50834, 79721, 106609, 109880, 6109, 77219, 77181, 13177, 198, 15120, 17161, 15120, 104577, 10646, 29295, 126521, 19732, 116216, 61689, 1811, 22398, 110305, 64178, 16556, 98499, 17129, 104028, 105908, 127181, 105879, 5486, 112825, 162, 66391, 26854, 83125, 29295, 98499, 123606, 126172, 16995, 38641, 9174, 110924, 16556, 5486, 48154, 29172, 81742, 126529, 119627, 36896, 117409, 117083, 1041, 15, 71689, 16144, 21909, 10646, 16144, 105494, 119627, 5486, 17, 17161, 116446, 112987, 32149, 29295, 123253, 32149, 95532, 110382, 16556, 13177, 1041, 15, 71689, 16144, 103087, 35083, 107407, 66383, 95604, 108134, 19732, 13177, 120098, 29295, 46702, 59739, 101182, 66383, 95604, 108134, 29295, 30358, 26854, 103836, 112973, 32977, 100472, 16995, 100604, 116499, 78434, 1811, 41920, 59739, 107173, 107188, 31431, 76171, 80805, 110548, 16144, 104195, 16995, 108134, 26854, 105879, 5486, 103283, 107674, 24273, 29295, 120098, 46702, 118821, 76171, 80805, 110548, 29295, 115079, 17663, 116499, 78434, 9174, 27452, 7705, 103087, 35083, 30512, 102647, 104369, 102083, 114598, 117409, 102052, 1041, 15, 71689, 16144, 103087, 35083, 107407, 105879, 5486, 109440, 61689, 123794, 9174, 72661, 5486, 33671, 16144, 46702, 118821, 120098, 126130, 30813, 58942, 104533, 102647, 102802, 126172, 115737, 31431, 33541, 57980, 9174, 57207, 114676, 101083, 31640, 20230, 78683, 106240, 16144, 126574, 103087, 35083, 30512, 102647, 104369, 198, 109880, 91774, 121216, 119627, 5486, 57207, 114676, 101083, 31640, 20230, 78683, 106240, 16144, 101182, 103087, 35083, 104856, 104533, 5486, 27452, 116285, 115145, 109933, 61398, 29220, 64178, 120950, 103087, 35083, 32977, 78683, 106240, 115991, 5486, 114715, 103359, 47523, 29295, 108285, 47884, 38144, 98499, 30046, 20230, 30813, 30813, 112586, 47884, 118544, 110241, 33121, 107515, 9174, 51330, 77219, 77181, 102321, 107734, 119775, 122502, 47884, 117876, 30512, 126362, 103792, 105879, 36896, 57207, 114676, 101083, 31640, 20230, 78683, 106240, 16144, 101182, 107430, 75267, 16556, 76706, 32149, 122101, 103087, 35083, 66383, 95604, 105933, 91774, 20834, 21105, 234, 104712, 32149, 106046, 61689, 9174, 105268, 30046, 102052, 100604, 119515, 107188, 17792, 21990, 106613, 111186, 107407, 57207, 114676, 101083, 31640, 119627, 5486, 76706, 109526, 235, 108608, 117876, 15682, 48249, 124195, 61689, 9174, 72342, 42891, 32149, 47884, 103087, 35083, 30512, 115181, 120837, 5486, 105268, 30046, 29295, 76706, 109526, 235, 54926, 107430, 75267, 16556, 76706, 32149, 17663, 104468, 111108, 102800, 123253, 9174, 38641, 105879, 5486, 57207, 114676, 101083, 31640, 20230, 78683, 106240, 16144, 126574, 103087, 35083, 102647, 102802, 29295, 27384, 102769, 38641, 9174, 111482, 107898, 125683, 62004, 16144, 103087, 35083, 15682, 198, 5940, 74482, 108680, 5940, 16144, 43514, 108680, 48154, 126362, 78434, 9174, 127066, 19732, 111243, 78183, 107277, 126172, 47884, 38144, 83125, 16144, 66953, 37823, 76739, 38248, 115, 78205, 16073, 32977, 30591, 76947, 104712, 125651, 6447, 98499, 104127 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 127960, 16144, 104356, 34048, 103296, 16144, 45893, 16144, 31431, 29295, 15, 13, 6726, 4, 16556, 67016, 124897, 9174, 127960, 15682, 119448, 47884, 17620, 107441, 18, 118821, 114050, 55031, 103082, 127280, 9174, 21405, 28190, 30512, 30590, 36149, 119, 29295, 117633, 16995, 106116, 17297, 20230, 68759, 52414, 33710, 5486, 104356, 34048, 20230, 72237, 38641, 9174, 11239, 113, 20230, 27452, 105262, 105110, 198, 30590, 36149, 119, 15682, 11239, 113, 16144, 36149, 119, 16556, 68759, 52414, 33710, 15682, 101828, 96356, 5486, 72237, 29295, 105310, 96356, 102083, 100472, 77913, 40862, 38641, 1811, 128001, 128000, 567, 113545, 108969, 44971, 84477, 16556, 37026, 19000, 20230, 68408, 126590, 30512, 198, 103927, 103202, 122481, 126694, 107462, 47884, 30297, 58942, 16556, 5486, 43240, 119064, 114754, 109606, 103984, 54926, 28542, 29295, 5486, 67645, 120950, 68408, 126590, 16144, 102944, 126694, 107462, 47884, 32149, 102677, 100909, 38641, 1811, 105994, 29295, 104405, 16995, 100472, 102944, 126694, 31431, 5486, 34273, 110, 111182, 15024, 20230, 124284, 17792, 20230, 104405, 16995, 100472, 104371, 47523, 114792, 114598, 33503, 102334, 16995, 104865, 121906, 56051, 106592, 78698, 107800, 104983, 20230, 5486, 68408, 126590, 30512, 122074, 54926, 109335, 114318, 111243, 107693, 26854, 107734, 111017, 30512, 106529, 30297, 100909, 115717, 33541, 1811, 126843, 15682, 23530, 114622, 110731, 57933, 108969, 44971, 84477, 104309, 20230, 104405, 16995, 100472, 102944, 107407, 104865, 30512, 114140, 15024, 106116, 16325, 55031, 105994, 20230, 40862, 100472, 102944, 30512, 121507, 109768, 47884, 105908, 5486, 32335, 32977, 105184, 103350, 26854, 41007, 121711, 33541, 9174, 567, 112697, 103202, 122481, 16144, 68408, 126590, 112649, 117295, 121374, 198, 57933, 108969, 44971, 84477, 30512, 38129, 126693, 5486, 115364, 53901, 64121, 20230, 60358, 16995, 103927, 103202, 122481, 30512, 112825, 110904, 20230, 19967, 107462, 47884, 105908, 108608, 101200, 115717, 33541, 119520, 52884, 77750, 104309, 20230, 102332, 22324, 54926, 57933, 108969, 44971, 84477, 102052, 5486, 92693, 16556, 55487, 52927, 110731, 102944, 55031, 9039, 110743, 102677, 108008, 20230, 45736, 109518, 26854, 102944, 103296, 103350, 20230, 43240, 104091, 43240, 103826, 26854, 102944, 29295, 48706, 103792, 102944, 38641, 1811, 102131, 56051, 102944, 16144, 121953, 29295, 116414, 117083, 104865, 5486, 21105, 96, 107277, 19732, 91774, 110993, 109315, 105908, 103082, 38144, 5486, 15682, 100204, 107436, 105755, 126521, 103927, 103202, 122481, 126694, 107462, 47884, 105908, 108608, 101200, 115717, 33541, 1811, 110904, 116254, 26854, 91774, 28713, 118322, 109335, 32977, 43514, 85791, 25827, 5486, 105755, 111800, 52084, 84389, 126172, 47884, 54926, 113009, 5486, 19361, 42506, 16144, 57933, 108969, 44971, 84477, 15682, 107693, 26854, 102944, 115717, 33541, 9174, 567, 18049, 230, 31431, 126521, 68408, 126590, 15682, 111800, 52084, 72661, 19361, 60632, 20230, 198, 57933, 108969, 44971, 84477, 15682, 103927, 103202, 122481, 16144, 68408, 126590, 126694, 107462, 47884, 103846, 102052, 5486, 124490, 32149, 17663, 105908, 118765, 102944, 112028, 59739, 38641, 1811, 105994, 53901, 64121, 16144, 68408, 126590, 15682, 5486, 112599, 124773, 123437, 67075, 17905, 20230, 48706, 103792, 5486, 101182, 16995, 15682, 47043, 103306, 122626, 110731, 57933, 108969, 44971, 84477, 30512, 38129, 54926, 100909, 113468, 5486, 112825, 110904, 20230, 103350, 102321, 109768, 47884, 105908, 108608, 102944, 126529, 38641, 1811, 19361, 42506, 16144, 57933, 108969, 44971, 84477, 16144, 107803, 5486, 111800, 52084, 76739, 123581, 16073, 112212, 32149, 107277, 126172, 47884, 109020, 63879, 103359, 105226, 109853, 16144, 117120, 22649, 29295, 102923, 110731, 102944, 32977, 43240, 47884, 108048, 113468, 5486, 105755, 43240, 119064, 17792, 20230, 34273, 110, 111182, 120837, 33503, 30297, 105908, 108608, 101513, 38093, 29295, 125545, 9174, 108744, 89154, 16073, 57207, 52884, 68408, 126590, 77181, 80805, 102741, 109713, 19732, 124131, 103927, 16556, 52563, 16144, 106548, 24273, 29295, 108901, 26854, 31431, 5486, 80805, 102741, 109713, 105110, 80805, 102741, 109713, 20230, 40862, 100472, 55723, 28190, 16556, 124131, 103927, 105110, 124131, 103927, 20230, 40862, 100472, 55723, 28190, 16556, 52563, 107001, 101200, 117084, 61689, 1811, 128001, 128000, 51330, 77219, 15682, 114001, 21403, 232, 30046, 30591, 109669, 64121, 29295, 126913, 102334, 121256, 9174, 103232, 61786, 19361, 105351, 98369, 5486, 116043, 116882, 33334, 59739, 32149, 33121, 30813, 103296, 56051, 106609, 114001, 21403, 232, 30512, 109657, 19113, 16556, 61304, 107121, 127145, 1811, 109657, 19113, 29295, 43240, 47884, 112391, 30369, 32149, 110241, 33121, 107515, 29295, 5486, 50338, 108323, 104309, 30512, 21601, 58942, 100934, 103846, 38641, 105879, 95221, 101983, 30813, 110104, 16556, 72315, 101832, 9174, 126521, 106046, 100472, 23964, 229, 32938, 15682, 127066, 16556, 61304, 107121, 127145, 1811, 48154, 29172, 81742, 56051, 16995, 23964, 229, 32938, 15682, 109880, 16556, 61304, 107121, 127145, 9174, 37271, 18904, 15682, 198, 118075, 6109, 113245, 77219, 19012, 110, 107121, 103195, 100909, 198, 119560, 63879, 30512, 37689, 109375, 56051, 102803, 103906, 94550, 103195, 100909, 198, 71689, 16144, 114181, 28542, 55031, 114001, 21403, 232, 109768, 50834, 33541, 9174, 11144, 47307, 78983, 33710, 109853, 112479, 127066, 47307, 78983, 114615, 88435, 9039, 15682, 2148, 88435, 16556, 56051, 9174, 47307, 78983, 33710, 15682, 111800, 52084, 56051, 110018, 20230, 66870, 105838, 107001, 100909, 103470, 52563, 107001, 112366, 88435, 9039, 103195, 1591, 93, 843, 88435, 23897, 32943, 29295, 109431, 102769, 26854, 105879, 114318, 111243, 104712, 125651, 66327, 76864, 16144, 61304, 18476, 32977, 103268, 64936, 117084, 61689, 1811, 99849, 77219, 32149, 6109, 77219, 30512, 102181, 32149, 115032, 110792, 100909, 5486, 108729, 119279, 30813, 58942, 102204, 100481, 38144, 17663, 81219, 114420, 38641, 106609, 127066, 62903, 25005, 107, 65575, 32977, 13177, 23187, 8107, 74482, 59712, 117876, 59712, 111482, 59712, 103087, 35083, 66383, 110480, 87217, 121640, 109156, 33121, 101200, 102677, 33334, 120208, 29295, 108044, 116547, 33541, 9174, 109880, 90620, 5486, 103087, 35083, 102677, 112690, 29295, 17, 18904, 124629, 5486, 16, 59739, 15682, 13177, 111482, 66383, 95604, 62903, 25005, 107, 65575, 16144, 25580, 109156, 103836, 112973, 32977, 100472, 16995, 100604, 116499, 78434, 9174, 27452, 7705, 23187, 8107, 74482, 32977, 117876, 56051, 16995, 111482, 102416, 33334, 125683, 62004, 16144, 103087, 35083, 19732, 102647, 102802, 24273, 16144, 120098, 30512, 50338, 108323, 0, 10110, 2148, 13, 20, 88435, 23954, 11144, 37087, 33014, 30512, 33035, 39926, 112479, 127066, 6109, 77219, 103306, 19732, 111243, 98499, 64121, 126172, 47884, 5486, 22398, 112718, 32131, 19732, 98499, 107436, 114732, 83125, 103768, 102802, 15682, 72238, 116366, 114420, 125651, 9174, 127066, 23964, 229, 40089, 102181, 50834, 71289, 103672, 107840, 124905, 76947, 102971, 105242, 30512, 46239, 39926, 50338, 108323, 109768, 47884, 102677, 89753, 33121, 32977, 78183, 107277, 126172, 47884, 38144, 19732, 111243, 103424, 102518, 38641, 9174, 127066, 91774, 20834, 119432, 47307, 78983, 33710, 20230, 62903, 25005, 107, 65575, 29295, 109683, 26854, 83799, 16556, 17701, 104028, 104468, 5486, 111108, 102800, 16144, 119627, 108010, 34208, 99750, 103470, 62903, 25005, 107, 65575, 29295, 17701, 107462, 79721, 9174, 127066, 48249, 109115, 88435, 9039, 107809, 16556, 114318, 111243, 78183, 107277, 126172, 47884, 120098, 126130, 30813, 107800, 77219, 117084, 102532, 5486, 105184, 107188, 22398, 62903, 33710, 30512, 112391, 79721, 9174, 109880, 23187, 8107, 123470, 103087, 35083, 30512, 106767, 103792, 111482, 30512, 103359, 47523, 114267, 77219, 103195, 109335, 31958, 105184, 126529, 119627, 5486, 103359, 47523, 16144, 98499, 112919, 8107, 106036, 95, 29295, 77219, 103378, 16144, 108134, 77181, 78183, 107277, 109669, 110706, 116499, 78434, 9174, 103359, 47523, 16144, 98499, 30046, 66201, 10110, 99695, 33710, 102741, 96452, 119735, 108608, 103378, 118789, 112535, 104662, 62004, 104533, 126521, 19732, 116216, 61689, 9174, 99849, 97049, 55031, 103087, 35083, 115181, 30512, 30832, 64467, 17663, 104865, 29295, 15682, 121381, 31431, 109768, 104533, 125821, 103424, 115737, 104533, 114284, 79721, 9174, 109880, 103087, 35083, 16144, 102647, 102802, 24273, 19732, 33334, 125683, 62004, 16144, 103087, 35083, 110792, 97518, 89046, 34171, 29295, 114715, 116213, 16995, 112391, 114475, 76622, 79721, 1811, 26854, 112371, 23187, 8107, 74482, 107898, 125683, 62004, 26854, 104865, 124563, 112371, 111482, 107898, 125683, 62004, 26854, 104865, 20230, 21105, 120, 76947, 103087, 35083, 126130, 125683, 62004, 112990, 122270, 108323, 50928, 48634, 29295, 17129, 39926, 126521, 77219, 101983, 104533, 91763, 61689, 9174, 77693, 77181, 110382, 55031, 114001, 21403, 232, 109156, 31431, 33541, 101832, 9174, 13177, 23187, 8107, 74482, 32977, 117876, 54926, 113009, 103087, 35083, 30512, 108167, 106956, 1811, 111329, 13177, 72661, 1399, 31640, 29295, 108608, 117876, 71289, 18655, 104028, 103087, 35083, 29295, 17620, 124403, 1811, 111329, 127066, 98499, 112919, 101128, 102, 64121, 30512, 119869, 20230, 46239, 54926, 104468, 114318, 111243, 104712, 125651, 6447, 51330, 77219, 30512, 98499, 108031, 107188, 106046, 61689, 9174, 107943, 105104, 30297, 20230, 101128, 102, 104127, 16995, 107515, 32149, 95532, 103087, 35083, 15682, 104091, 104770, 29295, 43240, 47884, 5486, 122617, 30512, 104873, 103854, 30369, 104468, 27384, 104721, 38641, 123794, 9174, 80673, 5486, 103087, 35083, 16144, 102647, 102802, 24273, 16144, 120098, 126130, 30813, 105262, 118733, 108149, 112568, 20230, 40862, 30297, 103087, 35083, 30512, 58254, 252, 30369, 105908, 125545, 9174, 111482, 107898, 125683, 62004, 16144, 103087, 35083, 32977, 48154, 126362, 54926, 105879, 5486, 112371, 104328, 121846, 116446, 64121, 38144, 72315, 101832, 9174, 127066, 27384, 30926, 26854, 105494, 16144, 104195, 104873, 71289, 98499, 112919, 109834, 103868, 30512, 104328, 47884, 106839, 17701, 17161, 114318, 111243, 104712, 106046, 61689, 106609, 23187, 8107, 123470, 117876, 20230, 107734, 80195, 59739, 0, 103087, 35083, 16144, 102647, 102802, 24273, 198, 126843, 15682, 103087, 35083, 16144, 102647, 102802, 24273, 109853, 50338, 108323, 78434, 9174, 117409, 117083, 1041, 15, 71689, 16144, 103087, 35083, 107809, 55031, 32335, 109431, 26854, 103087, 35083, 30512, 102647, 104369, 103846, 102052, 5486, 33671, 120950, 120098, 29295, 46702, 59739, 57903, 33541, 9174, 12, 106030, 114676, 101083, 31640, 20230, 78683, 106240, 16144, 126574, 103087, 35083, 30512, 102647, 104369, 198, 12, 220, 85701, 103296, 16144, 107391, 104612, 71289, 109431, 34171, 30512, 76706, 32149, 39926, 102647, 104369, 198, 12, 112562, 9554, 30512, 104662, 107436, 55031, 103087, 35083, 30512, 102647, 104369, 198, 12, 110124, 229, 35083, 115181, 112649, 117295, 82973, 71289, 106382, 11883, 16556, 102647, 104369, 198, 71689, 16144, 19, 118821, 120098, 126130, 30813, 58942, 104533, 5486, 102647, 102802, 126172, 115737, 31431, 33541, 57980, 9174, 77693, 77181, 108048, 108422, 33121, 109853, 50338, 108323, 109768, 50834, 33541, 9174, 127066, 120098, 30512, 46702, 59739, 19732, 46239, 103792, 100909, 5486, 103672, 107840, 16556, 104195, 104873, 103792, 100909, 5486, 17620, 107277, 126172, 47884, 38144, 19732, 111243, 104712, 125651, 106609, 127066, 1041, 15, 71689, 16144, 103087, 35083, 19732, 118789, 109904, 83687, 30512, 122765, 100481, 38144, 5486, 104257, 121370, 20230, 37823, 60868, 113335, 103646, 105908, 108044, 116547, 33541, 9174, 109880, 72342, 42891, 32149, 47884, 46702, 59739, 101182, 102083, 123671, 101732, 105879, 5486, 23964, 229, 40089, 102181, 50834, 30512, 122532, 113245, 46239, 20230, 121256, 9174, 1041, 15, 71689, 16144, 103087, 35083, 107407, 116233, 101832, 5486, 121602, 50834, 79721, 106609, 109880, 6109, 77219, 77181, 13177, 198, 15120, 17161, 15120, 104577, 10646, 29295, 126521, 19732, 116216, 61689, 1811, 22398, 110305, 64178, 16556, 98499, 17129, 104028, 105908, 127181, 105879, 5486, 112825, 162, 66391, 26854, 83125, 29295, 98499, 123606, 126172, 16995, 38641, 9174, 110924, 16556, 5486, 48154, 29172, 81742, 126529, 119627, 36896, 117409, 117083, 1041, 15, 71689, 16144, 21909, 10646, 16144, 105494, 119627, 5486, 17, 17161, 116446, 112987, 32149, 29295, 123253, 32149, 95532, 110382, 16556, 13177, 1041, 15, 71689, 16144, 103087, 35083, 107407, 66383, 95604, 108134, 19732, 13177, 120098, 29295, 46702, 59739, 101182, 66383, 95604, 108134, 29295, 30358, 26854, 103836, 112973, 32977, 100472, 16995, 100604, 116499, 78434, 1811, 41920, 59739, 107173, 107188, 31431, 76171, 80805, 110548, 16144, 104195, 16995, 108134, 26854, 105879, 5486, 103283, 107674, 24273, 29295, 120098, 46702, 118821, 76171, 80805, 110548, 29295, 115079, 17663, 116499, 78434, 9174, 27452, 7705, 103087, 35083, 30512, 102647, 104369, 102083, 114598, 117409, 102052, 1041, 15, 71689, 16144, 103087, 35083, 107407, 105879, 5486, 109440, 61689, 123794, 9174, 72661, 5486, 33671, 16144, 46702, 118821, 120098, 126130, 30813, 58942, 104533, 102647, 102802, 126172, 115737, 31431, 33541, 57980, 9174, 57207, 114676, 101083, 31640, 20230, 78683, 106240, 16144, 126574, 103087, 35083, 30512, 102647, 104369, 198, 109880, 91774, 121216, 119627, 5486, 57207, 114676, 101083, 31640, 20230, 78683, 106240, 16144, 101182, 103087, 35083, 104856, 104533, 5486, 27452, 116285, 115145, 109933, 61398, 29220, 64178, 120950, 103087, 35083, 32977, 78683, 106240, 115991, 5486, 114715, 103359, 47523, 29295, 108285, 47884, 38144, 98499, 30046, 20230, 30813, 30813, 112586, 47884, 118544, 110241, 33121, 107515, 9174, 51330, 77219, 77181, 102321, 107734, 119775, 122502, 47884, 117876, 30512, 126362, 103792, 105879, 36896, 57207, 114676, 101083, 31640, 20230, 78683, 106240, 16144, 101182, 107430, 75267, 16556, 76706, 32149, 122101, 103087, 35083, 66383, 95604, 105933, 91774, 20834, 21105, 234, 104712, 32149, 106046, 61689, 9174, 105268, 30046, 102052, 100604, 119515, 107188, 17792, 21990, 106613, 111186, 107407, 57207, 114676, 101083, 31640, 119627, 5486, 76706, 109526, 235, 108608, 117876, 15682, 48249, 124195, 61689, 9174, 72342, 42891, 32149, 47884, 103087, 35083, 30512, 115181, 120837, 5486, 105268, 30046, 29295, 76706, 109526, 235, 54926, 107430, 75267, 16556, 76706, 32149, 17663, 104468, 111108, 102800, 123253, 9174, 38641, 105879, 5486, 57207, 114676, 101083, 31640, 20230, 78683, 106240, 16144, 126574, 103087, 35083, 102647, 102802, 29295, 27384, 102769, 38641, 9174, 111482, 107898, 125683, 62004, 16144, 103087, 35083, 15682, 198, 5940, 74482, 108680, 5940, 16144, 43514, 108680, 48154, 126362, 78434, 9174, 127066, 19732, 111243, 78183, 107277, 126172, 47884, 38144, 83125, 16144, 66953, 37823, 76739, 38248, 115, 78205, 16073, 32977, 30591, 76947, 104712, 125651, 6447, 98499, 104127 ]
[ 102532, 108446, 50928, 107726, 102204, 33541, 9174, 127066, 27384, 102769, 26854, 120098, 30512, 17663, 121381, 31431, 123011, 62004, 102204, 100481, 100481, 16995, 125651, 106609, 109880, 6109, 77219, 77181, 115953, 19113, 18, 111017, 5486, 104328, 33503, 29295, 26854, 22, 111017, 29295, 98499, 64121, 126172, 16995, 102083, 78183, 106824, 61689, 9174, 13177, 74482, 108680, 10646, 15682, 104328, 33503, 29295, 26854, 120332, 29295, 98499, 64121, 126172, 16995, 106046, 61689, 105879, 104328, 33503, 29295, 26854, 20230, 121256, 113637, 104466, 107188, 117657, 106592, 13177, 115953, 19113, 30512, 104328, 124749, 66383, 16995, 61689, 9174, 109880, 13177, 114626, 16144, 111482, 107898, 125683, 62004, 16144, 103087, 35083, 15682, 21909, 10646, 16144, 16, 17161, 15682, 30591, 107290, 102181, 32149, 103470, 111243, 5486, 106046, 61689, 9174, 47307, 78983, 33710, 16556, 111482, 107898, 125683, 62004, 102083, 103836, 105879, 5486, 98499, 30046, 15682, 111482, 38641, 123794, 34910, 12, 61, 280, 51330, 16, 17161, 16556, 5486, 110382, 55031, 61826, 16144, 105494, 15682, 98499, 64121, 107850, 81219, 107001, 32149, 5486, 107803, 113468, 15682, 106627, 110645, 116216, 114732, 33334, 77693, 32977, 57903, 33541, 56024, 24058, 340, 85701, 103296, 16144, 107391, 104612, 71289, 109431, 34171, 30512, 76706, 32149, 39926, 102647, 104369, 198, 85701, 103296, 16144, 117876, 44915, 71289, 5486, 115364, 109431, 34171, 30512, 76706, 32149, 56051, 103087, 35083, 30512, 102647, 104369, 115789, 27384, 102769, 26854, 120098, 38641, 9174, 17663, 16556, 20230, 115181, 103792, 103087, 35083, 120938, 25129, 103087, 35083, 30512, 30832, 64467, 56051, 31431, 5486, 39442, 106613, 111186, 72661, 5486, 115364, 109431, 34171, 30512, 76706, 32149, 122101, 103087, 35083, 30512, 102647, 102189, 31431, 54926, 106592, 33334, 125683, 62004, 78434, 9174, 127066, 101402, 19113, 113245, 104195, 104873, 29295, 19732, 111243, 8239, 114503, 9554, 125651, 127413, 198, 113173, 30512, 104662, 107436, 55031, 103087, 35083, 30512, 102647, 104369, 78877, 85701, 15682, 5940, 113173, 15682, 103087, 35083, 30512, 115181, 54926, 17905, 16556, 19732, 111243, 27384, 102769, 26854, 120098, 38641, 1811, 72958, 124131, 103927, 16556, 98499, 104004, 98499, 30046, 29295, 127181, 105879, 5486, 127105, 30591, 67645, 112690, 15682, 108608, 103378, 111098, 76622, 118789, 109904, 36668, 102158, 30512, 16995, 33121, 17129, 109954, 9174, 103087, 35083, 30512, 115181, 39926, 88356, 81258, 107430, 30512, 30832, 64467, 17663, 104865, 5486, 72718, 101275, 54926, 104865, 9174, 122270, 5486, 67645, 103171, 117876, 126198, 16995, 104865, 5486, 33035, 114731, 29295, 88367, 26854, 119318, 116310, 102052, 67645, 103171, 107430, 75267, 107407, 104865, 104309, 5486, 113173, 30512, 104662, 109315, 118733, 103087, 35083, 15682, 107188, 31431, 198, 5940, 58254, 252, 5940, 21105, 120, 102204, 33541, 1811, 111971, 8107, 123470, 117876, 15682, 5486, 43568, 22649, 103470, 106307, 76622, 110071, 105908, 27384, 102769, 26854, 105879, 5486, 126843, 15682, 113173, 55031, 78698, 107290, 64121, 17129, 109954, 106609, 127066, 99849, 30512, 30832, 112535, 54926, 104865, 120953, 113727, 104984, 104712, 104865, 16144, 46239, 29295, 30591, 76947, 19732, 111243, 104712, 125651, 1811, 98499, 30046, 29295, 113173, 30512, 113727, 104533, 50834, 16144, 45893, 15024, 30369, 103854, 115717, 33541, 40620, 198, 109880, 104195, 104873, 110731, 105494, 119627, 5486, 67645, 112384, 32149, 102677, 19732, 13177, 88356, 81258, 107430, 30512, 30832, 64467, 17663, 104865, 21909, 10646, 88852, 16144, 17161, 120332, 29295, 98499, 30046, 15682, 53283, 31431, 106956, 106046, 61689, 9174, 108134, 30512, 64531, 22649, 39926, 23964, 229, 40089, 102181, 50834, 71289, 103672, 107840, 16556, 104195, 104873, 107001, 102083, 117714, 77181, 106046, 16995, 79721, 9174, 27452, 7705, 9458, 88356, 81258, 107430, 30512, 62004, 75694, 17663, 105110, 5486, 33035, 114731, 29295, 88367, 26854, 119318, 116310, 16556, 67645, 103171, 107430, 75267, 107407, 104865, 198, 9458, 72718, 101275, 56051, 117714, 105110, 5486, 67645, 103171, 78683, 106240, 20230, 106608, 105262, 117876, 29295, 56051, 16995, 104865, 5486, 106613, 111186, 30512, 76706, 32149, 122101, 117876, 15682, 101182, 104865, 198, 51330, 105933, 120098, 55031, 113173, 30512, 113727, 100481, 126145, 5486, 108167, 106956, 103087, 35083, 29295, 107188, 31431, 21105, 120, 102204, 33541, 9174, 103087, 35083, 115181, 112649, 117295, 82973, 71289, 106382, 11883, 16556, 102647, 104369, 78877, 85701, 15682, 5940, 103087, 35083, 113468, 108048, 108422, 33121, 119448, 47884, 108901, 26854, 31431, 33541, 9174, 109880, 127105, 30591, 67645, 112690, 30512, 111098, 76622, 106956, 105879, 5486, 108031, 114715, 50520, 111, 106624, 102181, 50834, 17129, 109954, 9174, 27452, 7705, 23187, 8107, 74482, 5486, 103087, 35083, 115181, 112649, 117295, 82973, 71289, 106382, 11883, 15682, 19732, 111243, 107693, 38641, 9174, 27452, 116285, 5486, 9039, 8107, 32149, 107441, 111108, 97518, 103087, 35083, 20230, 127706, 120837, 5486, 81258, 107430, 54926, 119400, 102052, 33014, 48634, 112535, 122502, 47884, 112973, 111108, 106624, 26854, 103836, 32149, 110241, 33121, 107515, 9174, 32149, 102083, 76947, 5486, 9039, 9080, 56965, 16144, 114341, 108710, 121142, 115181, 108608, 103087, 35083, 15682, 30591, 109709, 115552, 115991, 107515, 9174, 82973, 19732, 33334, 35330, 30512, 19361, 126120, 20230, 33655, 30297, 113009, 5486, 103087, 35083, 115181, 112649, 117295, 82973, 71289, 106382, 11883, 30512, 102178, 111665, 39926, 33334, 50834, 17129, 109954, 9174, 127066, 104405, 39926, 82973, 71289, 106382, 11883, 30512, 102647, 104369, 104865, 16144, 102831, 26955, 254, 29295, 102181, 32149, 33121, 100481, 38144, 108323, 50928, 48634, 115991, 33541, 6447, 19732, 111243, 104712, 125651, 7, 22634, 40620, 198, 23187, 8107, 74482, 32977, 117876, 123410, 111482, 107898, 125683, 62004, 16144, 103087, 35083, 198, 77693, 77181, 5486, 23187, 8107, 74482, 32977, 117876, 126198, 16995, 106046, 103836, 111482, 107898, 125683, 62004, 16144, 103087, 35083, 30512, 48154, 126362, 109768, 50834, 33541, 9174, 59739, 26854, 105557, 16144, 83125, 29295, 17701, 76947, 102532, 5486, 22398, 91062, 106240, 20230, 98499, 64121, 103130, 62004, 102204, 33541, 101832, 106609, 75910, 106528, 107430, 102351, 85707, 49988, 30046, 101772, 23951, 198, 75910, 106528, 123863, 103087, 35083, 112987, 47884, 59739, 32977, 57903, 5486, 103350, 102781, 106613, 111186, 30512, 108882, 64121, 106272, 5486, 17905, 25129, 16144, 103087, 35083, 115181, 30512, 30832, 64467, 122101, 102677, 66378, 17599, 112, 115991, 33541, 9174, 75910, 106528, 116690, 16144, 117876, 20230, 81258, 47884, 102052, 5486, 126843, 15682, 103856, 62004, 20230, 75910, 106528, 107430, 102351, 85707, 49988, 30046, 101772, 23951, 114475, 76622, 17129, 109954, 106609, 5940, 115181, 103801, 109954, 6447, 5940, 198, 75910, 106528, 107430, 102351, 85707, 49988, 30046, 101772, 23951, 15682, 5486, 5894, 82973, 16144, 101772, 23951, 123470, 23951, 35287, 106081, 111186, 20230, 127706, 112990, 23951, 35287, 110322, 29295, 102404, 23039, 84389, 33541, 9174, 101772, 23951, 15682, 5486, 102208, 72368, 45893, 102697, 72099, 48154, 110792, 115592, 64178, 20230, 33035, 48864, 54926, 109215, 115991, 33541, 9174, 33035, 48864, 29295, 88367, 26854, 119318, 116310, 20230, 115592, 64178, 107407, 32149, 104873, 115694, 64121, 38144, 72315, 101832, 9174, 127066, 83125, 16144, 37823, 78525, 91062, 29295, 19732, 111243, 104712, 38641, 6447, 17161, 106968, 20230, 66953, 37823, 76739, 38248, 115, 78205, 16073, 69978, 28713, 122101, 104468, 81742, 48915, 104004, 101860, 32149, 102800, 16144, 119627, 5486, 72238, 116366, 114420, 125651, 9174, 109880, 26854, 112371, 5486, 111482, 107898, 125683, 62004, 26854, 104865, 5486, 75910, 106528, 107430, 16144, 39850, 37823, 67075, 15682, 127091, 10110, 17905, 25129, 16144, 103087, 35083, 115181, 30512, 30832, 64467, 122101, 104309, 7705, 30512, 125639, 17129, 109954, 9174, 109880, 61826, 20230, 103087, 35083, 115181, 16144, 82973, 71289, 106382, 11883, 15682, 107693, 19732, 101182, 105879, 5486, 103087, 35083, 115181, 112649, 117295, 82973, 71289, 106382, 11883, 109853, 108134, 107407, 107173, 42891, 102083, 16995, 125651, 9174, 27452, 116285, 110371, 105933, 89753, 33121, 16556, 83125, 30512, 103214, 64121, 121697, 38144, 112987, 32149, 29295, 123253, 32149, 9174, 111482, 107898, 125683, 62004, 26854, 114667, 80129, 198, 75910, 106528, 107430, 126130, 125683, 62004, 54926, 114667, 10110, 82973, 71289, 106382, 11883, 32977, 96412, 104004, 7705, 80129, 198, 75910, 106528, 107430, 30512, 62004, 75694, 17663, 20230, 30591, 28713, 76947, 16144, 39880, 45923, 66953, 112900, 10110, 33035, 48864, 88367, 26854, 115592, 64178, 106767, 17663, 104309, 23954, 110362, 30590, 26892, 53953, 18655, 73686, 101559, 78877, 85701, 15682, 5940, 110362, 30590, 26892, 53953, 18655, 73686, 101559, 15682, 5486, 16937, 91875, 106518, 101275, 98220, 20230, 81258, 107430, 54926, 17905, 16556, 104195, 64121, 108176, 78877, 5486, 5940, 106444, 103087, 35083, 38641, 9174, 115181, 54926, 118733, 5486, 16937, 91875, 106518, 18655, 73686, 16144, 120273, 103664, 112772, 23039, 30297, 107693, 30926, 105904, 16144, 122984, 71289, 61304, 13372, 110408, 104371, 123160, 5486, 110362, 30590, 26892, 53953, 18655, 73686, 101559, 20230, 67016, 118765, 121101, 117824, 30297, 105908, 125545, 9174, 106081, 111186, 15682, 116033, 16, 18904, 26854, 105879, 5486, 82420, 55723, 112535, 53508, 231, 104195, 103801, 109954, 106609, 127066, 104257, 121370, 20230, 37823, 60868, 113335, 116216, 61689, 101832, 1811, 106081, 111186, 16144, 100909, 103296, 102181, 32149, 33121, 100481, 38144, 106759, 102769, 26854, 77219, 125651, 106609, 109880, 111482, 107898, 125683, 62004, 26854, 105494, 16144, 101067, 66201, 29295, 15024, 20230, 47884, 16995, 105879, 5486, 32977, 100472, 16995, 100604, 38641, 56024, 24058, 340, 15120, 116033, 15120, 18904, 16144, 106081, 111186, 102677, 123017, 5486, 82973, 71289, 109933, 107446, 30512, 113727, 104533, 67645, 16144, 112425, 72661, 40265, 38144, 15682, 115464, 32149, 104405, 32149, 5486, 98499, 30046, 113468, 15682, 78683, 106240, 119703, 32149, 110241, 33121, 107515, 34910, 12, 61, 280, 88435, 9039, 29295, 48249, 125398, 105879, 50520, 111, 106624, 15682, 102181, 124324, 32149, 110241, 33121, 107515, 29295, 36896, 56906, 107430, 25580, 51330, 105933, 106592, 107113, 111482, 102052, 33334, 125683, 62004, 10646, 32977, 106624, 15682, 5486, 103359, 47523, 16144, 8107, 106036, 95, 29295, 78183, 117295, 102181, 50834, 24273, 16556, 98499, 30046, 29295, 23187, 8107, 123470, 117876, 30512, 101067, 66201, 15024, 126172, 47884, 39926, 112987, 32149, 29295, 123253, 32149, 9174, 106222, 33563, 117126, 8239, 112, 102781, 101559, 198, 60358, 8107, 5486, 118326, 15024, 87447, 101275, 54926, 113009, 103087, 35083, 115181, 30512, 30832, 64467, 17663, 111482, 20230, 126909, 16144, 126574, 103087, 35083, 38641, 9174, 106222, 33563, 117126, 8239, 112, 102781, 101559, 107118, 5486, 8239, 112, 122502, 106222, 33563, 117126, 16144, 46034, 106307, 50834, 30512, 103963, 117943, 30046, 20230, 31640, 78183, 76947, 23039, 100472, 31431, 5486, 8239, 112, 122502, 106045, 103664, 71289, 81258, 101275, 106045, 108630, 16144, 19967, 13153, 117824, 100472, 31431, 54926, 117876, 38641, 9174, 127706, 96455, 15682, 605, 113127, 39442, 112624, 19732, 111108, 97518, 119627, 5486, 78683, 106240, 29295, 45736, 17129, 103836, 105879, 45163, 37507, 34171, 107407, 103087, 35083, 38641, 57980, 9174, 127066, 111482, 107898, 125683, 62004, 26854, 114667, 29295, 30591, 76947, 104712, 125651, 6447, 45163, 37507, 34171, 107407, 102677, 123017, 98499, 30046, 29295, 31958, 30369, 16995, 120987, 30512, 101067, 66201, 125545, 101832, 9174, 102456, 104654, 39880, 45923, 119732, 119534, 198, 102456, 104654, 71289, 113614, 123863, 103087, 35083, 15682, 868, 102159, 71689, 57903, 5486, 102456, 104654, 39880, 45923, 119732, 119534, 15682, 5486, 18655, 30369, 100909, 38641, 104699, 20230, 81258, 107430, 20230, 103721, 233, 29295, 30369, 103087, 35083, 77181, 124897, 9174, 80673, 5486, 103087, 35083, 115181, 30512, 84851, 28194, 101, 103792, 114435, 15682, 43240, 47884, 57903, 5486, 123716, 110698, 71289, 123716, 35083, 29295, 91774, 104526, 62004, 33541, 9174, 17, 104297, 19732, 18, 104297, 115991, 5486, 117876, 20230, 76706, 32149, 17663, 126513, 17, 104297, 16144, 115181, 29295, 109215, 38641, 9174, 121410, 117073, 104654, 114556, 78183, 30369, 13177, 102456, 10646, 109853, 16144, 103087, 35083, 15682, 5486, 23187, 8107, 74482, 32977, 113614, 26854, 33014, 30512, 33563, 59739, 103846, 105352, 33334, 125683, 62004, 38641, 9174, 127066, 19732, 111243, 104257, 121370, 26854, 37823, 60868, 113335, 29295, 108044, 78183, 76947, 50834, 33541, 1811, 67016, 32977, 5486, 102456, 104654, 39880, 45923, 119732, 119534, 29295, 67645, 103171, 103087, 35083, 26854, 104865, 29295, 51330, 106649, 16995, 83125, 16556, 123011, 62004, 110071, 104468, 19732, 111243, 17663, 48154, 16995, 106046, 61689, 106609, 109880, 77219, 30512, 98499, 104004, 48249, 31431, 5486, 88356, 81258, 107430, 70141, 76622, 16144, 103087, 35083, 123253, 32149, 95532, 118789, 112535, 103087, 35083, 115181, 30512, 84851, 28194, 101, 103792, 114435, 16144, 101275, 104091, 5486, 117876, 44915, 104309, 118789, 109904, 108134, 29295, 30591, 104984, 5486, 125821, 106759, 102769, 26854, 77219, 115717, 33541, 57980, 9174, 77219, 30512, 98499, 102189, 121142, 13177, 112832, 20230, 59712, 99849, 30512, 66383, 95604, 106592, 15682, 121381, 31431, 107726, 28713, 118881, 29295, 5486, 124131, 103927, 16556, 98499, 104004, 102052, 109431, 127145, 9174, 102456, 71289, 113614, 123863, 117876, 16556, 88356, 81258, 107430, 30512, 30832, 64467, 17663, 24273, 107898, 125683, 62004, 26854, 106592, 5486, 119869, 20230, 120267, 102769, 76947, 103801, 16995, 17129, 109954, 9174, 27452, 7705, 83125, 16144, 106391, 13153, 78698, 107290, 64121, 79721, 1811, 121846, 101983, 104984, 106515, 16995, 38641, 9174, 88356, 81258, 107430, 102052, 33334, 125683, 62004, 26854, 103087, 35083, 10110, 101275, 104091, 71289, 117876, 44915, 104309, 126362, 7705, 80129, 198, 33334, 125683, 62004, 26854, 114667, 10110, 103087, 35083, 115181, 16144, 106382, 11883, 71289, 82973, 5486, 117876, 16144, 71289, 31431, 125001, 104309, 7705, 80129, 198, 39880, 45923, 66953, 112900, 10110, 113614, 105352, 107734, 80195, 59739, 104309, 23954, 104774, 25197, 96452, 16073, 123618, 57326, 93488, 118567, 198, 85188, 35330, 71289, 33563, 117126, 5486, 16937, 91875, 106518, 104309, 33334, 35330, 123863, 53283, 109375, 30512, 32977, 59739, 33334, 35330, 16144, 114363, 103722, 46729, 29295, 32977, 59739, 106444, 103087, 35083, 38641, 9174, 14167, 100, 65854, 112197, 35330, 123863, 119526, 30512, 32977, 19732, 20230, 17792, 21990, 57326, 93488, 16144, 39880, 45923, 66953, 112900, 117824, 61689, 9174, 87447, 101275, 16144, 113009, 115181, 54926, 114754, 43240 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 102532, 108446, 50928, 107726, 102204, 33541, 9174, 127066, 27384, 102769, 26854, 120098, 30512, 17663, 121381, 31431, 123011, 62004, 102204, 100481, 100481, 16995, 125651, 106609, 109880, 6109, 77219, 77181, 115953, 19113, 18, 111017, 5486, 104328, 33503, 29295, 26854, 22, 111017, 29295, 98499, 64121, 126172, 16995, 102083, 78183, 106824, 61689, 9174, 13177, 74482, 108680, 10646, 15682, 104328, 33503, 29295, 26854, 120332, 29295, 98499, 64121, 126172, 16995, 106046, 61689, 105879, 104328, 33503, 29295, 26854, 20230, 121256, 113637, 104466, 107188, 117657, 106592, 13177, 115953, 19113, 30512, 104328, 124749, 66383, 16995, 61689, 9174, 109880, 13177, 114626, 16144, 111482, 107898, 125683, 62004, 16144, 103087, 35083, 15682, 21909, 10646, 16144, 16, 17161, 15682, 30591, 107290, 102181, 32149, 103470, 111243, 5486, 106046, 61689, 9174, 47307, 78983, 33710, 16556, 111482, 107898, 125683, 62004, 102083, 103836, 105879, 5486, 98499, 30046, 15682, 111482, 38641, 123794, 34910, 12, 61, 280, 51330, 16, 17161, 16556, 5486, 110382, 55031, 61826, 16144, 105494, 15682, 98499, 64121, 107850, 81219, 107001, 32149, 5486, 107803, 113468, 15682, 106627, 110645, 116216, 114732, 33334, 77693, 32977, 57903, 33541, 56024, 24058, 340, 85701, 103296, 16144, 107391, 104612, 71289, 109431, 34171, 30512, 76706, 32149, 39926, 102647, 104369, 198, 85701, 103296, 16144, 117876, 44915, 71289, 5486, 115364, 109431, 34171, 30512, 76706, 32149, 56051, 103087, 35083, 30512, 102647, 104369, 115789, 27384, 102769, 26854, 120098, 38641, 9174, 17663, 16556, 20230, 115181, 103792, 103087, 35083, 120938, 25129, 103087, 35083, 30512, 30832, 64467, 56051, 31431, 5486, 39442, 106613, 111186, 72661, 5486, 115364, 109431, 34171, 30512, 76706, 32149, 122101, 103087, 35083, 30512, 102647, 102189, 31431, 54926, 106592, 33334, 125683, 62004, 78434, 9174, 127066, 101402, 19113, 113245, 104195, 104873, 29295, 19732, 111243, 8239, 114503, 9554, 125651, 127413, 198, 113173, 30512, 104662, 107436, 55031, 103087, 35083, 30512, 102647, 104369, 78877, 85701, 15682, 5940, 113173, 15682, 103087, 35083, 30512, 115181, 54926, 17905, 16556, 19732, 111243, 27384, 102769, 26854, 120098, 38641, 1811, 72958, 124131, 103927, 16556, 98499, 104004, 98499, 30046, 29295, 127181, 105879, 5486, 127105, 30591, 67645, 112690, 15682, 108608, 103378, 111098, 76622, 118789, 109904, 36668, 102158, 30512, 16995, 33121, 17129, 109954, 9174, 103087, 35083, 30512, 115181, 39926, 88356, 81258, 107430, 30512, 30832, 64467, 17663, 104865, 5486, 72718, 101275, 54926, 104865, 9174, 122270, 5486, 67645, 103171, 117876, 126198, 16995, 104865, 5486, 33035, 114731, 29295, 88367, 26854, 119318, 116310, 102052, 67645, 103171, 107430, 75267, 107407, 104865, 104309, 5486, 113173, 30512, 104662, 109315, 118733, 103087, 35083, 15682, 107188, 31431, 198, 5940, 58254, 252, 5940, 21105, 120, 102204, 33541, 1811, 111971, 8107, 123470, 117876, 15682, 5486, 43568, 22649, 103470, 106307, 76622, 110071, 105908, 27384, 102769, 26854, 105879, 5486, 126843, 15682, 113173, 55031, 78698, 107290, 64121, 17129, 109954, 106609, 127066, 99849, 30512, 30832, 112535, 54926, 104865, 120953, 113727, 104984, 104712, 104865, 16144, 46239, 29295, 30591, 76947, 19732, 111243, 104712, 125651, 1811, 98499, 30046, 29295, 113173, 30512, 113727, 104533, 50834, 16144, 45893, 15024, 30369, 103854, 115717, 33541, 40620, 198, 109880, 104195, 104873, 110731, 105494, 119627, 5486, 67645, 112384, 32149, 102677, 19732, 13177, 88356, 81258, 107430, 30512, 30832, 64467, 17663, 104865, 21909, 10646, 88852, 16144, 17161, 120332, 29295, 98499, 30046, 15682, 53283, 31431, 106956, 106046, 61689, 9174, 108134, 30512, 64531, 22649, 39926, 23964, 229, 40089, 102181, 50834, 71289, 103672, 107840, 16556, 104195, 104873, 107001, 102083, 117714, 77181, 106046, 16995, 79721, 9174, 27452, 7705, 9458, 88356, 81258, 107430, 30512, 62004, 75694, 17663, 105110, 5486, 33035, 114731, 29295, 88367, 26854, 119318, 116310, 16556, 67645, 103171, 107430, 75267, 107407, 104865, 198, 9458, 72718, 101275, 56051, 117714, 105110, 5486, 67645, 103171, 78683, 106240, 20230, 106608, 105262, 117876, 29295, 56051, 16995, 104865, 5486, 106613, 111186, 30512, 76706, 32149, 122101, 117876, 15682, 101182, 104865, 198, 51330, 105933, 120098, 55031, 113173, 30512, 113727, 100481, 126145, 5486, 108167, 106956, 103087, 35083, 29295, 107188, 31431, 21105, 120, 102204, 33541, 9174, 103087, 35083, 115181, 112649, 117295, 82973, 71289, 106382, 11883, 16556, 102647, 104369, 78877, 85701, 15682, 5940, 103087, 35083, 113468, 108048, 108422, 33121, 119448, 47884, 108901, 26854, 31431, 33541, 9174, 109880, 127105, 30591, 67645, 112690, 30512, 111098, 76622, 106956, 105879, 5486, 108031, 114715, 50520, 111, 106624, 102181, 50834, 17129, 109954, 9174, 27452, 7705, 23187, 8107, 74482, 5486, 103087, 35083, 115181, 112649, 117295, 82973, 71289, 106382, 11883, 15682, 19732, 111243, 107693, 38641, 9174, 27452, 116285, 5486, 9039, 8107, 32149, 107441, 111108, 97518, 103087, 35083, 20230, 127706, 120837, 5486, 81258, 107430, 54926, 119400, 102052, 33014, 48634, 112535, 122502, 47884, 112973, 111108, 106624, 26854, 103836, 32149, 110241, 33121, 107515, 9174, 32149, 102083, 76947, 5486, 9039, 9080, 56965, 16144, 114341, 108710, 121142, 115181, 108608, 103087, 35083, 15682, 30591, 109709, 115552, 115991, 107515, 9174, 82973, 19732, 33334, 35330, 30512, 19361, 126120, 20230, 33655, 30297, 113009, 5486, 103087, 35083, 115181, 112649, 117295, 82973, 71289, 106382, 11883, 30512, 102178, 111665, 39926, 33334, 50834, 17129, 109954, 9174, 127066, 104405, 39926, 82973, 71289, 106382, 11883, 30512, 102647, 104369, 104865, 16144, 102831, 26955, 254, 29295, 102181, 32149, 33121, 100481, 38144, 108323, 50928, 48634, 115991, 33541, 6447, 19732, 111243, 104712, 125651, 7, 22634, 40620, 198, 23187, 8107, 74482, 32977, 117876, 123410, 111482, 107898, 125683, 62004, 16144, 103087, 35083, 198, 77693, 77181, 5486, 23187, 8107, 74482, 32977, 117876, 126198, 16995, 106046, 103836, 111482, 107898, 125683, 62004, 16144, 103087, 35083, 30512, 48154, 126362, 109768, 50834, 33541, 9174, 59739, 26854, 105557, 16144, 83125, 29295, 17701, 76947, 102532, 5486, 22398, 91062, 106240, 20230, 98499, 64121, 103130, 62004, 102204, 33541, 101832, 106609, 75910, 106528, 107430, 102351, 85707, 49988, 30046, 101772, 23951, 198, 75910, 106528, 123863, 103087, 35083, 112987, 47884, 59739, 32977, 57903, 5486, 103350, 102781, 106613, 111186, 30512, 108882, 64121, 106272, 5486, 17905, 25129, 16144, 103087, 35083, 115181, 30512, 30832, 64467, 122101, 102677, 66378, 17599, 112, 115991, 33541, 9174, 75910, 106528, 116690, 16144, 117876, 20230, 81258, 47884, 102052, 5486, 126843, 15682, 103856, 62004, 20230, 75910, 106528, 107430, 102351, 85707, 49988, 30046, 101772, 23951, 114475, 76622, 17129, 109954, 106609, 5940, 115181, 103801, 109954, 6447, 5940, 198, 75910, 106528, 107430, 102351, 85707, 49988, 30046, 101772, 23951, 15682, 5486, 5894, 82973, 16144, 101772, 23951, 123470, 23951, 35287, 106081, 111186, 20230, 127706, 112990, 23951, 35287, 110322, 29295, 102404, 23039, 84389, 33541, 9174, 101772, 23951, 15682, 5486, 102208, 72368, 45893, 102697, 72099, 48154, 110792, 115592, 64178, 20230, 33035, 48864, 54926, 109215, 115991, 33541, 9174, 33035, 48864, 29295, 88367, 26854, 119318, 116310, 20230, 115592, 64178, 107407, 32149, 104873, 115694, 64121, 38144, 72315, 101832, 9174, 127066, 83125, 16144, 37823, 78525, 91062, 29295, 19732, 111243, 104712, 38641, 6447, 17161, 106968, 20230, 66953, 37823, 76739, 38248, 115, 78205, 16073, 69978, 28713, 122101, 104468, 81742, 48915, 104004, 101860, 32149, 102800, 16144, 119627, 5486, 72238, 116366, 114420, 125651, 9174, 109880, 26854, 112371, 5486, 111482, 107898, 125683, 62004, 26854, 104865, 5486, 75910, 106528, 107430, 16144, 39850, 37823, 67075, 15682, 127091, 10110, 17905, 25129, 16144, 103087, 35083, 115181, 30512, 30832, 64467, 122101, 104309, 7705, 30512, 125639, 17129, 109954, 9174, 109880, 61826, 20230, 103087, 35083, 115181, 16144, 82973, 71289, 106382, 11883, 15682, 107693, 19732, 101182, 105879, 5486, 103087, 35083, 115181, 112649, 117295, 82973, 71289, 106382, 11883, 109853, 108134, 107407, 107173, 42891, 102083, 16995, 125651, 9174, 27452, 116285, 110371, 105933, 89753, 33121, 16556, 83125, 30512, 103214, 64121, 121697, 38144, 112987, 32149, 29295, 123253, 32149, 9174, 111482, 107898, 125683, 62004, 26854, 114667, 80129, 198, 75910, 106528, 107430, 126130, 125683, 62004, 54926, 114667, 10110, 82973, 71289, 106382, 11883, 32977, 96412, 104004, 7705, 80129, 198, 75910, 106528, 107430, 30512, 62004, 75694, 17663, 20230, 30591, 28713, 76947, 16144, 39880, 45923, 66953, 112900, 10110, 33035, 48864, 88367, 26854, 115592, 64178, 106767, 17663, 104309, 23954, 110362, 30590, 26892, 53953, 18655, 73686, 101559, 78877, 85701, 15682, 5940, 110362, 30590, 26892, 53953, 18655, 73686, 101559, 15682, 5486, 16937, 91875, 106518, 101275, 98220, 20230, 81258, 107430, 54926, 17905, 16556, 104195, 64121, 108176, 78877, 5486, 5940, 106444, 103087, 35083, 38641, 9174, 115181, 54926, 118733, 5486, 16937, 91875, 106518, 18655, 73686, 16144, 120273, 103664, 112772, 23039, 30297, 107693, 30926, 105904, 16144, 122984, 71289, 61304, 13372, 110408, 104371, 123160, 5486, 110362, 30590, 26892, 53953, 18655, 73686, 101559, 20230, 67016, 118765, 121101, 117824, 30297, 105908, 125545, 9174, 106081, 111186, 15682, 116033, 16, 18904, 26854, 105879, 5486, 82420, 55723, 112535, 53508, 231, 104195, 103801, 109954, 106609, 127066, 104257, 121370, 20230, 37823, 60868, 113335, 116216, 61689, 101832, 1811, 106081, 111186, 16144, 100909, 103296, 102181, 32149, 33121, 100481, 38144, 106759, 102769, 26854, 77219, 125651, 106609, 109880, 111482, 107898, 125683, 62004, 26854, 105494, 16144, 101067, 66201, 29295, 15024, 20230, 47884, 16995, 105879, 5486, 32977, 100472, 16995, 100604, 38641, 56024, 24058, 340, 15120, 116033, 15120, 18904, 16144, 106081, 111186, 102677, 123017, 5486, 82973, 71289, 109933, 107446, 30512, 113727, 104533, 67645, 16144, 112425, 72661, 40265, 38144, 15682, 115464, 32149, 104405, 32149, 5486, 98499, 30046, 113468, 15682, 78683, 106240, 119703, 32149, 110241, 33121, 107515, 34910, 12, 61, 280, 88435, 9039, 29295, 48249, 125398, 105879, 50520, 111, 106624, 15682, 102181, 124324, 32149, 110241, 33121, 107515, 29295, 36896, 56906, 107430, 25580, 51330, 105933, 106592, 107113, 111482, 102052, 33334, 125683, 62004, 10646, 32977, 106624, 15682, 5486, 103359, 47523, 16144, 8107, 106036, 95, 29295, 78183, 117295, 102181, 50834, 24273, 16556, 98499, 30046, 29295, 23187, 8107, 123470, 117876, 30512, 101067, 66201, 15024, 126172, 47884, 39926, 112987, 32149, 29295, 123253, 32149, 9174, 106222, 33563, 117126, 8239, 112, 102781, 101559, 198, 60358, 8107, 5486, 118326, 15024, 87447, 101275, 54926, 113009, 103087, 35083, 115181, 30512, 30832, 64467, 17663, 111482, 20230, 126909, 16144, 126574, 103087, 35083, 38641, 9174, 106222, 33563, 117126, 8239, 112, 102781, 101559, 107118, 5486, 8239, 112, 122502, 106222, 33563, 117126, 16144, 46034, 106307, 50834, 30512, 103963, 117943, 30046, 20230, 31640, 78183, 76947, 23039, 100472, 31431, 5486, 8239, 112, 122502, 106045, 103664, 71289, 81258, 101275, 106045, 108630, 16144, 19967, 13153, 117824, 100472, 31431, 54926, 117876, 38641, 9174, 127706, 96455, 15682, 605, 113127, 39442, 112624, 19732, 111108, 97518, 119627, 5486, 78683, 106240, 29295, 45736, 17129, 103836, 105879, 45163, 37507, 34171, 107407, 103087, 35083, 38641, 57980, 9174, 127066, 111482, 107898, 125683, 62004, 26854, 114667, 29295, 30591, 76947, 104712, 125651, 6447, 45163, 37507, 34171, 107407, 102677, 123017, 98499, 30046, 29295, 31958, 30369, 16995, 120987, 30512, 101067, 66201, 125545, 101832, 9174, 102456, 104654, 39880, 45923, 119732, 119534, 198, 102456, 104654, 71289, 113614, 123863, 103087, 35083, 15682, 868, 102159, 71689, 57903, 5486, 102456, 104654, 39880, 45923, 119732, 119534, 15682, 5486, 18655, 30369, 100909, 38641, 104699, 20230, 81258, 107430, 20230, 103721, 233, 29295, 30369, 103087, 35083, 77181, 124897, 9174, 80673, 5486, 103087, 35083, 115181, 30512, 84851, 28194, 101, 103792, 114435, 15682, 43240, 47884, 57903, 5486, 123716, 110698, 71289, 123716, 35083, 29295, 91774, 104526, 62004, 33541, 9174, 17, 104297, 19732, 18, 104297, 115991, 5486, 117876, 20230, 76706, 32149, 17663, 126513, 17, 104297, 16144, 115181, 29295, 109215, 38641, 9174, 121410, 117073, 104654, 114556, 78183, 30369, 13177, 102456, 10646, 109853, 16144, 103087, 35083, 15682, 5486, 23187, 8107, 74482, 32977, 113614, 26854, 33014, 30512, 33563, 59739, 103846, 105352, 33334, 125683, 62004, 38641, 9174, 127066, 19732, 111243, 104257, 121370, 26854, 37823, 60868, 113335, 29295, 108044, 78183, 76947, 50834, 33541, 1811, 67016, 32977, 5486, 102456, 104654, 39880, 45923, 119732, 119534, 29295, 67645, 103171, 103087, 35083, 26854, 104865, 29295, 51330, 106649, 16995, 83125, 16556, 123011, 62004, 110071, 104468, 19732, 111243, 17663, 48154, 16995, 106046, 61689, 106609, 109880, 77219, 30512, 98499, 104004, 48249, 31431, 5486, 88356, 81258, 107430, 70141, 76622, 16144, 103087, 35083, 123253, 32149, 95532, 118789, 112535, 103087, 35083, 115181, 30512, 84851, 28194, 101, 103792, 114435, 16144, 101275, 104091, 5486, 117876, 44915, 104309, 118789, 109904, 108134, 29295, 30591, 104984, 5486, 125821, 106759, 102769, 26854, 77219, 115717, 33541, 57980, 9174, 77219, 30512, 98499, 102189, 121142, 13177, 112832, 20230, 59712, 99849, 30512, 66383, 95604, 106592, 15682, 121381, 31431, 107726, 28713, 118881, 29295, 5486, 124131, 103927, 16556, 98499, 104004, 102052, 109431, 127145, 9174, 102456, 71289, 113614, 123863, 117876, 16556, 88356, 81258, 107430, 30512, 30832, 64467, 17663, 24273, 107898, 125683, 62004, 26854, 106592, 5486, 119869, 20230, 120267, 102769, 76947, 103801, 16995, 17129, 109954, 9174, 27452, 7705, 83125, 16144, 106391, 13153, 78698, 107290, 64121, 79721, 1811, 121846, 101983, 104984, 106515, 16995, 38641, 9174, 88356, 81258, 107430, 102052, 33334, 125683, 62004, 26854, 103087, 35083, 10110, 101275, 104091, 71289, 117876, 44915, 104309, 126362, 7705, 80129, 198, 33334, 125683, 62004, 26854, 114667, 10110, 103087, 35083, 115181, 16144, 106382, 11883, 71289, 82973, 5486, 117876, 16144, 71289, 31431, 125001, 104309, 7705, 80129, 198, 39880, 45923, 66953, 112900, 10110, 113614, 105352, 107734, 80195, 59739, 104309, 23954, 104774, 25197, 96452, 16073, 123618, 57326, 93488, 118567, 198, 85188, 35330, 71289, 33563, 117126, 5486, 16937, 91875, 106518, 104309, 33334, 35330, 123863, 53283, 109375, 30512, 32977, 59739, 33334, 35330, 16144, 114363, 103722, 46729, 29295, 32977, 59739, 106444, 103087, 35083, 38641, 9174, 14167, 100, 65854, 112197, 35330, 123863, 119526, 30512, 32977, 19732, 20230, 17792, 21990, 57326, 93488, 16144, 39880, 45923, 66953, 112900, 117824, 61689, 9174, 87447, 101275, 16144, 113009, 115181, 54926, 114754, 43240 ]
[ 47884, 61689, 29295, 5486, 87447, 101275, 54926, 103846, 102052, 83747, 103470, 107173, 17, 104297, 15682, 115181, 39926, 33334, 50834, 17129, 109954, 106609, 109880, 117896, 32977, 111482, 107898, 125683, 62004, 26854, 114667, 5486, 106382, 11883, 71289, 82973, 5486, 39850, 37823, 67075, 104309, 30512, 50338, 108323, 103801, 109954, 9174, 23187, 8107, 74482, 32977, 117876, 123410, 111482, 107898, 125683, 62004, 16144, 103087, 35083, 123011, 62004, 198, 9039, 43240, 47884, 101182, 103087, 35083, 107809, 55031, 5486, 23187, 8107, 123470, 117876, 20230, 76706, 32149, 122101, 103087, 35083, 30512, 106767, 17663, 104468, 5486, 33014, 48634, 32977, 82973, 32977, 21403, 232, 124195, 103801, 61689, 9174, 110924, 16556, 33671, 16144, 46702, 59739, 29295, 120098, 121711, 33541, 9174, 12, 106030, 114676, 101083, 31640, 20230, 78683, 106240, 107407, 198, 12, 124939, 104612, 71289, 109431, 34171, 30512, 76706, 32149, 17663, 198, 12, 110124, 229, 35083, 115181, 16144, 113173, 30512, 104662, 109315, 198, 12, 121619, 50928, 112649, 117295, 82973, 71289, 106382, 11883, 30512, 102178, 111665, 54926, 198, 51330, 19, 118821, 120098, 126130, 30813, 105262, 121142, 108149, 112568, 20230, 32335, 109431, 26854, 103087, 35083, 29295, 102647, 102802, 126172, 115737, 31431, 33541, 57980, 9174, 37271, 18904, 126362, 56051, 103087, 35083, 109853, 32977, 5486, 121846, 116446, 64121, 38144, 72315, 101832, 9174, 127587, 241, 72342, 42891, 32149, 47884, 104257, 121370, 20230, 37823, 60868, 113335, 84389, 101732, 105879, 5486, 110382, 16556, 112825, 110904, 107898, 125683, 62004, 16144, 103087, 35083, 30512, 23964, 229, 40089, 102181, 50834, 16556, 46239, 121256, 9174, 12, 220, 75910, 106528, 107430, 102351, 85707, 49988, 30046, 101772, 23951, 198, 12, 42579, 227, 30590, 26892, 53953, 18655, 73686, 101559, 198, 12, 119767, 38093, 33563, 117126, 8239, 112, 102781, 101559, 198, 12, 125389, 104654, 39880, 45923, 119732, 119534, 198, 12, 122827, 25197, 96452, 16073, 123618, 57326, 93488, 118567, 198, 103087, 35083, 16144, 115181, 113468, 5486, 23187, 8107, 123470, 111482, 29295, 76706, 109526, 235, 108608, 117876, 16144, 121507, 57942, 95, 15682, 108285, 29295, 31431, 33541, 9174, 53900, 5486, 117876, 121142, 103470, 5486, 53283, 109375, 29295, 115079, 105262, 118733, 85701, 117758, 104654, 29295, 119515, 32149, 115717, 33541, 57980, 9174, 23187, 8107, 123470, 17039, 102800, 104654, 30512, 101067, 66201, 21105, 103, 29295, 33503, 5486, 112371, 104328, 103087, 35083, 115181, 30512, 30832, 64467, 39926, 64121, 38144, 72315, 101832, 9174, 105465, 106624, 122502, 105784, 117876, 29295, 91774, 59739, 107277, 33541, 104466, 9174, 114626, 103296, 33334, 98499, 64121, 115962, 50834, 97135, 16995, 79721, 9174, 127066, 98499, 30046, 20230, 108385, 31431, 114001, 30297, 83125, 29295, 19732, 111243, 104622, 106624, 38144, 5486, 103232, 61786, 98369, 112197, 17792, 120910, 29295, 108044, 116547, 33541, 101832, 1811, 98499, 104127, 57980, 102518, 119150, 112661, 56965, 38641, 9174, 106649, 16995, 77219, 103306, 123011, 109315, 102052, 5486, 108134, 33857, 29295, 43240, 47884, 38144, 27384, 104721, 103351, 106046, 61689, 9174, 107943, 16325, 5486, 104257, 121370, 20230, 37823, 60868, 113335, 84389, 100481, 38144, 78183, 107277, 126172, 47884, 123011, 62004, 109115, 120266, 19732, 111243, 121602, 50834, 79721, 106609, 23226, 107436, 116043, 116882, 33334, 59739, 32149, 33121, 30813, 103296, 56051, 9174, 567, 68042, 73590, 15682, 117896, 55031, 104405, 108422, 198, 567, 68042, 73590, 124720, 43444, 22, 14558, 23954, 6109, 77219, 103306, 19732, 111243, 64531, 103836, 77219, 16556, 5486, 121602, 50834, 79721, 9174, 10110, 114001, 21403, 232, 21105, 103, 29295, 33503, 115408, 116907, 32977, 125821, 53508, 231, 104195, 21105, 103, 118145, 19732, 95543, 66870, 121256, 34910, 12, 61, 26, 23954, 47307, 78983, 114615, 122382, 24273, 71289, 116043, 116882, 33710, 64178, 16144, 114140, 104309, 21105, 96, 107277, 84389, 100481, 38144, 5486, 102803, 103906, 94550, 113115, 54926, 103232, 61786, 115867, 89151, 99046, 107, 126738, 120208, 29295, 108044, 78183, 30369, 77219, 125651, 9174, 13177, 23187, 8107, 74482, 59712, 117876, 59712, 111482, 59712, 103087, 35083, 117503, 62903, 25005, 107, 65575, 15682, 108134, 29295, 43240, 47884, 38144, 5486, 64531, 22649, 39926, 109823, 16144, 19113, 9039, 20230, 123011, 109315, 104468, 27384, 104721, 103351, 106046, 61689, 29295, 5486, 108134, 30512, 78183, 107277, 126172, 47884, 123011, 62004, 102204, 100481, 79721, 9174, 103359, 47523, 16144, 98499, 30046, 29295, 5486, 23187, 8107, 30512, 115412, 8107, 123090, 103851, 107800, 17792, 26854, 104865, 30512, 118789, 112535, 116700, 127564, 5486, 122270, 105284, 16144, 126574, 77219, 108176, 125396, 30512, 112391, 33541, 9174, 85701, 117758, 103232, 61786, 115867, 102803, 102514, 103306, 16144, 48154, 76706, 109526, 235, 30512, 105465, 21105, 123, 116446, 61689, 106609, 37271, 18904, 16144, 114001, 21403, 232, 29295, 37271, 123470, 103232, 61786, 115867, 102803, 102514, 103306, 16144, 22398, 62903, 33710, 122060, 20230, 114715, 72661, 33334, 107734, 20230, 121697, 33541, 104466, 9174, 72238, 114737, 26854, 77219, 30512, 97135, 16995, 79721, 106609, 103232, 61786, 98369, 5486, 116043, 116882, 33334, 127814, 33121, 30813, 103296, 56051, 106609, 98499, 30046, 20230, 108385, 31431, 114001, 30297, 105933, 105494, 29295, 5486, 110229, 67645, 107404, 20230, 112391, 110071, 114318, 111243, 104622, 102800, 77219, 125651, 9174, 28713, 19732, 58942, 13177, 16995, 17129, 115143, 103087, 35083, 114016, 16449, 10646, 106046, 106358, 103306, 32977, 5486, 117896, 16144, 77219, 30512, 98499, 64121, 105721, 78183, 100472, 74482, 102052, 13177, 113461, 32149, 86127, 105352, 103082, 102131, 66383, 91763, 110027, 38144, 124089, 105933, 5486, 72238, 114737, 26854, 77219, 16556, 56051, 9174, 103232, 61786, 117940, 5486, 50834, 104043, 5486, 121771, 98369, 104257, 121370, 20230, 37823, 60868, 113335, 103646, 104127, 109954, 101832, 9174, 83125, 32977, 5486, 79982, 112535, 78183, 107277, 126172, 47884, 102181, 32149, 33121, 107991, 102944, 29295, 43240, 47884, 114318, 111243, 98499, 64121, 126172, 102518, 38641, 106609, 85701, 55031, 32977, 5486, 112371, 104328, 102803, 102514, 30512, 106307, 107441, 72315, 101832, 40620, 198, 103232, 61786, 115867, 102803, 102514, 17792, 21990, 29295, 119883, 32149, 102800, 102944, 121711, 33541, 104466, 106609, 30591, 109669, 64121, 98369, 5486, 114001, 21403, 232, 33334, 127814, 33121, 30813, 103296, 56051, 9174, 19732, 111243, 78183, 107277, 126172, 16995, 114001, 21403, 232, 16556, 56051, 9174, 80539, 108149, 109669, 64121, 115867, 104622, 102800, 33334, 17792, 120910, 29295, 108044, 78183, 76947, 50834, 79721, 9174, 103232, 61786, 19361, 105351, 98369, 5486, 116043, 116882, 33334, 127814, 33121, 30813, 103296, 56051, 9174, 37823, 60868, 113335, 48634, 16144, 45736, 30813, 5486, 108134, 16144, 64531, 22649, 16144, 106548, 24273, 5486, 19967, 101275, 31634, 108761, 20230, 117989, 103836, 100909, 104309, 5486, 2984, 102803, 102514, 16144, 117876, 30512, 113954, 110731, 24273, 118816, 78183, 107277, 33541, 9174, 48249, 109115, 88435, 9039, 16556, 85701, 103378, 16144, 108134, 30512, 109466, 31431, 104526, 104004, 102052, 5486, 112690, 30512, 16906, 111, 102647, 39926, 83125, 30512, 21403, 232, 105557, 102936, 103646, 16144, 111769, 123253, 32149, 9174, 22398, 26269, 62903, 37823, 103306, 98499, 64121, 126172, 16995, 83125, 118816, 112391, 79721, 9174, 103232, 61786, 121944, 20379, 56051, 19, 118821, 120098, 15682, 5486, 23187, 8107, 104088, 16423, 107290, 103087, 35083, 115181, 30512, 78698, 105262, 17905, 16556, 19732, 111243, 104712, 45893, 15024, 30369, 103854, 115717, 33541, 101832, 9174, 98499, 30046, 20230, 107734, 80195, 59739, 17663, 81219, 114420, 77219, 36785, 106046, 61689, 9174, 85701, 55031, 32977, 102803, 102514, 103306, 122270, 107850, 109526, 235, 107001, 106592, 33334, 55228, 230, 31431, 127145, 106609, 50, 6542, 20230, 48154, 110284, 108112, 30813, 31431, 97135, 16995, 79721, 9174, 30591, 109669, 64121, 98369, 5486, 17663, 81219, 114420, 114001, 21403, 232, 16556, 56051, 9174, 33334, 127814, 33121, 30813, 103296, 56051, 106609, 103232, 61786, 19361, 105351, 98369, 5486, 116043, 116882, 33334, 127814, 33121, 103826, 16556, 56051, 106609, 98499, 30046, 20230, 107734, 80195, 59739, 108134, 30512, 21105, 96, 107277, 37823, 60868, 113335, 116216, 5486, 109823, 16144, 88435, 9039, 20230, 17620, 107277, 126172, 47884, 123011, 62004, 102204, 100481, 79721, 101832, 106609, 108134, 29295, 127181, 19732, 5486, 67645, 16144, 105494, 30512, 76706, 32149, 17663, 32149, 21105, 96, 107277, 84851, 8067, 110, 21105, 103, 29295, 33503, 77219, 19967, 31431, 30512, 21105, 103, 16995, 19732, 101544, 16995, 83125, 117084, 103801, 61689, 123794, 9174, 123682, 19361, 105351, 117940, 108048, 30512, 21105, 96, 107277, 19732, 23039, 26854, 106358, 105879, 5486, 72238, 116366, 114420, 26854, 106046, 16995, 79721, 9174, 77219, 16144, 44915, 32977, 5486, 23187, 8107, 123470, 103087, 35083, 102677, 118733, 115847, 55031, 114099, 102669, 56051, 16995, 107493, 109440, 103836, 98499, 30046, 98369, 20230, 108385, 31431, 114001, 100472, 57933, 108941, 16556, 55999, 99750, 121256, 9174, 86127, 32977, 5486, 45163, 37507, 102416, 70141, 107441, 83747, 21105, 248, 59739, 105994, 20230, 106084, 30369, 103087, 35083, 15682, 67645, 33121, 32149, 104873, 115694, 64121, 101200, 106046, 61689, 9174, 19361, 105351, 115867, 37271, 123470, 102803, 102514, 112415, 30512, 106608, 110238, 127145, 106609, 30591, 109669, 64121, 98369, 114001, 21403, 232, 33334, 127814, 33121, 103826, 16556, 56051, 9174, 19732, 111243, 104257, 121370, 26854, 114001, 21403, 232, 19732, 111243, 53508, 231, 104195, 115717, 79721, 106609, 103232, 61786, 19361, 105351, 98369, 5486, 116043, 116882, 33334, 127814, 33121, 30813, 103296, 56051, 106609, 108134, 29295, 104603, 72369, 26269, 19732, 127919, 123332, 103646, 77219, 16556, 114318, 111243, 98499, 64121, 126172, 102518, 38641, 9174, 68759, 118331, 107908, 30512, 98499, 64121, 104526, 104127, 16995, 33503, 42891, 116826, 104533, 107173, 20230, 111476, 103232, 61786, 115867, 37823, 60868, 113335, 48634, 71289, 102803, 103906, 94550, 22398, 62903, 114615, 45736, 30813, 30512, 112391, 79721, 9174, 104622, 102800, 112690, 16556, 98499, 112919, 105068, 16325, 30512, 110408, 39926, 47884, 106824, 61689, 101832, 9174, 30591, 109669, 64121, 98369, 112197, 42891, 116826, 30369, 104466, 5486, 99695, 33710, 102741, 96452, 30512, 118789, 112535, 116700, 54926, 107173, 42891, 102083, 16995, 77219, 101983, 104533, 114284, 79721, 9174, 37823, 78525, 91062, 114652, 98499, 109315, 72238, 114737, 26854, 77219, 30512, 97135, 16995, 79721, 9174, 78183, 107277, 126172, 47884, 38144, 104622, 21105, 243, 30591, 105104, 104028, 114001, 21403, 232, 5486, 53508, 231, 104195, 115717, 33541, 9174, 103232, 61786, 19361, 105351, 98369, 5486, 116043, 116882, 33334, 127814, 33121, 103826, 38641, 9174, 21105, 96, 107277, 37823, 60868, 113335, 103646, 112973, 108044, 78183, 76947, 50834, 79721, 9174, 66378, 20230, 5486, 103087, 35083, 16144, 102647, 102802, 24273, 16144, 110229, 71289, 118789, 109904, 103087, 35083, 16144, 48154, 126362, 15682, 19732, 111243, 121846, 115717, 79721, 9174, 5245, 15, 19113, 113314, 102677, 44416, 103664, 107407, 26854, 32149, 16556, 110382, 103296, 127919, 16995, 44915, 16144, 77219, 30512, 102181, 105784, 110115, 121602, 50834, 38641, 106609, 103232, 61786, 115867, 102803, 102514, 48634, 16144, 45736, 30813, 29295, 17885, 118, 58942, 104533, 111243, 104712, 77219, 125651, 40620, 198, 30591, 109669, 64121, 98369, 5486, 114001, 21403, 232, 33334, 127814, 33121, 103826, 38641, 9174, 19732, 111243, 104257, 121370, 26854, 114001, 21403, 232, 16556, 53508, 231, 104195, 115717, 79721, 106609, 30591, 109669, 64121, 98369, 5486, 104257, 121370, 26854, 114001, 21403, 232, 97135, 16995, 79721, 9174, 99695, 33710, 102741, 96452, 30512, 116700, 56051, 59739, 123731, 16556, 56051, 29295, 5486, 105755, 118789, 112535, 116700, 54926, 105908, 27384, 102769, 118816, 103350, 99750, 121256, 66327, 23187, 8107, 123470, 103087, 35083, 30512, 106767, 103792, 111482, 10646, 126194, 36896, 23187, 8107, 123470, 103087, 35083, 30512, 106767, 103792, 17792, 37087, 33014, 10646, 121254, 107674, 77219, 101983, 107462, 104533, 114001, 21403, 232, 30512, 109768, 90620, 102532, 95221, 109669, 50834, 79721, 9174, 48249, 109115, 88435, 9039, 107809, 16556, 5486, 67645, 16144, 105494, 30512, 21403, 232, 31431, 5486, 67645, 16144, 105494, 30512, 19012, 246, 31431, 17297, 102639, 38144, 102181, 47884, 104865, 115515, 18904, 16995, 90620, 102334, 39880, 45923, 66953, 112900, 30512, 21990, 32149, 39926, 5486, 105755, 44915, 16144, 127919, 16995, 77219, 29295, 102181, 105784, 104466, 22398, 62903, 33710, 122060, 109768, 105898, 16995, 106046, 61689, 9174, 64121, 26854, 98369, 32977, 5486, 104840, 121867, 33334, 112690, 97135, 61689, 6447, 112185, 112185, 39442, 109809, 77181, 57903, 33541, 29295, 5486, 37026, 22023, 115717, 79721, 6447, 128001, 128000, 108729, 112535, 85188, 22649, 101559, 106081, 111186, 114556, 103801, 39926, 15682, 5486, 22398, 103621, 29220, 45736, 111108, 87844, 27479, 16556, 123231, 1811, 127706, 96455, 16144, 115274, 15682, 5486, 107963, 101832, 605, 113127, 116787, 33541, 1811, 107118, 78244, 58942, 112160, 18904, 103378, 16144, 106081, 111186, 77181, 30591, 121140, 117119, 8107, 111201, 78183, 28713, 76947, 127706, 122635, 30512, 30832, 64467, 17663, 105879, 105693, 33503, 108048, 39607, 71289, 110615, 100909, 111769, 38641, 9174, 13870, 223, 106528, 101559, 98369, 20230, 31640, 78183, 30369, 127331, 33503, 119432, 112424, 46729, 103306, 5486, 112424, 109606, 16556, 110482, 103836, 17792, 126130, 46034, 108044, 16995, 54926, 106592, 106529, 30297, 65743, 25333, 102181, 101559, 16144, 118013, 104157, 30590, 15682, 5486, 112607, 105578, 101182, 103087, 35083, 20230, 123680, 102639, 102204, 33541, 109900, 103378, 20230, 5486, 103087, 35083, 106081, 111186, 16144, 111108, 87844, 27479, 32977, 120019, 16906, 111, 102800, 102944, 116787, 33541, 9174, 51330, 19360, 116229, 109853, 15682, 5486, 102321, 107734, 126250, 76706, 109526, 235, 30512, 103792, 102718, 102669, 91779, 105, 118368, 16144, 107338, 102181, 101559, 29295, 5486, 107338, 102181, 101559, 106081, 111186, 16556, 127706, 30512, 104284, 43514, 18655, 104028, 37656, 102800, 53508, 231, 104195, 25333, 30512, 39135, 104680, 126362, 39926, 5486, 53900, 103826, 104680, 26854, 107338, 102181, 101559, 103087, 35083, 114363, 103722, 16144, 118597, 114341, 103605, 16144, 108936, 101682, 76622, 16144, 103826, 45829, 5486, 40526, 47260, 101198, 108134, 104309, 104309, 30512, 37823, 60868, 113335, 15024, 5486, 19012, 110, 107121, 103792, 111234, 52884, 116229, 38641, 9174, 37087, 38144, 106063, 48864, 110191, 102540, 16556, 48864, 104369, 102677, 5486, 64209, 16144, 104195, 30813 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 47884, 61689, 29295, 5486, 87447, 101275, 54926, 103846, 102052, 83747, 103470, 107173, 17, 104297, 15682, 115181, 39926, 33334, 50834, 17129, 109954, 106609, 109880, 117896, 32977, 111482, 107898, 125683, 62004, 26854, 114667, 5486, 106382, 11883, 71289, 82973, 5486, 39850, 37823, 67075, 104309, 30512, 50338, 108323, 103801, 109954, 9174, 23187, 8107, 74482, 32977, 117876, 123410, 111482, 107898, 125683, 62004, 16144, 103087, 35083, 123011, 62004, 198, 9039, 43240, 47884, 101182, 103087, 35083, 107809, 55031, 5486, 23187, 8107, 123470, 117876, 20230, 76706, 32149, 122101, 103087, 35083, 30512, 106767, 17663, 104468, 5486, 33014, 48634, 32977, 82973, 32977, 21403, 232, 124195, 103801, 61689, 9174, 110924, 16556, 33671, 16144, 46702, 59739, 29295, 120098, 121711, 33541, 9174, 12, 106030, 114676, 101083, 31640, 20230, 78683, 106240, 107407, 198, 12, 124939, 104612, 71289, 109431, 34171, 30512, 76706, 32149, 17663, 198, 12, 110124, 229, 35083, 115181, 16144, 113173, 30512, 104662, 109315, 198, 12, 121619, 50928, 112649, 117295, 82973, 71289, 106382, 11883, 30512, 102178, 111665, 54926, 198, 51330, 19, 118821, 120098, 126130, 30813, 105262, 121142, 108149, 112568, 20230, 32335, 109431, 26854, 103087, 35083, 29295, 102647, 102802, 126172, 115737, 31431, 33541, 57980, 9174, 37271, 18904, 126362, 56051, 103087, 35083, 109853, 32977, 5486, 121846, 116446, 64121, 38144, 72315, 101832, 9174, 127587, 241, 72342, 42891, 32149, 47884, 104257, 121370, 20230, 37823, 60868, 113335, 84389, 101732, 105879, 5486, 110382, 16556, 112825, 110904, 107898, 125683, 62004, 16144, 103087, 35083, 30512, 23964, 229, 40089, 102181, 50834, 16556, 46239, 121256, 9174, 12, 220, 75910, 106528, 107430, 102351, 85707, 49988, 30046, 101772, 23951, 198, 12, 42579, 227, 30590, 26892, 53953, 18655, 73686, 101559, 198, 12, 119767, 38093, 33563, 117126, 8239, 112, 102781, 101559, 198, 12, 125389, 104654, 39880, 45923, 119732, 119534, 198, 12, 122827, 25197, 96452, 16073, 123618, 57326, 93488, 118567, 198, 103087, 35083, 16144, 115181, 113468, 5486, 23187, 8107, 123470, 111482, 29295, 76706, 109526, 235, 108608, 117876, 16144, 121507, 57942, 95, 15682, 108285, 29295, 31431, 33541, 9174, 53900, 5486, 117876, 121142, 103470, 5486, 53283, 109375, 29295, 115079, 105262, 118733, 85701, 117758, 104654, 29295, 119515, 32149, 115717, 33541, 57980, 9174, 23187, 8107, 123470, 17039, 102800, 104654, 30512, 101067, 66201, 21105, 103, 29295, 33503, 5486, 112371, 104328, 103087, 35083, 115181, 30512, 30832, 64467, 39926, 64121, 38144, 72315, 101832, 9174, 105465, 106624, 122502, 105784, 117876, 29295, 91774, 59739, 107277, 33541, 104466, 9174, 114626, 103296, 33334, 98499, 64121, 115962, 50834, 97135, 16995, 79721, 9174, 127066, 98499, 30046, 20230, 108385, 31431, 114001, 30297, 83125, 29295, 19732, 111243, 104622, 106624, 38144, 5486, 103232, 61786, 98369, 112197, 17792, 120910, 29295, 108044, 116547, 33541, 101832, 1811, 98499, 104127, 57980, 102518, 119150, 112661, 56965, 38641, 9174, 106649, 16995, 77219, 103306, 123011, 109315, 102052, 5486, 108134, 33857, 29295, 43240, 47884, 38144, 27384, 104721, 103351, 106046, 61689, 9174, 107943, 16325, 5486, 104257, 121370, 20230, 37823, 60868, 113335, 84389, 100481, 38144, 78183, 107277, 126172, 47884, 123011, 62004, 109115, 120266, 19732, 111243, 121602, 50834, 79721, 106609, 23226, 107436, 116043, 116882, 33334, 59739, 32149, 33121, 30813, 103296, 56051, 9174, 567, 68042, 73590, 15682, 117896, 55031, 104405, 108422, 198, 567, 68042, 73590, 124720, 43444, 22, 14558, 23954, 6109, 77219, 103306, 19732, 111243, 64531, 103836, 77219, 16556, 5486, 121602, 50834, 79721, 9174, 10110, 114001, 21403, 232, 21105, 103, 29295, 33503, 115408, 116907, 32977, 125821, 53508, 231, 104195, 21105, 103, 118145, 19732, 95543, 66870, 121256, 34910, 12, 61, 26, 23954, 47307, 78983, 114615, 122382, 24273, 71289, 116043, 116882, 33710, 64178, 16144, 114140, 104309, 21105, 96, 107277, 84389, 100481, 38144, 5486, 102803, 103906, 94550, 113115, 54926, 103232, 61786, 115867, 89151, 99046, 107, 126738, 120208, 29295, 108044, 78183, 30369, 77219, 125651, 9174, 13177, 23187, 8107, 74482, 59712, 117876, 59712, 111482, 59712, 103087, 35083, 117503, 62903, 25005, 107, 65575, 15682, 108134, 29295, 43240, 47884, 38144, 5486, 64531, 22649, 39926, 109823, 16144, 19113, 9039, 20230, 123011, 109315, 104468, 27384, 104721, 103351, 106046, 61689, 29295, 5486, 108134, 30512, 78183, 107277, 126172, 47884, 123011, 62004, 102204, 100481, 79721, 9174, 103359, 47523, 16144, 98499, 30046, 29295, 5486, 23187, 8107, 30512, 115412, 8107, 123090, 103851, 107800, 17792, 26854, 104865, 30512, 118789, 112535, 116700, 127564, 5486, 122270, 105284, 16144, 126574, 77219, 108176, 125396, 30512, 112391, 33541, 9174, 85701, 117758, 103232, 61786, 115867, 102803, 102514, 103306, 16144, 48154, 76706, 109526, 235, 30512, 105465, 21105, 123, 116446, 61689, 106609, 37271, 18904, 16144, 114001, 21403, 232, 29295, 37271, 123470, 103232, 61786, 115867, 102803, 102514, 103306, 16144, 22398, 62903, 33710, 122060, 20230, 114715, 72661, 33334, 107734, 20230, 121697, 33541, 104466, 9174, 72238, 114737, 26854, 77219, 30512, 97135, 16995, 79721, 106609, 103232, 61786, 98369, 5486, 116043, 116882, 33334, 127814, 33121, 30813, 103296, 56051, 106609, 98499, 30046, 20230, 108385, 31431, 114001, 30297, 105933, 105494, 29295, 5486, 110229, 67645, 107404, 20230, 112391, 110071, 114318, 111243, 104622, 102800, 77219, 125651, 9174, 28713, 19732, 58942, 13177, 16995, 17129, 115143, 103087, 35083, 114016, 16449, 10646, 106046, 106358, 103306, 32977, 5486, 117896, 16144, 77219, 30512, 98499, 64121, 105721, 78183, 100472, 74482, 102052, 13177, 113461, 32149, 86127, 105352, 103082, 102131, 66383, 91763, 110027, 38144, 124089, 105933, 5486, 72238, 114737, 26854, 77219, 16556, 56051, 9174, 103232, 61786, 117940, 5486, 50834, 104043, 5486, 121771, 98369, 104257, 121370, 20230, 37823, 60868, 113335, 103646, 104127, 109954, 101832, 9174, 83125, 32977, 5486, 79982, 112535, 78183, 107277, 126172, 47884, 102181, 32149, 33121, 107991, 102944, 29295, 43240, 47884, 114318, 111243, 98499, 64121, 126172, 102518, 38641, 106609, 85701, 55031, 32977, 5486, 112371, 104328, 102803, 102514, 30512, 106307, 107441, 72315, 101832, 40620, 198, 103232, 61786, 115867, 102803, 102514, 17792, 21990, 29295, 119883, 32149, 102800, 102944, 121711, 33541, 104466, 106609, 30591, 109669, 64121, 98369, 5486, 114001, 21403, 232, 33334, 127814, 33121, 30813, 103296, 56051, 9174, 19732, 111243, 78183, 107277, 126172, 16995, 114001, 21403, 232, 16556, 56051, 9174, 80539, 108149, 109669, 64121, 115867, 104622, 102800, 33334, 17792, 120910, 29295, 108044, 78183, 76947, 50834, 79721, 9174, 103232, 61786, 19361, 105351, 98369, 5486, 116043, 116882, 33334, 127814, 33121, 30813, 103296, 56051, 9174, 37823, 60868, 113335, 48634, 16144, 45736, 30813, 5486, 108134, 16144, 64531, 22649, 16144, 106548, 24273, 5486, 19967, 101275, 31634, 108761, 20230, 117989, 103836, 100909, 104309, 5486, 2984, 102803, 102514, 16144, 117876, 30512, 113954, 110731, 24273, 118816, 78183, 107277, 33541, 9174, 48249, 109115, 88435, 9039, 16556, 85701, 103378, 16144, 108134, 30512, 109466, 31431, 104526, 104004, 102052, 5486, 112690, 30512, 16906, 111, 102647, 39926, 83125, 30512, 21403, 232, 105557, 102936, 103646, 16144, 111769, 123253, 32149, 9174, 22398, 26269, 62903, 37823, 103306, 98499, 64121, 126172, 16995, 83125, 118816, 112391, 79721, 9174, 103232, 61786, 121944, 20379, 56051, 19, 118821, 120098, 15682, 5486, 23187, 8107, 104088, 16423, 107290, 103087, 35083, 115181, 30512, 78698, 105262, 17905, 16556, 19732, 111243, 104712, 45893, 15024, 30369, 103854, 115717, 33541, 101832, 9174, 98499, 30046, 20230, 107734, 80195, 59739, 17663, 81219, 114420, 77219, 36785, 106046, 61689, 9174, 85701, 55031, 32977, 102803, 102514, 103306, 122270, 107850, 109526, 235, 107001, 106592, 33334, 55228, 230, 31431, 127145, 106609, 50, 6542, 20230, 48154, 110284, 108112, 30813, 31431, 97135, 16995, 79721, 9174, 30591, 109669, 64121, 98369, 5486, 17663, 81219, 114420, 114001, 21403, 232, 16556, 56051, 9174, 33334, 127814, 33121, 30813, 103296, 56051, 106609, 103232, 61786, 19361, 105351, 98369, 5486, 116043, 116882, 33334, 127814, 33121, 103826, 16556, 56051, 106609, 98499, 30046, 20230, 107734, 80195, 59739, 108134, 30512, 21105, 96, 107277, 37823, 60868, 113335, 116216, 5486, 109823, 16144, 88435, 9039, 20230, 17620, 107277, 126172, 47884, 123011, 62004, 102204, 100481, 79721, 101832, 106609, 108134, 29295, 127181, 19732, 5486, 67645, 16144, 105494, 30512, 76706, 32149, 17663, 32149, 21105, 96, 107277, 84851, 8067, 110, 21105, 103, 29295, 33503, 77219, 19967, 31431, 30512, 21105, 103, 16995, 19732, 101544, 16995, 83125, 117084, 103801, 61689, 123794, 9174, 123682, 19361, 105351, 117940, 108048, 30512, 21105, 96, 107277, 19732, 23039, 26854, 106358, 105879, 5486, 72238, 116366, 114420, 26854, 106046, 16995, 79721, 9174, 77219, 16144, 44915, 32977, 5486, 23187, 8107, 123470, 103087, 35083, 102677, 118733, 115847, 55031, 114099, 102669, 56051, 16995, 107493, 109440, 103836, 98499, 30046, 98369, 20230, 108385, 31431, 114001, 100472, 57933, 108941, 16556, 55999, 99750, 121256, 9174, 86127, 32977, 5486, 45163, 37507, 102416, 70141, 107441, 83747, 21105, 248, 59739, 105994, 20230, 106084, 30369, 103087, 35083, 15682, 67645, 33121, 32149, 104873, 115694, 64121, 101200, 106046, 61689, 9174, 19361, 105351, 115867, 37271, 123470, 102803, 102514, 112415, 30512, 106608, 110238, 127145, 106609, 30591, 109669, 64121, 98369, 114001, 21403, 232, 33334, 127814, 33121, 103826, 16556, 56051, 9174, 19732, 111243, 104257, 121370, 26854, 114001, 21403, 232, 19732, 111243, 53508, 231, 104195, 115717, 79721, 106609, 103232, 61786, 19361, 105351, 98369, 5486, 116043, 116882, 33334, 127814, 33121, 30813, 103296, 56051, 106609, 108134, 29295, 104603, 72369, 26269, 19732, 127919, 123332, 103646, 77219, 16556, 114318, 111243, 98499, 64121, 126172, 102518, 38641, 9174, 68759, 118331, 107908, 30512, 98499, 64121, 104526, 104127, 16995, 33503, 42891, 116826, 104533, 107173, 20230, 111476, 103232, 61786, 115867, 37823, 60868, 113335, 48634, 71289, 102803, 103906, 94550, 22398, 62903, 114615, 45736, 30813, 30512, 112391, 79721, 9174, 104622, 102800, 112690, 16556, 98499, 112919, 105068, 16325, 30512, 110408, 39926, 47884, 106824, 61689, 101832, 9174, 30591, 109669, 64121, 98369, 112197, 42891, 116826, 30369, 104466, 5486, 99695, 33710, 102741, 96452, 30512, 118789, 112535, 116700, 54926, 107173, 42891, 102083, 16995, 77219, 101983, 104533, 114284, 79721, 9174, 37823, 78525, 91062, 114652, 98499, 109315, 72238, 114737, 26854, 77219, 30512, 97135, 16995, 79721, 9174, 78183, 107277, 126172, 47884, 38144, 104622, 21105, 243, 30591, 105104, 104028, 114001, 21403, 232, 5486, 53508, 231, 104195, 115717, 33541, 9174, 103232, 61786, 19361, 105351, 98369, 5486, 116043, 116882, 33334, 127814, 33121, 103826, 38641, 9174, 21105, 96, 107277, 37823, 60868, 113335, 103646, 112973, 108044, 78183, 76947, 50834, 79721, 9174, 66378, 20230, 5486, 103087, 35083, 16144, 102647, 102802, 24273, 16144, 110229, 71289, 118789, 109904, 103087, 35083, 16144, 48154, 126362, 15682, 19732, 111243, 121846, 115717, 79721, 9174, 5245, 15, 19113, 113314, 102677, 44416, 103664, 107407, 26854, 32149, 16556, 110382, 103296, 127919, 16995, 44915, 16144, 77219, 30512, 102181, 105784, 110115, 121602, 50834, 38641, 106609, 103232, 61786, 115867, 102803, 102514, 48634, 16144, 45736, 30813, 29295, 17885, 118, 58942, 104533, 111243, 104712, 77219, 125651, 40620, 198, 30591, 109669, 64121, 98369, 5486, 114001, 21403, 232, 33334, 127814, 33121, 103826, 38641, 9174, 19732, 111243, 104257, 121370, 26854, 114001, 21403, 232, 16556, 53508, 231, 104195, 115717, 79721, 106609, 30591, 109669, 64121, 98369, 5486, 104257, 121370, 26854, 114001, 21403, 232, 97135, 16995, 79721, 9174, 99695, 33710, 102741, 96452, 30512, 116700, 56051, 59739, 123731, 16556, 56051, 29295, 5486, 105755, 118789, 112535, 116700, 54926, 105908, 27384, 102769, 118816, 103350, 99750, 121256, 66327, 23187, 8107, 123470, 103087, 35083, 30512, 106767, 103792, 111482, 10646, 126194, 36896, 23187, 8107, 123470, 103087, 35083, 30512, 106767, 103792, 17792, 37087, 33014, 10646, 121254, 107674, 77219, 101983, 107462, 104533, 114001, 21403, 232, 30512, 109768, 90620, 102532, 95221, 109669, 50834, 79721, 9174, 48249, 109115, 88435, 9039, 107809, 16556, 5486, 67645, 16144, 105494, 30512, 21403, 232, 31431, 5486, 67645, 16144, 105494, 30512, 19012, 246, 31431, 17297, 102639, 38144, 102181, 47884, 104865, 115515, 18904, 16995, 90620, 102334, 39880, 45923, 66953, 112900, 30512, 21990, 32149, 39926, 5486, 105755, 44915, 16144, 127919, 16995, 77219, 29295, 102181, 105784, 104466, 22398, 62903, 33710, 122060, 109768, 105898, 16995, 106046, 61689, 9174, 64121, 26854, 98369, 32977, 5486, 104840, 121867, 33334, 112690, 97135, 61689, 6447, 112185, 112185, 39442, 109809, 77181, 57903, 33541, 29295, 5486, 37026, 22023, 115717, 79721, 6447, 128001, 128000, 108729, 112535, 85188, 22649, 101559, 106081, 111186, 114556, 103801, 39926, 15682, 5486, 22398, 103621, 29220, 45736, 111108, 87844, 27479, 16556, 123231, 1811, 127706, 96455, 16144, 115274, 15682, 5486, 107963, 101832, 605, 113127, 116787, 33541, 1811, 107118, 78244, 58942, 112160, 18904, 103378, 16144, 106081, 111186, 77181, 30591, 121140, 117119, 8107, 111201, 78183, 28713, 76947, 127706, 122635, 30512, 30832, 64467, 17663, 105879, 105693, 33503, 108048, 39607, 71289, 110615, 100909, 111769, 38641, 9174, 13870, 223, 106528, 101559, 98369, 20230, 31640, 78183, 30369, 127331, 33503, 119432, 112424, 46729, 103306, 5486, 112424, 109606, 16556, 110482, 103836, 17792, 126130, 46034, 108044, 16995, 54926, 106592, 106529, 30297, 65743, 25333, 102181, 101559, 16144, 118013, 104157, 30590, 15682, 5486, 112607, 105578, 101182, 103087, 35083, 20230, 123680, 102639, 102204, 33541, 109900, 103378, 20230, 5486, 103087, 35083, 106081, 111186, 16144, 111108, 87844, 27479, 32977, 120019, 16906, 111, 102800, 102944, 116787, 33541, 9174, 51330, 19360, 116229, 109853, 15682, 5486, 102321, 107734, 126250, 76706, 109526, 235, 30512, 103792, 102718, 102669, 91779, 105, 118368, 16144, 107338, 102181, 101559, 29295, 5486, 107338, 102181, 101559, 106081, 111186, 16556, 127706, 30512, 104284, 43514, 18655, 104028, 37656, 102800, 53508, 231, 104195, 25333, 30512, 39135, 104680, 126362, 39926, 5486, 53900, 103826, 104680, 26854, 107338, 102181, 101559, 103087, 35083, 114363, 103722, 16144, 118597, 114341, 103605, 16144, 108936, 101682, 76622, 16144, 103826, 45829, 5486, 40526, 47260, 101198, 108134, 104309, 104309, 30512, 37823, 60868, 113335, 15024, 5486, 19012, 110, 107121, 103792, 111234, 52884, 116229, 38641, 9174, 37087, 38144, 106063, 48864, 110191, 102540, 16556, 48864, 104369, 102677, 5486, 64209, 16144, 104195, 30813 ]
[ 15682, 124897, 29295, 5486, 101923, 116907, 16144, 22398, 70563, 65575, 16556, 53508, 231, 104195, 56051, 16995, 106046, 103836, 107707, 126465, 38641, 19732, 5486, 67645, 112384, 32149, 102083, 116285, 65743, 25333, 102181, 101559, 16144, 118597, 114341, 103605, 30512, 102647, 102189, 24273, 29295, 5486, 76537, 76947, 126268, 16144, 53508, 231, 104195, 25333, 102083, 105262, 32149, 106046, 61689, 9174, 53508, 231, 104195, 82973, 29295, 9080, 40053, 112535, 111338, 58911, 105184, 33563, 54926, 105908, 108608, 101682, 111186, 21990, 127303, 104984, 5486, 103572, 120691, 109904, 53508, 231, 104195, 25333, 16556, 71289, 31431, 33035, 17663, 118733, 5486, 107338, 102181, 101559, 106081, 111186, 16556, 127706, 30512, 50928, 30369, 115789, 31540, 119627, 5486, 8107, 29295, 33503, 8107, 16325, 117876, 9458, 46729, 30926, 104309, 82973, 112535, 44416, 103664, 77195, 107407, 102677, 24273, 102052, 5486, 102321, 103350, 109904, 39880, 107420, 113335, 77181, 77121, 16995, 107515, 9174, 37271, 43240, 119064, 24273, 104680, 29295, 5486, 126909, 2822, 13, 16, 107338, 102181, 101559, 16144, 127706, 103296, 16144, 50520, 111, 102800, 33014, 111186, 61304, 108565, 104309, 30512, 5486, 111338, 58911, 124773, 123437, 67075, 50667, 16556, 98499, 126559, 114667, 102677, 104468, 5486, 102717, 109416, 120953, 16995, 100472, 53508, 231, 104195, 25333, 71289, 105335, 106696, 29295, 48154, 105994, 113115, 39926, 106384, 67075, 54926, 104865, 5486, 101128, 102, 126559, 55031, 111769, 123253, 32149, 9174, 71289, 112043, 31431, 85188, 22649, 101559, 106081, 111186, 114475, 105784, 102052, 121270, 108968, 103268, 79982, 26854, 108167, 103214, 64121, 115287, 33503, 127706, 118765, 5486, 111108, 87844, 27479, 16144, 126574, 103087, 35083, 106081, 111186, 118816, 78698, 107290, 108086, 33541, 1811, 92776, 43514, 114715, 72661, 33655, 105262, 82973, 122291, 33503, 112366, 48249, 20230, 107740, 39926, 106081, 111186, 53508, 231, 104195, 20230, 108167, 103214, 102189, 114754, 113702, 127706, 107294, 105722, 30369, 106081, 111186, 126529, 38641, 9174, 103350, 104983, 20230, 118597, 104378, 107898, 50834, 17129, 39926, 15682, 5486, 100927, 103234, 16144, 61648, 27479, 29295, 107693, 26854, 57942, 251, 38641, 1811, 110589, 102802, 15682, 78239, 71289, 53900, 111234, 52884, 113245, 110191, 118372, 55487, 22023, 123160, 106482, 66201, 124905, 100472, 114341, 103605, 32977, 119515, 105469, 119627, 5486, 65743, 25333, 102181, 101559, 16144, 114363, 103722, 104575, 112212, 5486, 116718, 26854, 44915, 15682, 104364, 108901, 115991, 33541, 9174, 33420, 106382, 85188, 25333, 107809, 96356, 15682, 5486, 85188, 22649, 101559, 106081, 111186, 16144, 70626, 118322, 32943, 77181, 5486, 107943, 105352, 111108, 87844, 27479, 15682, 45736, 62004, 77181, 30591, 121140, 5486, 85707, 105564, 109904, 107218, 123, 61304, 16144, 53283, 109375, 55031, 62903, 78459, 16073, 19732, 102178, 111665, 109768, 104984, 5486, 43511, 19732, 57106, 115694, 111108, 27479, 32977, 103167, 47884, 112825, 110904, 20230, 5486, 127706, 106053, 23187, 30512, 50928, 30369, 105908, 106084, 30369, 102083, 58942, 33541, 9174, 118597, 104378, 10110, 118597, 114341, 103605, 7705, 118816, 5486, 85188, 22649, 101559, 106081, 111186, 20230, 58254, 252, 100472, 117271, 116876, 22324, 30512, 47406, 104812, 100, 20230, 108167, 121247, 103836, 5486, 85188, 22649, 101559, 70141, 76622, 16144, 57933, 62903, 71634, 100927, 103234, 29295, 108167, 21441, 225, 103836, 103846, 5486, 106063, 48864, 16556, 103130, 109315, 126036, 48864, 108710, 15120, 89046, 16144, 89753, 33121, 29295, 107391, 108981, 15024, 126172, 47884, 38144, 5486, 53508, 231, 104195, 29295, 110480, 104873, 20230, 103130, 104004, 19732, 113727, 33541, 9174, 108152, 38248, 255, 68581, 16073, 36668, 113497, 16144, 107338, 102181, 101559, 103359, 47523, 16144, 104378, 114341, 103605, 15682, 5486, 121410, 8107, 107963, 101832, 25963, 32307, 17792, 113314, 20230, 101682, 114341, 29295, 84389, 100481, 38144, 5486, 37087, 61994, 53283, 109375, 114792, 107462, 100604, 24273, 108995, 19732, 5486, 115200, 108623, 104195, 47884, 106444, 103087, 35083, 29295, 19732, 104028, 103296, 16144, 103188, 39607, 30512, 115364, 102944, 20230, 108608, 102083, 100472, 108948, 53508, 100, 62004, 16144, 118597, 114341, 103605, 16556, 123231, 9174, 112672, 85188, 22649, 101559, 106081, 111186, 30512, 15682, 100204, 62004, 55031, 106063, 48864, 16556, 114099, 104004, 109335, 110745, 104721, 111108, 97518, 119627, 108048, 72661, 108167, 103214, 115226, 19732, 113727, 100934, 24273, 15682, 5486, 103983, 20230, 38093, 82420, 20230, 103204, 54926, 70626, 118146, 68759, 115332, 54926, 100909, 55031, 100815, 46034, 112990, 103424, 117714, 111769, 32149, 106046, 123671, 33541, 9174, 123532, 25580, 15682, 107338, 102181, 101559, 106081, 111186, 114475, 111186, 56051, 103306, 32977, 5486, 43511, 105755, 125261, 9554, 127706, 30512, 50928, 102204, 126172, 16995, 103087, 35083, 114016, 95604, 104466, 117952, 106824, 108086, 79721, 29295, 5486, 60358, 8107, 107898, 50834, 17129, 39926, 15682, 102700, 106624, 111108, 87844, 27479, 29295, 45736, 47884, 5486, 120065, 71289, 27929, 104043, 104446, 127706, 54926, 105908, 110482, 111108, 103195, 102677, 103087, 35083, 112028, 59739, 115717, 33541, 9174, 65743, 25333, 106081, 111186, 19732, 112361, 105933, 53508, 231, 104195, 25333, 103195, 107803, 5486, 116254, 90397, 233, 20230, 17129, 42891, 115143, 26854, 65743, 25333, 102181, 101559, 106081, 111186, 116771, 20230, 120766, 54926, 114363, 101275, 16144, 101682, 111186, 21990, 105755, 5486, 20251, 108337, 114615, 53508, 231, 104195, 33857, 29295, 104735, 101, 27384, 115717, 126172, 16995, 38641, 109900, 121142, 103470, 112624, 102780, 108608, 113702, 15682, 50928, 102204, 101860, 5486, 47260, 71634, 19732, 8239, 114503, 16144, 116690, 29295, 39880, 113155, 119930, 38641, 9174, 103350, 104983, 20230, 106444, 106081, 111186, 16144, 85188, 22649, 101559, 106081, 111186, 16144, 127706, 96455, 114556, 39926, 15682, 110745, 57980, 27929, 605, 113127, 30591, 28713, 111842, 5486, 111108, 87844, 27479, 44971, 115882, 29295, 45736, 62004, 19732, 53283, 125398, 116446, 15682, 5486, 127706, 96455, 29295, 45736, 62004, 104856, 76947, 61689, 1811, 119627, 112160, 102404, 104284, 109972, 16556, 127706, 30512, 103350, 102321, 54926, 104468, 5486, 102717, 109416, 16937, 88367, 26854, 100909, 19732, 78244, 114598, 103188, 78244, 77181, 124897, 1811, 128001, 128000, 123113, 5232, 36117, 251, 40526, 105298, 41920, 198, 85707, 107436, 36117, 251, 40526, 105298, 41920, 123113, 16144, 120366, 30512, 114181, 79721, 9174, 120267, 117735, 111769, 16144, 119627, 5486, 127032, 16144, 119400, 55031, 120766, 112990, 79785, 29295, 104655, 22957, 58942, 103470, 109020, 105284, 16556, 5486, 59739, 108064, 16995, 15120, 87217, 91774, 126172, 16995, 106390, 55723, 16144, 118370, 41401, 20230, 89753, 33121, 100481, 76947, 103801, 76947, 109861, 55723, 30512, 37087, 61994, 114181, 126386, 16144, 38641, 9174, 111199, 111338, 80866, 123113, 106942, 109853, 52884, 77750, 16556, 77219, 30512, 102181, 47884, 104983, 20230, 110745, 33014, 103892, 107809, 16556, 102181, 47884, 106592, 104662, 107436, 55031, 22656, 104309, 20230, 40265, 28713, 103836, 16144, 119627, 124620, 105424, 121359, 1049, 21, 8107, 7705, 72661, 44620, 111418, 115195, 16144, 104412, 121359, 679, 20, 8107, 7705, 72661, 110371, 44620, 106786, 9953, 53953, 102158, 36761, 20230, 78244, 82317, 56051, 83125, 122291, 105879, 5486, 114181, 100604, 104856, 108861, 5486, 107118, 91763, 107462, 79721, 9174, 67645, 33121, 32977, 7190, 121, 124121, 92148, 248, 126529, 119627, 124620, 111418, 115195, 16144, 104412, 36761, 15682, 5486, 55723, 28190, 16144, 105665, 55031, 23039, 111371, 30512, 110480, 20230, 111371, 109768, 47884, 102446, 20834, 71289, 5486, 111418, 115195, 29295, 107875, 55038, 103306, 118430, 118095, 20230, 120955, 54926, 110229, 29295, 104409, 127280, 1811, 44620, 105424, 36761, 102052, 108048, 126036, 43240, 119064, 55999, 33035, 28542, 29295, 91774, 101682, 76622, 102204, 79721, 1811, 67645, 112384, 32977, 122768, 35417, 19732, 122768, 35417, 114556, 78183, 30369, 41920, 107707, 58850, 125334, 38144, 50834, 33541, 29295, 5486, 120366, 16144, 114626, 117083, 7190, 121, 124121, 16144, 102494, 101335, 42634, 38248, 108, 29295, 125639, 109913, 78183, 76947, 61689, 1811, 44620, 106786, 9953, 53953, 102158, 36761, 30512, 114181, 100481, 38144, 44620, 105424, 36761, 30512, 114181, 127567, 5486, 27929, 120240, 16144, 102494, 101335, 42634, 38248, 108, 11571, 6447, 19732, 121602, 16995, 90620, 103950, 106046, 61689, 1811, 122571, 110480, 87217, 29295, 116900, 103351, 105879, 5486, 110219, 15682, 102131, 120572, 26854, 5486, 22957, 120240, 16144, 102494, 101335, 42634, 38248, 108, 120572, 26854, 5486, 106046, 16995, 79721, 1811, 27929, 32977, 27929, 32977, 7190, 121, 124121, 16144, 102494, 101335, 42634, 38248, 108, 16556, 120366, 30512, 105721, 78183, 103950, 117408, 112973, 12870, 226, 16995, 102404, 101067, 38641, 1811, 111199, 111338, 123113, 15682, 78183, 107277, 33541, 1811, 36117, 251, 40526, 123113, 29295, 110577, 20230, 71289, 103836, 105879, 25580, 27452, 107407, 15024, 5486, 104712, 108995, 5486, 119150, 104468, 78183, 107277, 33541, 1811, 109606, 15682, 36117, 251, 40526, 123113, 38641, 123794, 1811, 105321, 16144, 109606, 36785, 124233, 107277, 107515, 29295, 9174, 27929, 32977, 27929, 32977, 102494, 101335, 42634, 38248, 108, 76947, 120366, 123727, 113679, 15682, 112832, 32977, 108870, 20230, 21105, 103, 16995, 5486, 117896, 10110, 114181, 65854, 7705, 121254, 107441, 102404, 72342, 125398, 112690, 38641, 1811, 44620, 106786, 9953, 53953, 102158, 36761, 16144, 102625, 102189, 109297, 16144, 102494, 101335, 42634, 38248, 108, 15682, 5486, 108618, 103646, 101908, 113115, 54926, 102944, 103306, 102158, 124195, 61689, 29295, 5486, 114181, 65854, 29295, 108623, 47884, 127303, 103950, 110901, 112568, 7, 109297, 8, 15682, 77693, 16556, 57980, 102518, 104865, 66383, 95604, 114284, 20230, 103899, 107800, 102944, 117084, 61689, 1811, 103359, 39926, 44620, 105424, 36761, 16144, 102494, 101335, 42634, 38248, 108, 15682, 5486, 64121, 103171, 121254, 107441, 102404, 72342, 109115, 102625, 112919, 110022, 37689, 19732, 72661, 95604, 105933, 16937, 95221, 103868, 26854, 102944, 16556, 56051, 118844, 15682, 124620, 106786, 9953, 53953, 102158, 36761, 117158, 38144, 109749, 5486, 27929, 32977, 27929, 102944, 91875, 101513, 29295, 16937, 31958, 26854, 102625, 124121, 16144, 58850, 16144, 102494, 101335, 42634, 38248, 108, 103306, 32977, 121432, 54926, 112690, 38641, 1811, 115406, 19732, 30591, 112568, 10110, 44620, 106786, 9953, 53953, 102158, 36761, 121960, 15682, 109297, 19732, 101908, 65459, 102677, 116690, 34171, 107809, 55031, 102404, 72342, 110071, 112690, 15682, 53953, 102158, 16144, 109337, 101544, 101911, 17905, 16556, 113954, 54926, 105908, 106084, 30369, 16144, 119627, 5486, 115406, 19732, 64121, 103171, 5486, 101983, 104533, 108968, 79982, 20230, 78183, 55031, 123733, 31431, 33541, 101832, 1811, 7190, 121, 124121, 16144, 78244, 91875, 29295, 53953, 102158, 16144, 109337, 101544, 101911, 17905, 16556, 113954, 54926, 105908, 106084, 100604, 104468, 5486, 7190, 121, 124121, 29295, 64121, 103171, 30512, 120007, 20230, 103792, 55031, 26854, 104865, 110241, 33121, 107515, 1811, 27929, 32977, 27929, 32977, 5486, 117896, 32977, 15120, 106885, 112586, 7190, 121, 124121, 103306, 114732, 16144, 38641, 55031, 108149, 112384, 10110, 7190, 121, 124121, 7705, 32977, 15120, 106885, 112586, 64121, 103171, 10110, 21990, 30046, 7705, 103306, 102532, 32977, 33334, 32149, 106624, 100604, 104466, 91763, 61689, 1811, 109860, 44620, 105424, 36761, 77181, 36896, 122571, 102625, 20230, 79721, 1811, 109860, 64121, 103171, 32977, 102625, 104127, 72315, 66383, 95604, 112690, 26854, 104865, 110241, 33121, 107515, 1811, 102494, 101335, 42634, 38248, 108, 107118, 5486, 64121, 103171, 121254, 107441, 102404, 72342, 110071, 25580, 29172, 16144, 112690, 109860, 5486, 64121, 103171, 19732, 50021, 103359, 103792, 102944, 10110, 7190, 121, 124121, 7705, 29295, 5486, 64121, 103171, 121254, 107674, 112690, 30512, 102404, 54926, 112973, 45893, 22649, 20230, 107188, 103836, 104865, 110241, 33121, 107515, 9174, 59739, 33503, 59739, 33503, 106046, 108064, 102334, 106592, 102181, 16995, 101732, 33503, 5486, 101544, 115737, 31431, 79721, 9174, 44620, 106786, 9953, 53953, 102158, 36761, 16144, 99750, 101067, 30512, 102181, 102532, 33334, 50834, 33541, 9174, 17663, 48154, 47884, 28190, 101828, 102518, 38641, 1811, 114181, 100934, 121142, 105465, 102800, 120366, 16556, 56051, 9174, 104371, 47523, 20230, 108618, 103836, 104468, 5486, 122768, 35417, 101908, 122924, 19732, 58426, 127032, 19732, 108416, 101908, 122924, 29295, 5486, 106670, 16556, 121786, 32648, 30512, 105525, 112586, 104412, 80195, 118821, 119627, 106116, 108968, 126867, 105970, 17905, 16556, 56235, 83812, 232, 20230, 71289, 109115, 106670, 103892, 117158, 38093, 16995, 110371, 106670, 104412, 29295, 109688, 117126, 118816, 122225, 56051, 101908, 29295, 5486, 109297, 19732, 127032, 30512, 111418, 20230, 17297, 39926, 46729, 20230, 112454, 76947, 75293, 59739, 104466, 64467, 20379, 54926, 75267, 28190, 38641, 1811, 95598, 9080, 25580, 74482, 127564, 105994, 32977, 114941, 30369, 114318, 119852, 106670, 30512, 121406, 101908, 20230, 5486, 109297, 15682, 111418, 115195, 20230, 117989, 76947, 91774, 37705, 31431, 106272, 13177, 95221, 116825, 107441, 72315, 101832, 66383, 27384, 112495, 71174, 16556, 17, 18904, 78244, 61689, 115397, 121022, 16144, 103283, 33121, 16144, 75267, 28190, 30512, 110240, 119188, 16144, 119627, 106116, 111418, 115195, 16144, 109297, 19732, 127032, 30512, 15017, 231, 107800, 102895, 67075, 29295, 101544, 102334, 62004, 20230, 5486, 114181, 100934, 30046, 15682, 115847, 29295, 37271, 21990, 16144, 103283, 33121, 118816, 95221, 109669, 32149, 84389, 33541, 1811, 103760, 106759, 20230, 109972, 104369, 123671, 106272, 127032, 32977, 118133, 104503, 104702, 11972, 25827, 10646, 76947, 18, 18904, 112844, 116233, 57980, 1811, 108031, 12870, 226, 47884, 116292, 102800, 75267, 28190, 38641, 109807, 102895, 67075, 29295, 105721, 78183, 110104, 105908, 67645, 124592, 25827, 116292, 108740, 30512, 105184, 23187, 109904, 102944, 20230, 109768, 50834, 33541, 9174, 43511, 105352, 5486, 105268, 101462, 255, 102677, 123524, 16144, 102625, 124121, 29295, 122768, 35417, 16144, 25580, 16556, 5486, 123524, 16144, 111528, 103760, 16144, 20321, 113, 20321, 114, 15120, 22656, 20230, 114146, 38144, 104261, 19732, 107875, 30512, 24326, 104, 105651, 54926, 75267, 28190, 107407, 16144, 119627, 106116, 75267, 28190, 20230, 108968, 16325, 55031, 117681, 19732, 17925, 249, 19732, 71208, 16144, 104261, 71174, 29295, 30358, 26854, 31431, 33541, 1811, 30358, 26854, 100472, 74482, 32977, 21105, 108, 124749, 58426, 110674, 26854, 105879, 5486, 25132, 108, 116310, 95221, 30512, 121406, 124122, 102446, 20834, 32149, 106046, 100472, 33503, 5486, 105268, 101462, 255, 29295, 105047, 20230, 17486, 107, 58942 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 15682, 124897, 29295, 5486, 101923, 116907, 16144, 22398, 70563, 65575, 16556, 53508, 231, 104195, 56051, 16995, 106046, 103836, 107707, 126465, 38641, 19732, 5486, 67645, 112384, 32149, 102083, 116285, 65743, 25333, 102181, 101559, 16144, 118597, 114341, 103605, 30512, 102647, 102189, 24273, 29295, 5486, 76537, 76947, 126268, 16144, 53508, 231, 104195, 25333, 102083, 105262, 32149, 106046, 61689, 9174, 53508, 231, 104195, 82973, 29295, 9080, 40053, 112535, 111338, 58911, 105184, 33563, 54926, 105908, 108608, 101682, 111186, 21990, 127303, 104984, 5486, 103572, 120691, 109904, 53508, 231, 104195, 25333, 16556, 71289, 31431, 33035, 17663, 118733, 5486, 107338, 102181, 101559, 106081, 111186, 16556, 127706, 30512, 50928, 30369, 115789, 31540, 119627, 5486, 8107, 29295, 33503, 8107, 16325, 117876, 9458, 46729, 30926, 104309, 82973, 112535, 44416, 103664, 77195, 107407, 102677, 24273, 102052, 5486, 102321, 103350, 109904, 39880, 107420, 113335, 77181, 77121, 16995, 107515, 9174, 37271, 43240, 119064, 24273, 104680, 29295, 5486, 126909, 2822, 13, 16, 107338, 102181, 101559, 16144, 127706, 103296, 16144, 50520, 111, 102800, 33014, 111186, 61304, 108565, 104309, 30512, 5486, 111338, 58911, 124773, 123437, 67075, 50667, 16556, 98499, 126559, 114667, 102677, 104468, 5486, 102717, 109416, 120953, 16995, 100472, 53508, 231, 104195, 25333, 71289, 105335, 106696, 29295, 48154, 105994, 113115, 39926, 106384, 67075, 54926, 104865, 5486, 101128, 102, 126559, 55031, 111769, 123253, 32149, 9174, 71289, 112043, 31431, 85188, 22649, 101559, 106081, 111186, 114475, 105784, 102052, 121270, 108968, 103268, 79982, 26854, 108167, 103214, 64121, 115287, 33503, 127706, 118765, 5486, 111108, 87844, 27479, 16144, 126574, 103087, 35083, 106081, 111186, 118816, 78698, 107290, 108086, 33541, 1811, 92776, 43514, 114715, 72661, 33655, 105262, 82973, 122291, 33503, 112366, 48249, 20230, 107740, 39926, 106081, 111186, 53508, 231, 104195, 20230, 108167, 103214, 102189, 114754, 113702, 127706, 107294, 105722, 30369, 106081, 111186, 126529, 38641, 9174, 103350, 104983, 20230, 118597, 104378, 107898, 50834, 17129, 39926, 15682, 5486, 100927, 103234, 16144, 61648, 27479, 29295, 107693, 26854, 57942, 251, 38641, 1811, 110589, 102802, 15682, 78239, 71289, 53900, 111234, 52884, 113245, 110191, 118372, 55487, 22023, 123160, 106482, 66201, 124905, 100472, 114341, 103605, 32977, 119515, 105469, 119627, 5486, 65743, 25333, 102181, 101559, 16144, 114363, 103722, 104575, 112212, 5486, 116718, 26854, 44915, 15682, 104364, 108901, 115991, 33541, 9174, 33420, 106382, 85188, 25333, 107809, 96356, 15682, 5486, 85188, 22649, 101559, 106081, 111186, 16144, 70626, 118322, 32943, 77181, 5486, 107943, 105352, 111108, 87844, 27479, 15682, 45736, 62004, 77181, 30591, 121140, 5486, 85707, 105564, 109904, 107218, 123, 61304, 16144, 53283, 109375, 55031, 62903, 78459, 16073, 19732, 102178, 111665, 109768, 104984, 5486, 43511, 19732, 57106, 115694, 111108, 27479, 32977, 103167, 47884, 112825, 110904, 20230, 5486, 127706, 106053, 23187, 30512, 50928, 30369, 105908, 106084, 30369, 102083, 58942, 33541, 9174, 118597, 104378, 10110, 118597, 114341, 103605, 7705, 118816, 5486, 85188, 22649, 101559, 106081, 111186, 20230, 58254, 252, 100472, 117271, 116876, 22324, 30512, 47406, 104812, 100, 20230, 108167, 121247, 103836, 5486, 85188, 22649, 101559, 70141, 76622, 16144, 57933, 62903, 71634, 100927, 103234, 29295, 108167, 21441, 225, 103836, 103846, 5486, 106063, 48864, 16556, 103130, 109315, 126036, 48864, 108710, 15120, 89046, 16144, 89753, 33121, 29295, 107391, 108981, 15024, 126172, 47884, 38144, 5486, 53508, 231, 104195, 29295, 110480, 104873, 20230, 103130, 104004, 19732, 113727, 33541, 9174, 108152, 38248, 255, 68581, 16073, 36668, 113497, 16144, 107338, 102181, 101559, 103359, 47523, 16144, 104378, 114341, 103605, 15682, 5486, 121410, 8107, 107963, 101832, 25963, 32307, 17792, 113314, 20230, 101682, 114341, 29295, 84389, 100481, 38144, 5486, 37087, 61994, 53283, 109375, 114792, 107462, 100604, 24273, 108995, 19732, 5486, 115200, 108623, 104195, 47884, 106444, 103087, 35083, 29295, 19732, 104028, 103296, 16144, 103188, 39607, 30512, 115364, 102944, 20230, 108608, 102083, 100472, 108948, 53508, 100, 62004, 16144, 118597, 114341, 103605, 16556, 123231, 9174, 112672, 85188, 22649, 101559, 106081, 111186, 30512, 15682, 100204, 62004, 55031, 106063, 48864, 16556, 114099, 104004, 109335, 110745, 104721, 111108, 97518, 119627, 108048, 72661, 108167, 103214, 115226, 19732, 113727, 100934, 24273, 15682, 5486, 103983, 20230, 38093, 82420, 20230, 103204, 54926, 70626, 118146, 68759, 115332, 54926, 100909, 55031, 100815, 46034, 112990, 103424, 117714, 111769, 32149, 106046, 123671, 33541, 9174, 123532, 25580, 15682, 107338, 102181, 101559, 106081, 111186, 114475, 111186, 56051, 103306, 32977, 5486, 43511, 105755, 125261, 9554, 127706, 30512, 50928, 102204, 126172, 16995, 103087, 35083, 114016, 95604, 104466, 117952, 106824, 108086, 79721, 29295, 5486, 60358, 8107, 107898, 50834, 17129, 39926, 15682, 102700, 106624, 111108, 87844, 27479, 29295, 45736, 47884, 5486, 120065, 71289, 27929, 104043, 104446, 127706, 54926, 105908, 110482, 111108, 103195, 102677, 103087, 35083, 112028, 59739, 115717, 33541, 9174, 65743, 25333, 106081, 111186, 19732, 112361, 105933, 53508, 231, 104195, 25333, 103195, 107803, 5486, 116254, 90397, 233, 20230, 17129, 42891, 115143, 26854, 65743, 25333, 102181, 101559, 106081, 111186, 116771, 20230, 120766, 54926, 114363, 101275, 16144, 101682, 111186, 21990, 105755, 5486, 20251, 108337, 114615, 53508, 231, 104195, 33857, 29295, 104735, 101, 27384, 115717, 126172, 16995, 38641, 109900, 121142, 103470, 112624, 102780, 108608, 113702, 15682, 50928, 102204, 101860, 5486, 47260, 71634, 19732, 8239, 114503, 16144, 116690, 29295, 39880, 113155, 119930, 38641, 9174, 103350, 104983, 20230, 106444, 106081, 111186, 16144, 85188, 22649, 101559, 106081, 111186, 16144, 127706, 96455, 114556, 39926, 15682, 110745, 57980, 27929, 605, 113127, 30591, 28713, 111842, 5486, 111108, 87844, 27479, 44971, 115882, 29295, 45736, 62004, 19732, 53283, 125398, 116446, 15682, 5486, 127706, 96455, 29295, 45736, 62004, 104856, 76947, 61689, 1811, 119627, 112160, 102404, 104284, 109972, 16556, 127706, 30512, 103350, 102321, 54926, 104468, 5486, 102717, 109416, 16937, 88367, 26854, 100909, 19732, 78244, 114598, 103188, 78244, 77181, 124897, 1811, 128001, 128000, 123113, 5232, 36117, 251, 40526, 105298, 41920, 198, 85707, 107436, 36117, 251, 40526, 105298, 41920, 123113, 16144, 120366, 30512, 114181, 79721, 9174, 120267, 117735, 111769, 16144, 119627, 5486, 127032, 16144, 119400, 55031, 120766, 112990, 79785, 29295, 104655, 22957, 58942, 103470, 109020, 105284, 16556, 5486, 59739, 108064, 16995, 15120, 87217, 91774, 126172, 16995, 106390, 55723, 16144, 118370, 41401, 20230, 89753, 33121, 100481, 76947, 103801, 76947, 109861, 55723, 30512, 37087, 61994, 114181, 126386, 16144, 38641, 9174, 111199, 111338, 80866, 123113, 106942, 109853, 52884, 77750, 16556, 77219, 30512, 102181, 47884, 104983, 20230, 110745, 33014, 103892, 107809, 16556, 102181, 47884, 106592, 104662, 107436, 55031, 22656, 104309, 20230, 40265, 28713, 103836, 16144, 119627, 124620, 105424, 121359, 1049, 21, 8107, 7705, 72661, 44620, 111418, 115195, 16144, 104412, 121359, 679, 20, 8107, 7705, 72661, 110371, 44620, 106786, 9953, 53953, 102158, 36761, 20230, 78244, 82317, 56051, 83125, 122291, 105879, 5486, 114181, 100604, 104856, 108861, 5486, 107118, 91763, 107462, 79721, 9174, 67645, 33121, 32977, 7190, 121, 124121, 92148, 248, 126529, 119627, 124620, 111418, 115195, 16144, 104412, 36761, 15682, 5486, 55723, 28190, 16144, 105665, 55031, 23039, 111371, 30512, 110480, 20230, 111371, 109768, 47884, 102446, 20834, 71289, 5486, 111418, 115195, 29295, 107875, 55038, 103306, 118430, 118095, 20230, 120955, 54926, 110229, 29295, 104409, 127280, 1811, 44620, 105424, 36761, 102052, 108048, 126036, 43240, 119064, 55999, 33035, 28542, 29295, 91774, 101682, 76622, 102204, 79721, 1811, 67645, 112384, 32977, 122768, 35417, 19732, 122768, 35417, 114556, 78183, 30369, 41920, 107707, 58850, 125334, 38144, 50834, 33541, 29295, 5486, 120366, 16144, 114626, 117083, 7190, 121, 124121, 16144, 102494, 101335, 42634, 38248, 108, 29295, 125639, 109913, 78183, 76947, 61689, 1811, 44620, 106786, 9953, 53953, 102158, 36761, 30512, 114181, 100481, 38144, 44620, 105424, 36761, 30512, 114181, 127567, 5486, 27929, 120240, 16144, 102494, 101335, 42634, 38248, 108, 11571, 6447, 19732, 121602, 16995, 90620, 103950, 106046, 61689, 1811, 122571, 110480, 87217, 29295, 116900, 103351, 105879, 5486, 110219, 15682, 102131, 120572, 26854, 5486, 22957, 120240, 16144, 102494, 101335, 42634, 38248, 108, 120572, 26854, 5486, 106046, 16995, 79721, 1811, 27929, 32977, 27929, 32977, 7190, 121, 124121, 16144, 102494, 101335, 42634, 38248, 108, 16556, 120366, 30512, 105721, 78183, 103950, 117408, 112973, 12870, 226, 16995, 102404, 101067, 38641, 1811, 111199, 111338, 123113, 15682, 78183, 107277, 33541, 1811, 36117, 251, 40526, 123113, 29295, 110577, 20230, 71289, 103836, 105879, 25580, 27452, 107407, 15024, 5486, 104712, 108995, 5486, 119150, 104468, 78183, 107277, 33541, 1811, 109606, 15682, 36117, 251, 40526, 123113, 38641, 123794, 1811, 105321, 16144, 109606, 36785, 124233, 107277, 107515, 29295, 9174, 27929, 32977, 27929, 32977, 102494, 101335, 42634, 38248, 108, 76947, 120366, 123727, 113679, 15682, 112832, 32977, 108870, 20230, 21105, 103, 16995, 5486, 117896, 10110, 114181, 65854, 7705, 121254, 107441, 102404, 72342, 125398, 112690, 38641, 1811, 44620, 106786, 9953, 53953, 102158, 36761, 16144, 102625, 102189, 109297, 16144, 102494, 101335, 42634, 38248, 108, 15682, 5486, 108618, 103646, 101908, 113115, 54926, 102944, 103306, 102158, 124195, 61689, 29295, 5486, 114181, 65854, 29295, 108623, 47884, 127303, 103950, 110901, 112568, 7, 109297, 8, 15682, 77693, 16556, 57980, 102518, 104865, 66383, 95604, 114284, 20230, 103899, 107800, 102944, 117084, 61689, 1811, 103359, 39926, 44620, 105424, 36761, 16144, 102494, 101335, 42634, 38248, 108, 15682, 5486, 64121, 103171, 121254, 107441, 102404, 72342, 109115, 102625, 112919, 110022, 37689, 19732, 72661, 95604, 105933, 16937, 95221, 103868, 26854, 102944, 16556, 56051, 118844, 15682, 124620, 106786, 9953, 53953, 102158, 36761, 117158, 38144, 109749, 5486, 27929, 32977, 27929, 102944, 91875, 101513, 29295, 16937, 31958, 26854, 102625, 124121, 16144, 58850, 16144, 102494, 101335, 42634, 38248, 108, 103306, 32977, 121432, 54926, 112690, 38641, 1811, 115406, 19732, 30591, 112568, 10110, 44620, 106786, 9953, 53953, 102158, 36761, 121960, 15682, 109297, 19732, 101908, 65459, 102677, 116690, 34171, 107809, 55031, 102404, 72342, 110071, 112690, 15682, 53953, 102158, 16144, 109337, 101544, 101911, 17905, 16556, 113954, 54926, 105908, 106084, 30369, 16144, 119627, 5486, 115406, 19732, 64121, 103171, 5486, 101983, 104533, 108968, 79982, 20230, 78183, 55031, 123733, 31431, 33541, 101832, 1811, 7190, 121, 124121, 16144, 78244, 91875, 29295, 53953, 102158, 16144, 109337, 101544, 101911, 17905, 16556, 113954, 54926, 105908, 106084, 100604, 104468, 5486, 7190, 121, 124121, 29295, 64121, 103171, 30512, 120007, 20230, 103792, 55031, 26854, 104865, 110241, 33121, 107515, 1811, 27929, 32977, 27929, 32977, 5486, 117896, 32977, 15120, 106885, 112586, 7190, 121, 124121, 103306, 114732, 16144, 38641, 55031, 108149, 112384, 10110, 7190, 121, 124121, 7705, 32977, 15120, 106885, 112586, 64121, 103171, 10110, 21990, 30046, 7705, 103306, 102532, 32977, 33334, 32149, 106624, 100604, 104466, 91763, 61689, 1811, 109860, 44620, 105424, 36761, 77181, 36896, 122571, 102625, 20230, 79721, 1811, 109860, 64121, 103171, 32977, 102625, 104127, 72315, 66383, 95604, 112690, 26854, 104865, 110241, 33121, 107515, 1811, 102494, 101335, 42634, 38248, 108, 107118, 5486, 64121, 103171, 121254, 107441, 102404, 72342, 110071, 25580, 29172, 16144, 112690, 109860, 5486, 64121, 103171, 19732, 50021, 103359, 103792, 102944, 10110, 7190, 121, 124121, 7705, 29295, 5486, 64121, 103171, 121254, 107674, 112690, 30512, 102404, 54926, 112973, 45893, 22649, 20230, 107188, 103836, 104865, 110241, 33121, 107515, 9174, 59739, 33503, 59739, 33503, 106046, 108064, 102334, 106592, 102181, 16995, 101732, 33503, 5486, 101544, 115737, 31431, 79721, 9174, 44620, 106786, 9953, 53953, 102158, 36761, 16144, 99750, 101067, 30512, 102181, 102532, 33334, 50834, 33541, 9174, 17663, 48154, 47884, 28190, 101828, 102518, 38641, 1811, 114181, 100934, 121142, 105465, 102800, 120366, 16556, 56051, 9174, 104371, 47523, 20230, 108618, 103836, 104468, 5486, 122768, 35417, 101908, 122924, 19732, 58426, 127032, 19732, 108416, 101908, 122924, 29295, 5486, 106670, 16556, 121786, 32648, 30512, 105525, 112586, 104412, 80195, 118821, 119627, 106116, 108968, 126867, 105970, 17905, 16556, 56235, 83812, 232, 20230, 71289, 109115, 106670, 103892, 117158, 38093, 16995, 110371, 106670, 104412, 29295, 109688, 117126, 118816, 122225, 56051, 101908, 29295, 5486, 109297, 19732, 127032, 30512, 111418, 20230, 17297, 39926, 46729, 20230, 112454, 76947, 75293, 59739, 104466, 64467, 20379, 54926, 75267, 28190, 38641, 1811, 95598, 9080, 25580, 74482, 127564, 105994, 32977, 114941, 30369, 114318, 119852, 106670, 30512, 121406, 101908, 20230, 5486, 109297, 15682, 111418, 115195, 20230, 117989, 76947, 91774, 37705, 31431, 106272, 13177, 95221, 116825, 107441, 72315, 101832, 66383, 27384, 112495, 71174, 16556, 17, 18904, 78244, 61689, 115397, 121022, 16144, 103283, 33121, 16144, 75267, 28190, 30512, 110240, 119188, 16144, 119627, 106116, 111418, 115195, 16144, 109297, 19732, 127032, 30512, 15017, 231, 107800, 102895, 67075, 29295, 101544, 102334, 62004, 20230, 5486, 114181, 100934, 30046, 15682, 115847, 29295, 37271, 21990, 16144, 103283, 33121, 118816, 95221, 109669, 32149, 84389, 33541, 1811, 103760, 106759, 20230, 109972, 104369, 123671, 106272, 127032, 32977, 118133, 104503, 104702, 11972, 25827, 10646, 76947, 18, 18904, 112844, 116233, 57980, 1811, 108031, 12870, 226, 47884, 116292, 102800, 75267, 28190, 38641, 109807, 102895, 67075, 29295, 105721, 78183, 110104, 105908, 67645, 124592, 25827, 116292, 108740, 30512, 105184, 23187, 109904, 102944, 20230, 109768, 50834, 33541, 9174, 43511, 105352, 5486, 105268, 101462, 255, 102677, 123524, 16144, 102625, 124121, 29295, 122768, 35417, 16144, 25580, 16556, 5486, 123524, 16144, 111528, 103760, 16144, 20321, 113, 20321, 114, 15120, 22656, 20230, 114146, 38144, 104261, 19732, 107875, 30512, 24326, 104, 105651, 54926, 75267, 28190, 107407, 16144, 119627, 106116, 75267, 28190, 20230, 108968, 16325, 55031, 117681, 19732, 17925, 249, 19732, 71208, 16144, 104261, 71174, 29295, 30358, 26854, 31431, 33541, 1811, 30358, 26854, 100472, 74482, 32977, 21105, 108, 124749, 58426, 110674, 26854, 105879, 5486, 25132, 108, 116310, 95221, 30512, 121406, 124122, 102446, 20834, 32149, 106046, 100472, 33503, 5486, 105268, 101462, 255, 29295, 105047, 20230, 17486, 107, 58942 ]
[ 36785, 15024, 36896, 51330, 71174, 15682, 5486, 109988, 115737, 100472, 104503, 16144, 71174, 105321, 38641, 66383, 112844, 105879, 5486, 27929, 120240, 105352, 104655, 22957, 58942, 101732, 104865, 114318, 121602, 50834, 79721, 109807, 74482, 32977, 12870, 226, 47884, 38144, 5486, 106644, 121710, 31431, 71493, 127194, 29295, 78659, 20230, 127284, 39926, 99849, 107407, 104865, 106046, 100472, 33503, 107918, 16144, 122756, 16423, 58942, 109115, 109349, 100, 6708, 250, 29295, 45923, 107060, 6447, 108968, 102769, 110615, 117681, 19732, 17925, 249, 19732, 71208, 16144, 104261, 71174, 20230, 114146, 38144, 20321, 113, 20321, 114, 114792, 100472, 111528, 103760, 29295, 106644, 121710, 111842, 118013, 115442, 31431, 5486, 46729, 20230, 17129, 59739, 78183, 30369, 26203, 234, 17129, 78183, 102800, 103188, 86436, 30512, 102158, 31431, 121406, 1811, 102677, 112973, 125651, 5486, 101426, 19732, 79785, 16144, 114487, 64121, 26854, 102446, 20834, 16556, 89753, 104028, 104466, 103721, 233, 29295, 107462, 50834, 33541, 9174, 121786, 49792, 16144, 101908, 29295, 35330, 101268, 110, 76622, 125030, 31431, 59739, 32149, 106824, 109297, 19732, 55999, 20230, 85791, 47884, 85791, 30512, 18904, 17663, 10110, 102131, 16995, 116285, 44620, 103621, 125913, 14, 118331, 25005, 101, 105048, 16144, 111663, 121359, 2550, 15, 8107, 7705, 105352, 85791, 47884, 85791, 125334, 38144, 50834, 79721, 101832, 7705, 75267, 28190, 32977, 5486, 113487, 76622, 20834, 72342, 100604, 116043, 100815, 107809, 30512, 104699, 30369, 104699, 104533, 118220, 103809, 98, 99750, 20230, 104862, 126832, 120208, 20230, 107726, 102204, 33541, 1811, 113334, 16144, 78183, 124403, 101908, 16144, 118220, 103809, 98, 99750, 20230, 111602, 119760, 107001, 109297, 20230, 127032, 29295, 17, 18904, 108680, 123011, 116547, 59739, 102532, 5486, 105755, 15120, 114050, 110674, 105110, 100604, 118220, 103809, 98, 99750, 29295, 19012, 119, 50834, 121697, 102204, 33541, 9174, 43511, 105352, 39135, 104680, 101182, 16144, 119627, 124620, 105424, 36761, 110792, 55999, 33035, 28542, 16556, 109834, 103868, 102987, 16995, 104468, 5486, 122768, 35417, 16144, 109297, 29295, 102625, 104127, 7190, 121, 124121, 110276, 123090, 101908, 16144, 112772, 102321, 103468, 75267, 28190, 16556, 5486, 39135, 104680, 105693, 101544, 104412, 20230, 127814, 33121, 102769, 100472, 101908, 15682, 5486, 109297, 19732, 88356, 38093, 74482, 114225, 20230, 120379, 76947, 114732, 16144, 119627, 106116, 74482, 105352, 109297, 16144, 7190, 121, 124121, 15682, 58426, 75267, 28190, 20230, 104157, 106307, 107441, 5486, 23039, 111371, 30512, 111371, 39926, 13393, 251, 117876, 30512, 27704, 62004, 33541, 1811, 109297, 16144, 7190, 121, 124121, 15682, 101908, 16144, 111663, 111769, 16144, 38641, 1811, 44620, 105424, 36761, 72661, 7190, 121, 124121, 103195, 116497, 16144, 104149, 70277, 29295, 112160, 17792, 16556, 48915, 30512, 105564, 47884, 75267, 28190, 115991, 79721, 1811, 111199, 111338, 123113, 15682, 53610, 107809, 16144, 102616, 102677, 45893, 22649, 116825, 76622, 100481, 79721, 29295, 5486, 36117, 251, 40526, 123113, 29295, 51330, 105933, 110240, 62543, 126198, 104468, 26854, 112371, 26854, 105879, 109954, 32149, 113637, 104466, 110240, 102334, 114667, 15682, 78183, 124403, 16144, 119627, 114318, 111243, 99750, 91875, 54926, 75267, 28190, 38641, 1811, 109297, 29295, 111663, 103306, 101908, 16144, 103984, 112854, 16144, 102616, 20230, 107991, 113334, 126194, 5486, 91774, 58942, 100934, 110115, 5486, 103984, 112854, 16144, 48915, 16144, 102616, 29295, 21405, 102321, 110731, 55031, 99750, 91875, 54926, 104127, 109954, 32149, 1811, 120065, 37271, 16144, 110229, 78183, 124403, 119627, 5486, 115590, 20230, 99750, 91875, 78434, 9174, 102048, 234, 103293, 5486, 101634, 16144, 30046, 20230, 109297, 29295, 120175, 103787, 30046, 20230, 108055, 84389, 101732, 106592, 104655, 32149, 103646, 101908, 15682, 5486, 118288, 45114, 102, 38093, 100472, 109297, 29295, 103605, 106358, 116310, 127920, 118124, 20230, 60358, 109669, 50834, 5486, 16937, 91763, 104760, 120550, 28190, 110794, 16556, 118288, 45114, 102, 91774, 28713, 109297, 16144, 105068, 16325, 122291, 127303, 103950, 30591, 28713, 112586, 112909, 30591, 125655, 106548, 105301, 30512, 78434, 1811, 102625, 124121, 16144, 105268, 101462, 255, 29295, 122768, 35417, 16144, 105068, 126867, 102057, 233, 31431, 47000, 102532, 116043, 100815, 54926, 103826, 30512, 21405, 107113, 104466, 5486, 53900, 106116, 105068, 126867, 102676, 21418, 76622, 16144, 88435, 30512, 102923, 15024, 5486, 105268, 101462, 255, 16144, 116043, 100815, 30512, 64889, 43514, 102769, 100472, 100909, 55031, 110371, 106548, 105301, 20230, 101908, 16144, 109297, 113115, 54926, 116043, 100815, 29295, 91774, 107290, 116292, 106624, 26854, 31431, 33541, 9174, 17663, 48154, 47884, 28190, 101828, 47884, 5486, 114181, 100934, 121142, 105465, 102800, 120366, 126529, 119627, 5486, 116292, 106624, 109020, 120366, 38641, 1811, 128001, 128000, 110382, 55031, 22656, 17161, 38641, 9174, 102756, 105048, 9458, 102803, 52591, 9458, 66953, 119930, 102677, 112690, 30512, 108870, 20230, 56051, 105908, 101182, 106046, 61689, 1811, 64121, 26854, 117940, 102756, 105048, 9458, 102803, 52591, 9458, 66953, 119930, 107118, 127091, 53283, 76947, 61689, 32149, 95532, 102756, 105048, 9458, 102803, 52591, 9458, 66953, 119930, 15682, 74245, 117735, 112990, 36896, 117876, 19732, 104654, 16144, 104873, 34208, 66383, 95604, 115552, 38641, 118844, 103378, 30512, 104655, 126145, 117876, 19732, 104654, 16144, 82973, 30512, 103268, 104680, 20230, 126693, 103424, 117714, 11571, 119150, 32149, 110241, 33121, 107515, 29295, 5486, 102756, 105048, 9458, 102803, 52591, 9458, 66953, 119930, 29295, 103350, 102321, 103646, 106222, 107118, 90620, 117876, 19732, 104654, 16144, 82973, 30512, 103268, 104680, 20230, 56051, 106222, 102677, 115552, 77181, 124897, 9174, 102756, 105048, 9458, 102803, 52591, 9458, 66953, 119930, 29295, 103350, 102321, 103646, 106222, 107118, 112073, 29295, 71289, 31431, 29295, 114774, 105843, 103350, 99750, 30512, 112391, 106272, 122502, 50834, 5486, 117876, 17905, 16144, 113160, 49988, 30512, 28873, 28713, 17663, 19732, 107173, 20230, 5486, 118006, 71289, 119208, 104654, 104309, 121960, 32977, 5486, 45829, 101662, 38144, 23538, 121270, 45736, 8107, 23538, 102083, 100472, 17792, 21990, 16144, 102208, 38574, 106090, 20230, 106608, 100204, 38144, 43240, 103826, 26854, 123726, 24273, 29295, 121507, 9458, 103350, 102321, 108608, 106222, 16144, 100909, 38641, 9174, 13177, 17792, 21990, 16144, 121507, 57942, 95, 30512, 115079, 126172, 100909, 10646, 29295, 102756, 105048, 9458, 102803, 52591, 9458, 66953, 119930, 38641, 9174, 118789, 112535, 21405, 17663, 19732, 5486, 33671, 120950, 106222, 115717, 33541, 9174, 112599, 123085, 77181, 122502, 47884, 102677, 100909, 114556, 39926, 5486, 103826, 104680, 26854, 109606, 29295, 48706, 127145, 9174, 117876, 29295, 51385, 23187, 72342, 101860, 5486, 106613, 111587, 109904, 37026, 80195, 29295, 111108, 102800, 1811, 117876, 116749, 16144, 105494, 20230, 82973, 29295, 126929, 102204, 100604, 1811, 45829, 101662, 38144, 71289, 75910, 106528, 20230, 104862, 123671, 100481, 38144, 5486, 122502, 105898, 47884, 111243, 122502, 124324, 9174, 102159, 107707, 108623, 105262, 109606, 29295, 115079, 58942, 5486, 106222, 29295, 17792, 104680, 16144, 37689, 109375, 71289, 104654, 16144, 104721, 33208, 20230, 109431, 106608, 103082, 123733, 76947, 50834, 127280, 9174, 108895, 16995, 100472, 109606, 16144, 50338, 104662, 30512, 30832, 64467, 17663, 102944, 29295, 13177, 122502, 50834, 24273, 119254, 10646, 38641, 1811, 122502, 50834, 24273, 104088, 74245, 15024, 5486, 43240, 103826, 26854, 122502, 50834, 24273, 30512, 121507, 108608, 106222, 16144, 103350, 102321, 30512, 30832, 64467, 17663, 13177, 122502, 50834, 24273, 119254, 10646, 15682, 198, 102756, 105048, 9458, 102803, 52591, 9458, 66953, 119930, 112028, 108476, 72661, 57903, 33541, 9174, 13177, 122502, 50834, 24273, 119254, 10646, 16556, 19012, 110, 102639, 125398, 22649, 101067, 16144, 106222, 15682, 33671, 120950, 106222, 117084, 61689, 9174, 13177, 122502, 50834, 24273, 119254, 66383, 15682, 5486, 110904, 116254, 20230, 108618, 101275, 30512, 83747, 103470, 15024, 8239, 112, 122502, 82973, 30512, 21403, 232, 114485, 54926, 103378, 77181, 124897, 1811, 102159, 107707, 108623, 105262, 111681, 104482, 30512, 113797, 30358, 21105, 97, 59739, 43240, 103826, 26854, 123726, 24273, 30512, 121507, 54926, 105908, 108608, 106222, 126694, 30369, 113009, 36896, 122502, 50834, 24273, 119254, 10646, 117824, 30297, 109215, 115991, 33541, 9174, 114435, 125030, 76947, 17792, 103234, 16144, 105184, 33563, 15682, 83601, 104, 126238, 16144, 111681, 104482, 104856, 76947, 61689, 1811, 119515, 105469, 26854, 17792, 103234, 29295, 21441, 225, 116285, 5486, 108618, 101275, 16144, 21403, 232, 114485, 29295, 103130, 64121, 107430, 102351, 16144, 57326, 102803, 102832, 84477, 16144, 82973, 16144, 105184, 33563, 105352, 59739, 105722, 31431, 33541, 9174, 101662, 116581, 71289, 75910, 106528, 110792, 117876, 16144, 110176, 80195, 29295, 111108, 106624, 5486, 117876, 30512, 101790, 99, 109315, 114754, 83747, 103470, 124897, 1811, 45829, 101662, 38144, 71289, 75910, 106528, 16144, 106529, 16995, 46034, 15682, 111482, 29295, 127181, 112973, 102321, 103397, 38641, 1811, 108895, 16995, 100472, 127749, 30512, 23226, 106594, 54926, 103846, 102052, 5486, 101662, 116581, 105677, 88399, 229, 5486, 75910, 106528, 105677, 88399, 229, 123160, 126356, 112950, 21990, 5486, 57933, 44971, 102756, 105048, 123160, 115289, 122279, 26854, 122502, 50834, 24273, 29295, 27384, 102769, 38641, 9174, 53900, 5486, 118006, 32943, 77181, 123737, 16144, 101662, 116581, 109972, 106529, 71289, 75910, 106528, 109972, 106529, 30512, 115079, 71289, 15024, 5486, 111482, 103378, 126194, 123737, 32977, 101662, 116581, 105677, 88399, 229, 71289, 75910, 106528, 105677, 88399, 229, 29295, 40265, 115926, 25580, 119775, 115181, 108608, 117501, 30512, 64531, 104874, 54926, 118733, 5486, 17620, 106529, 111017, 40862, 30512, 117355, 114485, 15024, 106627, 107430, 96455, 30512, 17297, 102639, 30369, 100909, 105352, 59739, 105722, 31431, 33541, 9174, 102756, 105048, 9458, 102803, 52591, 9458, 66953, 119930, 15682, 107430, 75267, 37087, 33014, 16144, 102494, 78459, 102832, 38248, 115, 78205, 16073, 20230, 53901, 117375, 30512, 32977, 127567, 78434, 9174, 57326, 102803, 102832, 84477, 16144, 82973, 29295, 115079, 21601, 15024, 5486, 37823, 123646, 116219, 54926, 105908, 103082, 5486, 117876, 16144, 37689, 111654, 5486, 126120, 96455, 29295, 115079, 21601, 78434, 9174, 111482, 121142, 103470, 123737, 32977, 101662, 116581, 105677, 88399, 229, 30512, 76706, 11883, 15024, 126172, 16995, 121894, 117657, 105908, 107693, 115717, 33541, 9174, 123737, 16144, 101662, 116581, 105677, 88399, 229, 16144, 115181, 96455, 15682, 21, 13, 845, 80805, 38248, 119, 52414, 121780, 966, 110895, 7705, 19732, 111482, 20230, 57106, 103854, 5486, 103167, 16995, 115181, 96455, 104856, 103836, 9174, 123737, 107430, 102351, 29295, 101662, 116581, 105677, 88399, 229, 30512, 115181, 108608, 104466, 113096, 103130, 54926, 100909, 113468, 5486, 111482, 16144, 76706, 109526, 235, 102677, 122502, 50834, 24273, 119254, 16144, 103350, 102321, 107294, 105722, 31431, 33541, 9174, 107430, 102351, 16144, 104654, 9458, 122502, 50834, 24273, 20230, 106608, 100204, 38144, 5486, 114731, 102781, 82973, 20230, 43240, 103826, 34171, 114792, 28713, 122101, 105908, 107693, 115717, 33541, 9174, 106649, 82973, 121101, 72661, 107693, 26854, 121101, 30512, 126913, 108608, 104466, 5486, 88852, 119775, 108167, 103214, 104004, 105908, 19361, 126120, 38641, 9174, 964, 30512, 107740, 56051, 5486, 82973, 9458, 116245, 125030, 33503, 78183, 110615, 122502, 50834, 24273, 16556, 5486, 114435, 125030, 76947, 88852, 16144, 39850, 37823, 67075, 115991, 33541, 9174, 122502, 50834, 24273, 119254, 16144, 103350, 102321, 121254, 107674, 108167, 103214, 64121, 72661, 101182, 101544, 82973, 8239, 112, 122502, 16144, 21043, 37656, 15682, 123085, 114435, 20230, 111681, 103646, 57933, 108941, 72661, 57903, 33541, 9174, 17905, 61304, 16144, 108167, 103214, 64121, 30512, 121101, 23226, 106594, 19732, 107173, 120650, 30297, 118733, 5486, 107430, 102351, 29295, 43240, 103826, 16556, 115289, 122279, 20230, 122502, 105784, 117501, 107294, 105722, 31431, 33541, 9174, 105677, 88399, 229, 114305, 15682, 32977, 43514, 85791, 25827, 5486, 17905, 61304, 120950, 125175, 30512, 107740, 54926, 107803, 16144, 111983, 103129, 16144, 105843, 103350, 112212, 5486, 104654, 16144, 26854, 32149, 16556, 117876, 16144, 13153, 28873, 30512, 123680, 102639, 30369, 124122, 50834, 42891, 126929, 107294, 105722, 31431, 33541, 1811, 122270, 5486, 117876, 16144, 13153, 28873, 29295, 123680, 29295, 31431, 5486, 104654, 32977, 105843, 103350, 54926, 102677, 53901, 122523, 108476, 30512, 21990, 64121, 33541, 9174, 118544, 29295, 16556, 56051, 32149, 95532, 102756, 105048, 9458, 102803, 52591, 9458, 66953, 119930, 15682, 115847, 117758, 102433, 106222, 16556, 109215, 26854, 108167, 103214, 64121, 101983, 107462, 47884, 118733, 109954, 125939, 123470, 17792, 21990, 121960, 5486, 102756, 105048, 9458, 102803, 52591, 9458, 66953, 119930, 125001, 111201, 64121, 26854, 115867, 85701, 117758, 43240, 103826, 26854, 123726, 24273, 114556, 116547, 5486, 107693, 26854, 100909, 103195, 32149, 30512, 53283, 30369, 50834, 42891, 126929, 110276, 33503, 106515, 16995, 38641, 9174, 33334, 99397, 16995, 114146, 61826, 198, 125151, 111681, 102452, 5232, 119208, 109669, 47884, 31431, 84851, 103130, 34048, 108975, 122502, 84851, 103130, 111681, 109078, 58850, 119046, 74843, 55723, 120690, 198, 121604, 23530, 121604, 15120, 113576, 22, 87217, 16, 90581, 12405, 18476, 6187, 3861, 47307, 124049, 18, 106090, 128001, 128000, 13177, 120329, 66383, 127173, 106824, 108086, 123085, 32335, 102491, 16144, 78459, 106240, 118816, 113727, 124195, 61689, 1811, 9085, 246, 229, 15682, 112599, 16144, 78459, 106240, 16144, 19967, 31431, 24273, 107118, 108901, 26854, 31431, 5486, 109022, 111528, 30512, 101851, 106, 50520, 108, 107436, 19967, 100472, 10110, 112673, 38248, 108, 108958, 30512, 107608, 109013, 105933, 102944, 7705, 118816, 84851, 108867, 84389, 33541, 1811, 85997, 39177, 15682, 36827, 105600, 20230, 112500, 17905, 54926, 113009, 19967, 102204, 100481, 79721, 109807, 74482, 5486, 103787, 101559, 29295, 55038, 103892, 54926, 101200, 115717, 36896, 120329, 10646, 32977, 36785, 102189, 127842, 19967, 102204, 123733, 76947, 114604, 117840, 9174, 2, 113442, 106240, 30512, 126407, 104004, 198, 14711, 106555, 57933, 103621, 102540, 198, 78459, 106240, 16144, 102616, 198, 567, 105180, 16144, 78459, 106240, 16144, 114172, 102512, 118075, 198, 102433, 20230, 111528, 105107, 25446, 29295, 108044, 78183, 121118, 104468, 110776, 122088, 101402, 45829, 29295, 76706, 109526, 235, 56051, 5486, 107850, 116750, 113146, 19732, 117952, 106824, 61689, 113637, 119400, 16144, 78459, 106240, 15682, 198, 14711, 18630, 228, 235, 105194 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 36785, 15024, 36896, 51330, 71174, 15682, 5486, 109988, 115737, 100472, 104503, 16144, 71174, 105321, 38641, 66383, 112844, 105879, 5486, 27929, 120240, 105352, 104655, 22957, 58942, 101732, 104865, 114318, 121602, 50834, 79721, 109807, 74482, 32977, 12870, 226, 47884, 38144, 5486, 106644, 121710, 31431, 71493, 127194, 29295, 78659, 20230, 127284, 39926, 99849, 107407, 104865, 106046, 100472, 33503, 107918, 16144, 122756, 16423, 58942, 109115, 109349, 100, 6708, 250, 29295, 45923, 107060, 6447, 108968, 102769, 110615, 117681, 19732, 17925, 249, 19732, 71208, 16144, 104261, 71174, 20230, 114146, 38144, 20321, 113, 20321, 114, 114792, 100472, 111528, 103760, 29295, 106644, 121710, 111842, 118013, 115442, 31431, 5486, 46729, 20230, 17129, 59739, 78183, 30369, 26203, 234, 17129, 78183, 102800, 103188, 86436, 30512, 102158, 31431, 121406, 1811, 102677, 112973, 125651, 5486, 101426, 19732, 79785, 16144, 114487, 64121, 26854, 102446, 20834, 16556, 89753, 104028, 104466, 103721, 233, 29295, 107462, 50834, 33541, 9174, 121786, 49792, 16144, 101908, 29295, 35330, 101268, 110, 76622, 125030, 31431, 59739, 32149, 106824, 109297, 19732, 55999, 20230, 85791, 47884, 85791, 30512, 18904, 17663, 10110, 102131, 16995, 116285, 44620, 103621, 125913, 14, 118331, 25005, 101, 105048, 16144, 111663, 121359, 2550, 15, 8107, 7705, 105352, 85791, 47884, 85791, 125334, 38144, 50834, 79721, 101832, 7705, 75267, 28190, 32977, 5486, 113487, 76622, 20834, 72342, 100604, 116043, 100815, 107809, 30512, 104699, 30369, 104699, 104533, 118220, 103809, 98, 99750, 20230, 104862, 126832, 120208, 20230, 107726, 102204, 33541, 1811, 113334, 16144, 78183, 124403, 101908, 16144, 118220, 103809, 98, 99750, 20230, 111602, 119760, 107001, 109297, 20230, 127032, 29295, 17, 18904, 108680, 123011, 116547, 59739, 102532, 5486, 105755, 15120, 114050, 110674, 105110, 100604, 118220, 103809, 98, 99750, 29295, 19012, 119, 50834, 121697, 102204, 33541, 9174, 43511, 105352, 39135, 104680, 101182, 16144, 119627, 124620, 105424, 36761, 110792, 55999, 33035, 28542, 16556, 109834, 103868, 102987, 16995, 104468, 5486, 122768, 35417, 16144, 109297, 29295, 102625, 104127, 7190, 121, 124121, 110276, 123090, 101908, 16144, 112772, 102321, 103468, 75267, 28190, 16556, 5486, 39135, 104680, 105693, 101544, 104412, 20230, 127814, 33121, 102769, 100472, 101908, 15682, 5486, 109297, 19732, 88356, 38093, 74482, 114225, 20230, 120379, 76947, 114732, 16144, 119627, 106116, 74482, 105352, 109297, 16144, 7190, 121, 124121, 15682, 58426, 75267, 28190, 20230, 104157, 106307, 107441, 5486, 23039, 111371, 30512, 111371, 39926, 13393, 251, 117876, 30512, 27704, 62004, 33541, 1811, 109297, 16144, 7190, 121, 124121, 15682, 101908, 16144, 111663, 111769, 16144, 38641, 1811, 44620, 105424, 36761, 72661, 7190, 121, 124121, 103195, 116497, 16144, 104149, 70277, 29295, 112160, 17792, 16556, 48915, 30512, 105564, 47884, 75267, 28190, 115991, 79721, 1811, 111199, 111338, 123113, 15682, 53610, 107809, 16144, 102616, 102677, 45893, 22649, 116825, 76622, 100481, 79721, 29295, 5486, 36117, 251, 40526, 123113, 29295, 51330, 105933, 110240, 62543, 126198, 104468, 26854, 112371, 26854, 105879, 109954, 32149, 113637, 104466, 110240, 102334, 114667, 15682, 78183, 124403, 16144, 119627, 114318, 111243, 99750, 91875, 54926, 75267, 28190, 38641, 1811, 109297, 29295, 111663, 103306, 101908, 16144, 103984, 112854, 16144, 102616, 20230, 107991, 113334, 126194, 5486, 91774, 58942, 100934, 110115, 5486, 103984, 112854, 16144, 48915, 16144, 102616, 29295, 21405, 102321, 110731, 55031, 99750, 91875, 54926, 104127, 109954, 32149, 1811, 120065, 37271, 16144, 110229, 78183, 124403, 119627, 5486, 115590, 20230, 99750, 91875, 78434, 9174, 102048, 234, 103293, 5486, 101634, 16144, 30046, 20230, 109297, 29295, 120175, 103787, 30046, 20230, 108055, 84389, 101732, 106592, 104655, 32149, 103646, 101908, 15682, 5486, 118288, 45114, 102, 38093, 100472, 109297, 29295, 103605, 106358, 116310, 127920, 118124, 20230, 60358, 109669, 50834, 5486, 16937, 91763, 104760, 120550, 28190, 110794, 16556, 118288, 45114, 102, 91774, 28713, 109297, 16144, 105068, 16325, 122291, 127303, 103950, 30591, 28713, 112586, 112909, 30591, 125655, 106548, 105301, 30512, 78434, 1811, 102625, 124121, 16144, 105268, 101462, 255, 29295, 122768, 35417, 16144, 105068, 126867, 102057, 233, 31431, 47000, 102532, 116043, 100815, 54926, 103826, 30512, 21405, 107113, 104466, 5486, 53900, 106116, 105068, 126867, 102676, 21418, 76622, 16144, 88435, 30512, 102923, 15024, 5486, 105268, 101462, 255, 16144, 116043, 100815, 30512, 64889, 43514, 102769, 100472, 100909, 55031, 110371, 106548, 105301, 20230, 101908, 16144, 109297, 113115, 54926, 116043, 100815, 29295, 91774, 107290, 116292, 106624, 26854, 31431, 33541, 9174, 17663, 48154, 47884, 28190, 101828, 47884, 5486, 114181, 100934, 121142, 105465, 102800, 120366, 126529, 119627, 5486, 116292, 106624, 109020, 120366, 38641, 1811, 128001, 128000, 110382, 55031, 22656, 17161, 38641, 9174, 102756, 105048, 9458, 102803, 52591, 9458, 66953, 119930, 102677, 112690, 30512, 108870, 20230, 56051, 105908, 101182, 106046, 61689, 1811, 64121, 26854, 117940, 102756, 105048, 9458, 102803, 52591, 9458, 66953, 119930, 107118, 127091, 53283, 76947, 61689, 32149, 95532, 102756, 105048, 9458, 102803, 52591, 9458, 66953, 119930, 15682, 74245, 117735, 112990, 36896, 117876, 19732, 104654, 16144, 104873, 34208, 66383, 95604, 115552, 38641, 118844, 103378, 30512, 104655, 126145, 117876, 19732, 104654, 16144, 82973, 30512, 103268, 104680, 20230, 126693, 103424, 117714, 11571, 119150, 32149, 110241, 33121, 107515, 29295, 5486, 102756, 105048, 9458, 102803, 52591, 9458, 66953, 119930, 29295, 103350, 102321, 103646, 106222, 107118, 90620, 117876, 19732, 104654, 16144, 82973, 30512, 103268, 104680, 20230, 56051, 106222, 102677, 115552, 77181, 124897, 9174, 102756, 105048, 9458, 102803, 52591, 9458, 66953, 119930, 29295, 103350, 102321, 103646, 106222, 107118, 112073, 29295, 71289, 31431, 29295, 114774, 105843, 103350, 99750, 30512, 112391, 106272, 122502, 50834, 5486, 117876, 17905, 16144, 113160, 49988, 30512, 28873, 28713, 17663, 19732, 107173, 20230, 5486, 118006, 71289, 119208, 104654, 104309, 121960, 32977, 5486, 45829, 101662, 38144, 23538, 121270, 45736, 8107, 23538, 102083, 100472, 17792, 21990, 16144, 102208, 38574, 106090, 20230, 106608, 100204, 38144, 43240, 103826, 26854, 123726, 24273, 29295, 121507, 9458, 103350, 102321, 108608, 106222, 16144, 100909, 38641, 9174, 13177, 17792, 21990, 16144, 121507, 57942, 95, 30512, 115079, 126172, 100909, 10646, 29295, 102756, 105048, 9458, 102803, 52591, 9458, 66953, 119930, 38641, 9174, 118789, 112535, 21405, 17663, 19732, 5486, 33671, 120950, 106222, 115717, 33541, 9174, 112599, 123085, 77181, 122502, 47884, 102677, 100909, 114556, 39926, 5486, 103826, 104680, 26854, 109606, 29295, 48706, 127145, 9174, 117876, 29295, 51385, 23187, 72342, 101860, 5486, 106613, 111587, 109904, 37026, 80195, 29295, 111108, 102800, 1811, 117876, 116749, 16144, 105494, 20230, 82973, 29295, 126929, 102204, 100604, 1811, 45829, 101662, 38144, 71289, 75910, 106528, 20230, 104862, 123671, 100481, 38144, 5486, 122502, 105898, 47884, 111243, 122502, 124324, 9174, 102159, 107707, 108623, 105262, 109606, 29295, 115079, 58942, 5486, 106222, 29295, 17792, 104680, 16144, 37689, 109375, 71289, 104654, 16144, 104721, 33208, 20230, 109431, 106608, 103082, 123733, 76947, 50834, 127280, 9174, 108895, 16995, 100472, 109606, 16144, 50338, 104662, 30512, 30832, 64467, 17663, 102944, 29295, 13177, 122502, 50834, 24273, 119254, 10646, 38641, 1811, 122502, 50834, 24273, 104088, 74245, 15024, 5486, 43240, 103826, 26854, 122502, 50834, 24273, 30512, 121507, 108608, 106222, 16144, 103350, 102321, 30512, 30832, 64467, 17663, 13177, 122502, 50834, 24273, 119254, 10646, 15682, 198, 102756, 105048, 9458, 102803, 52591, 9458, 66953, 119930, 112028, 108476, 72661, 57903, 33541, 9174, 13177, 122502, 50834, 24273, 119254, 10646, 16556, 19012, 110, 102639, 125398, 22649, 101067, 16144, 106222, 15682, 33671, 120950, 106222, 117084, 61689, 9174, 13177, 122502, 50834, 24273, 119254, 66383, 15682, 5486, 110904, 116254, 20230, 108618, 101275, 30512, 83747, 103470, 15024, 8239, 112, 122502, 82973, 30512, 21403, 232, 114485, 54926, 103378, 77181, 124897, 1811, 102159, 107707, 108623, 105262, 111681, 104482, 30512, 113797, 30358, 21105, 97, 59739, 43240, 103826, 26854, 123726, 24273, 30512, 121507, 54926, 105908, 108608, 106222, 126694, 30369, 113009, 36896, 122502, 50834, 24273, 119254, 10646, 117824, 30297, 109215, 115991, 33541, 9174, 114435, 125030, 76947, 17792, 103234, 16144, 105184, 33563, 15682, 83601, 104, 126238, 16144, 111681, 104482, 104856, 76947, 61689, 1811, 119515, 105469, 26854, 17792, 103234, 29295, 21441, 225, 116285, 5486, 108618, 101275, 16144, 21403, 232, 114485, 29295, 103130, 64121, 107430, 102351, 16144, 57326, 102803, 102832, 84477, 16144, 82973, 16144, 105184, 33563, 105352, 59739, 105722, 31431, 33541, 9174, 101662, 116581, 71289, 75910, 106528, 110792, 117876, 16144, 110176, 80195, 29295, 111108, 106624, 5486, 117876, 30512, 101790, 99, 109315, 114754, 83747, 103470, 124897, 1811, 45829, 101662, 38144, 71289, 75910, 106528, 16144, 106529, 16995, 46034, 15682, 111482, 29295, 127181, 112973, 102321, 103397, 38641, 1811, 108895, 16995, 100472, 127749, 30512, 23226, 106594, 54926, 103846, 102052, 5486, 101662, 116581, 105677, 88399, 229, 5486, 75910, 106528, 105677, 88399, 229, 123160, 126356, 112950, 21990, 5486, 57933, 44971, 102756, 105048, 123160, 115289, 122279, 26854, 122502, 50834, 24273, 29295, 27384, 102769, 38641, 9174, 53900, 5486, 118006, 32943, 77181, 123737, 16144, 101662, 116581, 109972, 106529, 71289, 75910, 106528, 109972, 106529, 30512, 115079, 71289, 15024, 5486, 111482, 103378, 126194, 123737, 32977, 101662, 116581, 105677, 88399, 229, 71289, 75910, 106528, 105677, 88399, 229, 29295, 40265, 115926, 25580, 119775, 115181, 108608, 117501, 30512, 64531, 104874, 54926, 118733, 5486, 17620, 106529, 111017, 40862, 30512, 117355, 114485, 15024, 106627, 107430, 96455, 30512, 17297, 102639, 30369, 100909, 105352, 59739, 105722, 31431, 33541, 9174, 102756, 105048, 9458, 102803, 52591, 9458, 66953, 119930, 15682, 107430, 75267, 37087, 33014, 16144, 102494, 78459, 102832, 38248, 115, 78205, 16073, 20230, 53901, 117375, 30512, 32977, 127567, 78434, 9174, 57326, 102803, 102832, 84477, 16144, 82973, 29295, 115079, 21601, 15024, 5486, 37823, 123646, 116219, 54926, 105908, 103082, 5486, 117876, 16144, 37689, 111654, 5486, 126120, 96455, 29295, 115079, 21601, 78434, 9174, 111482, 121142, 103470, 123737, 32977, 101662, 116581, 105677, 88399, 229, 30512, 76706, 11883, 15024, 126172, 16995, 121894, 117657, 105908, 107693, 115717, 33541, 9174, 123737, 16144, 101662, 116581, 105677, 88399, 229, 16144, 115181, 96455, 15682, 21, 13, 845, 80805, 38248, 119, 52414, 121780, 966, 110895, 7705, 19732, 111482, 20230, 57106, 103854, 5486, 103167, 16995, 115181, 96455, 104856, 103836, 9174, 123737, 107430, 102351, 29295, 101662, 116581, 105677, 88399, 229, 30512, 115181, 108608, 104466, 113096, 103130, 54926, 100909, 113468, 5486, 111482, 16144, 76706, 109526, 235, 102677, 122502, 50834, 24273, 119254, 16144, 103350, 102321, 107294, 105722, 31431, 33541, 9174, 107430, 102351, 16144, 104654, 9458, 122502, 50834, 24273, 20230, 106608, 100204, 38144, 5486, 114731, 102781, 82973, 20230, 43240, 103826, 34171, 114792, 28713, 122101, 105908, 107693, 115717, 33541, 9174, 106649, 82973, 121101, 72661, 107693, 26854, 121101, 30512, 126913, 108608, 104466, 5486, 88852, 119775, 108167, 103214, 104004, 105908, 19361, 126120, 38641, 9174, 964, 30512, 107740, 56051, 5486, 82973, 9458, 116245, 125030, 33503, 78183, 110615, 122502, 50834, 24273, 16556, 5486, 114435, 125030, 76947, 88852, 16144, 39850, 37823, 67075, 115991, 33541, 9174, 122502, 50834, 24273, 119254, 16144, 103350, 102321, 121254, 107674, 108167, 103214, 64121, 72661, 101182, 101544, 82973, 8239, 112, 122502, 16144, 21043, 37656, 15682, 123085, 114435, 20230, 111681, 103646, 57933, 108941, 72661, 57903, 33541, 9174, 17905, 61304, 16144, 108167, 103214, 64121, 30512, 121101, 23226, 106594, 19732, 107173, 120650, 30297, 118733, 5486, 107430, 102351, 29295, 43240, 103826, 16556, 115289, 122279, 20230, 122502, 105784, 117501, 107294, 105722, 31431, 33541, 9174, 105677, 88399, 229, 114305, 15682, 32977, 43514, 85791, 25827, 5486, 17905, 61304, 120950, 125175, 30512, 107740, 54926, 107803, 16144, 111983, 103129, 16144, 105843, 103350, 112212, 5486, 104654, 16144, 26854, 32149, 16556, 117876, 16144, 13153, 28873, 30512, 123680, 102639, 30369, 124122, 50834, 42891, 126929, 107294, 105722, 31431, 33541, 1811, 122270, 5486, 117876, 16144, 13153, 28873, 29295, 123680, 29295, 31431, 5486, 104654, 32977, 105843, 103350, 54926, 102677, 53901, 122523, 108476, 30512, 21990, 64121, 33541, 9174, 118544, 29295, 16556, 56051, 32149, 95532, 102756, 105048, 9458, 102803, 52591, 9458, 66953, 119930, 15682, 115847, 117758, 102433, 106222, 16556, 109215, 26854, 108167, 103214, 64121, 101983, 107462, 47884, 118733, 109954, 125939, 123470, 17792, 21990, 121960, 5486, 102756, 105048, 9458, 102803, 52591, 9458, 66953, 119930, 125001, 111201, 64121, 26854, 115867, 85701, 117758, 43240, 103826, 26854, 123726, 24273, 114556, 116547, 5486, 107693, 26854, 100909, 103195, 32149, 30512, 53283, 30369, 50834, 42891, 126929, 110276, 33503, 106515, 16995, 38641, 9174, 33334, 99397, 16995, 114146, 61826, 198, 125151, 111681, 102452, 5232, 119208, 109669, 47884, 31431, 84851, 103130, 34048, 108975, 122502, 84851, 103130, 111681, 109078, 58850, 119046, 74843, 55723, 120690, 198, 121604, 23530, 121604, 15120, 113576, 22, 87217, 16, 90581, 12405, 18476, 6187, 3861, 47307, 124049, 18, 106090, 128001, 128000, 13177, 120329, 66383, 127173, 106824, 108086, 123085, 32335, 102491, 16144, 78459, 106240, 118816, 113727, 124195, 61689, 1811, 9085, 246, 229, 15682, 112599, 16144, 78459, 106240, 16144, 19967, 31431, 24273, 107118, 108901, 26854, 31431, 5486, 109022, 111528, 30512, 101851, 106, 50520, 108, 107436, 19967, 100472, 10110, 112673, 38248, 108, 108958, 30512, 107608, 109013, 105933, 102944, 7705, 118816, 84851, 108867, 84389, 33541, 1811, 85997, 39177, 15682, 36827, 105600, 20230, 112500, 17905, 54926, 113009, 19967, 102204, 100481, 79721, 109807, 74482, 5486, 103787, 101559, 29295, 55038, 103892, 54926, 101200, 115717, 36896, 120329, 10646, 32977, 36785, 102189, 127842, 19967, 102204, 123733, 76947, 114604, 117840, 9174, 2, 113442, 106240, 30512, 126407, 104004, 198, 14711, 106555, 57933, 103621, 102540, 198, 78459, 106240, 16144, 102616, 198, 567, 105180, 16144, 78459, 106240, 16144, 114172, 102512, 118075, 198, 102433, 20230, 111528, 105107, 25446, 29295, 108044, 78183, 121118, 104468, 110776, 122088, 101402, 45829, 29295, 76706, 109526, 235, 56051, 5486, 107850, 116750, 113146, 19732, 117952, 106824, 61689, 113637, 119400, 16144, 78459, 106240, 15682, 198, 14711, 18630, 228, 235, 105194 ]
[ 238, 103868, 102677, 112690, 16144, 68171, 37507, 198, 103350, 15682, 51330, 13177, 120329, 10646, 15682, 44620, 27384, 104322, 96311, 227, 101837, 225, 106613, 36761, 102677, 6271, 237, 105586, 20230, 120955, 126020, 33541, 1811, 220, 58426, 33334, 106613, 107809, 20230, 13177, 109022, 105755, 111528, 30512, 121216, 5486, 111528, 105755, 100845, 103, 10110, 124749, 7705, 30512, 121216, 5486, 100845, 103, 105755, 21990, 100845, 98, 10110, 72342, 16995, 27929, 7705, 30512, 121216, 5486, 21990, 100845, 98, 105755, 109809, 100845, 98, 10110, 100204, 116186, 47884, 27929, 7705, 30512, 121216, 5486, 109809, 100845, 98, 105755, 105194, 235, 105194, 238, 30512, 121406, 1811, 105194, 235, 105194, 238, 15682, 32335, 17905, 26854, 31431, 1811, 121655, 15024, 44309, 54926, 30046, 30591, 33503, 81219, 5486, 123378, 103429, 112073, 21418, 47884, 123405, 33503, 106644, 30369, 120328, 117434, 16144, 123561, 10110, 100909, 48154, 19732, 47884, 7705, 47884, 42246, 107809, 109156, 30369, 66383, 16144, 17161, 78244, 115991, 33541, 1811, 116056, 17161, 78244, 15682, 5486, 109022, 111528, 16144, 117041, 27479, 29295, 13177, 100845, 103, 59712, 21990, 100845, 98, 59712, 109809, 100845, 98, 59712, 105194, 235, 105194, 238, 117503, 104466, 115442, 30369, 108680, 58426, 104346, 103868, 30512, 115079, 17663, 104466, 5486, 105755, 123499, 26854, 100927, 104577, 10110, 114093, 34048, 106613, 5486, 23951, 43240, 108327, 5486, 24273, 50667, 106613, 5486, 104322, 105268, 103682, 108327, 122519, 110745, 96311, 227, 101837, 225, 106613, 7705, 20230, 30177, 54926, 100909, 112212, 123334, 29295, 38144, 32335, 17905, 16144, 103496, 30590, 10110, 125636, 31431, 7705, 20230, 104067, 112990, 50338, 13393, 230, 116216, 108086, 5486, 110382, 55031, 53953, 30926, 16144, 89151, 16144, 28190, 101828, 30813, 30512, 21405, 17663, 863, 105194, 235, 105194, 238, 103868, 863, 102677, 112690, 29295, 45918, 243, 21990, 121256, 1811, 84499, 44620, 27384, 104322, 96311, 227, 101837, 225, 106613, 121359, 36785, 16995, 15682, 59739, 101832, 15682, 25827, 105557, 101200, 119735, 5486, 76171, 45923, 55031, 59795, 16144, 49409, 96311, 120, 10110, 102717, 47884, 31431, 107106, 7705, 20230, 124284, 27552, 229, 43568, 10414, 244, 10110, 67645, 25827, 104004, 15024, 25827, 7705, 102677, 33334, 121441, 121944, 5486, 18245, 8107, 119400, 107898, 13393, 230, 10287, 99, 103826, 16144, 100927, 58942, 30512, 115953, 102158, 20230, 111602, 117735, 56051, 102944, 9174, 567, 106369, 125683, 62004, 16144, 77219, 198, 12, 26063, 128001, 128000, 679, 23, 8107, 5486, 52591, 37823, 68759, 39880, 115507, 13177, 39850, 33710, 71493, 37823, 117503, 17905, 75267, 112212, 5486, 117409, 964, 102832, 109482, 68581, 11972, 114435, 111363, 97518, 64209, 15682, 15120, 95221, 20230, 45736, 109709, 79721, 9174, 121568, 126330, 46729, 15682, 32977, 43514, 85791, 25827, 5486, 102741, 112508, 66953, 116099, 118953, 107610, 71289, 20251, 112673, 47307, 115681, 101918, 5486, 42, 4195, 40, 123160, 27384, 114435, 117758, 964, 102832, 109482, 68581, 11972, 114435, 111363, 126330, 32977, 105047, 21601, 95399, 103792, 37271, 5486, 964, 102832, 109482, 68581, 11972, 114435, 111363, 81258, 107430, 9458, 108436, 107430, 30512, 30832, 64467, 17663, 24273, 32977, 43240, 117714, 111769, 123253, 32149, 9174, 80673, 36896, 27384, 114435, 20230, 81258, 107430, 56051, 24273, 29295, 51385, 64209, 126529, 111769, 32149, 30, 59712, 103350, 104983, 5486, 110698, 58318, 16144, 28190, 15682, 104405, 26854, 104865, 30, 59712, 105994, 20230, 40862, 103836, 104468, 104405, 16995, 100472, 122502, 50834, 24273, 26854, 104865, 30, 10646, 19732, 5486, 107391, 104612, 57326, 93488, 16144, 121697, 24273, 16556, 101128, 102, 17129, 104028, 24273, 32977, 83747, 103470, 100604, 16144, 111769, 123253, 32149, 5380, 37271, 18904, 15682, 5486, 107943, 27384, 26130, 118322, 964, 102832, 109482, 68581, 11972, 114435, 109853, 5486, 17599, 117, 104792, 112535, 106596, 9458, 48154, 126362, 109768, 50834, 33541, 9174, 21043, 66776, 115515, 123470, 30591, 112568, 16144, 107391, 104612, 57326, 93488, 16144, 106391, 113638, 20230, 107734, 121697, 100481, 90620, 107674, 33503, 106046, 61689, 9174, 30832, 33671, 198, 12, 220, 16, 13, 115813, 109482, 68581, 11972, 114435, 107118, 198, 12, 220, 17, 13, 124939, 104612, 121507, 119869, 16144, 110426, 13177, 27384, 114435, 15755, 244, 15755, 241, 102832, 109482, 68581, 11972, 114435, 111329, 12, 220, 17, 12, 17, 13, 48785, 19113, 55031, 91774, 30369, 27384, 114435, 19732, 102832, 109482, 68581, 11972, 114435, 16144, 121953, 198, 12, 220, 18, 13, 8871, 102832, 109482, 68581, 11972, 114435, 16556, 76706, 109526, 235, 108608, 17792, 103234, 107118, 198, 12, 220, 19, 13, 119594, 43167, 34048, 16906, 111, 102647, 0, 27384, 26130, 30832, 964, 102832, 109482, 68581, 11972, 114435, 93488, 119557, 198, 12, 220, 20, 13, 8871, 102832, 109482, 68581, 11972, 114435, 16144, 108152, 78683, 105048, 26854, 126356, 112950, 21990, 198, 12, 220, 21, 13, 220, 123011, 62004, 198, 567, 220, 16, 13, 115813, 109482, 68581, 11972, 114435, 107118, 198, 102832, 109482, 68581, 11972, 114435, 109853, 108149, 112568, 15682, 67645, 103171, 25197, 126989, 114792, 103836, 123253, 32149, 9174, 13177, 61337, 101544, 29295, 105268, 47884, 38144, 31809, 106045, 54872, 26854, 108695, 30, 59712, 17039, 102800, 108134, 112113, 30512, 122401, 9458, 103768, 112167, 103792, 108695, 30, 111329, 14711, 220, 16, 12, 16, 13, 115813, 109482, 68581, 11972, 114435, 16144, 23187, 104577, 198, 103350, 104983, 16144, 32938, 5486, 102832, 109482, 68581, 11972, 114435, 16144, 23187, 104577, 102677, 104468, 103826, 104680, 16556, 5486, 116229, 71289, 108638, 33014, 113468, 91774, 50338, 29295, 108901, 26854, 76947, 61689, 9174, 43240, 119064, 126513, 17039, 102800, 112113, 71289, 111090, 68408, 39880, 9458, 53283, 109375, 30512, 32977, 19732, 20230, 125175, 71289, 91482, 76428, 102750, 22398, 30512, 77413, 87447, 15024, 5486, 101544, 23538, 109904, 13153, 101544, 30512, 113173, 114267, 114435, 16144, 106592, 64467, 127145, 1811, 114435, 103306, 15682, 13153, 101544, 108968, 16325, 16144, 107803, 29295, 43240, 47884, 5486, 126330, 101513, 97518, 105755, 110238, 103129, 114475, 76622, 100934, 114435, 32977, 43240, 47884, 57903, 33541, 9174, 80673, 5486, 102832, 109482, 68581, 11972, 114435, 15682, 5486, 77413, 87447, 54926, 125175, 71289, 91482, 76428, 102750, 22398, 29295, 109215, 19732, 107001, 102944, 127303, 104984, 5486, 106649, 117232, 16556, 105047, 95399, 20230, 13153, 101544, 54926, 125396, 30512, 109243, 107436, 61689, 9174, 53900, 36896, 102832, 109482, 68581, 108994, 16073, 119557, 10646, 71289, 13177, 39850, 102472, 102832, 109482, 68581, 108994, 16073, 119557, 10646, 104088, 38144, 64121, 104533, 5486, 964, 102832, 109482, 68581, 11972, 114435, 29295, 43240, 47884, 122765, 124195, 61689, 109900, 103378, 964, 118482, 29295, 102832, 109482, 68581, 11972, 103306, 105335, 84477, 15024, 126172, 47884, 5486, 964, 102832, 109482, 68581, 11972, 114435, 29295, 115515, 74482, 26130, 30832, 110731, 102677, 100909, 26854, 104865, 110241, 33121, 107515, 9174, 14711, 220, 16, 12, 17, 13, 73958, 31809, 114435, 19732, 102832, 109482, 68581, 11972, 114435, 16144, 121953, 198, 13177, 16325, 31809, 114435, 66383, 15682, 114435, 16144, 106045, 54872, 30512, 21405, 17663, 112690, 116787, 5486, 103087, 22656, 35330, 71289, 123532, 101275, 102351, 9039, 20230, 108167, 104662, 62004, 29295, 48706, 127145, 9174, 10110, 109544, 25, 16325, 31809, 114435, 11795, 223, 23954, 58426, 28542, 77181, 121270, 31809, 114435, 107809, 20230, 96412, 17129, 104028, 102832, 109482, 68581, 11972, 114435, 32977, 48706, 54926, 102677, 113334, 38641, 9174, 80539, 5486, 102832, 109482, 68581, 11972, 114435, 16144, 66378, 17599, 112, 29295, 106045, 54872, 111769, 102677, 30926, 127303, 104984, 5486, 1951, 7476, 71289, 109054, 66953, 38248, 101, 78767, 78349, 52414, 104309, 110745, 114435, 19732, 42016, 106045, 54872, 114435, 124259, 13153, 101544, 56051, 114435, 32977, 5486, 102832, 109482, 68581, 11972, 114435, 102677, 113334, 38641, 9174, 59739, 109709, 121270, 31809, 114435, 19732, 102832, 109482, 68581, 11972, 114435, 15682, 5486, 103087, 22656, 35330, 71289, 123532, 101275, 102351, 9039, 113468, 17620, 76622, 110071, 102944, 126194, 5486, 114435, 16144, 121894, 71289, 91482, 76428, 102750, 22398, 123604, 5486, 51385, 23187, 34171, 102677, 28542, 115717, 33541, 9174, 567, 220, 17, 13, 124939, 104612, 121507, 119869, 16144, 110426, 13177, 27384, 114435, 15755, 244, 15755, 241, 102832, 109482, 68581, 11972, 114435, 111329, 14711, 220, 17, 12, 16, 13, 101678, 114435, 19732, 102832, 109482, 68581, 11972, 114435, 16144, 122502, 50834, 24273, 16144, 121953, 107118, 198, 30591, 112568, 29295, 107391, 104612, 121507, 30512, 117598, 109115, 104983, 20230, 36896, 27384, 114435, 66383, 13177, 102832, 109482, 68581, 11972, 114435, 118587, 57106, 103854, 5486, 101128, 102, 104004, 24273, 32977, 43240, 117714, 111769, 123253, 32149, 9174, 112361, 964, 101275, 98220, 127303, 114598, 106116, 122502, 50834, 24273, 16144, 121953, 15682, 119448, 47884, 108149, 112568, 16144, 107391, 104612, 30512, 119448, 47884, 118396, 54926, 121507, 121711, 33541, 9174, 27384, 114435, 19732, 102832, 109482, 68581, 11972, 114435, 1811, 110382, 77181, 108048, 108422, 33121, 16144, 39850, 37823, 67075, 68408, 39850, 37823, 67075, 30512, 48154, 126362, 78434, 9174, 30591, 112568, 16144, 22649, 101067, 117408, 122502, 50834, 24273, 15682, 5486, 67645, 103171, 114435, 20230, 68759, 108981, 54926, 104865, 5486, 107391, 104612, 57326, 93488, 16144, 108321, 116446, 64121, 38144, 72315, 101832, 9174, 827, 220, 17, 12, 16, 12, 16, 13, 73028, 112, 102512, 19732, 53283, 13372, 27479, 29295, 22023, 117943, 16144, 110322, 66327, 27384, 114435, 10646, 16556, 122502, 47884, 198, 39850, 37823, 67075, 198, 42, 4195, 40, 10110, 108156, 7705, 71289, 102741, 112508, 66953, 116099, 118953, 107610, 50667, 123085, 121960, 53283, 110104, 17792, 112987, 100604, 127303, 103950, 27384, 114435, 16556, 122502, 47884, 39850, 37823, 67075, 15682, 123334, 15682, 31431, 115251, 16144, 86354, 95221, 20230, 118396, 107001, 105908, 103470, 51385, 23187, 103792, 28542, 38641, 9174, 106222, 117758, 22023, 117943, 107407, 101399, 110745, 114435, 20230, 114731, 62004, 100934, 102677, 30926, 29295, 116907, 16144, 45918, 229, 31431, 105352, 103721, 233, 29295, 31431, 33541, 1811, 126356, 112950, 21990, 32977, 64531, 76947, 108086, 5486, 102803, 52591, 106826, 78767, 29295, 124500, 114598, 122502, 50834, 106307, 105784, 105908, 108608, 107803, 29295, 127181, 38641, 9174, 103087, 35330, 48634, 29295, 19361, 30369, 101399, 5486, 22398, 102663, 64178, 126636, 112495, 117876, 20230, 120988, 78183, 30369, 105908, 108608, 123017, 101523, 227, 48634, 112028, 59739, 38641, 9174, 68408, 39850, 37823, 67075, 198, 114435, 16144, 106045, 54872, 29295, 119448, 115737, 104984, 109020, 108680, 5486, 102159, 107707, 114940, 33857, 112607, 15682, 31809, 30813, 115737, 107462, 50834, 33541, 1811, 71289, 31431, 106956, 30926, 29295, 30591, 114598, 5486, 103350, 102321, 54926, 20230, 57237, 110104, 1811, 110526, 16144, 34048, 113112, 20230, 55487, 103204, 17663, 33503, 84389, 100604, 1811, 50667, 5486, 111764, 27479, 16144, 103167, 30813, 104023, 71289, 31431, 29295, 117714, 103167, 30813, 117282, 107803, 32977, 57903, 33541, 9174, 43240, 119064, 17792, 103234, 30512, 108623, 58942, 100934, 29295, 104604, 5486, 107734, 107430, 20230, 81258, 47884, 103296, 16144, 45893, 16144, 31431, 29295, 110596, 47884, 5486, 61826, 101477, 102, 71289, 17905, 65743, 110792, 114516, 116690, 16144, 111108, 21105, 243, 30512, 112391, 30369, 115789, 101182, 123253, 9174, 827, 220, 17, 12, 16, 12, 17, 13, 80019, 106045, 118482, 30512, 100818, 116, 20230, 105047, 13153, 101544, 30512, 30250, 224, 102639, 28713, 102832, 109482, 68581, 11972, 114435, 45631, 39850, 102472, 102832, 109482, 68581, 11972, 10646, 16556, 122502, 47884, 198, 1951, 7476, 71289, 109054, 66953, 38248, 101, 78767, 78349, 52414, 20230, 106691, 107001, 39850, 102472, 102832, 109482, 68581, 11972, 15682, 5486, 113146, 16144, 89753, 33121, 30512, 61826, 98499, 64121, 5486, 61826, 23039, 54926, 106613, 112167, 16556, 105047, 13153, 101544, 9458, 104721, 33208, 30512, 30250, 224, 102639, 38144, 108086, 5486, 118482, 20230, 19653, 15024, 17905, 75267, 126198, 31431, 5486, 106045, 54872, 30512, 119448, 47884, 103792, 121606, 126636, 112495, 102832, 109482, 68581, 11972, 114435, 30512, 64467, 78434, 9174, 39850, 102472, 102832, 109482, 68581, 11972, 77181, 5486, 105268, 47884, 39926, 22398, 102663, 64178, 126636, 112495, 117876, 20230, 114099, 102669, 56051, 31431, 110745, 40526, 16144, 14167, 100, 65854, 30512, 126913, 56051, 111842, 5486, 22398, 70563, 65575, 99750, 19732, 113160, 49988, 99750, 5486, 104662, 64889, 48634, 114792, 76947, 5486, 116907, 16144, 48634, 16556, 117876, 30512, 103130, 109315, 22398, 62903, 33710, 30512, 96356, 20230, 100815, 105784, 30926, 29295, 125545, 9174, 117876, 104369, 31431, 71289, 13153, 28873, 113468, 8107, 106036, 95, 114556, 108826, 103470, 107624, 95001, 84389, 5486, 107734, 107430, 71289, 110698, 58318, 102416, 95543, 106482, 84389, 126172, 117714, 32977, 110745, 114435, 102052, 100604, 39850, 37823, 67075, 38641, 118855, 5486, 102832, 109482, 68581, 11972, 114435, 126036, 126356, 112950, 21990, 29295, 64531, 103836, 101427, 122, 70141, 115991, 33541, 9174, 102832, 109482, 68581, 11972, 114435, 20230, 57106, 103854, 104533, 103768, 112167, 16144, 75146, 114457, 29295, 64531, 58942, 125398, 107803, 29295, 43240, 47884, 5486, 122617, 30512, 108270, 42634, 55031, 19967, 107462, 47884, 1811, 102677, 46034, 106608, 58942, 15682, 112391, 20230, 47884, 118544, 110241, 33121, 107515, 9174, 49988, 107001, 117876, 29295, 119448, 16995, 17620, 113160, 49988, 32977, 119448, 115737, 31431, 33541, 29295, 5486, 13153, 28873, 121930, 16144, 118192, 26269, 105988, 11972, 20230, 109972, 105784, 100909, 103470, 5486, 25580, 70141, 50834, 20230, 37026, 33503, 91875, 50834, 106307, 76622, 110071, 17792, 103234, 16556, 100604, 19732, 5486, 22398, 70563, 114228, 57183, 26854, 61337, 123727, 91875, 50834, 55031, 108167, 108618, 116216, 114732, 115789, 57903, 33541, 9174, 110698, 58318, 71289, 126356, 112950, 21990, 16144, 28190, 72661, 110745, 114435, 19732, 57106, 103854, 104533, 105268, 104055, 103167, 16995, 53610, 107253, 117282, 107803, 115991, 33541, 9174, 827, 220, 17, 12, 16, 12, 18, 13, 80019, 112113, 71289, 17039, 102800, 125175, 16556, 5486, 117903, 125523, 119619, 54926, 105335, 84477, 122060, 71289, 102832, 109482, 68581, 11972, 114435, 16556, 122502, 47884, 198, 108695, 106045, 54872, 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 ]
[ 238, 103868, 102677, 112690, 16144, 68171, 37507, 198, 103350, 15682, 51330, 13177, 120329, 10646, 15682, 44620, 27384, 104322, 96311, 227, 101837, 225, 106613, 36761, 102677, 6271, 237, 105586, 20230, 120955, 126020, 33541, 1811, 220, 58426, 33334, 106613, 107809, 20230, 13177, 109022, 105755, 111528, 30512, 121216, 5486, 111528, 105755, 100845, 103, 10110, 124749, 7705, 30512, 121216, 5486, 100845, 103, 105755, 21990, 100845, 98, 10110, 72342, 16995, 27929, 7705, 30512, 121216, 5486, 21990, 100845, 98, 105755, 109809, 100845, 98, 10110, 100204, 116186, 47884, 27929, 7705, 30512, 121216, 5486, 109809, 100845, 98, 105755, 105194, 235, 105194, 238, 30512, 121406, 1811, 105194, 235, 105194, 238, 15682, 32335, 17905, 26854, 31431, 1811, 121655, 15024, 44309, 54926, 30046, 30591, 33503, 81219, 5486, 123378, 103429, 112073, 21418, 47884, 123405, 33503, 106644, 30369, 120328, 117434, 16144, 123561, 10110, 100909, 48154, 19732, 47884, 7705, 47884, 42246, 107809, 109156, 30369, 66383, 16144, 17161, 78244, 115991, 33541, 1811, 116056, 17161, 78244, 15682, 5486, 109022, 111528, 16144, 117041, 27479, 29295, 13177, 100845, 103, 59712, 21990, 100845, 98, 59712, 109809, 100845, 98, 59712, 105194, 235, 105194, 238, 117503, 104466, 115442, 30369, 108680, 58426, 104346, 103868, 30512, 115079, 17663, 104466, 5486, 105755, 123499, 26854, 100927, 104577, 10110, 114093, 34048, 106613, 5486, 23951, 43240, 108327, 5486, 24273, 50667, 106613, 5486, 104322, 105268, 103682, 108327, 122519, 110745, 96311, 227, 101837, 225, 106613, 7705, 20230, 30177, 54926, 100909, 112212, 123334, 29295, 38144, 32335, 17905, 16144, 103496, 30590, 10110, 125636, 31431, 7705, 20230, 104067, 112990, 50338, 13393, 230, 116216, 108086, 5486, 110382, 55031, 53953, 30926, 16144, 89151, 16144, 28190, 101828, 30813, 30512, 21405, 17663, 863, 105194, 235, 105194, 238, 103868, 863, 102677, 112690, 29295, 45918, 243, 21990, 121256, 1811, 84499, 44620, 27384, 104322, 96311, 227, 101837, 225, 106613, 121359, 36785, 16995, 15682, 59739, 101832, 15682, 25827, 105557, 101200, 119735, 5486, 76171, 45923, 55031, 59795, 16144, 49409, 96311, 120, 10110, 102717, 47884, 31431, 107106, 7705, 20230, 124284, 27552, 229, 43568, 10414, 244, 10110, 67645, 25827, 104004, 15024, 25827, 7705, 102677, 33334, 121441, 121944, 5486, 18245, 8107, 119400, 107898, 13393, 230, 10287, 99, 103826, 16144, 100927, 58942, 30512, 115953, 102158, 20230, 111602, 117735, 56051, 102944, 9174, 567, 106369, 125683, 62004, 16144, 77219, 198, 12, 26063, 128001, 128000, 679, 23, 8107, 5486, 52591, 37823, 68759, 39880, 115507, 13177, 39850, 33710, 71493, 37823, 117503, 17905, 75267, 112212, 5486, 117409, 964, 102832, 109482, 68581, 11972, 114435, 111363, 97518, 64209, 15682, 15120, 95221, 20230, 45736, 109709, 79721, 9174, 121568, 126330, 46729, 15682, 32977, 43514, 85791, 25827, 5486, 102741, 112508, 66953, 116099, 118953, 107610, 71289, 20251, 112673, 47307, 115681, 101918, 5486, 42, 4195, 40, 123160, 27384, 114435, 117758, 964, 102832, 109482, 68581, 11972, 114435, 111363, 126330, 32977, 105047, 21601, 95399, 103792, 37271, 5486, 964, 102832, 109482, 68581, 11972, 114435, 111363, 81258, 107430, 9458, 108436, 107430, 30512, 30832, 64467, 17663, 24273, 32977, 43240, 117714, 111769, 123253, 32149, 9174, 80673, 36896, 27384, 114435, 20230, 81258, 107430, 56051, 24273, 29295, 51385, 64209, 126529, 111769, 32149, 30, 59712, 103350, 104983, 5486, 110698, 58318, 16144, 28190, 15682, 104405, 26854, 104865, 30, 59712, 105994, 20230, 40862, 103836, 104468, 104405, 16995, 100472, 122502, 50834, 24273, 26854, 104865, 30, 10646, 19732, 5486, 107391, 104612, 57326, 93488, 16144, 121697, 24273, 16556, 101128, 102, 17129, 104028, 24273, 32977, 83747, 103470, 100604, 16144, 111769, 123253, 32149, 5380, 37271, 18904, 15682, 5486, 107943, 27384, 26130, 118322, 964, 102832, 109482, 68581, 11972, 114435, 109853, 5486, 17599, 117, 104792, 112535, 106596, 9458, 48154, 126362, 109768, 50834, 33541, 9174, 21043, 66776, 115515, 123470, 30591, 112568, 16144, 107391, 104612, 57326, 93488, 16144, 106391, 113638, 20230, 107734, 121697, 100481, 90620, 107674, 33503, 106046, 61689, 9174, 30832, 33671, 198, 12, 220, 16, 13, 115813, 109482, 68581, 11972, 114435, 107118, 198, 12, 220, 17, 13, 124939, 104612, 121507, 119869, 16144, 110426, 13177, 27384, 114435, 15755, 244, 15755, 241, 102832, 109482, 68581, 11972, 114435, 111329, 12, 220, 17, 12, 17, 13, 48785, 19113, 55031, 91774, 30369, 27384, 114435, 19732, 102832, 109482, 68581, 11972, 114435, 16144, 121953, 198, 12, 220, 18, 13, 8871, 102832, 109482, 68581, 11972, 114435, 16556, 76706, 109526, 235, 108608, 17792, 103234, 107118, 198, 12, 220, 19, 13, 119594, 43167, 34048, 16906, 111, 102647, 0, 27384, 26130, 30832, 964, 102832, 109482, 68581, 11972, 114435, 93488, 119557, 198, 12, 220, 20, 13, 8871, 102832, 109482, 68581, 11972, 114435, 16144, 108152, 78683, 105048, 26854, 126356, 112950, 21990, 198, 12, 220, 21, 13, 220, 123011, 62004, 198, 567, 220, 16, 13, 115813, 109482, 68581, 11972, 114435, 107118, 198, 102832, 109482, 68581, 11972, 114435, 109853, 108149, 112568, 15682, 67645, 103171, 25197, 126989, 114792, 103836, 123253, 32149, 9174, 13177, 61337, 101544, 29295, 105268, 47884, 38144, 31809, 106045, 54872, 26854, 108695, 30, 59712, 17039, 102800, 108134, 112113, 30512, 122401, 9458, 103768, 112167, 103792, 108695, 30, 111329, 14711, 220, 16, 12, 16, 13, 115813, 109482, 68581, 11972, 114435, 16144, 23187, 104577, 198, 103350, 104983, 16144, 32938, 5486, 102832, 109482, 68581, 11972, 114435, 16144, 23187, 104577, 102677, 104468, 103826, 104680, 16556, 5486, 116229, 71289, 108638, 33014, 113468, 91774, 50338, 29295, 108901, 26854, 76947, 61689, 9174, 43240, 119064, 126513, 17039, 102800, 112113, 71289, 111090, 68408, 39880, 9458, 53283, 109375, 30512, 32977, 19732, 20230, 125175, 71289, 91482, 76428, 102750, 22398, 30512, 77413, 87447, 15024, 5486, 101544, 23538, 109904, 13153, 101544, 30512, 113173, 114267, 114435, 16144, 106592, 64467, 127145, 1811, 114435, 103306, 15682, 13153, 101544, 108968, 16325, 16144, 107803, 29295, 43240, 47884, 5486, 126330, 101513, 97518, 105755, 110238, 103129, 114475, 76622, 100934, 114435, 32977, 43240, 47884, 57903, 33541, 9174, 80673, 5486, 102832, 109482, 68581, 11972, 114435, 15682, 5486, 77413, 87447, 54926, 125175, 71289, 91482, 76428, 102750, 22398, 29295, 109215, 19732, 107001, 102944, 127303, 104984, 5486, 106649, 117232, 16556, 105047, 95399, 20230, 13153, 101544, 54926, 125396, 30512, 109243, 107436, 61689, 9174, 53900, 36896, 102832, 109482, 68581, 108994, 16073, 119557, 10646, 71289, 13177, 39850, 102472, 102832, 109482, 68581, 108994, 16073, 119557, 10646, 104088, 38144, 64121, 104533, 5486, 964, 102832, 109482, 68581, 11972, 114435, 29295, 43240, 47884, 122765, 124195, 61689, 109900, 103378, 964, 118482, 29295, 102832, 109482, 68581, 11972, 103306, 105335, 84477, 15024, 126172, 47884, 5486, 964, 102832, 109482, 68581, 11972, 114435, 29295, 115515, 74482, 26130, 30832, 110731, 102677, 100909, 26854, 104865, 110241, 33121, 107515, 9174, 14711, 220, 16, 12, 17, 13, 73958, 31809, 114435, 19732, 102832, 109482, 68581, 11972, 114435, 16144, 121953, 198, 13177, 16325, 31809, 114435, 66383, 15682, 114435, 16144, 106045, 54872, 30512, 21405, 17663, 112690, 116787, 5486, 103087, 22656, 35330, 71289, 123532, 101275, 102351, 9039, 20230, 108167, 104662, 62004, 29295, 48706, 127145, 9174, 10110, 109544, 25, 16325, 31809, 114435, 11795, 223, 23954, 58426, 28542, 77181, 121270, 31809, 114435, 107809, 20230, 96412, 17129, 104028, 102832, 109482, 68581, 11972, 114435, 32977, 48706, 54926, 102677, 113334, 38641, 9174, 80539, 5486, 102832, 109482, 68581, 11972, 114435, 16144, 66378, 17599, 112, 29295, 106045, 54872, 111769, 102677, 30926, 127303, 104984, 5486, 1951, 7476, 71289, 109054, 66953, 38248, 101, 78767, 78349, 52414, 104309, 110745, 114435, 19732, 42016, 106045, 54872, 114435, 124259, 13153, 101544, 56051, 114435, 32977, 5486, 102832, 109482, 68581, 11972, 114435, 102677, 113334, 38641, 9174, 59739, 109709, 121270, 31809, 114435, 19732, 102832, 109482, 68581, 11972, 114435, 15682, 5486, 103087, 22656, 35330, 71289, 123532, 101275, 102351, 9039, 113468, 17620, 76622, 110071, 102944, 126194, 5486, 114435, 16144, 121894, 71289, 91482, 76428, 102750, 22398, 123604, 5486, 51385, 23187, 34171, 102677, 28542, 115717, 33541, 9174, 567, 220, 17, 13, 124939, 104612, 121507, 119869, 16144, 110426, 13177, 27384, 114435, 15755, 244, 15755, 241, 102832, 109482, 68581, 11972, 114435, 111329, 14711, 220, 17, 12, 16, 13, 101678, 114435, 19732, 102832, 109482, 68581, 11972, 114435, 16144, 122502, 50834, 24273, 16144, 121953, 107118, 198, 30591, 112568, 29295, 107391, 104612, 121507, 30512, 117598, 109115, 104983, 20230, 36896, 27384, 114435, 66383, 13177, 102832, 109482, 68581, 11972, 114435, 118587, 57106, 103854, 5486, 101128, 102, 104004, 24273, 32977, 43240, 117714, 111769, 123253, 32149, 9174, 112361, 964, 101275, 98220, 127303, 114598, 106116, 122502, 50834, 24273, 16144, 121953, 15682, 119448, 47884, 108149, 112568, 16144, 107391, 104612, 30512, 119448, 47884, 118396, 54926, 121507, 121711, 33541, 9174, 27384, 114435, 19732, 102832, 109482, 68581, 11972, 114435, 1811, 110382, 77181, 108048, 108422, 33121, 16144, 39850, 37823, 67075, 68408, 39850, 37823, 67075, 30512, 48154, 126362, 78434, 9174, 30591, 112568, 16144, 22649, 101067, 117408, 122502, 50834, 24273, 15682, 5486, 67645, 103171, 114435, 20230, 68759, 108981, 54926, 104865, 5486, 107391, 104612, 57326, 93488, 16144, 108321, 116446, 64121, 38144, 72315, 101832, 9174, 827, 220, 17, 12, 16, 12, 16, 13, 73028, 112, 102512, 19732, 53283, 13372, 27479, 29295, 22023, 117943, 16144, 110322, 66327, 27384, 114435, 10646, 16556, 122502, 47884, 198, 39850, 37823, 67075, 198, 42, 4195, 40, 10110, 108156, 7705, 71289, 102741, 112508, 66953, 116099, 118953, 107610, 50667, 123085, 121960, 53283, 110104, 17792, 112987, 100604, 127303, 103950, 27384, 114435, 16556, 122502, 47884, 39850, 37823, 67075, 15682, 123334, 15682, 31431, 115251, 16144, 86354, 95221, 20230, 118396, 107001, 105908, 103470, 51385, 23187, 103792, 28542, 38641, 9174, 106222, 117758, 22023, 117943, 107407, 101399, 110745, 114435, 20230, 114731, 62004, 100934, 102677, 30926, 29295, 116907, 16144, 45918, 229, 31431, 105352, 103721, 233, 29295, 31431, 33541, 1811, 126356, 112950, 21990, 32977, 64531, 76947, 108086, 5486, 102803, 52591, 106826, 78767, 29295, 124500, 114598, 122502, 50834, 106307, 105784, 105908, 108608, 107803, 29295, 127181, 38641, 9174, 103087, 35330, 48634, 29295, 19361, 30369, 101399, 5486, 22398, 102663, 64178, 126636, 112495, 117876, 20230, 120988, 78183, 30369, 105908, 108608, 123017, 101523, 227, 48634, 112028, 59739, 38641, 9174, 68408, 39850, 37823, 67075, 198, 114435, 16144, 106045, 54872, 29295, 119448, 115737, 104984, 109020, 108680, 5486, 102159, 107707, 114940, 33857, 112607, 15682, 31809, 30813, 115737, 107462, 50834, 33541, 1811, 71289, 31431, 106956, 30926, 29295, 30591, 114598, 5486, 103350, 102321, 54926, 20230, 57237, 110104, 1811, 110526, 16144, 34048, 113112, 20230, 55487, 103204, 17663, 33503, 84389, 100604, 1811, 50667, 5486, 111764, 27479, 16144, 103167, 30813, 104023, 71289, 31431, 29295, 117714, 103167, 30813, 117282, 107803, 32977, 57903, 33541, 9174, 43240, 119064, 17792, 103234, 30512, 108623, 58942, 100934, 29295, 104604, 5486, 107734, 107430, 20230, 81258, 47884, 103296, 16144, 45893, 16144, 31431, 29295, 110596, 47884, 5486, 61826, 101477, 102, 71289, 17905, 65743, 110792, 114516, 116690, 16144, 111108, 21105, 243, 30512, 112391, 30369, 115789, 101182, 123253, 9174, 827, 220, 17, 12, 16, 12, 17, 13, 80019, 106045, 118482, 30512, 100818, 116, 20230, 105047, 13153, 101544, 30512, 30250, 224, 102639, 28713, 102832, 109482, 68581, 11972, 114435, 45631, 39850, 102472, 102832, 109482, 68581, 11972, 10646, 16556, 122502, 47884, 198, 1951, 7476, 71289, 109054, 66953, 38248, 101, 78767, 78349, 52414, 20230, 106691, 107001, 39850, 102472, 102832, 109482, 68581, 11972, 15682, 5486, 113146, 16144, 89753, 33121, 30512, 61826, 98499, 64121, 5486, 61826, 23039, 54926, 106613, 112167, 16556, 105047, 13153, 101544, 9458, 104721, 33208, 30512, 30250, 224, 102639, 38144, 108086, 5486, 118482, 20230, 19653, 15024, 17905, 75267, 126198, 31431, 5486, 106045, 54872, 30512, 119448, 47884, 103792, 121606, 126636, 112495, 102832, 109482, 68581, 11972, 114435, 30512, 64467, 78434, 9174, 39850, 102472, 102832, 109482, 68581, 11972, 77181, 5486, 105268, 47884, 39926, 22398, 102663, 64178, 126636, 112495, 117876, 20230, 114099, 102669, 56051, 31431, 110745, 40526, 16144, 14167, 100, 65854, 30512, 126913, 56051, 111842, 5486, 22398, 70563, 65575, 99750, 19732, 113160, 49988, 99750, 5486, 104662, 64889, 48634, 114792, 76947, 5486, 116907, 16144, 48634, 16556, 117876, 30512, 103130, 109315, 22398, 62903, 33710, 30512, 96356, 20230, 100815, 105784, 30926, 29295, 125545, 9174, 117876, 104369, 31431, 71289, 13153, 28873, 113468, 8107, 106036, 95, 114556, 108826, 103470, 107624, 95001, 84389, 5486, 107734, 107430, 71289, 110698, 58318, 102416, 95543, 106482, 84389, 126172, 117714, 32977, 110745, 114435, 102052, 100604, 39850, 37823, 67075, 38641, 118855, 5486, 102832, 109482, 68581, 11972, 114435, 126036, 126356, 112950, 21990, 29295, 64531, 103836, 101427, 122, 70141, 115991, 33541, 9174, 102832, 109482, 68581, 11972, 114435, 20230, 57106, 103854, 104533, 103768, 112167, 16144, 75146, 114457, 29295, 64531, 58942, 125398, 107803, 29295, 43240, 47884, 5486, 122617, 30512, 108270, 42634, 55031, 19967, 107462, 47884, 1811, 102677, 46034, 106608, 58942, 15682, 112391, 20230, 47884, 118544, 110241, 33121, 107515, 9174, 49988, 107001, 117876, 29295, 119448, 16995, 17620, 113160, 49988, 32977, 119448, 115737, 31431, 33541, 29295, 5486, 13153, 28873, 121930, 16144, 118192, 26269, 105988, 11972, 20230, 109972, 105784, 100909, 103470, 5486, 25580, 70141, 50834, 20230, 37026, 33503, 91875, 50834, 106307, 76622, 110071, 17792, 103234, 16556, 100604, 19732, 5486, 22398, 70563, 114228, 57183, 26854, 61337, 123727, 91875, 50834, 55031, 108167, 108618, 116216, 114732, 115789, 57903, 33541, 9174, 110698, 58318, 71289, 126356, 112950, 21990, 16144, 28190, 72661, 110745, 114435, 19732, 57106, 103854, 104533, 105268, 104055, 103167, 16995, 53610, 107253, 117282, 107803, 115991, 33541, 9174, 827, 220, 17, 12, 16, 12, 18, 13, 80019, 112113, 71289, 17039, 102800, 125175, 16556, 5486, 117903, 125523, 119619, 54926, 105335, 84477, 122060, 71289, 102832, 109482, 68581, 11972, 114435, 16556, 122502, 47884, 198, 108695, 106045, 54872, 29295 ]
[ 31809, 30813, 47884, 5486, 102159, 104680, 16144, 114940, 33857, 29295, 119448, 115737, 31431, 33541, 1811, 106613, 112167, 30046, 110792, 124349, 29295, 60358, 47884, 5486, 104346, 33035, 21105, 234, 126521, 114435, 29295, 127181, 38641, 9174, 13177, 125338, 115226, 66383, 95604, 111090, 68408, 39880, 29295, 116907, 16144, 82420, 55723, 19732, 123120, 112212, 5486, 108695, 16144, 60632, 105576, 20230, 74245, 102971, 78434, 9174, 108695, 29295, 13153, 101544, 109768, 119064, 30512, 96356, 60358, 16556, 112391, 110071, 105879, 110745, 112495, 71289, 31431, 125001, 30512, 112391, 30369, 105908, 125545, 9174, 8107, 17860, 33144, 32218, 126194, 5486, 106556, 19732, 111090, 68408, 39880, 114792, 100472, 17792, 103234, 20230, 117876, 30512, 49988, 72342, 100481, 50834, 33541, 105879, 5486, 117876, 16144, 111044, 15682, 108285, 47884, 5486, 47307, 115592, 117120, 22649, 22398, 62903, 33710, 32977, 109415, 30369, 105908, 125545, 9174, 27384, 114435, 71289, 39850, 102472, 102832, 109482, 68581, 11972, 19732, 57106, 103854, 5486, 108695, 37026, 33014, 29295, 127408, 23187, 102677, 28542, 15682, 127408, 31634, 72238, 38641, 9174, 53900, 5486, 17792, 103234, 29295, 102780, 31431, 126386, 114435, 29295, 43240, 47884, 5486, 102159, 104680, 16144, 117876, 16144, 111044, 29295, 108285, 16995, 101399, 5486, 90962, 112164, 25005, 107, 105048, 115717, 29295, 43514, 38641, 1811, 118095, 112008, 23538, 102052, 9080, 104680, 16144, 117120, 22649, 29295, 104862, 16995, 47000, 32149, 101860, 121410, 9080, 108618, 101275, 9458, 117856, 109709, 121423, 102677, 107803, 32977, 101182, 123253, 9174, 102321, 75267, 9458, 118482, 103983, 16144, 114435, 29295, 127181, 101399, 5486, 104378, 114305, 9458, 126356, 112950, 21990, 16144, 28190, 72661, 5486, 16937, 112624, 30512, 112391, 30369, 105908, 101182, 32149, 110241, 33121, 107515, 9174, 567, 220, 17, 12, 17, 13, 48785, 19113, 55031, 91774, 30369, 27384, 114435, 19732, 102832, 109482, 68581, 11972, 114435, 16144, 121953, 198, 33671, 20230, 5486, 103350, 104983, 20230, 27384, 114435, 9458, 102832, 109482, 68581, 11972, 114435, 16144, 123532, 101275, 102351, 9039, 9458, 115274, 8107, 106036, 95, 9458, 115274, 8107, 110226, 102052, 67645, 103171, 121953, 107407, 104865, 5486, 123011, 107436, 64121, 79721, 9174, 27384, 114435, 198, 10110, 109544, 25, 56, 31023, 20066, 0, 41, 2599, 1111, 104774, 25197, 96452, 107446, 220, 679, 24, 8107, 16, 9953, 39177, 28542, 23954, 102832, 109482, 68581, 11972, 114435, 198, 27384, 114435, 77181, 8107, 17860, 33144, 32218, 16144, 123141, 29295, 108618, 103836, 107803, 29295, 43240, 47884, 5486, 8107, 106036, 95, 29295, 45736, 47884, 109020, 107294, 33121, 5486, 8107, 110226, 32977, 115442, 30369, 101427, 122, 70141, 115991, 33541, 29295, 115847, 103378, 16144, 123532, 101275, 102351, 9039, 107809, 16556, 5486, 107734, 107430, 20230, 81258, 50834, 122603, 16995, 8107, 110226, 30512, 50928, 30369, 105908, 108608, 17792, 103234, 15682, 15120, 111665, 31431, 38641, 9174, 58426, 28542, 508, 31640, 71289, 966, 31640, 16144, 105268, 8107, 114050, 72661, 5486, 107734, 107430, 71289, 13153, 28873, 113468, 15682, 102832, 109482, 68581, 11972, 114435, 120332, 29295, 8107, 110226, 29295, 126574, 107803, 32977, 57903, 33541, 9174, 567, 220, 18, 13, 8871, 102832, 109482, 68581, 11972, 114435, 16556, 76706, 109526, 235, 108608, 17792, 103234, 107118, 198, 77181, 103350, 104983, 20230, 964, 102832, 109482, 68581, 11972, 114435, 77181, 5486, 67645, 103171, 22398, 62903, 33710, 71289, 68759, 76171, 45923, 114792, 100472, 17792, 103234, 30512, 32018, 62004, 100934, 105879, 109954, 32149, 9174, 14711, 220, 18, 12, 16, 13, 112562, 9554, 37689, 109375, 30512, 110794, 64810, 122981, 105335, 84477, 108608, 198, 13153, 101544, 15024, 27704, 109013, 122416, 16144, 114435, 77181, 5486, 14167, 100, 65854, 9458, 104378, 120456, 118331, 107908, 30512, 15682, 100204, 62004, 117408, 75146, 114457, 29295, 64531, 107462, 100604, 105908, 36149, 228, 67645, 38641, 9174, 58426, 16325, 16556, 5486, 37026, 33503, 113727, 9458, 123120, 54926, 109335, 115924, 103359, 109904, 77195, 38641, 1811, 16995, 107188, 30369, 39177, 72661, 5486, 89154, 76428, 103906, 52884, 26854, 125456, 30512, 110794, 5486, 103621, 64178, 30512, 116700, 54926, 109335, 32977, 43514, 85791, 25827, 5486, 111681, 104482, 104088, 126268, 100818, 234, 45893, 23951, 37656, 109768, 119064, 32977, 105994, 116907, 38641, 9174, 964, 102832, 109482, 68581, 11972, 114435, 15682, 5486, 40053, 20230, 104721, 33208, 15024, 13153, 101544, 127145, 109807, 22398, 70563, 65575, 20230, 110498, 30369, 103378, 126194, 5486, 41642, 31431, 30512, 112959, 50834, 121423, 22398, 70563, 65575, 30512, 109832, 31431, 20834, 122101, 17792, 103234, 16556, 103470, 38144, 15682, 26854, 31431, 107515, 9174, 14711, 220, 18, 12, 17, 13, 80050, 70563, 114228, 57183, 20230, 68759, 33710, 78459, 47307, 115592, 30512, 22957, 26854, 17663, 198, 43511, 20230, 109972, 124324, 114363, 103722, 53283, 109375, 71289, 112113, 15682, 101182, 20230, 104087, 56051, 109335, 124897, 9174, 80673, 5486, 117876, 33857, 113115, 39926, 5486, 114392, 26854, 17792, 103234, 30512, 105184, 33563, 103082, 100934, 114435, 15682, 83747, 100604, 101399, 5486, 104662, 62004, 109115, 47307, 115592, 30512, 22957, 26854, 17663, 121142, 103470, 5486, 126913, 116749, 16144, 121101, 32977, 22957, 26854, 109768, 47884, 83301, 33857, 30512, 109215, 19732, 78434, 9174, 50928, 37689, 108761, 103438, 116749, 16144, 121101, 127303, 114598, 36896, 86127, 29295, 71289, 31431, 33541, 66383, 95604, 123646, 62903, 57207, 112193, 26854, 105335, 107446, 114792, 76947, 108167, 103214, 104004, 118733, 5486, 37026, 120577, 117876, 16144, 111044, 30512, 108285, 102639, 5486, 13153, 101544, 54926, 105908, 125545, 9174, 14711, 220, 18, 12, 18, 13, 124939, 104612, 57326, 93488, 114792, 59739, 198, 964, 102832, 109482, 68581, 11972, 114435, 102052, 5486, 104662, 62004, 109115, 76739, 122407, 44971, 120770, 29430, 16144, 107391, 104612, 15682, 48706, 103801, 72342, 25827, 1811, 31958, 105184, 26854, 91482, 113909, 16073, 30512, 110240, 50834, 5486, 116907, 16144, 107391, 104612, 57326, 93488, 30512, 103350, 102321, 54926, 101399, 20230, 5486, 108695, 30512, 16, 118821, 106826, 103830, 103306, 5486, 25580, 30512, 70141, 50834, 106307, 105784, 105908, 109215, 38641, 9174, 108695, 20230, 71289, 33503, 110731, 117876, 126194, 5486, 105994, 116907, 29295, 13153, 101544, 54926, 113009, 54926, 117876, 127303, 104984, 123334, 31431, 125001, 32977, 112391, 110071, 116497, 38641, 9174, 14711, 220, 18, 12, 19, 13, 113739, 101275, 30512, 30832, 64467, 17663, 198, 964, 102832, 109482, 68581, 11972, 114435, 102052, 5486, 45163, 37507, 72718, 101275, 56051, 16995, 102677, 114284, 114792, 103836, 17792, 103234, 29295, 43240, 47884, 5486, 112361, 78228, 114792, 59739, 113850, 56965, 19732, 102769, 108419, 233, 20321, 95, 118368, 108608, 117501, 15682, 5486, 117876, 71289, 72718, 101275, 111363, 102494, 78459, 102832, 38248, 115, 78205, 16073, 20230, 126521, 117375, 30512, 58318, 107290, 120700, 33541, 9174, 53900, 112160, 61337, 102351, 116787, 106272, 5486, 108695, 16144, 37087, 37729, 104088, 110968, 17663, 105908, 103082, 5486, 67645, 103171, 121101, 72661, 71289, 33503, 75694, 30369, 30512, 50928, 100604, 16325, 16556, 5486, 106608, 11883, 123457, 96356, 20230, 100815, 105784, 30926, 29295, 125545, 66327, 72718, 101275, 123410, 66383, 95604, 30832, 105888, 29295, 23187, 17129, 103836, 17792, 103234, 127303, 104984, 5486, 118322, 123628, 21388, 113529, 20230, 30775, 104, 108881, 54926, 100909, 103470, 5486, 89154, 76428, 103906, 52884, 20230, 104584, 50834, 103130, 104127, 16995, 105784, 116497, 38641, 9174, 567, 220, 19, 13, 119594, 43167, 34048, 16906, 111, 102647, 0, 27384, 26130, 30832, 964, 102832, 109482, 68581, 11972, 114435, 93488, 119557, 198, 679, 23, 8107, 21, 9953, 5486, 106613, 111587, 106518, 101275, 66870, 15682, 5486, 102616, 16556, 102669, 16995, 5486, 104284, 125655, 105335, 84477, 122060, 114435, 30512, 21990, 64121, 121216, 5486, 107804, 17039, 109904, 112113, 71289, 91482, 76428, 102750, 22398, 123604, 16556, 102616, 20230, 17039, 102800, 95001, 112603, 30512, 104908, 54926, 106592, 113173, 114267, 36896, 41, 12, 40176, 118587, 105335, 84477, 121256, 1811, 105212, 29295, 119100, 19000, 48634, 16144, 101182, 114435, 30512, 102647, 23187, 15024, 5486, 70821, 56965, 117758, 122521, 30512, 120766, 54926, 118733, 5486, 13153, 101544, 113096, 103130, 109768, 47884, 107420, 109531, 110548, 38641, 9174, 112599, 5486, 29504, 30512, 123680, 102639, 38144, 964, 102832, 109482, 68581, 11972, 114435, 30512, 101662, 38144, 100481, 108895, 102677, 102923, 105226, 29295, 27704, 17129, 103836, 104466, 106116, 122502, 50834, 24273, 20230, 26130, 30832, 29295, 43167, 17129, 76947, 61689, 9174, 102677, 118733, 5486, 104817, 43167, 34048, 16906, 111, 102647, 16144, 37271, 74482, 26130, 118322, 964, 102832, 109482, 68581, 11972, 114435, 30512, 48154, 126362, 78434, 9174, 14711, 220, 19, 12, 16, 13, 52561, 103, 115801, 109054, 66953, 38248, 101, 78767, 78349, 52414, 198, 39850, 125380, 72661, 27479, 104680, 87177, 104482, 108176, 39850, 102472, 102832, 109482, 68581, 11972, 38641, 9174, 118823, 102832, 109482, 68581, 11972, 30512, 104356, 114267, 126330, 118482, 30512, 36668, 48634, 20230, 5486, 118823, 111848, 108285, 58655, 5486, 39850, 125380, 5486, 53953, 114622, 30512, 77413, 87447, 127145, 9174, 124131, 103927, 70141, 76622, 47260, 119263, 78683, 103906, 38248, 113, 121098, 5486, 114567, 5486, 76739, 114483, 39850, 104309, 17039, 102800, 118482, 9458, 45829, 108695, 30512, 102332, 80195, 15024, 13153, 101544, 15024, 106307, 107441, 61689, 9174, 103826, 104680, 26854, 76171, 102514, 16073, 29295, 87447, 113497, 110731, 103846, 5486, 31634, 116696, 48552, 38641, 9174, 14711, 220, 19, 12, 17, 13, 31951, 121450, 198, 37271, 71289, 124131, 103927, 108152, 38248, 114, 11972, 102052, 59614, 116156, 16144, 13177, 8429, 118587, 27704, 62004, 36896, 7476, 3848, 59712, 75, 2270, 10922, 117503, 111234, 52884, 125175, 123863, 118482, 30512, 77413, 87447, 127145, 9174, 112599, 15682, 5486, 114734, 71289, 15836, 125175, 122401, 102416, 32977, 126330, 30512, 27704, 107436, 108086, 115515, 74482, 104405, 13153, 101544, 109768, 47884, 32149, 105465, 21105, 123, 38641, 9174, 14711, 220, 19, 12, 18, 13, 549, 52, 2864, 121450, 198, 2675, 51, 30970, 30512, 104356, 117408, 107167, 76739, 25197, 102514, 16144, 60868, 121057, 71289, 47260, 108304, 119495, 122401, 117824, 103836, 114435, 38641, 9174, 15682, 100204, 62004, 116826, 114867, 38248, 226, 24860, 42, 12173, 691, 104309, 123085, 20251, 103830, 107059, 117718, 108152, 113335, 72369, 112164, 11972, 29295, 125151, 127145, 9174, 37271, 74482, 15682, 5486, 124773, 123437, 67075, 91875, 55723, 101275, 98220, 113245, 115143, 109020, 122908, 39880, 122635, 121453, 47260, 108304, 119495, 5486, 7650, 118482, 16144, 26955, 94, 27384, 30512, 30832, 64467, 15024, 5486, 115143, 109020, 13153, 101544, 29295, 125494, 84389, 33541, 9174, 14711, 220, 19, 12, 19, 13, 116381, 33710, 106240, 121450, 198, 124773, 123437, 67075, 47260, 108304, 119495, 118482, 10110, 102741, 38248, 115, 68581, 33710, 39880, 115507, 102663, 38248, 115, 78205, 16073, 107420, 119732, 126567, 123505, 124773, 123437, 67075, 47260, 68759, 61398, 118482, 320, 8758, 46, 2989, 3931, 916, 123160, 103768, 112167, 340, 679, 23, 8107, 122617, 16144, 118482, 30512, 45829, 108695, 33208, 9174, 76739, 123581, 114676, 16144, 112832, 32977, 29295, 98897, 55723, 32977, 122401, 32977, 111764, 20230, 76706, 109526, 235, 108608, 121606, 33014, 44416, 30512, 105525, 112586, 126020, 5486, 118935, 11883, 105352, 108882, 110993, 109904, 114435, 38641, 9174, 14711, 220, 19, 12, 20, 13, 2939, 18177, 5932, 121450, 198, 124773, 123437, 67075, 108285, 58655, 112113, 16144, 122401, 14, 109713, 60868, 33710, 103906, 94550, 14, 23096, 57933, 48552, 108761, 103438, 50667, 122692, 111234, 52884, 60868, 113649, 117718, 104908, 9174, 44620, 106718, 29295, 117475, 120650, 76947, 57980, 102518, 16321, 2507, 69154, 362, 29266, 220, 679, 23, 36761, 126250, 5486, 102099, 13153, 101544, 5486, 32943, 23187, 74245, 102971, 27479, 16144, 17, 34048, 103722, 126250, 16, 25129, 20230, 102647, 20834, 9174, 53900, 5486, 110022, 40862, 107624, 95001, 77181, 17, 25129, 20230, 102647, 20834, 107001, 50667, 81258, 76706, 21990, 117758, 107624, 95001, 32977, 126574, 114435, 38641, 9174, 41, 12, 40176, 57326, 77750, 32131, 91062, 16144, 66378, 75293, 21990, 20230, 102647, 20834, 116216, 61689, 9174, 14711, 220, 19, 12, 21, 13, 22984, 121450, 198, 13177, 118823, 102895, 103830, 125523, 72516, 56051, 16995, 66383, 95604, 33334, 103760, 115867, 64810, 37823, 52591, 30512, 50834, 42891, 126929, 20230, 36, 47260, 68759, 61398, 125540, 67075, 108526, 103202, 13177, 18957, 118587, 98897, 55723, 5486, 122401, 5486, 103768, 112167, 9174, 102895, 103830, 104817, 43167, 55031, 104662, 111587, 115132, 122086, 22398, 50338, 98871, 5486, 101682, 26130, 9458, 19000, 107086, 40452, 103296, 37087, 38144, 16144, 121432, 30512, 92693, 16556, 104908, 127145, 9174, 110191, 118372, 104662, 111587, 125175, 13177, 60997, 3587, 47, 10646, 71289, 926, 25287, 104662, 111587, 125175, 13177, 60997, 3110, 10646, 98897, 55723, 5486, 122401, 5486, 103768, 112167, 125939, 123470, 5486, 108152, 38248, 114, 11972, 30832, 101911, 16144, 17039, 102800, 60868, 113649, 117718, 77413, 87447, 29295, 95221, 115717, 33541, 9174, 14711, 220, 19, 12, 22, 13, 3658, 68, 121450, 198, 1041, 32307, 71689, 16144, 118482, 32938, 29295, 107740, 54926, 107059, 65299, 45923, 38093, 82420, 102741, 112508, 2822, 11, 16, 16144, 10816, 68, 1811, 679, 23, 8107, 102052, 2397, 117913, 35757, 71689, 16144, 103087, 35330, 104873, 104067, 30512, 104067, 13153, 121256, 1811, 112599, 32977, 108882, 110993, 112535, 118935, 11883, 112415, 117824, 76947, 61689, 9174, 8429, 71289, 102741, 112508, 66953, 116099, 107173, 89046, 120988, 39926, 122401, 71289, 118482, 117824, 76947, 108086, 115515, 74482, 32977, 27384, 26130, 30832, 38641, 9174, 14711, 220, 19, 12, 23, 13, 40971, 77280, 121450, 198, 124807, 76739, 67075, 39880, 115507, 13177, 23550, 10153, 10646, 15682, 5486, 16, 8107, 18, 113746, 16556, 1049, 32307, 99959, 115691, 42634, 65575, 30512, 104584, 105150, 9174, 679, 23, 8107, 24, 9953, 102052, 2131, 125534, 35757, 16144, 103087, 35330, 104873, 104067, 30512, 104067, 13153, 15024, 115132, 115507, 124905, 100472, 113614, 40452, 16144, 101399, 16144, 15836, 122401, 71289, 68408, 66953, 112900, 16144, 122401, 20230, 125494, 29295, 32149, 126469, 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 ]
[ 31809, 30813, 47884, 5486, 102159, 104680, 16144, 114940, 33857, 29295, 119448, 115737, 31431, 33541, 1811, 106613, 112167, 30046, 110792, 124349, 29295, 60358, 47884, 5486, 104346, 33035, 21105, 234, 126521, 114435, 29295, 127181, 38641, 9174, 13177, 125338, 115226, 66383, 95604, 111090, 68408, 39880, 29295, 116907, 16144, 82420, 55723, 19732, 123120, 112212, 5486, 108695, 16144, 60632, 105576, 20230, 74245, 102971, 78434, 9174, 108695, 29295, 13153, 101544, 109768, 119064, 30512, 96356, 60358, 16556, 112391, 110071, 105879, 110745, 112495, 71289, 31431, 125001, 30512, 112391, 30369, 105908, 125545, 9174, 8107, 17860, 33144, 32218, 126194, 5486, 106556, 19732, 111090, 68408, 39880, 114792, 100472, 17792, 103234, 20230, 117876, 30512, 49988, 72342, 100481, 50834, 33541, 105879, 5486, 117876, 16144, 111044, 15682, 108285, 47884, 5486, 47307, 115592, 117120, 22649, 22398, 62903, 33710, 32977, 109415, 30369, 105908, 125545, 9174, 27384, 114435, 71289, 39850, 102472, 102832, 109482, 68581, 11972, 19732, 57106, 103854, 5486, 108695, 37026, 33014, 29295, 127408, 23187, 102677, 28542, 15682, 127408, 31634, 72238, 38641, 9174, 53900, 5486, 17792, 103234, 29295, 102780, 31431, 126386, 114435, 29295, 43240, 47884, 5486, 102159, 104680, 16144, 117876, 16144, 111044, 29295, 108285, 16995, 101399, 5486, 90962, 112164, 25005, 107, 105048, 115717, 29295, 43514, 38641, 1811, 118095, 112008, 23538, 102052, 9080, 104680, 16144, 117120, 22649, 29295, 104862, 16995, 47000, 32149, 101860, 121410, 9080, 108618, 101275, 9458, 117856, 109709, 121423, 102677, 107803, 32977, 101182, 123253, 9174, 102321, 75267, 9458, 118482, 103983, 16144, 114435, 29295, 127181, 101399, 5486, 104378, 114305, 9458, 126356, 112950, 21990, 16144, 28190, 72661, 5486, 16937, 112624, 30512, 112391, 30369, 105908, 101182, 32149, 110241, 33121, 107515, 9174, 567, 220, 17, 12, 17, 13, 48785, 19113, 55031, 91774, 30369, 27384, 114435, 19732, 102832, 109482, 68581, 11972, 114435, 16144, 121953, 198, 33671, 20230, 5486, 103350, 104983, 20230, 27384, 114435, 9458, 102832, 109482, 68581, 11972, 114435, 16144, 123532, 101275, 102351, 9039, 9458, 115274, 8107, 106036, 95, 9458, 115274, 8107, 110226, 102052, 67645, 103171, 121953, 107407, 104865, 5486, 123011, 107436, 64121, 79721, 9174, 27384, 114435, 198, 10110, 109544, 25, 56, 31023, 20066, 0, 41, 2599, 1111, 104774, 25197, 96452, 107446, 220, 679, 24, 8107, 16, 9953, 39177, 28542, 23954, 102832, 109482, 68581, 11972, 114435, 198, 27384, 114435, 77181, 8107, 17860, 33144, 32218, 16144, 123141, 29295, 108618, 103836, 107803, 29295, 43240, 47884, 5486, 8107, 106036, 95, 29295, 45736, 47884, 109020, 107294, 33121, 5486, 8107, 110226, 32977, 115442, 30369, 101427, 122, 70141, 115991, 33541, 29295, 115847, 103378, 16144, 123532, 101275, 102351, 9039, 107809, 16556, 5486, 107734, 107430, 20230, 81258, 50834, 122603, 16995, 8107, 110226, 30512, 50928, 30369, 105908, 108608, 17792, 103234, 15682, 15120, 111665, 31431, 38641, 9174, 58426, 28542, 508, 31640, 71289, 966, 31640, 16144, 105268, 8107, 114050, 72661, 5486, 107734, 107430, 71289, 13153, 28873, 113468, 15682, 102832, 109482, 68581, 11972, 114435, 120332, 29295, 8107, 110226, 29295, 126574, 107803, 32977, 57903, 33541, 9174, 567, 220, 18, 13, 8871, 102832, 109482, 68581, 11972, 114435, 16556, 76706, 109526, 235, 108608, 17792, 103234, 107118, 198, 77181, 103350, 104983, 20230, 964, 102832, 109482, 68581, 11972, 114435, 77181, 5486, 67645, 103171, 22398, 62903, 33710, 71289, 68759, 76171, 45923, 114792, 100472, 17792, 103234, 30512, 32018, 62004, 100934, 105879, 109954, 32149, 9174, 14711, 220, 18, 12, 16, 13, 112562, 9554, 37689, 109375, 30512, 110794, 64810, 122981, 105335, 84477, 108608, 198, 13153, 101544, 15024, 27704, 109013, 122416, 16144, 114435, 77181, 5486, 14167, 100, 65854, 9458, 104378, 120456, 118331, 107908, 30512, 15682, 100204, 62004, 117408, 75146, 114457, 29295, 64531, 107462, 100604, 105908, 36149, 228, 67645, 38641, 9174, 58426, 16325, 16556, 5486, 37026, 33503, 113727, 9458, 123120, 54926, 109335, 115924, 103359, 109904, 77195, 38641, 1811, 16995, 107188, 30369, 39177, 72661, 5486, 89154, 76428, 103906, 52884, 26854, 125456, 30512, 110794, 5486, 103621, 64178, 30512, 116700, 54926, 109335, 32977, 43514, 85791, 25827, 5486, 111681, 104482, 104088, 126268, 100818, 234, 45893, 23951, 37656, 109768, 119064, 32977, 105994, 116907, 38641, 9174, 964, 102832, 109482, 68581, 11972, 114435, 15682, 5486, 40053, 20230, 104721, 33208, 15024, 13153, 101544, 127145, 109807, 22398, 70563, 65575, 20230, 110498, 30369, 103378, 126194, 5486, 41642, 31431, 30512, 112959, 50834, 121423, 22398, 70563, 65575, 30512, 109832, 31431, 20834, 122101, 17792, 103234, 16556, 103470, 38144, 15682, 26854, 31431, 107515, 9174, 14711, 220, 18, 12, 17, 13, 80050, 70563, 114228, 57183, 20230, 68759, 33710, 78459, 47307, 115592, 30512, 22957, 26854, 17663, 198, 43511, 20230, 109972, 124324, 114363, 103722, 53283, 109375, 71289, 112113, 15682, 101182, 20230, 104087, 56051, 109335, 124897, 9174, 80673, 5486, 117876, 33857, 113115, 39926, 5486, 114392, 26854, 17792, 103234, 30512, 105184, 33563, 103082, 100934, 114435, 15682, 83747, 100604, 101399, 5486, 104662, 62004, 109115, 47307, 115592, 30512, 22957, 26854, 17663, 121142, 103470, 5486, 126913, 116749, 16144, 121101, 32977, 22957, 26854, 109768, 47884, 83301, 33857, 30512, 109215, 19732, 78434, 9174, 50928, 37689, 108761, 103438, 116749, 16144, 121101, 127303, 114598, 36896, 86127, 29295, 71289, 31431, 33541, 66383, 95604, 123646, 62903, 57207, 112193, 26854, 105335, 107446, 114792, 76947, 108167, 103214, 104004, 118733, 5486, 37026, 120577, 117876, 16144, 111044, 30512, 108285, 102639, 5486, 13153, 101544, 54926, 105908, 125545, 9174, 14711, 220, 18, 12, 18, 13, 124939, 104612, 57326, 93488, 114792, 59739, 198, 964, 102832, 109482, 68581, 11972, 114435, 102052, 5486, 104662, 62004, 109115, 76739, 122407, 44971, 120770, 29430, 16144, 107391, 104612, 15682, 48706, 103801, 72342, 25827, 1811, 31958, 105184, 26854, 91482, 113909, 16073, 30512, 110240, 50834, 5486, 116907, 16144, 107391, 104612, 57326, 93488, 30512, 103350, 102321, 54926, 101399, 20230, 5486, 108695, 30512, 16, 118821, 106826, 103830, 103306, 5486, 25580, 30512, 70141, 50834, 106307, 105784, 105908, 109215, 38641, 9174, 108695, 20230, 71289, 33503, 110731, 117876, 126194, 5486, 105994, 116907, 29295, 13153, 101544, 54926, 113009, 54926, 117876, 127303, 104984, 123334, 31431, 125001, 32977, 112391, 110071, 116497, 38641, 9174, 14711, 220, 18, 12, 19, 13, 113739, 101275, 30512, 30832, 64467, 17663, 198, 964, 102832, 109482, 68581, 11972, 114435, 102052, 5486, 45163, 37507, 72718, 101275, 56051, 16995, 102677, 114284, 114792, 103836, 17792, 103234, 29295, 43240, 47884, 5486, 112361, 78228, 114792, 59739, 113850, 56965, 19732, 102769, 108419, 233, 20321, 95, 118368, 108608, 117501, 15682, 5486, 117876, 71289, 72718, 101275, 111363, 102494, 78459, 102832, 38248, 115, 78205, 16073, 20230, 126521, 117375, 30512, 58318, 107290, 120700, 33541, 9174, 53900, 112160, 61337, 102351, 116787, 106272, 5486, 108695, 16144, 37087, 37729, 104088, 110968, 17663, 105908, 103082, 5486, 67645, 103171, 121101, 72661, 71289, 33503, 75694, 30369, 30512, 50928, 100604, 16325, 16556, 5486, 106608, 11883, 123457, 96356, 20230, 100815, 105784, 30926, 29295, 125545, 66327, 72718, 101275, 123410, 66383, 95604, 30832, 105888, 29295, 23187, 17129, 103836, 17792, 103234, 127303, 104984, 5486, 118322, 123628, 21388, 113529, 20230, 30775, 104, 108881, 54926, 100909, 103470, 5486, 89154, 76428, 103906, 52884, 20230, 104584, 50834, 103130, 104127, 16995, 105784, 116497, 38641, 9174, 567, 220, 19, 13, 119594, 43167, 34048, 16906, 111, 102647, 0, 27384, 26130, 30832, 964, 102832, 109482, 68581, 11972, 114435, 93488, 119557, 198, 679, 23, 8107, 21, 9953, 5486, 106613, 111587, 106518, 101275, 66870, 15682, 5486, 102616, 16556, 102669, 16995, 5486, 104284, 125655, 105335, 84477, 122060, 114435, 30512, 21990, 64121, 121216, 5486, 107804, 17039, 109904, 112113, 71289, 91482, 76428, 102750, 22398, 123604, 16556, 102616, 20230, 17039, 102800, 95001, 112603, 30512, 104908, 54926, 106592, 113173, 114267, 36896, 41, 12, 40176, 118587, 105335, 84477, 121256, 1811, 105212, 29295, 119100, 19000, 48634, 16144, 101182, 114435, 30512, 102647, 23187, 15024, 5486, 70821, 56965, 117758, 122521, 30512, 120766, 54926, 118733, 5486, 13153, 101544, 113096, 103130, 109768, 47884, 107420, 109531, 110548, 38641, 9174, 112599, 5486, 29504, 30512, 123680, 102639, 38144, 964, 102832, 109482, 68581, 11972, 114435, 30512, 101662, 38144, 100481, 108895, 102677, 102923, 105226, 29295, 27704, 17129, 103836, 104466, 106116, 122502, 50834, 24273, 20230, 26130, 30832, 29295, 43167, 17129, 76947, 61689, 9174, 102677, 118733, 5486, 104817, 43167, 34048, 16906, 111, 102647, 16144, 37271, 74482, 26130, 118322, 964, 102832, 109482, 68581, 11972, 114435, 30512, 48154, 126362, 78434, 9174, 14711, 220, 19, 12, 16, 13, 52561, 103, 115801, 109054, 66953, 38248, 101, 78767, 78349, 52414, 198, 39850, 125380, 72661, 27479, 104680, 87177, 104482, 108176, 39850, 102472, 102832, 109482, 68581, 11972, 38641, 9174, 118823, 102832, 109482, 68581, 11972, 30512, 104356, 114267, 126330, 118482, 30512, 36668, 48634, 20230, 5486, 118823, 111848, 108285, 58655, 5486, 39850, 125380, 5486, 53953, 114622, 30512, 77413, 87447, 127145, 9174, 124131, 103927, 70141, 76622, 47260, 119263, 78683, 103906, 38248, 113, 121098, 5486, 114567, 5486, 76739, 114483, 39850, 104309, 17039, 102800, 118482, 9458, 45829, 108695, 30512, 102332, 80195, 15024, 13153, 101544, 15024, 106307, 107441, 61689, 9174, 103826, 104680, 26854, 76171, 102514, 16073, 29295, 87447, 113497, 110731, 103846, 5486, 31634, 116696, 48552, 38641, 9174, 14711, 220, 19, 12, 17, 13, 31951, 121450, 198, 37271, 71289, 124131, 103927, 108152, 38248, 114, 11972, 102052, 59614, 116156, 16144, 13177, 8429, 118587, 27704, 62004, 36896, 7476, 3848, 59712, 75, 2270, 10922, 117503, 111234, 52884, 125175, 123863, 118482, 30512, 77413, 87447, 127145, 9174, 112599, 15682, 5486, 114734, 71289, 15836, 125175, 122401, 102416, 32977, 126330, 30512, 27704, 107436, 108086, 115515, 74482, 104405, 13153, 101544, 109768, 47884, 32149, 105465, 21105, 123, 38641, 9174, 14711, 220, 19, 12, 18, 13, 549, 52, 2864, 121450, 198, 2675, 51, 30970, 30512, 104356, 117408, 107167, 76739, 25197, 102514, 16144, 60868, 121057, 71289, 47260, 108304, 119495, 122401, 117824, 103836, 114435, 38641, 9174, 15682, 100204, 62004, 116826, 114867, 38248, 226, 24860, 42, 12173, 691, 104309, 123085, 20251, 103830, 107059, 117718, 108152, 113335, 72369, 112164, 11972, 29295, 125151, 127145, 9174, 37271, 74482, 15682, 5486, 124773, 123437, 67075, 91875, 55723, 101275, 98220, 113245, 115143, 109020, 122908, 39880, 122635, 121453, 47260, 108304, 119495, 5486, 7650, 118482, 16144, 26955, 94, 27384, 30512, 30832, 64467, 15024, 5486, 115143, 109020, 13153, 101544, 29295, 125494, 84389, 33541, 9174, 14711, 220, 19, 12, 19, 13, 116381, 33710, 106240, 121450, 198, 124773, 123437, 67075, 47260, 108304, 119495, 118482, 10110, 102741, 38248, 115, 68581, 33710, 39880, 115507, 102663, 38248, 115, 78205, 16073, 107420, 119732, 126567, 123505, 124773, 123437, 67075, 47260, 68759, 61398, 118482, 320, 8758, 46, 2989, 3931, 916, 123160, 103768, 112167, 340, 679, 23, 8107, 122617, 16144, 118482, 30512, 45829, 108695, 33208, 9174, 76739, 123581, 114676, 16144, 112832, 32977, 29295, 98897, 55723, 32977, 122401, 32977, 111764, 20230, 76706, 109526, 235, 108608, 121606, 33014, 44416, 30512, 105525, 112586, 126020, 5486, 118935, 11883, 105352, 108882, 110993, 109904, 114435, 38641, 9174, 14711, 220, 19, 12, 20, 13, 2939, 18177, 5932, 121450, 198, 124773, 123437, 67075, 108285, 58655, 112113, 16144, 122401, 14, 109713, 60868, 33710, 103906, 94550, 14, 23096, 57933, 48552, 108761, 103438, 50667, 122692, 111234, 52884, 60868, 113649, 117718, 104908, 9174, 44620, 106718, 29295, 117475, 120650, 76947, 57980, 102518, 16321, 2507, 69154, 362, 29266, 220, 679, 23, 36761, 126250, 5486, 102099, 13153, 101544, 5486, 32943, 23187, 74245, 102971, 27479, 16144, 17, 34048, 103722, 126250, 16, 25129, 20230, 102647, 20834, 9174, 53900, 5486, 110022, 40862, 107624, 95001, 77181, 17, 25129, 20230, 102647, 20834, 107001, 50667, 81258, 76706, 21990, 117758, 107624, 95001, 32977, 126574, 114435, 38641, 9174, 41, 12, 40176, 57326, 77750, 32131, 91062, 16144, 66378, 75293, 21990, 20230, 102647, 20834, 116216, 61689, 9174, 14711, 220, 19, 12, 21, 13, 22984, 121450, 198, 13177, 118823, 102895, 103830, 125523, 72516, 56051, 16995, 66383, 95604, 33334, 103760, 115867, 64810, 37823, 52591, 30512, 50834, 42891, 126929, 20230, 36, 47260, 68759, 61398, 125540, 67075, 108526, 103202, 13177, 18957, 118587, 98897, 55723, 5486, 122401, 5486, 103768, 112167, 9174, 102895, 103830, 104817, 43167, 55031, 104662, 111587, 115132, 122086, 22398, 50338, 98871, 5486, 101682, 26130, 9458, 19000, 107086, 40452, 103296, 37087, 38144, 16144, 121432, 30512, 92693, 16556, 104908, 127145, 9174, 110191, 118372, 104662, 111587, 125175, 13177, 60997, 3587, 47, 10646, 71289, 926, 25287, 104662, 111587, 125175, 13177, 60997, 3110, 10646, 98897, 55723, 5486, 122401, 5486, 103768, 112167, 125939, 123470, 5486, 108152, 38248, 114, 11972, 30832, 101911, 16144, 17039, 102800, 60868, 113649, 117718, 77413, 87447, 29295, 95221, 115717, 33541, 9174, 14711, 220, 19, 12, 22, 13, 3658, 68, 121450, 198, 1041, 32307, 71689, 16144, 118482, 32938, 29295, 107740, 54926, 107059, 65299, 45923, 38093, 82420, 102741, 112508, 2822, 11, 16, 16144, 10816, 68, 1811, 679, 23, 8107, 102052, 2397, 117913, 35757, 71689, 16144, 103087, 35330, 104873, 104067, 30512, 104067, 13153, 121256, 1811, 112599, 32977, 108882, 110993, 112535, 118935, 11883, 112415, 117824, 76947, 61689, 9174, 8429, 71289, 102741, 112508, 66953, 116099, 107173, 89046, 120988, 39926, 122401, 71289, 118482, 117824, 76947, 108086, 115515, 74482, 32977, 27384, 26130, 30832, 38641, 9174, 14711, 220, 19, 12, 23, 13, 40971, 77280, 121450, 198, 124807, 76739, 67075, 39880, 115507, 13177, 23550, 10153, 10646, 15682, 5486, 16, 8107, 18, 113746, 16556, 1049, 32307, 99959, 115691, 42634, 65575, 30512, 104584, 105150, 9174, 679, 23, 8107, 24, 9953, 102052, 2131, 125534, 35757, 16144, 103087, 35330, 104873, 104067, 30512, 104067, 13153, 15024, 115132, 115507, 124905, 100472, 113614, 40452, 16144, 101399, 16144, 15836, 122401, 71289, 68408, 66953, 112900, 16144, 122401, 20230, 125494, 29295, 32149, 126469, 61689 ]
[ 9174, 41, 12, 40176, 114435, 20230, 102647, 20834, 116216, 61689, 9174, 19, 12, 24, 13, 220, 52561, 103, 115801, 39850, 33710, 71493, 37823, 220, 19, 12, 24, 13, 52561, 103, 115801, 39850, 33710, 71493, 37823, 198, 102433, 112366, 16144, 52591, 37823, 68759, 39880, 115507, 13177, 39850, 33710, 71493, 37823, 118587, 103768, 112167, 54926, 114435, 1811, 102832, 109482, 68581, 108994, 16073, 119557, 104309, 105352, 27479, 104680, 120955, 15024, 5486, 508, 31640, 55031, 966, 31640, 16144, 111482, 30512, 104356, 20230, 9953, 56965, 107740, 30046, 15682, 5894, 15, 32307, 17792, 30512, 72404, 107290, 108086, 5486, 17129, 30813, 20230, 39850, 102472, 102832, 109482, 68581, 11972, 114435, 102083, 105262, 123253, 9174, 66953, 38248, 111, 65575, 114421, 71289, 15836, 111848, 115240, 111800, 52084, 123160, 121432, 23226, 106594, 111848, 39850, 33710, 71493, 37823, 118482, 16144, 104195, 33208, 121142, 103470, 5486, 107391, 116219, 108744, 117903, 16144, 26955, 94, 27384, 121254, 107441, 39850, 33710, 99695, 25197, 118482, 16144, 104195, 33208, 105352, 123457, 16995, 115032, 117840, 9174, 19, 12, 605, 13, 220, 52561, 103, 115801, 1951, 7476, 198, 19, 12, 605, 13, 52561, 103, 115801, 1951, 7476, 198, 102494, 66953, 105621, 11972, 30512, 104356, 20230, 5486, 15836, 118482, 71289, 108768, 33710, 22398, 102663, 39880, 118482, 5486, 124011, 109089, 118482, 102083, 100472, 111044, 108285, 16995, 118482, 77413, 87447, 117824, 76947, 61689, 9174, 15836, 30512, 76706, 11883, 56051, 108768, 33710, 22398, 102663, 39880, 118482, 16144, 112113, 122401, 119775, 5486, 102208, 17620, 102212, 16144, 57207, 96452, 76428, 11972, 8239, 114503, 105352, 26130, 30832, 38641, 9174, 567, 220, 20, 13, 8871, 102832, 109482, 68581, 11972, 114435, 16144, 108152, 78683, 105048, 26854, 126356, 112950, 21990, 198, 126356, 112950, 21990, 16556, 114435, 30512, 102647, 104369, 109335, 111108, 102800, 119627, 110745, 30926, 26854, 102494, 78459, 102832, 38248, 115, 78205, 16073, 122060, 112028, 59739, 108176, 115789, 1811, 110924, 16556, 5486, 111764, 27479, 16144, 126574, 964, 102832, 109482, 68581, 11972, 114435, 105110, 77181, 16144, 108152, 78683, 105048, 26854, 126356, 112950, 21990, 30512, 18, 59739, 48154, 126362, 78434, 9174, 14711, 220, 20, 12, 16, 13, 107384, 34171, 76706, 109526, 235, 113096, 103130, 114305, 9155, 44711, 198, 122502, 47884, 111482, 30512, 106608, 110238, 54926, 114305, 15682, 115079, 107290, 61689, 29295, 5486, 121450, 109054, 66953, 38248, 101, 78767, 78349, 52414, 77181, 5486, 66115, 118821, 114305, 29295, 80805, 26269, 102663, 78767, 101983, 103836, 112973, 66378, 17599, 112, 38641, 1811, 100525, 232, 76706, 55031, 20834, 106518, 74482, 117255, 101662, 38144, 123863, 114305, 103296, 105843, 103350, 103792, 105879, 5486, 111482, 29295, 51385, 64209, 39926, 21105, 96, 107277, 122502, 105784, 117501, 29295, 64531, 76947, 61689, 9174, 14711, 220, 20, 12, 17, 13, 220, 806, 113746, 122502, 102532, 16, 113746, 105677, 104004, 108695, 198, 102756, 105117, 68408, 126590, 121450, 77181, 36896, 103424, 105284, 26854, 68408, 126590, 10110, 39880, 125916, 57326, 67075, 7705, 107118, 5486, 105843, 103350, 56051, 106613, 111186, 10110, 76171, 57326, 67075, 7705, 29295, 30591, 76947, 127105, 21990, 17129, 104028, 102944, 115204, 102677, 113727, 55031, 5486, 16, 113746, 105321, 72661, 53901, 112495, 105908, 108608, 105677, 88399, 229, 30512, 102332, 107441, 61689, 1811, 122502, 50834, 24273, 20230, 22957, 36785, 78183, 30369, 114754, 127181, 102832, 109482, 68581, 11972, 114435, 102052, 5486, 66378, 20230, 101523, 227, 48634, 109904, 114305, 32149, 110241, 33121, 107515, 9174, 14711, 220, 20, 12, 18, 13, 220, 112371, 25827, 16995, 25827, 17792, 30926, 34048, 33208, 82420, 55723, 198, 28190, 101828, 122491, 71493, 104930, 48552, 77181, 36896, 863, 99849, 123410, 32149, 863, 105755, 863, 112832, 117408, 32149, 863, 10646, 30512, 40862, 112690, 20230, 126419, 20230, 122502, 105898, 16995, 114754, 124042, 28190, 30177, 55031, 101682, 105784, 105908, 108608, 13177, 32131, 71634, 80805, 22398, 10646, 104309, 30512, 55487, 52927, 116216, 61689, 1811, 121410, 9080, 15120, 117073, 27384, 103268, 30512, 126419, 20230, 103188, 48154, 17663, 113850, 56965, 15682, 19732, 111243, 27384, 102769, 38641, 123794, 1811, 61337, 102351, 16144, 120208, 20230, 108385, 31431, 114001, 100472, 61337, 102351, 125030, 114598, 108695, 125030, 114598, 57326, 112718, 108176, 114305, 36785, 106046, 61689, 9174, 567, 220, 21, 13, 220, 123011, 62004, 198, 118544, 29295, 16556, 56051, 123253, 32149, 9174, 37271, 18904, 48154, 126362, 56051, 964, 102832, 109482, 68581, 11972, 114435, 15682, 48154, 47884, 15120, 34048, 119627, 108149, 112568, 16144, 107391, 104612, 57326, 93488, 30512, 103350, 102321, 54926, 101399, 16144, 107461, 52414, 15682, 91774, 59739, 107277, 79721, 32149, 95532, 37271, 51330, 112661, 56965, 105352, 123085, 16144, 116414, 32149, 16556, 17039, 102800, 964, 102832, 109482, 68581, 11972, 114435, 29295, 118013, 115442, 31431, 121453, 102800, 112113, 71289, 118482, 29295, 21990, 123606, 5486, 106145, 15120, 106145, 19732, 13153, 101544, 15024, 104721, 33208, 15024, 106307, 107441, 61689, 9174, 114099, 102669, 56051, 16995, 118482, 71289, 117876, 44915, 121142, 103470, 5486, 106613, 112167, 22649, 104611, 71289, 61337, 104346, 104309, 5486, 115364, 22649, 101067, 117408, 122502, 50834, 24273, 19732, 102867, 124949, 114146, 108149, 112568, 16144, 107391, 104612, 57326, 93488, 30512, 103350, 102321, 108608, 114435, 104088, 59739, 107441, 72315, 1811, 128001, 128000, 567, 114137, 30590, 16144, 107624, 95001, 15682, 5486, 50021, 106307, 85188, 16144, 122282, 20230, 119448, 47884, 117375, 54926, 36668, 26854, 119208, 7, 29504, 85188, 91077, 8, 48154, 110792, 13177, 117018, 66383, 13177, 26892, 53953, 10646, 15682, 50021, 106307, 112686, 106518, 16144, 35330, 109518, 16144, 106391, 13153, 57106, 15682, 17297, 61304, 16144, 101200, 117084, 61689, 9174, 117018, 16144, 57106, 96455, 15682, 111717, 115274, 16556, 1987, 113127, 5486, 111344, 29504, 85188, 91077, 36651, 32943, 77181, 3174, 13, 17, 113127, 5486, 116510, 7190, 234, 29504, 85188, 91077, 36651, 32943, 77181, 508, 13, 19, 113127, 104856, 103836, 117840, 1811, 16995, 101860, 33121, 116446, 32977, 5486, 117018, 16144, 107624, 95001, 15682, 5486, 50021, 106307, 85188, 16144, 122282, 20230, 119448, 47884, 117375, 54926, 107803, 29295, 43240, 102334, 62004, 106116, 107624, 95001, 41007, 30512, 37656, 106624, 113954, 54926, 109335, 114318, 111243, 27384, 102769, 38641, 9174, 567, 114137, 30590, 16144, 107624, 95001, 41007, 107118, 95532, 117018, 15682, 5486, 53229, 108630, 103306, 110362, 30590, 5486, 101129, 5486, 40198, 239, 5486, 58911, 102138, 123160, 30590, 30832, 48154, 19732, 20230, 107624, 95001, 78434, 9174, 47095, 101911, 95001, 76868, 19732, 107443, 235, 96455, 76868, 107407, 198, 117018, 16144, 107624, 95001, 41007, 102052, 111476, 47095, 101911, 95001, 76868, 19732, 107443, 235, 96455, 76868, 115991, 33541, 9174, 45048, 198, 47095, 101911, 95001, 76868, 198, 47095, 101911, 95001, 76868, 15682, 5486, 47095, 101911, 95001, 29295, 23187, 62004, 125398, 119208, 16144, 107624, 95001, 41007, 38641, 1811, 47095, 101911, 95001, 107118, 5486, 47095, 101911, 7, 117273, 8, 20230, 28190, 54926, 123782, 109904, 110362, 30590, 16144, 16, 112396, 39850, 84477, 33710, 40265, 28713, 111331, 95001, 109518, 16144, 118733, 5486, 103633, 35757, 110904, 25129, 16556, 52563, 127145, 9174, 47095, 101911, 95001, 76868, 122692, 117018, 16144, 95001, 109518, 15682, 5486, 47095, 101911, 95001, 30512, 58426, 117018, 16144, 83799, 103397, 50667, 20230, 106608, 100204, 28713, 105665, 23039, 121374, 111983, 37656, 96455, 123160, 102208, 104091, 111983, 37656, 96455, 16556, 111983, 37656, 56051, 123090, 106116, 117018, 16144, 124175, 30512, 110498, 100204, 38144, 122282, 78434, 9174, 47095, 101911, 95001, 25800, 118752, 104091, 111983, 37656, 96455, 25800, 112972, 108882, 104023, 118665, 109518, 198, 117018, 107624, 95001, 198, 98406, 96455, 76868, 198, 98406, 96455, 76868, 15682, 5486, 47095, 101911, 95001, 29295, 23187, 62004, 102204, 126386, 119208, 16144, 107624, 95001, 41007, 38641, 1811, 98406, 96455, 76868, 122692, 117018, 16144, 95001, 109518, 15682, 106116, 117018, 16144, 124108, 103087, 106518, 85188, 107624, 95001, 109518, 7, 72368, 85188, 123357, 32938, 5486, 23530, 24775, 107734, 32938, 102420, 15682, 102865, 101634, 107734, 75267, 104309, 16556, 114140, 8, 20230, 111419, 16144, 98406, 96455, 30512, 110498, 100204, 38144, 122282, 78434, 9174, 124108, 103087, 106518, 85188, 107624, 95001, 109518, 25800, 107443, 235, 96455, 63923, 251, 118665, 109518, 198, 7, 121846, 5232, 46729, 102571, 16144, 107624, 95001, 340, 124108, 103087, 106518, 85188, 107624, 95001, 109518, 20230, 16, 13, 15, 98406, 39926, 107624, 95001, 78434, 1811, 56051, 29295, 76947, 106116, 107624, 95001, 109518, 15682, 124108, 103087, 106518, 85188, 107624, 95001, 109518, 19732, 112361, 38641, 59459, 29504, 85188, 11795, 223, 6748, 105755, 23954, 567, 114137, 30590, 107624, 95001, 41007, 16144, 120098, 15682, 95532, 47095, 101911, 95001, 76868, 111848, 107624, 95001, 15682, 5486, 47095, 101911, 95001, 30512, 58426, 117018, 16144, 83799, 103397, 50667, 20230, 106608, 100204, 28713, 105665, 23039, 121374, 111983, 37656, 96455, 123160, 102208, 104091, 111983, 37656, 96455, 16556, 111983, 37656, 56051, 123090, 106116, 117018, 16144, 124175, 30512, 110498, 100204, 38144, 122282, 78434, 105879, 111476, 117018, 16144, 83799, 103397, 20230, 106608, 100204, 28713, 111983, 37656, 30512, 16995, 111201, 37656, 106624, 76706, 11883, 108608, 32149, 114137, 30590, 16144, 83799, 103397, 20230, 106608, 100204, 28713, 111983, 37656, 30512, 16995, 111201, 37656, 106624, 76706, 11883, 108608, 32149, 5486, 29295, 120098, 103195, 19732, 78244, 58942, 33541, 9174, 567, 114137, 30590, 127253, 117018, 120938, 20230, 25359, 54926, 112607, 60632, 16144, 107624, 95001, 109853, 16144, 104873, 64531, 96455, 21405, 7, 102208, 104091, 111983, 37656, 96455, 8, 36668, 26854, 102208, 104091, 111983, 37656, 96455, 15682, 17297, 61304, 16144, 19732, 108086, 38641, 9174, 118075, 124306, 23039, 121374, 111983, 37656, 96455, 31195, 114485, 109518, 111983, 37656, 198, 105665, 23039, 29295, 101544, 120195, 115926, 5486, 106649, 120195, 115926, 54926, 107803, 16144, 111983, 37656, 198, 119560, 108837, 112, 24273, 47095, 101911, 117375, 21601, 70203, 96455, 31195, 115079, 109518, 111983, 37656, 198, 64936, 30590, 104309, 5486, 37656, 28190, 117273, 16144, 110366, 28190, 32977, 117273, 20230, 28190, 103792, 107803, 16144, 111983, 37656, 198, 126892, 104465, 24273, 47095, 101911, 117375, 21601, 70203, 96455, 31195, 115079, 109518, 111983, 37656, 198, 37656, 28190, 117273, 16144, 118124, 28190, 7, 95543, 103359, 110366, 8, 32977, 117273, 20230, 28190, 103792, 107803, 16144, 111983, 37656, 198, 49412, 96, 105357, 241, 40526, 101462, 255, 31809, 111983, 37656, 96455, 31195, 114485, 109518, 111983, 37656, 198, 117273, 20230, 28190, 103792, 124349, 7, 56965, 40526, 124349, 8, 29295, 72342, 17129, 16995, 107803, 16144, 111983, 37656, 198, 49412, 97, 124306, 23039, 101544, 27384, 111983, 37656, 96455, 31195, 114485, 109518, 111983, 37656, 198, 56965, 40526, 124349, 113115, 39926, 105665, 23039, 124349, 29295, 101544, 16995, 107803, 16144, 111983, 37656, 7, 124306, 23039, 124349, 1717, 115, 105357, 241, 40526, 124349, 340, 49412, 98, 87109, 64531, 83799, 30590, 111983, 37656, 96455, 31195, 114485, 109518, 111983, 37656, 198, 117018, 16144, 83799, 103397, 29295, 37656, 24273, 83799, 71289, 101544, 24273, 83799, 111769, 5486, 16937, 64531, 83799, 26854, 117018, 16144, 107803, 16144, 111983, 37656, 198, 49412, 99, 107824, 117273, 112603, 111983, 37656, 96455, 31195, 114485, 109518, 111983, 37656, 198, 117273, 20230, 30177, 109768, 100604, 107803, 16144, 111983, 37656, 198, 49412, 100, 108911, 76622, 30590, 111983, 37656, 96455, 31195, 114485, 109518, 111983, 37656, 198, 29295, 76622, 30590, 103195, 107803, 16144, 111983, 37656, 198, 49412, 101, 106198, 237, 54872, 35083, 104364, 111983, 37656, 96455, 31195, 114485, 109518, 111983, 37656, 198, 30590, 108882, 106045, 54872, 126636, 112495, 110362, 30590, 20230, 109638, 40265, 54926, 107803, 198, 17905, 61304, 116749, 105352, 115408, 45893, 16144, 107624, 95001, 71289, 37729, 108882, 96455, 16144, 108901, 109020, 17, 71689, 16144, 119208, 20230, 78183, 28713, 30369, 110362, 30590, 123160, 111983, 37656, 32977, 57903, 33541, 9174, 7, 121846, 8, 108477, 123, 64531, 96455, 21405, 320, 17297, 61304, 5232, 29504, 85188, 11795, 223, 6748, 116974, 340, 117018, 127253, 117018, 120938, 20230, 25359, 54926, 112607, 60632, 16144, 107624, 95001, 109853, 16144, 104873, 64531, 96455, 21405, 121780, 966, 8107, 17620, 23897, 104989, 11883, 23954, 53900, 5486, 118789, 9554, 102052, 107624, 95001, 122282, 15682, 5486, 17297, 61304, 31958, 104398, 102181, 30512, 38129, 78434, 97999, 17297, 61304, 5232, 29504, 85188, 11795, 223, 6748, 116974, 340, 117018, 127253, 117018, 120938, 20230, 25359, 54926, 112607, 60632, 16144, 107624, 95001, 31958, 104398, 102181, 198, 115079, 109518, 111983, 37656, 108176, 102944, 15682, 17, 59739, 116787, 5486, 114485, 109518, 111983, 37656, 15682, 22, 59739, 71689, 121711, 33541, 9174, 51330, 198, 114485, 109518, 111983, 37656, 30512, 37656, 106624, 19361, 126120, 20230, 76706, 11883, 108608, 32149, 104405, 32149, 29295, 5486, 50021, 106307, 85188, 30512, 114485, 33503, 17663, 17905, 16556, 27384, 104721, 107693, 26854, 120098, 121711, 33541, 9174, 17905, 61304, 116749, 105352, 114140, 39926, 33334, 105898, 16995, 126465, 115991, 33541, 1811, 59614, 101860, 15024, 32977, 114485, 109518, 117282, 117735, 77181, 124897, 29295, 5486, 17297, 61304, 120950, 126465, 15682, 114140, 39926, 33334, 105898, 16995, 44915, 38641, 9174, 105522, 240, 79785, 29295, 106266, 102800, 104309, 5486, 114485, 109518, 16144, 125396, 107407, 105879, 114140, 39926, 33334, 105898, 16995, 126465, 220, 118075, 118830, 47884, 20230, 45736, 121819, 101911, 29295, 33035, 103836, 126465, 220, 119560, 18630, 101, 240, 79785, 29295, 106266, 102800, 126465, 198, 126892, 114137, 45826, 234, 21980, 248, 108208, 29295, 106266, 102800, 126465, 198, 49412, 96, 117604, 47095, 110792, 122756, 53610, 47095, 107407, 126465, 198, 49412, 97, 113978, 67075, 66953, 48552, 30512, 109215, 117408, 126465, 198, 49412, 98, 117303, 23530, 82420, 55723, 117273, 103911, 23187, 30590, 16144, 118992, 32943, 117083, 126465, 198, 104309, 38641, 9174, 114950, 105352, 5486, 117018, 16144, 117032, 16144, 107740, 113115, 39926, 68759, 25197, 96452, 22398, 121711, 120550, 30926, 105904, 115991, 79721, 33503 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 41, 12, 40176, 114435, 20230, 102647, 20834, 116216, 61689, 9174, 19, 12, 24, 13, 220, 52561, 103, 115801, 39850, 33710, 71493, 37823, 220, 19, 12, 24, 13, 52561, 103, 115801, 39850, 33710, 71493, 37823, 198, 102433, 112366, 16144, 52591, 37823, 68759, 39880, 115507, 13177, 39850, 33710, 71493, 37823, 118587, 103768, 112167, 54926, 114435, 1811, 102832, 109482, 68581, 108994, 16073, 119557, 104309, 105352, 27479, 104680, 120955, 15024, 5486, 508, 31640, 55031, 966, 31640, 16144, 111482, 30512, 104356, 20230, 9953, 56965, 107740, 30046, 15682, 5894, 15, 32307, 17792, 30512, 72404, 107290, 108086, 5486, 17129, 30813, 20230, 39850, 102472, 102832, 109482, 68581, 11972, 114435, 102083, 105262, 123253, 9174, 66953, 38248, 111, 65575, 114421, 71289, 15836, 111848, 115240, 111800, 52084, 123160, 121432, 23226, 106594, 111848, 39850, 33710, 71493, 37823, 118482, 16144, 104195, 33208, 121142, 103470, 5486, 107391, 116219, 108744, 117903, 16144, 26955, 94, 27384, 121254, 107441, 39850, 33710, 99695, 25197, 118482, 16144, 104195, 33208, 105352, 123457, 16995, 115032, 117840, 9174, 19, 12, 605, 13, 220, 52561, 103, 115801, 1951, 7476, 198, 19, 12, 605, 13, 52561, 103, 115801, 1951, 7476, 198, 102494, 66953, 105621, 11972, 30512, 104356, 20230, 5486, 15836, 118482, 71289, 108768, 33710, 22398, 102663, 39880, 118482, 5486, 124011, 109089, 118482, 102083, 100472, 111044, 108285, 16995, 118482, 77413, 87447, 117824, 76947, 61689, 9174, 15836, 30512, 76706, 11883, 56051, 108768, 33710, 22398, 102663, 39880, 118482, 16144, 112113, 122401, 119775, 5486, 102208, 17620, 102212, 16144, 57207, 96452, 76428, 11972, 8239, 114503, 105352, 26130, 30832, 38641, 9174, 567, 220, 20, 13, 8871, 102832, 109482, 68581, 11972, 114435, 16144, 108152, 78683, 105048, 26854, 126356, 112950, 21990, 198, 126356, 112950, 21990, 16556, 114435, 30512, 102647, 104369, 109335, 111108, 102800, 119627, 110745, 30926, 26854, 102494, 78459, 102832, 38248, 115, 78205, 16073, 122060, 112028, 59739, 108176, 115789, 1811, 110924, 16556, 5486, 111764, 27479, 16144, 126574, 964, 102832, 109482, 68581, 11972, 114435, 105110, 77181, 16144, 108152, 78683, 105048, 26854, 126356, 112950, 21990, 30512, 18, 59739, 48154, 126362, 78434, 9174, 14711, 220, 20, 12, 16, 13, 107384, 34171, 76706, 109526, 235, 113096, 103130, 114305, 9155, 44711, 198, 122502, 47884, 111482, 30512, 106608, 110238, 54926, 114305, 15682, 115079, 107290, 61689, 29295, 5486, 121450, 109054, 66953, 38248, 101, 78767, 78349, 52414, 77181, 5486, 66115, 118821, 114305, 29295, 80805, 26269, 102663, 78767, 101983, 103836, 112973, 66378, 17599, 112, 38641, 1811, 100525, 232, 76706, 55031, 20834, 106518, 74482, 117255, 101662, 38144, 123863, 114305, 103296, 105843, 103350, 103792, 105879, 5486, 111482, 29295, 51385, 64209, 39926, 21105, 96, 107277, 122502, 105784, 117501, 29295, 64531, 76947, 61689, 9174, 14711, 220, 20, 12, 17, 13, 220, 806, 113746, 122502, 102532, 16, 113746, 105677, 104004, 108695, 198, 102756, 105117, 68408, 126590, 121450, 77181, 36896, 103424, 105284, 26854, 68408, 126590, 10110, 39880, 125916, 57326, 67075, 7705, 107118, 5486, 105843, 103350, 56051, 106613, 111186, 10110, 76171, 57326, 67075, 7705, 29295, 30591, 76947, 127105, 21990, 17129, 104028, 102944, 115204, 102677, 113727, 55031, 5486, 16, 113746, 105321, 72661, 53901, 112495, 105908, 108608, 105677, 88399, 229, 30512, 102332, 107441, 61689, 1811, 122502, 50834, 24273, 20230, 22957, 36785, 78183, 30369, 114754, 127181, 102832, 109482, 68581, 11972, 114435, 102052, 5486, 66378, 20230, 101523, 227, 48634, 109904, 114305, 32149, 110241, 33121, 107515, 9174, 14711, 220, 20, 12, 18, 13, 220, 112371, 25827, 16995, 25827, 17792, 30926, 34048, 33208, 82420, 55723, 198, 28190, 101828, 122491, 71493, 104930, 48552, 77181, 36896, 863, 99849, 123410, 32149, 863, 105755, 863, 112832, 117408, 32149, 863, 10646, 30512, 40862, 112690, 20230, 126419, 20230, 122502, 105898, 16995, 114754, 124042, 28190, 30177, 55031, 101682, 105784, 105908, 108608, 13177, 32131, 71634, 80805, 22398, 10646, 104309, 30512, 55487, 52927, 116216, 61689, 1811, 121410, 9080, 15120, 117073, 27384, 103268, 30512, 126419, 20230, 103188, 48154, 17663, 113850, 56965, 15682, 19732, 111243, 27384, 102769, 38641, 123794, 1811, 61337, 102351, 16144, 120208, 20230, 108385, 31431, 114001, 100472, 61337, 102351, 125030, 114598, 108695, 125030, 114598, 57326, 112718, 108176, 114305, 36785, 106046, 61689, 9174, 567, 220, 21, 13, 220, 123011, 62004, 198, 118544, 29295, 16556, 56051, 123253, 32149, 9174, 37271, 18904, 48154, 126362, 56051, 964, 102832, 109482, 68581, 11972, 114435, 15682, 48154, 47884, 15120, 34048, 119627, 108149, 112568, 16144, 107391, 104612, 57326, 93488, 30512, 103350, 102321, 54926, 101399, 16144, 107461, 52414, 15682, 91774, 59739, 107277, 79721, 32149, 95532, 37271, 51330, 112661, 56965, 105352, 123085, 16144, 116414, 32149, 16556, 17039, 102800, 964, 102832, 109482, 68581, 11972, 114435, 29295, 118013, 115442, 31431, 121453, 102800, 112113, 71289, 118482, 29295, 21990, 123606, 5486, 106145, 15120, 106145, 19732, 13153, 101544, 15024, 104721, 33208, 15024, 106307, 107441, 61689, 9174, 114099, 102669, 56051, 16995, 118482, 71289, 117876, 44915, 121142, 103470, 5486, 106613, 112167, 22649, 104611, 71289, 61337, 104346, 104309, 5486, 115364, 22649, 101067, 117408, 122502, 50834, 24273, 19732, 102867, 124949, 114146, 108149, 112568, 16144, 107391, 104612, 57326, 93488, 30512, 103350, 102321, 108608, 114435, 104088, 59739, 107441, 72315, 1811, 128001, 128000, 567, 114137, 30590, 16144, 107624, 95001, 15682, 5486, 50021, 106307, 85188, 16144, 122282, 20230, 119448, 47884, 117375, 54926, 36668, 26854, 119208, 7, 29504, 85188, 91077, 8, 48154, 110792, 13177, 117018, 66383, 13177, 26892, 53953, 10646, 15682, 50021, 106307, 112686, 106518, 16144, 35330, 109518, 16144, 106391, 13153, 57106, 15682, 17297, 61304, 16144, 101200, 117084, 61689, 9174, 117018, 16144, 57106, 96455, 15682, 111717, 115274, 16556, 1987, 113127, 5486, 111344, 29504, 85188, 91077, 36651, 32943, 77181, 3174, 13, 17, 113127, 5486, 116510, 7190, 234, 29504, 85188, 91077, 36651, 32943, 77181, 508, 13, 19, 113127, 104856, 103836, 117840, 1811, 16995, 101860, 33121, 116446, 32977, 5486, 117018, 16144, 107624, 95001, 15682, 5486, 50021, 106307, 85188, 16144, 122282, 20230, 119448, 47884, 117375, 54926, 107803, 29295, 43240, 102334, 62004, 106116, 107624, 95001, 41007, 30512, 37656, 106624, 113954, 54926, 109335, 114318, 111243, 27384, 102769, 38641, 9174, 567, 114137, 30590, 16144, 107624, 95001, 41007, 107118, 95532, 117018, 15682, 5486, 53229, 108630, 103306, 110362, 30590, 5486, 101129, 5486, 40198, 239, 5486, 58911, 102138, 123160, 30590, 30832, 48154, 19732, 20230, 107624, 95001, 78434, 9174, 47095, 101911, 95001, 76868, 19732, 107443, 235, 96455, 76868, 107407, 198, 117018, 16144, 107624, 95001, 41007, 102052, 111476, 47095, 101911, 95001, 76868, 19732, 107443, 235, 96455, 76868, 115991, 33541, 9174, 45048, 198, 47095, 101911, 95001, 76868, 198, 47095, 101911, 95001, 76868, 15682, 5486, 47095, 101911, 95001, 29295, 23187, 62004, 125398, 119208, 16144, 107624, 95001, 41007, 38641, 1811, 47095, 101911, 95001, 107118, 5486, 47095, 101911, 7, 117273, 8, 20230, 28190, 54926, 123782, 109904, 110362, 30590, 16144, 16, 112396, 39850, 84477, 33710, 40265, 28713, 111331, 95001, 109518, 16144, 118733, 5486, 103633, 35757, 110904, 25129, 16556, 52563, 127145, 9174, 47095, 101911, 95001, 76868, 122692, 117018, 16144, 95001, 109518, 15682, 5486, 47095, 101911, 95001, 30512, 58426, 117018, 16144, 83799, 103397, 50667, 20230, 106608, 100204, 28713, 105665, 23039, 121374, 111983, 37656, 96455, 123160, 102208, 104091, 111983, 37656, 96455, 16556, 111983, 37656, 56051, 123090, 106116, 117018, 16144, 124175, 30512, 110498, 100204, 38144, 122282, 78434, 9174, 47095, 101911, 95001, 25800, 118752, 104091, 111983, 37656, 96455, 25800, 112972, 108882, 104023, 118665, 109518, 198, 117018, 107624, 95001, 198, 98406, 96455, 76868, 198, 98406, 96455, 76868, 15682, 5486, 47095, 101911, 95001, 29295, 23187, 62004, 102204, 126386, 119208, 16144, 107624, 95001, 41007, 38641, 1811, 98406, 96455, 76868, 122692, 117018, 16144, 95001, 109518, 15682, 106116, 117018, 16144, 124108, 103087, 106518, 85188, 107624, 95001, 109518, 7, 72368, 85188, 123357, 32938, 5486, 23530, 24775, 107734, 32938, 102420, 15682, 102865, 101634, 107734, 75267, 104309, 16556, 114140, 8, 20230, 111419, 16144, 98406, 96455, 30512, 110498, 100204, 38144, 122282, 78434, 9174, 124108, 103087, 106518, 85188, 107624, 95001, 109518, 25800, 107443, 235, 96455, 63923, 251, 118665, 109518, 198, 7, 121846, 5232, 46729, 102571, 16144, 107624, 95001, 340, 124108, 103087, 106518, 85188, 107624, 95001, 109518, 20230, 16, 13, 15, 98406, 39926, 107624, 95001, 78434, 1811, 56051, 29295, 76947, 106116, 107624, 95001, 109518, 15682, 124108, 103087, 106518, 85188, 107624, 95001, 109518, 19732, 112361, 38641, 59459, 29504, 85188, 11795, 223, 6748, 105755, 23954, 567, 114137, 30590, 107624, 95001, 41007, 16144, 120098, 15682, 95532, 47095, 101911, 95001, 76868, 111848, 107624, 95001, 15682, 5486, 47095, 101911, 95001, 30512, 58426, 117018, 16144, 83799, 103397, 50667, 20230, 106608, 100204, 28713, 105665, 23039, 121374, 111983, 37656, 96455, 123160, 102208, 104091, 111983, 37656, 96455, 16556, 111983, 37656, 56051, 123090, 106116, 117018, 16144, 124175, 30512, 110498, 100204, 38144, 122282, 78434, 105879, 111476, 117018, 16144, 83799, 103397, 20230, 106608, 100204, 28713, 111983, 37656, 30512, 16995, 111201, 37656, 106624, 76706, 11883, 108608, 32149, 114137, 30590, 16144, 83799, 103397, 20230, 106608, 100204, 28713, 111983, 37656, 30512, 16995, 111201, 37656, 106624, 76706, 11883, 108608, 32149, 5486, 29295, 120098, 103195, 19732, 78244, 58942, 33541, 9174, 567, 114137, 30590, 127253, 117018, 120938, 20230, 25359, 54926, 112607, 60632, 16144, 107624, 95001, 109853, 16144, 104873, 64531, 96455, 21405, 7, 102208, 104091, 111983, 37656, 96455, 8, 36668, 26854, 102208, 104091, 111983, 37656, 96455, 15682, 17297, 61304, 16144, 19732, 108086, 38641, 9174, 118075, 124306, 23039, 121374, 111983, 37656, 96455, 31195, 114485, 109518, 111983, 37656, 198, 105665, 23039, 29295, 101544, 120195, 115926, 5486, 106649, 120195, 115926, 54926, 107803, 16144, 111983, 37656, 198, 119560, 108837, 112, 24273, 47095, 101911, 117375, 21601, 70203, 96455, 31195, 115079, 109518, 111983, 37656, 198, 64936, 30590, 104309, 5486, 37656, 28190, 117273, 16144, 110366, 28190, 32977, 117273, 20230, 28190, 103792, 107803, 16144, 111983, 37656, 198, 126892, 104465, 24273, 47095, 101911, 117375, 21601, 70203, 96455, 31195, 115079, 109518, 111983, 37656, 198, 37656, 28190, 117273, 16144, 118124, 28190, 7, 95543, 103359, 110366, 8, 32977, 117273, 20230, 28190, 103792, 107803, 16144, 111983, 37656, 198, 49412, 96, 105357, 241, 40526, 101462, 255, 31809, 111983, 37656, 96455, 31195, 114485, 109518, 111983, 37656, 198, 117273, 20230, 28190, 103792, 124349, 7, 56965, 40526, 124349, 8, 29295, 72342, 17129, 16995, 107803, 16144, 111983, 37656, 198, 49412, 97, 124306, 23039, 101544, 27384, 111983, 37656, 96455, 31195, 114485, 109518, 111983, 37656, 198, 56965, 40526, 124349, 113115, 39926, 105665, 23039, 124349, 29295, 101544, 16995, 107803, 16144, 111983, 37656, 7, 124306, 23039, 124349, 1717, 115, 105357, 241, 40526, 124349, 340, 49412, 98, 87109, 64531, 83799, 30590, 111983, 37656, 96455, 31195, 114485, 109518, 111983, 37656, 198, 117018, 16144, 83799, 103397, 29295, 37656, 24273, 83799, 71289, 101544, 24273, 83799, 111769, 5486, 16937, 64531, 83799, 26854, 117018, 16144, 107803, 16144, 111983, 37656, 198, 49412, 99, 107824, 117273, 112603, 111983, 37656, 96455, 31195, 114485, 109518, 111983, 37656, 198, 117273, 20230, 30177, 109768, 100604, 107803, 16144, 111983, 37656, 198, 49412, 100, 108911, 76622, 30590, 111983, 37656, 96455, 31195, 114485, 109518, 111983, 37656, 198, 29295, 76622, 30590, 103195, 107803, 16144, 111983, 37656, 198, 49412, 101, 106198, 237, 54872, 35083, 104364, 111983, 37656, 96455, 31195, 114485, 109518, 111983, 37656, 198, 30590, 108882, 106045, 54872, 126636, 112495, 110362, 30590, 20230, 109638, 40265, 54926, 107803, 198, 17905, 61304, 116749, 105352, 115408, 45893, 16144, 107624, 95001, 71289, 37729, 108882, 96455, 16144, 108901, 109020, 17, 71689, 16144, 119208, 20230, 78183, 28713, 30369, 110362, 30590, 123160, 111983, 37656, 32977, 57903, 33541, 9174, 7, 121846, 8, 108477, 123, 64531, 96455, 21405, 320, 17297, 61304, 5232, 29504, 85188, 11795, 223, 6748, 116974, 340, 117018, 127253, 117018, 120938, 20230, 25359, 54926, 112607, 60632, 16144, 107624, 95001, 109853, 16144, 104873, 64531, 96455, 21405, 121780, 966, 8107, 17620, 23897, 104989, 11883, 23954, 53900, 5486, 118789, 9554, 102052, 107624, 95001, 122282, 15682, 5486, 17297, 61304, 31958, 104398, 102181, 30512, 38129, 78434, 97999, 17297, 61304, 5232, 29504, 85188, 11795, 223, 6748, 116974, 340, 117018, 127253, 117018, 120938, 20230, 25359, 54926, 112607, 60632, 16144, 107624, 95001, 31958, 104398, 102181, 198, 115079, 109518, 111983, 37656, 108176, 102944, 15682, 17, 59739, 116787, 5486, 114485, 109518, 111983, 37656, 15682, 22, 59739, 71689, 121711, 33541, 9174, 51330, 198, 114485, 109518, 111983, 37656, 30512, 37656, 106624, 19361, 126120, 20230, 76706, 11883, 108608, 32149, 104405, 32149, 29295, 5486, 50021, 106307, 85188, 30512, 114485, 33503, 17663, 17905, 16556, 27384, 104721, 107693, 26854, 120098, 121711, 33541, 9174, 17905, 61304, 116749, 105352, 114140, 39926, 33334, 105898, 16995, 126465, 115991, 33541, 1811, 59614, 101860, 15024, 32977, 114485, 109518, 117282, 117735, 77181, 124897, 29295, 5486, 17297, 61304, 120950, 126465, 15682, 114140, 39926, 33334, 105898, 16995, 44915, 38641, 9174, 105522, 240, 79785, 29295, 106266, 102800, 104309, 5486, 114485, 109518, 16144, 125396, 107407, 105879, 114140, 39926, 33334, 105898, 16995, 126465, 220, 118075, 118830, 47884, 20230, 45736, 121819, 101911, 29295, 33035, 103836, 126465, 220, 119560, 18630, 101, 240, 79785, 29295, 106266, 102800, 126465, 198, 126892, 114137, 45826, 234, 21980, 248, 108208, 29295, 106266, 102800, 126465, 198, 49412, 96, 117604, 47095, 110792, 122756, 53610, 47095, 107407, 126465, 198, 49412, 97, 113978, 67075, 66953, 48552, 30512, 109215, 117408, 126465, 198, 49412, 98, 117303, 23530, 82420, 55723, 117273, 103911, 23187, 30590, 16144, 118992, 32943, 117083, 126465, 198, 104309, 38641, 9174, 114950, 105352, 5486, 117018, 16144, 117032, 16144, 107740, 113115, 39926, 68759, 25197, 96452, 22398, 121711, 120550, 30926, 105904, 115991, 79721, 33503 ]
[ 5486, 114485, 109518, 108608, 125396, 32977, 57903, 50928, 33541, 105879, 5486, 104611, 16144, 103846, 5486, 114140, 54926, 106592, 33334, 53508, 100, 62004, 78434, 9174, 567, 87109, 91875, 106518, 124140, 23187, 101559, 111848, 124140, 23187, 107624, 95001, 126738, 5486, 122225, 29295, 111108, 102800, 107803, 102052, 5486, 16937, 91875, 106518, 124140, 23187, 101559, 111848, 124140, 23187, 107624, 95001, 29295, 19361, 126120, 117282, 107803, 32977, 57903, 33541, 1811, 124140, 23187, 107624, 95001, 102052, 106382, 11883, 29295, 102404, 21990, 78434, 29295, 5486, 114485, 109518, 8239, 114503, 29295, 119448, 16995, 107803, 102052, 5486, 76706, 11883, 30512, 111800, 118219, 120837, 57980, 117714, 111769, 123253, 32149, 9174, 50021, 106307, 85188, 16144, 102782, 58655, 15682, 108008, 20230, 109242, 122202, 26854, 103846, 5486, 85188, 22649, 101559, 50667, 16144, 114363, 103722, 46729, 102416, 103963, 117943, 54926, 126465, 29295, 102717, 19732, 124592, 36785, 106046, 61689, 1811, 117018, 112649, 124233, 121140, 111476, 67645, 103171, 31809, 30813, 26854, 108134, 72661, 5486, 108608, 48249, 31431, 5486, 59330, 224, 103722, 46729, 102416, 108044, 105262, 104466, 64209, 29295, 107441, 17297, 65316, 1811, 112073, 98369, 112028, 78244, 16556, 5486, 50021, 106307, 85188, 109518, 20230, 117375, 125334, 30369, 100909, 108176, 32149, 32977, 53283, 33121, 107515, 1811, 128001, 128000, 125559, 16786, 198, 2, 109283, 48915, 16786, 27951, 96, 47260, 101198, 104926, 125559, 16786, 39880, 71493, 65299, 52414, 125104, 37026, 33014, 15682, 92693, 16144, 101275, 30046, 29295, 27384, 105494, 38641, 55031, 1981, 9174, 44971, 66953, 44971, 26269, 76428, 19732, 127173, 115032, 102944, 15682, 5486, 1569, 99, 1569, 116, 30512, 71289, 31431, 103130, 109315, 16325, 16556, 40053, 20230, 107740, 107001, 123141, 118816, 117952, 33121, 33541, 29295, 5486, 26130, 105557, 104526, 109315, 103087, 35330, 71689, 16144, 20251, 44971, 65575, 29295, 88367, 36785, 102677, 118733, 5486, 126654, 107188, 110322, 26955, 254, 35330, 38641, 48154, 16995, 60632, 105576, 30512, 21990, 64121, 121406, 115789, 125494, 125545, 9174, 8673, 19, 15682, 102616, 102208, 29504, 16556, 121819, 105987, 112535, 43240, 119064, 17792, 20230, 33655, 78183, 115032, 125559, 16786, 115681, 105525, 107691, 103223, 64178, 36785, 102677, 102321, 103397, 32977, 30591, 76947, 5486, 115681, 105525, 107691, 57326, 77750, 32131, 91062, 16144, 104091, 104770, 29295, 43240, 104091, 43240, 103826, 117083, 123017, 66378, 17599, 112, 118816, 78244, 58942, 33541, 9174, 1569, 99, 1569, 116, 18655, 73686, 107898, 50834, 17129, 39926, 15682, 36896, 38144, 22957, 117503, 53229, 22649, 19732, 112361, 104466, 114715, 16144, 109518, 16144, 110322, 26955, 254, 35330, 16556, 106116, 99849, 98406, 102944, 108167, 113801, 29295, 88367, 117084, 108086, 5486, 110322, 26955, 254, 35330, 19732, 103350, 104983, 16144, 108167, 113801, 35330, 109518, 16144, 111017, 40862, 30512, 13177, 44971, 66953, 44971, 26269, 76428, 66383, 105324, 126559, 16144, 38641, 9174, 89154, 76428, 104272, 109853, 15682, 36896, 107691, 16995, 89154, 76428, 104272, 66383, 13177, 105525, 31431, 89154, 76428, 104272, 117503, 17, 59739, 107407, 113334, 119627, 110371, 89154, 76428, 104272, 107118, 5486, 108167, 113801, 126198, 110674, 103664, 23187, 21105, 103, 117201, 58426, 121894, 30512, 62903, 107610, 103792, 26130, 17161, 16144, 100909, 115717, 33541, 9174, 13177, 125559, 16786, 108695, 77693, 108422, 33121, 29295, 84844, 103792, 60868, 113649, 117718, 44915, 30512, 125261, 54926, 82973, 29295, 18655, 110615, 66383, 16995, 100472, 24273, 32977, 83747, 103470, 100604, 123253, 1811, 107943, 24273, 20230, 107740, 39926, 115962, 47884, 113009, 108048, 108422, 33121, 16144, 125175, 44915, 16556, 125559, 16786, 108695, 30512, 125261, 39926, 64121, 79721, 9174, 125559, 16786, 124572, 101067, 20251, 44971, 65575, 30512, 38129, 54926, 104468, 123334, 15682, 31431, 125559, 16786, 91482, 85707, 64209, 30046, 118816, 117952, 104028, 24273, 118816, 78698, 105262, 105908, 127181, 117840, 29295, 5486, 125559, 16786, 16144, 118347, 105988, 124766, 19732, 117952, 104028, 17792, 32977, 114867, 47884, 114867, 47884, 125559, 16786, 124572, 101067, 20251, 44971, 65575, 30512, 19361, 126120, 107740, 54926, 105908, 101182, 19732, 104655, 32149, 84389, 79721, 1811, 27452, 116285, 17039, 102800, 20251, 44971, 65575, 46034, 25333, 16144, 111800, 110322, 123410, 126465, 104309, 38641, 9174, 125559, 16786, 39880, 71493, 65299, 52414, 125104, 29295, 111587, 102189, 33503, 5486, 126920, 13177, 105525, 31431, 107691, 16995, 10646, 117824, 26854, 30297, 105908, 103470, 111243, 109933, 84477, 104309, 30512, 107740, 125545, 55031, 36896, 61826, 101860, 32977, 76947, 125559, 16786, 16144, 41642, 115195, 53283, 109375, 30512, 50928, 106956, 10646, 104309, 19732, 113727, 100934, 24273, 32977, 5486, 87447, 102332, 17663, 125231, 38641, 9174, 57933, 29220, 78683, 115145, 106596, 102677, 104468, 5486, 50021, 75267, 16144, 39177, 109474, 109904, 91875, 50834, 30512, 109933, 84477, 16144, 83799, 16556, 61304, 108565, 15024, 5486, 34226, 102052, 58426, 109933, 84477, 30512, 119870, 17129, 107290, 106116, 61826, 16144, 112603, 91875, 50834, 30512, 103911, 108867, 54926, 102677, 106596, 25333, 115717, 33541, 113637, 57933, 29220, 78683, 115145, 106596, 15682, 5486, 108064, 18655, 73686, 127564, 104712, 32149, 30512, 104736, 109375, 54926, 104983, 20230, 19361, 126120, 26854, 113334, 38641, 9174, 123141, 20251, 44971, 65575, 19732, 127173, 104028, 102944, 15682, 5486, 115681, 105525, 107691, 57326, 77750, 32131, 91062, 111848, 115681, 105525, 107691, 18655, 73686, 16144, 118733, 5486, 105525, 107691, 30512, 27704, 109315, 112772, 33710, 64178, 30512, 23187, 107436, 33334, 102532, 108048, 20230, 106608, 100204, 38144, 115681, 112535, 13177, 107691, 16995, 19732, 105525, 31431, 10646, 117824, 26854, 30297, 102677, 18655, 73686, 115717, 33541, 9174, 22398, 118192, 105404, 19732, 127173, 104028, 102944, 15682, 5486, 125559, 16786, 108695, 121410, 20230, 108010, 76947, 102532, 5486, 57326, 108748, 104930, 11972, 29295, 125559, 16786, 16556, 110226, 105576, 30512, 122765, 30369, 103846, 102052, 5486, 107691, 16995, 112603, 19732, 105525, 31431, 112603, 16144, 121374, 104364, 29295, 108270, 42634, 20230, 60358, 118145, 60358, 16995, 108680, 19361, 60632, 38641, 105879, 106116, 120098, 30512, 103892, 109156, 106824, 125559, 16786, 108695, 30512, 104662, 109315, 105908, 107693, 115717, 33541, 9174, 123141, 20251, 44971, 65575, 109853, 15682, 5486, 107707, 64209, 40474, 103195, 110162, 122225, 30512, 61056, 17663, 106592, 30832, 112535, 56051, 125559, 16786, 46034, 25333, 118816, 116216, 61689, 29295, 106116, 33710, 64178, 30512, 78698, 105262, 104468, 17792, 102677, 113334, 38641, 55031, 106116, 33710, 64178, 29295, 101860, 104043, 33035, 11883, 54926, 113334, 111769, 102677, 106592, 113954, 39926, 33334, 102532, 72315, 9174, 57933, 29220, 78683, 115145, 106596, 123410, 102677, 126513, 5486, 110022, 100204, 38144, 42634, 38248, 121, 29220, 102780, 16556, 110240, 62543, 56051, 109933, 84477, 124905, 61689, 1811, 91774, 28713, 112391, 102040, 65575, 33710, 29295, 45736, 102131, 119627, 5486, 80988, 239, 105714, 76947, 102178, 111665, 54926, 105908, 108608, 101200, 101983, 104533, 5486, 46034, 54322, 72342, 103470, 109020, 116497, 38641, 9174, 16, 9080, 107809, 16556, 5486, 101399, 109913, 29295, 105047, 104721, 54926, 109933, 107446, 30512, 15017, 231, 107290, 18655, 73686, 54926, 102677, 112973, 125559, 16786, 9080, 82420, 31431, 105525, 107691, 126529, 38641, 1811, 22398, 102756, 103830, 110226, 17701, 122635, 30512, 101462, 247, 30297, 109335, 72342, 101860, 106116, 9080, 107809, 16556, 20251, 44971, 65575, 30512, 103721, 108, 31431, 104196, 39926, 5486, 105184, 103350, 20230, 110226, 105576, 30512, 122765, 30369, 102677, 20251, 44971, 65575, 25333, 118816, 78244, 58942, 33541, 9174, 125559, 16786, 39880, 71493, 65299, 52414, 125104, 16144, 102782, 15024, 121423, 46034, 106307, 50834, 30512, 119870, 64121, 5486, 117859, 112984, 20230, 127706, 127564, 13177, 77750, 76171, 11883, 16144, 926, 19732, 69223, 10646, 29295, 31938, 113, 102924, 124905, 76947, 37705, 31431, 109948, 76622, 110071, 102677, 112973, 108729, 109904, 89753, 33121, 119627, 117119, 61337, 116421, 125559, 16786, 108695, 15682, 117384, 124905, 76947, 13177, 112997, 29220, 114140, 10646, 117824, 26854, 103836, 117840, 9174, 125559, 16786, 39880, 71493, 65299, 52414, 125104, 37026, 33014, 15682, 92693, 16144, 101275, 30046, 29295, 27384, 105494, 38641, 55031, 5486, 110924, 110924, 8239, 112, 48634, 15682, 109215, 119627, 5486, 18, 59739, 71689, 16144, 101275, 30046, 16556, 87447, 102332, 15024, 103350, 104983, 20230, 107740, 39926, 64121, 38144, 5486, 116907, 20230, 32335, 109431, 16144, 125559, 16786, 101275, 30046, 30512, 102647, 23187, 103801, 109954, 9174, 1041, 113127, 71689, 16144, 17701, 35330, 103672, 109793, 22398, 107391, 16073, 99695, 107060, 87447, 113497, 16144, 16786, 101275, 30046, 30512, 101462, 247, 58942, 198, 12, 125559, 16786, 128001, 128000, 2, 125867, 101198, 115145, 198, 70563, 111672, 94550, 16556, 198, 78683, 62903, 91482, 16144, 100604, 58666, 120044, 20230, 198, 12, 115538, 62903, 91482, 29295, 103082, 126172, 16995, 120044, 20230, 101128, 102, 126559, 198, 12, 103036, 100204, 78183, 71289, 105811, 123222, 16144, 87447, 50834, 29295, 95221, 108176, 198, 12, 106030, 101198, 71289, 105791, 37087, 33014, 16144, 47884, 17663, 64121, 30512, 19732, 76947, 105268, 104680, 102800, 120044, 115717, 106956, 198, 51330, 105933, 33334, 101128, 102, 64121, 120332, 102416, 9174, 102663, 101198, 115145, 70563, 111672, 94550, 15682, 5486, 108602, 34171, 16144, 117434, 21403, 97, 30512, 120044, 20230, 59657, 245, 30369, 118733, 5486, 64936, 105284, 30512, 71289, 30813, 106624, 21418, 86436, 15024, 5486, 120044, 16144, 102514, 16073, 90962, 112164, 11972, 30512, 113096, 103130, 124545, 102923, 103991, 38641, 1811, 78683, 62903, 91482, 71289, 57207, 101198, 5486, 47884, 17663, 64121, 102083, 100472, 111571, 103397, 16144, 71005, 109519, 71289, 103911, 103181, 20230, 8239, 114503, 9554, 38641, 9174, 102865, 101129, 68759, 104612, 107167, 122842, 77181, 5486, 17, 104091, 104770, 16144, 102663, 101198, 115145, 70563, 111672, 94550, 16144, 117434, 21403, 97, 30512, 48154, 11883, 37689, 126020, 33541, 9174, 567, 125867, 101198, 115145, 70563, 111672, 94550, 107118, 198, 22656, 37507, 114516, 16144, 105871, 104735, 248, 15682, 13177, 102514, 16073, 90962, 112164, 11972, 66383, 95604, 120044, 31640, 118835, 115991, 5486, 102491, 16995, 64936, 105284, 71289, 105811, 123222, 16144, 21980, 248, 33121, 29295, 109683, 107118, 29295, 104028, 118733, 5486, 105298, 71289, 107188, 120044, 30512, 33563, 59739, 105908, 106084, 33541, 9174, 21405, 105871, 107809, 16144, 13177, 75146, 104792, 114050, 10646, 16556, 21990, 17129, 103468, 104398, 112506, 29295, 21405, 28190, 20230, 110408, 15024, 109415, 102204, 5486, 114626, 15682, 101037, 95, 104856, 76947, 111006, 16144, 48915, 124259, 61056, 20834, 84389, 33541, 1811, 46034, 71289, 102780, 16144, 105871, 104735, 248, 15682, 106968, 101862, 95, 104473, 23039, 16144, 116690, 16556, 125261, 9554, 102514, 16073, 90962, 112164, 11972, 32977, 30250, 227, 16995, 19732, 116216, 61689, 29295, 108948, 105791, 123160, 105871, 104735, 248, 15682, 103664, 1591, 9080, 113314, 16556, 21990, 123606, 124500, 30369, 102083, 78183, 106824, 61689, 9174, 80673, 5486, 21601, 106036, 95, 71289, 33563, 122539, 127242, 5486, 103927, 33710, 102494, 113155, 93488, 117718, 108267, 33121, 104309, 108149, 33503, 106644, 30369, 113385, 113468, 102514, 16073, 90962, 112164, 115247, 108267, 33121, 29295, 113801, 125119, 116216, 103801, 61689, 1811, 102514, 16073, 90962, 112164, 11972, 29295, 108267, 104028, 19732, 33334, 120044, 16144, 113614, 29295, 33563, 38144, 123733, 31431, 5486, 78683, 62903, 91482, 71289, 57207, 101198, 5486, 47884, 17663, 64121, 123160, 103826, 104680, 26854, 120044, 20251, 32131, 112193, 16144, 113385, 121711, 33541, 9174, 77693, 30512, 50338, 104662, 15024, 5486, 105298, 71289, 107188, 120044, 121894, 124259, 88356, 21990, 54926, 112973, 5486, 102663, 101198, 115145, 70563, 111672, 94550, 16144, 122502, 50834, 38641, 9174, 567, 125867, 101198, 115145, 70563, 111672, 94550, 16144, 8239, 114503, 198, 102663, 101198, 115145, 70563, 111672, 94550, 113468, 102514, 16073, 90962, 112164, 11972, 29295, 113096, 103130, 103646, 120044, 15682, 121453, 102800, 105298, 71289, 107188, 105871, 104735, 248, 124259, 88356, 21990, 54926, 103846, 108149, 33503, 106644, 30369, 120044, 20251, 32131, 112193, 30512, 50338, 104662, 54926, 8239, 114503, 29295, 125494, 106084, 33541, 9174, 77181, 103350, 104983, 20230, 5486, 67645, 120950, 120044, 20251, 32131, 112193, 20230, 102663, 101198, 115145, 70563, 111672, 94550, 29295, 8239, 114503, 30512, 20379, 17663, 104865, 106116, 111571, 103397, 27452, 30512, 16995, 47884, 59739, 32149, 91774, 100481, 50834, 17129, 109954, 9174, 14711, 115538, 62903, 91482, 9458, 78683, 62903, 91482, 122561, 16144, 50338, 33420, 198, 102663, 101198, 115145, 70563, 111672, 94550, 15682, 5486, 78683, 62903, 91482, 71289, 78683, 62903, 91482, 122561, 16144, 23226, 106594, 20230, 19361, 126120, 9554, 38641, 9174, 78683, 62903, 91482, 15682, 605, 31640, 20230, 108608, 91763, 104149, 23538, 78683, 62903, 91482, 19732, 119436, 78683, 62903, 91482, 115991, 33541, 29295, 5486, 102663, 101198, 115145, 70563, 111672, 94550, 15682, 117430, 68171, 37507, 16144, 105509, 26854, 117434, 21403, 97, 30512, 11883, 107991, 105879, 5486, 67645, 120950, 112425, 120332, 105352, 101682, 76622, 100481, 90620, 47884, 105908, 125545, 9174, 105811, 123222, 20230, 105871, 121496, 71289, 64936, 105284, 29295, 36117, 250, 17129, 104533, 5486, 64936, 15308, 241, 29295, 103082, 5486, 110924, 20230, 105871, 121496, 30512, 15308, 226, 113598, 117408, 39880, 29220, 102750, 115686, 29295, 118095, 125131, 15024, 5486, 105811, 123222, 16144, 114052, 111571, 13177, 78683, 62903, 91482, 10646, 115717, 33541, 1811, 110924, 16556, 114052, 111571, 16144, 113385, 117282, 102491, 16995, 64936, 105284, 71289, 64936, 15308, 241, 30512, 102663, 101198, 115145, 70563, 111672, 94550, 16556, 108167, 21418, 47884, 118733, 5486, 78683, 62903, 91482, 29295, 23226, 106594, 102416, 106839, 32149, 104028, 16144, 38641, 9174, 122270, 102663, 101198, 115145, 70563, 111672, 94550, 113468, 120044, 29295, 88356, 21990, 112990, 5486, 105811, 123222, 16144, 50520, 108, 109709, 32977, 120870, 33208, 56051, 102514, 16073, 90962, 112164, 11972, 16556, 61056, 20834, 107001, 101200, 108176, 103846, 5486, 78683, 62903, 91482, 16144, 103911, 103181, 8239, 114503, 105352, 103721, 233, 29295, 30369, 118733, 109954, 9174, 53900, 5486, 102663, 101198, 115145, 70563, 111672, 94550, 117824, 100472, 123470, 120044, 15682, 64936, 114050, 29295, 116213, 115737, 31431, 5486, 58666, 37729, 107654, 104309, 29295, 27384, 104721, 27699, 116, 108950, 15024, 126172, 115737 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 114485, 109518, 108608, 125396, 32977, 57903, 50928, 33541, 105879, 5486, 104611, 16144, 103846, 5486, 114140, 54926, 106592, 33334, 53508, 100, 62004, 78434, 9174, 567, 87109, 91875, 106518, 124140, 23187, 101559, 111848, 124140, 23187, 107624, 95001, 126738, 5486, 122225, 29295, 111108, 102800, 107803, 102052, 5486, 16937, 91875, 106518, 124140, 23187, 101559, 111848, 124140, 23187, 107624, 95001, 29295, 19361, 126120, 117282, 107803, 32977, 57903, 33541, 1811, 124140, 23187, 107624, 95001, 102052, 106382, 11883, 29295, 102404, 21990, 78434, 29295, 5486, 114485, 109518, 8239, 114503, 29295, 119448, 16995, 107803, 102052, 5486, 76706, 11883, 30512, 111800, 118219, 120837, 57980, 117714, 111769, 123253, 32149, 9174, 50021, 106307, 85188, 16144, 102782, 58655, 15682, 108008, 20230, 109242, 122202, 26854, 103846, 5486, 85188, 22649, 101559, 50667, 16144, 114363, 103722, 46729, 102416, 103963, 117943, 54926, 126465, 29295, 102717, 19732, 124592, 36785, 106046, 61689, 1811, 117018, 112649, 124233, 121140, 111476, 67645, 103171, 31809, 30813, 26854, 108134, 72661, 5486, 108608, 48249, 31431, 5486, 59330, 224, 103722, 46729, 102416, 108044, 105262, 104466, 64209, 29295, 107441, 17297, 65316, 1811, 112073, 98369, 112028, 78244, 16556, 5486, 50021, 106307, 85188, 109518, 20230, 117375, 125334, 30369, 100909, 108176, 32149, 32977, 53283, 33121, 107515, 1811, 128001, 128000, 125559, 16786, 198, 2, 109283, 48915, 16786, 27951, 96, 47260, 101198, 104926, 125559, 16786, 39880, 71493, 65299, 52414, 125104, 37026, 33014, 15682, 92693, 16144, 101275, 30046, 29295, 27384, 105494, 38641, 55031, 1981, 9174, 44971, 66953, 44971, 26269, 76428, 19732, 127173, 115032, 102944, 15682, 5486, 1569, 99, 1569, 116, 30512, 71289, 31431, 103130, 109315, 16325, 16556, 40053, 20230, 107740, 107001, 123141, 118816, 117952, 33121, 33541, 29295, 5486, 26130, 105557, 104526, 109315, 103087, 35330, 71689, 16144, 20251, 44971, 65575, 29295, 88367, 36785, 102677, 118733, 5486, 126654, 107188, 110322, 26955, 254, 35330, 38641, 48154, 16995, 60632, 105576, 30512, 21990, 64121, 121406, 115789, 125494, 125545, 9174, 8673, 19, 15682, 102616, 102208, 29504, 16556, 121819, 105987, 112535, 43240, 119064, 17792, 20230, 33655, 78183, 115032, 125559, 16786, 115681, 105525, 107691, 103223, 64178, 36785, 102677, 102321, 103397, 32977, 30591, 76947, 5486, 115681, 105525, 107691, 57326, 77750, 32131, 91062, 16144, 104091, 104770, 29295, 43240, 104091, 43240, 103826, 117083, 123017, 66378, 17599, 112, 118816, 78244, 58942, 33541, 9174, 1569, 99, 1569, 116, 18655, 73686, 107898, 50834, 17129, 39926, 15682, 36896, 38144, 22957, 117503, 53229, 22649, 19732, 112361, 104466, 114715, 16144, 109518, 16144, 110322, 26955, 254, 35330, 16556, 106116, 99849, 98406, 102944, 108167, 113801, 29295, 88367, 117084, 108086, 5486, 110322, 26955, 254, 35330, 19732, 103350, 104983, 16144, 108167, 113801, 35330, 109518, 16144, 111017, 40862, 30512, 13177, 44971, 66953, 44971, 26269, 76428, 66383, 105324, 126559, 16144, 38641, 9174, 89154, 76428, 104272, 109853, 15682, 36896, 107691, 16995, 89154, 76428, 104272, 66383, 13177, 105525, 31431, 89154, 76428, 104272, 117503, 17, 59739, 107407, 113334, 119627, 110371, 89154, 76428, 104272, 107118, 5486, 108167, 113801, 126198, 110674, 103664, 23187, 21105, 103, 117201, 58426, 121894, 30512, 62903, 107610, 103792, 26130, 17161, 16144, 100909, 115717, 33541, 9174, 13177, 125559, 16786, 108695, 77693, 108422, 33121, 29295, 84844, 103792, 60868, 113649, 117718, 44915, 30512, 125261, 54926, 82973, 29295, 18655, 110615, 66383, 16995, 100472, 24273, 32977, 83747, 103470, 100604, 123253, 1811, 107943, 24273, 20230, 107740, 39926, 115962, 47884, 113009, 108048, 108422, 33121, 16144, 125175, 44915, 16556, 125559, 16786, 108695, 30512, 125261, 39926, 64121, 79721, 9174, 125559, 16786, 124572, 101067, 20251, 44971, 65575, 30512, 38129, 54926, 104468, 123334, 15682, 31431, 125559, 16786, 91482, 85707, 64209, 30046, 118816, 117952, 104028, 24273, 118816, 78698, 105262, 105908, 127181, 117840, 29295, 5486, 125559, 16786, 16144, 118347, 105988, 124766, 19732, 117952, 104028, 17792, 32977, 114867, 47884, 114867, 47884, 125559, 16786, 124572, 101067, 20251, 44971, 65575, 30512, 19361, 126120, 107740, 54926, 105908, 101182, 19732, 104655, 32149, 84389, 79721, 1811, 27452, 116285, 17039, 102800, 20251, 44971, 65575, 46034, 25333, 16144, 111800, 110322, 123410, 126465, 104309, 38641, 9174, 125559, 16786, 39880, 71493, 65299, 52414, 125104, 29295, 111587, 102189, 33503, 5486, 126920, 13177, 105525, 31431, 107691, 16995, 10646, 117824, 26854, 30297, 105908, 103470, 111243, 109933, 84477, 104309, 30512, 107740, 125545, 55031, 36896, 61826, 101860, 32977, 76947, 125559, 16786, 16144, 41642, 115195, 53283, 109375, 30512, 50928, 106956, 10646, 104309, 19732, 113727, 100934, 24273, 32977, 5486, 87447, 102332, 17663, 125231, 38641, 9174, 57933, 29220, 78683, 115145, 106596, 102677, 104468, 5486, 50021, 75267, 16144, 39177, 109474, 109904, 91875, 50834, 30512, 109933, 84477, 16144, 83799, 16556, 61304, 108565, 15024, 5486, 34226, 102052, 58426, 109933, 84477, 30512, 119870, 17129, 107290, 106116, 61826, 16144, 112603, 91875, 50834, 30512, 103911, 108867, 54926, 102677, 106596, 25333, 115717, 33541, 113637, 57933, 29220, 78683, 115145, 106596, 15682, 5486, 108064, 18655, 73686, 127564, 104712, 32149, 30512, 104736, 109375, 54926, 104983, 20230, 19361, 126120, 26854, 113334, 38641, 9174, 123141, 20251, 44971, 65575, 19732, 127173, 104028, 102944, 15682, 5486, 115681, 105525, 107691, 57326, 77750, 32131, 91062, 111848, 115681, 105525, 107691, 18655, 73686, 16144, 118733, 5486, 105525, 107691, 30512, 27704, 109315, 112772, 33710, 64178, 30512, 23187, 107436, 33334, 102532, 108048, 20230, 106608, 100204, 38144, 115681, 112535, 13177, 107691, 16995, 19732, 105525, 31431, 10646, 117824, 26854, 30297, 102677, 18655, 73686, 115717, 33541, 9174, 22398, 118192, 105404, 19732, 127173, 104028, 102944, 15682, 5486, 125559, 16786, 108695, 121410, 20230, 108010, 76947, 102532, 5486, 57326, 108748, 104930, 11972, 29295, 125559, 16786, 16556, 110226, 105576, 30512, 122765, 30369, 103846, 102052, 5486, 107691, 16995, 112603, 19732, 105525, 31431, 112603, 16144, 121374, 104364, 29295, 108270, 42634, 20230, 60358, 118145, 60358, 16995, 108680, 19361, 60632, 38641, 105879, 106116, 120098, 30512, 103892, 109156, 106824, 125559, 16786, 108695, 30512, 104662, 109315, 105908, 107693, 115717, 33541, 9174, 123141, 20251, 44971, 65575, 109853, 15682, 5486, 107707, 64209, 40474, 103195, 110162, 122225, 30512, 61056, 17663, 106592, 30832, 112535, 56051, 125559, 16786, 46034, 25333, 118816, 116216, 61689, 29295, 106116, 33710, 64178, 30512, 78698, 105262, 104468, 17792, 102677, 113334, 38641, 55031, 106116, 33710, 64178, 29295, 101860, 104043, 33035, 11883, 54926, 113334, 111769, 102677, 106592, 113954, 39926, 33334, 102532, 72315, 9174, 57933, 29220, 78683, 115145, 106596, 123410, 102677, 126513, 5486, 110022, 100204, 38144, 42634, 38248, 121, 29220, 102780, 16556, 110240, 62543, 56051, 109933, 84477, 124905, 61689, 1811, 91774, 28713, 112391, 102040, 65575, 33710, 29295, 45736, 102131, 119627, 5486, 80988, 239, 105714, 76947, 102178, 111665, 54926, 105908, 108608, 101200, 101983, 104533, 5486, 46034, 54322, 72342, 103470, 109020, 116497, 38641, 9174, 16, 9080, 107809, 16556, 5486, 101399, 109913, 29295, 105047, 104721, 54926, 109933, 107446, 30512, 15017, 231, 107290, 18655, 73686, 54926, 102677, 112973, 125559, 16786, 9080, 82420, 31431, 105525, 107691, 126529, 38641, 1811, 22398, 102756, 103830, 110226, 17701, 122635, 30512, 101462, 247, 30297, 109335, 72342, 101860, 106116, 9080, 107809, 16556, 20251, 44971, 65575, 30512, 103721, 108, 31431, 104196, 39926, 5486, 105184, 103350, 20230, 110226, 105576, 30512, 122765, 30369, 102677, 20251, 44971, 65575, 25333, 118816, 78244, 58942, 33541, 9174, 125559, 16786, 39880, 71493, 65299, 52414, 125104, 16144, 102782, 15024, 121423, 46034, 106307, 50834, 30512, 119870, 64121, 5486, 117859, 112984, 20230, 127706, 127564, 13177, 77750, 76171, 11883, 16144, 926, 19732, 69223, 10646, 29295, 31938, 113, 102924, 124905, 76947, 37705, 31431, 109948, 76622, 110071, 102677, 112973, 108729, 109904, 89753, 33121, 119627, 117119, 61337, 116421, 125559, 16786, 108695, 15682, 117384, 124905, 76947, 13177, 112997, 29220, 114140, 10646, 117824, 26854, 103836, 117840, 9174, 125559, 16786, 39880, 71493, 65299, 52414, 125104, 37026, 33014, 15682, 92693, 16144, 101275, 30046, 29295, 27384, 105494, 38641, 55031, 5486, 110924, 110924, 8239, 112, 48634, 15682, 109215, 119627, 5486, 18, 59739, 71689, 16144, 101275, 30046, 16556, 87447, 102332, 15024, 103350, 104983, 20230, 107740, 39926, 64121, 38144, 5486, 116907, 20230, 32335, 109431, 16144, 125559, 16786, 101275, 30046, 30512, 102647, 23187, 103801, 109954, 9174, 1041, 113127, 71689, 16144, 17701, 35330, 103672, 109793, 22398, 107391, 16073, 99695, 107060, 87447, 113497, 16144, 16786, 101275, 30046, 30512, 101462, 247, 58942, 198, 12, 125559, 16786, 128001, 128000, 2, 125867, 101198, 115145, 198, 70563, 111672, 94550, 16556, 198, 78683, 62903, 91482, 16144, 100604, 58666, 120044, 20230, 198, 12, 115538, 62903, 91482, 29295, 103082, 126172, 16995, 120044, 20230, 101128, 102, 126559, 198, 12, 103036, 100204, 78183, 71289, 105811, 123222, 16144, 87447, 50834, 29295, 95221, 108176, 198, 12, 106030, 101198, 71289, 105791, 37087, 33014, 16144, 47884, 17663, 64121, 30512, 19732, 76947, 105268, 104680, 102800, 120044, 115717, 106956, 198, 51330, 105933, 33334, 101128, 102, 64121, 120332, 102416, 9174, 102663, 101198, 115145, 70563, 111672, 94550, 15682, 5486, 108602, 34171, 16144, 117434, 21403, 97, 30512, 120044, 20230, 59657, 245, 30369, 118733, 5486, 64936, 105284, 30512, 71289, 30813, 106624, 21418, 86436, 15024, 5486, 120044, 16144, 102514, 16073, 90962, 112164, 11972, 30512, 113096, 103130, 124545, 102923, 103991, 38641, 1811, 78683, 62903, 91482, 71289, 57207, 101198, 5486, 47884, 17663, 64121, 102083, 100472, 111571, 103397, 16144, 71005, 109519, 71289, 103911, 103181, 20230, 8239, 114503, 9554, 38641, 9174, 102865, 101129, 68759, 104612, 107167, 122842, 77181, 5486, 17, 104091, 104770, 16144, 102663, 101198, 115145, 70563, 111672, 94550, 16144, 117434, 21403, 97, 30512, 48154, 11883, 37689, 126020, 33541, 9174, 567, 125867, 101198, 115145, 70563, 111672, 94550, 107118, 198, 22656, 37507, 114516, 16144, 105871, 104735, 248, 15682, 13177, 102514, 16073, 90962, 112164, 11972, 66383, 95604, 120044, 31640, 118835, 115991, 5486, 102491, 16995, 64936, 105284, 71289, 105811, 123222, 16144, 21980, 248, 33121, 29295, 109683, 107118, 29295, 104028, 118733, 5486, 105298, 71289, 107188, 120044, 30512, 33563, 59739, 105908, 106084, 33541, 9174, 21405, 105871, 107809, 16144, 13177, 75146, 104792, 114050, 10646, 16556, 21990, 17129, 103468, 104398, 112506, 29295, 21405, 28190, 20230, 110408, 15024, 109415, 102204, 5486, 114626, 15682, 101037, 95, 104856, 76947, 111006, 16144, 48915, 124259, 61056, 20834, 84389, 33541, 1811, 46034, 71289, 102780, 16144, 105871, 104735, 248, 15682, 106968, 101862, 95, 104473, 23039, 16144, 116690, 16556, 125261, 9554, 102514, 16073, 90962, 112164, 11972, 32977, 30250, 227, 16995, 19732, 116216, 61689, 29295, 108948, 105791, 123160, 105871, 104735, 248, 15682, 103664, 1591, 9080, 113314, 16556, 21990, 123606, 124500, 30369, 102083, 78183, 106824, 61689, 9174, 80673, 5486, 21601, 106036, 95, 71289, 33563, 122539, 127242, 5486, 103927, 33710, 102494, 113155, 93488, 117718, 108267, 33121, 104309, 108149, 33503, 106644, 30369, 113385, 113468, 102514, 16073, 90962, 112164, 115247, 108267, 33121, 29295, 113801, 125119, 116216, 103801, 61689, 1811, 102514, 16073, 90962, 112164, 11972, 29295, 108267, 104028, 19732, 33334, 120044, 16144, 113614, 29295, 33563, 38144, 123733, 31431, 5486, 78683, 62903, 91482, 71289, 57207, 101198, 5486, 47884, 17663, 64121, 123160, 103826, 104680, 26854, 120044, 20251, 32131, 112193, 16144, 113385, 121711, 33541, 9174, 77693, 30512, 50338, 104662, 15024, 5486, 105298, 71289, 107188, 120044, 121894, 124259, 88356, 21990, 54926, 112973, 5486, 102663, 101198, 115145, 70563, 111672, 94550, 16144, 122502, 50834, 38641, 9174, 567, 125867, 101198, 115145, 70563, 111672, 94550, 16144, 8239, 114503, 198, 102663, 101198, 115145, 70563, 111672, 94550, 113468, 102514, 16073, 90962, 112164, 11972, 29295, 113096, 103130, 103646, 120044, 15682, 121453, 102800, 105298, 71289, 107188, 105871, 104735, 248, 124259, 88356, 21990, 54926, 103846, 108149, 33503, 106644, 30369, 120044, 20251, 32131, 112193, 30512, 50338, 104662, 54926, 8239, 114503, 29295, 125494, 106084, 33541, 9174, 77181, 103350, 104983, 20230, 5486, 67645, 120950, 120044, 20251, 32131, 112193, 20230, 102663, 101198, 115145, 70563, 111672, 94550, 29295, 8239, 114503, 30512, 20379, 17663, 104865, 106116, 111571, 103397, 27452, 30512, 16995, 47884, 59739, 32149, 91774, 100481, 50834, 17129, 109954, 9174, 14711, 115538, 62903, 91482, 9458, 78683, 62903, 91482, 122561, 16144, 50338, 33420, 198, 102663, 101198, 115145, 70563, 111672, 94550, 15682, 5486, 78683, 62903, 91482, 71289, 78683, 62903, 91482, 122561, 16144, 23226, 106594, 20230, 19361, 126120, 9554, 38641, 9174, 78683, 62903, 91482, 15682, 605, 31640, 20230, 108608, 91763, 104149, 23538, 78683, 62903, 91482, 19732, 119436, 78683, 62903, 91482, 115991, 33541, 29295, 5486, 102663, 101198, 115145, 70563, 111672, 94550, 15682, 117430, 68171, 37507, 16144, 105509, 26854, 117434, 21403, 97, 30512, 11883, 107991, 105879, 5486, 67645, 120950, 112425, 120332, 105352, 101682, 76622, 100481, 90620, 47884, 105908, 125545, 9174, 105811, 123222, 20230, 105871, 121496, 71289, 64936, 105284, 29295, 36117, 250, 17129, 104533, 5486, 64936, 15308, 241, 29295, 103082, 5486, 110924, 20230, 105871, 121496, 30512, 15308, 226, 113598, 117408, 39880, 29220, 102750, 115686, 29295, 118095, 125131, 15024, 5486, 105811, 123222, 16144, 114052, 111571, 13177, 78683, 62903, 91482, 10646, 115717, 33541, 1811, 110924, 16556, 114052, 111571, 16144, 113385, 117282, 102491, 16995, 64936, 105284, 71289, 64936, 15308, 241, 30512, 102663, 101198, 115145, 70563, 111672, 94550, 16556, 108167, 21418, 47884, 118733, 5486, 78683, 62903, 91482, 29295, 23226, 106594, 102416, 106839, 32149, 104028, 16144, 38641, 9174, 122270, 102663, 101198, 115145, 70563, 111672, 94550, 113468, 120044, 29295, 88356, 21990, 112990, 5486, 105811, 123222, 16144, 50520, 108, 109709, 32977, 120870, 33208, 56051, 102514, 16073, 90962, 112164, 11972, 16556, 61056, 20834, 107001, 101200, 108176, 103846, 5486, 78683, 62903, 91482, 16144, 103911, 103181, 8239, 114503, 105352, 103721, 233, 29295, 30369, 118733, 109954, 9174, 53900, 5486, 102663, 101198, 115145, 70563, 111672, 94550, 117824, 100472, 123470, 120044, 15682, 64936, 114050, 29295, 116213, 115737, 31431, 5486, 58666, 37729, 107654, 104309, 29295, 27384, 104721, 27699, 116, 108950, 15024, 126172, 115737 ]
[ 31431, 33541, 1811, 25197, 110191, 106839, 17701, 104309, 16556, 58666, 37729, 13153, 17620, 16144, 106839, 17701, 117824, 116285, 5486, 119455, 103809, 98, 111848, 78683, 62903, 91482, 104309, 113115, 39926, 27384, 104721, 8239, 114503, 9554, 38641, 9174, 14711, 106030, 101198, 9458, 27929, 81219, 32149, 17663, 9458, 57942, 251, 7741, 239, 198, 117508, 48915, 101911, 113468, 103082, 28713, 57207, 101198, 15682, 5486, 120044, 123274, 20230, 105623, 226, 108882, 56051, 127194, 78683, 16073, 39135, 72238, 29295, 21405, 28190, 33208, 103792, 102944, 38641, 9174, 59739, 109709, 5486, 57207, 101198, 30512, 23226, 106594, 54926, 103846, 102052, 5486, 127194, 78683, 16073, 39135, 72238, 30512, 120044, 16144, 48915, 20230, 61056, 20834, 54926, 109215, 115991, 33541, 9174, 51330, 28542, 16556, 102514, 16073, 90962, 112164, 115247, 113096, 103130, 8239, 114503, 114792, 59739, 102663, 101198, 115145, 70563, 111672, 94550, 77181, 5486, 102514, 16073, 90962, 112164, 11972, 19732, 55999, 20230, 127194, 78683, 16073, 39135, 72238, 30512, 61056, 20834, 54926, 8239, 114503, 29295, 125494, 106084, 33541, 9174, 127194, 78683, 16073, 39135, 72238, 29295, 116213, 47884, 5486, 44971, 38248, 114, 11972, 71005, 109519, 121254, 126660, 57942, 251, 7741, 239, 71289, 27929, 81219, 32149, 17663, 105352, 5486, 102663, 101198, 115145, 70563, 111672, 94550, 15682, 19361, 11883, 38641, 9174, 14711, 105120, 249, 123222, 16144, 111199, 101860, 64121, 198, 105811, 123222, 16144, 111199, 101860, 64121, 50667, 16144, 120044, 20251, 32131, 112193, 15682, 5486, 108914, 105791, 127242, 121142, 103470, 22398, 62903, 16073, 102663, 39880, 16144, 15024, 120195, 72661, 125119, 31431, 50928, 30369, 105879, 5486, 48154, 116907, 16556, 103181, 104699, 104468, 26854, 107188, 32149, 111108, 102800, 38641, 123794, 1811, 109860, 127105, 58666, 37729, 105871, 104735, 248, 70626, 16144, 102663, 101198, 115145, 70563, 111672, 94550, 16556, 5486, 23187, 23538, 109904, 105811, 123222, 16144, 111199, 101860, 64121, 112197, 19012, 225, 21418, 29295, 125545, 9174, 102663, 101198, 115145, 70563, 111672, 94550, 15682, 105509, 20230, 64936, 105284, 30512, 108167, 21418, 47884, 105908, 106084, 30369, 102923, 103991, 38641, 9174, 53900, 64936, 105284, 19732, 55999, 20230, 110371, 105933, 102491, 16995, 105871, 121496, 32977, 108167, 21418, 47884, 113266, 32977, 69978, 103836, 103846, 5486, 105811, 123222, 16144, 111199, 101860, 64121, 23226, 106594, 15682, 32977, 43514, 85791, 25827, 5486, 103911, 103181, 103306, 16144, 8239, 114503, 32977, 125494, 106084, 33541, 9174, 14711, 103036, 100204, 78183, 16144, 23226, 106594, 9458, 33334, 120044, 16144, 102040, 37823, 16144, 70141, 17905, 198, 21601, 106036, 95, 71289, 104654, 108710, 101557, 96, 5486, 117508, 48915, 101911, 123160, 117375, 16556, 5486, 105871, 104735, 248, 16144, 102514, 16073, 90962, 112164, 11972, 29295, 108267, 104028, 19732, 5486, 102491, 16995, 64936, 105284, 30512, 36117, 250, 62004, 121423, 108948, 120044, 16144, 102040, 37823, 29295, 123733, 100472, 31431, 120268, 100204, 78183, 29295, 103082, 38144, 114604, 31431, 78434, 1811, 108914, 105791, 71289, 33563, 122539, 123160, 22398, 62903, 16073, 102663, 39880, 72661, 23226, 106594, 29295, 111108, 102800, 107803, 32977, 101182, 123253, 9174, 102663, 101198, 115145, 70563, 111672, 94550, 102052, 5486, 102514, 16073, 90962, 112164, 115247, 113096, 103130, 8239, 114503, 115991, 5486, 103826, 104680, 26854, 113385, 113468, 108267, 106824, 114604, 120044, 16144, 88356, 21990, 62249, 30512, 64531, 58942, 120268, 100204, 78183, 16144, 23226, 106594, 71289, 33334, 120044, 16144, 102040, 37823, 16144, 70141, 17905, 20230, 8239, 114503, 9554, 38641, 9174, 26854, 112371, 102663, 101198, 115145, 70563, 111672, 94550, 29295, 120268, 100204, 78183, 16144, 23226, 106594, 107294, 105722, 30369, 105879, 109954, 32149, 95532, 59657, 245, 52927, 103646, 108602, 34171, 16144, 117434, 21403, 97, 113468, 33334, 120044, 20230, 105623, 226, 108882, 56051, 102491, 16995, 64936, 105284, 29295, 15682, 29295, 104028, 19732, 5486, 21405, 105871, 114050, 16144, 105665, 102987, 47884, 16556, 5486, 21405, 105871, 104398, 112506, 29295, 45059, 84389, 33541, 118844, 15682, 105871, 104735, 248, 30512, 88356, 21990, 107726, 101200, 117408, 5486, 33014, 16144, 109683, 26854, 95543, 106608, 38641, 1811, 112084, 107060, 90962, 112164, 11972, 15682, 110904, 20230, 21405, 105871, 58426, 102944, 30512, 17039, 28713, 20230, 19967, 31431, 74245, 17663, 103378, 77181, 124897, 9174, 89151, 105871, 114050, 16556, 120044, 16144, 102040, 37823, 16144, 72238, 117282, 13177, 47260, 32131, 38248, 110, 16073, 10646, 29295, 45059, 107001, 16144, 38641, 9174, 59739, 109709, 5486, 102514, 16073, 90962, 112164, 11972, 29295, 113096, 103130, 103646, 33334, 120044, 15682, 121453, 28713, 26854, 47260, 32131, 38248, 110, 16073, 30512, 120988, 107800, 64121, 101860, 64121, 101860, 102800, 120044, 124259, 120329, 30369, 103846, 108948, 120044, 16144, 102040, 37823, 29295, 88356, 21990, 112990, 107173, 20230, 120268, 100204, 78183, 32977, 23226, 106594, 54926, 102677, 113334, 38641, 9174, 102663, 101198, 115145, 70563, 111672, 94550, 15682, 31809, 100204, 78183, 16144, 23226, 106594, 71289, 33334, 120044, 16144, 102040, 37823, 71289, 62903, 39850, 30512, 64531, 105262, 110115, 2243, 112, 100472, 111331, 102923, 103991, 38641, 9174, 23438, 102663, 101198, 115145, 70563, 111672, 94550, 16144, 198, 8239, 114503, 30512, 103350, 99750, 108608, 18904, 9039, 198, 102663, 101198, 115145, 70563, 111672, 94550, 15682, 112160, 18904, 16144, 102923, 103991, 72661, 8239, 114503, 30512, 103350, 99750, 54926, 105908, 125545, 119520, 5486, 120044, 105284, 30512, 23226, 106594, 39926, 58666, 101828, 120044, 30512, 33563, 59739, 103846, 102052, 5486, 23187, 23538, 109904, 102923, 103991, 126130, 53508, 100, 62004, 102334, 78434, 9174, 53900, 78683, 62903, 91482, 123160, 13177, 71005, 109519, 10646, 113173, 77181, 5486, 20, 21909, 605, 18904, 113314, 102923, 103991, 30512, 120321, 106307, 39926, 23039, 107462, 90620, 76622, 104533, 107188, 31431, 126574, 8239, 114503, 29295, 103350, 99750, 108608, 118733, 109954, 9174, 120044, 105284, 71289, 120044, 121894, 113468, 32977, 8239, 114503, 16144, 103350, 99750, 103296, 20230, 104364, 29295, 21990, 100204, 104533, 116216, 61689, 29295, 5486, 115274, 9554, 102052, 117232, 30512, 30591, 107441, 103664, 605, 18904, 113314, 5486, 102923, 103991, 117824, 30297, 105908, 8239, 114503, 9554, 19732, 117952, 106824, 61689, 9174, 90620, 15024, 5486, 28713, 19732, 58942, 58426, 605, 18904, 16556, 120044, 105284, 29295, 23226, 106594, 120837, 5486, 53900, 17039, 28713, 26854, 120044, 20251, 32131, 112193, 29295, 102404, 21990, 126693, 5486, 120044, 121894, 32977, 88356, 102802, 108267, 106824, 114732, 125396, 32977, 101182, 103846, 5486, 120987, 16144, 58666, 102800, 120044, 30512, 33563, 59739, 103846, 102052, 5486, 120321, 106307, 112535, 102923, 103991, 117824, 30297, 105908, 32335, 32977, 8239, 114503, 9554, 38641, 9174, 102663, 101198, 115145, 70563, 111672, 94550, 110792, 198, 125702, 11883, 33334, 125683, 62004, 102923, 103991, 198, 120044, 30512, 88356, 21990, 15024, 115847, 103296, 16144, 120044, 20251, 32131, 112193, 30512, 23226, 106594, 54926, 8239, 114503, 29295, 125494, 108608, 102663, 101198, 115145, 70563, 111672, 94550, 77181, 57903, 33541, 29295, 5486, 17297, 61304, 120950, 71005, 109519, 5486, 102923, 103991, 19732, 125702, 11883, 39926, 23039, 30297, 118733, 5486, 105755, 58426, 58666, 37729, 8239, 114503, 30512, 45736, 62004, 33541, 9174, 90620, 15024, 5486, 108602, 34171, 16144, 117434, 21403, 97, 30512, 38129, 54926, 107118, 16995, 114598, 106116, 103350, 107328, 15682, 64936, 105284, 114050, 20230, 116771, 113266, 54926, 13153, 17620, 103195, 105908, 43240, 102334, 62004, 5486, 105509, 34171, 105352, 104622, 103468, 64936, 105284, 21418, 86436, 41007, 118816, 78244, 105262, 123253, 9174, 14711, 105026, 104163, 20251, 110101, 78983, 10110, 102803, 91062, 119744, 23954, 108526, 20251, 110101, 78983, 10110, 102803, 91062, 119744, 7705, 107118, 5486, 101426, 76739, 124643, 104603, 11972, 10110, 40, 2989, 7705, 124905, 100472, 58666, 101828, 9458, 58666, 120044, 71005, 109519, 38641, 9174, 57207, 101198, 71289, 47884, 17663, 64121, 5486, 78683, 62903, 91482, 122561, 104309, 20230, 104622, 103468, 8239, 114503, 30512, 102404, 127327, 78434, 9174, 53900, 5486, 101426, 76739, 124643, 104603, 11972, 15682, 47260, 32131, 38248, 110, 16073, 71289, 76739, 112718, 78459, 16073, 102677, 5486, 120044, 16144, 102040, 37823, 9458, 119375, 48634, 16144, 31634, 117282, 13153, 17620, 30512, 76706, 34171, 33208, 124545, 8239, 114503, 32977, 125494, 125545, 9174, 59739, 109709, 5486, 108526, 20251, 110101, 78983, 15682, 5486, 78683, 62903, 91482, 122561, 123160, 39135, 72238, 120299, 100815, 30512, 23226, 106594, 39926, 120044, 16144, 20251, 107060, 30512, 31958, 30369, 47884, 54926, 30297, 58942, 20230, 5486, 105268, 104680, 102800, 120044, 111363, 104721, 33208, 32977, 125494, 108608, 58666, 120044, 71005, 109519, 126529, 38641, 9174, 102663, 101198, 115145, 70563, 111672, 94550, 16556, 102491, 16995, 64936, 105284, 30512, 21418, 86436, 112990, 5486, 108526, 20251, 110101, 78983, 16144, 101426, 76739, 124643, 104603, 11972, 119279, 120044, 16144, 105665, 103296, 109948, 50834, 126172, 115737, 31431, 33541, 9174, 120044, 101128, 102, 64121, 113115, 39926, 105755, 104195, 48634, 20230, 113266, 78434, 9174, 14711, 105729, 110191, 106839, 17701, 198, 25197, 110191, 106839, 17701, 107118, 5486, 50034, 112294, 26854, 101721, 89753, 30512, 89753, 17663, 118733, 5486, 91482, 47307, 101198, 16073, 34, 71289, 39880, 101198, 101335, 108602, 104309, 58666, 120044, 20230, 109215, 26854, 19361, 126120, 13153, 17620, 30512, 120044, 16144, 105665, 102987, 47884, 20230, 27699, 116, 108950, 124545, 102923, 103991, 41007, 38641, 9174, 106839, 17701, 54926, 19361, 126120, 13153, 17620, 30512, 104721, 105262, 118733, 5486, 57207, 101198, 71289, 57942, 251, 7741, 239, 5486, 20230, 50834, 102802, 104309, 5486, 111044, 108285, 16995, 120044, 20251, 32131, 112193, 16144, 23226, 106594, 20230, 8239, 114503, 30512, 20379, 78434, 9174, 80539, 51330, 25197, 110191, 106839, 17701, 15682, 5486, 102663, 101198, 115145, 70563, 111672, 94550, 16556, 64936, 105284, 30512, 108167, 21418, 102334, 29220, 104612, 26854, 120044, 120650, 30297, 118733, 5486, 105755, 8239, 114503, 112535, 120044, 102416, 19361, 126120, 13153, 17620, 29295, 27699, 116, 108950, 109768, 126145, 125494, 108608, 123253, 9174, 106966, 113266, 198, 126574, 120044, 16144, 88356, 21990, 8239, 114503, 29295, 125494, 108608, 102663, 101198, 115145, 70563, 111672, 94550, 77181, 57903, 33541, 29295, 5486, 102923, 103991, 30512, 109768, 47884, 17905, 16556, 115251, 16144, 106966, 113266, 30512, 112391, 30369, 115789, 57903, 33541, 9174, 110924, 16556, 102663, 101198, 115145, 70563, 111672, 94550, 16144, 102923, 103991, 30512, 105755, 105509, 20230, 76706, 11883, 54926, 103846, 105352, 5486, 61633, 17663, 125231, 106966, 113266, 109853, 50520, 111, 106624, 48154, 122984, 102334, 78434, 9174, 14711, 80071, 237, 104482, 16144, 100604, 106966, 113266, 198, 12, 119653, 106644, 64121, 198, 12, 125752, 37823, 70563, 37823, 54926, 198, 12, 107399, 234, 29295, 104328, 50834, 59739, 30369, 198, 85701, 120577, 106966, 113266, 15682, 104662, 39926, 109161, 16995, 102944, 126194, 5486, 105871, 104735, 248, 29295, 15682, 29295, 115032, 126101, 112391, 30369, 102944, 38641, 9174, 58426, 103846, 5486, 8239, 114503, 30512, 102404, 127327, 103792, 55031, 127105, 112391, 30369, 60868, 76171, 107173, 78244, 105262, 123253, 9174, 107118, 16995, 58942, 106116, 111571, 103397, 29295, 104195, 16995, 107803, 102052, 5486, 103242, 104599, 20230, 50021, 111813, 54926, 115789, 27384, 102769, 38641, 9174, 14711, 107879, 234, 103188, 114181, 105085, 29295, 109215, 26854, 106966, 113266, 198, 12, 107142, 236, 111571, 198, 12, 107399, 234, 16144, 109657, 64121, 198, 12, 116145, 72238, 120299, 100815, 198, 105509, 34171, 29295, 126574, 102663, 101198, 115145, 70563, 111672, 94550, 127303, 114598, 5486, 105871, 104735, 248, 30512, 17792, 49792, 9554, 102052, 29295, 17663, 102923, 103991, 102052, 104721, 116547, 119703, 103846, 5486, 102923, 103991, 123470, 120044, 15682, 27384, 104721, 68408, 37823, 102663, 84477, 26854, 121894, 20230, 57903, 33541, 9174, 58426, 103846, 120044, 105284, 71289, 120044, 121894, 113468, 15682, 5486, 71689, 120950, 106966, 113266, 30512, 112391, 30369, 115789, 101182, 123253, 9174, 85701, 120577, 106966, 113266, 30512, 103911, 103181, 54926, 103846, 102052, 5486, 102923, 103991, 123470, 114392, 26854, 106142, 105368, 5486, 33563, 122539, 29295, 19361, 126120, 9554, 38641, 9174, 32977, 43514, 85791, 25827, 102865, 101129, 68759, 104612, 107167, 122842, 77181, 110371, 28542, 105352, 114392, 78698, 101557, 106, 39926, 103911, 103181, 105226, 116806, 52591, 47307, 38248, 109, 39880, 20230, 108167, 103214, 104127, 108086, 33541, 105879, 5486, 48154, 51385, 64209, 72315, 9174, 14711, 125867, 101198, 115145, 70563, 111672, 94550, 16144, 102923, 103991, 29295, 101682, 76622, 102204, 100604, 24273, 198, 32307, 37087, 26854, 105509, 34171, 114792, 76947, 102663, 101198, 115145, 70563, 111672, 94550, 117824, 30297, 103846, 5486, 33671, 120950, 111571, 103397, 126130, 110794, 120332, 15682, 102923, 103991, 126130, 103851, 58942, 16995, 90620, 47884, 105908, 123231, 9174, 12, 120066, 232, 101310, 254, 5486, 107141, 111528, 16325, 120332, 198, 12, 32386, 121, 103991, 23964, 229, 32938, 20230, 5486, 114218, 71289, 114052, 111571, 107407, 24273, 198, 12, 125867, 42634, 114265, 33014, 105284, 126130, 110794, 120332, 198, 12, 116299, 115075, 16937, 37087, 116436, 111694, 126130, 110794, 120332, 220, 104309, 198, 95221, 108176, 111571, 103397, 126130, 110794, 120332, 15682, 108948, 95221, 117355, 20230, 102865, 101129, 68759, 104612, 107167, 122842, 103296, 48154, 50021, 111813, 72315, 9174, 102663, 101198, 115145, 70563, 111672, 94550, 109853, 198, 114652, 101182, 48154, 105284, 99397, 198, 14711, 107748, 106826, 19732, 107167, 122842, 16144, 102663, 101198, 115145, 70563, 111672, 94550, 16144, 121953, 15682, 57903, 33541, 32149, 95532, 102663, 101198, 115145, 70563, 111672, 94550, 15682, 5486, 103242, 104599, 16144, 24186, 16556, 105509, 120650, 30297, 103242, 109519, 101513, 97518, 10110, 107167, 122842, 7705, 16556, 67016, 106084, 100604, 102923, 103991, 38641, 9174, 77181, 26854, 112371, 5486, 76739, 106826, 72661, 102663, 101198, 115145, 70563, 111672, 94550, 30512, 102158, 30369, 39850, 78683, 109496, 29295, 48706, 54926, 104865, 102677, 107750, 99397, 20230, 112391, 30369, 24273, 32977, 16995, 33503, 42891, 116826, 30369, 118733, 109954, 9174, 122582, 76739, 106826, 127303, 114598, 5486, 33208, 90397, 100, 25446, 127303, 104984, 70563, 111672, 94550, 117824, 30297, 105908, 106084, 30369, 55031, 38641, 9174, 117032, 107167, 122842, 16556, 23039, 30297, 102663, 101198, 115145, 70563 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 33541, 1811, 25197, 110191, 106839, 17701, 104309, 16556, 58666, 37729, 13153, 17620, 16144, 106839, 17701, 117824, 116285, 5486, 119455, 103809, 98, 111848, 78683, 62903, 91482, 104309, 113115, 39926, 27384, 104721, 8239, 114503, 9554, 38641, 9174, 14711, 106030, 101198, 9458, 27929, 81219, 32149, 17663, 9458, 57942, 251, 7741, 239, 198, 117508, 48915, 101911, 113468, 103082, 28713, 57207, 101198, 15682, 5486, 120044, 123274, 20230, 105623, 226, 108882, 56051, 127194, 78683, 16073, 39135, 72238, 29295, 21405, 28190, 33208, 103792, 102944, 38641, 9174, 59739, 109709, 5486, 57207, 101198, 30512, 23226, 106594, 54926, 103846, 102052, 5486, 127194, 78683, 16073, 39135, 72238, 30512, 120044, 16144, 48915, 20230, 61056, 20834, 54926, 109215, 115991, 33541, 9174, 51330, 28542, 16556, 102514, 16073, 90962, 112164, 115247, 113096, 103130, 8239, 114503, 114792, 59739, 102663, 101198, 115145, 70563, 111672, 94550, 77181, 5486, 102514, 16073, 90962, 112164, 11972, 19732, 55999, 20230, 127194, 78683, 16073, 39135, 72238, 30512, 61056, 20834, 54926, 8239, 114503, 29295, 125494, 106084, 33541, 9174, 127194, 78683, 16073, 39135, 72238, 29295, 116213, 47884, 5486, 44971, 38248, 114, 11972, 71005, 109519, 121254, 126660, 57942, 251, 7741, 239, 71289, 27929, 81219, 32149, 17663, 105352, 5486, 102663, 101198, 115145, 70563, 111672, 94550, 15682, 19361, 11883, 38641, 9174, 14711, 105120, 249, 123222, 16144, 111199, 101860, 64121, 198, 105811, 123222, 16144, 111199, 101860, 64121, 50667, 16144, 120044, 20251, 32131, 112193, 15682, 5486, 108914, 105791, 127242, 121142, 103470, 22398, 62903, 16073, 102663, 39880, 16144, 15024, 120195, 72661, 125119, 31431, 50928, 30369, 105879, 5486, 48154, 116907, 16556, 103181, 104699, 104468, 26854, 107188, 32149, 111108, 102800, 38641, 123794, 1811, 109860, 127105, 58666, 37729, 105871, 104735, 248, 70626, 16144, 102663, 101198, 115145, 70563, 111672, 94550, 16556, 5486, 23187, 23538, 109904, 105811, 123222, 16144, 111199, 101860, 64121, 112197, 19012, 225, 21418, 29295, 125545, 9174, 102663, 101198, 115145, 70563, 111672, 94550, 15682, 105509, 20230, 64936, 105284, 30512, 108167, 21418, 47884, 105908, 106084, 30369, 102923, 103991, 38641, 9174, 53900, 64936, 105284, 19732, 55999, 20230, 110371, 105933, 102491, 16995, 105871, 121496, 32977, 108167, 21418, 47884, 113266, 32977, 69978, 103836, 103846, 5486, 105811, 123222, 16144, 111199, 101860, 64121, 23226, 106594, 15682, 32977, 43514, 85791, 25827, 5486, 103911, 103181, 103306, 16144, 8239, 114503, 32977, 125494, 106084, 33541, 9174, 14711, 103036, 100204, 78183, 16144, 23226, 106594, 9458, 33334, 120044, 16144, 102040, 37823, 16144, 70141, 17905, 198, 21601, 106036, 95, 71289, 104654, 108710, 101557, 96, 5486, 117508, 48915, 101911, 123160, 117375, 16556, 5486, 105871, 104735, 248, 16144, 102514, 16073, 90962, 112164, 11972, 29295, 108267, 104028, 19732, 5486, 102491, 16995, 64936, 105284, 30512, 36117, 250, 62004, 121423, 108948, 120044, 16144, 102040, 37823, 29295, 123733, 100472, 31431, 120268, 100204, 78183, 29295, 103082, 38144, 114604, 31431, 78434, 1811, 108914, 105791, 71289, 33563, 122539, 123160, 22398, 62903, 16073, 102663, 39880, 72661, 23226, 106594, 29295, 111108, 102800, 107803, 32977, 101182, 123253, 9174, 102663, 101198, 115145, 70563, 111672, 94550, 102052, 5486, 102514, 16073, 90962, 112164, 115247, 113096, 103130, 8239, 114503, 115991, 5486, 103826, 104680, 26854, 113385, 113468, 108267, 106824, 114604, 120044, 16144, 88356, 21990, 62249, 30512, 64531, 58942, 120268, 100204, 78183, 16144, 23226, 106594, 71289, 33334, 120044, 16144, 102040, 37823, 16144, 70141, 17905, 20230, 8239, 114503, 9554, 38641, 9174, 26854, 112371, 102663, 101198, 115145, 70563, 111672, 94550, 29295, 120268, 100204, 78183, 16144, 23226, 106594, 107294, 105722, 30369, 105879, 109954, 32149, 95532, 59657, 245, 52927, 103646, 108602, 34171, 16144, 117434, 21403, 97, 113468, 33334, 120044, 20230, 105623, 226, 108882, 56051, 102491, 16995, 64936, 105284, 29295, 15682, 29295, 104028, 19732, 5486, 21405, 105871, 114050, 16144, 105665, 102987, 47884, 16556, 5486, 21405, 105871, 104398, 112506, 29295, 45059, 84389, 33541, 118844, 15682, 105871, 104735, 248, 30512, 88356, 21990, 107726, 101200, 117408, 5486, 33014, 16144, 109683, 26854, 95543, 106608, 38641, 1811, 112084, 107060, 90962, 112164, 11972, 15682, 110904, 20230, 21405, 105871, 58426, 102944, 30512, 17039, 28713, 20230, 19967, 31431, 74245, 17663, 103378, 77181, 124897, 9174, 89151, 105871, 114050, 16556, 120044, 16144, 102040, 37823, 16144, 72238, 117282, 13177, 47260, 32131, 38248, 110, 16073, 10646, 29295, 45059, 107001, 16144, 38641, 9174, 59739, 109709, 5486, 102514, 16073, 90962, 112164, 11972, 29295, 113096, 103130, 103646, 33334, 120044, 15682, 121453, 28713, 26854, 47260, 32131, 38248, 110, 16073, 30512, 120988, 107800, 64121, 101860, 64121, 101860, 102800, 120044, 124259, 120329, 30369, 103846, 108948, 120044, 16144, 102040, 37823, 29295, 88356, 21990, 112990, 107173, 20230, 120268, 100204, 78183, 32977, 23226, 106594, 54926, 102677, 113334, 38641, 9174, 102663, 101198, 115145, 70563, 111672, 94550, 15682, 31809, 100204, 78183, 16144, 23226, 106594, 71289, 33334, 120044, 16144, 102040, 37823, 71289, 62903, 39850, 30512, 64531, 105262, 110115, 2243, 112, 100472, 111331, 102923, 103991, 38641, 9174, 23438, 102663, 101198, 115145, 70563, 111672, 94550, 16144, 198, 8239, 114503, 30512, 103350, 99750, 108608, 18904, 9039, 198, 102663, 101198, 115145, 70563, 111672, 94550, 15682, 112160, 18904, 16144, 102923, 103991, 72661, 8239, 114503, 30512, 103350, 99750, 54926, 105908, 125545, 119520, 5486, 120044, 105284, 30512, 23226, 106594, 39926, 58666, 101828, 120044, 30512, 33563, 59739, 103846, 102052, 5486, 23187, 23538, 109904, 102923, 103991, 126130, 53508, 100, 62004, 102334, 78434, 9174, 53900, 78683, 62903, 91482, 123160, 13177, 71005, 109519, 10646, 113173, 77181, 5486, 20, 21909, 605, 18904, 113314, 102923, 103991, 30512, 120321, 106307, 39926, 23039, 107462, 90620, 76622, 104533, 107188, 31431, 126574, 8239, 114503, 29295, 103350, 99750, 108608, 118733, 109954, 9174, 120044, 105284, 71289, 120044, 121894, 113468, 32977, 8239, 114503, 16144, 103350, 99750, 103296, 20230, 104364, 29295, 21990, 100204, 104533, 116216, 61689, 29295, 5486, 115274, 9554, 102052, 117232, 30512, 30591, 107441, 103664, 605, 18904, 113314, 5486, 102923, 103991, 117824, 30297, 105908, 8239, 114503, 9554, 19732, 117952, 106824, 61689, 9174, 90620, 15024, 5486, 28713, 19732, 58942, 58426, 605, 18904, 16556, 120044, 105284, 29295, 23226, 106594, 120837, 5486, 53900, 17039, 28713, 26854, 120044, 20251, 32131, 112193, 29295, 102404, 21990, 126693, 5486, 120044, 121894, 32977, 88356, 102802, 108267, 106824, 114732, 125396, 32977, 101182, 103846, 5486, 120987, 16144, 58666, 102800, 120044, 30512, 33563, 59739, 103846, 102052, 5486, 120321, 106307, 112535, 102923, 103991, 117824, 30297, 105908, 32335, 32977, 8239, 114503, 9554, 38641, 9174, 102663, 101198, 115145, 70563, 111672, 94550, 110792, 198, 125702, 11883, 33334, 125683, 62004, 102923, 103991, 198, 120044, 30512, 88356, 21990, 15024, 115847, 103296, 16144, 120044, 20251, 32131, 112193, 30512, 23226, 106594, 54926, 8239, 114503, 29295, 125494, 108608, 102663, 101198, 115145, 70563, 111672, 94550, 77181, 57903, 33541, 29295, 5486, 17297, 61304, 120950, 71005, 109519, 5486, 102923, 103991, 19732, 125702, 11883, 39926, 23039, 30297, 118733, 5486, 105755, 58426, 58666, 37729, 8239, 114503, 30512, 45736, 62004, 33541, 9174, 90620, 15024, 5486, 108602, 34171, 16144, 117434, 21403, 97, 30512, 38129, 54926, 107118, 16995, 114598, 106116, 103350, 107328, 15682, 64936, 105284, 114050, 20230, 116771, 113266, 54926, 13153, 17620, 103195, 105908, 43240, 102334, 62004, 5486, 105509, 34171, 105352, 104622, 103468, 64936, 105284, 21418, 86436, 41007, 118816, 78244, 105262, 123253, 9174, 14711, 105026, 104163, 20251, 110101, 78983, 10110, 102803, 91062, 119744, 23954, 108526, 20251, 110101, 78983, 10110, 102803, 91062, 119744, 7705, 107118, 5486, 101426, 76739, 124643, 104603, 11972, 10110, 40, 2989, 7705, 124905, 100472, 58666, 101828, 9458, 58666, 120044, 71005, 109519, 38641, 9174, 57207, 101198, 71289, 47884, 17663, 64121, 5486, 78683, 62903, 91482, 122561, 104309, 20230, 104622, 103468, 8239, 114503, 30512, 102404, 127327, 78434, 9174, 53900, 5486, 101426, 76739, 124643, 104603, 11972, 15682, 47260, 32131, 38248, 110, 16073, 71289, 76739, 112718, 78459, 16073, 102677, 5486, 120044, 16144, 102040, 37823, 9458, 119375, 48634, 16144, 31634, 117282, 13153, 17620, 30512, 76706, 34171, 33208, 124545, 8239, 114503, 32977, 125494, 125545, 9174, 59739, 109709, 5486, 108526, 20251, 110101, 78983, 15682, 5486, 78683, 62903, 91482, 122561, 123160, 39135, 72238, 120299, 100815, 30512, 23226, 106594, 39926, 120044, 16144, 20251, 107060, 30512, 31958, 30369, 47884, 54926, 30297, 58942, 20230, 5486, 105268, 104680, 102800, 120044, 111363, 104721, 33208, 32977, 125494, 108608, 58666, 120044, 71005, 109519, 126529, 38641, 9174, 102663, 101198, 115145, 70563, 111672, 94550, 16556, 102491, 16995, 64936, 105284, 30512, 21418, 86436, 112990, 5486, 108526, 20251, 110101, 78983, 16144, 101426, 76739, 124643, 104603, 11972, 119279, 120044, 16144, 105665, 103296, 109948, 50834, 126172, 115737, 31431, 33541, 9174, 120044, 101128, 102, 64121, 113115, 39926, 105755, 104195, 48634, 20230, 113266, 78434, 9174, 14711, 105729, 110191, 106839, 17701, 198, 25197, 110191, 106839, 17701, 107118, 5486, 50034, 112294, 26854, 101721, 89753, 30512, 89753, 17663, 118733, 5486, 91482, 47307, 101198, 16073, 34, 71289, 39880, 101198, 101335, 108602, 104309, 58666, 120044, 20230, 109215, 26854, 19361, 126120, 13153, 17620, 30512, 120044, 16144, 105665, 102987, 47884, 20230, 27699, 116, 108950, 124545, 102923, 103991, 41007, 38641, 9174, 106839, 17701, 54926, 19361, 126120, 13153, 17620, 30512, 104721, 105262, 118733, 5486, 57207, 101198, 71289, 57942, 251, 7741, 239, 5486, 20230, 50834, 102802, 104309, 5486, 111044, 108285, 16995, 120044, 20251, 32131, 112193, 16144, 23226, 106594, 20230, 8239, 114503, 30512, 20379, 78434, 9174, 80539, 51330, 25197, 110191, 106839, 17701, 15682, 5486, 102663, 101198, 115145, 70563, 111672, 94550, 16556, 64936, 105284, 30512, 108167, 21418, 102334, 29220, 104612, 26854, 120044, 120650, 30297, 118733, 5486, 105755, 8239, 114503, 112535, 120044, 102416, 19361, 126120, 13153, 17620, 29295, 27699, 116, 108950, 109768, 126145, 125494, 108608, 123253, 9174, 106966, 113266, 198, 126574, 120044, 16144, 88356, 21990, 8239, 114503, 29295, 125494, 108608, 102663, 101198, 115145, 70563, 111672, 94550, 77181, 57903, 33541, 29295, 5486, 102923, 103991, 30512, 109768, 47884, 17905, 16556, 115251, 16144, 106966, 113266, 30512, 112391, 30369, 115789, 57903, 33541, 9174, 110924, 16556, 102663, 101198, 115145, 70563, 111672, 94550, 16144, 102923, 103991, 30512, 105755, 105509, 20230, 76706, 11883, 54926, 103846, 105352, 5486, 61633, 17663, 125231, 106966, 113266, 109853, 50520, 111, 106624, 48154, 122984, 102334, 78434, 9174, 14711, 80071, 237, 104482, 16144, 100604, 106966, 113266, 198, 12, 119653, 106644, 64121, 198, 12, 125752, 37823, 70563, 37823, 54926, 198, 12, 107399, 234, 29295, 104328, 50834, 59739, 30369, 198, 85701, 120577, 106966, 113266, 15682, 104662, 39926, 109161, 16995, 102944, 126194, 5486, 105871, 104735, 248, 29295, 15682, 29295, 115032, 126101, 112391, 30369, 102944, 38641, 9174, 58426, 103846, 5486, 8239, 114503, 30512, 102404, 127327, 103792, 55031, 127105, 112391, 30369, 60868, 76171, 107173, 78244, 105262, 123253, 9174, 107118, 16995, 58942, 106116, 111571, 103397, 29295, 104195, 16995, 107803, 102052, 5486, 103242, 104599, 20230, 50021, 111813, 54926, 115789, 27384, 102769, 38641, 9174, 14711, 107879, 234, 103188, 114181, 105085, 29295, 109215, 26854, 106966, 113266, 198, 12, 107142, 236, 111571, 198, 12, 107399, 234, 16144, 109657, 64121, 198, 12, 116145, 72238, 120299, 100815, 198, 105509, 34171, 29295, 126574, 102663, 101198, 115145, 70563, 111672, 94550, 127303, 114598, 5486, 105871, 104735, 248, 30512, 17792, 49792, 9554, 102052, 29295, 17663, 102923, 103991, 102052, 104721, 116547, 119703, 103846, 5486, 102923, 103991, 123470, 120044, 15682, 27384, 104721, 68408, 37823, 102663, 84477, 26854, 121894, 20230, 57903, 33541, 9174, 58426, 103846, 120044, 105284, 71289, 120044, 121894, 113468, 15682, 5486, 71689, 120950, 106966, 113266, 30512, 112391, 30369, 115789, 101182, 123253, 9174, 85701, 120577, 106966, 113266, 30512, 103911, 103181, 54926, 103846, 102052, 5486, 102923, 103991, 123470, 114392, 26854, 106142, 105368, 5486, 33563, 122539, 29295, 19361, 126120, 9554, 38641, 9174, 32977, 43514, 85791, 25827, 102865, 101129, 68759, 104612, 107167, 122842, 77181, 110371, 28542, 105352, 114392, 78698, 101557, 106, 39926, 103911, 103181, 105226, 116806, 52591, 47307, 38248, 109, 39880, 20230, 108167, 103214, 104127, 108086, 33541, 105879, 5486, 48154, 51385, 64209, 72315, 9174, 14711, 125867, 101198, 115145, 70563, 111672, 94550, 16144, 102923, 103991, 29295, 101682, 76622, 102204, 100604, 24273, 198, 32307, 37087, 26854, 105509, 34171, 114792, 76947, 102663, 101198, 115145, 70563, 111672, 94550, 117824, 30297, 103846, 5486, 33671, 120950, 111571, 103397, 126130, 110794, 120332, 15682, 102923, 103991, 126130, 103851, 58942, 16995, 90620, 47884, 105908, 123231, 9174, 12, 120066, 232, 101310, 254, 5486, 107141, 111528, 16325, 120332, 198, 12, 32386, 121, 103991, 23964, 229, 32938, 20230, 5486, 114218, 71289, 114052, 111571, 107407, 24273, 198, 12, 125867, 42634, 114265, 33014, 105284, 126130, 110794, 120332, 198, 12, 116299, 115075, 16937, 37087, 116436, 111694, 126130, 110794, 120332, 220, 104309, 198, 95221, 108176, 111571, 103397, 126130, 110794, 120332, 15682, 108948, 95221, 117355, 20230, 102865, 101129, 68759, 104612, 107167, 122842, 103296, 48154, 50021, 111813, 72315, 9174, 102663, 101198, 115145, 70563, 111672, 94550, 109853, 198, 114652, 101182, 48154, 105284, 99397, 198, 14711, 107748, 106826, 19732, 107167, 122842, 16144, 102663, 101198, 115145, 70563, 111672, 94550, 16144, 121953, 15682, 57903, 33541, 32149, 95532, 102663, 101198, 115145, 70563, 111672, 94550, 15682, 5486, 103242, 104599, 16144, 24186, 16556, 105509, 120650, 30297, 103242, 109519, 101513, 97518, 10110, 107167, 122842, 7705, 16556, 67016, 106084, 100604, 102923, 103991, 38641, 9174, 77181, 26854, 112371, 5486, 76739, 106826, 72661, 102663, 101198, 115145, 70563, 111672, 94550, 30512, 102158, 30369, 39850, 78683, 109496, 29295, 48706, 54926, 104865, 102677, 107750, 99397, 20230, 112391, 30369, 24273, 32977, 16995, 33503, 42891, 116826, 30369, 118733, 109954, 9174, 122582, 76739, 106826, 127303, 114598, 5486, 33208, 90397, 100, 25446, 127303, 104984, 70563, 111672, 94550, 117824, 30297, 105908, 106084, 30369, 55031, 38641, 9174, 117032, 107167, 122842, 16556, 23039, 30297, 102663, 101198, 115145, 70563 ]
[ 111672, 94550, 77181, 5486, 108602, 34171, 16144, 117434, 21403, 97, 29295, 96412, 17129, 103468, 102944, 30512, 38129, 78434, 1811, 76739, 106826, 77181, 58426, 117434, 21403, 97, 16144, 96412, 19361, 33857, 29295, 110993, 107436, 83747, 100604, 33208, 90397, 100, 25446, 30512, 38129, 54926, 118733, 5486, 40862, 25333, 20230, 102663, 101198, 115145, 70563, 111672, 94550, 117824, 30297, 105908, 106084, 30369, 102677, 113334, 126529, 38641, 9174, 32977, 43514, 85791, 25827, 5486, 19361, 126120, 109904, 116945, 13153, 17620, 29295, 117434, 21403, 97, 103306, 43240, 47884, 96412, 17129, 115032, 107167, 122842, 16144, 102663, 101198, 115145, 70563, 111672, 94550, 120332, 29295, 5486, 8239, 114503, 32977, 105509, 34171, 32977, 126574, 19732, 78244, 58942, 33541, 9174, 14711, 125867, 101198, 115145, 70563, 111672, 94550, 16144, 39880, 52591, 47307, 38248, 109, 39880, 16556, 95221, 30512, 47000, 105784, 100909, 5486, 109134, 125231, 109335, 57903, 33541, 32149, 95532, 58426, 121894, 30512, 109161, 33208, 107726, 100604, 103846, 105352, 5486, 114392, 26854, 33563, 122539, 102663, 39880, 29295, 107693, 121711, 33541, 9174, 122270, 102923, 103991, 74482, 21105, 108, 124749, 15682, 5486, 120044, 29295, 117508, 48915, 101911, 111848, 99959, 126989, 114475, 76622, 126172, 16995, 121894, 20230, 57903, 33541, 109807, 103846, 117508, 48915, 101911, 103359, 105226, 32977, 32307, 37087, 120650, 30297, 101200, 64209, 29295, 107441, 72315, 9174, 53900, 102923, 103991, 123090, 105871, 104735, 248, 29295, 104004, 107441, 109749, 105908, 57903, 33541, 29295, 106116, 104983, 43568, 22649, 102052, 29295, 30813, 100604, 101200, 61633, 39926, 72315, 1811, 109683, 102052, 29295, 104028, 16144, 30512, 75293, 43514, 17129, 109954, 9174, 114950, 5486, 107750, 99397, 28542, 5486, 127408, 26854, 28542, 29295, 77121, 16995, 79721, 33503, 108948, 95221, 117355, 20230, 48154, 105284, 99397, 9458, 33334, 99397, 16995, 114146, 72315, 105823, 3490, 14711, 106369, 95221, 117355, 107898, 99397, 16995, 114146, 72315, 198, 14711, 108182, 118304, 198, 101778, 108931, 102865, 101129, 23530, 53229, 102865, 101129, 21, 12, 975, 12, 868, 198, 114672, 108304, 78767, 91482, 33710, 18, 106090, 198, 14711, 94632, 122086, 22398, 128001, 128000, 2, 109078, 120885, 13177, 105994, 16556, 27704, 109013, 58850, 105459, 10646, 55031, 107461, 52414, 30512, 50928, 38144, 99849, 29295, 109161, 16995, 6447, 51753, 63072, 41758, 44971, 61398, 9458, 103672, 117383, 102700, 44620, 105994, 16556, 13177, 27704, 109013, 10646, 58850, 105459, 36761, 198, 13177, 122502, 47884, 118587, 78698, 105262, 102832, 71634, 64810, 109554, 51431, 777, 18904, 198, 105994, 16556, 13177, 27704, 109013, 10646, 58850, 105459, 45631, 120111, 118587, 117876, 117657, 124122, 32335, 103424, 16144, 39880, 45923, 66953, 112900, 5, 76171, 22398, 70563, 44971, 38248, 115, 78205, 16073, 198, 41758, 44971, 61398, 9458, 103672, 117383, 7, 102700, 121782, 9953, 104858, 89151, 107859, 43444, 117735, 23954, 121225, 25, 56235, 19732, 9953, 61337, 198, 109898, 8107, 9953, 9080, 25, 679, 24, 14, 20, 14, 845, 198, 27452, 116285, 5486, 111134, 106384, 48552, 68408, 103988, 25197, 118567, 16556, 39880, 117675, 71634, 16144, 105117, 78349, 42634, 78683, 71493, 9458, 47260, 38248, 122, 9458, 68408, 72369, 71493, 84477, 15682, 5486, 78244, 61689, 66327, 122617, 30512, 109134, 109335, 118765, 1811, 105994, 125030, 107462, 43514, 81219, 25827, 27384, 102769, 26854, 106592, 102647, 104127, 108048, 30512, 104862, 32018, 21105, 103, 47884, 104702, 127211, 102769, 26854, 109335, 17792, 21990, 16144, 39177, 23538, 113468, 124500, 30369, 115789, 101182, 55031, 58426, 110018, 67645, 50834, 16556, 115289, 122279, 113115, 106608, 54926, 115789, 27384, 30926, 1811, 105994, 125030, 76947, 27384, 102769, 16556, 50928, 37689, 26854, 100909, 5486, 105994, 103378, 29295, 108608, 120266, 121837, 30512, 26130, 104699, 125231, 120572, 116326, 12533, 122481, 7705, 19732, 118844, 15682, 109453, 16144, 91482, 76428, 102750, 22398, 17905, 16144, 22649, 104611, 19732, 101682, 76622, 18655, 76947, 103424, 117201, 109954, 9174, 118322, 25580, 102052, 112832, 20230, 120885, 5486, 43240, 119064, 5486, 103350, 20230, 121771, 115867, 5486, 121507, 57942, 95, 29295, 108285, 29295, 103836, 109807, 26854, 32149, 16556, 115515, 5486, 105994, 29295, 27384, 102769, 36785, 106046, 105262, 102944, 108048, 30512, 19012, 112, 64121, 18655, 76947, 36896, 104862, 32018, 10646, 54926, 1811, 121507, 57942, 95, 30512, 102647, 104369, 121142, 103470, 106116, 121507, 57942, 95, 16144, 124283, 104371, 30512, 112832, 126036, 102987, 47884, 19012, 246, 31431, 17297, 102639, 100481, 47884, 1811, 103378, 120811, 32977, 5486, 115963, 20230, 110745, 102769, 26854, 100909, 102677, 104468, 17792, 21990, 16144, 58426, 39177, 104680, 113468, 124500, 30369, 102677, 115789, 112854, 58942, 100481, 107188, 118145, 105110, 100604, 109807, 17905, 16556, 5486, 121837, 102677, 102944, 15682, 108882, 64121, 30358, 101832, 100481, 47884, 125231, 103195, 1811, 102131, 95604, 105908, 109453, 16144, 22649, 104611, 16144, 100818, 116, 117083, 105879, 109954, 9174, 41758, 44971, 61398, 9458, 103672, 117383, 102700, 44620, 105994, 16556, 13177, 27704, 109013, 10646, 58850, 105459, 45631, 120111, 118587, 117876, 117657, 124122, 32335, 103424, 16144, 39880, 45923, 66953, 112900, 5, 76171, 22398, 70563, 44971, 38248, 115, 78205, 16073, 121359, 9953, 104858, 89151, 107859, 117735, 5486, 56235, 19732, 9953, 61337, 119735, 5486, 108895, 39926, 5486, 1041, 17792, 71689, 16144, 106063, 109832, 9554, 16556, 5486, 118322, 112772, 80195, 86614, 36785, 117295, 13177, 106222, 16144, 40053, 109375, 66383, 95604, 110426, 30512, 107666, 43514, 127258, 17663, 48634, 114792, 100472, 111482, 20230, 124773, 91482, 109496, 15024, 106116, 36117, 95, 104028, 101523, 227, 48634, 121142, 103470, 5486, 103350, 104983, 20230, 123726, 100481, 47884, 17905, 16556, 107734, 20230, 80195, 59739, 112690, 30512, 126362, 109768, 50834, 33541, 1811, 121786, 117813, 46729, 16144, 52591, 93488, 64810, 22398, 9458, 80805, 108941, 115247, 33671, 16144, 112690, 32977, 103350, 20230, 19361, 105576, 123253, 9174, 13177, 44620, 38574, 15682, 38574, 116787, 38574, 103195, 36761, 1811, 102472, 84477, 33710, 65575, 9458, 105335, 76171, 16144, 44620, 103013, 242, 103013, 229, 15682, 103013, 242, 103013, 229, 116787, 103013, 242, 103013, 229, 103195, 36761, 123017, 100204, 31431, 126529, 1811, 20713, 38574, 104817, 104004, 28713, 102802, 20230, 106116, 104369, 25827, 61648, 20230, 60358, 109669, 47884, 1811, 11881, 242, 15682, 114652, 104817, 64121, 53953, 30512, 39926, 28713, 16144, 1811, 122571, 51330, 112690, 30512, 117119, 72661, 71289, 111842, 102639, 30369, 100909, 16144, 57106, 83601, 102, 20230, 33655, 103836, 1811, 116537, 123011, 117864, 82973, 30512, 32018, 62004, 29295, 43514, 125743, 5486, 53953, 30926, 15682, 83747, 21105, 248, 59739, 38574, 106090, 30512, 119870, 104127, 127105, 58666, 106624, 61648, 54926, 5486, 119150, 1811, 121786, 117813, 19732, 104674, 117813, 15682, 19732, 47884, 20230, 116326, 10410, 122481, 23954, 15120, 78244, 16556, 78244, 116285, 5486, 118220, 30369, 26854, 5486, 102677, 118733, 109954, 1811, 61648, 121254, 32149, 107462, 47884, 126101, 118220, 76947, 112987, 124324, 115397, 38574, 5486, 53900, 15120, 38574, 114318, 29741, 31431, 106307, 105784, 100909, 1811, 38574, 107850, 81219, 21105, 103, 25827, 111243, 76947, 16144, 102717, 32149, 113637, 109335, 99849, 32977, 5486, 121786, 117813, 71289, 104674, 117813, 20230, 48249, 100472, 100909, 77181, 124897, 1811, 37087, 38144, 16144, 108149, 33503, 106644, 30369, 91482, 76428, 102750, 22398, 20230, 33035, 100204, 30369, 112690, 38641, 127211, 30926, 26854, 104468, 106116, 106592, 108044, 58942, 104533, 50834, 20230, 5486, 105335, 76171, 15682, 13177, 118220, 30369, 26854, 66383, 117952, 100604, 100909, 38641, 1811, 61826, 16144, 95221, 16144, 60632, 102334, 112690, 16556, 69978, 76947, 101790, 255, 17663, 16144, 38641, 9174, 22656, 102181, 29295, 115612, 26854, 104468, 127862, 28542, 1811, 105994, 16556, 123726, 30369, 124122, 127091, 30512, 27704, 109013, 7261, 17792, 30512, 107121, 72342, 100934, 100909, 1811, 108031, 15120, 59739, 15682, 108048, 29295, 37087, 38144, 111482, 103195, 100909, 1811, 110924, 102052, 5486, 124118, 40053, 105110, 75694, 30369, 48634, 104195, 30813, 115991, 33541, 1811, 115963, 20230, 5486, 106222, 109904, 33035, 104611, 5486, 37046, 104680, 29295, 40265, 115926, 25580, 36785, 106046, 103836, 100909, 5486, 30512, 117633, 17663, 111090, 125380, 29295, 50520, 108, 17129, 76947, 61689, 1811, 109453, 105459, 29295, 5486, 19653, 30512, 110226, 109315, 105908, 103082, 28713, 114667, 15682, 77693, 108422, 33121, 119627, 5486, 33035, 98499, 39926, 64121, 104533, 5486, 110924, 102052, 17905, 61304, 120950, 55999, 33035, 28542, 125001, 47884, 59739, 32149, 91774, 59739, 117295, 113334, 38641, 9174, 119869, 20230, 126362, 56051, 105117, 78349, 42634, 78683, 71493, 15682, 13177, 101198, 22398, 55031, 48864, 104127, 19653, 107294, 105722, 100472, 109335, 101182, 91006, 102677, 105284, 99397, 113115, 39926, 33671, 119775, 103899, 107290, 61689, 9174, 85701, 103296, 124911, 21990, 16556, 5486, 19653, 30512, 43511, 17792, 20230, 117943, 31431, 120195, 28713, 105908, 41920, 27479, 105693, 1811, 113160, 49988, 30512, 109972, 30297, 112973, 119467, 47884, 38144, 110371, 17792, 105459, 105110, 127880, 113009, 125338, 124089, 25827, 110034, 32149, 106046, 76947, 49988, 127397, 114604, 1811, 109755, 119467, 64209, 19732, 37026, 22023, 16144, 26854, 30813, 55031, 105994, 15682, 118765, 106046, 76947, 120007, 20230, 36668, 106839, 112607, 30512, 110968, 39926, 114604, 102189, 101832, 109900, 16556, 30297, 17129, 47884, 16995, 100472, 103846, 15024, 120937, 1811, 19653, 32977, 21388, 113529, 32977, 105994, 16556, 113160, 49988, 30512, 113801, 101682, 76622, 123207, 105110, 100604, 19732, 78183, 117295, 103296, 5486, 82973, 29295, 32149, 102518, 1811, 19653, 54926, 103846, 102052, 5486, 105994, 30512, 125821, 22023, 117943, 21105, 103, 118145, 105110, 100604, 109807, 103846, 102052, 5486, 110018, 102052, 112294, 64121, 32977, 115143, 17663, 125231, 118816, 113954, 56051, 16144, 1811, 109755, 119467, 64209, 19732, 37026, 22023, 16144, 26854, 30813, 107118, 116898, 112185, 20230, 110018, 67645, 50834, 35083, 119895, 103792, 103794, 112832, 72661, 102131, 120572, 101832, 1811, 72661, 106613, 111186, 30512, 30358, 101832, 30369, 28713, 102802, 20230, 83747, 21105, 248, 59739, 5486, 114284, 125174, 114652, 107850, 102802, 104526, 104004, 104468, 17905, 46034, 117084, 105898, 107188, 59459, 9716, 122481, 23954, 51330, 109453, 16144, 99849, 95221, 100604, 112690, 16144, 26854, 32149, 55031, 5486, 98499, 30046, 15682, 67645, 33121, 103378, 43240, 119064, 109453, 29295, 33035, 100472, 107202, 111108, 16144, 45893, 30512, 114284, 110240, 47884, 118733, 109954, 32149, 66327, 105994, 30512, 125821, 22023, 117943, 21105, 103, 118145, 105110, 100604, 109807, 103846, 102052, 5486, 110018, 102052, 112294, 64121, 32977, 115143, 17663, 125231, 118816, 113954, 56051, 16144, 66383, 102158, 30369, 109453, 16144, 112442, 95221, 15682, 5486, 37087, 38144, 16144, 99849, 33503, 116421, 105335, 84477, 118372, 20230, 80195, 103836, 17792, 104680, 30512, 117681, 107875, 54926, 118733, 109954, 9174, 53900, 109453, 15682, 36896, 101083, 107809, 105352, 104043, 30591, 76947, 102717, 102800, 102944, 15682, 11571, 98359, 249, 76947, 102717, 102800, 102944, 15682, 91006, 102677, 99397, 16995, 113115, 39926, 36896, 19653, 109853, 125821, 90962, 107610, 16073, 20230, 5486, 37656, 74245, 20230, 5486, 102158, 110071, 125231, 36785, 119150, 59459, 16325, 105838, 7705, 46729, 83812, 225, 30512, 124237, 30297, 103846, 107294, 17129, 110104, 117876, 20230, 81258, 119188, 100909, 5486, 106942, 29295, 104584, 50834, 104196, 103646, 100909, 5486, 120175, 104526, 102189, 31431, 127408, 110276, 31431, 56051, 100909, 122603, 110226, 17701, 16144, 117876, 30512, 39926, 104654, 30512, 46456, 58942, 100934, 80805, 84477, 118567, 29295, 107991, 100909, 115515, 16144, 116245, 20230, 28713, 67645, 31431, 100815, 47884, 112772, 114099, 102669, 39926, 15682, 21388, 113529, 39926, 105898, 100909, 14382, 102131, 95604, 109335, 102158, 102204, 126386, 55031, 5486, 102971, 91077, 15682, 115534, 66201, 19732, 105994, 30512, 57106, 103854, 100934, 113334, 1811, 35083, 53901, 59739, 105784, 104468, 71289, 107436, 5486, 103283, 16144, 117876, 16556, 125764, 100934, 39880, 117675, 71634, 16144, 103350, 107328, 109853, 5486, 125821, 37656, 74245, 20230, 95604, 125231, 36785, 101832, 116326, 9716, 122481, 7705, 19732, 103899, 107290, 61689, 9174, 43240, 119064, 91482, 76428, 102750, 22398, 111817, 71289, 39880, 117675, 71634, 15682, 115364, 19653, 30512, 100815, 117831, 76947, 21405, 102321, 54926, 113009, 5486, 115534, 66201, 126694, 31431, 109415, 38144, 103801, 61689, 1811, 72661, 5486, 19653, 76947, 102131, 110034, 16556, 124304, 114318, 109453, 15682, 95604, 113334, 38641, 1811, 19653, 76947, 119147, 26274, 255, 16995, 102944, 1811, 109860, 127105, 5486, 113871, 30512, 19012, 112, 104004, 102677, 104468, 112832, 20230, 72661, 87447, 32149, 115032, 105272, 102677, 100909, 1811, 19653, 30512, 125821, 37656, 74245, 20230, 102158, 103950, 57980, 1811, 115018, 61994, 32149, 59614, 61994, 32149, 110371, 22656, 15682, 5486, 17129, 30813, 20230, 58426, 105933, 19653, 30512, 119147, 26274, 255, 47884, 102158, 103836, 111482, 16556, 119883, 102532, 61689, 9174, 112599, 5486, 111482, 16144, 112690, 16144, 48634, 16144, 104195, 30813, 29295, 117382, 105755, 119448, 115737, 76947, 61689, 1811, 114774, 5486, 126128, 121819, 84389, 101732, 111482, 16144, 112690, 16144, 48634, 29295, 50338, 54322, 116216, 105898, 102677, 125231, 123253, 32149, 109900, 15682, 19732, 111243, 126521, 100909, 36785, 106046, 61689, 1811, 2, 2727, 2288, 16144, 117401, 20230, 15024, 85791, 5486, 106222, 16144, 111661, 101198, 78683, 78525, 91062, 91062, 109229, 73590, 20230, 15024, 85791, 113637, 22656, 29295, 67645, 120950, 17161, 101171, 230, 16556, 98499, 17129, 104028, 32149, 15682, 78183, 107277, 107515, 29295, 5486, 91482, 76428, 102750, 22398, 102181, 103306, 32977, 5486, 102099, 28308, 241, 102404, 102181, 103306, 32977, 5486, 115981, 48864, 102181, 103306, 32977, 5486, 32335, 103424, 112028, 119752, 125939, 109860, 127105, 5486, 104817, 17129, 103468, 22656, 26854, 104865, 110241, 33121, 107515, 1811, 112371, 104328, 5486, 124475, 19732, 76947, 36896, 105994, 16556, 27704, 109013, 58850, 105459, 117503, 26854, 32149, 55031, 115364, 80805, 84477, 118567, 104088, 59739, 107441, 72315, 1811, 50834, 104043, 108048, 29295, 1811, 98499, 30046, 125030, 76947, 5486, 123726, 30369, 64467, 13393, 251, 117282, 123253, 9174, 68759, 102750, 28713, 17129, 30512, 108526, 117243, 126693, 110770, 77219, 126130, 109948, 76622, 78434, 106609, 25904, 16556, 108526, 117243, 54926, 198, 21124, 16556, 108526, 117243, 54926, 128001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 111672, 94550, 77181, 5486, 108602, 34171, 16144, 117434, 21403, 97, 29295, 96412, 17129, 103468, 102944, 30512, 38129, 78434, 1811, 76739, 106826, 77181, 58426, 117434, 21403, 97, 16144, 96412, 19361, 33857, 29295, 110993, 107436, 83747, 100604, 33208, 90397, 100, 25446, 30512, 38129, 54926, 118733, 5486, 40862, 25333, 20230, 102663, 101198, 115145, 70563, 111672, 94550, 117824, 30297, 105908, 106084, 30369, 102677, 113334, 126529, 38641, 9174, 32977, 43514, 85791, 25827, 5486, 19361, 126120, 109904, 116945, 13153, 17620, 29295, 117434, 21403, 97, 103306, 43240, 47884, 96412, 17129, 115032, 107167, 122842, 16144, 102663, 101198, 115145, 70563, 111672, 94550, 120332, 29295, 5486, 8239, 114503, 32977, 105509, 34171, 32977, 126574, 19732, 78244, 58942, 33541, 9174, 14711, 125867, 101198, 115145, 70563, 111672, 94550, 16144, 39880, 52591, 47307, 38248, 109, 39880, 16556, 95221, 30512, 47000, 105784, 100909, 5486, 109134, 125231, 109335, 57903, 33541, 32149, 95532, 58426, 121894, 30512, 109161, 33208, 107726, 100604, 103846, 105352, 5486, 114392, 26854, 33563, 122539, 102663, 39880, 29295, 107693, 121711, 33541, 9174, 122270, 102923, 103991, 74482, 21105, 108, 124749, 15682, 5486, 120044, 29295, 117508, 48915, 101911, 111848, 99959, 126989, 114475, 76622, 126172, 16995, 121894, 20230, 57903, 33541, 109807, 103846, 117508, 48915, 101911, 103359, 105226, 32977, 32307, 37087, 120650, 30297, 101200, 64209, 29295, 107441, 72315, 9174, 53900, 102923, 103991, 123090, 105871, 104735, 248, 29295, 104004, 107441, 109749, 105908, 57903, 33541, 29295, 106116, 104983, 43568, 22649, 102052, 29295, 30813, 100604, 101200, 61633, 39926, 72315, 1811, 109683, 102052, 29295, 104028, 16144, 30512, 75293, 43514, 17129, 109954, 9174, 114950, 5486, 107750, 99397, 28542, 5486, 127408, 26854, 28542, 29295, 77121, 16995, 79721, 33503, 108948, 95221, 117355, 20230, 48154, 105284, 99397, 9458, 33334, 99397, 16995, 114146, 72315, 105823, 3490, 14711, 106369, 95221, 117355, 107898, 99397, 16995, 114146, 72315, 198, 14711, 108182, 118304, 198, 101778, 108931, 102865, 101129, 23530, 53229, 102865, 101129, 21, 12, 975, 12, 868, 198, 114672, 108304, 78767, 91482, 33710, 18, 106090, 198, 14711, 94632, 122086, 22398, 128001, 128000, 2, 109078, 120885, 13177, 105994, 16556, 27704, 109013, 58850, 105459, 10646, 55031, 107461, 52414, 30512, 50928, 38144, 99849, 29295, 109161, 16995, 6447, 51753, 63072, 41758, 44971, 61398, 9458, 103672, 117383, 102700, 44620, 105994, 16556, 13177, 27704, 109013, 10646, 58850, 105459, 36761, 198, 13177, 122502, 47884, 118587, 78698, 105262, 102832, 71634, 64810, 109554, 51431, 777, 18904, 198, 105994, 16556, 13177, 27704, 109013, 10646, 58850, 105459, 45631, 120111, 118587, 117876, 117657, 124122, 32335, 103424, 16144, 39880, 45923, 66953, 112900, 5, 76171, 22398, 70563, 44971, 38248, 115, 78205, 16073, 198, 41758, 44971, 61398, 9458, 103672, 117383, 7, 102700, 121782, 9953, 104858, 89151, 107859, 43444, 117735, 23954, 121225, 25, 56235, 19732, 9953, 61337, 198, 109898, 8107, 9953, 9080, 25, 679, 24, 14, 20, 14, 845, 198, 27452, 116285, 5486, 111134, 106384, 48552, 68408, 103988, 25197, 118567, 16556, 39880, 117675, 71634, 16144, 105117, 78349, 42634, 78683, 71493, 9458, 47260, 38248, 122, 9458, 68408, 72369, 71493, 84477, 15682, 5486, 78244, 61689, 66327, 122617, 30512, 109134, 109335, 118765, 1811, 105994, 125030, 107462, 43514, 81219, 25827, 27384, 102769, 26854, 106592, 102647, 104127, 108048, 30512, 104862, 32018, 21105, 103, 47884, 104702, 127211, 102769, 26854, 109335, 17792, 21990, 16144, 39177, 23538, 113468, 124500, 30369, 115789, 101182, 55031, 58426, 110018, 67645, 50834, 16556, 115289, 122279, 113115, 106608, 54926, 115789, 27384, 30926, 1811, 105994, 125030, 76947, 27384, 102769, 16556, 50928, 37689, 26854, 100909, 5486, 105994, 103378, 29295, 108608, 120266, 121837, 30512, 26130, 104699, 125231, 120572, 116326, 12533, 122481, 7705, 19732, 118844, 15682, 109453, 16144, 91482, 76428, 102750, 22398, 17905, 16144, 22649, 104611, 19732, 101682, 76622, 18655, 76947, 103424, 117201, 109954, 9174, 118322, 25580, 102052, 112832, 20230, 120885, 5486, 43240, 119064, 5486, 103350, 20230, 121771, 115867, 5486, 121507, 57942, 95, 29295, 108285, 29295, 103836, 109807, 26854, 32149, 16556, 115515, 5486, 105994, 29295, 27384, 102769, 36785, 106046, 105262, 102944, 108048, 30512, 19012, 112, 64121, 18655, 76947, 36896, 104862, 32018, 10646, 54926, 1811, 121507, 57942, 95, 30512, 102647, 104369, 121142, 103470, 106116, 121507, 57942, 95, 16144, 124283, 104371, 30512, 112832, 126036, 102987, 47884, 19012, 246, 31431, 17297, 102639, 100481, 47884, 1811, 103378, 120811, 32977, 5486, 115963, 20230, 110745, 102769, 26854, 100909, 102677, 104468, 17792, 21990, 16144, 58426, 39177, 104680, 113468, 124500, 30369, 102677, 115789, 112854, 58942, 100481, 107188, 118145, 105110, 100604, 109807, 17905, 16556, 5486, 121837, 102677, 102944, 15682, 108882, 64121, 30358, 101832, 100481, 47884, 125231, 103195, 1811, 102131, 95604, 105908, 109453, 16144, 22649, 104611, 16144, 100818, 116, 117083, 105879, 109954, 9174, 41758, 44971, 61398, 9458, 103672, 117383, 102700, 44620, 105994, 16556, 13177, 27704, 109013, 10646, 58850, 105459, 45631, 120111, 118587, 117876, 117657, 124122, 32335, 103424, 16144, 39880, 45923, 66953, 112900, 5, 76171, 22398, 70563, 44971, 38248, 115, 78205, 16073, 121359, 9953, 104858, 89151, 107859, 117735, 5486, 56235, 19732, 9953, 61337, 119735, 5486, 108895, 39926, 5486, 1041, 17792, 71689, 16144, 106063, 109832, 9554, 16556, 5486, 118322, 112772, 80195, 86614, 36785, 117295, 13177, 106222, 16144, 40053, 109375, 66383, 95604, 110426, 30512, 107666, 43514, 127258, 17663, 48634, 114792, 100472, 111482, 20230, 124773, 91482, 109496, 15024, 106116, 36117, 95, 104028, 101523, 227, 48634, 121142, 103470, 5486, 103350, 104983, 20230, 123726, 100481, 47884, 17905, 16556, 107734, 20230, 80195, 59739, 112690, 30512, 126362, 109768, 50834, 33541, 1811, 121786, 117813, 46729, 16144, 52591, 93488, 64810, 22398, 9458, 80805, 108941, 115247, 33671, 16144, 112690, 32977, 103350, 20230, 19361, 105576, 123253, 9174, 13177, 44620, 38574, 15682, 38574, 116787, 38574, 103195, 36761, 1811, 102472, 84477, 33710, 65575, 9458, 105335, 76171, 16144, 44620, 103013, 242, 103013, 229, 15682, 103013, 242, 103013, 229, 116787, 103013, 242, 103013, 229, 103195, 36761, 123017, 100204, 31431, 126529, 1811, 20713, 38574, 104817, 104004, 28713, 102802, 20230, 106116, 104369, 25827, 61648, 20230, 60358, 109669, 47884, 1811, 11881, 242, 15682, 114652, 104817, 64121, 53953, 30512, 39926, 28713, 16144, 1811, 122571, 51330, 112690, 30512, 117119, 72661, 71289, 111842, 102639, 30369, 100909, 16144, 57106, 83601, 102, 20230, 33655, 103836, 1811, 116537, 123011, 117864, 82973, 30512, 32018, 62004, 29295, 43514, 125743, 5486, 53953, 30926, 15682, 83747, 21105, 248, 59739, 38574, 106090, 30512, 119870, 104127, 127105, 58666, 106624, 61648, 54926, 5486, 119150, 1811, 121786, 117813, 19732, 104674, 117813, 15682, 19732, 47884, 20230, 116326, 10410, 122481, 23954, 15120, 78244, 16556, 78244, 116285, 5486, 118220, 30369, 26854, 5486, 102677, 118733, 109954, 1811, 61648, 121254, 32149, 107462, 47884, 126101, 118220, 76947, 112987, 124324, 115397, 38574, 5486, 53900, 15120, 38574, 114318, 29741, 31431, 106307, 105784, 100909, 1811, 38574, 107850, 81219, 21105, 103, 25827, 111243, 76947, 16144, 102717, 32149, 113637, 109335, 99849, 32977, 5486, 121786, 117813, 71289, 104674, 117813, 20230, 48249, 100472, 100909, 77181, 124897, 1811, 37087, 38144, 16144, 108149, 33503, 106644, 30369, 91482, 76428, 102750, 22398, 20230, 33035, 100204, 30369, 112690, 38641, 127211, 30926, 26854, 104468, 106116, 106592, 108044, 58942, 104533, 50834, 20230, 5486, 105335, 76171, 15682, 13177, 118220, 30369, 26854, 66383, 117952, 100604, 100909, 38641, 1811, 61826, 16144, 95221, 16144, 60632, 102334, 112690, 16556, 69978, 76947, 101790, 255, 17663, 16144, 38641, 9174, 22656, 102181, 29295, 115612, 26854, 104468, 127862, 28542, 1811, 105994, 16556, 123726, 30369, 124122, 127091, 30512, 27704, 109013, 7261, 17792, 30512, 107121, 72342, 100934, 100909, 1811, 108031, 15120, 59739, 15682, 108048, 29295, 37087, 38144, 111482, 103195, 100909, 1811, 110924, 102052, 5486, 124118, 40053, 105110, 75694, 30369, 48634, 104195, 30813, 115991, 33541, 1811, 115963, 20230, 5486, 106222, 109904, 33035, 104611, 5486, 37046, 104680, 29295, 40265, 115926, 25580, 36785, 106046, 103836, 100909, 5486, 30512, 117633, 17663, 111090, 125380, 29295, 50520, 108, 17129, 76947, 61689, 1811, 109453, 105459, 29295, 5486, 19653, 30512, 110226, 109315, 105908, 103082, 28713, 114667, 15682, 77693, 108422, 33121, 119627, 5486, 33035, 98499, 39926, 64121, 104533, 5486, 110924, 102052, 17905, 61304, 120950, 55999, 33035, 28542, 125001, 47884, 59739, 32149, 91774, 59739, 117295, 113334, 38641, 9174, 119869, 20230, 126362, 56051, 105117, 78349, 42634, 78683, 71493, 15682, 13177, 101198, 22398, 55031, 48864, 104127, 19653, 107294, 105722, 100472, 109335, 101182, 91006, 102677, 105284, 99397, 113115, 39926, 33671, 119775, 103899, 107290, 61689, 9174, 85701, 103296, 124911, 21990, 16556, 5486, 19653, 30512, 43511, 17792, 20230, 117943, 31431, 120195, 28713, 105908, 41920, 27479, 105693, 1811, 113160, 49988, 30512, 109972, 30297, 112973, 119467, 47884, 38144, 110371, 17792, 105459, 105110, 127880, 113009, 125338, 124089, 25827, 110034, 32149, 106046, 76947, 49988, 127397, 114604, 1811, 109755, 119467, 64209, 19732, 37026, 22023, 16144, 26854, 30813, 55031, 105994, 15682, 118765, 106046, 76947, 120007, 20230, 36668, 106839, 112607, 30512, 110968, 39926, 114604, 102189, 101832, 109900, 16556, 30297, 17129, 47884, 16995, 100472, 103846, 15024, 120937, 1811, 19653, 32977, 21388, 113529, 32977, 105994, 16556, 113160, 49988, 30512, 113801, 101682, 76622, 123207, 105110, 100604, 19732, 78183, 117295, 103296, 5486, 82973, 29295, 32149, 102518, 1811, 19653, 54926, 103846, 102052, 5486, 105994, 30512, 125821, 22023, 117943, 21105, 103, 118145, 105110, 100604, 109807, 103846, 102052, 5486, 110018, 102052, 112294, 64121, 32977, 115143, 17663, 125231, 118816, 113954, 56051, 16144, 1811, 109755, 119467, 64209, 19732, 37026, 22023, 16144, 26854, 30813, 107118, 116898, 112185, 20230, 110018, 67645, 50834, 35083, 119895, 103792, 103794, 112832, 72661, 102131, 120572, 101832, 1811, 72661, 106613, 111186, 30512, 30358, 101832, 30369, 28713, 102802, 20230, 83747, 21105, 248, 59739, 5486, 114284, 125174, 114652, 107850, 102802, 104526, 104004, 104468, 17905, 46034, 117084, 105898, 107188, 59459, 9716, 122481, 23954, 51330, 109453, 16144, 99849, 95221, 100604, 112690, 16144, 26854, 32149, 55031, 5486, 98499, 30046, 15682, 67645, 33121, 103378, 43240, 119064, 109453, 29295, 33035, 100472, 107202, 111108, 16144, 45893, 30512, 114284, 110240, 47884, 118733, 109954, 32149, 66327, 105994, 30512, 125821, 22023, 117943, 21105, 103, 118145, 105110, 100604, 109807, 103846, 102052, 5486, 110018, 102052, 112294, 64121, 32977, 115143, 17663, 125231, 118816, 113954, 56051, 16144, 66383, 102158, 30369, 109453, 16144, 112442, 95221, 15682, 5486, 37087, 38144, 16144, 99849, 33503, 116421, 105335, 84477, 118372, 20230, 80195, 103836, 17792, 104680, 30512, 117681, 107875, 54926, 118733, 109954, 9174, 53900, 109453, 15682, 36896, 101083, 107809, 105352, 104043, 30591, 76947, 102717, 102800, 102944, 15682, 11571, 98359, 249, 76947, 102717, 102800, 102944, 15682, 91006, 102677, 99397, 16995, 113115, 39926, 36896, 19653, 109853, 125821, 90962, 107610, 16073, 20230, 5486, 37656, 74245, 20230, 5486, 102158, 110071, 125231, 36785, 119150, 59459, 16325, 105838, 7705, 46729, 83812, 225, 30512, 124237, 30297, 103846, 107294, 17129, 110104, 117876, 20230, 81258, 119188, 100909, 5486, 106942, 29295, 104584, 50834, 104196, 103646, 100909, 5486, 120175, 104526, 102189, 31431, 127408, 110276, 31431, 56051, 100909, 122603, 110226, 17701, 16144, 117876, 30512, 39926, 104654, 30512, 46456, 58942, 100934, 80805, 84477, 118567, 29295, 107991, 100909, 115515, 16144, 116245, 20230, 28713, 67645, 31431, 100815, 47884, 112772, 114099, 102669, 39926, 15682, 21388, 113529, 39926, 105898, 100909, 14382, 102131, 95604, 109335, 102158, 102204, 126386, 55031, 5486, 102971, 91077, 15682, 115534, 66201, 19732, 105994, 30512, 57106, 103854, 100934, 113334, 1811, 35083, 53901, 59739, 105784, 104468, 71289, 107436, 5486, 103283, 16144, 117876, 16556, 125764, 100934, 39880, 117675, 71634, 16144, 103350, 107328, 109853, 5486, 125821, 37656, 74245, 20230, 95604, 125231, 36785, 101832, 116326, 9716, 122481, 7705, 19732, 103899, 107290, 61689, 9174, 43240, 119064, 91482, 76428, 102750, 22398, 111817, 71289, 39880, 117675, 71634, 15682, 115364, 19653, 30512, 100815, 117831, 76947, 21405, 102321, 54926, 113009, 5486, 115534, 66201, 126694, 31431, 109415, 38144, 103801, 61689, 1811, 72661, 5486, 19653, 76947, 102131, 110034, 16556, 124304, 114318, 109453, 15682, 95604, 113334, 38641, 1811, 19653, 76947, 119147, 26274, 255, 16995, 102944, 1811, 109860, 127105, 5486, 113871, 30512, 19012, 112, 104004, 102677, 104468, 112832, 20230, 72661, 87447, 32149, 115032, 105272, 102677, 100909, 1811, 19653, 30512, 125821, 37656, 74245, 20230, 102158, 103950, 57980, 1811, 115018, 61994, 32149, 59614, 61994, 32149, 110371, 22656, 15682, 5486, 17129, 30813, 20230, 58426, 105933, 19653, 30512, 119147, 26274, 255, 47884, 102158, 103836, 111482, 16556, 119883, 102532, 61689, 9174, 112599, 5486, 111482, 16144, 112690, 16144, 48634, 16144, 104195, 30813, 29295, 117382, 105755, 119448, 115737, 76947, 61689, 1811, 114774, 5486, 126128, 121819, 84389, 101732, 111482, 16144, 112690, 16144, 48634, 29295, 50338, 54322, 116216, 105898, 102677, 125231, 123253, 32149, 109900, 15682, 19732, 111243, 126521, 100909, 36785, 106046, 61689, 1811, 2, 2727, 2288, 16144, 117401, 20230, 15024, 85791, 5486, 106222, 16144, 111661, 101198, 78683, 78525, 91062, 91062, 109229, 73590, 20230, 15024, 85791, 113637, 22656, 29295, 67645, 120950, 17161, 101171, 230, 16556, 98499, 17129, 104028, 32149, 15682, 78183, 107277, 107515, 29295, 5486, 91482, 76428, 102750, 22398, 102181, 103306, 32977, 5486, 102099, 28308, 241, 102404, 102181, 103306, 32977, 5486, 115981, 48864, 102181, 103306, 32977, 5486, 32335, 103424, 112028, 119752, 125939, 109860, 127105, 5486, 104817, 17129, 103468, 22656, 26854, 104865, 110241, 33121, 107515, 1811, 112371, 104328, 5486, 124475, 19732, 76947, 36896, 105994, 16556, 27704, 109013, 58850, 105459, 117503, 26854, 32149, 55031, 115364, 80805, 84477, 118567, 104088, 59739, 107441, 72315, 1811, 50834, 104043, 108048, 29295, 1811, 98499, 30046, 125030, 76947, 5486, 123726, 30369, 64467, 13393, 251, 117282, 123253, 9174, 68759, 102750, 28713, 17129, 30512, 108526, 117243, 126693, 110770, 77219, 126130, 109948, 76622, 78434, 106609, 25904, 16556, 108526, 117243, 54926, 198, 21124, 16556, 108526, 117243, 54926, 128001 ]
[ 128000, 2, 112498, 106496, 119049, 101921, 104, 16556, 33014, 30358, 29295, 115079, 105262, 32149, 198, 40452, 15308, 226, 113598, 101559, 16144, 5730, 2259, 38641, 1811, 33563, 105298, 64467, 106839, 16144, 103359, 47523, 30046, 16556, 5486, 45829, 106496, 119049, 101921, 104, 16144, 110577, 104198, 114172, 122291, 24273, 29295, 104157, 79721, 1811, 45829, 106496, 119049, 101921, 104, 15682, 120268, 30813, 26854, 102944, 32977, 96412, 62004, 104533, 5486, 966, 97049, 71689, 16144, 111482, 16144, 508, 12, 966, 113127, 20230, 64121, 110071, 102131, 38641, 1811, 91763, 106358, 126036, 111017, 40862, 29295, 126574, 104466, 112391, 79721, 122262, 32977, 26854, 111571, 103397, 15682, 5486, 9953, 106613, 33857, 29295, 43240, 47884, 109020, 100909, 19732, 9953, 106613, 108631, 38641, 109807, 43511, 20230, 9953, 106613, 116749, 16144, 20834, 104473, 5486, 115519, 108631, 5486, 118430, 126017, 10110, 20251, 25197, 44971, 29295, 60358, 16995, 7705, 104309, 115991, 33541, 1811, 111571, 103397, 15682, 108608, 116245, 19732, 116690, 115991, 33541, 9174, 103359, 47523, 112919, 24273, 55031, 5486, 33563, 105298, 64467, 106839, 16144, 103359, 47523, 110276, 104468, 113351, 116310, 29295, 119448, 16995, 55031, 36785, 119150, 29295, 5486, 45829, 106496, 119049, 101921, 104, 19732, 33014, 30358, 115079, 21601, 29295, 116690, 103792, 104865, 19732, 104655, 32149, 33121, 79721, 1811, 119869, 15682, 104405, 108995, 26854, 16449, 106046, 100472, 105879, 17620, 124403, 19732, 108044, 107800, 16144, 119627, 5486, 95221, 110276, 105879, 58426, 75267, 16556, 104873, 115694, 64121, 79721, 1811, 112990, 13177, 101921, 104, 103468, 45829, 106496, 29295, 74245, 67669, 868, 6358, 108680, 101983, 104533, 33334, 113351, 30512, 110408, 15024, 109415, 30369, 72342, 117201, 5486, 17297, 113351, 34048, 29295, 104735, 101, 33503, 102189, 104466, 91774, 105262, 105908, 57903, 33541, 115204, 102677, 61304, 107121, 104088, 126268, 79721, 1811, 868, 6358, 15682, 17129, 30591, 17129, 30591, 119448, 16995, 26854, 106046, 108064, 59739, 13177, 16995, 17129, 112825, 110904, 20230, 104873, 103854, 127567, 114387, 61304, 107121, 115991, 79721, 29295, 5486, 50520, 111, 102800, 109335, 17620, 124403, 103846, 101682, 120761, 39177, 7, 111800, 120761, 39177, 8, 20230, 114140, 126130, 124730, 78434, 66383, 108044, 58942, 79721, 9174, 87177, 30512, 104655, 47884, 16325, 77181, 5486, 56965, 102456, 108710, 101557, 96, 71289, 117401, 33857, 29295, 83747, 100604, 105908, 33014, 30358, 115079, 21601, 16144, 113385, 19732, 106596, 29295, 106084, 28713, 103846, 115515, 18904, 16144, 33014, 30358, 115079, 21601, 15682, 104654, 108710, 101557, 96, 16144, 125396, 29295, 108008, 20230, 126574, 106046, 61689, 119520, 5486, 108895, 56051, 116436, 111694, 29295, 116690, 103792, 115789, 101182, 104865, 26854, 19732, 53508, 231, 104195, 115717, 79721, 97999, 72661, 5486, 116436, 111694, 29295, 116690, 107113, 33503, 127177, 111800, 112984, 112603, 32977, 77693, 26854, 112586, 109161, 33208, 56051, 31431, 5486, 111800, 112984, 126101, 127091, 117952, 106824, 71005, 109519, 103792, 105933, 95221, 32977, 78434, 101832, 31195, 1811, 8, 77693, 77181, 51330, 115195, 16556, 4163, 29211, 57971, 100786, 39060, 121846, 198, 9458, 107173, 22957, 44971, 122299, 107167, 122842, 122163, 30358, 115079, 21601, 19732, 103429, 95221, 16144, 116690, 128001, 128000, 13177, 106384, 37823, 70563, 16073, 20230, 104650, 48864, 56051, 16995, 123682, 120953, 113461, 103950, 14382, 111329, 13177, 39850, 37823, 67075, 71289, 68408, 39850, 37823, 67075, 30512, 53283, 31431, 106956, 111329, 19732, 33334, 101128, 102, 64121, 77181, 124897, 32149, 95532, 106384, 37823, 70563, 16073, 104650, 48864, 15682, 60358, 8107, 123085, 55031, 60358, 16995, 5486, 53953, 95001, 29295, 51385, 16995, 102083, 100472, 114667, 55031, 102158, 48864, 104650, 48864, 61826, 103306, 126909, 30512, 43167, 107436, 61689, 1811, 66378, 20230, 68759, 119495, 108941, 16073, 44971, 26269, 22398, 16073, 29295, 101523, 227, 126235, 16556, 5486, 114654, 48634, 122060, 16144, 113009, 104650, 48864, 54926, 114754, 127181, 38641, 9174, 80673, 106384, 37823, 70563, 16073, 104650, 48864, 19732, 104655, 102532, 32977, 124563, 107188, 32149, 25197, 126989, 118765, 24273, 32977, 43240, 117714, 111769, 123253, 32149, 95532, 110924, 16556, 37271, 18904, 15682, 106384, 37823, 70563, 16073, 104650, 48864, 16144, 39850, 37823, 67075, 71289, 68408, 39850, 37823, 67075, 5486, 106384, 37823, 70563, 16073, 104650, 48864, 126130, 125683, 62004, 54926, 107707, 66378, 17599, 112, 30512, 126362, 78434, 9174, 104650, 48864, 61826, 103306, 106384, 37823, 70563, 16073, 29295, 95221, 101983, 103836, 24273, 15682, 121846, 116446, 64121, 38144, 72315, 9174, 104650, 48864, 71493, 115691, 64810, 109554, 29295, 30591, 112568, 112197, 101128, 102, 64121, 30512, 92693, 16556, 17885, 118, 61689, 106609, 13177, 104650, 48864, 102052, 67645, 33121, 120264, 106382, 11883, 29295, 32149, 117295, 102189, 103950, 91006, 198, 13177, 110968, 104743, 39177, 23538, 71289, 117232, 15682, 104405, 119607, 91006, 198, 13177, 104650, 48864, 61826, 15682, 116414, 20230, 119607, 91006, 198, 58426, 104650, 48864, 112197, 101128, 102, 64121, 5486, 107420, 20230, 50021, 111813, 39926, 64121, 107515, 32149, 95532, 115592, 64178, 116294, 78525, 77181, 92693, 16556, 104650, 48864, 50021, 111813, 114475, 47000, 16325, 1811, 125557, 48864, 109853, 95221, 101983, 103836, 105908, 101182, 24273, 5486, 112371, 104328, 33334, 95221, 117355, 20230, 48154, 50021, 111813, 72315, 9174, 126843, 15682, 106384, 37823, 70563, 16073, 104650, 48864, 16144, 39850, 37823, 67075, 605, 102159, 30512, 50338, 108323, 78434, 9174, 104650, 48864, 113115, 39926, 106382, 11883, 29295, 126574, 25197, 126989, 30512, 108623, 119188, 17792, 32977, 107991, 32149, 106046, 61689, 1811, 103350, 104983, 115132, 114740, 71289, 90962, 125913, 32131, 104612, 102083, 100472, 61826, 103130, 29504, 20230, 104650, 48864, 112990, 5486, 16, 113746, 30591, 28713, 111331, 106382, 11883, 15682, 1272, 56040, 2031, 110743, 108680, 109215, 38641, 9174, 15120, 24273, 16556, 106384, 37823, 70563, 16073, 104650, 48864, 15682, 5486, 104959, 73361, 12554, 237, 20230, 57106, 115694, 104650, 48864, 106382, 11883, 29295, 51385, 16995, 105908, 101523, 227, 48634, 38641, 1811, 106384, 37823, 70563, 16073, 104650, 48864, 16144, 106382, 11883, 29295, 51385, 16995, 114667, 15682, 17, 59739, 57903, 33541, 9174, 53953, 95001, 16144, 51385, 30813, 71289, 103424, 64209, 109904, 121374, 16144, 15973, 106, 104654, 103195, 100909, 55031, 16, 113746, 30591, 115926, 115274, 966, 56040, 1272, 110743, 19732, 5486, 127177, 29504, 20230, 57106, 115694, 106382, 11883, 30512, 605, 110743, 108680, 107792, 103664, 5486, 125845, 103268, 109518, 113314, 20230, 126128, 58942, 102204, 33541, 9174, 16325, 72661, 106384, 37823, 70563, 16073, 15682, 9080, 117851, 71289, 102456, 30926, 31640, 102083, 100472, 104654, 106382, 29295, 51385, 16995, 38641, 1811, 2636, 1029, 16144, 101198, 102750, 32131, 33710, 124981, 120770, 29295, 103664, 966, 35757, 5486, 47307, 29220, 57207, 115247, 85707, 110498, 31431, 15682, 103664, 1954, 35757, 19732, 102433, 105755, 107188, 31431, 33334, 50928, 38641, 123794, 9174, 73597, 252, 19000, 61826, 15682, 102717, 19732, 124592, 16144, 102158, 48864, 104575, 29295, 15973, 106, 104654, 16556, 5486, 50021, 114834, 29295, 111017, 31431, 40265, 38144, 102204, 33541, 1811, 73597, 252, 19000, 106382, 102052, 107141, 101275, 42506, 71289, 16, 9080, 17, 56040, 18, 18904, 16144, 102456, 106382, 32977, 96412, 17129, 115032, 115789, 51385, 16995, 114667, 16144, 16, 59739, 38641, 9174, 110526, 30046, 15682, 102159, 102452, 71289, 122770, 73597, 252, 19000, 30512, 102647, 104369, 115789, 125545, 29295, 5486, 106382, 11883, 30512, 126128, 58942, 106956, 126513, 50021, 114834, 20230, 112990, 16, 113746, 16556, 9039, 103633, 56040, 16, 110743, 108680, 106382, 11883, 30512, 107792, 103664, 54926, 105908, 88367, 38641, 9174, 127177, 29504, 117083, 103927, 103202, 106826, 25197, 71289, 122908, 39880, 102040, 115474, 102083, 100472, 73597, 252, 19000, 41007, 15682, 30591, 109709, 102647, 103854, 107515, 29295, 5486, 15973, 106, 104654, 16556, 73597, 252, 19000, 106382, 30512, 126128, 58942, 110071, 100909, 55031, 104650, 48864, 106382, 11883, 119279, 50928, 108176, 16144, 38641, 9174, 106384, 37823, 70563, 16073, 104650, 48864, 16144, 106382, 11883, 109853, 5486, 50520, 111, 106624, 53283, 31431, 106956, 24273, 15682, 88852, 30512, 48154, 126229, 72315, 9174, 16, 111299, 56965, 16144, 106384, 37823, 70563, 16073, 104650, 48864, 16144, 106382, 11883, 112987, 126910, 11571, 32943, 117735, 19732, 51385, 47884, 126128, 105262, 47260, 103223, 30512, 126362, 78434, 106609, 16, 113746, 16144, 106384, 37823, 70563, 16073, 104650, 48864, 16144, 106382, 11883, 112987, 126910, 11571, 32943, 117735, 19732, 51385, 47884, 126128, 105262, 47260, 103223, 30512, 126362, 78434, 106609, 106384, 37823, 70563, 16073, 113245, 68759, 119495, 108941, 16073, 44971, 26269, 22398, 113883, 103826, 45829, 1811, 114654, 30512, 30297, 17129, 47884, 87177, 72342, 103470, 111243, 5486, 21990, 107263, 115303, 31431, 115303, 31431, 30512, 105408, 29295, 104257, 121370, 20230, 108526, 117243, 39926, 124089, 105879, 5486, 114654, 85707, 64209, 30046, 72661, 51385, 64209, 39926, 108167, 103214, 62004, 33541, 9174, 106384, 37823, 70563, 16073, 117083, 102158, 48864, 104575, 15682, 5486, 108729, 112535, 68759, 119495, 108941, 16073, 44971, 26269, 22398, 16073, 29295, 108936, 9554, 38641, 9174, 104959, 73361, 12554, 237, 16144, 102158, 48864, 104575, 15682, 605, 56040, 868, 107707, 118953, 107610, 44971, 26269, 22398, 16073, 29295, 36668, 89753, 119627, 5486, 114654, 29295, 117864, 47884, 17620, 124403, 121894, 16556, 107141, 101275, 20230, 47000, 16995, 100481, 47884, 109335, 111108, 102800, 38641, 1811, 44915, 29295, 17620, 124403, 118733, 5486, 102494, 78459, 102832, 38248, 115, 78205, 16073, 32977, 17297, 29295, 31431, 32149, 101832, 107515, 9174, 103359, 39926, 106384, 37823, 70563, 113883, 102158, 48864, 104575, 77181, 114341, 104599, 19732, 115364, 16, 103359, 16, 16556, 107141, 101275, 29295, 103130, 104004, 103846, 5486, 17620, 124403, 109335, 114225, 20230, 105284, 99397, 125545, 118855, 22398, 70563, 38248, 255, 94550, 48634, 71289, 102404, 79785, 104309, 5486, 102159, 107707, 31634, 103192, 20230, 106608, 100204, 38144, 114654, 48864, 108710, 16144, 57326, 93488, 30512, 78698, 105262, 115789, 88367, 38641, 9174, 105408, 29295, 21990, 107263, 16144, 44971, 115882, 71289, 99695, 61398, 20230, 114146, 38144, 107141, 101275, 30512, 77413, 87447, 39926, 124089, 103846, 5486, 107141, 101275, 16556, 22324, 16995, 100481, 32149, 104028, 102083, 100472, 64209, 55487, 15682, 109215, 124897, 9174, 27929, 32977, 27929, 32977, 16, 103359, 16, 16556, 1135, 17620, 60358, 16995, 107141, 101275, 30512, 47884, 31431, 104196, 17663, 103846, 5486, 109683, 19732, 114654, 16556, 102404, 78244, 54926, 101513, 38093, 29295, 115079, 58942, 33541, 1811, 114654, 30512, 87177, 17663, 120266, 116875, 108324, 30512, 112391, 29295, 43514, 26854, 102433, 17792, 72661, 5486, 104650, 48864, 16325, 16144, 107141, 101275, 16556, 114654, 111363, 116875, 108324, 29295, 116213, 115737, 31431, 5486, 22398, 70563, 38248, 255, 94550, 48634, 29295, 110137, 102802, 126172, 16995, 19732, 117952, 106824, 61689, 9174, 114654, 85707, 64209, 30046, 29295, 114654, 123457, 45736, 109315, 116245, 103306, 5486, 106384, 37823, 70563, 16073, 104650, 48864, 15682, 33334, 125683, 62004, 38641, 9174, 104650, 48864, 16556, 68759, 119495, 108941, 16073, 44971, 26269, 22398, 16073, 114475, 105784, 39850, 37823, 67075, 9458, 8239, 114503, 15682, 11571, 33334, 125683, 62004, 26854, 104650, 48864, 61826, 32977, 48154, 126362, 198, 10682, 555, 551, 115752, 102571, 64121, 26854, 64121, 98369, 198, 106384, 37823, 70563, 16073, 15682, 104650, 48864, 61826, 103306, 124911, 116499, 45736, 17129, 103836, 115789, 57903, 5486, 102158, 48864, 104575, 29295, 121771, 98369, 57903, 33541, 9174, 104575, 9039, 121142, 103470, 5486, 47260, 61398, 16144, 104091, 104770, 32977, 119515, 105469, 38641, 9174, 27452, 116285, 104650, 48864, 61826, 103306, 5486, 33671, 120950, 47260, 61398, 30512, 102647, 104369, 105908, 125545, 9174, 27452, 116285, 5319, 36, 1341, 103359, 105226, 47260, 61398, 127303, 104984, 5486, 107141, 101275, 29295, 5319, 36, 1341, 20230, 66378, 33208, 56051, 44915, 108176, 17905, 20230, 5486, 16, 117073, 107141, 101275, 9039, 29295, 43240, 47884, 5486, 106081, 111186, 103359, 105226, 20230, 120766, 54926, 9080, 104680, 38641, 9174, 103359, 39926, 5486, 103621, 122981, 71289, 112673, 102472, 123160, 44971, 26269, 22398, 16073, 114475, 76622, 110071, 33334, 76622, 16995, 22957, 104650, 48864, 5486, 114181, 101426, 9458, 109739, 102802, 32977, 57326, 93488, 20230, 103214, 64121, 104526, 17129, 104028, 39880, 29220, 103906, 91482, 103906, 47260, 61398, 15682, 5486, 71493, 37823, 123283, 32131, 91062, 29295, 108901, 26854, 31431, 33541, 9174, 35424, 25580, 15682, 114654, 48864, 108710, 5486, 35424, 74482, 15682, 33334, 76622, 16995, 51330, 44971, 26269, 22398, 16073, 71289, 124807, 91482, 94550, 33014, 111186, 104309, 5486, 53508, 231, 104195, 19732, 39880, 29220, 103906, 91482, 103906, 29295, 103268, 17620, 101860, 59739, 108176, 115789, 57903, 33541, 9174, 51330, 104466, 106384, 37823, 70563, 113883, 102158, 48864, 104575, 102052, 107141, 101275, 37026, 33014, 16144, 104091, 104770, 71289, 39880, 29220, 103906, 91482, 103906, 33014, 111186, 102083, 100472, 57326, 93488, 32977, 43240, 9039, 57903, 5486, 104650, 48864, 16144, 30832, 112535, 40862, 100472, 104575, 29295, 91774, 59739, 107277, 126172, 16995, 38641, 9174, 30832, 112535, 114146, 38144, 104575, 30512, 102647, 104369, 19732, 102494, 78459, 102832, 38248, 115, 78205, 16073, 29295, 17297, 29295, 112586, 47884, 47884, 5486, 104650, 48864, 16144, 13153, 28873, 32977, 50928, 126172, 115737, 31431, 33541, 9174, 106384, 37823, 70563, 16073, 15682, 102433, 17792, 20230, 126909, 16144, 104650, 48864, 61826, 103195, 100909, 55031, 5486, 102158, 48864, 104575, 105352, 102433, 114754, 127181, 38641, 9174, 106384, 37823, 70563, 16073, 102052, 102433, 17792, 106613, 112167, 16144, 102158, 48864, 104575, 125001, 47884, 59739, 32149, 57903, 5486, 21990, 107263, 30512, 102433, 17792, 20230, 119379, 39926, 119890, 43167, 103792, 104575, 32977, 101182, 108680, 38641, 118855, 125559, 103087, 22656, 16144, 102158, 48864, 104575, 72661, 123085, 17792, 19732, 20834, 38093, 30297, 105908, 43240, 104680, 57903, 33541, 9174, 102433, 17792, 70141, 76622, 104575, 30512, 102647, 104369, 19732, 43511, 125525, 98915, 114754, 108608, 101513, 38093, 15682, 83747, 100604, 119627, 5486, 100927, 103234, 15682, 102433, 102158, 5486, 40053, 126202, 105335, 26269, 52591, 105352, 102433, 17792, 30512, 9039, 13372, 86867, 54926, 104309, 5486, 51385, 64209, 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 ]
[ 128000, 2, 112498, 106496, 119049, 101921, 104, 16556, 33014, 30358, 29295, 115079, 105262, 32149, 198, 40452, 15308, 226, 113598, 101559, 16144, 5730, 2259, 38641, 1811, 33563, 105298, 64467, 106839, 16144, 103359, 47523, 30046, 16556, 5486, 45829, 106496, 119049, 101921, 104, 16144, 110577, 104198, 114172, 122291, 24273, 29295, 104157, 79721, 1811, 45829, 106496, 119049, 101921, 104, 15682, 120268, 30813, 26854, 102944, 32977, 96412, 62004, 104533, 5486, 966, 97049, 71689, 16144, 111482, 16144, 508, 12, 966, 113127, 20230, 64121, 110071, 102131, 38641, 1811, 91763, 106358, 126036, 111017, 40862, 29295, 126574, 104466, 112391, 79721, 122262, 32977, 26854, 111571, 103397, 15682, 5486, 9953, 106613, 33857, 29295, 43240, 47884, 109020, 100909, 19732, 9953, 106613, 108631, 38641, 109807, 43511, 20230, 9953, 106613, 116749, 16144, 20834, 104473, 5486, 115519, 108631, 5486, 118430, 126017, 10110, 20251, 25197, 44971, 29295, 60358, 16995, 7705, 104309, 115991, 33541, 1811, 111571, 103397, 15682, 108608, 116245, 19732, 116690, 115991, 33541, 9174, 103359, 47523, 112919, 24273, 55031, 5486, 33563, 105298, 64467, 106839, 16144, 103359, 47523, 110276, 104468, 113351, 116310, 29295, 119448, 16995, 55031, 36785, 119150, 29295, 5486, 45829, 106496, 119049, 101921, 104, 19732, 33014, 30358, 115079, 21601, 29295, 116690, 103792, 104865, 19732, 104655, 32149, 33121, 79721, 1811, 119869, 15682, 104405, 108995, 26854, 16449, 106046, 100472, 105879, 17620, 124403, 19732, 108044, 107800, 16144, 119627, 5486, 95221, 110276, 105879, 58426, 75267, 16556, 104873, 115694, 64121, 79721, 1811, 112990, 13177, 101921, 104, 103468, 45829, 106496, 29295, 74245, 67669, 868, 6358, 108680, 101983, 104533, 33334, 113351, 30512, 110408, 15024, 109415, 30369, 72342, 117201, 5486, 17297, 113351, 34048, 29295, 104735, 101, 33503, 102189, 104466, 91774, 105262, 105908, 57903, 33541, 115204, 102677, 61304, 107121, 104088, 126268, 79721, 1811, 868, 6358, 15682, 17129, 30591, 17129, 30591, 119448, 16995, 26854, 106046, 108064, 59739, 13177, 16995, 17129, 112825, 110904, 20230, 104873, 103854, 127567, 114387, 61304, 107121, 115991, 79721, 29295, 5486, 50520, 111, 102800, 109335, 17620, 124403, 103846, 101682, 120761, 39177, 7, 111800, 120761, 39177, 8, 20230, 114140, 126130, 124730, 78434, 66383, 108044, 58942, 79721, 9174, 87177, 30512, 104655, 47884, 16325, 77181, 5486, 56965, 102456, 108710, 101557, 96, 71289, 117401, 33857, 29295, 83747, 100604, 105908, 33014, 30358, 115079, 21601, 16144, 113385, 19732, 106596, 29295, 106084, 28713, 103846, 115515, 18904, 16144, 33014, 30358, 115079, 21601, 15682, 104654, 108710, 101557, 96, 16144, 125396, 29295, 108008, 20230, 126574, 106046, 61689, 119520, 5486, 108895, 56051, 116436, 111694, 29295, 116690, 103792, 115789, 101182, 104865, 26854, 19732, 53508, 231, 104195, 115717, 79721, 97999, 72661, 5486, 116436, 111694, 29295, 116690, 107113, 33503, 127177, 111800, 112984, 112603, 32977, 77693, 26854, 112586, 109161, 33208, 56051, 31431, 5486, 111800, 112984, 126101, 127091, 117952, 106824, 71005, 109519, 103792, 105933, 95221, 32977, 78434, 101832, 31195, 1811, 8, 77693, 77181, 51330, 115195, 16556, 4163, 29211, 57971, 100786, 39060, 121846, 198, 9458, 107173, 22957, 44971, 122299, 107167, 122842, 122163, 30358, 115079, 21601, 19732, 103429, 95221, 16144, 116690, 128001, 128000, 13177, 106384, 37823, 70563, 16073, 20230, 104650, 48864, 56051, 16995, 123682, 120953, 113461, 103950, 14382, 111329, 13177, 39850, 37823, 67075, 71289, 68408, 39850, 37823, 67075, 30512, 53283, 31431, 106956, 111329, 19732, 33334, 101128, 102, 64121, 77181, 124897, 32149, 95532, 106384, 37823, 70563, 16073, 104650, 48864, 15682, 60358, 8107, 123085, 55031, 60358, 16995, 5486, 53953, 95001, 29295, 51385, 16995, 102083, 100472, 114667, 55031, 102158, 48864, 104650, 48864, 61826, 103306, 126909, 30512, 43167, 107436, 61689, 1811, 66378, 20230, 68759, 119495, 108941, 16073, 44971, 26269, 22398, 16073, 29295, 101523, 227, 126235, 16556, 5486, 114654, 48634, 122060, 16144, 113009, 104650, 48864, 54926, 114754, 127181, 38641, 9174, 80673, 106384, 37823, 70563, 16073, 104650, 48864, 19732, 104655, 102532, 32977, 124563, 107188, 32149, 25197, 126989, 118765, 24273, 32977, 43240, 117714, 111769, 123253, 32149, 95532, 110924, 16556, 37271, 18904, 15682, 106384, 37823, 70563, 16073, 104650, 48864, 16144, 39850, 37823, 67075, 71289, 68408, 39850, 37823, 67075, 5486, 106384, 37823, 70563, 16073, 104650, 48864, 126130, 125683, 62004, 54926, 107707, 66378, 17599, 112, 30512, 126362, 78434, 9174, 104650, 48864, 61826, 103306, 106384, 37823, 70563, 16073, 29295, 95221, 101983, 103836, 24273, 15682, 121846, 116446, 64121, 38144, 72315, 9174, 104650, 48864, 71493, 115691, 64810, 109554, 29295, 30591, 112568, 112197, 101128, 102, 64121, 30512, 92693, 16556, 17885, 118, 61689, 106609, 13177, 104650, 48864, 102052, 67645, 33121, 120264, 106382, 11883, 29295, 32149, 117295, 102189, 103950, 91006, 198, 13177, 110968, 104743, 39177, 23538, 71289, 117232, 15682, 104405, 119607, 91006, 198, 13177, 104650, 48864, 61826, 15682, 116414, 20230, 119607, 91006, 198, 58426, 104650, 48864, 112197, 101128, 102, 64121, 5486, 107420, 20230, 50021, 111813, 39926, 64121, 107515, 32149, 95532, 115592, 64178, 116294, 78525, 77181, 92693, 16556, 104650, 48864, 50021, 111813, 114475, 47000, 16325, 1811, 125557, 48864, 109853, 95221, 101983, 103836, 105908, 101182, 24273, 5486, 112371, 104328, 33334, 95221, 117355, 20230, 48154, 50021, 111813, 72315, 9174, 126843, 15682, 106384, 37823, 70563, 16073, 104650, 48864, 16144, 39850, 37823, 67075, 605, 102159, 30512, 50338, 108323, 78434, 9174, 104650, 48864, 113115, 39926, 106382, 11883, 29295, 126574, 25197, 126989, 30512, 108623, 119188, 17792, 32977, 107991, 32149, 106046, 61689, 1811, 103350, 104983, 115132, 114740, 71289, 90962, 125913, 32131, 104612, 102083, 100472, 61826, 103130, 29504, 20230, 104650, 48864, 112990, 5486, 16, 113746, 30591, 28713, 111331, 106382, 11883, 15682, 1272, 56040, 2031, 110743, 108680, 109215, 38641, 9174, 15120, 24273, 16556, 106384, 37823, 70563, 16073, 104650, 48864, 15682, 5486, 104959, 73361, 12554, 237, 20230, 57106, 115694, 104650, 48864, 106382, 11883, 29295, 51385, 16995, 105908, 101523, 227, 48634, 38641, 1811, 106384, 37823, 70563, 16073, 104650, 48864, 16144, 106382, 11883, 29295, 51385, 16995, 114667, 15682, 17, 59739, 57903, 33541, 9174, 53953, 95001, 16144, 51385, 30813, 71289, 103424, 64209, 109904, 121374, 16144, 15973, 106, 104654, 103195, 100909, 55031, 16, 113746, 30591, 115926, 115274, 966, 56040, 1272, 110743, 19732, 5486, 127177, 29504, 20230, 57106, 115694, 106382, 11883, 30512, 605, 110743, 108680, 107792, 103664, 5486, 125845, 103268, 109518, 113314, 20230, 126128, 58942, 102204, 33541, 9174, 16325, 72661, 106384, 37823, 70563, 16073, 15682, 9080, 117851, 71289, 102456, 30926, 31640, 102083, 100472, 104654, 106382, 29295, 51385, 16995, 38641, 1811, 2636, 1029, 16144, 101198, 102750, 32131, 33710, 124981, 120770, 29295, 103664, 966, 35757, 5486, 47307, 29220, 57207, 115247, 85707, 110498, 31431, 15682, 103664, 1954, 35757, 19732, 102433, 105755, 107188, 31431, 33334, 50928, 38641, 123794, 9174, 73597, 252, 19000, 61826, 15682, 102717, 19732, 124592, 16144, 102158, 48864, 104575, 29295, 15973, 106, 104654, 16556, 5486, 50021, 114834, 29295, 111017, 31431, 40265, 38144, 102204, 33541, 1811, 73597, 252, 19000, 106382, 102052, 107141, 101275, 42506, 71289, 16, 9080, 17, 56040, 18, 18904, 16144, 102456, 106382, 32977, 96412, 17129, 115032, 115789, 51385, 16995, 114667, 16144, 16, 59739, 38641, 9174, 110526, 30046, 15682, 102159, 102452, 71289, 122770, 73597, 252, 19000, 30512, 102647, 104369, 115789, 125545, 29295, 5486, 106382, 11883, 30512, 126128, 58942, 106956, 126513, 50021, 114834, 20230, 112990, 16, 113746, 16556, 9039, 103633, 56040, 16, 110743, 108680, 106382, 11883, 30512, 107792, 103664, 54926, 105908, 88367, 38641, 9174, 127177, 29504, 117083, 103927, 103202, 106826, 25197, 71289, 122908, 39880, 102040, 115474, 102083, 100472, 73597, 252, 19000, 41007, 15682, 30591, 109709, 102647, 103854, 107515, 29295, 5486, 15973, 106, 104654, 16556, 73597, 252, 19000, 106382, 30512, 126128, 58942, 110071, 100909, 55031, 104650, 48864, 106382, 11883, 119279, 50928, 108176, 16144, 38641, 9174, 106384, 37823, 70563, 16073, 104650, 48864, 16144, 106382, 11883, 109853, 5486, 50520, 111, 106624, 53283, 31431, 106956, 24273, 15682, 88852, 30512, 48154, 126229, 72315, 9174, 16, 111299, 56965, 16144, 106384, 37823, 70563, 16073, 104650, 48864, 16144, 106382, 11883, 112987, 126910, 11571, 32943, 117735, 19732, 51385, 47884, 126128, 105262, 47260, 103223, 30512, 126362, 78434, 106609, 16, 113746, 16144, 106384, 37823, 70563, 16073, 104650, 48864, 16144, 106382, 11883, 112987, 126910, 11571, 32943, 117735, 19732, 51385, 47884, 126128, 105262, 47260, 103223, 30512, 126362, 78434, 106609, 106384, 37823, 70563, 16073, 113245, 68759, 119495, 108941, 16073, 44971, 26269, 22398, 113883, 103826, 45829, 1811, 114654, 30512, 30297, 17129, 47884, 87177, 72342, 103470, 111243, 5486, 21990, 107263, 115303, 31431, 115303, 31431, 30512, 105408, 29295, 104257, 121370, 20230, 108526, 117243, 39926, 124089, 105879, 5486, 114654, 85707, 64209, 30046, 72661, 51385, 64209, 39926, 108167, 103214, 62004, 33541, 9174, 106384, 37823, 70563, 16073, 117083, 102158, 48864, 104575, 15682, 5486, 108729, 112535, 68759, 119495, 108941, 16073, 44971, 26269, 22398, 16073, 29295, 108936, 9554, 38641, 9174, 104959, 73361, 12554, 237, 16144, 102158, 48864, 104575, 15682, 605, 56040, 868, 107707, 118953, 107610, 44971, 26269, 22398, 16073, 29295, 36668, 89753, 119627, 5486, 114654, 29295, 117864, 47884, 17620, 124403, 121894, 16556, 107141, 101275, 20230, 47000, 16995, 100481, 47884, 109335, 111108, 102800, 38641, 1811, 44915, 29295, 17620, 124403, 118733, 5486, 102494, 78459, 102832, 38248, 115, 78205, 16073, 32977, 17297, 29295, 31431, 32149, 101832, 107515, 9174, 103359, 39926, 106384, 37823, 70563, 113883, 102158, 48864, 104575, 77181, 114341, 104599, 19732, 115364, 16, 103359, 16, 16556, 107141, 101275, 29295, 103130, 104004, 103846, 5486, 17620, 124403, 109335, 114225, 20230, 105284, 99397, 125545, 118855, 22398, 70563, 38248, 255, 94550, 48634, 71289, 102404, 79785, 104309, 5486, 102159, 107707, 31634, 103192, 20230, 106608, 100204, 38144, 114654, 48864, 108710, 16144, 57326, 93488, 30512, 78698, 105262, 115789, 88367, 38641, 9174, 105408, 29295, 21990, 107263, 16144, 44971, 115882, 71289, 99695, 61398, 20230, 114146, 38144, 107141, 101275, 30512, 77413, 87447, 39926, 124089, 103846, 5486, 107141, 101275, 16556, 22324, 16995, 100481, 32149, 104028, 102083, 100472, 64209, 55487, 15682, 109215, 124897, 9174, 27929, 32977, 27929, 32977, 16, 103359, 16, 16556, 1135, 17620, 60358, 16995, 107141, 101275, 30512, 47884, 31431, 104196, 17663, 103846, 5486, 109683, 19732, 114654, 16556, 102404, 78244, 54926, 101513, 38093, 29295, 115079, 58942, 33541, 1811, 114654, 30512, 87177, 17663, 120266, 116875, 108324, 30512, 112391, 29295, 43514, 26854, 102433, 17792, 72661, 5486, 104650, 48864, 16325, 16144, 107141, 101275, 16556, 114654, 111363, 116875, 108324, 29295, 116213, 115737, 31431, 5486, 22398, 70563, 38248, 255, 94550, 48634, 29295, 110137, 102802, 126172, 16995, 19732, 117952, 106824, 61689, 9174, 114654, 85707, 64209, 30046, 29295, 114654, 123457, 45736, 109315, 116245, 103306, 5486, 106384, 37823, 70563, 16073, 104650, 48864, 15682, 33334, 125683, 62004, 38641, 9174, 104650, 48864, 16556, 68759, 119495, 108941, 16073, 44971, 26269, 22398, 16073, 114475, 105784, 39850, 37823, 67075, 9458, 8239, 114503, 15682, 11571, 33334, 125683, 62004, 26854, 104650, 48864, 61826, 32977, 48154, 126362, 198, 10682, 555, 551, 115752, 102571, 64121, 26854, 64121, 98369, 198, 106384, 37823, 70563, 16073, 15682, 104650, 48864, 61826, 103306, 124911, 116499, 45736, 17129, 103836, 115789, 57903, 5486, 102158, 48864, 104575, 29295, 121771, 98369, 57903, 33541, 9174, 104575, 9039, 121142, 103470, 5486, 47260, 61398, 16144, 104091, 104770, 32977, 119515, 105469, 38641, 9174, 27452, 116285, 104650, 48864, 61826, 103306, 5486, 33671, 120950, 47260, 61398, 30512, 102647, 104369, 105908, 125545, 9174, 27452, 116285, 5319, 36, 1341, 103359, 105226, 47260, 61398, 127303, 104984, 5486, 107141, 101275, 29295, 5319, 36, 1341, 20230, 66378, 33208, 56051, 44915, 108176, 17905, 20230, 5486, 16, 117073, 107141, 101275, 9039, 29295, 43240, 47884, 5486, 106081, 111186, 103359, 105226, 20230, 120766, 54926, 9080, 104680, 38641, 9174, 103359, 39926, 5486, 103621, 122981, 71289, 112673, 102472, 123160, 44971, 26269, 22398, 16073, 114475, 76622, 110071, 33334, 76622, 16995, 22957, 104650, 48864, 5486, 114181, 101426, 9458, 109739, 102802, 32977, 57326, 93488, 20230, 103214, 64121, 104526, 17129, 104028, 39880, 29220, 103906, 91482, 103906, 47260, 61398, 15682, 5486, 71493, 37823, 123283, 32131, 91062, 29295, 108901, 26854, 31431, 33541, 9174, 35424, 25580, 15682, 114654, 48864, 108710, 5486, 35424, 74482, 15682, 33334, 76622, 16995, 51330, 44971, 26269, 22398, 16073, 71289, 124807, 91482, 94550, 33014, 111186, 104309, 5486, 53508, 231, 104195, 19732, 39880, 29220, 103906, 91482, 103906, 29295, 103268, 17620, 101860, 59739, 108176, 115789, 57903, 33541, 9174, 51330, 104466, 106384, 37823, 70563, 113883, 102158, 48864, 104575, 102052, 107141, 101275, 37026, 33014, 16144, 104091, 104770, 71289, 39880, 29220, 103906, 91482, 103906, 33014, 111186, 102083, 100472, 57326, 93488, 32977, 43240, 9039, 57903, 5486, 104650, 48864, 16144, 30832, 112535, 40862, 100472, 104575, 29295, 91774, 59739, 107277, 126172, 16995, 38641, 9174, 30832, 112535, 114146, 38144, 104575, 30512, 102647, 104369, 19732, 102494, 78459, 102832, 38248, 115, 78205, 16073, 29295, 17297, 29295, 112586, 47884, 47884, 5486, 104650, 48864, 16144, 13153, 28873, 32977, 50928, 126172, 115737, 31431, 33541, 9174, 106384, 37823, 70563, 16073, 15682, 102433, 17792, 20230, 126909, 16144, 104650, 48864, 61826, 103195, 100909, 55031, 5486, 102158, 48864, 104575, 105352, 102433, 114754, 127181, 38641, 9174, 106384, 37823, 70563, 16073, 102052, 102433, 17792, 106613, 112167, 16144, 102158, 48864, 104575, 125001, 47884, 59739, 32149, 57903, 5486, 21990, 107263, 30512, 102433, 17792, 20230, 119379, 39926, 119890, 43167, 103792, 104575, 32977, 101182, 108680, 38641, 118855, 125559, 103087, 22656, 16144, 102158, 48864, 104575, 72661, 123085, 17792, 19732, 20834, 38093, 30297, 105908, 43240, 104680, 57903, 33541, 9174, 102433, 17792, 70141, 76622, 104575, 30512, 102647, 104369, 19732, 43511, 125525, 98915, 114754, 108608, 101513, 38093, 15682, 83747, 100604, 119627, 5486, 100927, 103234, 15682, 102433, 102158, 5486, 40053, 126202, 105335, 26269, 52591, 105352, 102433, 17792, 30512, 9039, 13372, 86867, 54926, 104309, 5486, 51385, 64209, 39926 ]
[ 53508, 231, 104195, 108608, 117501, 29295, 50928, 102204, 33541, 9174, 66378, 20230, 85707, 107436, 16144, 125559, 104650, 48864, 77181, 112690, 29295, 33035, 100204, 100604, 5486, 112361, 106581, 71289, 108710, 101557, 96, 16556, 113841, 108608, 114754, 16995, 100604, 117501, 15682, 64209, 104398, 16995, 102944, 38641, 1811, 104575, 20230, 102433, 114754, 43240, 47884, 38144, 51385, 64209, 108608, 115789, 106384, 37823, 70563, 16073, 104650, 48864, 16144, 101523, 227, 48634, 125651, 9174, 112798, 103892, 16556, 33334, 108044, 58942, 56051, 121640, 5486, 106384, 37823, 70563, 16073, 104650, 48864, 15682, 15973, 106, 104654, 123410, 104575, 29295, 102717, 19732, 124592, 38641, 1811, 122270, 17, 56040, 18, 102456, 114308, 16144, 15973, 106, 29295, 127181, 17905, 20230, 5486, 108914, 102754, 107, 71289, 19012, 225, 21418, 104309, 96356, 16144, 18904, 111331, 109335, 105335, 26269, 52591, 20230, 49988, 122101, 105908, 125545, 9174, 125559, 16556, 104654, 21105, 103, 29295, 33503, 53508, 231, 104195, 54926, 104468, 5486, 101067, 66201, 71689, 20230, 27384, 104721, 38641, 9174, 80673, 106384, 37823, 70563, 113883, 102158, 48864, 104575, 127303, 104984, 102456, 30926, 19732, 112825, 87844, 109904, 96356, 16144, 18904, 111331, 33334, 101083, 87177, 114308, 16144, 15973, 106, 104654, 30512, 102647, 103854, 30369, 103846, 5486, 105994, 16556, 104654, 30512, 64531, 105262, 109215, 15682, 124897, 1811, 46729, 30926, 16144, 46034, 56965, 29295, 66870, 105784, 17620, 5486, 53508, 231, 104195, 20230, 120766, 108608, 117501, 38641, 9174, 102158, 48864, 104575, 113468, 15682, 102433, 102456, 30512, 104908, 39926, 124089, 5486, 102456, 30926, 119279, 16995, 102800, 19732, 107624, 106053, 16144, 104575, 32977, 57903, 5486, 103868, 32977, 109606, 124897, 1811, 33014, 104873, 30512, 103553, 102, 17663, 125396, 32977, 103167, 47884, 5486, 51385, 64209, 38641, 9174, 106384, 37823, 70563, 16073, 15682, 102433, 19732, 112361, 39880, 125581, 12554, 237, 106644, 58942, 20230, 5486, 127284, 20230, 77693, 108680, 82973, 29295, 32149, 107277, 107515, 1811, 52591, 119744, 82973, 15682, 74245, 23039, 102924, 124905, 116285, 19, 56040, 20, 82973, 19732, 106649, 16995, 38641, 9174, 104959, 73361, 12554, 237, 15682, 124349, 32977, 110596, 16995, 100909, 55031, 52591, 119744, 121142, 605, 56040, 868, 82973, 19732, 101544, 47884, 5486, 122270, 114743, 106306, 31640, 32977, 605, 110743, 72404, 58942, 19732, 45736, 115737, 31431, 126172, 16995, 38641, 1811, 127284, 82973, 19732, 106382, 11883, 28190, 16144, 110176, 24273, 16556, 109972, 106529, 29295, 119448, 47884, 5486, 110968, 104743, 112649, 117295, 82973, 19732, 42506, 35330, 30512, 114485, 33503, 17663, 104468, 26854, 107188, 32149, 111108, 102800, 15120, 28190, 32977, 57903, 33541, 9174, 106384, 37823, 70563, 16073, 15682, 102433, 117758, 124349, 29295, 60358, 16995, 17620, 5486, 114743, 106306, 31640, 32977, 104959, 73361, 12554, 237, 105755, 126128, 58942, 102204, 33541, 1811, 39177, 23538, 71289, 114743, 108695, 30512, 30297, 17129, 47884, 102647, 103854, 81219, 5486, 20, 110743, 108680, 16556, 109198, 17701, 54926, 115789, 88367, 38641, 9174, 124349, 29295, 60358, 16995, 104468, 127284, 82973, 121142, 103470, 5486, 42506, 35330, 28190, 72661, 39850, 37823, 67075, 107407, 16144, 38641, 9174, 104650, 48864, 61826, 113468, 15682, 110968, 104743, 112772, 91482, 103988, 102782, 109311, 29295, 109215, 26854, 17905, 20230, 5486, 109242, 9039, 16144, 102181, 104770, 118664, 29295, 32018, 62004, 102204, 33541, 9174, 103359, 39926, 106384, 37823, 70563, 16073, 15682, 5486, 966, 9080, 39442, 112624, 16144, 104650, 48864, 127303, 104984, 30926, 123628, 91482, 103988, 102782, 109311, 29295, 109215, 124897, 9174, 117232, 20230, 48249, 121140, 81258, 48864, 110008, 31540, 102181, 10110, 1242, 47, 120732, 102782, 109311, 5486, 17, 113746, 30512, 104087, 58942, 104533, 48915, 29504, 17792, 125104, 110322, 10110, 1741, 49, 22197, 123218, 120732, 125104, 29295, 109215, 119627, 5486, 46034, 106307, 50834, 110214, 16144, 114181, 101426, 91482, 103988, 16556, 17701, 29504, 125545, 9174, 53900, 116155, 16144, 46034, 106307, 50834, 113468, 966, 9080, 30512, 72404, 107290, 73597, 252, 19000, 54926, 115789, 88367, 26854, 17905, 5486, 91482, 103988, 16144, 109337, 101544, 15682, 102158, 48864, 104575, 20230, 103963, 117943, 54926, 115789, 88367, 38641, 9174, 91482, 103988, 46034, 106307, 50834, 29295, 77693, 108680, 109215, 100604, 17905, 20230, 102782, 109311, 37026, 33014, 32977, 112825, 110904, 26854, 103846, 5486, 104650, 48864, 112772, 107253, 104874, 112649, 117295, 82973, 15682, 83747, 100604, 123253, 9174, 112798, 103892, 16556, 5486, 106384, 37823, 70563, 113883, 102158, 48864, 104575, 15682, 68759, 119495, 108941, 16073, 44971, 26269, 22398, 16073, 29295, 104356, 118816, 33334, 108044, 58942, 121256, 1811, 68759, 119495, 108941, 16073, 106644, 58942, 20230, 87177, 17663, 101513, 38093, 29295, 115079, 105262, 100909, 55031, 5486, 22398, 70563, 38248, 255, 94550, 48634, 29295, 110137, 102802, 126172, 16995, 117501, 72661, 57903, 33541, 9174, 53900, 106384, 37823, 70563, 113883, 102158, 48864, 104575, 16144, 107141, 101275, 15682, 13177, 22398, 70563, 38248, 255, 94550, 59712, 102404, 79785, 59712, 102803, 103906, 94550, 10646, 104309, 5486, 118552, 48154, 19732, 20230, 17620, 76622, 124195, 61689, 1811, 104575, 71289, 47260, 61398, 105352, 105755, 33541, 29295, 5486, 110526, 16144, 107141, 101275, 30512, 102647, 103854, 81219, 66378, 23187, 16144, 118552, 30512, 43167, 105363, 20230, 110137, 81219, 17663, 115789, 88367, 38641, 9174, 68759, 119495, 108941, 16073, 44971, 26269, 22398, 16073, 103195, 100909, 55031, 5486, 102404, 79785, 19732, 22398, 70563, 38248, 255, 94550, 15682, 66378, 20230, 110137, 81219, 15024, 126172, 16995, 38641, 1811, 83947, 38093, 87177, 20230, 107202, 46034, 37689, 109375, 107407, 17792, 125030, 76947, 15682, 5486, 101545, 44309, 54926, 126521, 101513, 38093, 121711, 102131, 125651, 9174, 106384, 37823, 70563, 16073, 102052, 64810, 52884, 102687, 71289, 99959, 66953, 90962, 102083, 100472, 37823, 118091, 84477, 30590, 32977, 57903, 5486, 104650, 48864, 61826, 103306, 121507, 54926, 115789, 88367, 38641, 1811, 56235, 16144, 101182, 37823, 118091, 84477, 30590, 20230, 104650, 48864, 112990, 50211, 9080, 15682, 25359, 17620, 20230, 53508, 231, 104195, 39926, 5486, 105677, 9080, 15682, 114284, 121381, 31431, 109739, 104369, 115789, 125545, 9174, 76739, 104612, 113468, 15682, 56235, 71289, 58911, 107407, 103846, 5486, 103223, 39880, 38248, 226, 39880, 29220, 103906, 91482, 103906, 32977, 43240, 9039, 87447, 113497, 116216, 61689, 9174, 27452, 116285, 64810, 52884, 102687, 77181, 76428, 100560, 247, 76739, 103988, 39850, 19732, 126419, 20230, 126503, 104699, 103223, 39880, 38248, 226, 109242, 9039, 16144, 102687, 104680, 30512, 116348, 30369, 111090, 116670, 103927, 26269, 70563, 94550, 104309, 123085, 77181, 62004, 101860, 114420, 106613, 111186, 123410, 115789, 88367, 38641, 9174, 56235, 107407, 106644, 58942, 20230, 120523, 95221, 17620, 32977, 103868, 78183, 105262, 112973, 106384, 37823, 70563, 113883, 101523, 227, 48634, 38641, 1811, 103350, 104983, 20230, 50211, 9080, 15682, 114654, 20230, 120766, 39926, 105677, 9080, 15682, 107691, 16995, 53953, 71289, 39880, 29220, 103906, 91482, 103906, 30512, 126407, 104004, 5486, 102158, 48864, 104575, 30512, 124305, 101275, 56051, 123090, 9039, 9080, 114181, 101426, 39926, 55031, 112454, 30369, 17792, 32977, 61689, 9174, 106222, 107707, 106649, 23538, 104650, 48864, 104309, 5486, 37823, 123646, 116219, 32977, 114196, 101832, 100934, 107803, 20230, 106384, 37823, 70563, 16073, 15682, 32335, 109431, 123253, 9174, 33334, 125683, 62004, 16144, 114181, 101426, 124011, 67075, 15682, 88852, 16556, 126362, 127145, 1811, 95221, 108176, 24273, 15682, 121846, 116446, 64121, 38144, 72315, 9174, 106384, 37823, 70563, 16073, 112197, 125683, 62004, 114181, 101426, 124011, 67075, 605, 102647, 198, 110382, 103296, 33334, 108044, 58942, 56051, 104466, 106384, 37823, 70563, 16073, 15682, 102456, 30926, 114308, 16144, 15973, 106, 104654, 16556, 53508, 231, 104195, 20230, 120766, 108608, 5486, 114181, 101426, 65854, 70141, 76622, 16144, 103223, 122776, 104309, 32977, 105843, 103350, 103792, 100909, 55031, 5486, 106649, 23538, 104650, 48864, 121254, 119188, 29504, 38641, 9174, 9039, 111299, 56965, 71289, 16, 113746, 16144, 106649, 23538, 104650, 48864, 19732, 104655, 126145, 5486, 114654, 48634, 29295, 110137, 102802, 20230, 47884, 16995, 25197, 126989, 107407, 32149, 110241, 33121, 107515, 119520, 73597, 252, 19000, 16325, 16144, 82973, 30512, 43167, 105363, 20230, 114654, 48864, 108710, 20230, 111017, 47884, 118733, 5486, 106649, 117232, 72661, 114654, 48634, 122060, 16144, 125396, 15682, 57903, 33541, 9174, 66378, 20230, 102456, 30926, 71289, 108914, 102754, 107, 114308, 16144, 106384, 37823, 70563, 113883, 102158, 48864, 104575, 15682, 5486, 53508, 231, 104195, 20230, 120766, 15024, 126172, 16995, 117501, 38641, 1811, 104650, 48864, 16325, 16144, 82973, 30512, 53508, 231, 104195, 20230, 30591, 125655, 118733, 5486, 16, 113746, 23897, 123727, 104650, 48864, 72661, 114654, 48634, 122060, 15682, 125494, 125545, 9174, 106384, 37823, 70563, 16073, 15682, 106649, 23538, 104650, 48864, 72661, 104650, 48864, 16144, 113173, 30512, 104067, 13153, 15024, 126172, 16995, 117501, 103195, 100909, 55031, 5486, 16, 111299, 56965, 56040, 16, 113746, 108680, 16144, 106649, 23538, 104650, 48864, 72661, 114392, 112624, 83601, 104, 125545, 9174, 39850, 37823, 67075, 29295, 43240, 9039, 101182, 106384, 37823, 70563, 16073, 104650, 48864, 119627, 5486, 32977, 43514, 85791, 25827, 68408, 39850, 37823, 67075, 32977, 57903, 33541, 9174, 113954, 39926, 33334, 105898, 16995, 68408, 39850, 37823, 67075, 605, 102159, 30512, 126362, 78434, 101832, 9174, 61826, 108680, 106384, 37823, 70563, 16073, 104650, 48864, 15682, 68759, 119495, 108941, 16073, 44971, 26269, 22398, 16073, 29295, 36668, 89753, 16144, 103846, 5486, 22398, 70563, 38248, 255, 94550, 71289, 102404, 79785, 29295, 110137, 102802, 126172, 16995, 19732, 33334, 108044, 58942, 121256, 198, 58426, 17620, 102803, 103906, 94550, 71289, 37823, 114228, 57183, 94550, 16144, 107141, 101275, 15682, 83747, 100604, 115789, 57903, 5486, 66378, 20230, 114654, 85707, 64209, 30046, 15682, 104650, 48864, 126867, 102181, 47884, 9458, 98499, 104004, 30512, 112258, 249, 105262, 38574, 106090, 103296, 28037, 104067, 21105, 103, 16995, 115789, 57903, 33541, 1811, 106649, 23538, 104650, 48864, 121142, 19, 118552, 122617, 30512, 110137, 81219, 17663, 104468, 37656, 74245, 111108, 102800, 38641, 9174, 66378, 20230, 5319, 36, 1341, 114475, 105784, 5486, 102667, 101682, 111186, 30512, 30832, 64467, 17663, 107803, 5486, 57933, 71634, 15682, 22398, 70563, 38248, 255, 94550, 103378, 77181, 124897, 109807, 126513, 108936, 114654, 44971, 115882, 30512, 113954, 56051, 17905, 16556, 106384, 37823, 70563, 16073, 104650, 48864, 15024, 5486, 106081, 111186, 103359, 105226, 20230, 108167, 103214, 109315, 47260, 61398, 30512, 102647, 104369, 109215, 115991, 33541, 9174, 108936, 109904, 102158, 48864, 104575, 77181, 19, 118552, 122617, 30512, 110137, 81219, 17663, 104468, 111108, 102800, 17905, 20230, 5486, 114654, 85707, 64209, 30046, 105110, 126738, 115143, 58426, 102040, 65575, 33710, 15682, 115442, 31431, 33541, 9174, 58426, 126513, 33671, 120950, 103359, 105226, 30512, 113727, 17129, 109954, 9174, 114654, 29295, 23187, 100815, 54926, 102052, 9039, 113746, 16144, 82973, 29295, 109215, 38641, 1811, 108608, 103378, 101544, 47884, 104650, 48864, 54926, 32149, 120953, 120837, 106649, 23538, 16556, 67016, 104650, 48864, 118765, 110018, 15682, 30926, 25580, 48864, 108710, 20230, 123457, 17701, 104028, 106592, 33334, 125683, 62004, 78434, 9174, 104650, 48864, 16144, 105465, 21105, 123, 20230, 13177, 108901, 106581, 30512, 33014, 111186, 54926, 100909, 118587, 123680, 102639, 30369, 17792, 32977, 107991, 32149, 106046, 61689, 109807, 41007, 103306, 5486, 103927, 103202, 106826, 25197, 15682, 114652, 102647, 81219, 104028, 73597, 252, 19000, 41007, 16144, 16, 59739, 38641, 9174, 80673, 106384, 37823, 70563, 16073, 117083, 102158, 48864, 104575, 77181, 15973, 106, 104654, 29295, 108936, 109904, 103846, 5486, 9039, 107707, 106718, 110792, 43167, 108638, 104654, 30512, 37705, 31431, 33541, 9174, 127177, 29504, 16556, 114652, 101182, 103927, 103202, 106826, 25197, 114475, 76622, 17701, 115032, 118006, 29295, 106384, 37823, 70563, 16073, 102052, 83747, 103470, 5486, 102321, 30590, 16144, 108936, 109904, 104654, 30512, 33014, 111186, 54926, 109335, 111108, 102800, 38641, 9174, 90620, 15024, 106718, 15973, 106, 77181, 5486, 115274, 19, 56040, 20, 107707, 104650, 106718, 19732, 43167, 108638, 104654, 30512, 37705, 31431, 33541, 1811, 106384, 37823, 70563, 16073, 17792, 19732, 126419, 20230, 104654, 54926, 117735, 77181, 124897, 29295, 5486, 118969, 75694, 17129, 26854, 29504, 117758, 104650, 106718, 19732, 113850, 103424, 47884, 109020, 101513, 38093, 115991, 33541, 9174, 43167, 108638, 104654, 20230, 101557, 96, 104028, 17129, 77181, 27384, 104721, 119627, 5486, 108901, 106581, 33014, 111186, 15682, 88367, 26854, 17905, 20230, 5486, 21990, 96311, 107, 16144, 98915, 114754, 50928, 110071, 115789, 101182, 123253, 9174, 106384, 37823, 70563, 16073, 104650, 48864, 77181, 118969, 75694, 17129, 26854, 104575, 55031, 115364, 30832, 112535, 40862, 100472, 104575, 30512, 102647, 103854, 30369, 105908, 101523, 227, 48634, 38641, 9174, 80673, 104575, 113468, 15682, 114654, 48864, 108710, 126036, 114181, 101426, 71289, 39880, 29220, 103906, 91482, 103906, 30512, 30358, 103984, 54926, 110229, 32977, 57903, 5486, 109739, 104127, 104650, 48864, 29295, 105721, 78183, 30369, 115789, 57903, 50928, 33541, 9174, 99849, 126036, 64810, 52884, 102687, 104309, 76739, 104612, 37026, 33014, 29295, 37823, 118091, 84477, 30590, 118816, 5486, 109739, 104369, 116245, 71289, 101513, 38093, 32977, 127181, 38641, 1811, 105994, 16556, 104654, 37823, 78525, 91062, 71289, 53508, 231, 104195, 111363, 102494, 78459, 102832, 38248, 115, 78205, 16073, 30512, 64531, 119841, 19732, 5486, 53508, 231, 104195, 82973, 15682, 67645, 124592, 25827, 114485, 76947, 103801, 61689, 9174, 32977, 43514, 85791, 25827, 37823, 123646, 116219, 119707, 101832, 38144, 104650, 48864, 54926, 24273, 32977, 108086, 5486, 109739, 104369, 105908, 109161, 16995, 19732, 15120, 107963, 20230, 64889, 78244, 15682, 103082, 107515, 119520, 114654, 48634, 122060, 104309, 113173, 107407, 126513, 61633, 56051, 16995, 110229, 38641, 9174, 109739, 104127, 105721, 78183, 110104, 103846, 102052, 5486, 126843, 30591, 112568, 29295, 67645, 103171, 113173, 16556, 104650, 48864, 102416, 23039, 47884, 104865, 5486, 64531, 22649, 103801, 109954, 1811, 115364, 113173, 29295, 110526, 16144, 113949, 9458, 104575, 16556, 104067, 13153, 108608, 102944, 26854, 104865, 116898, 17129, 127637, 78698, 107290, 64121, 38144 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 53508, 231, 104195, 108608, 117501, 29295, 50928, 102204, 33541, 9174, 66378, 20230, 85707, 107436, 16144, 125559, 104650, 48864, 77181, 112690, 29295, 33035, 100204, 100604, 5486, 112361, 106581, 71289, 108710, 101557, 96, 16556, 113841, 108608, 114754, 16995, 100604, 117501, 15682, 64209, 104398, 16995, 102944, 38641, 1811, 104575, 20230, 102433, 114754, 43240, 47884, 38144, 51385, 64209, 108608, 115789, 106384, 37823, 70563, 16073, 104650, 48864, 16144, 101523, 227, 48634, 125651, 9174, 112798, 103892, 16556, 33334, 108044, 58942, 56051, 121640, 5486, 106384, 37823, 70563, 16073, 104650, 48864, 15682, 15973, 106, 104654, 123410, 104575, 29295, 102717, 19732, 124592, 38641, 1811, 122270, 17, 56040, 18, 102456, 114308, 16144, 15973, 106, 29295, 127181, 17905, 20230, 5486, 108914, 102754, 107, 71289, 19012, 225, 21418, 104309, 96356, 16144, 18904, 111331, 109335, 105335, 26269, 52591, 20230, 49988, 122101, 105908, 125545, 9174, 125559, 16556, 104654, 21105, 103, 29295, 33503, 53508, 231, 104195, 54926, 104468, 5486, 101067, 66201, 71689, 20230, 27384, 104721, 38641, 9174, 80673, 106384, 37823, 70563, 113883, 102158, 48864, 104575, 127303, 104984, 102456, 30926, 19732, 112825, 87844, 109904, 96356, 16144, 18904, 111331, 33334, 101083, 87177, 114308, 16144, 15973, 106, 104654, 30512, 102647, 103854, 30369, 103846, 5486, 105994, 16556, 104654, 30512, 64531, 105262, 109215, 15682, 124897, 1811, 46729, 30926, 16144, 46034, 56965, 29295, 66870, 105784, 17620, 5486, 53508, 231, 104195, 20230, 120766, 108608, 117501, 38641, 9174, 102158, 48864, 104575, 113468, 15682, 102433, 102456, 30512, 104908, 39926, 124089, 5486, 102456, 30926, 119279, 16995, 102800, 19732, 107624, 106053, 16144, 104575, 32977, 57903, 5486, 103868, 32977, 109606, 124897, 1811, 33014, 104873, 30512, 103553, 102, 17663, 125396, 32977, 103167, 47884, 5486, 51385, 64209, 38641, 9174, 106384, 37823, 70563, 16073, 15682, 102433, 19732, 112361, 39880, 125581, 12554, 237, 106644, 58942, 20230, 5486, 127284, 20230, 77693, 108680, 82973, 29295, 32149, 107277, 107515, 1811, 52591, 119744, 82973, 15682, 74245, 23039, 102924, 124905, 116285, 19, 56040, 20, 82973, 19732, 106649, 16995, 38641, 9174, 104959, 73361, 12554, 237, 15682, 124349, 32977, 110596, 16995, 100909, 55031, 52591, 119744, 121142, 605, 56040, 868, 82973, 19732, 101544, 47884, 5486, 122270, 114743, 106306, 31640, 32977, 605, 110743, 72404, 58942, 19732, 45736, 115737, 31431, 126172, 16995, 38641, 1811, 127284, 82973, 19732, 106382, 11883, 28190, 16144, 110176, 24273, 16556, 109972, 106529, 29295, 119448, 47884, 5486, 110968, 104743, 112649, 117295, 82973, 19732, 42506, 35330, 30512, 114485, 33503, 17663, 104468, 26854, 107188, 32149, 111108, 102800, 15120, 28190, 32977, 57903, 33541, 9174, 106384, 37823, 70563, 16073, 15682, 102433, 117758, 124349, 29295, 60358, 16995, 17620, 5486, 114743, 106306, 31640, 32977, 104959, 73361, 12554, 237, 105755, 126128, 58942, 102204, 33541, 1811, 39177, 23538, 71289, 114743, 108695, 30512, 30297, 17129, 47884, 102647, 103854, 81219, 5486, 20, 110743, 108680, 16556, 109198, 17701, 54926, 115789, 88367, 38641, 9174, 124349, 29295, 60358, 16995, 104468, 127284, 82973, 121142, 103470, 5486, 42506, 35330, 28190, 72661, 39850, 37823, 67075, 107407, 16144, 38641, 9174, 104650, 48864, 61826, 113468, 15682, 110968, 104743, 112772, 91482, 103988, 102782, 109311, 29295, 109215, 26854, 17905, 20230, 5486, 109242, 9039, 16144, 102181, 104770, 118664, 29295, 32018, 62004, 102204, 33541, 9174, 103359, 39926, 106384, 37823, 70563, 16073, 15682, 5486, 966, 9080, 39442, 112624, 16144, 104650, 48864, 127303, 104984, 30926, 123628, 91482, 103988, 102782, 109311, 29295, 109215, 124897, 9174, 117232, 20230, 48249, 121140, 81258, 48864, 110008, 31540, 102181, 10110, 1242, 47, 120732, 102782, 109311, 5486, 17, 113746, 30512, 104087, 58942, 104533, 48915, 29504, 17792, 125104, 110322, 10110, 1741, 49, 22197, 123218, 120732, 125104, 29295, 109215, 119627, 5486, 46034, 106307, 50834, 110214, 16144, 114181, 101426, 91482, 103988, 16556, 17701, 29504, 125545, 9174, 53900, 116155, 16144, 46034, 106307, 50834, 113468, 966, 9080, 30512, 72404, 107290, 73597, 252, 19000, 54926, 115789, 88367, 26854, 17905, 5486, 91482, 103988, 16144, 109337, 101544, 15682, 102158, 48864, 104575, 20230, 103963, 117943, 54926, 115789, 88367, 38641, 9174, 91482, 103988, 46034, 106307, 50834, 29295, 77693, 108680, 109215, 100604, 17905, 20230, 102782, 109311, 37026, 33014, 32977, 112825, 110904, 26854, 103846, 5486, 104650, 48864, 112772, 107253, 104874, 112649, 117295, 82973, 15682, 83747, 100604, 123253, 9174, 112798, 103892, 16556, 5486, 106384, 37823, 70563, 113883, 102158, 48864, 104575, 15682, 68759, 119495, 108941, 16073, 44971, 26269, 22398, 16073, 29295, 104356, 118816, 33334, 108044, 58942, 121256, 1811, 68759, 119495, 108941, 16073, 106644, 58942, 20230, 87177, 17663, 101513, 38093, 29295, 115079, 105262, 100909, 55031, 5486, 22398, 70563, 38248, 255, 94550, 48634, 29295, 110137, 102802, 126172, 16995, 117501, 72661, 57903, 33541, 9174, 53900, 106384, 37823, 70563, 113883, 102158, 48864, 104575, 16144, 107141, 101275, 15682, 13177, 22398, 70563, 38248, 255, 94550, 59712, 102404, 79785, 59712, 102803, 103906, 94550, 10646, 104309, 5486, 118552, 48154, 19732, 20230, 17620, 76622, 124195, 61689, 1811, 104575, 71289, 47260, 61398, 105352, 105755, 33541, 29295, 5486, 110526, 16144, 107141, 101275, 30512, 102647, 103854, 81219, 66378, 23187, 16144, 118552, 30512, 43167, 105363, 20230, 110137, 81219, 17663, 115789, 88367, 38641, 9174, 68759, 119495, 108941, 16073, 44971, 26269, 22398, 16073, 103195, 100909, 55031, 5486, 102404, 79785, 19732, 22398, 70563, 38248, 255, 94550, 15682, 66378, 20230, 110137, 81219, 15024, 126172, 16995, 38641, 1811, 83947, 38093, 87177, 20230, 107202, 46034, 37689, 109375, 107407, 17792, 125030, 76947, 15682, 5486, 101545, 44309, 54926, 126521, 101513, 38093, 121711, 102131, 125651, 9174, 106384, 37823, 70563, 16073, 102052, 64810, 52884, 102687, 71289, 99959, 66953, 90962, 102083, 100472, 37823, 118091, 84477, 30590, 32977, 57903, 5486, 104650, 48864, 61826, 103306, 121507, 54926, 115789, 88367, 38641, 1811, 56235, 16144, 101182, 37823, 118091, 84477, 30590, 20230, 104650, 48864, 112990, 50211, 9080, 15682, 25359, 17620, 20230, 53508, 231, 104195, 39926, 5486, 105677, 9080, 15682, 114284, 121381, 31431, 109739, 104369, 115789, 125545, 9174, 76739, 104612, 113468, 15682, 56235, 71289, 58911, 107407, 103846, 5486, 103223, 39880, 38248, 226, 39880, 29220, 103906, 91482, 103906, 32977, 43240, 9039, 87447, 113497, 116216, 61689, 9174, 27452, 116285, 64810, 52884, 102687, 77181, 76428, 100560, 247, 76739, 103988, 39850, 19732, 126419, 20230, 126503, 104699, 103223, 39880, 38248, 226, 109242, 9039, 16144, 102687, 104680, 30512, 116348, 30369, 111090, 116670, 103927, 26269, 70563, 94550, 104309, 123085, 77181, 62004, 101860, 114420, 106613, 111186, 123410, 115789, 88367, 38641, 9174, 56235, 107407, 106644, 58942, 20230, 120523, 95221, 17620, 32977, 103868, 78183, 105262, 112973, 106384, 37823, 70563, 113883, 101523, 227, 48634, 38641, 1811, 103350, 104983, 20230, 50211, 9080, 15682, 114654, 20230, 120766, 39926, 105677, 9080, 15682, 107691, 16995, 53953, 71289, 39880, 29220, 103906, 91482, 103906, 30512, 126407, 104004, 5486, 102158, 48864, 104575, 30512, 124305, 101275, 56051, 123090, 9039, 9080, 114181, 101426, 39926, 55031, 112454, 30369, 17792, 32977, 61689, 9174, 106222, 107707, 106649, 23538, 104650, 48864, 104309, 5486, 37823, 123646, 116219, 32977, 114196, 101832, 100934, 107803, 20230, 106384, 37823, 70563, 16073, 15682, 32335, 109431, 123253, 9174, 33334, 125683, 62004, 16144, 114181, 101426, 124011, 67075, 15682, 88852, 16556, 126362, 127145, 1811, 95221, 108176, 24273, 15682, 121846, 116446, 64121, 38144, 72315, 9174, 106384, 37823, 70563, 16073, 112197, 125683, 62004, 114181, 101426, 124011, 67075, 605, 102647, 198, 110382, 103296, 33334, 108044, 58942, 56051, 104466, 106384, 37823, 70563, 16073, 15682, 102456, 30926, 114308, 16144, 15973, 106, 104654, 16556, 53508, 231, 104195, 20230, 120766, 108608, 5486, 114181, 101426, 65854, 70141, 76622, 16144, 103223, 122776, 104309, 32977, 105843, 103350, 103792, 100909, 55031, 5486, 106649, 23538, 104650, 48864, 121254, 119188, 29504, 38641, 9174, 9039, 111299, 56965, 71289, 16, 113746, 16144, 106649, 23538, 104650, 48864, 19732, 104655, 126145, 5486, 114654, 48634, 29295, 110137, 102802, 20230, 47884, 16995, 25197, 126989, 107407, 32149, 110241, 33121, 107515, 119520, 73597, 252, 19000, 16325, 16144, 82973, 30512, 43167, 105363, 20230, 114654, 48864, 108710, 20230, 111017, 47884, 118733, 5486, 106649, 117232, 72661, 114654, 48634, 122060, 16144, 125396, 15682, 57903, 33541, 9174, 66378, 20230, 102456, 30926, 71289, 108914, 102754, 107, 114308, 16144, 106384, 37823, 70563, 113883, 102158, 48864, 104575, 15682, 5486, 53508, 231, 104195, 20230, 120766, 15024, 126172, 16995, 117501, 38641, 1811, 104650, 48864, 16325, 16144, 82973, 30512, 53508, 231, 104195, 20230, 30591, 125655, 118733, 5486, 16, 113746, 23897, 123727, 104650, 48864, 72661, 114654, 48634, 122060, 15682, 125494, 125545, 9174, 106384, 37823, 70563, 16073, 15682, 106649, 23538, 104650, 48864, 72661, 104650, 48864, 16144, 113173, 30512, 104067, 13153, 15024, 126172, 16995, 117501, 103195, 100909, 55031, 5486, 16, 111299, 56965, 56040, 16, 113746, 108680, 16144, 106649, 23538, 104650, 48864, 72661, 114392, 112624, 83601, 104, 125545, 9174, 39850, 37823, 67075, 29295, 43240, 9039, 101182, 106384, 37823, 70563, 16073, 104650, 48864, 119627, 5486, 32977, 43514, 85791, 25827, 68408, 39850, 37823, 67075, 32977, 57903, 33541, 9174, 113954, 39926, 33334, 105898, 16995, 68408, 39850, 37823, 67075, 605, 102159, 30512, 126362, 78434, 101832, 9174, 61826, 108680, 106384, 37823, 70563, 16073, 104650, 48864, 15682, 68759, 119495, 108941, 16073, 44971, 26269, 22398, 16073, 29295, 36668, 89753, 16144, 103846, 5486, 22398, 70563, 38248, 255, 94550, 71289, 102404, 79785, 29295, 110137, 102802, 126172, 16995, 19732, 33334, 108044, 58942, 121256, 198, 58426, 17620, 102803, 103906, 94550, 71289, 37823, 114228, 57183, 94550, 16144, 107141, 101275, 15682, 83747, 100604, 115789, 57903, 5486, 66378, 20230, 114654, 85707, 64209, 30046, 15682, 104650, 48864, 126867, 102181, 47884, 9458, 98499, 104004, 30512, 112258, 249, 105262, 38574, 106090, 103296, 28037, 104067, 21105, 103, 16995, 115789, 57903, 33541, 1811, 106649, 23538, 104650, 48864, 121142, 19, 118552, 122617, 30512, 110137, 81219, 17663, 104468, 37656, 74245, 111108, 102800, 38641, 9174, 66378, 20230, 5319, 36, 1341, 114475, 105784, 5486, 102667, 101682, 111186, 30512, 30832, 64467, 17663, 107803, 5486, 57933, 71634, 15682, 22398, 70563, 38248, 255, 94550, 103378, 77181, 124897, 109807, 126513, 108936, 114654, 44971, 115882, 30512, 113954, 56051, 17905, 16556, 106384, 37823, 70563, 16073, 104650, 48864, 15024, 5486, 106081, 111186, 103359, 105226, 20230, 108167, 103214, 109315, 47260, 61398, 30512, 102647, 104369, 109215, 115991, 33541, 9174, 108936, 109904, 102158, 48864, 104575, 77181, 19, 118552, 122617, 30512, 110137, 81219, 17663, 104468, 111108, 102800, 17905, 20230, 5486, 114654, 85707, 64209, 30046, 105110, 126738, 115143, 58426, 102040, 65575, 33710, 15682, 115442, 31431, 33541, 9174, 58426, 126513, 33671, 120950, 103359, 105226, 30512, 113727, 17129, 109954, 9174, 114654, 29295, 23187, 100815, 54926, 102052, 9039, 113746, 16144, 82973, 29295, 109215, 38641, 1811, 108608, 103378, 101544, 47884, 104650, 48864, 54926, 32149, 120953, 120837, 106649, 23538, 16556, 67016, 104650, 48864, 118765, 110018, 15682, 30926, 25580, 48864, 108710, 20230, 123457, 17701, 104028, 106592, 33334, 125683, 62004, 78434, 9174, 104650, 48864, 16144, 105465, 21105, 123, 20230, 13177, 108901, 106581, 30512, 33014, 111186, 54926, 100909, 118587, 123680, 102639, 30369, 17792, 32977, 107991, 32149, 106046, 61689, 109807, 41007, 103306, 5486, 103927, 103202, 106826, 25197, 15682, 114652, 102647, 81219, 104028, 73597, 252, 19000, 41007, 16144, 16, 59739, 38641, 9174, 80673, 106384, 37823, 70563, 16073, 117083, 102158, 48864, 104575, 77181, 15973, 106, 104654, 29295, 108936, 109904, 103846, 5486, 9039, 107707, 106718, 110792, 43167, 108638, 104654, 30512, 37705, 31431, 33541, 9174, 127177, 29504, 16556, 114652, 101182, 103927, 103202, 106826, 25197, 114475, 76622, 17701, 115032, 118006, 29295, 106384, 37823, 70563, 16073, 102052, 83747, 103470, 5486, 102321, 30590, 16144, 108936, 109904, 104654, 30512, 33014, 111186, 54926, 109335, 111108, 102800, 38641, 9174, 90620, 15024, 106718, 15973, 106, 77181, 5486, 115274, 19, 56040, 20, 107707, 104650, 106718, 19732, 43167, 108638, 104654, 30512, 37705, 31431, 33541, 1811, 106384, 37823, 70563, 16073, 17792, 19732, 126419, 20230, 104654, 54926, 117735, 77181, 124897, 29295, 5486, 118969, 75694, 17129, 26854, 29504, 117758, 104650, 106718, 19732, 113850, 103424, 47884, 109020, 101513, 38093, 115991, 33541, 9174, 43167, 108638, 104654, 20230, 101557, 96, 104028, 17129, 77181, 27384, 104721, 119627, 5486, 108901, 106581, 33014, 111186, 15682, 88367, 26854, 17905, 20230, 5486, 21990, 96311, 107, 16144, 98915, 114754, 50928, 110071, 115789, 101182, 123253, 9174, 106384, 37823, 70563, 16073, 104650, 48864, 77181, 118969, 75694, 17129, 26854, 104575, 55031, 115364, 30832, 112535, 40862, 100472, 104575, 30512, 102647, 103854, 30369, 105908, 101523, 227, 48634, 38641, 9174, 80673, 104575, 113468, 15682, 114654, 48864, 108710, 126036, 114181, 101426, 71289, 39880, 29220, 103906, 91482, 103906, 30512, 30358, 103984, 54926, 110229, 32977, 57903, 5486, 109739, 104127, 104650, 48864, 29295, 105721, 78183, 30369, 115789, 57903, 50928, 33541, 9174, 99849, 126036, 64810, 52884, 102687, 104309, 76739, 104612, 37026, 33014, 29295, 37823, 118091, 84477, 30590, 118816, 5486, 109739, 104369, 116245, 71289, 101513, 38093, 32977, 127181, 38641, 1811, 105994, 16556, 104654, 37823, 78525, 91062, 71289, 53508, 231, 104195, 111363, 102494, 78459, 102832, 38248, 115, 78205, 16073, 30512, 64531, 119841, 19732, 5486, 53508, 231, 104195, 82973, 15682, 67645, 124592, 25827, 114485, 76947, 103801, 61689, 9174, 32977, 43514, 85791, 25827, 37823, 123646, 116219, 119707, 101832, 38144, 104650, 48864, 54926, 24273, 32977, 108086, 5486, 109739, 104369, 105908, 109161, 16995, 19732, 15120, 107963, 20230, 64889, 78244, 15682, 103082, 107515, 119520, 114654, 48634, 122060, 104309, 113173, 107407, 126513, 61633, 56051, 16995, 110229, 38641, 9174, 109739, 104127, 105721, 78183, 110104, 103846, 102052, 5486, 126843, 30591, 112568, 29295, 67645, 103171, 113173, 16556, 104650, 48864, 102416, 23039, 47884, 104865, 5486, 64531, 22649, 103801, 109954, 1811, 115364, 113173, 29295, 110526, 16144, 113949, 9458, 104575, 16556, 104067, 13153, 108608, 102944, 26854, 104865, 116898, 17129, 127637, 78698, 107290, 64121, 38144 ]
[ 72315, 9174, 106384, 37823, 70563, 16073, 15682, 102433, 19732, 57106, 103854, 104533, 112185, 112185, 102404, 77413, 108968, 17905, 29504, 38641, 1811, 116245, 71289, 76739, 104612, 113468, 15682, 71005, 51385, 29295, 109161, 16995, 115789, 57903, 33541, 9174, 27452, 116285, 22398, 37823, 71289, 123010, 111108, 104309, 123085, 20230, 16995, 104533, 95221, 30512, 47000, 105784, 109215, 16144, 100604, 117355, 127688, 16144, 112997, 29220, 29295, 115079, 78434, 9174, 111828, 30358, 25446, 15682, 120044, 96356, 106627, 30813, 101860, 69978, 59739, 5486, 27929, 32977, 27929, 32977, 45736, 104297, 25446, 15682, 69978, 76947, 23039, 126660, 104309, 5486, 61633, 103801, 109954, 9174, 90620, 15024, 122617, 16144, 119208, 16556, 71005, 51385, 29295, 109161, 16995, 117735, 77181, 124897, 1811, 105469, 116664, 114050, 29295, 43240, 47884, 38144, 104970, 104874, 29295, 16906, 111, 30358, 26854, 76739, 104612, 104309, 5486, 116245, 113468, 15682, 71005, 51385, 29295, 126521, 38641, 9174, 64209, 55487, 26854, 24273, 15682, 5486, 73597, 252, 19000, 54926, 116245, 30512, 21105, 96, 107277, 19732, 104873, 103854, 28713, 17905, 16556, 104662, 109315, 106592, 33334, 125683, 62004, 78434, 9174, 106384, 37823, 70563, 113883, 71005, 51385, 115517, 109853, 5486, 50520, 111, 106624, 15682, 88852, 16144, 77219, 30512, 121846, 116446, 64121, 38144, 72315, 9174, 106384, 37823, 70563, 113883, 71005, 51385, 15682, 104405, 126529, 11571, 106384, 37823, 70563, 113883, 71005, 51385, 115517, 19732, 20251, 32131, 112193, 16144, 103359, 117120, 25333, 123011, 62004, 198, 106384, 37823, 70563, 16073, 15682, 102404, 77413, 108968, 17905, 125525, 103846, 5486, 104654, 117501, 29295, 102433, 126036, 64531, 107462, 100604, 105908, 57903, 33541, 9174, 27452, 116285, 73597, 252, 19000, 61826, 113468, 15682, 53610, 105988, 124049, 67016, 20834, 100604, 5486, 26892, 53953, 29295, 102491, 16995, 5486, 118633, 125334, 30369, 102083, 100472, 100909, 38641, 1811, 102433, 105755, 15682, 104654, 117501, 16144, 44971, 115882, 29295, 120175, 30369, 120266, 5486, 71634, 108744, 30512, 112391, 30369, 104650, 106718, 32977, 61689, 9174, 85707, 107436, 125559, 120650, 47884, 116537, 5486, 117501, 16144, 108010, 119178, 101557, 96, 104028, 103296, 82973, 29295, 32149, 117295, 32149, 110241, 33121, 107515, 1811, 64209, 55487, 26854, 126513, 76171, 52591, 32131, 16144, 64531, 103836, 122770, 73597, 252, 19000, 30512, 102647, 104369, 5486, 113949, 34048, 20230, 104650, 48864, 54926, 104309, 5486, 116245, 102647, 102802, 30512, 37689, 109375, 39926, 64121, 17129, 109954, 9174, 106384, 37823, 70563, 16073, 15682, 64810, 52884, 102687, 104309, 37823, 118091, 84477, 30590, 16144, 25197, 126989, 29295, 104195, 118544, 106046, 61689, 119520, 106384, 37823, 70563, 16073, 122617, 29295, 56235, 71289, 109739, 102802, 75267, 20230, 116310, 17129, 103468, 119208, 126194, 5486, 116245, 113468, 15682, 104603, 68581, 103830, 30512, 112391, 30369, 115789, 57903, 33541, 9174, 13177, 106384, 37823, 70563, 16073, 104023, 37823, 118091, 84477, 16556, 109739, 103854, 30369, 66383, 16995, 100472, 25197, 126989, 16556, 104650, 48864, 39926, 114732, 19732, 5486, 104650, 48864, 123090, 104603, 68581, 103830, 20230, 107202, 15024, 104004, 123253, 9174, 104405, 120837, 37823, 118091, 84477, 30590, 20230, 104650, 48864, 56051, 16995, 126513, 5486, 64810, 52884, 102687, 30512, 102647, 104127, 72315, 9174, 103359, 39926, 68759, 78683, 32131, 104309, 113949, 34048, 15682, 113949, 34048, 106644, 58942, 20230, 26892, 53953, 29295, 43240, 47884, 5486, 37823, 118091, 84477, 16144, 25132, 108, 116310, 95221, 15682, 112391, 20230, 47884, 16995, 38641, 9174, 115364, 30832, 112535, 114146, 38144, 73597, 252, 19000, 113949, 30512, 102647, 104369, 101200, 37689, 109375, 39926, 64121, 38144, 72315, 9174, 106384, 37823, 70563, 16073, 15682, 114654, 48634, 29295, 110137, 102802, 126172, 16995, 117501, 77181, 57903, 33541, 29295, 5486, 106384, 37823, 70563, 16073, 114754, 114654, 102750, 25197, 103906, 52884, 26854, 117735, 77181, 124897, 9174, 31640, 78183, 112586, 104959, 73361, 12554, 237, 20834, 96356, 16144, 114341, 104599, 30512, 118935, 11883, 15024, 5486, 102750, 25197, 103906, 52884, 111848, 107141, 101275, 30512, 104908, 54926, 102158, 48864, 104575, 32977, 57903, 33541, 29295, 5486, 101682, 114341, 108608, 107141, 101275, 16144, 47260, 68759, 9039, 20230, 44416, 48249, 107407, 104309, 5486, 40053, 20230, 102750, 25197, 103906, 52884, 16144, 107141, 101275, 114475, 76622, 110071, 117501, 107118, 120267, 111108, 16995, 38641, 9174, 102750, 25197, 103906, 52884, 111848, 64467, 106839, 101513, 38093, 15682, 83747, 100604, 103846, 115515, 74482, 127164, 71289, 25197, 104603, 112997, 104309, 104959, 73361, 12554, 237, 20230, 17, 109984, 29504, 104650, 48864, 123410, 5486, 125559, 81258, 107430, 121254, 107441, 114654, 123457, 96356, 20230, 122382, 106956, 17792, 125030, 76947, 15682, 5486, 53953, 102780, 31431, 103470, 112391, 33541, 9174, 104405, 120837, 106384, 37823, 70563, 16073, 16556, 102750, 25197, 103906, 52884, 117758, 64467, 106839, 114475, 76622, 106956, 107803, 5486, 107059, 105048, 30512, 104650, 48864, 61826, 20230, 102647, 102802, 17129, 109954, 9174, 107059, 105048, 15682, 32149, 59739, 38144, 73361, 103472, 124426, 122291, 100909, 55031, 5486, 104959, 73361, 20834, 96356, 16144, 114341, 104599, 29295, 43240, 9039, 19000, 108847, 103792, 102158, 48864, 104575, 29295, 125261, 9554, 127181, 38641, 1811, 106384, 37823, 70563, 113883, 51385, 16995, 53953, 95001, 16556, 104650, 48864, 21105, 103, 29295, 33503, 102750, 25197, 103906, 52884, 16144, 64467, 106839, 30512, 43240, 47884, 101682, 76622, 110071, 5486, 101523, 227, 48634, 109904, 119208, 38641, 9174, 107059, 105048, 104650, 48864, 109853, 5486, 50520, 111, 106624, 15682, 88852, 16144, 77219, 30512, 121846, 116446, 64121, 38144, 72315, 9174, 107059, 105048, 104650, 48864, 16144, 66378, 17599, 112, 107118, 11571, 39850, 37823, 67075, 9458, 68408, 39850, 37823, 67075, 30512, 17599, 117, 104792, 50338, 108323, 106609, 106384, 37823, 70563, 16073, 15682, 102433, 17792, 104650, 106718, 29295, 127181, 105908, 101523, 227, 48634, 118816, 33334, 108044, 58942, 121256, 109807, 17620, 114341, 104599, 15682, 102433, 17792, 110792, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 20230, 101557, 96, 106824, 108086, 5486, 114654, 85707, 64209, 30046, 125030, 76947, 103129, 117295, 75267, 28190, 107407, 104468, 30926, 103350, 38641, 9174, 80673, 106384, 37823, 70563, 16073, 17792, 114341, 104599, 29295, 102433, 17792, 20230, 101557, 96, 115032, 106644, 58942, 20230, 123085, 114754, 113954, 15024, 126172, 16995, 104466, 55487, 101557, 106, 39926, 87177, 17663, 104309, 5486, 109683, 26854, 121894, 16556, 64467, 106839, 114475, 76622, 110071, 125396, 15682, 103167, 16995, 38641, 9174, 58426, 103846, 106384, 37823, 70563, 16073, 104650, 48864, 16144, 123090, 104959, 73361, 12554, 237, 20230, 110968, 104743, 127564, 5486, 102750, 25197, 103906, 52884, 16144, 87177, 17663, 22398, 70563, 65575, 16144, 103856, 30813, 107294, 16995, 100481, 76622, 104435, 102677, 71174, 32977, 104655, 50834, 33541, 9174, 53900, 102433, 17792, 29245, 249, 112586, 101557, 96, 115032, 17620, 5486, 37656, 102800, 102404, 79785, 16556, 103470, 111243, 108044, 78183, 76947, 114732, 115789, 57903, 33541, 1811, 103350, 48634, 127242, 72661, 38093, 87177, 29295, 13153, 31431, 80195, 76947, 103801, 16995, 5486, 115364, 104612, 33710, 26854, 114654, 48634, 20230, 95221, 114308, 20230, 47884, 16995, 38641, 9174, 103359, 117120, 25333, 103306, 5486, 104650, 106718, 29295, 43240, 29504, 108847, 26854, 102158, 48864, 104575, 20230, 104650, 48864, 54926, 112973, 33334, 125683, 62004, 38641, 1811, 114341, 104599, 29295, 102433, 17792, 110792, 38093, 87177, 20230, 101557, 96, 33121, 100481, 111243, 5486, 127177, 104650, 106718, 15682, 101557, 96, 33121, 126386, 17620, 55487, 101557, 106, 107001, 109335, 124897, 9174, 43240, 29504, 108847, 26854, 102158, 48864, 104575, 20230, 104650, 48864, 15024, 5486, 108882, 110993, 112535, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 30512, 18655, 104984, 5486, 114654, 48634, 29295, 110137, 102802, 101860, 20230, 104650, 48864, 29295, 105721, 78183, 30369, 109335, 111098, 76622, 102204, 33541, 9174, 106384, 37823, 70563, 16073, 15682, 102158, 48864, 104575, 71289, 114341, 104599, 29295, 43240, 9039, 48706, 78434, 29295, 120953, 120837, 64467, 106839, 48634, 122692, 104575, 104364, 9458, 121568, 104364, 15682, 102404, 21990, 78434, 1811, 103350, 104983, 20230, 104650, 48864, 39926, 107141, 101275, 114475, 124324, 19732, 17620, 124403, 115789, 43240, 47884, 5486, 102321, 30590, 16556, 102472, 26269, 71493, 37823, 54926, 115789, 101182, 117840, 9174, 115364, 22649, 101067, 19732, 108901, 109020, 104575, 71289, 114341, 104599, 30512, 111098, 105784, 102052, 5486, 40526, 47260, 101198, 30512, 121846, 117657, 112973, 33334, 125683, 62004, 38641, 1811, 103350, 104983, 20230, 104650, 48864, 56051, 107707, 99750, 101067, 29295, 17620, 117295, 103846, 5486, 104612, 33710, 26854, 64467, 106839, 48634, 71289, 107141, 101275, 16144, 103826, 45829, 30512, 102178, 111665, 125545, 9174, 108608, 103378, 104650, 48864, 112772, 104873, 115694, 108134, 110226, 43167, 15024, 5486, 108446, 50928, 56051, 17905, 16556, 104650, 48864, 30512, 104662, 64889, 103801, 109954, 9174, 106384, 37823, 70563, 113883, 102158, 48864, 104575, 102052, 64810, 101198, 22398, 80805, 33710, 47307, 71289, 22398, 80805, 33710, 47307, 102083, 100472, 47260, 61398, 32977, 48706, 78434, 1811, 22398, 80805, 33710, 47307, 107118, 58426, 13372, 16144, 121640, 5486, 114654, 48634, 122060, 16144, 113009, 16906, 111, 102800, 64467, 106839, 71289, 71493, 37823, 123283, 32131, 91062, 29295, 103214, 17129, 104028, 47260, 61398, 38641, 9174, 44915, 15682, 27452, 116285, 5486, 33671, 16144, 121640, 38641, 9174, 9953, 110195, 55031, 35330, 110195, 103296, 104575, 20230, 25906, 114, 50520, 108, 121894, 16556, 124563, 107188, 32149, 109739, 104369, 109335, 103082, 107515, 1811, 120523, 95221, 17620, 32977, 103868, 78183, 102334, 16995, 114754, 22398, 80805, 33710, 47307, 16144, 102158, 48864, 104575, 20230, 104650, 48864, 112990, 5486, 25197, 126989, 110792, 104603, 68581, 103830, 55031, 104650, 48864, 104654, 29295, 115200, 115737, 31431, 33541, 9174, 122617, 16144, 104575, 29295, 22398, 80805, 33710, 47307, 26854, 117735, 77181, 124897, 29295, 5486, 106384, 37823, 70563, 16073, 15682, 127177, 29504, 20230, 57106, 103854, 104533, 22398, 80805, 33710, 47307, 47260, 61398, 30512, 11883, 37689, 54926, 104575, 29295, 127181, 38641, 9174, 115364, 113173, 30512, 64531, 22649, 56051, 17905, 16556, 5486, 110526, 16144, 102158, 48864, 104575, 16144, 64467, 106839, 105335, 106696, 30512, 114140, 39926, 33334, 50834, 17129, 109954, 9174, 110382, 103296, 106384, 37823, 70563, 16073, 104650, 48864, 16144, 39850, 37823, 67075, 71289, 68408, 39850, 37823, 67075, 126130, 108044, 58942, 121256, 1811, 105994, 20230, 106384, 37823, 70563, 16073, 104650, 48864, 29295, 70141, 119188, 32149, 104405, 32149, 5486, 101182, 113314, 113954, 103082, 28713, 16144, 111769, 123253, 32149, 9174, 114626, 20230, 5486, 106384, 37823, 70563, 16073, 104650, 48864, 126130, 125683, 62004, 54926, 107707, 66378, 17599, 112, 30512, 123011, 62004, 79721, 9174, 126843, 106384, 37823, 70563, 16073, 15682, 53953, 95001, 29295, 51385, 102334, 62004, 5486, 104650, 48864, 106382, 11883, 15682, 127177, 29504, 105755, 51385, 47884, 109020, 101427, 122, 70141, 38641, 1811, 106382, 11883, 30512, 32335, 104622, 61826, 20230, 113727, 106956, 17792, 125030, 76947, 5486, 106384, 37823, 70563, 16073, 15682, 33334, 125683, 62004, 16144, 29504, 38641, 9174, 53900, 99849, 27479, 32149, 33334, 108044, 58942, 56051, 104466, 5486, 106384, 37823, 70563, 113883, 102158, 48864, 104575, 15682, 68759, 119495, 108941, 16073, 44971, 26269, 22398, 16073, 106644, 58942, 20230, 107141, 101275, 16556, 87177, 17663, 101513, 38093, 29295, 43240, 47884, 5486, 114654, 48634, 29295, 45736, 109709, 126172, 16995, 38641, 9174, 106649, 23538, 104650, 48864, 15682, 102404, 79785, 19732, 22398, 70563, 38248, 255, 94550, 20230, 58254, 252, 102204, 33541, 29295, 5486, 114654, 85707, 64209, 30046, 72661, 114654, 48634, 16144, 110137, 102802, 30512, 103350, 99750, 125545, 1811, 114341, 104599, 29295, 102433, 107707, 64467, 106839, 20230, 101557, 96, 115032, 102677, 68408, 39850, 37823, 67075, 32977, 57903, 33541, 29295, 5486, 114654, 85707, 64209, 30046, 125030, 76947, 15682, 51385, 64209, 108321, 121711, 33541, 9174, 17905, 61304, 119775, 114654, 123457, 110137, 81219, 56051, 16995, 17792, 5486, 106382, 11883, 30512, 126128, 58942, 106956, 116537, 106384, 37823, 70563, 16073, 104650, 48864, 30512, 111800, 118219, 39926, 64121, 38144, 72315, 101832, 9174, 53900, 110382, 103296, 30512, 98499, 104127, 5486, 106384, 37823, 70563, 16073, 20230, 109834, 103868, 114792, 38144, 104435, 17792, 32977, 107991, 32149, 106046, 61689, 109807, 126513, 33671, 16144, 29504, 119279, 125683, 62004, 38641, 1811, 95221, 108176, 24273, 15682, 102208, 122481, 30512, 48154, 111182, 72315, 9174, 22656, 75267, 16144, 25197, 104603, 112997, 114654, 30512, 48864, 103854, 30369, 198, 25197, 104603, 112997, 104650, 48864, 107118, 11571, 66378, 17599, 112, 19732, 39850, 37823, 67075, 9458, 68408, 39850, 37823, 67075, 30512, 17599, 117, 104792, 50338, 108323, 106609, 103927, 103202, 106826, 25197, 71289, 102756, 38248, 255, 94550, 103927, 37823, 68408, 11972, 16556, 102321, 30590, 104654, 30512, 33014, 111186, 108608, 198, 90962, 125913, 32131, 104612, 104650, 48864, 107118, 11571, 66378, 17599, 112, 19732, 39850, 37823, 67075, 9458, 68408, 39850, 37823, 67075, 30512, 17599, 117, 104792, 50338, 108323, 106609, 37271, 18904, 15682, 106384, 37823, 70563, 16073, 104650, 48864, 16144, 39850, 37823, 67075, 9458, 68408, 39850, 37823, 67075, 109853, 126362, 121256, 9174, 99849, 27479, 32149, 33334, 108044, 58942, 56051, 121640, 5486, 106384, 37823, 70563, 16073, 104650, 48864, 102052, 104650, 48864, 106382, 11883, 29295, 51385, 16995, 127359, 119495, 108941, 113883, 107141, 101275, 16556, 114654, 16144, 102404, 79785, 71289, 22398, 70563, 38248, 255, 94550, 29295, 96356, 20230, 47000, 47884, 5486, 30832, 112535, 40862, 100472, 104575, 102647, 102802, 29295, 108608, 102083, 100472, 66378, 17599, 112, 115991, 33541, 9174, 58426, 103846, 106382, 11883, 30512, 126128, 58942, 106956, 5486, 114654, 123457, 43167, 105363, 20230, 110137, 81219, 56051, 16995, 17792, 107898, 125683, 62004, 16144, 29504, 38641, 1811, 68408, 39850, 37823, 67075, 32977, 57903, 33541, 29295, 108048, 108422, 33121, 103359, 105226, 30512, 78698, 107290, 104575, 71289, 73597, 252, 19000, 61826, 30512, 102647, 103854, 81219, 27384, 112495, 46456, 108502, 15682, 124897, 9174, 37271, 18904, 16144, 77219, 30512, 121846, 20230, 5486, 106384, 37823, 70563, 16073, 104650, 48864, 30512, 111800, 118219, 39926, 64121, 38144, 72315, 101832, 9174, 53900, 104650 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 72315, 9174, 106384, 37823, 70563, 16073, 15682, 102433, 19732, 57106, 103854, 104533, 112185, 112185, 102404, 77413, 108968, 17905, 29504, 38641, 1811, 116245, 71289, 76739, 104612, 113468, 15682, 71005, 51385, 29295, 109161, 16995, 115789, 57903, 33541, 9174, 27452, 116285, 22398, 37823, 71289, 123010, 111108, 104309, 123085, 20230, 16995, 104533, 95221, 30512, 47000, 105784, 109215, 16144, 100604, 117355, 127688, 16144, 112997, 29220, 29295, 115079, 78434, 9174, 111828, 30358, 25446, 15682, 120044, 96356, 106627, 30813, 101860, 69978, 59739, 5486, 27929, 32977, 27929, 32977, 45736, 104297, 25446, 15682, 69978, 76947, 23039, 126660, 104309, 5486, 61633, 103801, 109954, 9174, 90620, 15024, 122617, 16144, 119208, 16556, 71005, 51385, 29295, 109161, 16995, 117735, 77181, 124897, 1811, 105469, 116664, 114050, 29295, 43240, 47884, 38144, 104970, 104874, 29295, 16906, 111, 30358, 26854, 76739, 104612, 104309, 5486, 116245, 113468, 15682, 71005, 51385, 29295, 126521, 38641, 9174, 64209, 55487, 26854, 24273, 15682, 5486, 73597, 252, 19000, 54926, 116245, 30512, 21105, 96, 107277, 19732, 104873, 103854, 28713, 17905, 16556, 104662, 109315, 106592, 33334, 125683, 62004, 78434, 9174, 106384, 37823, 70563, 113883, 71005, 51385, 115517, 109853, 5486, 50520, 111, 106624, 15682, 88852, 16144, 77219, 30512, 121846, 116446, 64121, 38144, 72315, 9174, 106384, 37823, 70563, 113883, 71005, 51385, 15682, 104405, 126529, 11571, 106384, 37823, 70563, 113883, 71005, 51385, 115517, 19732, 20251, 32131, 112193, 16144, 103359, 117120, 25333, 123011, 62004, 198, 106384, 37823, 70563, 16073, 15682, 102404, 77413, 108968, 17905, 125525, 103846, 5486, 104654, 117501, 29295, 102433, 126036, 64531, 107462, 100604, 105908, 57903, 33541, 9174, 27452, 116285, 73597, 252, 19000, 61826, 113468, 15682, 53610, 105988, 124049, 67016, 20834, 100604, 5486, 26892, 53953, 29295, 102491, 16995, 5486, 118633, 125334, 30369, 102083, 100472, 100909, 38641, 1811, 102433, 105755, 15682, 104654, 117501, 16144, 44971, 115882, 29295, 120175, 30369, 120266, 5486, 71634, 108744, 30512, 112391, 30369, 104650, 106718, 32977, 61689, 9174, 85707, 107436, 125559, 120650, 47884, 116537, 5486, 117501, 16144, 108010, 119178, 101557, 96, 104028, 103296, 82973, 29295, 32149, 117295, 32149, 110241, 33121, 107515, 1811, 64209, 55487, 26854, 126513, 76171, 52591, 32131, 16144, 64531, 103836, 122770, 73597, 252, 19000, 30512, 102647, 104369, 5486, 113949, 34048, 20230, 104650, 48864, 54926, 104309, 5486, 116245, 102647, 102802, 30512, 37689, 109375, 39926, 64121, 17129, 109954, 9174, 106384, 37823, 70563, 16073, 15682, 64810, 52884, 102687, 104309, 37823, 118091, 84477, 30590, 16144, 25197, 126989, 29295, 104195, 118544, 106046, 61689, 119520, 106384, 37823, 70563, 16073, 122617, 29295, 56235, 71289, 109739, 102802, 75267, 20230, 116310, 17129, 103468, 119208, 126194, 5486, 116245, 113468, 15682, 104603, 68581, 103830, 30512, 112391, 30369, 115789, 57903, 33541, 9174, 13177, 106384, 37823, 70563, 16073, 104023, 37823, 118091, 84477, 16556, 109739, 103854, 30369, 66383, 16995, 100472, 25197, 126989, 16556, 104650, 48864, 39926, 114732, 19732, 5486, 104650, 48864, 123090, 104603, 68581, 103830, 20230, 107202, 15024, 104004, 123253, 9174, 104405, 120837, 37823, 118091, 84477, 30590, 20230, 104650, 48864, 56051, 16995, 126513, 5486, 64810, 52884, 102687, 30512, 102647, 104127, 72315, 9174, 103359, 39926, 68759, 78683, 32131, 104309, 113949, 34048, 15682, 113949, 34048, 106644, 58942, 20230, 26892, 53953, 29295, 43240, 47884, 5486, 37823, 118091, 84477, 16144, 25132, 108, 116310, 95221, 15682, 112391, 20230, 47884, 16995, 38641, 9174, 115364, 30832, 112535, 114146, 38144, 73597, 252, 19000, 113949, 30512, 102647, 104369, 101200, 37689, 109375, 39926, 64121, 38144, 72315, 9174, 106384, 37823, 70563, 16073, 15682, 114654, 48634, 29295, 110137, 102802, 126172, 16995, 117501, 77181, 57903, 33541, 29295, 5486, 106384, 37823, 70563, 16073, 114754, 114654, 102750, 25197, 103906, 52884, 26854, 117735, 77181, 124897, 9174, 31640, 78183, 112586, 104959, 73361, 12554, 237, 20834, 96356, 16144, 114341, 104599, 30512, 118935, 11883, 15024, 5486, 102750, 25197, 103906, 52884, 111848, 107141, 101275, 30512, 104908, 54926, 102158, 48864, 104575, 32977, 57903, 33541, 29295, 5486, 101682, 114341, 108608, 107141, 101275, 16144, 47260, 68759, 9039, 20230, 44416, 48249, 107407, 104309, 5486, 40053, 20230, 102750, 25197, 103906, 52884, 16144, 107141, 101275, 114475, 76622, 110071, 117501, 107118, 120267, 111108, 16995, 38641, 9174, 102750, 25197, 103906, 52884, 111848, 64467, 106839, 101513, 38093, 15682, 83747, 100604, 103846, 115515, 74482, 127164, 71289, 25197, 104603, 112997, 104309, 104959, 73361, 12554, 237, 20230, 17, 109984, 29504, 104650, 48864, 123410, 5486, 125559, 81258, 107430, 121254, 107441, 114654, 123457, 96356, 20230, 122382, 106956, 17792, 125030, 76947, 15682, 5486, 53953, 102780, 31431, 103470, 112391, 33541, 9174, 104405, 120837, 106384, 37823, 70563, 16073, 16556, 102750, 25197, 103906, 52884, 117758, 64467, 106839, 114475, 76622, 106956, 107803, 5486, 107059, 105048, 30512, 104650, 48864, 61826, 20230, 102647, 102802, 17129, 109954, 9174, 107059, 105048, 15682, 32149, 59739, 38144, 73361, 103472, 124426, 122291, 100909, 55031, 5486, 104959, 73361, 20834, 96356, 16144, 114341, 104599, 29295, 43240, 9039, 19000, 108847, 103792, 102158, 48864, 104575, 29295, 125261, 9554, 127181, 38641, 1811, 106384, 37823, 70563, 113883, 51385, 16995, 53953, 95001, 16556, 104650, 48864, 21105, 103, 29295, 33503, 102750, 25197, 103906, 52884, 16144, 64467, 106839, 30512, 43240, 47884, 101682, 76622, 110071, 5486, 101523, 227, 48634, 109904, 119208, 38641, 9174, 107059, 105048, 104650, 48864, 109853, 5486, 50520, 111, 106624, 15682, 88852, 16144, 77219, 30512, 121846, 116446, 64121, 38144, 72315, 9174, 107059, 105048, 104650, 48864, 16144, 66378, 17599, 112, 107118, 11571, 39850, 37823, 67075, 9458, 68408, 39850, 37823, 67075, 30512, 17599, 117, 104792, 50338, 108323, 106609, 106384, 37823, 70563, 16073, 15682, 102433, 17792, 104650, 106718, 29295, 127181, 105908, 101523, 227, 48634, 118816, 33334, 108044, 58942, 121256, 109807, 17620, 114341, 104599, 15682, 102433, 17792, 110792, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 20230, 101557, 96, 106824, 108086, 5486, 114654, 85707, 64209, 30046, 125030, 76947, 103129, 117295, 75267, 28190, 107407, 104468, 30926, 103350, 38641, 9174, 80673, 106384, 37823, 70563, 16073, 17792, 114341, 104599, 29295, 102433, 17792, 20230, 101557, 96, 115032, 106644, 58942, 20230, 123085, 114754, 113954, 15024, 126172, 16995, 104466, 55487, 101557, 106, 39926, 87177, 17663, 104309, 5486, 109683, 26854, 121894, 16556, 64467, 106839, 114475, 76622, 110071, 125396, 15682, 103167, 16995, 38641, 9174, 58426, 103846, 106384, 37823, 70563, 16073, 104650, 48864, 16144, 123090, 104959, 73361, 12554, 237, 20230, 110968, 104743, 127564, 5486, 102750, 25197, 103906, 52884, 16144, 87177, 17663, 22398, 70563, 65575, 16144, 103856, 30813, 107294, 16995, 100481, 76622, 104435, 102677, 71174, 32977, 104655, 50834, 33541, 9174, 53900, 102433, 17792, 29245, 249, 112586, 101557, 96, 115032, 17620, 5486, 37656, 102800, 102404, 79785, 16556, 103470, 111243, 108044, 78183, 76947, 114732, 115789, 57903, 33541, 1811, 103350, 48634, 127242, 72661, 38093, 87177, 29295, 13153, 31431, 80195, 76947, 103801, 16995, 5486, 115364, 104612, 33710, 26854, 114654, 48634, 20230, 95221, 114308, 20230, 47884, 16995, 38641, 9174, 103359, 117120, 25333, 103306, 5486, 104650, 106718, 29295, 43240, 29504, 108847, 26854, 102158, 48864, 104575, 20230, 104650, 48864, 54926, 112973, 33334, 125683, 62004, 38641, 1811, 114341, 104599, 29295, 102433, 17792, 110792, 38093, 87177, 20230, 101557, 96, 33121, 100481, 111243, 5486, 127177, 104650, 106718, 15682, 101557, 96, 33121, 126386, 17620, 55487, 101557, 106, 107001, 109335, 124897, 9174, 43240, 29504, 108847, 26854, 102158, 48864, 104575, 20230, 104650, 48864, 15024, 5486, 108882, 110993, 112535, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 30512, 18655, 104984, 5486, 114654, 48634, 29295, 110137, 102802, 101860, 20230, 104650, 48864, 29295, 105721, 78183, 30369, 109335, 111098, 76622, 102204, 33541, 9174, 106384, 37823, 70563, 16073, 15682, 102158, 48864, 104575, 71289, 114341, 104599, 29295, 43240, 9039, 48706, 78434, 29295, 120953, 120837, 64467, 106839, 48634, 122692, 104575, 104364, 9458, 121568, 104364, 15682, 102404, 21990, 78434, 1811, 103350, 104983, 20230, 104650, 48864, 39926, 107141, 101275, 114475, 124324, 19732, 17620, 124403, 115789, 43240, 47884, 5486, 102321, 30590, 16556, 102472, 26269, 71493, 37823, 54926, 115789, 101182, 117840, 9174, 115364, 22649, 101067, 19732, 108901, 109020, 104575, 71289, 114341, 104599, 30512, 111098, 105784, 102052, 5486, 40526, 47260, 101198, 30512, 121846, 117657, 112973, 33334, 125683, 62004, 38641, 1811, 103350, 104983, 20230, 104650, 48864, 56051, 107707, 99750, 101067, 29295, 17620, 117295, 103846, 5486, 104612, 33710, 26854, 64467, 106839, 48634, 71289, 107141, 101275, 16144, 103826, 45829, 30512, 102178, 111665, 125545, 9174, 108608, 103378, 104650, 48864, 112772, 104873, 115694, 108134, 110226, 43167, 15024, 5486, 108446, 50928, 56051, 17905, 16556, 104650, 48864, 30512, 104662, 64889, 103801, 109954, 9174, 106384, 37823, 70563, 113883, 102158, 48864, 104575, 102052, 64810, 101198, 22398, 80805, 33710, 47307, 71289, 22398, 80805, 33710, 47307, 102083, 100472, 47260, 61398, 32977, 48706, 78434, 1811, 22398, 80805, 33710, 47307, 107118, 58426, 13372, 16144, 121640, 5486, 114654, 48634, 122060, 16144, 113009, 16906, 111, 102800, 64467, 106839, 71289, 71493, 37823, 123283, 32131, 91062, 29295, 103214, 17129, 104028, 47260, 61398, 38641, 9174, 44915, 15682, 27452, 116285, 5486, 33671, 16144, 121640, 38641, 9174, 9953, 110195, 55031, 35330, 110195, 103296, 104575, 20230, 25906, 114, 50520, 108, 121894, 16556, 124563, 107188, 32149, 109739, 104369, 109335, 103082, 107515, 1811, 120523, 95221, 17620, 32977, 103868, 78183, 102334, 16995, 114754, 22398, 80805, 33710, 47307, 16144, 102158, 48864, 104575, 20230, 104650, 48864, 112990, 5486, 25197, 126989, 110792, 104603, 68581, 103830, 55031, 104650, 48864, 104654, 29295, 115200, 115737, 31431, 33541, 9174, 122617, 16144, 104575, 29295, 22398, 80805, 33710, 47307, 26854, 117735, 77181, 124897, 29295, 5486, 106384, 37823, 70563, 16073, 15682, 127177, 29504, 20230, 57106, 103854, 104533, 22398, 80805, 33710, 47307, 47260, 61398, 30512, 11883, 37689, 54926, 104575, 29295, 127181, 38641, 9174, 115364, 113173, 30512, 64531, 22649, 56051, 17905, 16556, 5486, 110526, 16144, 102158, 48864, 104575, 16144, 64467, 106839, 105335, 106696, 30512, 114140, 39926, 33334, 50834, 17129, 109954, 9174, 110382, 103296, 106384, 37823, 70563, 16073, 104650, 48864, 16144, 39850, 37823, 67075, 71289, 68408, 39850, 37823, 67075, 126130, 108044, 58942, 121256, 1811, 105994, 20230, 106384, 37823, 70563, 16073, 104650, 48864, 29295, 70141, 119188, 32149, 104405, 32149, 5486, 101182, 113314, 113954, 103082, 28713, 16144, 111769, 123253, 32149, 9174, 114626, 20230, 5486, 106384, 37823, 70563, 16073, 104650, 48864, 126130, 125683, 62004, 54926, 107707, 66378, 17599, 112, 30512, 123011, 62004, 79721, 9174, 126843, 106384, 37823, 70563, 16073, 15682, 53953, 95001, 29295, 51385, 102334, 62004, 5486, 104650, 48864, 106382, 11883, 15682, 127177, 29504, 105755, 51385, 47884, 109020, 101427, 122, 70141, 38641, 1811, 106382, 11883, 30512, 32335, 104622, 61826, 20230, 113727, 106956, 17792, 125030, 76947, 5486, 106384, 37823, 70563, 16073, 15682, 33334, 125683, 62004, 16144, 29504, 38641, 9174, 53900, 99849, 27479, 32149, 33334, 108044, 58942, 56051, 104466, 5486, 106384, 37823, 70563, 113883, 102158, 48864, 104575, 15682, 68759, 119495, 108941, 16073, 44971, 26269, 22398, 16073, 106644, 58942, 20230, 107141, 101275, 16556, 87177, 17663, 101513, 38093, 29295, 43240, 47884, 5486, 114654, 48634, 29295, 45736, 109709, 126172, 16995, 38641, 9174, 106649, 23538, 104650, 48864, 15682, 102404, 79785, 19732, 22398, 70563, 38248, 255, 94550, 20230, 58254, 252, 102204, 33541, 29295, 5486, 114654, 85707, 64209, 30046, 72661, 114654, 48634, 16144, 110137, 102802, 30512, 103350, 99750, 125545, 1811, 114341, 104599, 29295, 102433, 107707, 64467, 106839, 20230, 101557, 96, 115032, 102677, 68408, 39850, 37823, 67075, 32977, 57903, 33541, 29295, 5486, 114654, 85707, 64209, 30046, 125030, 76947, 15682, 51385, 64209, 108321, 121711, 33541, 9174, 17905, 61304, 119775, 114654, 123457, 110137, 81219, 56051, 16995, 17792, 5486, 106382, 11883, 30512, 126128, 58942, 106956, 116537, 106384, 37823, 70563, 16073, 104650, 48864, 30512, 111800, 118219, 39926, 64121, 38144, 72315, 101832, 9174, 53900, 110382, 103296, 30512, 98499, 104127, 5486, 106384, 37823, 70563, 16073, 20230, 109834, 103868, 114792, 38144, 104435, 17792, 32977, 107991, 32149, 106046, 61689, 109807, 126513, 33671, 16144, 29504, 119279, 125683, 62004, 38641, 1811, 95221, 108176, 24273, 15682, 102208, 122481, 30512, 48154, 111182, 72315, 9174, 22656, 75267, 16144, 25197, 104603, 112997, 114654, 30512, 48864, 103854, 30369, 198, 25197, 104603, 112997, 104650, 48864, 107118, 11571, 66378, 17599, 112, 19732, 39850, 37823, 67075, 9458, 68408, 39850, 37823, 67075, 30512, 17599, 117, 104792, 50338, 108323, 106609, 103927, 103202, 106826, 25197, 71289, 102756, 38248, 255, 94550, 103927, 37823, 68408, 11972, 16556, 102321, 30590, 104654, 30512, 33014, 111186, 108608, 198, 90962, 125913, 32131, 104612, 104650, 48864, 107118, 11571, 66378, 17599, 112, 19732, 39850, 37823, 67075, 9458, 68408, 39850, 37823, 67075, 30512, 17599, 117, 104792, 50338, 108323, 106609, 37271, 18904, 15682, 106384, 37823, 70563, 16073, 104650, 48864, 16144, 39850, 37823, 67075, 9458, 68408, 39850, 37823, 67075, 109853, 126362, 121256, 9174, 99849, 27479, 32149, 33334, 108044, 58942, 56051, 121640, 5486, 106384, 37823, 70563, 16073, 104650, 48864, 102052, 104650, 48864, 106382, 11883, 29295, 51385, 16995, 127359, 119495, 108941, 113883, 107141, 101275, 16556, 114654, 16144, 102404, 79785, 71289, 22398, 70563, 38248, 255, 94550, 29295, 96356, 20230, 47000, 47884, 5486, 30832, 112535, 40862, 100472, 104575, 102647, 102802, 29295, 108608, 102083, 100472, 66378, 17599, 112, 115991, 33541, 9174, 58426, 103846, 106382, 11883, 30512, 126128, 58942, 106956, 5486, 114654, 123457, 43167, 105363, 20230, 110137, 81219, 56051, 16995, 17792, 107898, 125683, 62004, 16144, 29504, 38641, 1811, 68408, 39850, 37823, 67075, 32977, 57903, 33541, 29295, 108048, 108422, 33121, 103359, 105226, 30512, 78698, 107290, 104575, 71289, 73597, 252, 19000, 61826, 30512, 102647, 103854, 81219, 27384, 112495, 46456, 108502, 15682, 124897, 9174, 37271, 18904, 16144, 77219, 30512, 121846, 20230, 5486, 106384, 37823, 70563, 16073, 104650, 48864, 30512, 111800, 118219, 39926, 64121, 38144, 72315, 101832, 9174, 53900, 104650 ]
[ 48864, 76739, 78767, 78349, 52414, 9458, 115592, 64178, 116294, 78525, 77181, 5486, 104650, 48864, 106613, 111186, 119515, 105469, 26854, 71493, 115691, 64810, 109554, 111848, 104650, 48864, 50021, 111813, 114475, 76622, 47000, 107441, 61689, 9174, 104575, 102647, 102802, 15682, 32977, 43514, 85791, 25827, 29504, 71289, 113949, 102647, 102802, 104309, 5486, 118789, 112535, 106384, 37823, 70563, 16073, 104650, 48864, 16144, 82420, 55723, 30512, 121697, 106956, 24273, 15682, 8429, 55031, 33334, 95221, 117355, 107898, 99397, 16995, 114146, 72315, 9174, 8429, 16556, 92693, 50021, 111813, 54926, 198, 16, 111299, 56965, 16144, 104650, 48864, 29295, 19, 110743, 95532, 106384, 37823, 70563, 16073, 104650, 48864, 77181, 107141, 101275, 42506, 5486, 73597, 252, 19000, 106382, 5486, 102456, 106382, 104526, 29295, 16, 111299, 56965, 19, 110743, 55031, 6447, 67016, 32977, 107141, 101275, 105335, 106696, 15682, 68759, 119495, 108941, 16073, 29295, 108729, 26854, 105879, 5486, 85707, 64209, 30046, 72661, 121771, 98369, 114654, 30512, 87177, 72342, 33541, 1811, 106384, 37823, 70563, 16073, 104650, 48864, 109853, 91774, 30369, 198, 91, 106384, 37823, 70563, 16073, 104650, 48864, 102472, 114265, 198, 33334, 102782, 121423, 16144, 17599, 117, 104792, 104650, 48864, 60868, 121057, 106609, 33334, 102782, 121423, 55031, 103350, 104983, 20230, 104650, 48864, 120650, 47884, 103296, 16144, 46034, 106307, 50834, 30512, 114363, 103722, 16144, 104650, 48864, 71493, 115691, 64810, 109554, 29295, 17599, 117, 104792, 60868, 121057, 102334, 78434, 106609, 46034, 9039, 111114, 16556, 104650, 48864, 106609, 115592, 64178, 116294, 78525, 105110, 33334, 102782, 121423, 108948, 91774, 108882, 111331, 104983, 16144, 104650, 48864, 60868, 121057, 46034, 9039, 42506, 71289, 113551, 72516, 46034, 9039, 42506, 29295, 37087, 38144, 92693, 38641, 106609, 33334, 95221, 117355, 107898, 99397, 16995, 114146, 72315, 9174, 114654, 48634, 122060, 106608, 110238, 118192, 108270, 52414, 198, 110191, 118372, 83947, 38093, 87177, 101275, 98220, 112366, 46034, 44971, 39880, 113909, 52884, 16144, 85707, 9953, 16, 35757, 29220, 25005, 251, 16073, 30512, 118192, 108270, 52414, 198, 29220, 44971, 76428, 67075, 123218, 16556, 104662, 111587, 88367, 198, 115592, 64178, 116294, 78525, 105110, 104650, 48864, 106382, 11883, 30512, 29220, 44971, 76428, 67075, 123218, 16556, 33334, 46456, 124237, 16995, 115962, 76622, 33541, 9174, 100437, 109467, 87177, 30512, 104655, 102532, 50021, 111813, 56051, 16995, 105110, 117093, 100437, 126843, 15682, 95221, 117355, 20230, 50021, 111813, 56051, 16995, 105110, 117093, 38093, 102351, 125104, 15682, 92693, 6447, 966, 47018, 16556, 47406, 35287, 78434, 9174, 88852, 16995, 101860, 33121, 116421, 41007, 16556, 38093, 102351, 125104, 39926, 72315, 9174, 110577, 20230, 38093, 102351, 125104, 119279, 111587, 64121, 120332, 15682, 117896, 55031, 77750, 76171, 125545, 1811, 128001, 128000, 14711, 115189, 223, 106053, 102351, 114940, 106053, 113245, 125478, 58721, 198, 114940, 106053, 102351, 114940, 106053, 16556, 5486, 806, 9953, 845, 117816, 102625, 113293, 106053, 104662, 115991, 79721, 9174, 101365, 106618, 101701, 116491, 220, 806, 9953, 1114, 9080, 108425, 103, 113569, 123746, 66953, 32131, 66953, 32131, 104195, 108055, 5232, 114940, 106053, 102351, 114940, 106053, 16556, 85707, 16144, 102625, 113293, 106053, 104662, 36896, 116043, 26955, 245, 16556, 108618, 84264, 238, 10646, 14, 109203, 113569, 30590, 114940, 198, 20713, 7705, 73028, 119, 113293, 106053, 104662, 198, 122571, 5486, 102625, 113293, 15682, 120111, 77181, 124897, 1811, 125821, 32977, 5486, 120111, 115389, 117201, 78244, 116285, 5486, 102717, 19732, 124592, 16144, 116537, 115389, 16995, 116787, 5486, 102625, 113293, 30512, 111681, 17663, 105933, 127688, 29295, 103470, 109020, 106592, 103192, 126559, 116497, 38641, 1811, 806, 9953, 845, 117073, 109203, 113569, 30590, 114940, 16144, 106053, 104662, 16144, 118331, 61398, 16556, 36896, 103851, 126014, 54926, 106592, 53508, 100, 62004, 106956, 66383, 114940, 106053, 102078, 29295, 43032, 103854, 28713, 100909, 102052, 121602, 50834, 79721, 1811, 92776, 43514, 5486, 107943, 117355, 104680, 102800, 122225, 16556, 102625, 113293, 30512, 107624, 104662, 56051, 104865, 110792, 28542, 38641, 1811, 67016, 32977, 5486, 122225, 75146, 107253, 103306, 105243, 58911, 75146, 107253, 30512, 105755, 67645, 107404, 20230, 56051, 19732, 57903, 33541, 9174, 15120, 107707, 51609, 30512, 127696, 30297, 110115, 5486, 107943, 118733, 57980, 16995, 120900, 32149, 106046, 61689, 1811, 107430, 101275, 114940, 106053, 102078, 16556, 100604, 100909, 55031, 5486, 105243, 58911, 75146, 107253, 125030, 33503, 126832, 109215, 15682, 104435, 116497, 38641, 124845, 5486, 105243, 58911, 75146, 107253, 30512, 43032, 103854, 28713, 111575, 114940, 106053, 104662, 16144, 2550, 15, 8107, 55031, 102625, 113293, 116043, 23039, 16144, 2550, 22, 116033, 57237, 30369, 103296, 16144, 105243, 58911, 102625, 113293, 9921, 248, 16144, 103198, 226, 16325, 16144, 115789, 114940, 106053, 102351, 15682, 53283, 30369, 105908, 103082, 28713, 1811, 113293, 30926, 15581, 108, 107118, 5486, 101307, 104698, 30046, 20230, 31640, 78183, 76947, 109095, 10414, 238, 30512, 30250, 224, 102639, 30369, 102944, 111769, 19732, 122571, 78698, 105262, 1811, 27452, 58942, 5486, 101307, 104698, 30046, 29295, 102625, 113293, 30512, 103192, 25827, 72661, 5486, 106699, 100927, 9554, 120195, 30369, 32149, 32977, 53283, 110615, 29295, 110901, 112568, 102052, 36827, 29504, 120650, 76947, 111654, 102800, 55031, 115408, 15682, 43568, 23538, 103435, 110, 107734, 30512, 36668, 105714, 121256, 115204, 102677, 121507, 32977, 101182, 119150, 1811, 53508, 123, 105242, 5486, 107624, 104760, 16144, 109243, 28741, 112212, 5486, 64209, 107809, 16556, 67016, 5486, 43032, 103854, 30369, 109335, 118765, 29295, 5486, 64209, 107809, 16556, 43032, 103854, 111243, 108044, 78183, 30369, 125396, 15682, 101182, 119150, 1811, 102625, 113293, 116043, 23039, 30512, 51609, 100204, 30369, 25333, 102781, 27384, 113524, 71289, 102625, 113293, 116043, 23039, 102078, 15682, 46091, 112607, 17620, 80195, 16144, 116043, 23039, 101513, 97518, 124911, 116787, 5486, 114940, 106053, 102351, 15682, 102625, 113293, 16144, 122074, 114556, 58318, 30512, 103792, 106592, 112727, 106824, 15682, 105110, 100604, 119150, 1811, 102433, 29504, 107063, 110, 25333, 30537, 806, 40089, 16144, 108729, 104123, 112607, 15682, 5486, 30358, 16995, 119150, 9174, 30537, 806, 40089, 103774, 70821, 15682, 5486, 122617, 16144, 108729, 104123, 112607, 16144, 72843, 19361, 30512, 100525, 101, 102639, 102204, 100604, 113637, 107063, 110, 25333, 29295, 29504, 70821, 20230, 118788, 54926, 108729, 104123, 112607, 15682, 5486, 117976, 17663, 100909, 16144, 118765, 124428, 16144, 112607, 60632, 103306, 5486, 112599, 127253, 45163, 37507, 16144, 29504, 70821, 20230, 58318, 102416, 110071, 1811, 220, 25963, 7705, 126333, 8107, 127688, 198, 113587, 127688, 15682, 5486, 114940, 106053, 102351, 114940, 106053, 29295, 109431, 102769, 26854, 120900, 32149, 19732, 107750, 99397, 30512, 110794, 33541, 9174, 103232, 49409, 17039, 78943, 220, 806, 9953, 508, 9080, 126333, 8107, 13177, 16906, 111, 102800, 117120, 15581, 108, 30512, 10646, 32386, 255, 108789, 16144, 112661, 56965, 5486, 91875, 21441, 118, 32977, 112656, 112959, 34617, 17792, 108055, 114218, 198, 113587, 16144, 101307, 58655, 113115, 54926, 102625, 113293, 32018, 113293, 38641, 1811, 108031, 15120, 59739, 5486, 113587, 58721, 16144, 114940, 106053, 30512, 19012, 110, 102639, 33541, 9174, 119046, 2618, 220, 806, 9953, 777, 9080, 110927, 104297, 21990, 110456, 108055, 16556, 16937, 23187, 23538, 113293, 32018, 113293, 102601, 230, 103424, 30590, 114940, 5486, 114940, 106053, 102351, 114940, 106053, 198, 113587, 10110, 508, 97049, 20230, 112624, 28713, 100604, 30046, 29295, 109638, 40265, 15024, 5486, 58850, 32977, 113587, 38641, 1811, 7705, 16144, 113293, 30926, 58721, 109853, 15682, 113587, 25333, 29295, 126543, 84389, 5486, 113587, 25333, 508, 40089, 20230, 33671, 16144, 23187, 62004, 115991, 33541, 113637, 508, 40089, 112212, 111800, 105085, 37705, 105260, 119012, 126513, 5486, 53229, 108630, 72718, 126014, 121711, 5486, 125478, 58721, 16144, 126513, 114940, 106053, 102351, 114305, 111848, 114940, 106053, 121711, 33541, 9174, 30537, 508, 40089, 111279, 107983, 114940, 106053, 32938, 15682, 5486, 102625, 113293, 5486, 103435, 110, 107734, 102420, 15682, 108493, 91779, 106, 20230, 40265, 28713, 30369, 108789, 16144, 58721, 109853, 5486, 104873, 112984, 16144, 113702, 106116, 108789, 105284, 127253, 40474, 103397, 20230, 102867, 33503, 39926, 113293, 30926, 117120, 17620, 30512, 120019, 19732, 104736, 62004, 104533, 50834, 15682, 5486, 122074, 30512, 32977, 59739, 38144, 115847, 30512, 36651, 15568, 226, 106848, 114940, 106053, 32938, 113115, 106608, 54926, 111800, 105085, 11795, 223, 16144, 111800, 105085, 102078, 20230, 37705, 105260, 21105, 103, 118145, 105110, 100604, 1811, 220, 25963, 107698, 105904, 16144, 106045, 23187, 112649, 124233, 121140, 5486, 118006, 114940, 106053, 32938, 15682, 5486, 104604, 37689, 16144, 127688, 23039, 101399, 112212, 101307, 104698, 30046, 30512, 121993, 107726, 28713, 108789, 16144, 58721, 127303, 59739, 38144, 106116, 108789, 30512, 109373, 17663, 110018, 120850, 97049, 71689, 16144, 113587, 20230, 108826, 30369, 102944, 109853, 15682, 5486, 42016, 105904, 16144, 122074, 30512, 21105, 103, 118145, 105110, 100604, 1811, 90620, 15024, 5486, 104873, 112984, 16144, 113702, 5486, 109373, 23039, 16144, 91875, 101513, 127253, 107328, 103826, 5486, 109373, 23039, 123470, 40474, 109369, 5486, 113587, 16144, 34171, 35083, 5486, 8107, 106036, 95, 5486, 23039, 103397, 127253, 117501, 114950, 16144, 115517, 30512, 78698, 101557, 106, 15024, 5486, 113293, 30926, 117120, 17620, 116749, 16144, 116876, 22324, 30512, 120019, 19732, 104736, 62004, 104533, 50834, 15682, 110371, 48249, 31431, 16556, 100604, 9174, 113587, 25333, 15682, 5486, 113587, 16144, 114940, 106053, 20230, 40265, 115926, 5486, 30537, 1135, 40089, 16556, 30537, 24, 40089, 16144, 110999, 6079, 101, 20230, 123532, 30297, 106592, 32018, 107436, 61689, 9174, 53900, 5486, 113587, 25333, 15682, 5486, 30537, 2131, 40089, 16556, 114940, 106053, 32938, 29295, 123050, 117120, 17620, 20230, 47000, 54926, 124122, 118006, 114940, 106053, 32938, 111363, 60634, 37705, 122074, 32977, 57903, 50928, 30369, 106592, 23187, 107436, 61689, 9174, 30537, 2131, 40089, 115189, 223, 106053, 32938, 15682, 5486, 30926, 103350, 117859, 22649, 16144, 113702, 5486, 113587, 16144, 101307, 58655, 17792, 30512, 123050, 117120, 17620, 20230, 47000, 54926, 112973, 120019, 103195, 19732, 104736, 62004, 104533, 50834, 15682, 5486, 122074, 30512, 32977, 59739, 38144, 5486, 58721, 30512, 118006, 114940, 106053, 32938, 20230, 60634, 37705, 21105, 103, 118145, 105110, 100604, 9174, 106618, 103424, 30590, 114940, 16144, 114940, 106053, 16556, 13870, 223, 106528, 110366, 15682, 13177, 64209, 101365, 120225, 112294, 103351, 104468, 31958, 33503, 32149, 1811, 46729, 114940, 20230, 60634, 37705, 74482, 5486, 103242, 109519, 113587, 94923, 111363, 110226, 37729, 30512, 103192, 104004, 66383, 43032, 115694, 61689, 1811, 113587, 58721, 15682, 5486, 109242, 122202, 26854, 124858, 114792, 103836, 105908, 127181, 1811, 113587, 25333, 30537, 24, 40089, 16144, 110999, 6079, 101, 20230, 123532, 16995, 82973, 119707, 107441, 117859, 22649, 123410, 112973, 114652, 5486, 114940, 106053, 102351, 114940, 106053, 102052, 16937, 70141, 50834, 36785, 106046, 61689, 1811, 105243, 58911, 58721, 16144, 105243, 58911, 108630, 101908, 32977, 113587, 16556, 108055, 17792, 30512, 109373, 15024, 5486, 11589, 106, 115232, 39177, 777, 97049, 605, 9953, 16556, 56051, 115397, 117859, 109860, 19732, 68408, 47307, 32131, 39850, 72661, 57980, 16995, 107118, 26854, 31431, 107515, 9174, 34617, 7705, 123070, 58655, 33476, 104736, 198, 114940, 106053, 102351, 114940, 106053, 72661, 101307, 58655, 33476, 104736, 58721, 15682, 57903, 33541, 9174, 59563, 102433, 116491, 220, 806, 9953, 17, 9080, 126443, 123, 116581, 102687, 23530, 9458, 92877, 101908, 122924, 104195, 108055, 85707, 35417, 106053, 45631, 37087, 47884, 53283, 110104, 66383, 101307, 58655, 198, 114940, 106053, 102351, 125030, 76947, 27384, 104721, 77181, 57903, 33541, 29295, 5486, 115364, 103424, 109375, 20230, 123532, 76947, 120953, 104405, 19732, 122225, 30512, 17297, 72342, 81219, 57980, 16995, 106046, 61689, 1811, 107750, 78183, 21105, 235, 15682, 101307, 58655, 107707, 19361, 60632, 117408, 53229, 108630, 30512, 106154, 30369, 100909, 36785, 106046, 61689, 1811, 110241, 5486, 101307, 58655, 114754, 103001, 246, 116825, 119188, 19732, 122225, 103082, 104984, 5486, 19361, 108789, 19732, 15024, 33857, 113293, 30512, 122225, 54926, 9174, 91, 50702, 118, 23187, 116974, 128001, 128000, 14711, 104932, 106390, 114754, 61786, 106390, 127557, 30512, 102446, 116340, 54926, 100909, 5486, 104655, 47884, 100909, 198, 10110, 120019, 23897, 112772, 102181, 108895, 106046, 76947, 17297, 102181, 50834, 30512, 102181, 16995, 101732, 77219, 119627, 114318, 31431, 30591, 58942, 101860, 122060, 78434, 1811, 23954, 31809, 119506, 109568, 104945, 123160, 76706, 109526, 235, 112212, 123085, 114754, 125559, 16556, 61786, 106390, 107059, 57207, 48552, 127557, 30512, 102446, 116340, 54926, 109335, 40265, 115926, 123628, 101200, 115717, 5486, 47043, 103306, 16144, 6620, 32977, 37087, 106901, 16073, 114615, 105525, 31431, 109415, 16144, 28713, 100472, 16, 4, 113314, 107118, 16995, 58942, 5486, 47260, 39880, 26854, 107059, 57207, 48552, 127557, 104774, 113883, 48706, 112212, 5486, 39850, 102472, 71634, 39880, 16144, 107059, 57207, 48552, 127557, 118347, 61398, 15682, 107188, 31431, 119448, 16995, 1811, 105994, 29295, 97518, 64209, 107407, 55031, 32149, 32977, 53283, 110615, 29295, 5486, 118823, 17905, 72661, 43240, 119064, 107059, 57207, 48552, 116229, 29295, 103768, 112167, 110731, 118855, 5486, 116491, 72661, 107059, 57207, 48552, 127557, 16144, 109713, 60868, 84477, 16144, 108285, 58655, 77219, 104309, 5486, 120019, 16144, 118347, 61398, 30512, 108928, 109315, 105908, 101182, 9174, 32977, 107173, 19732, 5486, 17161, 31958, 87447, 33208, 23897, 104989, 16144, 102433, 16144, 127557, 104378, 37026, 33014, 29295, 5486, 61786, 106390, 127557, 16144, 115201, 17701, 5486, 33420, 33208, 113468, 13153, 31431, 80195, 76947, 124284, 113334, 16556, 106116, 127177, 17620, 102212, 42016, 103826, 5486, 104862, 108064, 76622, 104862, 16995, 104087, 72342, 29295, 22398, 42634, 38248, 105, 16073, 103351, 109807, 102097, 105189, 29295, 5486, 116229, 65299, 39850, 102741, 105404, 19732, 58426, 103722, 17297, 21990, 126027, 76706, 109526, 235, 26854, 120900, 9174, 106518, 101275, 125981, 23897, 104989, 5486, 61786, 106390, 17161, 31958, 29295, 37087, 102616, 30512, 117633, 16995, 107542, 47884, 103792, 59459, 15120, 24273, 77181, 36896 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 48864, 76739, 78767, 78349, 52414, 9458, 115592, 64178, 116294, 78525, 77181, 5486, 104650, 48864, 106613, 111186, 119515, 105469, 26854, 71493, 115691, 64810, 109554, 111848, 104650, 48864, 50021, 111813, 114475, 76622, 47000, 107441, 61689, 9174, 104575, 102647, 102802, 15682, 32977, 43514, 85791, 25827, 29504, 71289, 113949, 102647, 102802, 104309, 5486, 118789, 112535, 106384, 37823, 70563, 16073, 104650, 48864, 16144, 82420, 55723, 30512, 121697, 106956, 24273, 15682, 8429, 55031, 33334, 95221, 117355, 107898, 99397, 16995, 114146, 72315, 9174, 8429, 16556, 92693, 50021, 111813, 54926, 198, 16, 111299, 56965, 16144, 104650, 48864, 29295, 19, 110743, 95532, 106384, 37823, 70563, 16073, 104650, 48864, 77181, 107141, 101275, 42506, 5486, 73597, 252, 19000, 106382, 5486, 102456, 106382, 104526, 29295, 16, 111299, 56965, 19, 110743, 55031, 6447, 67016, 32977, 107141, 101275, 105335, 106696, 15682, 68759, 119495, 108941, 16073, 29295, 108729, 26854, 105879, 5486, 85707, 64209, 30046, 72661, 121771, 98369, 114654, 30512, 87177, 72342, 33541, 1811, 106384, 37823, 70563, 16073, 104650, 48864, 109853, 91774, 30369, 198, 91, 106384, 37823, 70563, 16073, 104650, 48864, 102472, 114265, 198, 33334, 102782, 121423, 16144, 17599, 117, 104792, 104650, 48864, 60868, 121057, 106609, 33334, 102782, 121423, 55031, 103350, 104983, 20230, 104650, 48864, 120650, 47884, 103296, 16144, 46034, 106307, 50834, 30512, 114363, 103722, 16144, 104650, 48864, 71493, 115691, 64810, 109554, 29295, 17599, 117, 104792, 60868, 121057, 102334, 78434, 106609, 46034, 9039, 111114, 16556, 104650, 48864, 106609, 115592, 64178, 116294, 78525, 105110, 33334, 102782, 121423, 108948, 91774, 108882, 111331, 104983, 16144, 104650, 48864, 60868, 121057, 46034, 9039, 42506, 71289, 113551, 72516, 46034, 9039, 42506, 29295, 37087, 38144, 92693, 38641, 106609, 33334, 95221, 117355, 107898, 99397, 16995, 114146, 72315, 9174, 114654, 48634, 122060, 106608, 110238, 118192, 108270, 52414, 198, 110191, 118372, 83947, 38093, 87177, 101275, 98220, 112366, 46034, 44971, 39880, 113909, 52884, 16144, 85707, 9953, 16, 35757, 29220, 25005, 251, 16073, 30512, 118192, 108270, 52414, 198, 29220, 44971, 76428, 67075, 123218, 16556, 104662, 111587, 88367, 198, 115592, 64178, 116294, 78525, 105110, 104650, 48864, 106382, 11883, 30512, 29220, 44971, 76428, 67075, 123218, 16556, 33334, 46456, 124237, 16995, 115962, 76622, 33541, 9174, 100437, 109467, 87177, 30512, 104655, 102532, 50021, 111813, 56051, 16995, 105110, 117093, 100437, 126843, 15682, 95221, 117355, 20230, 50021, 111813, 56051, 16995, 105110, 117093, 38093, 102351, 125104, 15682, 92693, 6447, 966, 47018, 16556, 47406, 35287, 78434, 9174, 88852, 16995, 101860, 33121, 116421, 41007, 16556, 38093, 102351, 125104, 39926, 72315, 9174, 110577, 20230, 38093, 102351, 125104, 119279, 111587, 64121, 120332, 15682, 117896, 55031, 77750, 76171, 125545, 1811, 128001, 128000, 14711, 115189, 223, 106053, 102351, 114940, 106053, 113245, 125478, 58721, 198, 114940, 106053, 102351, 114940, 106053, 16556, 5486, 806, 9953, 845, 117816, 102625, 113293, 106053, 104662, 115991, 79721, 9174, 101365, 106618, 101701, 116491, 220, 806, 9953, 1114, 9080, 108425, 103, 113569, 123746, 66953, 32131, 66953, 32131, 104195, 108055, 5232, 114940, 106053, 102351, 114940, 106053, 16556, 85707, 16144, 102625, 113293, 106053, 104662, 36896, 116043, 26955, 245, 16556, 108618, 84264, 238, 10646, 14, 109203, 113569, 30590, 114940, 198, 20713, 7705, 73028, 119, 113293, 106053, 104662, 198, 122571, 5486, 102625, 113293, 15682, 120111, 77181, 124897, 1811, 125821, 32977, 5486, 120111, 115389, 117201, 78244, 116285, 5486, 102717, 19732, 124592, 16144, 116537, 115389, 16995, 116787, 5486, 102625, 113293, 30512, 111681, 17663, 105933, 127688, 29295, 103470, 109020, 106592, 103192, 126559, 116497, 38641, 1811, 806, 9953, 845, 117073, 109203, 113569, 30590, 114940, 16144, 106053, 104662, 16144, 118331, 61398, 16556, 36896, 103851, 126014, 54926, 106592, 53508, 100, 62004, 106956, 66383, 114940, 106053, 102078, 29295, 43032, 103854, 28713, 100909, 102052, 121602, 50834, 79721, 1811, 92776, 43514, 5486, 107943, 117355, 104680, 102800, 122225, 16556, 102625, 113293, 30512, 107624, 104662, 56051, 104865, 110792, 28542, 38641, 1811, 67016, 32977, 5486, 122225, 75146, 107253, 103306, 105243, 58911, 75146, 107253, 30512, 105755, 67645, 107404, 20230, 56051, 19732, 57903, 33541, 9174, 15120, 107707, 51609, 30512, 127696, 30297, 110115, 5486, 107943, 118733, 57980, 16995, 120900, 32149, 106046, 61689, 1811, 107430, 101275, 114940, 106053, 102078, 16556, 100604, 100909, 55031, 5486, 105243, 58911, 75146, 107253, 125030, 33503, 126832, 109215, 15682, 104435, 116497, 38641, 124845, 5486, 105243, 58911, 75146, 107253, 30512, 43032, 103854, 28713, 111575, 114940, 106053, 104662, 16144, 2550, 15, 8107, 55031, 102625, 113293, 116043, 23039, 16144, 2550, 22, 116033, 57237, 30369, 103296, 16144, 105243, 58911, 102625, 113293, 9921, 248, 16144, 103198, 226, 16325, 16144, 115789, 114940, 106053, 102351, 15682, 53283, 30369, 105908, 103082, 28713, 1811, 113293, 30926, 15581, 108, 107118, 5486, 101307, 104698, 30046, 20230, 31640, 78183, 76947, 109095, 10414, 238, 30512, 30250, 224, 102639, 30369, 102944, 111769, 19732, 122571, 78698, 105262, 1811, 27452, 58942, 5486, 101307, 104698, 30046, 29295, 102625, 113293, 30512, 103192, 25827, 72661, 5486, 106699, 100927, 9554, 120195, 30369, 32149, 32977, 53283, 110615, 29295, 110901, 112568, 102052, 36827, 29504, 120650, 76947, 111654, 102800, 55031, 115408, 15682, 43568, 23538, 103435, 110, 107734, 30512, 36668, 105714, 121256, 115204, 102677, 121507, 32977, 101182, 119150, 1811, 53508, 123, 105242, 5486, 107624, 104760, 16144, 109243, 28741, 112212, 5486, 64209, 107809, 16556, 67016, 5486, 43032, 103854, 30369, 109335, 118765, 29295, 5486, 64209, 107809, 16556, 43032, 103854, 111243, 108044, 78183, 30369, 125396, 15682, 101182, 119150, 1811, 102625, 113293, 116043, 23039, 30512, 51609, 100204, 30369, 25333, 102781, 27384, 113524, 71289, 102625, 113293, 116043, 23039, 102078, 15682, 46091, 112607, 17620, 80195, 16144, 116043, 23039, 101513, 97518, 124911, 116787, 5486, 114940, 106053, 102351, 15682, 102625, 113293, 16144, 122074, 114556, 58318, 30512, 103792, 106592, 112727, 106824, 15682, 105110, 100604, 119150, 1811, 102433, 29504, 107063, 110, 25333, 30537, 806, 40089, 16144, 108729, 104123, 112607, 15682, 5486, 30358, 16995, 119150, 9174, 30537, 806, 40089, 103774, 70821, 15682, 5486, 122617, 16144, 108729, 104123, 112607, 16144, 72843, 19361, 30512, 100525, 101, 102639, 102204, 100604, 113637, 107063, 110, 25333, 29295, 29504, 70821, 20230, 118788, 54926, 108729, 104123, 112607, 15682, 5486, 117976, 17663, 100909, 16144, 118765, 124428, 16144, 112607, 60632, 103306, 5486, 112599, 127253, 45163, 37507, 16144, 29504, 70821, 20230, 58318, 102416, 110071, 1811, 220, 25963, 7705, 126333, 8107, 127688, 198, 113587, 127688, 15682, 5486, 114940, 106053, 102351, 114940, 106053, 29295, 109431, 102769, 26854, 120900, 32149, 19732, 107750, 99397, 30512, 110794, 33541, 9174, 103232, 49409, 17039, 78943, 220, 806, 9953, 508, 9080, 126333, 8107, 13177, 16906, 111, 102800, 117120, 15581, 108, 30512, 10646, 32386, 255, 108789, 16144, 112661, 56965, 5486, 91875, 21441, 118, 32977, 112656, 112959, 34617, 17792, 108055, 114218, 198, 113587, 16144, 101307, 58655, 113115, 54926, 102625, 113293, 32018, 113293, 38641, 1811, 108031, 15120, 59739, 5486, 113587, 58721, 16144, 114940, 106053, 30512, 19012, 110, 102639, 33541, 9174, 119046, 2618, 220, 806, 9953, 777, 9080, 110927, 104297, 21990, 110456, 108055, 16556, 16937, 23187, 23538, 113293, 32018, 113293, 102601, 230, 103424, 30590, 114940, 5486, 114940, 106053, 102351, 114940, 106053, 198, 113587, 10110, 508, 97049, 20230, 112624, 28713, 100604, 30046, 29295, 109638, 40265, 15024, 5486, 58850, 32977, 113587, 38641, 1811, 7705, 16144, 113293, 30926, 58721, 109853, 15682, 113587, 25333, 29295, 126543, 84389, 5486, 113587, 25333, 508, 40089, 20230, 33671, 16144, 23187, 62004, 115991, 33541, 113637, 508, 40089, 112212, 111800, 105085, 37705, 105260, 119012, 126513, 5486, 53229, 108630, 72718, 126014, 121711, 5486, 125478, 58721, 16144, 126513, 114940, 106053, 102351, 114305, 111848, 114940, 106053, 121711, 33541, 9174, 30537, 508, 40089, 111279, 107983, 114940, 106053, 32938, 15682, 5486, 102625, 113293, 5486, 103435, 110, 107734, 102420, 15682, 108493, 91779, 106, 20230, 40265, 28713, 30369, 108789, 16144, 58721, 109853, 5486, 104873, 112984, 16144, 113702, 106116, 108789, 105284, 127253, 40474, 103397, 20230, 102867, 33503, 39926, 113293, 30926, 117120, 17620, 30512, 120019, 19732, 104736, 62004, 104533, 50834, 15682, 5486, 122074, 30512, 32977, 59739, 38144, 115847, 30512, 36651, 15568, 226, 106848, 114940, 106053, 32938, 113115, 106608, 54926, 111800, 105085, 11795, 223, 16144, 111800, 105085, 102078, 20230, 37705, 105260, 21105, 103, 118145, 105110, 100604, 1811, 220, 25963, 107698, 105904, 16144, 106045, 23187, 112649, 124233, 121140, 5486, 118006, 114940, 106053, 32938, 15682, 5486, 104604, 37689, 16144, 127688, 23039, 101399, 112212, 101307, 104698, 30046, 30512, 121993, 107726, 28713, 108789, 16144, 58721, 127303, 59739, 38144, 106116, 108789, 30512, 109373, 17663, 110018, 120850, 97049, 71689, 16144, 113587, 20230, 108826, 30369, 102944, 109853, 15682, 5486, 42016, 105904, 16144, 122074, 30512, 21105, 103, 118145, 105110, 100604, 1811, 90620, 15024, 5486, 104873, 112984, 16144, 113702, 5486, 109373, 23039, 16144, 91875, 101513, 127253, 107328, 103826, 5486, 109373, 23039, 123470, 40474, 109369, 5486, 113587, 16144, 34171, 35083, 5486, 8107, 106036, 95, 5486, 23039, 103397, 127253, 117501, 114950, 16144, 115517, 30512, 78698, 101557, 106, 15024, 5486, 113293, 30926, 117120, 17620, 116749, 16144, 116876, 22324, 30512, 120019, 19732, 104736, 62004, 104533, 50834, 15682, 110371, 48249, 31431, 16556, 100604, 9174, 113587, 25333, 15682, 5486, 113587, 16144, 114940, 106053, 20230, 40265, 115926, 5486, 30537, 1135, 40089, 16556, 30537, 24, 40089, 16144, 110999, 6079, 101, 20230, 123532, 30297, 106592, 32018, 107436, 61689, 9174, 53900, 5486, 113587, 25333, 15682, 5486, 30537, 2131, 40089, 16556, 114940, 106053, 32938, 29295, 123050, 117120, 17620, 20230, 47000, 54926, 124122, 118006, 114940, 106053, 32938, 111363, 60634, 37705, 122074, 32977, 57903, 50928, 30369, 106592, 23187, 107436, 61689, 9174, 30537, 2131, 40089, 115189, 223, 106053, 32938, 15682, 5486, 30926, 103350, 117859, 22649, 16144, 113702, 5486, 113587, 16144, 101307, 58655, 17792, 30512, 123050, 117120, 17620, 20230, 47000, 54926, 112973, 120019, 103195, 19732, 104736, 62004, 104533, 50834, 15682, 5486, 122074, 30512, 32977, 59739, 38144, 5486, 58721, 30512, 118006, 114940, 106053, 32938, 20230, 60634, 37705, 21105, 103, 118145, 105110, 100604, 9174, 106618, 103424, 30590, 114940, 16144, 114940, 106053, 16556, 13870, 223, 106528, 110366, 15682, 13177, 64209, 101365, 120225, 112294, 103351, 104468, 31958, 33503, 32149, 1811, 46729, 114940, 20230, 60634, 37705, 74482, 5486, 103242, 109519, 113587, 94923, 111363, 110226, 37729, 30512, 103192, 104004, 66383, 43032, 115694, 61689, 1811, 113587, 58721, 15682, 5486, 109242, 122202, 26854, 124858, 114792, 103836, 105908, 127181, 1811, 113587, 25333, 30537, 24, 40089, 16144, 110999, 6079, 101, 20230, 123532, 16995, 82973, 119707, 107441, 117859, 22649, 123410, 112973, 114652, 5486, 114940, 106053, 102351, 114940, 106053, 102052, 16937, 70141, 50834, 36785, 106046, 61689, 1811, 105243, 58911, 58721, 16144, 105243, 58911, 108630, 101908, 32977, 113587, 16556, 108055, 17792, 30512, 109373, 15024, 5486, 11589, 106, 115232, 39177, 777, 97049, 605, 9953, 16556, 56051, 115397, 117859, 109860, 19732, 68408, 47307, 32131, 39850, 72661, 57980, 16995, 107118, 26854, 31431, 107515, 9174, 34617, 7705, 123070, 58655, 33476, 104736, 198, 114940, 106053, 102351, 114940, 106053, 72661, 101307, 58655, 33476, 104736, 58721, 15682, 57903, 33541, 9174, 59563, 102433, 116491, 220, 806, 9953, 17, 9080, 126443, 123, 116581, 102687, 23530, 9458, 92877, 101908, 122924, 104195, 108055, 85707, 35417, 106053, 45631, 37087, 47884, 53283, 110104, 66383, 101307, 58655, 198, 114940, 106053, 102351, 125030, 76947, 27384, 104721, 77181, 57903, 33541, 29295, 5486, 115364, 103424, 109375, 20230, 123532, 76947, 120953, 104405, 19732, 122225, 30512, 17297, 72342, 81219, 57980, 16995, 106046, 61689, 1811, 107750, 78183, 21105, 235, 15682, 101307, 58655, 107707, 19361, 60632, 117408, 53229, 108630, 30512, 106154, 30369, 100909, 36785, 106046, 61689, 1811, 110241, 5486, 101307, 58655, 114754, 103001, 246, 116825, 119188, 19732, 122225, 103082, 104984, 5486, 19361, 108789, 19732, 15024, 33857, 113293, 30512, 122225, 54926, 9174, 91, 50702, 118, 23187, 116974, 128001, 128000, 14711, 104932, 106390, 114754, 61786, 106390, 127557, 30512, 102446, 116340, 54926, 100909, 5486, 104655, 47884, 100909, 198, 10110, 120019, 23897, 112772, 102181, 108895, 106046, 76947, 17297, 102181, 50834, 30512, 102181, 16995, 101732, 77219, 119627, 114318, 31431, 30591, 58942, 101860, 122060, 78434, 1811, 23954, 31809, 119506, 109568, 104945, 123160, 76706, 109526, 235, 112212, 123085, 114754, 125559, 16556, 61786, 106390, 107059, 57207, 48552, 127557, 30512, 102446, 116340, 54926, 109335, 40265, 115926, 123628, 101200, 115717, 5486, 47043, 103306, 16144, 6620, 32977, 37087, 106901, 16073, 114615, 105525, 31431, 109415, 16144, 28713, 100472, 16, 4, 113314, 107118, 16995, 58942, 5486, 47260, 39880, 26854, 107059, 57207, 48552, 127557, 104774, 113883, 48706, 112212, 5486, 39850, 102472, 71634, 39880, 16144, 107059, 57207, 48552, 127557, 118347, 61398, 15682, 107188, 31431, 119448, 16995, 1811, 105994, 29295, 97518, 64209, 107407, 55031, 32149, 32977, 53283, 110615, 29295, 5486, 118823, 17905, 72661, 43240, 119064, 107059, 57207, 48552, 116229, 29295, 103768, 112167, 110731, 118855, 5486, 116491, 72661, 107059, 57207, 48552, 127557, 16144, 109713, 60868, 84477, 16144, 108285, 58655, 77219, 104309, 5486, 120019, 16144, 118347, 61398, 30512, 108928, 109315, 105908, 101182, 9174, 32977, 107173, 19732, 5486, 17161, 31958, 87447, 33208, 23897, 104989, 16144, 102433, 16144, 127557, 104378, 37026, 33014, 29295, 5486, 61786, 106390, 127557, 16144, 115201, 17701, 5486, 33420, 33208, 113468, 13153, 31431, 80195, 76947, 124284, 113334, 16556, 106116, 127177, 17620, 102212, 42016, 103826, 5486, 104862, 108064, 76622, 104862, 16995, 104087, 72342, 29295, 22398, 42634, 38248, 105, 16073, 103351, 109807, 102097, 105189, 29295, 5486, 116229, 65299, 39850, 102741, 105404, 19732, 58426, 103722, 17297, 21990, 126027, 76706, 109526, 235, 26854, 120900, 9174, 106518, 101275, 125981, 23897, 104989, 5486, 61786, 106390, 17161, 31958, 29295, 37087, 102616, 30512, 117633, 16995, 107542, 47884, 103792, 59459, 15120, 24273, 77181, 36896 ]
[ 17161, 31958, 16144, 127852, 104584, 10646, 104309, 102677, 105908, 117952, 33121, 5486, 61786, 106390, 17161, 31958, 19732, 112900, 32131, 91062, 17161, 31958, 16144, 103359, 80195, 29295, 106266, 106624, 26854, 103836, 1811, 7705, 58426, 16325, 16556, 5486, 61786, 106390, 17161, 31958, 33208, 56051, 102321, 31640, 102433, 116537, 5486, 105994, 29295, 61786, 106390, 17161, 31958, 30512, 72843, 101682, 54926, 109335, 117864, 47884, 16937, 91763, 104760, 20230, 91763, 78183, 100604, 1811, 104959, 55139, 16144, 113949, 30512, 120523, 112990, 5486, 112690, 16144, 109606, 15682, 101182, 116446, 32977, 5486, 9080, 40053, 104654, 77181, 102717, 19732, 124592, 108010, 34208, 99750, 30512, 112391, 100604, 29295, 5486, 104004, 15024, 85791, 102433, 16144, 101129, 63105, 236, 71289, 59795, 16144, 106848, 113949, 120650, 47884, 24273, 29295, 5486, 16937, 102924, 30512, 112391, 30369, 109900, 103378, 5486, 9080, 40053, 29295, 61786, 106390, 33208, 103792, 120900, 9174, 127557, 15682, 102616, 16144, 55999, 33035, 78244, 102158, 36785, 102677, 5486, 105465, 36827, 109904, 104736, 109375, 107407, 29295, 5486, 126920, 102131, 108995, 32149, 11571, 102616, 102677, 104468, 5486, 61786, 106390, 17161, 31958, 16144, 100909, 111769, 120900, 32149, 11571, 106581, 27384, 125981, 113146, 16144, 59795, 15682, 32977, 19732, 105755, 5486, 112900, 32131, 91062, 12554, 237, 77181, 5486, 61786, 106390, 127557, 16144, 102446, 116340, 29295, 5486, 106699, 100927, 109904, 114667, 55031, 124260, 107001, 115789, 101182, 19732, 104655, 47884, 9174, 60358, 8107, 115408, 16144, 99750, 112854, 77181, 120268, 119506, 109568, 104945, 5486, 32943, 101129, 101426, 45829, 5486, 112673, 11972, 9458, 112673, 11972, 120456, 5486, 78525, 113649, 16073, 9458, 39850, 108337, 10110, 76171, 45923, 39276, 26854, 105879, 47260, 38248, 104, 102741, 114265, 108995, 29295, 65459, 76208, 102687, 64121, 67645, 31431, 104309, 15682, 5486, 102321, 31640, 16144, 107059, 57207, 48552, 127557, 98220, 77181, 91482, 115432, 102750, 103202, 16144, 101778, 106390, 20834, 96356, 30046, 103195, 29295, 119568, 120577, 102446, 116340, 55031, 101682, 105784, 118331, 39880, 107446, 29295, 5486, 42016, 101083, 31640, 16144, 61786, 106390, 20834, 96356, 16144, 106691, 109904, 102446, 116340, 46729, 117758, 118331, 39880, 107446, 19732, 50034, 115590, 20230, 108901, 109020, 104466, 112391, 30369, 101200, 101983, 103836, 1811, 32943, 101129, 101426, 45829, 104309, 15682, 5486, 114672, 107060, 101662, 43514, 16556, 112673, 118517, 26269, 80805, 16556, 104378, 114475, 76622, 5486, 112673, 118517, 26269, 80805, 16556, 27384, 13153, 56051, 102446, 116340, 46729, 109846, 5486, 109453, 116907, 104067, 30046, 26854, 102433, 102158, 30512, 116826, 103854, 30369, 115789, 57903, 5486, 118331, 39880, 107446, 28190, 77181, 102433, 109904, 102944, 30512, 112391, 30369, 9174, 127557, 29295, 96412, 19361, 54926, 39850, 26269, 64810, 78767, 15682, 43240, 104577, 9554, 116787, 101778, 106390, 107707, 50338, 13393, 230, 9458, 102446, 116340, 29295, 56965, 108010, 107462, 104533, 15682, 78244, 119841, 108995, 29295, 5486, 43240, 17620, 110382, 16556, 112391, 30369, 108010, 34208, 99750, 15682, 108008, 20230, 50034, 115590, 26854, 102944, 16556, 5486, 27452, 116285, 115364, 103760, 29504, 102158, 30512, 5486, 102750, 25197, 103906, 52884, 111769, 48915, 29504, 114754, 104067, 30046, 20230, 116826, 103854, 107462, 104533, 50834, 20230, 112391, 30369, 105933, 13177, 66953, 47307, 26274, 255, 30813, 117503, 105933, 102944, 108995, 9174, 27507, 11144, 104862, 61304, 11199, 220, 20, 14, 806, 45631, 52591, 119930, 20230, 21441, 118, 102204, 106272, 10646, 33, 7391, 55031, 20251, 118359, 66953, 48552, 30512, 16995, 90620, 102334, 9174, 51330, 100909, 114556, 39926, 108064, 32977, 114284, 121406, 105272, 29295, 5486, 108031, 99849, 8107, 32977, 25580, 108176, 29295, 5486, 114672, 107060, 16144, 70563, 39880, 78683, 71634, 105729, 115941, 29220, 9458, 68408, 91062, 22398, 29295, 37507, 9080, 39926, 107611, 106848, 113949, 16556, 37823, 109054, 122258, 125523, 102334, 16144, 30512, 104655, 102334, 105908, 101182, 1811, 68408, 91062, 117718, 70563, 39880, 101335, 15682, 12852, 113146, 20230, 70563, 39880, 101335, 13372, 103302, 43167, 71289, 80805, 103223, 102439, 105048, 16144, 13177, 113786, 16144, 104412, 117503, 70563, 39880, 101335, 16556, 104655, 16995, 101732, 105879, 58426, 120613, 102052, 106759, 21105, 123, 122291, 15024, 5486, 104521, 101129, 106241, 34208, 16144, 13177, 102616, 16144, 70563, 39880, 78683, 71634, 10646, 102052, 112113, 9554, 102052, 39850, 42634, 39850, 42634, 109846, 102936, 102158, 16144, 13372, 17792, 30512, 104655, 47884, 105933, 110999, 107407, 19732, 64467, 112419, 84389, 101732, 115789, 57903, 5486, 125494, 39926, 104655, 50834, 120650, 100472, 1811, 103302, 30832, 15682, 107271, 25005, 247, 108958, 16144, 92776, 109834, 103302, 43167, 19732, 102832, 84477, 25005, 112, 78349, 113883, 30537, 843, 87217, 16144, 102741, 96452, 47307, 29295, 39850, 76171, 103351, 119150, 9174, 112113, 109904, 127408, 23187, 30813, 102677, 104468, 5486, 110018, 108086, 78659, 46034, 16144, 47260, 52414, 42634, 64178, 29295, 30591, 16995, 17129, 16995, 26854, 104865, 105047, 20230, 104195, 116340, 103646, 31431, 5486, 105557, 22957, 43514, 100604, 119375, 50834, 24273, 117083, 120900, 32149, 19732, 112391, 110467, 5486, 102832, 84477, 25005, 112, 78349, 113883, 102741, 96452, 47307, 16144, 106135, 105465, 46028, 16144, 104721, 116340, 103302, 16556, 5486, 37823, 78525, 91062, 29295, 106901, 78525, 9554, 108176, 105494, 104309, 13177, 80988, 239, 105714, 33121, 66383, 71174, 110238, 56051, 47884, 109020, 105933, 102159, 32938, 32977, 105693, 29295, 5486, 37087, 33014, 20230, 108008, 20230, 37823, 32131, 107840, 56051, 25132, 108, 116310, 95221, 16556, 5486, 53901, 104680, 76207, 118, 71289, 10890, 104, 20230, 70563, 39880, 101335, 16556, 102158, 31431, 32149, 105784, 105933, 102446, 116340, 103351, 1811, 105465, 123285, 16144, 88356, 102321, 102446, 116340, 103306, 16144, 61648, 27479, 55031, 78244, 116285, 5486, 64467, 15017, 234, 50834, 29295, 104067, 30046, 26854, 105268, 46034, 120332, 29295, 104622, 115032, 120900, 29295, 5486, 68408, 91062, 22398, 15682, 5486, 108038, 20230, 102446, 116340, 103302, 30512, 46034, 16325, 116446, 108086, 5486, 110924, 55031, 115364, 127557, 30512, 109683, 20230, 21405, 102321, 126020, 5486, 127557, 19732, 102446, 116340, 16144, 56965, 16144, 106036, 253, 106036, 105, 29295, 112391, 102204, 100604, 112973, 57980, 102518, 1811, 72238, 4916, 112, 102083, 116285, 72238, 4916, 112, 26854, 105272, 29295, 5486, 37689, 109375, 109904, 50338, 13393, 230, 102677, 102944, 30512, 72404, 104087, 56051, 105933, 127557, 16556, 106116, 28190, 16556, 13177, 13372, 17792, 10646, 109904, 120900, 9174, 102936, 102158, 16144, 13372, 17792, 19732, 78244, 116285, 5486, 109935, 39880, 96452, 115691, 60868, 115247, 102404, 71174, 5486, 102404, 79785, 5486, 126128, 21441, 248, 5486, 22398, 70563, 65575, 16144, 123782, 109904, 87177, 15024, 24273, 20230, 57106, 115694, 5486, 120019, 68408, 108526, 33710, 39850, 103646, 102159, 34171, 109904, 87177, 15024, 24273, 30512, 32977, 103836, 102944, 109846, 5486, 127557, 16144, 88356, 102321, 102446, 116340, 121960, 32977, 5486, 104409, 28713, 105933, 105908, 101182, 105272, 119150, 1811, 27452, 116285, 5486, 25580, 103605, 101042, 118, 16144, 13177, 117539, 48249, 43568, 10646, 72661, 115132, 68759, 123577, 39880, 5486, 25580, 103605, 127862, 59739, 30832, 5486, 89151, 76537, 5486, 13372, 17792, 110745, 13372, 17792, 77181, 120019, 108901, 109020, 108995, 15024, 115847, 30512, 109935, 39880, 96452, 115691, 118718, 29295, 118331, 61398, 16144, 96452, 44971, 38248, 115, 78205, 113883, 104466, 87177, 56051, 107803, 123085, 102158, 29295, 104067, 30046, 26854, 48915, 114754, 87177, 56051, 107803, 77181, 110745, 50834, 47884, 118331, 39880, 107446, 16144, 104364, 125334, 38144, 109749, 1811, 108044, 105156, 71289, 106581, 109904, 124858, 111363, 113954, 27479, 5486, 105324, 107246, 5486, 56965, 16144, 104364, 104309, 5486, 76706, 19113, 16144, 102936, 102158, 55038, 22656, 20230, 102321, 106824, 22957, 100604, 102944, 29295, 21405, 102321, 16144, 104364, 117282, 104466, 91763, 30297, 9174, 91, 50702, 118, 23187, 116974, 198, 567, 45631, 127557, 10646, 118455, 16144, 77219, 198, 13177, 101778, 106390, 17792, 20230, 61786, 106390, 127557, 29295, 50338, 117295, 104865, 91006, 104699, 110706, 20230, 114099, 102404, 112535, 102158, 31431, 32149, 124324, 19732, 95543, 106608, 29295, 43568, 117714, 112130, 101832, 11571, 22656, 105284, 109904, 109606, 118816, 86127, 32977, 78698, 107290, 61689, 1811, 121755, 30369, 104466, 117813, 103991, 17620, 102212, 30512, 104087, 107800, 99397, 16995, 126529, 119627, 5486, 127557, 16144, 102446, 116340, 16144, 77693, 32977, 118789, 112535, 58254, 252, 107462, 126145, 17620, 107277, 87844, 16995, 125651, 1811, 27452, 116285, 117647, 104063, 5486, 104063, 91875, 5486, 110315, 50834, 104309, 38641, 1811, 67645, 33121, 32977, 121593, 48864, 123160, 17620, 102212, 72661, 121247, 126832, 17620, 102212, 36785, 106046, 123671, 33541, 1811, 127762, 30358, 20230, 65917, 101171, 111, 78659, 101171, 111, 50667, 16144, 87177, 16144, 108761, 103438, 20230, 112825, 110904, 20230, 102971, 105242, 30512, 32018, 62004, 100604, 104466, 109768, 126145, 19361, 37689, 104577, 123253, 1811, 78244, 102158, 19732, 117647, 104063, 16144, 103721, 233, 29295, 31431, 15682, 107969, 64209, 26854, 127557, 103926, 53901, 46729, 105110, 81219, 112073, 116499, 47000, 102532, 61689, 101832, 1811, 122571, 66378, 20230, 114654, 16144, 117647, 104063, 38641, 1811, 102446, 116340, 105110, 37656, 102800, 11571, 39880, 117675, 123283, 44971, 38248, 115, 78205, 16073, 29295, 106084, 30369, 32149, 104405, 32149, 112130, 1811, 31809, 111338, 105514, 16144, 111090, 52884, 117718, 13372, 102446, 104309, 30512, 104655, 50834, 74245, 39926, 115226, 38641, 1811, 42634, 114741, 17792, 71289, 108152, 99959, 104930, 107707, 104063, 91875, 104309, 20230, 120019, 54926, 101335, 37823, 29295, 101778, 106390, 107707, 126513, 67645, 16144, 103826, 117158, 30369, 32149, 11571, 7741, 231, 105635, 39850, 102741, 105404, 15682, 85701, 16144, 95543, 113266, 38641, 123794, 1811, 110315, 50834, 16556, 78244, 116285, 5486, 95221, 103550, 71289, 101987, 117501, 30512, 96412, 107436, 5486, 102865, 16144, 79785, 37026, 33014, 29295, 108010, 61689, 101832, 1811, 60868, 65299, 102860, 9458, 116670, 22398, 102663, 107610, 16144, 108761, 103438, 119627, 1811, 27452, 116285, 101918, 16144, 76739, 123581, 113883, 79785, 19967, 31431, 104309, 14167, 243, 102700, 38641, 1811, 71174, 115351, 19732, 102404, 71174, 104309, 32977, 114652, 117952, 104028, 100909, 38641, 9174, 100990, 118, 114758, 26854, 114654, 30512, 87177, 17663, 102663, 52414, 9458, 96452, 102472, 101335, 105514, 16144, 102446, 116340, 104309, 32977, 109834, 103868, 101182, 27452, 38641, 9174, 110022, 100204, 38144, 78244, 116285, 5486, 42634, 114741, 17792, 16556, 102832, 84477, 25005, 112, 78349, 16073, 102446, 116340, 16144, 107624, 95001, 30512, 50928, 30369, 17792, 104309, 19732, 112361, 16556, 5486, 17905, 20230, 123680, 29295, 30369, 103826, 26854, 102700, 13372, 26854, 102446, 116340, 46729, 15682, 13177, 22656, 75267, 53953, 10646, 16556, 103470, 111243, 5486, 104662, 39926, 13177, 117902, 102800, 102944, 118587, 20379, 39926, 124089, 55031, 16556, 103470, 38144, 99849, 117120, 32149, 13177, 72238, 116366, 114420, 102944, 118587, 20379, 39926, 19653, 103792, 117735, 38641, 1811, 112990, 58426, 105933, 102944, 16144, 99849, 29295, 109215, 32149, 104405, 32149, 19732, 112844, 5486, 36149, 228, 124592, 112361, 99397, 16995, 29295, 5486, 102208, 104680, 16144, 36735, 112, 123378, 112028, 17792, 122485, 20230, 80172, 102639, 126929, 110071, 16144, 111769, 123253, 32149, 95532, 108064, 32977, 9554, 105184, 26854, 90178, 30512, 16995, 90620, 50834, 97135, 61689, 1811, 112185, 76739, 52414, 102540, 103306, 123680, 102639, 30369, 108680, 16144, 44915, 77181, 104435, 16144, 119627, 5486, 78698, 105085, 30512, 103130, 109315, 46034, 29295, 107277, 29295, 50928, 110071, 90178, 30512, 16995, 90620, 50834, 27384, 104721, 121846, 115717, 33541, 118855, 57980, 85791, 106624, 33334, 124730, 78434, 9174, 86127, 29295, 101778, 106390, 107707, 102446, 116340, 102677, 106592, 66378, 20230, 37689, 109375, 15024, 118158, 104468, 5486, 112673, 25005, 101, 108941, 16144, 66953, 26269, 102040, 16144, 43568, 112183, 116340, 103214, 103302, 19732, 120268, 119506, 14, 116229, 65299, 62903, 102750, 113883, 110101, 103202, 22398, 39209, 110315, 103302, 37087, 43167, 16144, 6620, 30512, 104655, 102532, 55031, 38641, 109900, 108422, 33121, 101083, 57933, 29220, 122842, 5486, 39850, 71493, 122842, 9554, 102052, 102616, 53610, 107253, 16144, 123499, 26854, 102446, 116340, 116787, 5486, 102083, 76947, 104662, 39926, 101513, 109472, 109904, 66378, 17599, 112, 16144, 100604, 102446, 116340, 102677, 113334, 126194, 5486, 114392, 102159, 34171, 109904, 102446, 116340, 126529, 119627, 108149, 107290, 78244, 116285, 58426, 102159, 34171, 29295, 106942, 19732, 40862, 105260, 109768, 100604, 102677, 99750, 112854, 16556, 56051, 9174, 108167, 109415, 125398, 57933, 108941, 20230, 109834, 103868, 29295, 85300, 100, 102334, 104468, 5486, 108031, 508, 8107, 71689, 32977, 123628, 100909, 115717, 33541, 29295, 115132, 114740, 73597, 252, 19000, 16325, 126365, 28713, 111926, 120706, 16144, 104371, 47523, 29295, 104195, 111101, 103351, 55031, 111769, 32149, 106046, 61689, 1811, 31809, 111338, 109568, 104945, 19732, 33334, 27929, 124749, 112673, 25005, 101, 108941, 10110, 43511, 105352, 102334, 32149, 110241, 33121, 107515, 7705, 29295, 87177, 30512, 39926, 102532, 110371, 57933, 108941, 110276, 126101, 120268, 111338, 29295, 113938, 110382, 126328, 90962, 52591, 71493, 127194, 16556, 114318, 71493, 127194, 30512, 30250, 106, 76947, 114604, 16144, 38641, 9174, 127557, 15682, 105465, 21105, 123, 20230, 104655, 47884, 121142, 50520, 111, 102800, 109335, 78183, 107277, 107515, 29295, 5486, 108901, 106581, 10110, 127164, 7705, 107809, 16556, 104654, 39926, 101544, 115737, 104984, 109020, 108680, 104195, 47884, 112391, 30369, 101200, 110276, 108901, 106581, 16144, 121819, 48634, 19732, 72661, 112844, 125231, 102944, 19732, 116690, 107407, 104865, 121061, 26854, 114318, 74245, 99750, 121256, 1811, 102433, 16556, 102433, 17792, 120007, 20230, 102446, 116340, 103792, 39177, 102052, 112391, 100604, 120953, 119607, 126758, 108010, 34208, 99750, 29295, 102433, 17792, 102052, 114308, 123011, 103836, 16144, 111769, 32149, 106046, 16995, 79721, 109900, 29295, 107202, 21105, 123, 105352, 103721, 233, 29295, 106358, 16144, 111769, 32149, 19732, 101067, 66201, 127145, 123405, 47884, 17129, 72661, 101067, 66201, 119627, 9174, 109834, 103868, 102987, 16995, 57933, 108941, 29295, 43511, 105352, 57903, 33541, 105879, 5486, 53900, 120824, 99397, 107726, 100481, 90620, 50834, 33541, 1811, 97135, 16995, 79721, 1811, 128001, 128000, 101402, 50211, 106390, 102669, 106106, 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 ]
[ 17161, 31958, 16144, 127852, 104584, 10646, 104309, 102677, 105908, 117952, 33121, 5486, 61786, 106390, 17161, 31958, 19732, 112900, 32131, 91062, 17161, 31958, 16144, 103359, 80195, 29295, 106266, 106624, 26854, 103836, 1811, 7705, 58426, 16325, 16556, 5486, 61786, 106390, 17161, 31958, 33208, 56051, 102321, 31640, 102433, 116537, 5486, 105994, 29295, 61786, 106390, 17161, 31958, 30512, 72843, 101682, 54926, 109335, 117864, 47884, 16937, 91763, 104760, 20230, 91763, 78183, 100604, 1811, 104959, 55139, 16144, 113949, 30512, 120523, 112990, 5486, 112690, 16144, 109606, 15682, 101182, 116446, 32977, 5486, 9080, 40053, 104654, 77181, 102717, 19732, 124592, 108010, 34208, 99750, 30512, 112391, 100604, 29295, 5486, 104004, 15024, 85791, 102433, 16144, 101129, 63105, 236, 71289, 59795, 16144, 106848, 113949, 120650, 47884, 24273, 29295, 5486, 16937, 102924, 30512, 112391, 30369, 109900, 103378, 5486, 9080, 40053, 29295, 61786, 106390, 33208, 103792, 120900, 9174, 127557, 15682, 102616, 16144, 55999, 33035, 78244, 102158, 36785, 102677, 5486, 105465, 36827, 109904, 104736, 109375, 107407, 29295, 5486, 126920, 102131, 108995, 32149, 11571, 102616, 102677, 104468, 5486, 61786, 106390, 17161, 31958, 16144, 100909, 111769, 120900, 32149, 11571, 106581, 27384, 125981, 113146, 16144, 59795, 15682, 32977, 19732, 105755, 5486, 112900, 32131, 91062, 12554, 237, 77181, 5486, 61786, 106390, 127557, 16144, 102446, 116340, 29295, 5486, 106699, 100927, 109904, 114667, 55031, 124260, 107001, 115789, 101182, 19732, 104655, 47884, 9174, 60358, 8107, 115408, 16144, 99750, 112854, 77181, 120268, 119506, 109568, 104945, 5486, 32943, 101129, 101426, 45829, 5486, 112673, 11972, 9458, 112673, 11972, 120456, 5486, 78525, 113649, 16073, 9458, 39850, 108337, 10110, 76171, 45923, 39276, 26854, 105879, 47260, 38248, 104, 102741, 114265, 108995, 29295, 65459, 76208, 102687, 64121, 67645, 31431, 104309, 15682, 5486, 102321, 31640, 16144, 107059, 57207, 48552, 127557, 98220, 77181, 91482, 115432, 102750, 103202, 16144, 101778, 106390, 20834, 96356, 30046, 103195, 29295, 119568, 120577, 102446, 116340, 55031, 101682, 105784, 118331, 39880, 107446, 29295, 5486, 42016, 101083, 31640, 16144, 61786, 106390, 20834, 96356, 16144, 106691, 109904, 102446, 116340, 46729, 117758, 118331, 39880, 107446, 19732, 50034, 115590, 20230, 108901, 109020, 104466, 112391, 30369, 101200, 101983, 103836, 1811, 32943, 101129, 101426, 45829, 104309, 15682, 5486, 114672, 107060, 101662, 43514, 16556, 112673, 118517, 26269, 80805, 16556, 104378, 114475, 76622, 5486, 112673, 118517, 26269, 80805, 16556, 27384, 13153, 56051, 102446, 116340, 46729, 109846, 5486, 109453, 116907, 104067, 30046, 26854, 102433, 102158, 30512, 116826, 103854, 30369, 115789, 57903, 5486, 118331, 39880, 107446, 28190, 77181, 102433, 109904, 102944, 30512, 112391, 30369, 9174, 127557, 29295, 96412, 19361, 54926, 39850, 26269, 64810, 78767, 15682, 43240, 104577, 9554, 116787, 101778, 106390, 107707, 50338, 13393, 230, 9458, 102446, 116340, 29295, 56965, 108010, 107462, 104533, 15682, 78244, 119841, 108995, 29295, 5486, 43240, 17620, 110382, 16556, 112391, 30369, 108010, 34208, 99750, 15682, 108008, 20230, 50034, 115590, 26854, 102944, 16556, 5486, 27452, 116285, 115364, 103760, 29504, 102158, 30512, 5486, 102750, 25197, 103906, 52884, 111769, 48915, 29504, 114754, 104067, 30046, 20230, 116826, 103854, 107462, 104533, 50834, 20230, 112391, 30369, 105933, 13177, 66953, 47307, 26274, 255, 30813, 117503, 105933, 102944, 108995, 9174, 27507, 11144, 104862, 61304, 11199, 220, 20, 14, 806, 45631, 52591, 119930, 20230, 21441, 118, 102204, 106272, 10646, 33, 7391, 55031, 20251, 118359, 66953, 48552, 30512, 16995, 90620, 102334, 9174, 51330, 100909, 114556, 39926, 108064, 32977, 114284, 121406, 105272, 29295, 5486, 108031, 99849, 8107, 32977, 25580, 108176, 29295, 5486, 114672, 107060, 16144, 70563, 39880, 78683, 71634, 105729, 115941, 29220, 9458, 68408, 91062, 22398, 29295, 37507, 9080, 39926, 107611, 106848, 113949, 16556, 37823, 109054, 122258, 125523, 102334, 16144, 30512, 104655, 102334, 105908, 101182, 1811, 68408, 91062, 117718, 70563, 39880, 101335, 15682, 12852, 113146, 20230, 70563, 39880, 101335, 13372, 103302, 43167, 71289, 80805, 103223, 102439, 105048, 16144, 13177, 113786, 16144, 104412, 117503, 70563, 39880, 101335, 16556, 104655, 16995, 101732, 105879, 58426, 120613, 102052, 106759, 21105, 123, 122291, 15024, 5486, 104521, 101129, 106241, 34208, 16144, 13177, 102616, 16144, 70563, 39880, 78683, 71634, 10646, 102052, 112113, 9554, 102052, 39850, 42634, 39850, 42634, 109846, 102936, 102158, 16144, 13372, 17792, 30512, 104655, 47884, 105933, 110999, 107407, 19732, 64467, 112419, 84389, 101732, 115789, 57903, 5486, 125494, 39926, 104655, 50834, 120650, 100472, 1811, 103302, 30832, 15682, 107271, 25005, 247, 108958, 16144, 92776, 109834, 103302, 43167, 19732, 102832, 84477, 25005, 112, 78349, 113883, 30537, 843, 87217, 16144, 102741, 96452, 47307, 29295, 39850, 76171, 103351, 119150, 9174, 112113, 109904, 127408, 23187, 30813, 102677, 104468, 5486, 110018, 108086, 78659, 46034, 16144, 47260, 52414, 42634, 64178, 29295, 30591, 16995, 17129, 16995, 26854, 104865, 105047, 20230, 104195, 116340, 103646, 31431, 5486, 105557, 22957, 43514, 100604, 119375, 50834, 24273, 117083, 120900, 32149, 19732, 112391, 110467, 5486, 102832, 84477, 25005, 112, 78349, 113883, 102741, 96452, 47307, 16144, 106135, 105465, 46028, 16144, 104721, 116340, 103302, 16556, 5486, 37823, 78525, 91062, 29295, 106901, 78525, 9554, 108176, 105494, 104309, 13177, 80988, 239, 105714, 33121, 66383, 71174, 110238, 56051, 47884, 109020, 105933, 102159, 32938, 32977, 105693, 29295, 5486, 37087, 33014, 20230, 108008, 20230, 37823, 32131, 107840, 56051, 25132, 108, 116310, 95221, 16556, 5486, 53901, 104680, 76207, 118, 71289, 10890, 104, 20230, 70563, 39880, 101335, 16556, 102158, 31431, 32149, 105784, 105933, 102446, 116340, 103351, 1811, 105465, 123285, 16144, 88356, 102321, 102446, 116340, 103306, 16144, 61648, 27479, 55031, 78244, 116285, 5486, 64467, 15017, 234, 50834, 29295, 104067, 30046, 26854, 105268, 46034, 120332, 29295, 104622, 115032, 120900, 29295, 5486, 68408, 91062, 22398, 15682, 5486, 108038, 20230, 102446, 116340, 103302, 30512, 46034, 16325, 116446, 108086, 5486, 110924, 55031, 115364, 127557, 30512, 109683, 20230, 21405, 102321, 126020, 5486, 127557, 19732, 102446, 116340, 16144, 56965, 16144, 106036, 253, 106036, 105, 29295, 112391, 102204, 100604, 112973, 57980, 102518, 1811, 72238, 4916, 112, 102083, 116285, 72238, 4916, 112, 26854, 105272, 29295, 5486, 37689, 109375, 109904, 50338, 13393, 230, 102677, 102944, 30512, 72404, 104087, 56051, 105933, 127557, 16556, 106116, 28190, 16556, 13177, 13372, 17792, 10646, 109904, 120900, 9174, 102936, 102158, 16144, 13372, 17792, 19732, 78244, 116285, 5486, 109935, 39880, 96452, 115691, 60868, 115247, 102404, 71174, 5486, 102404, 79785, 5486, 126128, 21441, 248, 5486, 22398, 70563, 65575, 16144, 123782, 109904, 87177, 15024, 24273, 20230, 57106, 115694, 5486, 120019, 68408, 108526, 33710, 39850, 103646, 102159, 34171, 109904, 87177, 15024, 24273, 30512, 32977, 103836, 102944, 109846, 5486, 127557, 16144, 88356, 102321, 102446, 116340, 121960, 32977, 5486, 104409, 28713, 105933, 105908, 101182, 105272, 119150, 1811, 27452, 116285, 5486, 25580, 103605, 101042, 118, 16144, 13177, 117539, 48249, 43568, 10646, 72661, 115132, 68759, 123577, 39880, 5486, 25580, 103605, 127862, 59739, 30832, 5486, 89151, 76537, 5486, 13372, 17792, 110745, 13372, 17792, 77181, 120019, 108901, 109020, 108995, 15024, 115847, 30512, 109935, 39880, 96452, 115691, 118718, 29295, 118331, 61398, 16144, 96452, 44971, 38248, 115, 78205, 113883, 104466, 87177, 56051, 107803, 123085, 102158, 29295, 104067, 30046, 26854, 48915, 114754, 87177, 56051, 107803, 77181, 110745, 50834, 47884, 118331, 39880, 107446, 16144, 104364, 125334, 38144, 109749, 1811, 108044, 105156, 71289, 106581, 109904, 124858, 111363, 113954, 27479, 5486, 105324, 107246, 5486, 56965, 16144, 104364, 104309, 5486, 76706, 19113, 16144, 102936, 102158, 55038, 22656, 20230, 102321, 106824, 22957, 100604, 102944, 29295, 21405, 102321, 16144, 104364, 117282, 104466, 91763, 30297, 9174, 91, 50702, 118, 23187, 116974, 198, 567, 45631, 127557, 10646, 118455, 16144, 77219, 198, 13177, 101778, 106390, 17792, 20230, 61786, 106390, 127557, 29295, 50338, 117295, 104865, 91006, 104699, 110706, 20230, 114099, 102404, 112535, 102158, 31431, 32149, 124324, 19732, 95543, 106608, 29295, 43568, 117714, 112130, 101832, 11571, 22656, 105284, 109904, 109606, 118816, 86127, 32977, 78698, 107290, 61689, 1811, 121755, 30369, 104466, 117813, 103991, 17620, 102212, 30512, 104087, 107800, 99397, 16995, 126529, 119627, 5486, 127557, 16144, 102446, 116340, 16144, 77693, 32977, 118789, 112535, 58254, 252, 107462, 126145, 17620, 107277, 87844, 16995, 125651, 1811, 27452, 116285, 117647, 104063, 5486, 104063, 91875, 5486, 110315, 50834, 104309, 38641, 1811, 67645, 33121, 32977, 121593, 48864, 123160, 17620, 102212, 72661, 121247, 126832, 17620, 102212, 36785, 106046, 123671, 33541, 1811, 127762, 30358, 20230, 65917, 101171, 111, 78659, 101171, 111, 50667, 16144, 87177, 16144, 108761, 103438, 20230, 112825, 110904, 20230, 102971, 105242, 30512, 32018, 62004, 100604, 104466, 109768, 126145, 19361, 37689, 104577, 123253, 1811, 78244, 102158, 19732, 117647, 104063, 16144, 103721, 233, 29295, 31431, 15682, 107969, 64209, 26854, 127557, 103926, 53901, 46729, 105110, 81219, 112073, 116499, 47000, 102532, 61689, 101832, 1811, 122571, 66378, 20230, 114654, 16144, 117647, 104063, 38641, 1811, 102446, 116340, 105110, 37656, 102800, 11571, 39880, 117675, 123283, 44971, 38248, 115, 78205, 16073, 29295, 106084, 30369, 32149, 104405, 32149, 112130, 1811, 31809, 111338, 105514, 16144, 111090, 52884, 117718, 13372, 102446, 104309, 30512, 104655, 50834, 74245, 39926, 115226, 38641, 1811, 42634, 114741, 17792, 71289, 108152, 99959, 104930, 107707, 104063, 91875, 104309, 20230, 120019, 54926, 101335, 37823, 29295, 101778, 106390, 107707, 126513, 67645, 16144, 103826, 117158, 30369, 32149, 11571, 7741, 231, 105635, 39850, 102741, 105404, 15682, 85701, 16144, 95543, 113266, 38641, 123794, 1811, 110315, 50834, 16556, 78244, 116285, 5486, 95221, 103550, 71289, 101987, 117501, 30512, 96412, 107436, 5486, 102865, 16144, 79785, 37026, 33014, 29295, 108010, 61689, 101832, 1811, 60868, 65299, 102860, 9458, 116670, 22398, 102663, 107610, 16144, 108761, 103438, 119627, 1811, 27452, 116285, 101918, 16144, 76739, 123581, 113883, 79785, 19967, 31431, 104309, 14167, 243, 102700, 38641, 1811, 71174, 115351, 19732, 102404, 71174, 104309, 32977, 114652, 117952, 104028, 100909, 38641, 9174, 100990, 118, 114758, 26854, 114654, 30512, 87177, 17663, 102663, 52414, 9458, 96452, 102472, 101335, 105514, 16144, 102446, 116340, 104309, 32977, 109834, 103868, 101182, 27452, 38641, 9174, 110022, 100204, 38144, 78244, 116285, 5486, 42634, 114741, 17792, 16556, 102832, 84477, 25005, 112, 78349, 16073, 102446, 116340, 16144, 107624, 95001, 30512, 50928, 30369, 17792, 104309, 19732, 112361, 16556, 5486, 17905, 20230, 123680, 29295, 30369, 103826, 26854, 102700, 13372, 26854, 102446, 116340, 46729, 15682, 13177, 22656, 75267, 53953, 10646, 16556, 103470, 111243, 5486, 104662, 39926, 13177, 117902, 102800, 102944, 118587, 20379, 39926, 124089, 55031, 16556, 103470, 38144, 99849, 117120, 32149, 13177, 72238, 116366, 114420, 102944, 118587, 20379, 39926, 19653, 103792, 117735, 38641, 1811, 112990, 58426, 105933, 102944, 16144, 99849, 29295, 109215, 32149, 104405, 32149, 19732, 112844, 5486, 36149, 228, 124592, 112361, 99397, 16995, 29295, 5486, 102208, 104680, 16144, 36735, 112, 123378, 112028, 17792, 122485, 20230, 80172, 102639, 126929, 110071, 16144, 111769, 123253, 32149, 95532, 108064, 32977, 9554, 105184, 26854, 90178, 30512, 16995, 90620, 50834, 97135, 61689, 1811, 112185, 76739, 52414, 102540, 103306, 123680, 102639, 30369, 108680, 16144, 44915, 77181, 104435, 16144, 119627, 5486, 78698, 105085, 30512, 103130, 109315, 46034, 29295, 107277, 29295, 50928, 110071, 90178, 30512, 16995, 90620, 50834, 27384, 104721, 121846, 115717, 33541, 118855, 57980, 85791, 106624, 33334, 124730, 78434, 9174, 86127, 29295, 101778, 106390, 107707, 102446, 116340, 102677, 106592, 66378, 20230, 37689, 109375, 15024, 118158, 104468, 5486, 112673, 25005, 101, 108941, 16144, 66953, 26269, 102040, 16144, 43568, 112183, 116340, 103214, 103302, 19732, 120268, 119506, 14, 116229, 65299, 62903, 102750, 113883, 110101, 103202, 22398, 39209, 110315, 103302, 37087, 43167, 16144, 6620, 30512, 104655, 102532, 55031, 38641, 109900, 108422, 33121, 101083, 57933, 29220, 122842, 5486, 39850, 71493, 122842, 9554, 102052, 102616, 53610, 107253, 16144, 123499, 26854, 102446, 116340, 116787, 5486, 102083, 76947, 104662, 39926, 101513, 109472, 109904, 66378, 17599, 112, 16144, 100604, 102446, 116340, 102677, 113334, 126194, 5486, 114392, 102159, 34171, 109904, 102446, 116340, 126529, 119627, 108149, 107290, 78244, 116285, 58426, 102159, 34171, 29295, 106942, 19732, 40862, 105260, 109768, 100604, 102677, 99750, 112854, 16556, 56051, 9174, 108167, 109415, 125398, 57933, 108941, 20230, 109834, 103868, 29295, 85300, 100, 102334, 104468, 5486, 108031, 508, 8107, 71689, 32977, 123628, 100909, 115717, 33541, 29295, 115132, 114740, 73597, 252, 19000, 16325, 126365, 28713, 111926, 120706, 16144, 104371, 47523, 29295, 104195, 111101, 103351, 55031, 111769, 32149, 106046, 61689, 1811, 31809, 111338, 109568, 104945, 19732, 33334, 27929, 124749, 112673, 25005, 101, 108941, 10110, 43511, 105352, 102334, 32149, 110241, 33121, 107515, 7705, 29295, 87177, 30512, 39926, 102532, 110371, 57933, 108941, 110276, 126101, 120268, 111338, 29295, 113938, 110382, 126328, 90962, 52591, 71493, 127194, 16556, 114318, 71493, 127194, 30512, 30250, 106, 76947, 114604, 16144, 38641, 9174, 127557, 15682, 105465, 21105, 123, 20230, 104655, 47884, 121142, 50520, 111, 102800, 109335, 78183, 107277, 107515, 29295, 5486, 108901, 106581, 10110, 127164, 7705, 107809, 16556, 104654, 39926, 101544, 115737, 104984, 109020, 108680, 104195, 47884, 112391, 30369, 101200, 110276, 108901, 106581, 16144, 121819, 48634, 19732, 72661, 112844, 125231, 102944, 19732, 116690, 107407, 104865, 121061, 26854, 114318, 74245, 99750, 121256, 1811, 102433, 16556, 102433, 17792, 120007, 20230, 102446, 116340, 103792, 39177, 102052, 112391, 100604, 120953, 119607, 126758, 108010, 34208, 99750, 29295, 102433, 17792, 102052, 114308, 123011, 103836, 16144, 111769, 32149, 106046, 16995, 79721, 109900, 29295, 107202, 21105, 123, 105352, 103721, 233, 29295, 106358, 16144, 111769, 32149, 19732, 101067, 66201, 127145, 123405, 47884, 17129, 72661, 101067, 66201, 119627, 9174, 109834, 103868, 102987, 16995, 57933, 108941, 29295, 43511, 105352, 57903, 33541, 105879, 5486, 53900, 120824, 99397, 107726, 100481, 90620, 50834, 33541, 1811, 97135, 16995, 79721, 1811, 128001, 128000, 101402, 50211, 106390, 102669, 106106, 74245 ]
[ 123470, 102456, 104654, 13, 125389, 16144, 105509, 34171, 29295, 39135, 104680, 19732, 99397, 126832, 113146, 115717, 79721, 1811, 13, 125389, 30926, 15682, 104654, 102052, 124490, 32149, 72342, 100604, 102944, 38641, 15024, 5486, 109467, 33014, 32943, 109156, 30369, 102944, 26854, 105879, 101365, 106613, 105284, 108176, 123017, 71289, 104004, 30512, 50928, 107515, 1811, 13, 125389, 103854, 53953, 16144, 106592, 113727, 101732, 126101, 5486, 105721, 102669, 123470, 102433, 116537, 67645, 120950, 102456, 104654, 30512, 39926, 13, 112119, 50211, 106390, 102669, 106106, 29295, 125119, 100472, 114667, 103306, 15682, 5486, 106135, 33671, 102616, 27384, 102669, 29295, 125119, 103836, 126101, 112119, 50211, 106390, 102669, 106106, 16325, 124911, 104680, 16144, 127331, 124949, 125389, 103854, 53953, 16556, 111800, 52084, 56051, 113702, 105490, 226, 16, 11, 11139, 11, 931, 14558, 220, 16, 122481, 30832, 115338, 102416, 871, 220, 30813, 29295, 17663, 25800, 120795, 112508, 62903, 125024, 65575, 124905, 30297, 124928, 250, 52084, 113702, 122481, 16556, 5486, 116974, 29295, 102769, 115032, 13, 112119, 50211, 106390, 102669, 106106, 16325, 5486, 29504, 70821, 15682, 67645, 103171, 102944, 30512, 125764, 101732, 16144, 220, 6393, 16, 8107, 19, 9953, 20230, 111344, 16556, 5486, 73361, 16144, 55487, 110698, 44416, 29295, 27704, 109709, 5486, 111717, 20230, 108285, 29295, 107462, 50834, 79721, 1811, 85707, 18049, 223, 15682, 5486, 806, 21909, 1399, 102280, 16144, 118374, 122485, 107294, 50834, 16, 117816, 17, 220, 48154, 30297, 108825, 18, 220, 116826, 47884, 107964, 118, 10110, 10568, 111134, 91062, 120732, 111017, 40862, 16556, 220, 56051, 29295, 5486, 21105, 254, 119178, 114485, 76947, 627, 50534, 99, 39177, 17297, 16144, 127331, 124949, 13, 125389, 100853, 100, 111108, 112119, 50211, 106390, 102669, 106106, 77181, 102669, 91077, 16144, 109161, 33208, 19732, 107173, 20230, 127512, 71289, 102456, 42506, 112828, 40474, 32977, 109161, 115737, 31431, 17792, 104680, 15682, 55487, 110698, 107001, 126654, 107188, 73361, 20230, 45893, 105588, 107, 16144, 102212, 105301, 104309, 30512, 107960, 112371, 38144, 53610, 108005, 121, 16995, 122202, 100479, 232, 104309, 30512, 17663, 105883, 18049, 232, 121771, 30591, 25827, 119707, 100204, 30369, 102677, 124519, 106968, 26854, 102456, 30926, 29295, 115079, 105262, 18049, 230, 30297, 115717, 79721, 112004, 13, 220, 27929, 81219, 102571, 16144, 123628, 23039, 32218, 13, 10447, 96, 107, 102212, 110203, 100, 71208, 27798, 510, 50211, 34208, 9458, 98499, 102181, 9080, 61304, 9458, 109832, 19967, 9458, 12380, 25750, 18630, 109, 100, 71208, 16144, 31809, 108323, 104309, 30512, 3202, 1811, 117501, 109606, 20230, 102669, 106106, 9458, 53229, 102404, 30512, 0, 117501, 109606, 50338, 104662, 20230, 121302, 121930, 15682, 109947, 124490, 0, 84499, 51330, 76739, 104612, 15682, 5486, 1399, 9080, 56965, 80172, 83932, 29295, 43568, 16995, 107803, 20230, 52563, 84389, 33541, 1811, 77219, 30512, 80172, 83932, 112990, 5486, 52563, 84389, 123733, 31431, 33541, 50534, 99, 106106, 126867, 127242, 54926, 102456, 42506, 30512, 111983, 30297, 113009, 3922, 111279, 107983, 108171, 104674, 29295, 28194, 101, 119680, 103646, 113637, 108171, 104674, 15682, 13177, 104284, 60632, 13, 78507, 96, 102456, 101987, 30512, 13177, 17792, 110792, 59739, 105722, 31431, 10646, 55031, 78698, 107290, 64121, 30369, 1811, 106222, 34171, 29295, 126920, 27384, 30926, 126529, 38641, 1811, 78507, 96, 102456, 101987, 107118, 78183, 28713, 56051, 43514, 16144, 104654, 16144, 75146, 114457, 117282, 102944, 38641, 1811, 220, 101182, 115552, 5486, 104654, 27929, 78507, 96, 102456, 101987, 90581, 43511, 112498, 67645, 102944, 127331, 124949, 112119, 50211, 106390, 102669, 106106, 97718, 119400, 117255, 67645, 102944, 127331, 124949, 220, 108044, 108477, 105, 40003, 242, 104626, 109, 106711, 119767, 112656, 111199, 120332, 78244, 43444, 79785, 71174, 41401, 7705, 220, 121538, 119736, 104974, 237, 106894, 9458, 102465, 111199, 16144, 91875, 117430, 115752, 31640, 9458, 16325, 101083, 16144, 8107, 21405, 118830, 101083, 12, 27384, 37656, 16144, 8107, 21405, 40003, 255, 34208, 16144, 8107, 21405, 105355, 13153, 16144, 8107, 21405, 40003, 242, 16144, 43167, 102936, 111629, 121921, 31938, 115, 16144, 70821, 77913, 469, 1242, 3097, 220, 115303, 33503, 48154, 19732, 627, 39880, 125581, 9458, 101402, 50211, 106390, 102669, 106106, 15682, 5486, 17792, 104680, 16144, 104654, 30512, 119448, 47884, 104721, 118306, 107726, 28713, 109900, 15682, 102433, 17792, 20230, 48249, 121140, 115132, 125581, 120328, 29504, 30512, 108295, 100204, 62004, 5486, 102669, 106106, 20230, 112959, 50834, 104526, 17129, 103468, 9039, 43240, 119064, 17792, 104680, 16144, 104654, 106004, 43240, 27384, 26854, 117375, 30512, 58318, 107800, 1811, 102433, 20230, 48249, 76947, 64121, 104533, 5486, 27452, 220, 116285, 34, 27538, 10110, 6393, 24, 104023, 6280, 15, 11, 220, 6280, 16, 7705, 103732, 33121, 13, 109450, 70821, 114341, 103605, 101402, 50211, 106390, 102669, 106106, 106968, 23538, 16144, 23530, 70821, 104654, 551, 102304, 35894, 124364, 9458, 104378, 9458, 78943, 45893, 9458, 105060, 102456, 101987, 26123, 100844, 102, 111158, 58850, 104284, 24186, 11, 115718, 110622, 110022, 46091, 104817, 18630, 111, 102, 16144, 105466, 102181, 102064, 11, 220, 4468, 22, 13, 18, 112084, 78983, 33710, 103283, 13372, 112119, 50211, 106390, 102669, 106106, 106968, 23538, 16144, 23530, 70821, 104654, 551, 109450, 70821, 114341, 103605, 551, 113992, 124364, 9458, 104378, 9458, 78943, 45893, 9458, 105060, 102456, 101987, 112084, 78983, 33710, 98499, 64121, 106030, 101198, 16073, 68042, 65299, 103988, 112084, 25197, 108768, 25197, 112673, 65299, 113978, 16073, 102741, 65299, 106982, 26269, 62903, 108474, 106030, 101198, 16073, 113978, 25197, 71493, 103223, 551, 116381, 65299, 107271, 65299, 109949, 13, 220, 28713, 102802, 28713, 102802, 91774, 107875, 126832, 109688, 101513, 15682, 5486, 78183, 28713, 56051, 43514, 16144, 106222, 71289, 104654, 30512, 13177, 112825, 72238, 33208, 10646, 124545, 102083, 123671, 33541, 1811, 107943, 13177, 112825, 72238, 33208, 10646, 112028, 79982, 30512, 30297, 32149, 29295, 105262, 31809, 119752, 45829, 115991, 33541, 66327, 123671, 120577, 105060, 102456, 101987, 77413, 111182, 38093, 66383, 104482, 103646, 58426, 31809, 119752, 124863, 5486, 6280, 15, 116033, 87447, 113497, 103646, 42016, 13372, 16144, 77413, 111182, 38093, 16144, 80805, 118804, 123167, 16556, 56051, 198, 9, 112119, 50211, 106390, 102669, 106106, 106968, 23538, 16144, 23530, 70821, 104654, 113992, 124364, 9458, 104378, 9458, 78943, 45893, 9458, 105060, 102456, 101987, 109450, 70821, 114341, 103605, 100844, 102, 111158, 58850, 104284, 24186, 55999, 104817, 18630, 111, 102, 16144, 105466, 102181, 102064, 220, 4468, 22, 18049, 237, 33121, 123671, 125030, 76947, 13177, 106656, 29295, 31640, 66383, 15682, 26854, 112649, 103774, 104261, 105242, 106106, 16144, 125683, 62004, 112656, 17905, 37656, 101908, 55999, 104817, 18630, 111, 102, 16144, 105466, 102181, 102064, 220, 4468, 22, 20517, 806, 105841, 97049, 58699, 105, 16144, 84264, 117, 103043, 231, 100702, 243, 102687, 117758, 110322, 78244, 18630, 230, 112, 76505, 198, 102669, 17297, 16144, 44971, 57207, 70563, 112119, 50211, 106390, 102669, 106106, 17297, 16144, 102456, 30512, 53283, 30369, 13, 32386, 236, 105635, 58666, 106618, 45829, 13, 112002, 7261, 17, 10110, 85188, 104526, 7705, 13, 96407, 115844, 16, 5232, 17, 119752, 103296, 220, 100066, 8610, 35757, 56040, 13, 72588, 717, 11, 931, 71689, 16144, 109198, 17701, 16556, 115052, 13, 220, 100066, 109853, 15682, 117896, 13, 116056, 47043, 109853, 33334, 99397, 16995, 114146, 13, 101961, 76208, 8107, 102669, 106106, 17297, 5486, 108968, 102769, 104028, 100909, 103470, 107680, 23039, 103646, 122924, 17792, 122202, 116044, 16144, 122735, 77219, 15682, 13, 112119, 50211, 106390, 102669, 106106, 77181, 5486, 49409, 119194, 22656, 74090, 20230, 102669, 80699, 15682, 102717, 19732, 124592, 33334, 57980, 81219, 104435, 102944, 16144, 5486, 115638, 508, 8107, 22, 9953, 975, 21909, 868, 9080, 5486, 45893, 32943, 1987, 23530, 102865, 101634, 29295, 35894, 124364, 30512, 30297, 107674, 1811, 17297, 49409, 103268, 102687, 123746, 20230, 1032, 37795, 119, 16144, 35894, 103760, 104336, 29295, 102321, 33121, 5486, 43568, 9039, 16144, 111900, 17905, 101513, 30512, 15120, 7741, 231, 20230, 102404, 103130, 107726, 5486, 102452, 108655, 103354, 20230, 95475, 117856, 16325, 16144, 111900, 106670, 29295, 107666, 120299, 103646, 198, 9, 8339, 16556, 103856, 111158, 58850, 107964, 251, 24186, 12594, 115718, 110622, 116201, 237, 46091, 16144, 101402, 50211, 106390, 102669, 106106, 106968, 23538, 16144, 23530, 70821, 104654, 63072, 35894, 124364, 9458, 104378, 9458, 78943, 45893, 9458, 105060, 102456, 101987, 109450, 70821, 114341, 103605, 320, 4468, 22, 8107, 8, 1811, 39880, 68759, 118091, 16073, 105110, 120098, 109818, 24186, 22656, 29295, 43240, 9039, 1811, 103856, 111158, 58850, 107964, 251, 24186, 11, 115718, 110622, 116201, 237, 46091, 106942, 102717, 32149, 108948, 105047, 105557, 102924, 103359, 47523, 47043, 15682, 40265, 9080, 33334, 109948, 76622, 32977, 88367, 118855, 101402, 50211, 220, 220, 5958, 8107, 123470, 110901, 16144, 9080, 10646, 29295, 116348, 121118, 1811, 106135, 33671, 27384, 102669, 17297, 16556, 13177, 115406, 10646, 15682, 99849, 30512, 125764, 117119, 30512, 114284, 106272, 103188, 48154, 39926, 105898, 120900, 1811, 114565, 114626, 16144, 105140, 5486, 124730, 15682, 115303, 59739, 13, 112119, 50211, 106390, 102669, 106106, 19732, 122088, 102687, 48, 120740, 32, 101370, 95, 27384, 35894, 124364, 16556, 23530, 104773, 30590, 25766, 225, 115534, 20230, 123697, 105694, 234, 80195, 127078, 104517, 9458, 104500, 105243, 48864, 117813, 102351, 20230, 104655, 47884, 45631, 17663, 101860, 98369, 10646, 91774, 59739, 107441, 116564, 74482, 32977, 80172, 83932, 119890, 43167, 116056, 66378, 43167, 98897, 55723, 13177, 102669, 39177, 17297, 16144, 127331, 124949, 105864, 246, 125534, 104865, 76622, 33503, 30512, 43167, 107436, 10646, 15682, 5486, 111717, 16144, 106848, 112810, 71289, 52371, 42, 5486, 111234, 52884, 39850, 125380, 82420, 717, 61337, 20230, 18049, 230, 30369, 13, 112119, 50211, 106390, 102669, 106106, 16325, 16144, 127880, 113261, 16995, 102669, 106106, 33014, 111186, 0, 46729, 16144, 49792, 101908, 71289, 80631, 100, 102800, 127331, 124949, 109853, 0, 40003, 255, 34208, 508, 8107, 7, 6393, 20, 8107, 8, 23, 9953, 868, 9080, 105721, 102669, 110276, 58426, 9080, 115408, 15682, 23, 102280, 20230, 116422, 100472, 122416, 16556, 56051, 1811, 116056, 101402, 50211, 106390, 102669, 106106, 29295, 27704, 117864, 104468, 115638, 845, 8107, 10110, 6393, 16, 8107, 7705, 717, 9953, 22, 9080, 19732, 117952, 33121, 33541, 55031, 53953, 64209, 59739, 102334, 39177, 55031, 102669, 106106, 89151, 42891, 92780, 16325, 103351, 102677, 100909, 115717, 33541, 50534, 99, 74482, 74245, 123470, 102433, 0, 17129, 30813, 106624, 80631, 100, 18259, 237, 16144, 67645, 25827, 104792, 116787, 5486, 112832, 32977, 29295, 107202, 67016, 100472, 0, 40003, 255, 34208, 508, 8107, 23, 9953, 868, 9080, 123085, 15682, 102669, 106106, 20230, 109972, 107441, 5486, 116414, 32977, 32149, 21105, 241, 32977, 123307, 76622, 102212, 53229, 117084, 103801, 16995, 79721, 1811, 102669, 106106, 16556, 101890, 254, 17044, 110, 117084, 109988, 115737, 100472, 17792, 32977, 27384, 110095, 20834, 38144, 110371, 39177, 102433, 116537, 108031, 41920, 27479, 19732, 102669, 106106, 15682, 17663, 125231, 110034, 19732, 104195, 47884, 114284, 79721, 198, 51330, 39880, 125581, 101402, 50211, 106390, 102669, 106106, 15682, 115638, 508, 8107, 23, 9953, 868, 9080, 103296, 106307, 102334, 1811, 105721, 102669, 101983, 114598, 21105, 108, 124749, 15682, 105060, 102456, 101987, 20230, 16937, 111764, 56051, 106592, 42016, 91739, 241, 21990, 127282, 103435, 238, 32149, 21105, 123, 5486, 102669, 106106, 20230, 33671, 104699, 102669, 106106, 16144, 26854, 32149, 30512, 114652, 106759, 127282, 101662, 38144, 38144, 122396, 114318, 108901, 40526, 42016, 79785, 20230, 102158, 31431, 40862, 100472, 50534, 99, 106106, 16325, 5486, 103572, 38574, 33035, 111331, 104654, 30512, 107113, 107707, 87177, 30512, 104655, 105898, 16995, 482, 102669, 106106, 16325, 104799, 115, 74090, 30512, 30813, 104699, 30369, 38093, 20251, 103830, 122481, 51431, 2304, 18476, 30832, 33671, 50534, 99, 39177, 17297, 16144, 114407, 101634, 104654, 120590, 110698, 114305, 30512, 36668, 103306, 65218, 101634, 109367, 105330, 108295, 100204, 62004, 20230, 116056, 83932, 15682, 115515, 33671, 101402, 50211, 106390, 102669, 106106, 17297, 5486, 103842, 225, 74482, 114407, 101634, 104654, 16144, 107202, 119895, 16144, 114172, 102512, 112028, 79982, 30512, 5486, 36668, 103306, 55487, 110698, 114305, 16144, 28190, 55031, 106116, 127749, 30512, 86127, 104067, 16144, 33014, 111186, 56051, 102944, 13, 112119, 50211, 106390, 5486, 101402, 50211, 106390, 102669, 106106, 220, 5833, 111909, 106, 116339, 78228, 71208, 107301, 114052, 16144, 88399, 99, 36761, 50534, 99, 39177, 17297, 16144, 104378, 101511, 118729, 119375, 121819, 220, 5313, 100844, 102, 111158, 58850, 104284, 24186, 5486, 104500, 110622, 110022, 46091, 104817, 107301, 101402, 50211, 106390, 102669, 106106, 106968, 23538, 16144, 23530, 70821, 104654, 36761, 113992, 124364, 5486, 104378, 5486, 78943, 45893, 5486, 105060, 102456, 101987, 220, 4218, 119361, 105635, 31958, 101908, 107301, 102669, 106106, 91875, 102351, 19732, 116875, 108324, 36761, 107668, 107263, 91875, 102351, 5486, 116875, 198, 9, 220, 24, 59983, 70277, 109076, 113146, 117158, 103646, 114407, 70821, 113115, 54926, 105060, 102456, 101987, 101983, 67645, 20230, 104398, 121867, 106045, 23187, 30512, 102332, 107674, 102944, 30512, 99849, 102677, 11571, 220, 605, 59983, 101402, 50211, 106390, 102669, 106106, 74482, 3922, 102433, 29295, 118326, 30512, 18904, 109095, 56051, 40089, 103664, 30512, 102971, 102189, 127164, 16144, 113949, 15682, 116414, 11571, 220, 16, 12, 605, 16144, 50338, 103899, 102416, 26063, 16144, 122481, 102416, 220, 806, 59983, 10513, 17, 8107, 42275, 25197, 104603, 112997, 16556, 72718, 50834, 20517, 105961, 41401, 61337, 44915, 108134, 105180, 107707, 105060, 102456, 101987, 16144, 60634, 31431, 104721, 116547, 30512, 115132, 125581, 9458, 101402, 50211, 106390, 102669, 106106, 16144, 25580, 74482, 16556, 91774, 57106, 103854, 33541, 1811, 102669, 106106, 16144, 117375, 16556, 17792, 104680, 16144, 104654, 29295, 67645, 119775, 104721, 33208, 109768, 100472, 104865, 104088 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 123470, 102456, 104654, 13, 125389, 16144, 105509, 34171, 29295, 39135, 104680, 19732, 99397, 126832, 113146, 115717, 79721, 1811, 13, 125389, 30926, 15682, 104654, 102052, 124490, 32149, 72342, 100604, 102944, 38641, 15024, 5486, 109467, 33014, 32943, 109156, 30369, 102944, 26854, 105879, 101365, 106613, 105284, 108176, 123017, 71289, 104004, 30512, 50928, 107515, 1811, 13, 125389, 103854, 53953, 16144, 106592, 113727, 101732, 126101, 5486, 105721, 102669, 123470, 102433, 116537, 67645, 120950, 102456, 104654, 30512, 39926, 13, 112119, 50211, 106390, 102669, 106106, 29295, 125119, 100472, 114667, 103306, 15682, 5486, 106135, 33671, 102616, 27384, 102669, 29295, 125119, 103836, 126101, 112119, 50211, 106390, 102669, 106106, 16325, 124911, 104680, 16144, 127331, 124949, 125389, 103854, 53953, 16556, 111800, 52084, 56051, 113702, 105490, 226, 16, 11, 11139, 11, 931, 14558, 220, 16, 122481, 30832, 115338, 102416, 871, 220, 30813, 29295, 17663, 25800, 120795, 112508, 62903, 125024, 65575, 124905, 30297, 124928, 250, 52084, 113702, 122481, 16556, 5486, 116974, 29295, 102769, 115032, 13, 112119, 50211, 106390, 102669, 106106, 16325, 5486, 29504, 70821, 15682, 67645, 103171, 102944, 30512, 125764, 101732, 16144, 220, 6393, 16, 8107, 19, 9953, 20230, 111344, 16556, 5486, 73361, 16144, 55487, 110698, 44416, 29295, 27704, 109709, 5486, 111717, 20230, 108285, 29295, 107462, 50834, 79721, 1811, 85707, 18049, 223, 15682, 5486, 806, 21909, 1399, 102280, 16144, 118374, 122485, 107294, 50834, 16, 117816, 17, 220, 48154, 30297, 108825, 18, 220, 116826, 47884, 107964, 118, 10110, 10568, 111134, 91062, 120732, 111017, 40862, 16556, 220, 56051, 29295, 5486, 21105, 254, 119178, 114485, 76947, 627, 50534, 99, 39177, 17297, 16144, 127331, 124949, 13, 125389, 100853, 100, 111108, 112119, 50211, 106390, 102669, 106106, 77181, 102669, 91077, 16144, 109161, 33208, 19732, 107173, 20230, 127512, 71289, 102456, 42506, 112828, 40474, 32977, 109161, 115737, 31431, 17792, 104680, 15682, 55487, 110698, 107001, 126654, 107188, 73361, 20230, 45893, 105588, 107, 16144, 102212, 105301, 104309, 30512, 107960, 112371, 38144, 53610, 108005, 121, 16995, 122202, 100479, 232, 104309, 30512, 17663, 105883, 18049, 232, 121771, 30591, 25827, 119707, 100204, 30369, 102677, 124519, 106968, 26854, 102456, 30926, 29295, 115079, 105262, 18049, 230, 30297, 115717, 79721, 112004, 13, 220, 27929, 81219, 102571, 16144, 123628, 23039, 32218, 13, 10447, 96, 107, 102212, 110203, 100, 71208, 27798, 510, 50211, 34208, 9458, 98499, 102181, 9080, 61304, 9458, 109832, 19967, 9458, 12380, 25750, 18630, 109, 100, 71208, 16144, 31809, 108323, 104309, 30512, 3202, 1811, 117501, 109606, 20230, 102669, 106106, 9458, 53229, 102404, 30512, 0, 117501, 109606, 50338, 104662, 20230, 121302, 121930, 15682, 109947, 124490, 0, 84499, 51330, 76739, 104612, 15682, 5486, 1399, 9080, 56965, 80172, 83932, 29295, 43568, 16995, 107803, 20230, 52563, 84389, 33541, 1811, 77219, 30512, 80172, 83932, 112990, 5486, 52563, 84389, 123733, 31431, 33541, 50534, 99, 106106, 126867, 127242, 54926, 102456, 42506, 30512, 111983, 30297, 113009, 3922, 111279, 107983, 108171, 104674, 29295, 28194, 101, 119680, 103646, 113637, 108171, 104674, 15682, 13177, 104284, 60632, 13, 78507, 96, 102456, 101987, 30512, 13177, 17792, 110792, 59739, 105722, 31431, 10646, 55031, 78698, 107290, 64121, 30369, 1811, 106222, 34171, 29295, 126920, 27384, 30926, 126529, 38641, 1811, 78507, 96, 102456, 101987, 107118, 78183, 28713, 56051, 43514, 16144, 104654, 16144, 75146, 114457, 117282, 102944, 38641, 1811, 220, 101182, 115552, 5486, 104654, 27929, 78507, 96, 102456, 101987, 90581, 43511, 112498, 67645, 102944, 127331, 124949, 112119, 50211, 106390, 102669, 106106, 97718, 119400, 117255, 67645, 102944, 127331, 124949, 220, 108044, 108477, 105, 40003, 242, 104626, 109, 106711, 119767, 112656, 111199, 120332, 78244, 43444, 79785, 71174, 41401, 7705, 220, 121538, 119736, 104974, 237, 106894, 9458, 102465, 111199, 16144, 91875, 117430, 115752, 31640, 9458, 16325, 101083, 16144, 8107, 21405, 118830, 101083, 12, 27384, 37656, 16144, 8107, 21405, 40003, 255, 34208, 16144, 8107, 21405, 105355, 13153, 16144, 8107, 21405, 40003, 242, 16144, 43167, 102936, 111629, 121921, 31938, 115, 16144, 70821, 77913, 469, 1242, 3097, 220, 115303, 33503, 48154, 19732, 627, 39880, 125581, 9458, 101402, 50211, 106390, 102669, 106106, 15682, 5486, 17792, 104680, 16144, 104654, 30512, 119448, 47884, 104721, 118306, 107726, 28713, 109900, 15682, 102433, 17792, 20230, 48249, 121140, 115132, 125581, 120328, 29504, 30512, 108295, 100204, 62004, 5486, 102669, 106106, 20230, 112959, 50834, 104526, 17129, 103468, 9039, 43240, 119064, 17792, 104680, 16144, 104654, 106004, 43240, 27384, 26854, 117375, 30512, 58318, 107800, 1811, 102433, 20230, 48249, 76947, 64121, 104533, 5486, 27452, 220, 116285, 34, 27538, 10110, 6393, 24, 104023, 6280, 15, 11, 220, 6280, 16, 7705, 103732, 33121, 13, 109450, 70821, 114341, 103605, 101402, 50211, 106390, 102669, 106106, 106968, 23538, 16144, 23530, 70821, 104654, 551, 102304, 35894, 124364, 9458, 104378, 9458, 78943, 45893, 9458, 105060, 102456, 101987, 26123, 100844, 102, 111158, 58850, 104284, 24186, 11, 115718, 110622, 110022, 46091, 104817, 18630, 111, 102, 16144, 105466, 102181, 102064, 11, 220, 4468, 22, 13, 18, 112084, 78983, 33710, 103283, 13372, 112119, 50211, 106390, 102669, 106106, 106968, 23538, 16144, 23530, 70821, 104654, 551, 109450, 70821, 114341, 103605, 551, 113992, 124364, 9458, 104378, 9458, 78943, 45893, 9458, 105060, 102456, 101987, 112084, 78983, 33710, 98499, 64121, 106030, 101198, 16073, 68042, 65299, 103988, 112084, 25197, 108768, 25197, 112673, 65299, 113978, 16073, 102741, 65299, 106982, 26269, 62903, 108474, 106030, 101198, 16073, 113978, 25197, 71493, 103223, 551, 116381, 65299, 107271, 65299, 109949, 13, 220, 28713, 102802, 28713, 102802, 91774, 107875, 126832, 109688, 101513, 15682, 5486, 78183, 28713, 56051, 43514, 16144, 106222, 71289, 104654, 30512, 13177, 112825, 72238, 33208, 10646, 124545, 102083, 123671, 33541, 1811, 107943, 13177, 112825, 72238, 33208, 10646, 112028, 79982, 30512, 30297, 32149, 29295, 105262, 31809, 119752, 45829, 115991, 33541, 66327, 123671, 120577, 105060, 102456, 101987, 77413, 111182, 38093, 66383, 104482, 103646, 58426, 31809, 119752, 124863, 5486, 6280, 15, 116033, 87447, 113497, 103646, 42016, 13372, 16144, 77413, 111182, 38093, 16144, 80805, 118804, 123167, 16556, 56051, 198, 9, 112119, 50211, 106390, 102669, 106106, 106968, 23538, 16144, 23530, 70821, 104654, 113992, 124364, 9458, 104378, 9458, 78943, 45893, 9458, 105060, 102456, 101987, 109450, 70821, 114341, 103605, 100844, 102, 111158, 58850, 104284, 24186, 55999, 104817, 18630, 111, 102, 16144, 105466, 102181, 102064, 220, 4468, 22, 18049, 237, 33121, 123671, 125030, 76947, 13177, 106656, 29295, 31640, 66383, 15682, 26854, 112649, 103774, 104261, 105242, 106106, 16144, 125683, 62004, 112656, 17905, 37656, 101908, 55999, 104817, 18630, 111, 102, 16144, 105466, 102181, 102064, 220, 4468, 22, 20517, 806, 105841, 97049, 58699, 105, 16144, 84264, 117, 103043, 231, 100702, 243, 102687, 117758, 110322, 78244, 18630, 230, 112, 76505, 198, 102669, 17297, 16144, 44971, 57207, 70563, 112119, 50211, 106390, 102669, 106106, 17297, 16144, 102456, 30512, 53283, 30369, 13, 32386, 236, 105635, 58666, 106618, 45829, 13, 112002, 7261, 17, 10110, 85188, 104526, 7705, 13, 96407, 115844, 16, 5232, 17, 119752, 103296, 220, 100066, 8610, 35757, 56040, 13, 72588, 717, 11, 931, 71689, 16144, 109198, 17701, 16556, 115052, 13, 220, 100066, 109853, 15682, 117896, 13, 116056, 47043, 109853, 33334, 99397, 16995, 114146, 13, 101961, 76208, 8107, 102669, 106106, 17297, 5486, 108968, 102769, 104028, 100909, 103470, 107680, 23039, 103646, 122924, 17792, 122202, 116044, 16144, 122735, 77219, 15682, 13, 112119, 50211, 106390, 102669, 106106, 77181, 5486, 49409, 119194, 22656, 74090, 20230, 102669, 80699, 15682, 102717, 19732, 124592, 33334, 57980, 81219, 104435, 102944, 16144, 5486, 115638, 508, 8107, 22, 9953, 975, 21909, 868, 9080, 5486, 45893, 32943, 1987, 23530, 102865, 101634, 29295, 35894, 124364, 30512, 30297, 107674, 1811, 17297, 49409, 103268, 102687, 123746, 20230, 1032, 37795, 119, 16144, 35894, 103760, 104336, 29295, 102321, 33121, 5486, 43568, 9039, 16144, 111900, 17905, 101513, 30512, 15120, 7741, 231, 20230, 102404, 103130, 107726, 5486, 102452, 108655, 103354, 20230, 95475, 117856, 16325, 16144, 111900, 106670, 29295, 107666, 120299, 103646, 198, 9, 8339, 16556, 103856, 111158, 58850, 107964, 251, 24186, 12594, 115718, 110622, 116201, 237, 46091, 16144, 101402, 50211, 106390, 102669, 106106, 106968, 23538, 16144, 23530, 70821, 104654, 63072, 35894, 124364, 9458, 104378, 9458, 78943, 45893, 9458, 105060, 102456, 101987, 109450, 70821, 114341, 103605, 320, 4468, 22, 8107, 8, 1811, 39880, 68759, 118091, 16073, 105110, 120098, 109818, 24186, 22656, 29295, 43240, 9039, 1811, 103856, 111158, 58850, 107964, 251, 24186, 11, 115718, 110622, 116201, 237, 46091, 106942, 102717, 32149, 108948, 105047, 105557, 102924, 103359, 47523, 47043, 15682, 40265, 9080, 33334, 109948, 76622, 32977, 88367, 118855, 101402, 50211, 220, 220, 5958, 8107, 123470, 110901, 16144, 9080, 10646, 29295, 116348, 121118, 1811, 106135, 33671, 27384, 102669, 17297, 16556, 13177, 115406, 10646, 15682, 99849, 30512, 125764, 117119, 30512, 114284, 106272, 103188, 48154, 39926, 105898, 120900, 1811, 114565, 114626, 16144, 105140, 5486, 124730, 15682, 115303, 59739, 13, 112119, 50211, 106390, 102669, 106106, 19732, 122088, 102687, 48, 120740, 32, 101370, 95, 27384, 35894, 124364, 16556, 23530, 104773, 30590, 25766, 225, 115534, 20230, 123697, 105694, 234, 80195, 127078, 104517, 9458, 104500, 105243, 48864, 117813, 102351, 20230, 104655, 47884, 45631, 17663, 101860, 98369, 10646, 91774, 59739, 107441, 116564, 74482, 32977, 80172, 83932, 119890, 43167, 116056, 66378, 43167, 98897, 55723, 13177, 102669, 39177, 17297, 16144, 127331, 124949, 105864, 246, 125534, 104865, 76622, 33503, 30512, 43167, 107436, 10646, 15682, 5486, 111717, 16144, 106848, 112810, 71289, 52371, 42, 5486, 111234, 52884, 39850, 125380, 82420, 717, 61337, 20230, 18049, 230, 30369, 13, 112119, 50211, 106390, 102669, 106106, 16325, 16144, 127880, 113261, 16995, 102669, 106106, 33014, 111186, 0, 46729, 16144, 49792, 101908, 71289, 80631, 100, 102800, 127331, 124949, 109853, 0, 40003, 255, 34208, 508, 8107, 7, 6393, 20, 8107, 8, 23, 9953, 868, 9080, 105721, 102669, 110276, 58426, 9080, 115408, 15682, 23, 102280, 20230, 116422, 100472, 122416, 16556, 56051, 1811, 116056, 101402, 50211, 106390, 102669, 106106, 29295, 27704, 117864, 104468, 115638, 845, 8107, 10110, 6393, 16, 8107, 7705, 717, 9953, 22, 9080, 19732, 117952, 33121, 33541, 55031, 53953, 64209, 59739, 102334, 39177, 55031, 102669, 106106, 89151, 42891, 92780, 16325, 103351, 102677, 100909, 115717, 33541, 50534, 99, 74482, 74245, 123470, 102433, 0, 17129, 30813, 106624, 80631, 100, 18259, 237, 16144, 67645, 25827, 104792, 116787, 5486, 112832, 32977, 29295, 107202, 67016, 100472, 0, 40003, 255, 34208, 508, 8107, 23, 9953, 868, 9080, 123085, 15682, 102669, 106106, 20230, 109972, 107441, 5486, 116414, 32977, 32149, 21105, 241, 32977, 123307, 76622, 102212, 53229, 117084, 103801, 16995, 79721, 1811, 102669, 106106, 16556, 101890, 254, 17044, 110, 117084, 109988, 115737, 100472, 17792, 32977, 27384, 110095, 20834, 38144, 110371, 39177, 102433, 116537, 108031, 41920, 27479, 19732, 102669, 106106, 15682, 17663, 125231, 110034, 19732, 104195, 47884, 114284, 79721, 198, 51330, 39880, 125581, 101402, 50211, 106390, 102669, 106106, 15682, 115638, 508, 8107, 23, 9953, 868, 9080, 103296, 106307, 102334, 1811, 105721, 102669, 101983, 114598, 21105, 108, 124749, 15682, 105060, 102456, 101987, 20230, 16937, 111764, 56051, 106592, 42016, 91739, 241, 21990, 127282, 103435, 238, 32149, 21105, 123, 5486, 102669, 106106, 20230, 33671, 104699, 102669, 106106, 16144, 26854, 32149, 30512, 114652, 106759, 127282, 101662, 38144, 38144, 122396, 114318, 108901, 40526, 42016, 79785, 20230, 102158, 31431, 40862, 100472, 50534, 99, 106106, 16325, 5486, 103572, 38574, 33035, 111331, 104654, 30512, 107113, 107707, 87177, 30512, 104655, 105898, 16995, 482, 102669, 106106, 16325, 104799, 115, 74090, 30512, 30813, 104699, 30369, 38093, 20251, 103830, 122481, 51431, 2304, 18476, 30832, 33671, 50534, 99, 39177, 17297, 16144, 114407, 101634, 104654, 120590, 110698, 114305, 30512, 36668, 103306, 65218, 101634, 109367, 105330, 108295, 100204, 62004, 20230, 116056, 83932, 15682, 115515, 33671, 101402, 50211, 106390, 102669, 106106, 17297, 5486, 103842, 225, 74482, 114407, 101634, 104654, 16144, 107202, 119895, 16144, 114172, 102512, 112028, 79982, 30512, 5486, 36668, 103306, 55487, 110698, 114305, 16144, 28190, 55031, 106116, 127749, 30512, 86127, 104067, 16144, 33014, 111186, 56051, 102944, 13, 112119, 50211, 106390, 5486, 101402, 50211, 106390, 102669, 106106, 220, 5833, 111909, 106, 116339, 78228, 71208, 107301, 114052, 16144, 88399, 99, 36761, 50534, 99, 39177, 17297, 16144, 104378, 101511, 118729, 119375, 121819, 220, 5313, 100844, 102, 111158, 58850, 104284, 24186, 5486, 104500, 110622, 110022, 46091, 104817, 107301, 101402, 50211, 106390, 102669, 106106, 106968, 23538, 16144, 23530, 70821, 104654, 36761, 113992, 124364, 5486, 104378, 5486, 78943, 45893, 5486, 105060, 102456, 101987, 220, 4218, 119361, 105635, 31958, 101908, 107301, 102669, 106106, 91875, 102351, 19732, 116875, 108324, 36761, 107668, 107263, 91875, 102351, 5486, 116875, 198, 9, 220, 24, 59983, 70277, 109076, 113146, 117158, 103646, 114407, 70821, 113115, 54926, 105060, 102456, 101987, 101983, 67645, 20230, 104398, 121867, 106045, 23187, 30512, 102332, 107674, 102944, 30512, 99849, 102677, 11571, 220, 605, 59983, 101402, 50211, 106390, 102669, 106106, 74482, 3922, 102433, 29295, 118326, 30512, 18904, 109095, 56051, 40089, 103664, 30512, 102971, 102189, 127164, 16144, 113949, 15682, 116414, 11571, 220, 16, 12, 605, 16144, 50338, 103899, 102416, 26063, 16144, 122481, 102416, 220, 806, 59983, 10513, 17, 8107, 42275, 25197, 104603, 112997, 16556, 72718, 50834, 20517, 105961, 41401, 61337, 44915, 108134, 105180, 107707, 105060, 102456, 101987, 16144, 60634, 31431, 104721, 116547, 30512, 115132, 125581, 9458, 101402, 50211, 106390, 102669, 106106, 16144, 25580, 74482, 16556, 91774, 57106, 103854, 33541, 1811, 102669, 106106, 16144, 117375, 16556, 17792, 104680, 16144, 104654, 29295, 67645, 119775, 104721, 33208, 109768, 100472, 104865, 104088 ]
[ 100481, 50834, 106272, 5486, 50211, 34208, 16144, 30358, 64121, 30512, 113727, 33541, 1811, 112562, 33671, 220, 67645, 103171, 113146, 67645, 103171, 47884, 124949, 107429, 111, 31431, 100604, 105060, 102456, 101987, 55031, 13177, 102494, 26269, 107507, 96452, 25197, 10646, 102416, 78507, 96, 10110, 34208, 44309, 55031, 106390, 44309, 102416, 26016, 111482, 627, 102433, 16144, 115232, 84264, 250, 18655, 121247, 117714, 124858, 19732, 24273, 13393, 251, 115857, 101701, 126953, 15120, 108295, 100204, 62004, 20230, 112119, 50211, 106390, 102669, 106106, 125344, 102433, 103472, 111848, 115232, 84264, 250, 16144, 18655, 121247, 16995, 114556, 39926, 15682, 21388, 113529, 115287, 102677, 107624, 95001, 29295, 108936, 44689, 103195, 1811, 102433, 103472, 15682, 67645, 120950, 24273, 13393, 251, 16556, 51330, 115232, 84264, 250, 18655, 121247, 16995, 102677, 109606, 20230, 122678, 102189, 105879, 30591, 103950, 32149, 198, 9, 109481, 102, 106894, 102181, 72516, 118007, 124949, 30512, 126910, 103854, 30369, 118007, 124949, 95371, 118007, 33503, 103854, 30369, 220, 16, 78507, 96, 102456, 101987, 97718, 220, 30297, 59739, 31431, 32149, 116547, 110909, 240, 101129, 23530, 109544, 104517, 220, 17272, 20363, 19869, 22588, 24, 220, 5926, 23879, 6889, 931, 18, 34526, 17272, 12, 19, 12, 14374, 12, 25620, 806, 12, 24, 356, 23879, 16, 72588, 3101, 15, 36, 109481, 102, 106894, 102181, 72516, 111971, 95001, 7, 22656, 33014, 18, 12594, 931, 35757, 10, 85188, 8, 115752, 164, 16281, 111366, 110911, 112243, 245, 102491, 164, 16281, 111366, 110911, 112243, 245, 78507, 96, 102456, 101987, 16144, 220, 30297, 59739, 31431, 32149, 116547, 51431, 71567, 94, 34048, 122335, 33671, 102616, 27384, 102669, 63072, 102433, 30512, 104356, 20230, 220, 4513, 51431, 16, 46028, 122335, 33671, 102616, 27384, 102669, 107118, 99849, 115287, 104865, 114147, 101701, 107662, 108295, 100204, 62004, 20230, 51431, 111573, 102616, 27384, 102669, 74482, 5486, 127123, 106222, 15682, 102669, 106106, 16144, 103911, 103181, 121254, 107441, 103826, 104680, 26854, 46034, 121697, 30512, 78698, 81742, 39926, 105898, 1811, 27929, 18049, 234, 15682, 33334, 57980, 27929, 33671, 16144, 76208, 118821, 102669, 106106, 103911, 103181, 105226, 20230, 627, 105060, 102456, 101987, 55031, 39880, 84477, 52884, 48552, 103296, 36896, 127331, 33503, 119432, 22656, 102571, 118587, 57933, 108941, 20230, 5486, 108064, 102944, 9080, 40053, 20230, 103311, 31431, 30512, 21601, 107290, 124089, 22656, 30512, 108167, 21441, 225, 107290, 61689, 50534, 99, 106106, 15682, 29504, 19732, 29504, 110792, 106106, 16995, 119627, 5486, 103350, 104983, 20230, 102669, 30590, 20230, 28425, 112, 50834, 5486, 102669, 119895, 117824, 30297, 104468, 17792, 38641, 124845, 5486, 114737, 16144, 121551, 114475, 105784, 123017, 17792, 38641, 112119, 50211, 106390, 102669, 106106, 53508, 225, 102404, 0, 17039, 73361, 118597, 104443, 5486, 30250, 224, 20230, 102669, 75267, 124259, 70141, 32149, 30297, 112119, 50211, 106390, 102669, 106106, 16144, 103698, 122561, 0, 109949, 122407, 102687, 125844, 56906, 19967, 102669, 51431, 17, 18904, 50534, 99, 29504, 105964, 38093, 39276, 29295, 106581, 39276, 103787, 45163, 20230, 115320, 64121, 104526, 17129, 103468, 0, 56040, 102669, 66953, 71493, 126027, 21388, 113529, 107118, 0, 11571, 56040, 110502, 224, 27869, 245, 100990, 122, 16144, 114172, 102512, 9458, 108385, 105350, 30591, 59739, 62004, 51431, 21, 220, 125743, 101402, 50211, 106390, 102669, 106106, 16325, 5486, 109054, 124535, 102687, 15682, 106266, 102669, 30590, 103351, 1811, 106773, 25197, 124535, 15682, 102433, 20230, 60358, 16995, 105879, 5486, 32977, 21105, 241, 22957, 29295, 127164, 16144, 124475, 120175, 38144, 114732, 19732, 13177, 22656, 74090, 108947, 107666, 10646, 29295, 23039, 78183, 106824, 114732, 109688, 117126, 34171, 29295, 19732, 111243, 45736, 102518, 59459, 103350, 104983, 111344, 27384, 35894, 124364, 110162, 29295, 125119, 30369, 198, 123746, 102057, 226, 102669, 13, 220, 6393, 16, 121560, 845, 7705, 116033, 27704, 117864, 101402, 50211, 106390, 102669, 106106, 29295, 105721, 78183, 30369, 6393, 20, 121560, 508, 7705, 8107, 123085, 103472, 19732, 127164, 103472, 121142, 103470, 5486, 101987, 70821, 122617, 30512, 17129, 50834, 69847, 36785, 102669, 16995, 29295, 5486, 123746, 102057, 226, 77181, 18, 71493, 9953, 71689, 106307, 50834, 79721, 1811, 13, 116056, 13177, 123746, 102057, 226, 102669, 10646, 113468, 123733, 100472, 116537, 5486, 123746, 102057, 226, 16144, 101987, 70821, 24, 32307, 19, 11, 931, 17792, 5486, 123746, 102057, 226, 20834, 96356, 30046, 32977, 13, 26063, 19645, 45631, 106515, 72342, 26854, 92877, 74482, 118587, 37705, 30369, 101399, 102052, 117119, 29295, 109215, 123253, 32149, 11571, 106369, 35330, 9458, 113614, 9458, 110999, 103868, 9458, 105060, 102456, 101987, 9458, 33334, 101083, 87177, 30512, 39926, 124089, 17792, 11571, 220, 102422, 108695, 101678, 103005, 60868, 109229, 123141, 100529, 240, 23215, 12, 6726, 19, 126730, 23530, 50211, 102212, 24775, 124743, 105150, 16, 12, 24, 12, 1544, 350, 2818, 220, 2705, 12, 21218, 15, 12, 24425, 21, 435, 3027, 220, 2705, 12, 25136, 24, 12, 9588, 112119, 50211, 106390, 102669, 106106, 20230, 120299, 102189, 16, 18476, 101513, 10110, 102769, 64889, 101513, 19732, 103302, 101513, 16144, 109753, 120732, 31640, 78183, 112586, 105047, 117201, 17, 18476, 101513, 30512, 114835, 15024, 110745, 102138, 103214, 20230, 108446, 109013, 110018, 102052, 17663, 16556, 20230, 64209, 15682, 104662, 17129, 106358, 1811, 9080, 55030, 20834, 109673, 49792, 32938, 10110, 101778, 107873, 123079, 49792, 101513, 16144, 25580, 96356, 119735, 5486, 109673, 119049, 117041, 101513, 20230, 83812, 255, 107441, 64121, 101200, 5486, 105464, 105459, 102052, 47260, 44971, 67016, 100604, 220, 21, 8107, 45631, 101544, 47884, 106307, 102334, 102669, 106106, 19732, 17792, 104680, 16144, 47884, 124949, 10646, 43444, 220, 16, 9953, 220, 22, 82973, 102849, 43444, 16, 7705, 103036, 110904, 24186, 16144, 112562, 105888, 116056, 110904, 24186, 15682, 48864, 108710, 64467, 106839, 31634, 108761, 16144, 44915, 7, 17, 8, 39880, 8172, 60868, 2432, 57207, 70615, 25197, 8172, 39880, 8, 20230, 75146, 109669, 102532, 23039, 30297, 76502, 16325, 102669, 106106, 71289, 37046, 29295, 29504, 114556, 78183, 30369, 106135, 33671, 102616, 27384, 102669, 104309, 30512, 46034, 115856, 107277, 20230, 101602, 29295, 29504, 19732, 59795, 110792, 102669, 16995, 29295, 123201, 33208, 56051, 100909, 71289, 3922, 89046, 40862, 29504, 110792, 102669, 16995, 111848, 113529, 102669, 3922, 108285, 102687, 627, 13177, 11743, 111, 114754, 91774, 28713, 101402, 50211, 106390, 102669, 106106, 10646, 103926, 29504, 11743, 111, 106808, 55031, 95543, 102669, 11743, 111, 106808, 103296, 30512, 11743, 107, 104921, 108, 54926, 220, 2366, 15, 8107, 22, 9953, 914, 9080, 220, 100204, 116186, 25827, 108477, 255, 102181, 70563, 107610, 33710, 61696, 239, 17905, 104149, 111398, 16144, 102616, 115718, 110622, 124625, 117739, 13177, 108064, 102944, 121410, 9080, 1811, 105060, 102456, 101987, 19732, 117876, 10646, 102832, 38248, 115, 48552, 26854, 102803, 52591, 105335, 106696, 13, 45631, 89154, 125540, 125380, 108134, 104517, 10646, 15682, 5486, 104873, 103854, 48864, 108710, 123410, 17905, 16556, 78683, 106240, 16144, 126574, 108134, 30512, 5486, 57933, 108941, 103283, 20230, 16, 119752, 20230, 123011, 109013, 48864, 108710, 109544, 43167, 16144, 114971, 38641, 1811, 117039, 71289, 111134, 52591, 104309, 5486, 47884, 78183, 102800, 109544, 29295, 119515, 105469, 16556, 5486, 67645, 103171, 104873, 103854, 48864, 108710, 105352, 115515, 114225, 107734, 118013, 33541, 1811, 220, 53900, 36896, 110022, 40862, 102718, 70626, 30926, 105586, 89154, 125540, 125380, 80019, 116952, 41401, 10646, 55031, 13177, 89154, 125540, 125380, 108134, 104517, 117503, 102208, 112959, 13, 350, 7497, 32131, 121714, 94632, 57207, 47307, 101335, 71493, 44971, 26269, 76428, 10110, 2366, 16, 14, 22, 14, 966, 7705, 116303, 101129, 120843, 109673, 120740, 119506, 101129, 27384, 111398, 105729, 16073, 102663, 103223, 86894, 227, 110022, 22649, 16144, 102333, 123, 122373, 104157, 10110, 19732, 102181, 102334, 33503, 60868, 33710, 15682, 102669, 106106, 21105, 103, 16995, 19732, 113799, 30369, 32149, 11571, 10110, 49838, 7705, 7705, 61304, 30046, 38093, 91774, 120270, 123085, 29295, 101402, 50211, 106390, 102669, 106106, 106968, 23538, 19732, 112361, 26854, 110115, 101365, 104346, 29295, 114408, 102532, 104284, 59739, 102677, 105933, 105465, 114181, 105242, 16144, 21105, 96, 104702, 32149, 62004, 42891, 104702, 32149, 5486, 86894, 227, 110022, 22649, 30512, 121355, 49988, 107726, 100604, 19732, 102433, 105150, 100990, 119, 16144, 33565, 101, 103397, 30512, 13, 50534, 99, 106106, 15682, 5486, 32335, 25580, 101911, 16144, 104443, 101559, 121142, 103470, 5486, 23530, 103932, 124911, 104680, 16144, 127331, 124949, 32977, 112959, 50834, 104526, 104127, 16995, 100472, 1811, 102669, 16325, 16144, 107795, 101129, 101523, 223, 17039, 78943, 103293, 107680, 13177, 104654, 19732, 106581, 10646, 25340, 226, 104309, 20230, 19012, 110, 107121, 103646, 105060, 102456, 101987, 16144, 627, 101544, 106344, 102185, 80699, 112345, 15682, 123085, 16144, 18, 27384, 102185, 80699, 112345, 112028, 59739, 38641, 1811, 17039, 103558, 253, 72099, 16556, 87447, 113497, 84389, 5486, 2031, 8107, 71689, 16144, 114172, 102512, 107407, 102185, 80699, 112345, 38641, 1811, 101544, 106344, 102185, 80699, 112345, 16144, 114172, 102512, 71289, 124858, 5486, 102185, 80699, 111363, 110284, 41007, 71289, 101523, 227, 48634, 109904, 102185, 80699, 30512, 126362, 78434, 111925, 102212, 72099, 102512, 109359, 102512, 104817, 51431, 103178, 112959, 118830, 31640, 46091, 105961, 41401, 5232, 2550, 15, 8107, 96555, 109898, 24186, 5232, 61337, 108638, 122491, 101544, 102212, 72099, 102512, 107680, 23039, 38093, 96555, 104817, 43167, 30046, 5232, 101544, 102212, 72099, 105588, 254, 107792, 112562, 33671, 18630, 16050, 114274, 46028, 105416, 103438, 68408, 102494, 107059, 57207, 115247, 103130, 77413, 19732, 115638, 109755, 127933, 220, 16, 114274, 107792, 109078, 45829, 110219, 102647, 123680, 19732, 110886, 117401, 220, 17, 101961, 109078, 45829, 110219, 102647, 123680, 25333, 16144, 102923, 112119, 50211, 106390, 102669, 106106, 16556, 56235, 103472, 115287, 108553, 102687, 112840, 105330, 29295, 5486, 102669, 74482, 121299, 107430, 56051, 58911, 83799, 72099, 11795, 223, 30512, 1758, 97049, 16556, 56906, 107430, 15024, 5486, 58911, 83799, 23530, 103234, 76505, 102865, 10110, 112599, 16144, 31809, 111600, 102147, 226, 102865, 7705, 20230, 105060, 102456, 101987, 107809, 55031, 15120, 87217, 15682, 100204, 62004, 117083, 36896, 17792, 104680, 16144, 96356, 30512, 99741, 30297, 109832, 67178, 118587, 54926, 124122, 105060, 42506, 25446, 30512, 108167, 121247, 30297, 99397, 102571, 30512, 109832, 101275, 1811, 220, 6280, 15, 8107, 10110, 110401, 109517, 112, 30358, 26854, 102780, 122561, 30512, 33671, 101083, 31640, 20230, 120321, 105005, 54926, 113009, 105864, 255, 105465, 102865, 101544, 122345, 105635, 73361, 71005, 13, 125283, 107680, 103732, 127397, 105864, 255, 105465, 102865, 104760, 38093, 104760, 101544, 122345, 105635, 107795, 104577, 13, 66827, 94, 27452, 13, 63091, 61994, 13, 114274, 46028, 123602, 74090, 220, 18, 13, 114274, 46028, 114274, 107792, 105416, 83799, 220, 18, 13, 114274, 46028, 114274, 107792, 101961, 220, 82912, 19732, 124175, 220, 18, 13, 114274, 46028, 122335, 107792, 105416, 105284, 220, 717, 13, 114274, 46028, 123906, 107792, 103241, 245, 47523, 220, 777, 198, 115641, 40526, 51385, 121032, 19732, 101402, 50211, 106390, 102669, 106106, 123835, 105635, 15120, 60632, 102700, 13420, 121224, 220, 1049, 24, 109432, 104517, 220, 17, 106090, 122411, 220, 21056, 13, 1627, 101370, 119, 622, 220, 30813, 57980, 105110, 27869, 249, 106106, 90581, 103787, 99741, 50338, 21418, 114754, 106198, 233, 28713, 102616, 16144, 102321, 103350, 90581, 10110, 975, 97049, 16144, 101083, 98359, 94, 31431, 103991, 7705, 114883, 110095, 106894, 126053, 71005, 102700, 111463, 20834, 102181, 102064, 17039, 61337, 220, 1049, 24, 73958, 106442, 104517, 220, 17, 106090, 106222, 220, 16874, 101370, 119, 735, 106419, 104517, 35469, 238, 109421, 79250, 220, 16874, 101370, 119, 735, 13, 662, 78507, 96, 102456, 101987, 16144, 18, 50, 113495, 13, 105141, 5232, 679, 23, 8107, 20, 9953, 868, 9080, 13, 220, 4468, 17, 8107, 20, 9953, 868, 9080, 13, 103879, 244, 102057, 226, 109095, 112454, 61304, 104611, 9080, 103195, 13, 105180, 15682, 101402, 50211, 106390, 102669, 106106, 20230, 113529, 106824, 13, 108263, 75863, 16144, 127164, 106581, 29295, 17701, 76947, 124284, 16144, 103195, 13, 220, 80539, 13, 107879, 224, 102669, 74482, 13, 49854, 228, 111201, 40003, 255, 34208, 85707, 23538, 16144, 102433, 15682, 5486, 7285, 16, 116358, 112624, 55139, 30926, 104721, 10110, 17129, 25827, 15024, 116186, 30297, 100204, 102416, 25827, 7705, 55031, 5486, 40053, 20230, 102669, 106106, 121894, 20230, 57903, 79721, 1811, 101544, 23538, 33208, 54926, 102669, 106106, 113115, 106608, 54926, 103846, 5486, 103087, 35330, 19732, 53953, 103087, 15682, 5486, 104443, 32648, 16144, 21990, 106518, 20230, 104622, 61826, 112535, 111017, 31431, 40265, 38144, 110071, 101200, 101983, 107462, 50834, 33541, 1811, 7285, 23, 8107, 102052, 13177, 106444, 110022, 91875, 102351, 25333, 10110, 22957, 42891, 32149, 102131, 104405, 16995, 25827, 118881, 7705, 10646, 29295, 44416, 23187, 84389, 5486, 122617, 16144, 103087, 39084, 15682, 627, 101402, 50211, 106390, 102669, 106106, 16325, 5486, 29504, 70821, 15682, 67645, 103171, 47884, 124949, 30512, 107113, 16144, 91576, 251, 101067, 105156, 44416, 29295, 5486, 33541, 33541, 50834, 102802, 106624, 26854, 100472, 76502, 16325, 102669, 106106, 29295, 27704, 17129, 76947, 55031, 5486, 118729, 9458, 78244, 105242, 111363, 220, 36785, 25827, 30591, 59739, 53606, 122, 121819, 29295, 5486, 33541, 33541, 50834, 102802, 106624, 26854, 31431, 5486, 105212, 116474, 103472, 30512, 220, 104328, 15682, 25827, 47850, 117, 106053, 56051, 116537, 36896, 112031, 42891, 108895, 110325, 45736, 66383, 57980, 81219, 33121, 112119, 50211, 106390, 220, 106956, 102416, 16995, 101200, 50534, 99, 106106, 220, 72342, 25827, 102131, 107879, 113, 22656, 107879, 224, 102971, 118203, 116186, 30297, 76622, 59739, 220, 103296, 7705, 108477, 252, 31431, 108044, 105262, 39880, 125581, 9458, 101402, 50211, 106390, 102669, 106106, 91482, 115478, 107908, 220, 21, 78507 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 50834, 106272, 5486, 50211, 34208, 16144, 30358, 64121, 30512, 113727, 33541, 1811, 112562, 33671, 220, 67645, 103171, 113146, 67645, 103171, 47884, 124949, 107429, 111, 31431, 100604, 105060, 102456, 101987, 55031, 13177, 102494, 26269, 107507, 96452, 25197, 10646, 102416, 78507, 96, 10110, 34208, 44309, 55031, 106390, 44309, 102416, 26016, 111482, 627, 102433, 16144, 115232, 84264, 250, 18655, 121247, 117714, 124858, 19732, 24273, 13393, 251, 115857, 101701, 126953, 15120, 108295, 100204, 62004, 20230, 112119, 50211, 106390, 102669, 106106, 125344, 102433, 103472, 111848, 115232, 84264, 250, 16144, 18655, 121247, 16995, 114556, 39926, 15682, 21388, 113529, 115287, 102677, 107624, 95001, 29295, 108936, 44689, 103195, 1811, 102433, 103472, 15682, 67645, 120950, 24273, 13393, 251, 16556, 51330, 115232, 84264, 250, 18655, 121247, 16995, 102677, 109606, 20230, 122678, 102189, 105879, 30591, 103950, 32149, 198, 9, 109481, 102, 106894, 102181, 72516, 118007, 124949, 30512, 126910, 103854, 30369, 118007, 124949, 95371, 118007, 33503, 103854, 30369, 220, 16, 78507, 96, 102456, 101987, 97718, 220, 30297, 59739, 31431, 32149, 116547, 110909, 240, 101129, 23530, 109544, 104517, 220, 17272, 20363, 19869, 22588, 24, 220, 5926, 23879, 6889, 931, 18, 34526, 17272, 12, 19, 12, 14374, 12, 25620, 806, 12, 24, 356, 23879, 16, 72588, 3101, 15, 36, 109481, 102, 106894, 102181, 72516, 111971, 95001, 7, 22656, 33014, 18, 12594, 931, 35757, 10, 85188, 8, 115752, 164, 16281, 111366, 110911, 112243, 245, 102491, 164, 16281, 111366, 110911, 112243, 245, 78507, 96, 102456, 101987, 16144, 220, 30297, 59739, 31431, 32149, 116547, 51431, 71567, 94, 34048, 122335, 33671, 102616, 27384, 102669, 63072, 102433, 30512, 104356, 20230, 220, 4513, 51431, 16, 46028, 122335, 33671, 102616, 27384, 102669, 107118, 99849, 115287, 104865, 114147, 101701, 107662, 108295, 100204, 62004, 20230, 51431, 111573, 102616, 27384, 102669, 74482, 5486, 127123, 106222, 15682, 102669, 106106, 16144, 103911, 103181, 121254, 107441, 103826, 104680, 26854, 46034, 121697, 30512, 78698, 81742, 39926, 105898, 1811, 27929, 18049, 234, 15682, 33334, 57980, 27929, 33671, 16144, 76208, 118821, 102669, 106106, 103911, 103181, 105226, 20230, 627, 105060, 102456, 101987, 55031, 39880, 84477, 52884, 48552, 103296, 36896, 127331, 33503, 119432, 22656, 102571, 118587, 57933, 108941, 20230, 5486, 108064, 102944, 9080, 40053, 20230, 103311, 31431, 30512, 21601, 107290, 124089, 22656, 30512, 108167, 21441, 225, 107290, 61689, 50534, 99, 106106, 15682, 29504, 19732, 29504, 110792, 106106, 16995, 119627, 5486, 103350, 104983, 20230, 102669, 30590, 20230, 28425, 112, 50834, 5486, 102669, 119895, 117824, 30297, 104468, 17792, 38641, 124845, 5486, 114737, 16144, 121551, 114475, 105784, 123017, 17792, 38641, 112119, 50211, 106390, 102669, 106106, 53508, 225, 102404, 0, 17039, 73361, 118597, 104443, 5486, 30250, 224, 20230, 102669, 75267, 124259, 70141, 32149, 30297, 112119, 50211, 106390, 102669, 106106, 16144, 103698, 122561, 0, 109949, 122407, 102687, 125844, 56906, 19967, 102669, 51431, 17, 18904, 50534, 99, 29504, 105964, 38093, 39276, 29295, 106581, 39276, 103787, 45163, 20230, 115320, 64121, 104526, 17129, 103468, 0, 56040, 102669, 66953, 71493, 126027, 21388, 113529, 107118, 0, 11571, 56040, 110502, 224, 27869, 245, 100990, 122, 16144, 114172, 102512, 9458, 108385, 105350, 30591, 59739, 62004, 51431, 21, 220, 125743, 101402, 50211, 106390, 102669, 106106, 16325, 5486, 109054, 124535, 102687, 15682, 106266, 102669, 30590, 103351, 1811, 106773, 25197, 124535, 15682, 102433, 20230, 60358, 16995, 105879, 5486, 32977, 21105, 241, 22957, 29295, 127164, 16144, 124475, 120175, 38144, 114732, 19732, 13177, 22656, 74090, 108947, 107666, 10646, 29295, 23039, 78183, 106824, 114732, 109688, 117126, 34171, 29295, 19732, 111243, 45736, 102518, 59459, 103350, 104983, 111344, 27384, 35894, 124364, 110162, 29295, 125119, 30369, 198, 123746, 102057, 226, 102669, 13, 220, 6393, 16, 121560, 845, 7705, 116033, 27704, 117864, 101402, 50211, 106390, 102669, 106106, 29295, 105721, 78183, 30369, 6393, 20, 121560, 508, 7705, 8107, 123085, 103472, 19732, 127164, 103472, 121142, 103470, 5486, 101987, 70821, 122617, 30512, 17129, 50834, 69847, 36785, 102669, 16995, 29295, 5486, 123746, 102057, 226, 77181, 18, 71493, 9953, 71689, 106307, 50834, 79721, 1811, 13, 116056, 13177, 123746, 102057, 226, 102669, 10646, 113468, 123733, 100472, 116537, 5486, 123746, 102057, 226, 16144, 101987, 70821, 24, 32307, 19, 11, 931, 17792, 5486, 123746, 102057, 226, 20834, 96356, 30046, 32977, 13, 26063, 19645, 45631, 106515, 72342, 26854, 92877, 74482, 118587, 37705, 30369, 101399, 102052, 117119, 29295, 109215, 123253, 32149, 11571, 106369, 35330, 9458, 113614, 9458, 110999, 103868, 9458, 105060, 102456, 101987, 9458, 33334, 101083, 87177, 30512, 39926, 124089, 17792, 11571, 220, 102422, 108695, 101678, 103005, 60868, 109229, 123141, 100529, 240, 23215, 12, 6726, 19, 126730, 23530, 50211, 102212, 24775, 124743, 105150, 16, 12, 24, 12, 1544, 350, 2818, 220, 2705, 12, 21218, 15, 12, 24425, 21, 435, 3027, 220, 2705, 12, 25136, 24, 12, 9588, 112119, 50211, 106390, 102669, 106106, 20230, 120299, 102189, 16, 18476, 101513, 10110, 102769, 64889, 101513, 19732, 103302, 101513, 16144, 109753, 120732, 31640, 78183, 112586, 105047, 117201, 17, 18476, 101513, 30512, 114835, 15024, 110745, 102138, 103214, 20230, 108446, 109013, 110018, 102052, 17663, 16556, 20230, 64209, 15682, 104662, 17129, 106358, 1811, 9080, 55030, 20834, 109673, 49792, 32938, 10110, 101778, 107873, 123079, 49792, 101513, 16144, 25580, 96356, 119735, 5486, 109673, 119049, 117041, 101513, 20230, 83812, 255, 107441, 64121, 101200, 5486, 105464, 105459, 102052, 47260, 44971, 67016, 100604, 220, 21, 8107, 45631, 101544, 47884, 106307, 102334, 102669, 106106, 19732, 17792, 104680, 16144, 47884, 124949, 10646, 43444, 220, 16, 9953, 220, 22, 82973, 102849, 43444, 16, 7705, 103036, 110904, 24186, 16144, 112562, 105888, 116056, 110904, 24186, 15682, 48864, 108710, 64467, 106839, 31634, 108761, 16144, 44915, 7, 17, 8, 39880, 8172, 60868, 2432, 57207, 70615, 25197, 8172, 39880, 8, 20230, 75146, 109669, 102532, 23039, 30297, 76502, 16325, 102669, 106106, 71289, 37046, 29295, 29504, 114556, 78183, 30369, 106135, 33671, 102616, 27384, 102669, 104309, 30512, 46034, 115856, 107277, 20230, 101602, 29295, 29504, 19732, 59795, 110792, 102669, 16995, 29295, 123201, 33208, 56051, 100909, 71289, 3922, 89046, 40862, 29504, 110792, 102669, 16995, 111848, 113529, 102669, 3922, 108285, 102687, 627, 13177, 11743, 111, 114754, 91774, 28713, 101402, 50211, 106390, 102669, 106106, 10646, 103926, 29504, 11743, 111, 106808, 55031, 95543, 102669, 11743, 111, 106808, 103296, 30512, 11743, 107, 104921, 108, 54926, 220, 2366, 15, 8107, 22, 9953, 914, 9080, 220, 100204, 116186, 25827, 108477, 255, 102181, 70563, 107610, 33710, 61696, 239, 17905, 104149, 111398, 16144, 102616, 115718, 110622, 124625, 117739, 13177, 108064, 102944, 121410, 9080, 1811, 105060, 102456, 101987, 19732, 117876, 10646, 102832, 38248, 115, 48552, 26854, 102803, 52591, 105335, 106696, 13, 45631, 89154, 125540, 125380, 108134, 104517, 10646, 15682, 5486, 104873, 103854, 48864, 108710, 123410, 17905, 16556, 78683, 106240, 16144, 126574, 108134, 30512, 5486, 57933, 108941, 103283, 20230, 16, 119752, 20230, 123011, 109013, 48864, 108710, 109544, 43167, 16144, 114971, 38641, 1811, 117039, 71289, 111134, 52591, 104309, 5486, 47884, 78183, 102800, 109544, 29295, 119515, 105469, 16556, 5486, 67645, 103171, 104873, 103854, 48864, 108710, 105352, 115515, 114225, 107734, 118013, 33541, 1811, 220, 53900, 36896, 110022, 40862, 102718, 70626, 30926, 105586, 89154, 125540, 125380, 80019, 116952, 41401, 10646, 55031, 13177, 89154, 125540, 125380, 108134, 104517, 117503, 102208, 112959, 13, 350, 7497, 32131, 121714, 94632, 57207, 47307, 101335, 71493, 44971, 26269, 76428, 10110, 2366, 16, 14, 22, 14, 966, 7705, 116303, 101129, 120843, 109673, 120740, 119506, 101129, 27384, 111398, 105729, 16073, 102663, 103223, 86894, 227, 110022, 22649, 16144, 102333, 123, 122373, 104157, 10110, 19732, 102181, 102334, 33503, 60868, 33710, 15682, 102669, 106106, 21105, 103, 16995, 19732, 113799, 30369, 32149, 11571, 10110, 49838, 7705, 7705, 61304, 30046, 38093, 91774, 120270, 123085, 29295, 101402, 50211, 106390, 102669, 106106, 106968, 23538, 19732, 112361, 26854, 110115, 101365, 104346, 29295, 114408, 102532, 104284, 59739, 102677, 105933, 105465, 114181, 105242, 16144, 21105, 96, 104702, 32149, 62004, 42891, 104702, 32149, 5486, 86894, 227, 110022, 22649, 30512, 121355, 49988, 107726, 100604, 19732, 102433, 105150, 100990, 119, 16144, 33565, 101, 103397, 30512, 13, 50534, 99, 106106, 15682, 5486, 32335, 25580, 101911, 16144, 104443, 101559, 121142, 103470, 5486, 23530, 103932, 124911, 104680, 16144, 127331, 124949, 32977, 112959, 50834, 104526, 104127, 16995, 100472, 1811, 102669, 16325, 16144, 107795, 101129, 101523, 223, 17039, 78943, 103293, 107680, 13177, 104654, 19732, 106581, 10646, 25340, 226, 104309, 20230, 19012, 110, 107121, 103646, 105060, 102456, 101987, 16144, 627, 101544, 106344, 102185, 80699, 112345, 15682, 123085, 16144, 18, 27384, 102185, 80699, 112345, 112028, 59739, 38641, 1811, 17039, 103558, 253, 72099, 16556, 87447, 113497, 84389, 5486, 2031, 8107, 71689, 16144, 114172, 102512, 107407, 102185, 80699, 112345, 38641, 1811, 101544, 106344, 102185, 80699, 112345, 16144, 114172, 102512, 71289, 124858, 5486, 102185, 80699, 111363, 110284, 41007, 71289, 101523, 227, 48634, 109904, 102185, 80699, 30512, 126362, 78434, 111925, 102212, 72099, 102512, 109359, 102512, 104817, 51431, 103178, 112959, 118830, 31640, 46091, 105961, 41401, 5232, 2550, 15, 8107, 96555, 109898, 24186, 5232, 61337, 108638, 122491, 101544, 102212, 72099, 102512, 107680, 23039, 38093, 96555, 104817, 43167, 30046, 5232, 101544, 102212, 72099, 105588, 254, 107792, 112562, 33671, 18630, 16050, 114274, 46028, 105416, 103438, 68408, 102494, 107059, 57207, 115247, 103130, 77413, 19732, 115638, 109755, 127933, 220, 16, 114274, 107792, 109078, 45829, 110219, 102647, 123680, 19732, 110886, 117401, 220, 17, 101961, 109078, 45829, 110219, 102647, 123680, 25333, 16144, 102923, 112119, 50211, 106390, 102669, 106106, 16556, 56235, 103472, 115287, 108553, 102687, 112840, 105330, 29295, 5486, 102669, 74482, 121299, 107430, 56051, 58911, 83799, 72099, 11795, 223, 30512, 1758, 97049, 16556, 56906, 107430, 15024, 5486, 58911, 83799, 23530, 103234, 76505, 102865, 10110, 112599, 16144, 31809, 111600, 102147, 226, 102865, 7705, 20230, 105060, 102456, 101987, 107809, 55031, 15120, 87217, 15682, 100204, 62004, 117083, 36896, 17792, 104680, 16144, 96356, 30512, 99741, 30297, 109832, 67178, 118587, 54926, 124122, 105060, 42506, 25446, 30512, 108167, 121247, 30297, 99397, 102571, 30512, 109832, 101275, 1811, 220, 6280, 15, 8107, 10110, 110401, 109517, 112, 30358, 26854, 102780, 122561, 30512, 33671, 101083, 31640, 20230, 120321, 105005, 54926, 113009, 105864, 255, 105465, 102865, 101544, 122345, 105635, 73361, 71005, 13, 125283, 107680, 103732, 127397, 105864, 255, 105465, 102865, 104760, 38093, 104760, 101544, 122345, 105635, 107795, 104577, 13, 66827, 94, 27452, 13, 63091, 61994, 13, 114274, 46028, 123602, 74090, 220, 18, 13, 114274, 46028, 114274, 107792, 105416, 83799, 220, 18, 13, 114274, 46028, 114274, 107792, 101961, 220, 82912, 19732, 124175, 220, 18, 13, 114274, 46028, 122335, 107792, 105416, 105284, 220, 717, 13, 114274, 46028, 123906, 107792, 103241, 245, 47523, 220, 777, 198, 115641, 40526, 51385, 121032, 19732, 101402, 50211, 106390, 102669, 106106, 123835, 105635, 15120, 60632, 102700, 13420, 121224, 220, 1049, 24, 109432, 104517, 220, 17, 106090, 122411, 220, 21056, 13, 1627, 101370, 119, 622, 220, 30813, 57980, 105110, 27869, 249, 106106, 90581, 103787, 99741, 50338, 21418, 114754, 106198, 233, 28713, 102616, 16144, 102321, 103350, 90581, 10110, 975, 97049, 16144, 101083, 98359, 94, 31431, 103991, 7705, 114883, 110095, 106894, 126053, 71005, 102700, 111463, 20834, 102181, 102064, 17039, 61337, 220, 1049, 24, 73958, 106442, 104517, 220, 17, 106090, 106222, 220, 16874, 101370, 119, 735, 106419, 104517, 35469, 238, 109421, 79250, 220, 16874, 101370, 119, 735, 13, 662, 78507, 96, 102456, 101987, 16144, 18, 50, 113495, 13, 105141, 5232, 679, 23, 8107, 20, 9953, 868, 9080, 13, 220, 4468, 17, 8107, 20, 9953, 868, 9080, 13, 103879, 244, 102057, 226, 109095, 112454, 61304, 104611, 9080, 103195, 13, 105180, 15682, 101402, 50211, 106390, 102669, 106106, 20230, 113529, 106824, 13, 108263, 75863, 16144, 127164, 106581, 29295, 17701, 76947, 124284, 16144, 103195, 13, 220, 80539, 13, 107879, 224, 102669, 74482, 13, 49854, 228, 111201, 40003, 255, 34208, 85707, 23538, 16144, 102433, 15682, 5486, 7285, 16, 116358, 112624, 55139, 30926, 104721, 10110, 17129, 25827, 15024, 116186, 30297, 100204, 102416, 25827, 7705, 55031, 5486, 40053, 20230, 102669, 106106, 121894, 20230, 57903, 79721, 1811, 101544, 23538, 33208, 54926, 102669, 106106, 113115, 106608, 54926, 103846, 5486, 103087, 35330, 19732, 53953, 103087, 15682, 5486, 104443, 32648, 16144, 21990, 106518, 20230, 104622, 61826, 112535, 111017, 31431, 40265, 38144, 110071, 101200, 101983, 107462, 50834, 33541, 1811, 7285, 23, 8107, 102052, 13177, 106444, 110022, 91875, 102351, 25333, 10110, 22957, 42891, 32149, 102131, 104405, 16995, 25827, 118881, 7705, 10646, 29295, 44416, 23187, 84389, 5486, 122617, 16144, 103087, 39084, 15682, 627, 101402, 50211, 106390, 102669, 106106, 16325, 5486, 29504, 70821, 15682, 67645, 103171, 47884, 124949, 30512, 107113, 16144, 91576, 251, 101067, 105156, 44416, 29295, 5486, 33541, 33541, 50834, 102802, 106624, 26854, 100472, 76502, 16325, 102669, 106106, 29295, 27704, 17129, 76947, 55031, 5486, 118729, 9458, 78244, 105242, 111363, 220, 36785, 25827, 30591, 59739, 53606, 122, 121819, 29295, 5486, 33541, 33541, 50834, 102802, 106624, 26854, 31431, 5486, 105212, 116474, 103472, 30512, 220, 104328, 15682, 25827, 47850, 117, 106053, 56051, 116537, 36896, 112031, 42891, 108895, 110325, 45736, 66383, 57980, 81219, 33121, 112119, 50211, 106390, 220, 106956, 102416, 16995, 101200, 50534, 99, 106106, 220, 72342, 25827, 102131, 107879, 113, 22656, 107879, 224, 102971, 118203, 116186, 30297, 76622, 59739, 220, 103296, 7705, 108477, 252, 31431, 108044, 105262, 39880, 125581, 9458, 101402, 50211, 106390, 102669, 106106, 91482, 115478, 107908, 220, 21, 78507 ]
[ 96, 102456, 101987, 16144, 114172, 102512, 107668, 101772, 104378, 109898, 220, 679, 19, 101377, 220, 22957, 67645, 32977, 19732, 124304, 32149, 25827, 611, 34676, 13236, 101370, 112, 220, 21, 11199, 119767, 38093, 70626, 16144, 53283, 109375, 220, 43514, 21105, 235, 95371, 1135, 79785, 110480, 16556, 104328, 105784, 22656, 35083, 220, 102717, 25827, 32149, 47884, 13, 220, 605, 25, 966, 21909, 605, 25, 2131, 107301, 58850, 126027, 101402, 50211, 106390, 102669, 106106, 16, 43949, 249, 102518, 105060, 102456, 101987, 36761, 220, 806, 25, 605, 21909, 806, 25, 1758, 107301, 58850, 126027, 101402, 50211, 106390, 102669, 106106, 17, 110233, 114, 5486, 101908, 5486, 45829, 30512, 127696, 125167, 9080, 107384, 105459, 125030, 76947, 102669, 106106, 107118, 36761, 122335, 34048, 220, 1032, 25, 410, 21909, 975, 25, 966, 9085, 105, 249, 102446, 13177, 57933, 108941, 5232, 111482, 126027, 102669, 75267, 10646, 220, 975, 25, 1774, 21909, 868, 25, 966, 40003, 254, 55723, 44620, 102158, 121140, 106004, 13, 43949, 110, 101275, 112113, 29295, 102404, 77413, 56051, 13177, 31958, 71005, 113146, 10646, 55031, 5486, 102669, 106106, 113468, 101513, 109472, 33208, 29295, 103130, 102189, 13177, 27384, 37656, 113146, 59712, 115638, 113146, 10646, 5486, 80539, 114407, 101275, 113073, 16144, 114485, 83747, 102677, 109606, 20230, 74245, 28190, 54926, 13177, 114565, 9458, 103507, 34208, 113146, 10646, 103296, 5486, 73361, 19967, 31431, 30512, 75146, 114457, 103306, 102404, 77413, 39926, 105898, 102433, 16144, 114172, 102512, 30512, 123927, 104196, 31431, 33541, 198, 31809, 106718, 71289, 16325, 106718, 72661, 78183, 117295, 104466, 101402, 50211, 106390, 102669, 106106, 16144, 113385, 30512, 112825, 110904, 20230, 50338, 108323, 103036, 106718, 71289, 16325, 106718, 16144, 112073, 98369, 32977, 123085, 29295, 104004, 123772, 102669, 106106, 30512, 107113, 100909, 71289, 5486, 106135, 33671, 102616, 27384, 102669, 9458, 101402, 50211, 106390, 102669, 106106, 20230, 109972, 107674, 109335, 105321, 19732, 103470, 53283, 107462, 104533, 91763, 61689, 1811, 220, 80673, 108048, 120577, 114172, 102512, 15682, 109242, 122202, 16556, 78183, 107277, 20230, 47884, 16995, 105494, 29295, 43240, 47884, 57903, 33541, 115261, 106135, 33671, 102616, 27384, 102669, 9458, 101402, 50211, 106390, 102669, 106106, 101377, 21405, 83354, 220, 6393, 16, 8107, 717, 9953, 23, 9080, 114794, 112712, 112827, 121551, 20230, 19653, 40003, 255, 34208, 845, 8107, 717, 9953, 23, 9080, 9458, 35424, 25580, 22, 39177, 1758, 17620, 5486, 101402, 50211, 106390, 123746, 20230, 95475, 117856, 16325, 16144, 35894, 103760, 21, 37795, 119, 55031, 5486, 103983, 123717, 103306, 10750, 101513, 5486, 106135, 123717, 103306, 11515, 101513, 16144, 114743, 101513, 55031, 109020, 121551, 104542, 125334, 107666, 15024, 13, 50534, 99, 39177, 17297, 122692, 111764, 48864, 104674, 16144, 104378, 43444, 17, 7705, 102669, 39177, 17297, 13177, 104654, 92776, 104378, 117503, 120328, 50021, 220, 6365, 63091, 68171, 48864, 104674, 16144, 13177, 104654, 92776, 104378, 116326, 5926, 19, 8107, 85707, 20834, 7705, 23, 112031, 102669, 39177, 33014, 44416, 110792, 30177, 106307, 15682, 116414, 30512, 72718, 28542, 20230, 103792, 120900, 32149, 1811, 115338, 107792, 16556, 58426, 97518, 220, 89046, 30512, 64121, 100481, 105898, 16995, 1811, 18, 13, 17, 118830, 108581, 33014, 44416, 19732, 13177, 104654, 92776, 104378, 66383, 16144, 30177, 28542, 40003, 255, 34208, 102473, 38093, 39850, 127058, 110792, 97518, 78183, 112119, 50211, 106390, 102669, 106106, 16325, 5486, 43240, 119064, 123532, 103472, 52030, 106528, 122924, 29295, 102669, 30590, 16556, 112415, 54926, 102433, 104443, 30512, 108057, 106528, 54926, 103846, 29504, 48915, 20230, 110968, 100472, 1811, 110653, 22656, 72099, 53610, 11743, 96, 23530, 23530, 110968, 120354, 16144, 103858, 110, 30590, 102040, 33710, 76739, 98369, 10110, 3534, 7705, 32977, 58426, 16, 17792, 627, 107963, 31634, 112119, 50211, 106390, 102669, 106106, 122692, 17297, 97518, 23530, 16144, 102669, 106106, 101307, 104698, 15682, 5486, 59795, 106848, 77181, 108285, 102687, 20230, 33671, 104699, 27384, 112495, 102944, 115287, 1811, 40003, 255, 34208, 777, 10110, 6393, 19, 7705, 8107, 21, 9953, 845, 9080, 35424, 25580, 17, 39177, 48154, 85791, 5486, 114737, 101513, 33, 1682, 19732, 33, 1187, 16144, 508, 9039, 101513, 16144, 104817, 104542, 29295, 49409, 103178, 55139, 19732, 17297, 97518, 108900, 20230, 107850, 37507, 56051, 118844, 29295, 51330, 106848, 111363, 85707, 35894, 124364, 127303, 42891, 13, 50534, 99, 106106, 16144, 116292, 108740, 112498, 84844, 105459, 20230, 102158, 31431, 120321, 104699, 220, 12226, 32307, 17792, 102944, 113797, 16995, 51609, 29295, 127696, 125167, 101402, 50211, 106390, 102669, 106106, 103794, 45829, 67645, 32977, 105459, 102416, 106116, 102669, 106106, 16144, 116292, 33565, 101, 30813, 71289, 50211, 34208, 16144, 113797, 30813, 30512, 102158, 31431, 108864, 247, 48154, 30297, 19732, 5486, 118953, 107610, 105021, 78183, 103705, 29295, 13177, 102669, 106106, 16144, 102158, 31431, 34048, 10646, 112415, 30512, 27704, 107436, 975, 8107, 115717, 33541, 118844, 103296, 120824, 99397, 56051, 123514, 662, 220, 18, 118590, 1272, 116335, 220, 9079, 220, 71567, 254, 59983, 33144, 220, 6393, 20, 8107, 23, 9953, 868, 117073, 89154, 103223, 99959, 91062, 107322, 78244, 101682, 125310, 113468, 3922, 102433, 15682, 43511, 29504, 110792, 102669, 106106, 30512, 105721, 107800, 119520, 3922, 104654, 16144, 91739, 106, 18259, 237, 29295, 110993, 115464, 16325, 16556, 106307, 76622, 109115, 102669, 106106, 113468, 3922, 117976, 105838, 56051, 13, 112119, 50211, 106390, 102669, 106106, 113529, 102669, 9080, 220, 1644, 8107, 25580, 111092, 231, 106898, 16144, 89046, 119375, 10447, 90183, 104817, 124834, 118633, 70892, 116, 102687, 68042, 42634, 96452, 54656, 235, 16144, 90962, 107805, 70563, 48552, 109481, 102, 76505, 58911, 15682, 16937, 91875, 36785, 101832, 106026, 104680, 15682, 105060, 102456, 101987, 30512, 104908, 126693, 104712, 103378, 36785, 82530, 122412, 42016, 23039, 122521, 15682, 101182, 29295, 82530, 1811, 67621, 230, 25580, 16325, 15682, 103271, 105466, 115191, 6823, 222, 104486, 46456, 72516, 25766, 225, 82533, 20230, 112183, 30297, 122666, 102895, 115307, 114435, 8107, 35330, 107084, 104526, 627, 47884, 124949, 30512, 126910, 103854, 30369, 102669, 25580, 9458, 102669, 16325, 9458, 102669, 74482, 220, 16, 78507, 96, 102456, 101987, 16144, 30297, 59739, 31431, 32149, 116547, 14, 102491, 164, 16281, 111366, 110911, 10110, 116581, 109421, 102181, 9458, 121995, 22656, 7705, 482, 34676, 104575, 111629, 124020, 109898, 108363, 10110, 30537, 1419, 18904, 7705, 11199, 30537, 17, 33671, 102616, 27384, 102669, 25580, 9458, 102669, 16325, 9458, 102669, 74482, 16556, 123085, 107707, 47884, 124949, 15682, 104405, 104721, 33208, 56051, 104865, 1811, 16, 15682, 5486, 34208, 44309, 19732, 106390, 44309, 108948, 71289, 59739, 19732, 102669, 106106, 123462, 116581, 5486, 101721, 33208, 105107, 1131, 112810, 16144, 22656, 16144, 109198, 17701, 15682, 71, 10138, 16556, 112119, 50211, 106390, 102669, 106106, 39177, 5486, 53953, 103087, 127242, 29295, 102987, 106145, 33208, 15024, 105060, 102456, 101987, 122617, 127242, 107113, 113146, 20230, 5486, 119208, 16144, 106581, 112686, 16144, 109095, 110298, 30512, 32018, 109013, 17792, 104680, 16144, 110783, 115991, 79721, 125939, 18904, 15682, 5486, 102669, 16325, 55031, 102669, 74482, 112649, 107441, 5486, 29504, 104734, 26892, 67178, 53953, 16144, 109095, 110298, 112649, 107674, 17792, 104680, 16144, 53953, 102158, 38641, 1811, 40003, 255, 34208, 777, 8107, 806, 9953, 16, 9080, 627, 102669, 106106, 16144, 117375, 16556, 17792, 104680, 16144, 104654, 29295, 67645, 119775, 104721, 33208, 109768, 100472, 104865, 104088, 100481, 50834, 5486, 50211, 34208, 16144, 30358, 64121, 30512, 113727, 33541, 1811, 39880, 125581, 9458, 101402, 50211, 106390, 102669, 106106, 30512, 103496, 20230, 5486, 102669, 25580, 9458, 102669, 16325, 9458, 102669, 123470, 102433, 16144, 127331, 124949, 30512, 57106, 103854, 30369, 22656, 38641, 1811, 57933, 108941, 15682, 105060, 102456, 101987, 5486, 102865, 71289, 26892, 53953, 5486, 106581, 5486, 101310, 107, 105465, 104309, 1811, 102669, 123628, 127331, 124949, 198, 29504, 70821, 44309, 11144, 22957, 47884, 64121, 25827, 105104, 47884, 11199, 76502, 16325, 102669, 106106, 16325, 16144, 6393, 15, 8107, 55031, 113529, 102669, 39177, 103296, 3922, 102433, 16144, 123737, 16144, 9080, 40053, 100815, 9458, 107591, 44309, 103306, 100815, 11883, 103646, 44309, 1811, 114662, 102697, 16144, 29172, 110125, 56051, 105021, 29504, 70821, 113116, 110022, 91875, 102351, 103705, 112028, 108476, 103306, 6393, 15, 8107, 806, 9953, 16, 117073, 53508, 227, 103507, 16556, 44416, 23187, 103646, 1811, 116145, 15682, 29504, 103181, 39135, 10110, 71493, 38248, 255, 49372, 13079, 123, 16144, 83799, 16144, 121953, 3922, 89154, 113821, 71289, 102832, 108958, 16144, 19361, 43568, 104309, 16556, 104486, 18476, 19732, 111158, 18476, 115991, 3922, 16995, 101860, 33121, 13, 220, 9378, 112119, 50211, 106390, 163, 65620, 107049, 109, 8239, 112, 122502, 103214, 40862, 44620, 20, 17620, 56965, 118331, 61398, 36761, 55031, 64121, 30369, 102669, 74482, 102433, 102465, 163, 65620, 106518, 101275, 16144, 110226, 64063, 103188, 39607, 220, 16, 59983, 15682, 100204, 62004, 20230, 105180, 16144, 102465, 163, 65620, 106518, 101275, 15682, 5486, 102669, 123470, 103268, 126241, 119707, 107441, 119273, 104680, 20230, 123332, 31809, 15024, 5486, 1049, 16, 110895, 106968, 20230, 105721, 32016, 231, 30512, 109169, 107800, 49412, 112, 109807, 109466, 13079, 108, 15682, 5486, 102669, 73958, 55031, 102669, 74482, 85707, 23538, 112649, 107441, 16144, 115079, 106518, 13, 103241, 115, 91774, 23530, 80195, 127078, 104517, 5232, 103188, 86436, 16144, 115612, 127950, 13, 220, 972, 110895, 16144, 115612, 77413, 13177, 115638, 966, 112425, 19732, 127331, 124949, 10646, 20230, 106307, 50834, 123213, 110895, 15682, 113146, 30512, 71289, 71289, 30813, 116421, 109416, 31431, 5486, 115638, 605, 112425, 30512, 104356, 20230, 31958, 71005, 55031, 115638, 508, 112425, 119400, 16144, 11795, 114, 70821, 16144, 104654, 16144, 19361, 103826, 30512, 108167, 122765, 79721, 1811, 13, 111366, 71005, 1544, 9458, 1591, 101377, 16144, 9080, 80866, 102669, 106106, 5486, 42016, 1806, 9458, 1987, 116358, 9080, 105651, 102669, 106106, 30512, 106613, 38144, 627, 39880, 125581, 9458, 101402, 50211, 106390, 102669, 106106, 30512, 103496, 20230, 5486, 102669, 25580, 9458, 102669, 16325, 9458, 102669, 123470, 102433, 16144, 127331, 124949, 30512, 57106, 103854, 30369, 22656, 38641, 1811, 57933, 108941, 15682, 105060, 102456, 101987, 5486, 102865, 71289, 26892, 53953, 5486, 106581, 5486, 101310, 107, 105465, 104309, 16449, 16449, 1811, 102669, 123628, 127331, 124949, 15682, 37689, 48915, 19732, 105189, 71289, 32149, 16556, 56051, 1811, 67016, 21105, 251, 33121, 15682, 127579, 103378, 16144, 87177, 16556, 5486, 106848, 16144, 114407, 101634, 77181, 70277, 109076, 113146, 16144, 117759, 101634, 19732, 124500, 110104, 127331, 124949, 30512, 112185, 106307, 76622, 100481, 79721, 1229, 36121, 55031, 111800, 52084, 50534, 99, 16325, 9458, 102669, 74482, 16556, 124500, 100472, 121606, 9458, 114305, 9458, 102494, 101335, 16144, 104721, 30250, 115, 55031, 102433, 29295, 104405, 124500, 100472, 104865, 30512, 104873, 103854, 30369, 105908, 125545, 1811, 107531, 104063, 9458, 110886, 50534, 99, 25580, 15682, 15120, 34048, 124911, 67016, 102647, 123680, 112607, 29295, 104435, 76947, 103927, 52414, 11571, 50534, 99, 123628, 53283, 30926, 15682, 67645, 119775, 50834, 109013, 16144, 11571, 104932, 108931, 15682, 108064, 55031, 101182, 16144, 110124, 103, 99397, 44915, 112119, 50211, 106390, 102669, 106106, 16325, 16144, 102433, 16144, 118006, 77181, 3922, 67645, 120950, 102944, 30512, 125764, 101732, 104865, 53283, 31431, 106956, 1811, 113925, 44915, 107301, 102669, 17297, 16144, 44971, 57207, 70563, 36761, 7741, 236, 105635, 105913, 106618, 45829, 96555, 102700, 109481, 102, 103682, 102181, 72516, 220, 1049, 17, 13, 23, 101511, 44620, 102404, 91774, 0, 33014, 111186, 0, 102433, 16144, 102456, 30926, 220, 17, 36761, 33671, 58911, 119736, 71208, 96555, 110423, 23951, 117082, 125540, 61337, 220, 1049, 17, 13, 19, 104309, 111848, 13, 50534, 99, 106106, 16144, 70821, 121538, 50534, 99, 106106, 33014, 111186, 16144, 61304, 108565, 19732, 102158, 31431, 30512, 104405, 61304, 43032, 54926, 104865, 119361, 126593, 103067, 227, 112587, 66556, 121, 13773, 123, 37026, 21, 72406, 112, 17597, 111, 45826, 121, 44620, 378, 98, 20834, 1811, 100990, 109, 46, 1811, 14167, 249, 112673, 15120, 70, 100204, 1811, 6079, 101, 110260, 101921, 116, 23, 101923, 29504, 2790, 116044, 1811, 30832, 23, 1811, 9458, 1811, 44620, 17129, 101399, 2874, 35, 83354, 13870, 241, 46, 13828, 101, 53283, 119533, 51043, 104, 220, 15, 13177, 103472, 72368, 10646, 110139, 55038, 16144, 102669, 106106, 115514, 122561, 19732, 61304, 104611, 81802, 239, 15682, 100204, 62004, 20230, 220, 119560, 50534, 99, 102625, 30046, 115553, 55228, 222, 19732, 104394, 117145, 115553, 627, 28259, 220, 1313, 11, 220, 2366, 16, 92659, 14789, 26257, 264, 12535, 389, 112238, 68581, 16073, 68759, 11972, 40474, 110095, 25, 29504, 103472, 29220, 114228, 102514, 16556, 53900, 111108, 70821, 20230, 116900, 114941, 31431, 103350, 40474, 5486, 23530, 70821, 30512, 99849, 110162, 122521, 39926, 111654, 102800, 63923, 228, 105729, 16073, 102663, 103223, 76208, 113663, 20, 30046, 108975, 104760, 16144, 25340, 118, 104921, 252, 0, 125820, 254, 17044, 110, 30512, 29504, 70821, 20230, 104195, 16995, 43568, 113160, 49988, 26854, 101402, 50211, 106390, 102669, 106106, 88356, 37507, 30512, 110008, 17663, 26854, 117826, 31640, 19732, 101402, 50211, 106390, 102669, 106106, 16325, 16144, 41920, 107707, 120331, 29295, 5486, 125639, 109913, 78183, 30369, 102677, 116700, 38641, 1811, 102446, 83301, 105647, 16144, 105466, 58911, 39442, 102993, 121944, 36668, 107734, 102677, 118733, 5486, 91774, 48154, 28713, 58942, 57903, 102131, 122543, 5486, 106046, 16995, 91774, 79721, 1811, 102717, 25827, 78699, 20230, 126521, 87177, 15024, 16556, 56051, 1811, 116564, 15682, 11881, 242, 19732, 57106, 115694, 105060, 102456, 101987, 29295, 105843, 103350, 39926, 102532, 11881, 242, 16144, 102669, 106106, 16556, 101890, 254, 17044, 110, 198, 105060, 102456, 101987, 16144, 30297, 59739, 31431, 32149, 116547, 115752, 164, 16281, 31958 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 96, 102456, 101987, 16144, 114172, 102512, 107668, 101772, 104378, 109898, 220, 679, 19, 101377, 220, 22957, 67645, 32977, 19732, 124304, 32149, 25827, 611, 34676, 13236, 101370, 112, 220, 21, 11199, 119767, 38093, 70626, 16144, 53283, 109375, 220, 43514, 21105, 235, 95371, 1135, 79785, 110480, 16556, 104328, 105784, 22656, 35083, 220, 102717, 25827, 32149, 47884, 13, 220, 605, 25, 966, 21909, 605, 25, 2131, 107301, 58850, 126027, 101402, 50211, 106390, 102669, 106106, 16, 43949, 249, 102518, 105060, 102456, 101987, 36761, 220, 806, 25, 605, 21909, 806, 25, 1758, 107301, 58850, 126027, 101402, 50211, 106390, 102669, 106106, 17, 110233, 114, 5486, 101908, 5486, 45829, 30512, 127696, 125167, 9080, 107384, 105459, 125030, 76947, 102669, 106106, 107118, 36761, 122335, 34048, 220, 1032, 25, 410, 21909, 975, 25, 966, 9085, 105, 249, 102446, 13177, 57933, 108941, 5232, 111482, 126027, 102669, 75267, 10646, 220, 975, 25, 1774, 21909, 868, 25, 966, 40003, 254, 55723, 44620, 102158, 121140, 106004, 13, 43949, 110, 101275, 112113, 29295, 102404, 77413, 56051, 13177, 31958, 71005, 113146, 10646, 55031, 5486, 102669, 106106, 113468, 101513, 109472, 33208, 29295, 103130, 102189, 13177, 27384, 37656, 113146, 59712, 115638, 113146, 10646, 5486, 80539, 114407, 101275, 113073, 16144, 114485, 83747, 102677, 109606, 20230, 74245, 28190, 54926, 13177, 114565, 9458, 103507, 34208, 113146, 10646, 103296, 5486, 73361, 19967, 31431, 30512, 75146, 114457, 103306, 102404, 77413, 39926, 105898, 102433, 16144, 114172, 102512, 30512, 123927, 104196, 31431, 33541, 198, 31809, 106718, 71289, 16325, 106718, 72661, 78183, 117295, 104466, 101402, 50211, 106390, 102669, 106106, 16144, 113385, 30512, 112825, 110904, 20230, 50338, 108323, 103036, 106718, 71289, 16325, 106718, 16144, 112073, 98369, 32977, 123085, 29295, 104004, 123772, 102669, 106106, 30512, 107113, 100909, 71289, 5486, 106135, 33671, 102616, 27384, 102669, 9458, 101402, 50211, 106390, 102669, 106106, 20230, 109972, 107674, 109335, 105321, 19732, 103470, 53283, 107462, 104533, 91763, 61689, 1811, 220, 80673, 108048, 120577, 114172, 102512, 15682, 109242, 122202, 16556, 78183, 107277, 20230, 47884, 16995, 105494, 29295, 43240, 47884, 57903, 33541, 115261, 106135, 33671, 102616, 27384, 102669, 9458, 101402, 50211, 106390, 102669, 106106, 101377, 21405, 83354, 220, 6393, 16, 8107, 717, 9953, 23, 9080, 114794, 112712, 112827, 121551, 20230, 19653, 40003, 255, 34208, 845, 8107, 717, 9953, 23, 9080, 9458, 35424, 25580, 22, 39177, 1758, 17620, 5486, 101402, 50211, 106390, 123746, 20230, 95475, 117856, 16325, 16144, 35894, 103760, 21, 37795, 119, 55031, 5486, 103983, 123717, 103306, 10750, 101513, 5486, 106135, 123717, 103306, 11515, 101513, 16144, 114743, 101513, 55031, 109020, 121551, 104542, 125334, 107666, 15024, 13, 50534, 99, 39177, 17297, 122692, 111764, 48864, 104674, 16144, 104378, 43444, 17, 7705, 102669, 39177, 17297, 13177, 104654, 92776, 104378, 117503, 120328, 50021, 220, 6365, 63091, 68171, 48864, 104674, 16144, 13177, 104654, 92776, 104378, 116326, 5926, 19, 8107, 85707, 20834, 7705, 23, 112031, 102669, 39177, 33014, 44416, 110792, 30177, 106307, 15682, 116414, 30512, 72718, 28542, 20230, 103792, 120900, 32149, 1811, 115338, 107792, 16556, 58426, 97518, 220, 89046, 30512, 64121, 100481, 105898, 16995, 1811, 18, 13, 17, 118830, 108581, 33014, 44416, 19732, 13177, 104654, 92776, 104378, 66383, 16144, 30177, 28542, 40003, 255, 34208, 102473, 38093, 39850, 127058, 110792, 97518, 78183, 112119, 50211, 106390, 102669, 106106, 16325, 5486, 43240, 119064, 123532, 103472, 52030, 106528, 122924, 29295, 102669, 30590, 16556, 112415, 54926, 102433, 104443, 30512, 108057, 106528, 54926, 103846, 29504, 48915, 20230, 110968, 100472, 1811, 110653, 22656, 72099, 53610, 11743, 96, 23530, 23530, 110968, 120354, 16144, 103858, 110, 30590, 102040, 33710, 76739, 98369, 10110, 3534, 7705, 32977, 58426, 16, 17792, 627, 107963, 31634, 112119, 50211, 106390, 102669, 106106, 122692, 17297, 97518, 23530, 16144, 102669, 106106, 101307, 104698, 15682, 5486, 59795, 106848, 77181, 108285, 102687, 20230, 33671, 104699, 27384, 112495, 102944, 115287, 1811, 40003, 255, 34208, 777, 10110, 6393, 19, 7705, 8107, 21, 9953, 845, 9080, 35424, 25580, 17, 39177, 48154, 85791, 5486, 114737, 101513, 33, 1682, 19732, 33, 1187, 16144, 508, 9039, 101513, 16144, 104817, 104542, 29295, 49409, 103178, 55139, 19732, 17297, 97518, 108900, 20230, 107850, 37507, 56051, 118844, 29295, 51330, 106848, 111363, 85707, 35894, 124364, 127303, 42891, 13, 50534, 99, 106106, 16144, 116292, 108740, 112498, 84844, 105459, 20230, 102158, 31431, 120321, 104699, 220, 12226, 32307, 17792, 102944, 113797, 16995, 51609, 29295, 127696, 125167, 101402, 50211, 106390, 102669, 106106, 103794, 45829, 67645, 32977, 105459, 102416, 106116, 102669, 106106, 16144, 116292, 33565, 101, 30813, 71289, 50211, 34208, 16144, 113797, 30813, 30512, 102158, 31431, 108864, 247, 48154, 30297, 19732, 5486, 118953, 107610, 105021, 78183, 103705, 29295, 13177, 102669, 106106, 16144, 102158, 31431, 34048, 10646, 112415, 30512, 27704, 107436, 975, 8107, 115717, 33541, 118844, 103296, 120824, 99397, 56051, 123514, 662, 220, 18, 118590, 1272, 116335, 220, 9079, 220, 71567, 254, 59983, 33144, 220, 6393, 20, 8107, 23, 9953, 868, 117073, 89154, 103223, 99959, 91062, 107322, 78244, 101682, 125310, 113468, 3922, 102433, 15682, 43511, 29504, 110792, 102669, 106106, 30512, 105721, 107800, 119520, 3922, 104654, 16144, 91739, 106, 18259, 237, 29295, 110993, 115464, 16325, 16556, 106307, 76622, 109115, 102669, 106106, 113468, 3922, 117976, 105838, 56051, 13, 112119, 50211, 106390, 102669, 106106, 113529, 102669, 9080, 220, 1644, 8107, 25580, 111092, 231, 106898, 16144, 89046, 119375, 10447, 90183, 104817, 124834, 118633, 70892, 116, 102687, 68042, 42634, 96452, 54656, 235, 16144, 90962, 107805, 70563, 48552, 109481, 102, 76505, 58911, 15682, 16937, 91875, 36785, 101832, 106026, 104680, 15682, 105060, 102456, 101987, 30512, 104908, 126693, 104712, 103378, 36785, 82530, 122412, 42016, 23039, 122521, 15682, 101182, 29295, 82530, 1811, 67621, 230, 25580, 16325, 15682, 103271, 105466, 115191, 6823, 222, 104486, 46456, 72516, 25766, 225, 82533, 20230, 112183, 30297, 122666, 102895, 115307, 114435, 8107, 35330, 107084, 104526, 627, 47884, 124949, 30512, 126910, 103854, 30369, 102669, 25580, 9458, 102669, 16325, 9458, 102669, 74482, 220, 16, 78507, 96, 102456, 101987, 16144, 30297, 59739, 31431, 32149, 116547, 14, 102491, 164, 16281, 111366, 110911, 10110, 116581, 109421, 102181, 9458, 121995, 22656, 7705, 482, 34676, 104575, 111629, 124020, 109898, 108363, 10110, 30537, 1419, 18904, 7705, 11199, 30537, 17, 33671, 102616, 27384, 102669, 25580, 9458, 102669, 16325, 9458, 102669, 74482, 16556, 123085, 107707, 47884, 124949, 15682, 104405, 104721, 33208, 56051, 104865, 1811, 16, 15682, 5486, 34208, 44309, 19732, 106390, 44309, 108948, 71289, 59739, 19732, 102669, 106106, 123462, 116581, 5486, 101721, 33208, 105107, 1131, 112810, 16144, 22656, 16144, 109198, 17701, 15682, 71, 10138, 16556, 112119, 50211, 106390, 102669, 106106, 39177, 5486, 53953, 103087, 127242, 29295, 102987, 106145, 33208, 15024, 105060, 102456, 101987, 122617, 127242, 107113, 113146, 20230, 5486, 119208, 16144, 106581, 112686, 16144, 109095, 110298, 30512, 32018, 109013, 17792, 104680, 16144, 110783, 115991, 79721, 125939, 18904, 15682, 5486, 102669, 16325, 55031, 102669, 74482, 112649, 107441, 5486, 29504, 104734, 26892, 67178, 53953, 16144, 109095, 110298, 112649, 107674, 17792, 104680, 16144, 53953, 102158, 38641, 1811, 40003, 255, 34208, 777, 8107, 806, 9953, 16, 9080, 627, 102669, 106106, 16144, 117375, 16556, 17792, 104680, 16144, 104654, 29295, 67645, 119775, 104721, 33208, 109768, 100472, 104865, 104088, 100481, 50834, 5486, 50211, 34208, 16144, 30358, 64121, 30512, 113727, 33541, 1811, 39880, 125581, 9458, 101402, 50211, 106390, 102669, 106106, 30512, 103496, 20230, 5486, 102669, 25580, 9458, 102669, 16325, 9458, 102669, 123470, 102433, 16144, 127331, 124949, 30512, 57106, 103854, 30369, 22656, 38641, 1811, 57933, 108941, 15682, 105060, 102456, 101987, 5486, 102865, 71289, 26892, 53953, 5486, 106581, 5486, 101310, 107, 105465, 104309, 1811, 102669, 123628, 127331, 124949, 198, 29504, 70821, 44309, 11144, 22957, 47884, 64121, 25827, 105104, 47884, 11199, 76502, 16325, 102669, 106106, 16325, 16144, 6393, 15, 8107, 55031, 113529, 102669, 39177, 103296, 3922, 102433, 16144, 123737, 16144, 9080, 40053, 100815, 9458, 107591, 44309, 103306, 100815, 11883, 103646, 44309, 1811, 114662, 102697, 16144, 29172, 110125, 56051, 105021, 29504, 70821, 113116, 110022, 91875, 102351, 103705, 112028, 108476, 103306, 6393, 15, 8107, 806, 9953, 16, 117073, 53508, 227, 103507, 16556, 44416, 23187, 103646, 1811, 116145, 15682, 29504, 103181, 39135, 10110, 71493, 38248, 255, 49372, 13079, 123, 16144, 83799, 16144, 121953, 3922, 89154, 113821, 71289, 102832, 108958, 16144, 19361, 43568, 104309, 16556, 104486, 18476, 19732, 111158, 18476, 115991, 3922, 16995, 101860, 33121, 13, 220, 9378, 112119, 50211, 106390, 163, 65620, 107049, 109, 8239, 112, 122502, 103214, 40862, 44620, 20, 17620, 56965, 118331, 61398, 36761, 55031, 64121, 30369, 102669, 74482, 102433, 102465, 163, 65620, 106518, 101275, 16144, 110226, 64063, 103188, 39607, 220, 16, 59983, 15682, 100204, 62004, 20230, 105180, 16144, 102465, 163, 65620, 106518, 101275, 15682, 5486, 102669, 123470, 103268, 126241, 119707, 107441, 119273, 104680, 20230, 123332, 31809, 15024, 5486, 1049, 16, 110895, 106968, 20230, 105721, 32016, 231, 30512, 109169, 107800, 49412, 112, 109807, 109466, 13079, 108, 15682, 5486, 102669, 73958, 55031, 102669, 74482, 85707, 23538, 112649, 107441, 16144, 115079, 106518, 13, 103241, 115, 91774, 23530, 80195, 127078, 104517, 5232, 103188, 86436, 16144, 115612, 127950, 13, 220, 972, 110895, 16144, 115612, 77413, 13177, 115638, 966, 112425, 19732, 127331, 124949, 10646, 20230, 106307, 50834, 123213, 110895, 15682, 113146, 30512, 71289, 71289, 30813, 116421, 109416, 31431, 5486, 115638, 605, 112425, 30512, 104356, 20230, 31958, 71005, 55031, 115638, 508, 112425, 119400, 16144, 11795, 114, 70821, 16144, 104654, 16144, 19361, 103826, 30512, 108167, 122765, 79721, 1811, 13, 111366, 71005, 1544, 9458, 1591, 101377, 16144, 9080, 80866, 102669, 106106, 5486, 42016, 1806, 9458, 1987, 116358, 9080, 105651, 102669, 106106, 30512, 106613, 38144, 627, 39880, 125581, 9458, 101402, 50211, 106390, 102669, 106106, 30512, 103496, 20230, 5486, 102669, 25580, 9458, 102669, 16325, 9458, 102669, 123470, 102433, 16144, 127331, 124949, 30512, 57106, 103854, 30369, 22656, 38641, 1811, 57933, 108941, 15682, 105060, 102456, 101987, 5486, 102865, 71289, 26892, 53953, 5486, 106581, 5486, 101310, 107, 105465, 104309, 16449, 16449, 1811, 102669, 123628, 127331, 124949, 15682, 37689, 48915, 19732, 105189, 71289, 32149, 16556, 56051, 1811, 67016, 21105, 251, 33121, 15682, 127579, 103378, 16144, 87177, 16556, 5486, 106848, 16144, 114407, 101634, 77181, 70277, 109076, 113146, 16144, 117759, 101634, 19732, 124500, 110104, 127331, 124949, 30512, 112185, 106307, 76622, 100481, 79721, 1229, 36121, 55031, 111800, 52084, 50534, 99, 16325, 9458, 102669, 74482, 16556, 124500, 100472, 121606, 9458, 114305, 9458, 102494, 101335, 16144, 104721, 30250, 115, 55031, 102433, 29295, 104405, 124500, 100472, 104865, 30512, 104873, 103854, 30369, 105908, 125545, 1811, 107531, 104063, 9458, 110886, 50534, 99, 25580, 15682, 15120, 34048, 124911, 67016, 102647, 123680, 112607, 29295, 104435, 76947, 103927, 52414, 11571, 50534, 99, 123628, 53283, 30926, 15682, 67645, 119775, 50834, 109013, 16144, 11571, 104932, 108931, 15682, 108064, 55031, 101182, 16144, 110124, 103, 99397, 44915, 112119, 50211, 106390, 102669, 106106, 16325, 16144, 102433, 16144, 118006, 77181, 3922, 67645, 120950, 102944, 30512, 125764, 101732, 104865, 53283, 31431, 106956, 1811, 113925, 44915, 107301, 102669, 17297, 16144, 44971, 57207, 70563, 36761, 7741, 236, 105635, 105913, 106618, 45829, 96555, 102700, 109481, 102, 103682, 102181, 72516, 220, 1049, 17, 13, 23, 101511, 44620, 102404, 91774, 0, 33014, 111186, 0, 102433, 16144, 102456, 30926, 220, 17, 36761, 33671, 58911, 119736, 71208, 96555, 110423, 23951, 117082, 125540, 61337, 220, 1049, 17, 13, 19, 104309, 111848, 13, 50534, 99, 106106, 16144, 70821, 121538, 50534, 99, 106106, 33014, 111186, 16144, 61304, 108565, 19732, 102158, 31431, 30512, 104405, 61304, 43032, 54926, 104865, 119361, 126593, 103067, 227, 112587, 66556, 121, 13773, 123, 37026, 21, 72406, 112, 17597, 111, 45826, 121, 44620, 378, 98, 20834, 1811, 100990, 109, 46, 1811, 14167, 249, 112673, 15120, 70, 100204, 1811, 6079, 101, 110260, 101921, 116, 23, 101923, 29504, 2790, 116044, 1811, 30832, 23, 1811, 9458, 1811, 44620, 17129, 101399, 2874, 35, 83354, 13870, 241, 46, 13828, 101, 53283, 119533, 51043, 104, 220, 15, 13177, 103472, 72368, 10646, 110139, 55038, 16144, 102669, 106106, 115514, 122561, 19732, 61304, 104611, 81802, 239, 15682, 100204, 62004, 20230, 220, 119560, 50534, 99, 102625, 30046, 115553, 55228, 222, 19732, 104394, 117145, 115553, 627, 28259, 220, 1313, 11, 220, 2366, 16, 92659, 14789, 26257, 264, 12535, 389, 112238, 68581, 16073, 68759, 11972, 40474, 110095, 25, 29504, 103472, 29220, 114228, 102514, 16556, 53900, 111108, 70821, 20230, 116900, 114941, 31431, 103350, 40474, 5486, 23530, 70821, 30512, 99849, 110162, 122521, 39926, 111654, 102800, 63923, 228, 105729, 16073, 102663, 103223, 76208, 113663, 20, 30046, 108975, 104760, 16144, 25340, 118, 104921, 252, 0, 125820, 254, 17044, 110, 30512, 29504, 70821, 20230, 104195, 16995, 43568, 113160, 49988, 26854, 101402, 50211, 106390, 102669, 106106, 88356, 37507, 30512, 110008, 17663, 26854, 117826, 31640, 19732, 101402, 50211, 106390, 102669, 106106, 16325, 16144, 41920, 107707, 120331, 29295, 5486, 125639, 109913, 78183, 30369, 102677, 116700, 38641, 1811, 102446, 83301, 105647, 16144, 105466, 58911, 39442, 102993, 121944, 36668, 107734, 102677, 118733, 5486, 91774, 48154, 28713, 58942, 57903, 102131, 122543, 5486, 106046, 16995, 91774, 79721, 1811, 102717, 25827, 78699, 20230, 126521, 87177, 15024, 16556, 56051, 1811, 116564, 15682, 11881, 242, 19732, 57106, 115694, 105060, 102456, 101987, 29295, 105843, 103350, 39926, 102532, 11881, 242, 16144, 102669, 106106, 16556, 101890, 254, 17044, 110, 198, 105060, 102456, 101987, 16144, 30297, 59739, 31431, 32149, 116547, 115752, 164, 16281, 31958 ]
[ 110911, 96555, 102700, 26213, 108477, 255, 115226, 124766, 108477, 255, 115226, 108477, 255, 102189, 105180, 107707, 105060, 102456, 101987, 16144, 60634, 31431, 104721, 116547, 30512, 115132, 125581, 9458, 101402, 50211, 106390, 102669, 106106, 16144, 25580, 74482, 16556, 91774, 57106, 103854, 33541, 1811, 102669, 106106, 16144, 117375, 16556, 17792, 104680, 16144, 104654, 29295, 67645, 119775, 104721, 33208, 109768, 100472, 104865, 104088, 100481, 50834, 106272, 13, 112119, 50211, 106390, 102669, 106106, 16325, 5486, 45829, 67645, 32977, 15682, 67645, 103171, 47884, 124949, 30512, 107113, 16144, 50534, 99, 39177, 16325, 16144, 127331, 124949, 107118, 11571, 46729, 101721, 126758, 102669, 106106, 16325, 16144, 108008, 125344, 102456, 30926, 15682, 13, 116807, 5486, 105060, 104770, 9458, 123259, 53953, 9458, 106786, 77913, 104309, 10110, 49412, 100, 50534, 99, 123470, 127512, 115517, 104309, 13, 103774, 70821, 44309, 482, 27685, 220, 1758, 13, 115638, 16144, 102669, 106106, 104926, 102669, 39177, 17297, 16144, 29504, 70821, 19732, 17792, 104680, 16144, 47884, 124949, 104926, 31809, 106718, 112119, 50211, 106390, 102669, 106106, 29295, 53508, 225, 102404, 121256, 104468, 115408, 29295, 29504, 70821, 104575, 64803, 8107, 21990, 16144, 39177, 16556, 56051, 1811, 119869, 16144, 102669, 91077, 15682, 105189, 71289, 107188, 78943, 45893, 122416, 16556, 5486, 100927, 102452, 20230, 105714, 109115, 27384, 101778, 127022, 55999, 15308, 226, 12554, 237, 106391, 101067, 16144, 30590, 111629, 15682, 5486, 117073, 113692, 16144, 110447, 16556, 123653, 62004, 59739, 47884, 116216, 23039, 50834, 79721, 1811, 45631, 37046, 29295, 27384, 102433, 106152, 101257, 15682, 32307, 101083, 15120, 39276, 16144, 36827, 105600, 627, 102669, 106106, 16144, 117375, 16556, 17792, 104680, 16144, 104654, 29295, 67645, 119775, 104721, 33208, 109768, 100472, 104865, 104088, 100481, 50834, 5486, 50211, 34208, 16144, 30358, 64121, 30512, 113727, 33541, 1811, 39880, 125581, 9458, 101402, 50211, 106390, 102669, 106106, 30512, 103496, 20230, 5486, 102669, 25580, 9458, 102669, 16325, 9458, 102669, 123470, 102433, 16144, 127331, 124949, 30512, 57106, 103854, 30369, 22656, 38641, 1811, 57933, 108941, 15682, 105060, 102456, 101987, 5486, 102865, 71289, 26892, 53953, 5486, 106581, 5486, 101310, 107, 105465, 104309, 8189, 82252, 369, 6150, 15682, 5486, 69978, 106307, 88367, 26854, 106222, 109832, 21990, 16144, 124122, 104378, 30512, 103350, 124299, 54926, 102321, 75267, 16144, 105408, 19732, 21990, 107263, 30512, 106608, 110238, 54926, 107420, 109531, 110548, 38641, 1811, 5608, 82252, 30512, 105465, 106624, 5486, 78183, 107277, 126172, 47884, 48864, 103854, 30369, 100927, 103234, 10110, 102181, 108847, 5486, 106482, 66201, 5486, 64467, 106839, 81742, 16449, 7705, 116825, 47884, 100472, 31431, 5486, 102208, 30590, 16144, 64467, 106839, 30046, 116825, 26854, 104699, 124122, 101772, 23951, 71289, 113841, 16144, 75267, 116825, 47884, 100472, 31431, 54926, 102717, 32149, 5486, 45829, 67645, 32977, 105459, 30512, 13177, 109606, 16144, 102321, 75267, 66383, 13, 128001, 128000, 103309, 127379, 50834, 19732, 78244, 116285, 109657, 108056, 29295, 54926, 102944, 102677, 25197, 126989, 115991, 33541, 123794, 9174, 103350, 104983, 20230, 5486, 109657, 108056, 29295, 103309, 127379, 50834, 123410, 39177, 23538, 16144, 93298, 29220, 15682, 21990, 74482, 18, 113746, 119400, 21909, 16, 97049, 103188, 105557, 119400, 118816, 117952, 106824, 61689, 9174, 90620, 121270, 102052, 103309, 127379, 50834, 119279, 118969, 76947, 47884, 104533, 117952, 104028, 17, 97049, 119400, 20230, 103309, 127379, 50834, 123410, 45829, 29295, 61689, 9174, 85701, 15682, 15120, 33014, 26854, 112371, 26854, 105879, 109954, 32149, 9174, 53900, 120953, 125338, 120175, 100815, 32149, 127397, 122765, 104984, 126521, 105879, 109954, 32149, 9174, 37271, 18904, 15682, 17, 97049, 116581, 16144, 103309, 127379, 50834, 109853, 123011, 62004, 106956, 106046, 61689, 9174, 567, 220, 17, 97049, 116581, 16144, 103309, 127379, 50834, 15682, 117733, 117733, 23538, 29295, 113385, 95532, 117032, 5486, 109657, 108056, 16144, 103309, 127379, 50834, 15682, 104654, 37823, 78525, 91062, 16144, 108267, 33121, 71289, 71634, 108744, 5486, 9080, 16325, 16144, 110456, 106266, 104309, 29295, 113385, 16556, 125119, 104533, 117952, 106824, 61689, 9174, 53900, 5486, 9953, 106036, 95, 16144, 103167, 16995, 109657, 108056, 16144, 126513, 5486, 11881, 120, 103309, 16144, 24775, 103283, 29295, 59739, 32149, 101860, 5486, 103309, 126867, 30832, 29295, 112854, 107436, 127379, 102532, 114732, 102677, 80805, 102514, 16073, 32977, 57903, 33541, 9174, 58426, 103846, 5486, 104654, 37823, 78525, 91062, 29295, 21105, 96, 107277, 39926, 33014, 48634, 32977, 59739, 102532, 109749, 16, 97049, 103188, 105557, 119400, 102052, 120175, 100815, 102532, 109749, 105908, 127181, 38641, 9174, 77181, 5486, 108936, 9554, 102052, 103309, 127379, 50834, 29295, 120175, 100815, 102532, 50834, 100934, 116497, 16144, 17, 97049, 119400, 20230, 103309, 127379, 50834, 54926, 104468, 26854, 112371, 26854, 105879, 109954, 32149, 9174, 17, 97049, 116581, 29295, 103309, 127379, 50834, 123410, 27384, 112495, 113385, 15682, 5486, 9080, 16325, 16144, 71634, 108744, 71289, 110456, 106266, 118816, 117952, 106824, 61689, 9174, 27452, 116285, 5486, 33563, 101662, 104674, 20230, 33035, 16995, 36785, 56051, 5486, 73686, 42891, 104087, 15024, 126198, 104309, 5486, 104654, 54926, 17905, 16556, 27384, 112495, 104721, 33208, 29295, 72718, 105898, 107803, 104309, 29295, 102131, 38641, 9174, 113261, 16995, 127032, 125030, 76947, 104654, 37823, 78525, 91062, 71289, 117501, 16144, 104721, 33208, 15682, 27384, 112495, 110456, 106266, 9458, 71634, 108744, 115717, 33541, 9174, 58426, 16325, 72661, 33035, 104674, 71289, 73686, 42891, 104087, 15024, 15682, 115515, 103296, 106613, 111186, 109768, 104435, 117501, 20230, 107850, 102802, 104526, 104004, 100909, 108176, 105879, 5486, 110456, 106266, 32977, 71634, 108744, 32977, 119448, 47884, 112160, 39177, 112535, 103309, 127379, 50834, 123410, 101200, 108176, 45829, 32977, 117902, 106624, 124897, 9174, 80539, 108031, 115303, 59739, 5486, 17, 97049, 116581, 16144, 103309, 127379, 50834, 16144, 113385, 103306, 127181, 112973, 5486, 117733, 117733, 23538, 111848, 117375, 38641, 9174, 103350, 15682, 5486, 117733, 117733, 23538, 103195, 105908, 117375, 39926, 103309, 127379, 50834, 123410, 101200, 108176, 124863, 117902, 106624, 100604, 16144, 38641, 9174, 9080, 16325, 5486, 117733, 117733, 23538, 117255, 84844, 20230, 112909, 123307, 119188, 80805, 80805, 71289, 68759, 68759, 32977, 127181, 118733, 109954, 9174, 13177, 121120, 100934, 39177, 103296, 44620, 117733, 117733, 36761, 30512, 103792, 16144, 6447, 91006, 119150, 32149, 110241, 33121, 107515, 29295, 121906, 95604, 100909, 77181, 124897, 9174, 117733, 117733, 23538, 15682, 5486, 45829, 67645, 32977, 29295, 102099, 36668, 105714, 126198, 31431, 108048, 29295, 33035, 110104, 126101, 37046, 110020, 56051, 31431, 5486, 120007, 16144, 120208, 30512, 78698, 105262, 105908, 108608, 101200, 108176, 124122, 27384, 30926, 26854, 13153, 101544, 103188, 39607, 112028, 59739, 38641, 9174, 77693, 29295, 17620, 32149, 103836, 55031, 5486, 108608, 103378, 127032, 20230, 108385, 31431, 114001, 76947, 117733, 117733, 23538, 30512, 110498, 31431, 104087, 58942, 101200, 117408, 80805, 80805, 71289, 68759, 68759, 32977, 43240, 118544, 106046, 61689, 9174, 67016, 21105, 103, 29295, 33503, 5486, 80805, 80805, 71289, 68759, 68759, 120885, 114516, 38641, 9174, 16, 117816, 99849, 27479, 32977, 99849, 27479, 32977, 13177, 117733, 76864, 19732, 127379, 50834, 83601, 248, 32149, 33121, 104984, 5486, 30813, 17663, 29295, 25197, 102803, 32131, 39926, 50834, 38144, 103801, 61689, 123794, 9174, 16, 118821, 117733, 117733, 114475, 76622, 82533, 107436, 104622, 106624, 30813, 103306, 32977, 5486, 20, 17620, 74482, 102052, 53900, 103283, 16144, 118733, 13177, 117733, 76864, 19732, 127379, 102334, 31431, 113799, 100472, 31431, 116216, 114732, 14382, 9174, 119869, 15682, 104622, 106624, 101682, 76622, 82533, 62004, 100481, 111243, 5486, 124042, 112535, 13177, 108031, 104712, 21601, 114485, 116446, 76864, 19732, 125641, 112535, 113799, 76947, 114732, 100909, 120885, 101182, 123253, 9174, 106548, 24273, 100604, 102083, 116285, 106548, 24273, 100604, 16144, 119627, 5486, 45829, 67645, 32977, 15682, 27384, 112495, 102895, 48552, 114475, 105784, 107803, 115991, 33541, 9174, 80805, 80805, 71289, 68759, 68759, 16144, 113799, 100472, 105791, 71289, 5877, 109, 109115, 71174, 29295, 101171, 111, 118124, 20230, 123307, 50834, 114308, 5486, 103309, 126867, 114284, 118158, 31431, 113871, 20230, 64121, 115926, 39926, 103309, 127379, 50834, 123410, 30926, 107407, 16144, 38641, 9174, 50, 35841, 6074, 198, 567, 105729, 104930, 117733, 23538, 16144, 103309, 127379, 50834, 30512, 120175, 100815, 32149, 122101, 41007, 198, 117733, 117733, 23538, 117255, 84844, 29295, 105047, 20230, 103309, 127379, 50834, 123410, 101200, 110276, 33503, 5486, 126843, 15682, 9080, 16325, 16144, 103826, 45829, 30512, 114284, 20834, 39926, 64121, 38144, 17297, 65316, 9174, 104195, 47884, 5877, 109, 31431, 103188, 105557, 38144, 114604, 110745, 112495, 71174, 16556, 113799, 122173, 76947, 114604, 102677, 109335, 124897, 32149, 11571, 116900, 20230, 25197, 102803, 32131, 16144, 30591, 109709, 43568, 103984, 30512, 39926, 114604, 102677, 109335, 100604, 123253, 32149, 9174, 114284, 40265, 28713, 30369, 107792, 107407, 105879, 30591, 104984, 106116, 124863, 104195, 47884, 5877, 109, 109115, 31431, 27384, 112495, 71174, 16556, 113799, 122173, 109115, 125344, 119467, 16995, 114284, 71289, 5486, 43568, 103984, 30512, 116216, 114604, 110018, 16144, 15973, 224, 106624, 127408, 26854, 120208, 29295, 113385, 16556, 103309, 127379, 50834, 30512, 103792, 104865, 110241, 33121, 107515, 9174, 108608, 100909, 105110, 5486, 117733, 117733, 23538, 117255, 84844, 16144, 78244, 91875, 30512, 122617, 101682, 76622, 82533, 62004, 5486, 125641, 9554, 101983, 121140, 113115, 106608, 39926, 122765, 106956, 102944, 38641, 123794, 9174, 72661, 5486, 80805, 80805, 71289, 68759, 68759, 32977, 114516, 38641, 55031, 5486, 107943, 47406, 104812, 100, 26854, 117271, 15682, 111108, 102800, 106046, 61689, 9174, 110241, 32977, 104195, 47884, 5877, 109, 31431, 103188, 105557, 28713, 5486, 106142, 106956, 107328, 27479, 30512, 19732, 76947, 114604, 102677, 126513, 106116, 123470, 108526, 117243, 30512, 21105, 96, 107277, 39926, 122765, 17129, 109954, 9174, 33334, 106483, 119178, 120208, 29295, 120175, 100815, 102334, 33503, 5486, 126843, 15682, 127032, 30512, 105557, 116186, 104043, 108623, 50834, 15024, 107436, 122765, 38144, 17297, 65316, 9174, 80539, 36896, 5877, 109, 31431, 103188, 105557, 38144, 103801, 76947, 48154, 62004, 103171, 65316, 9174, 117475, 15682, 30591, 112568, 16144, 109335, 27384, 53901, 112495, 16144, 57980, 66383, 95604, 120208, 30512, 108044, 107290, 122765, 17129, 109954, 9174, 13177, 115389, 103836, 55031, 5877, 109, 100472, 31431, 43568, 103984, 126198, 16144, 111769, 66383, 95604, 120208, 30512, 21105, 96, 107277, 19732, 5486, 45829, 67645, 32977, 20230, 17620, 117295, 104466, 108044, 107290, 122765, 17129, 109954, 9174, 77693, 103378, 72661, 5486, 127032, 29295, 101682, 107674, 109755, 119467, 64209, 71289, 127408, 26854, 120208, 29295, 71289, 78183, 33503, 104699, 102944, 38641, 9174, 103309, 127379, 50834, 29295, 106307, 47884, 101200, 127303, 104984, 5486, 127032, 30512, 127408, 20230, 107726, 126386, 32149, 112160, 27479, 9080, 16325, 16144, 103826, 45829, 30512, 123927, 104196, 76947, 64121, 38144, 17297, 65316, 101832, 9174, 567, 121655, 67016, 112990, 103309, 121602, 111571, 32149, 32977, 95532, 17, 97049, 119400, 117255, 84844, 16144, 103309, 127379, 50834, 16144, 113385, 15682, 43511, 105352, 57903, 33541, 9174, 110241, 32977, 106116, 103309, 127379, 50834, 29295, 108008, 20230, 106266, 102800, 53953, 115287, 126513, 5486, 71634, 108744, 71289, 117733, 117733, 23538, 16144, 117375, 126194, 5486, 103309, 121602, 111571, 103195, 125396, 32977, 57903, 33541, 9174, 103309, 121602, 111571, 107118, 113136, 120379, 108502, 104698, 112028, 104091, 38641, 9174, 17, 97049, 21909, 31809, 106718, 119400, 117255, 84844, 126365, 102204, 33541, 9174, 103309, 126867, 113938, 107850, 102802, 72718, 50834, 38144, 127379, 50834, 105424, 102802, 5486, 87177, 67016, 107441, 32977, 108870, 30512, 101427, 122, 76622, 101860, 20230, 127379, 50834, 106307, 76622, 33541, 9174, 39177, 102052, 110665, 104028, 115789, 57903, 33541, 9174, 127091, 107898, 102802, 107290, 110441, 58942, 100934, 115789, 57903, 33541, 9174, 99849, 30512, 120837, 108870, 30512, 110726, 30813, 100604, 110115, 5486, 88399, 104, 47884, 112990, 109683, 20230, 121120, 38144, 114732, 102677, 105908, 127181, 38641, 9174, 53900, 5486, 103293, 117084, 22656, 17792, 20230, 114140, 39926, 64121, 111243, 5486, 103309, 126867, 72718, 105898, 30926, 17663, 33503, 112854, 58942, 126386, 105908, 102717, 19732, 124592, 38641, 9174, 103309, 121602, 111571, 108176, 113385, 15682, 15682, 121381, 111842, 78183, 32149, 107462, 107515, 29295, 5486, 101171, 111, 16144, 102404, 104067, 29295, 39442, 109809, 26854, 113009, 125119, 104533, 117952, 106824, 61689, 9174, 43240, 119064, 126513, 13153, 101544, 112990, 107173, 20230, 109683, 19732, 33334, 30813, 109709, 33541, 9174, 103309, 121602, 111571, 15682, 103429, 95221, 102677, 113334, 111769, 105879, 5486, 71005, 109519, 25333, 15682, 103470, 5486, 109683, 20230, 71005, 115464, 16144, 30512, 75293, 59739, 67016, 124897, 9174, 90620, 5486, 106266, 106624, 110665, 103468, 31431, 39926, 109688, 117126, 103195, 126513, 5486, 103242, 104599, 55031, 113116, 30512, 120175, 100815, 32149, 122101, 117434, 30512, 117120, 24273, 107001, 107803, 32977, 57903, 33541, 9174, 103309, 127379, 50834, 29295, 106266, 106624, 5486, 120065, 103826, 45829, 119279, 32149, 102800, 26854, 106046, 100472, 33503, 5486, 103309, 121602, 111571, 30512, 107750, 76947, 64121, 111243, 103424, 118544, 110241, 33121, 107515, 9174, 567, 220, 123011, 62004, 198, 108936, 9554, 102052, 109657, 108056, 16144, 126101, 125119, 30369, 103309, 127379, 50834, 119627, 5486, 17, 97049, 119400, 117255, 84844, 32977, 103309, 127379, 50834, 123410, 105908, 57903, 33541, 9174, 113385, 15682, 36668, 20230, 9080, 16325, 16144, 71634, 108744, 71289, 110456, 106266, 38641, 9174, 43514, 107106, 67645, 117733, 117733, 23538, 89151, 42891, 32335, 16325, 102677, 8107, 106036, 95, 38641, 55031, 5486, 117733, 117733, 23538, 16144, 117375, 103195, 107803, 32977, 57903, 33541, 9174, 9080, 16325, 5486, 80805, 80805, 71289, 68759, 68759, 20230, 50834, 59739, 47884, 5877, 109, 109115, 33014, 111186, 71289, 5486, 25197, 102803, 32131, 103792, 80805, 80805, 71289, 68759, 68759, 16144, 119467, 16995, 105791, 29295, 101171, 111, 118124, 20230, 123307, 50834, 114308, 5486, 121120, 100934, 126101, 114284, 20834, 39926, 103309, 127379, 50834, 107294, 105722, 30369, 105908, 101182, 16144, 38641, 9174, 117733, 117733 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 110911, 96555, 102700, 26213, 108477, 255, 115226, 124766, 108477, 255, 115226, 108477, 255, 102189, 105180, 107707, 105060, 102456, 101987, 16144, 60634, 31431, 104721, 116547, 30512, 115132, 125581, 9458, 101402, 50211, 106390, 102669, 106106, 16144, 25580, 74482, 16556, 91774, 57106, 103854, 33541, 1811, 102669, 106106, 16144, 117375, 16556, 17792, 104680, 16144, 104654, 29295, 67645, 119775, 104721, 33208, 109768, 100472, 104865, 104088, 100481, 50834, 106272, 13, 112119, 50211, 106390, 102669, 106106, 16325, 5486, 45829, 67645, 32977, 15682, 67645, 103171, 47884, 124949, 30512, 107113, 16144, 50534, 99, 39177, 16325, 16144, 127331, 124949, 107118, 11571, 46729, 101721, 126758, 102669, 106106, 16325, 16144, 108008, 125344, 102456, 30926, 15682, 13, 116807, 5486, 105060, 104770, 9458, 123259, 53953, 9458, 106786, 77913, 104309, 10110, 49412, 100, 50534, 99, 123470, 127512, 115517, 104309, 13, 103774, 70821, 44309, 482, 27685, 220, 1758, 13, 115638, 16144, 102669, 106106, 104926, 102669, 39177, 17297, 16144, 29504, 70821, 19732, 17792, 104680, 16144, 47884, 124949, 104926, 31809, 106718, 112119, 50211, 106390, 102669, 106106, 29295, 53508, 225, 102404, 121256, 104468, 115408, 29295, 29504, 70821, 104575, 64803, 8107, 21990, 16144, 39177, 16556, 56051, 1811, 119869, 16144, 102669, 91077, 15682, 105189, 71289, 107188, 78943, 45893, 122416, 16556, 5486, 100927, 102452, 20230, 105714, 109115, 27384, 101778, 127022, 55999, 15308, 226, 12554, 237, 106391, 101067, 16144, 30590, 111629, 15682, 5486, 117073, 113692, 16144, 110447, 16556, 123653, 62004, 59739, 47884, 116216, 23039, 50834, 79721, 1811, 45631, 37046, 29295, 27384, 102433, 106152, 101257, 15682, 32307, 101083, 15120, 39276, 16144, 36827, 105600, 627, 102669, 106106, 16144, 117375, 16556, 17792, 104680, 16144, 104654, 29295, 67645, 119775, 104721, 33208, 109768, 100472, 104865, 104088, 100481, 50834, 5486, 50211, 34208, 16144, 30358, 64121, 30512, 113727, 33541, 1811, 39880, 125581, 9458, 101402, 50211, 106390, 102669, 106106, 30512, 103496, 20230, 5486, 102669, 25580, 9458, 102669, 16325, 9458, 102669, 123470, 102433, 16144, 127331, 124949, 30512, 57106, 103854, 30369, 22656, 38641, 1811, 57933, 108941, 15682, 105060, 102456, 101987, 5486, 102865, 71289, 26892, 53953, 5486, 106581, 5486, 101310, 107, 105465, 104309, 8189, 82252, 369, 6150, 15682, 5486, 69978, 106307, 88367, 26854, 106222, 109832, 21990, 16144, 124122, 104378, 30512, 103350, 124299, 54926, 102321, 75267, 16144, 105408, 19732, 21990, 107263, 30512, 106608, 110238, 54926, 107420, 109531, 110548, 38641, 1811, 5608, 82252, 30512, 105465, 106624, 5486, 78183, 107277, 126172, 47884, 48864, 103854, 30369, 100927, 103234, 10110, 102181, 108847, 5486, 106482, 66201, 5486, 64467, 106839, 81742, 16449, 7705, 116825, 47884, 100472, 31431, 5486, 102208, 30590, 16144, 64467, 106839, 30046, 116825, 26854, 104699, 124122, 101772, 23951, 71289, 113841, 16144, 75267, 116825, 47884, 100472, 31431, 54926, 102717, 32149, 5486, 45829, 67645, 32977, 105459, 30512, 13177, 109606, 16144, 102321, 75267, 66383, 13, 128001, 128000, 103309, 127379, 50834, 19732, 78244, 116285, 109657, 108056, 29295, 54926, 102944, 102677, 25197, 126989, 115991, 33541, 123794, 9174, 103350, 104983, 20230, 5486, 109657, 108056, 29295, 103309, 127379, 50834, 123410, 39177, 23538, 16144, 93298, 29220, 15682, 21990, 74482, 18, 113746, 119400, 21909, 16, 97049, 103188, 105557, 119400, 118816, 117952, 106824, 61689, 9174, 90620, 121270, 102052, 103309, 127379, 50834, 119279, 118969, 76947, 47884, 104533, 117952, 104028, 17, 97049, 119400, 20230, 103309, 127379, 50834, 123410, 45829, 29295, 61689, 9174, 85701, 15682, 15120, 33014, 26854, 112371, 26854, 105879, 109954, 32149, 9174, 53900, 120953, 125338, 120175, 100815, 32149, 127397, 122765, 104984, 126521, 105879, 109954, 32149, 9174, 37271, 18904, 15682, 17, 97049, 116581, 16144, 103309, 127379, 50834, 109853, 123011, 62004, 106956, 106046, 61689, 9174, 567, 220, 17, 97049, 116581, 16144, 103309, 127379, 50834, 15682, 117733, 117733, 23538, 29295, 113385, 95532, 117032, 5486, 109657, 108056, 16144, 103309, 127379, 50834, 15682, 104654, 37823, 78525, 91062, 16144, 108267, 33121, 71289, 71634, 108744, 5486, 9080, 16325, 16144, 110456, 106266, 104309, 29295, 113385, 16556, 125119, 104533, 117952, 106824, 61689, 9174, 53900, 5486, 9953, 106036, 95, 16144, 103167, 16995, 109657, 108056, 16144, 126513, 5486, 11881, 120, 103309, 16144, 24775, 103283, 29295, 59739, 32149, 101860, 5486, 103309, 126867, 30832, 29295, 112854, 107436, 127379, 102532, 114732, 102677, 80805, 102514, 16073, 32977, 57903, 33541, 9174, 58426, 103846, 5486, 104654, 37823, 78525, 91062, 29295, 21105, 96, 107277, 39926, 33014, 48634, 32977, 59739, 102532, 109749, 16, 97049, 103188, 105557, 119400, 102052, 120175, 100815, 102532, 109749, 105908, 127181, 38641, 9174, 77181, 5486, 108936, 9554, 102052, 103309, 127379, 50834, 29295, 120175, 100815, 102532, 50834, 100934, 116497, 16144, 17, 97049, 119400, 20230, 103309, 127379, 50834, 54926, 104468, 26854, 112371, 26854, 105879, 109954, 32149, 9174, 17, 97049, 116581, 29295, 103309, 127379, 50834, 123410, 27384, 112495, 113385, 15682, 5486, 9080, 16325, 16144, 71634, 108744, 71289, 110456, 106266, 118816, 117952, 106824, 61689, 9174, 27452, 116285, 5486, 33563, 101662, 104674, 20230, 33035, 16995, 36785, 56051, 5486, 73686, 42891, 104087, 15024, 126198, 104309, 5486, 104654, 54926, 17905, 16556, 27384, 112495, 104721, 33208, 29295, 72718, 105898, 107803, 104309, 29295, 102131, 38641, 9174, 113261, 16995, 127032, 125030, 76947, 104654, 37823, 78525, 91062, 71289, 117501, 16144, 104721, 33208, 15682, 27384, 112495, 110456, 106266, 9458, 71634, 108744, 115717, 33541, 9174, 58426, 16325, 72661, 33035, 104674, 71289, 73686, 42891, 104087, 15024, 15682, 115515, 103296, 106613, 111186, 109768, 104435, 117501, 20230, 107850, 102802, 104526, 104004, 100909, 108176, 105879, 5486, 110456, 106266, 32977, 71634, 108744, 32977, 119448, 47884, 112160, 39177, 112535, 103309, 127379, 50834, 123410, 101200, 108176, 45829, 32977, 117902, 106624, 124897, 9174, 80539, 108031, 115303, 59739, 5486, 17, 97049, 116581, 16144, 103309, 127379, 50834, 16144, 113385, 103306, 127181, 112973, 5486, 117733, 117733, 23538, 111848, 117375, 38641, 9174, 103350, 15682, 5486, 117733, 117733, 23538, 103195, 105908, 117375, 39926, 103309, 127379, 50834, 123410, 101200, 108176, 124863, 117902, 106624, 100604, 16144, 38641, 9174, 9080, 16325, 5486, 117733, 117733, 23538, 117255, 84844, 20230, 112909, 123307, 119188, 80805, 80805, 71289, 68759, 68759, 32977, 127181, 118733, 109954, 9174, 13177, 121120, 100934, 39177, 103296, 44620, 117733, 117733, 36761, 30512, 103792, 16144, 6447, 91006, 119150, 32149, 110241, 33121, 107515, 29295, 121906, 95604, 100909, 77181, 124897, 9174, 117733, 117733, 23538, 15682, 5486, 45829, 67645, 32977, 29295, 102099, 36668, 105714, 126198, 31431, 108048, 29295, 33035, 110104, 126101, 37046, 110020, 56051, 31431, 5486, 120007, 16144, 120208, 30512, 78698, 105262, 105908, 108608, 101200, 108176, 124122, 27384, 30926, 26854, 13153, 101544, 103188, 39607, 112028, 59739, 38641, 9174, 77693, 29295, 17620, 32149, 103836, 55031, 5486, 108608, 103378, 127032, 20230, 108385, 31431, 114001, 76947, 117733, 117733, 23538, 30512, 110498, 31431, 104087, 58942, 101200, 117408, 80805, 80805, 71289, 68759, 68759, 32977, 43240, 118544, 106046, 61689, 9174, 67016, 21105, 103, 29295, 33503, 5486, 80805, 80805, 71289, 68759, 68759, 120885, 114516, 38641, 9174, 16, 117816, 99849, 27479, 32977, 99849, 27479, 32977, 13177, 117733, 76864, 19732, 127379, 50834, 83601, 248, 32149, 33121, 104984, 5486, 30813, 17663, 29295, 25197, 102803, 32131, 39926, 50834, 38144, 103801, 61689, 123794, 9174, 16, 118821, 117733, 117733, 114475, 76622, 82533, 107436, 104622, 106624, 30813, 103306, 32977, 5486, 20, 17620, 74482, 102052, 53900, 103283, 16144, 118733, 13177, 117733, 76864, 19732, 127379, 102334, 31431, 113799, 100472, 31431, 116216, 114732, 14382, 9174, 119869, 15682, 104622, 106624, 101682, 76622, 82533, 62004, 100481, 111243, 5486, 124042, 112535, 13177, 108031, 104712, 21601, 114485, 116446, 76864, 19732, 125641, 112535, 113799, 76947, 114732, 100909, 120885, 101182, 123253, 9174, 106548, 24273, 100604, 102083, 116285, 106548, 24273, 100604, 16144, 119627, 5486, 45829, 67645, 32977, 15682, 27384, 112495, 102895, 48552, 114475, 105784, 107803, 115991, 33541, 9174, 80805, 80805, 71289, 68759, 68759, 16144, 113799, 100472, 105791, 71289, 5877, 109, 109115, 71174, 29295, 101171, 111, 118124, 20230, 123307, 50834, 114308, 5486, 103309, 126867, 114284, 118158, 31431, 113871, 20230, 64121, 115926, 39926, 103309, 127379, 50834, 123410, 30926, 107407, 16144, 38641, 9174, 50, 35841, 6074, 198, 567, 105729, 104930, 117733, 23538, 16144, 103309, 127379, 50834, 30512, 120175, 100815, 32149, 122101, 41007, 198, 117733, 117733, 23538, 117255, 84844, 29295, 105047, 20230, 103309, 127379, 50834, 123410, 101200, 110276, 33503, 5486, 126843, 15682, 9080, 16325, 16144, 103826, 45829, 30512, 114284, 20834, 39926, 64121, 38144, 17297, 65316, 9174, 104195, 47884, 5877, 109, 31431, 103188, 105557, 38144, 114604, 110745, 112495, 71174, 16556, 113799, 122173, 76947, 114604, 102677, 109335, 124897, 32149, 11571, 116900, 20230, 25197, 102803, 32131, 16144, 30591, 109709, 43568, 103984, 30512, 39926, 114604, 102677, 109335, 100604, 123253, 32149, 9174, 114284, 40265, 28713, 30369, 107792, 107407, 105879, 30591, 104984, 106116, 124863, 104195, 47884, 5877, 109, 109115, 31431, 27384, 112495, 71174, 16556, 113799, 122173, 109115, 125344, 119467, 16995, 114284, 71289, 5486, 43568, 103984, 30512, 116216, 114604, 110018, 16144, 15973, 224, 106624, 127408, 26854, 120208, 29295, 113385, 16556, 103309, 127379, 50834, 30512, 103792, 104865, 110241, 33121, 107515, 9174, 108608, 100909, 105110, 5486, 117733, 117733, 23538, 117255, 84844, 16144, 78244, 91875, 30512, 122617, 101682, 76622, 82533, 62004, 5486, 125641, 9554, 101983, 121140, 113115, 106608, 39926, 122765, 106956, 102944, 38641, 123794, 9174, 72661, 5486, 80805, 80805, 71289, 68759, 68759, 32977, 114516, 38641, 55031, 5486, 107943, 47406, 104812, 100, 26854, 117271, 15682, 111108, 102800, 106046, 61689, 9174, 110241, 32977, 104195, 47884, 5877, 109, 31431, 103188, 105557, 28713, 5486, 106142, 106956, 107328, 27479, 30512, 19732, 76947, 114604, 102677, 126513, 106116, 123470, 108526, 117243, 30512, 21105, 96, 107277, 39926, 122765, 17129, 109954, 9174, 33334, 106483, 119178, 120208, 29295, 120175, 100815, 102334, 33503, 5486, 126843, 15682, 127032, 30512, 105557, 116186, 104043, 108623, 50834, 15024, 107436, 122765, 38144, 17297, 65316, 9174, 80539, 36896, 5877, 109, 31431, 103188, 105557, 38144, 103801, 76947, 48154, 62004, 103171, 65316, 9174, 117475, 15682, 30591, 112568, 16144, 109335, 27384, 53901, 112495, 16144, 57980, 66383, 95604, 120208, 30512, 108044, 107290, 122765, 17129, 109954, 9174, 13177, 115389, 103836, 55031, 5877, 109, 100472, 31431, 43568, 103984, 126198, 16144, 111769, 66383, 95604, 120208, 30512, 21105, 96, 107277, 19732, 5486, 45829, 67645, 32977, 20230, 17620, 117295, 104466, 108044, 107290, 122765, 17129, 109954, 9174, 77693, 103378, 72661, 5486, 127032, 29295, 101682, 107674, 109755, 119467, 64209, 71289, 127408, 26854, 120208, 29295, 71289, 78183, 33503, 104699, 102944, 38641, 9174, 103309, 127379, 50834, 29295, 106307, 47884, 101200, 127303, 104984, 5486, 127032, 30512, 127408, 20230, 107726, 126386, 32149, 112160, 27479, 9080, 16325, 16144, 103826, 45829, 30512, 123927, 104196, 76947, 64121, 38144, 17297, 65316, 101832, 9174, 567, 121655, 67016, 112990, 103309, 121602, 111571, 32149, 32977, 95532, 17, 97049, 119400, 117255, 84844, 16144, 103309, 127379, 50834, 16144, 113385, 15682, 43511, 105352, 57903, 33541, 9174, 110241, 32977, 106116, 103309, 127379, 50834, 29295, 108008, 20230, 106266, 102800, 53953, 115287, 126513, 5486, 71634, 108744, 71289, 117733, 117733, 23538, 16144, 117375, 126194, 5486, 103309, 121602, 111571, 103195, 125396, 32977, 57903, 33541, 9174, 103309, 121602, 111571, 107118, 113136, 120379, 108502, 104698, 112028, 104091, 38641, 9174, 17, 97049, 21909, 31809, 106718, 119400, 117255, 84844, 126365, 102204, 33541, 9174, 103309, 126867, 113938, 107850, 102802, 72718, 50834, 38144, 127379, 50834, 105424, 102802, 5486, 87177, 67016, 107441, 32977, 108870, 30512, 101427, 122, 76622, 101860, 20230, 127379, 50834, 106307, 76622, 33541, 9174, 39177, 102052, 110665, 104028, 115789, 57903, 33541, 9174, 127091, 107898, 102802, 107290, 110441, 58942, 100934, 115789, 57903, 33541, 9174, 99849, 30512, 120837, 108870, 30512, 110726, 30813, 100604, 110115, 5486, 88399, 104, 47884, 112990, 109683, 20230, 121120, 38144, 114732, 102677, 105908, 127181, 38641, 9174, 53900, 5486, 103293, 117084, 22656, 17792, 20230, 114140, 39926, 64121, 111243, 5486, 103309, 126867, 72718, 105898, 30926, 17663, 33503, 112854, 58942, 126386, 105908, 102717, 19732, 124592, 38641, 9174, 103309, 121602, 111571, 108176, 113385, 15682, 15682, 121381, 111842, 78183, 32149, 107462, 107515, 29295, 5486, 101171, 111, 16144, 102404, 104067, 29295, 39442, 109809, 26854, 113009, 125119, 104533, 117952, 106824, 61689, 9174, 43240, 119064, 126513, 13153, 101544, 112990, 107173, 20230, 109683, 19732, 33334, 30813, 109709, 33541, 9174, 103309, 121602, 111571, 15682, 103429, 95221, 102677, 113334, 111769, 105879, 5486, 71005, 109519, 25333, 15682, 103470, 5486, 109683, 20230, 71005, 115464, 16144, 30512, 75293, 59739, 67016, 124897, 9174, 90620, 5486, 106266, 106624, 110665, 103468, 31431, 39926, 109688, 117126, 103195, 126513, 5486, 103242, 104599, 55031, 113116, 30512, 120175, 100815, 32149, 122101, 117434, 30512, 117120, 24273, 107001, 107803, 32977, 57903, 33541, 9174, 103309, 127379, 50834, 29295, 106266, 106624, 5486, 120065, 103826, 45829, 119279, 32149, 102800, 26854, 106046, 100472, 33503, 5486, 103309, 121602, 111571, 30512, 107750, 76947, 64121, 111243, 103424, 118544, 110241, 33121, 107515, 9174, 567, 220, 123011, 62004, 198, 108936, 9554, 102052, 109657, 108056, 16144, 126101, 125119, 30369, 103309, 127379, 50834, 119627, 5486, 17, 97049, 119400, 117255, 84844, 32977, 103309, 127379, 50834, 123410, 105908, 57903, 33541, 9174, 113385, 15682, 36668, 20230, 9080, 16325, 16144, 71634, 108744, 71289, 110456, 106266, 38641, 9174, 43514, 107106, 67645, 117733, 117733, 23538, 89151, 42891, 32335, 16325, 102677, 8107, 106036, 95, 38641, 55031, 5486, 117733, 117733, 23538, 16144, 117375, 103195, 107803, 32977, 57903, 33541, 9174, 9080, 16325, 5486, 80805, 80805, 71289, 68759, 68759, 20230, 50834, 59739, 47884, 5877, 109, 109115, 33014, 111186, 71289, 5486, 25197, 102803, 32131, 103792, 80805, 80805, 71289, 68759, 68759, 16144, 119467, 16995, 105791, 29295, 101171, 111, 118124, 20230, 123307, 50834, 114308, 5486, 121120, 100934, 126101, 114284, 20834, 39926, 103309, 127379, 50834, 107294, 105722, 30369, 105908, 101182, 16144, 38641, 9174, 117733, 117733 ]
[ 23538, 117255, 84844, 29295, 103309, 127379, 50834, 123410, 101200, 110276, 33503, 112160, 27479, 9080, 16325, 16144, 104654, 104088, 74245, 39926, 5486, 45829, 67645, 32977, 20230, 13177, 27384, 120111, 117503, 120208, 30512, 21105, 96, 107277, 108044, 107290, 5486, 127408, 26854, 120208, 30512, 108167, 21418, 102532, 122765, 30369, 104466, 39926, 72315, 9174, 102131, 126693, 5486, 103309, 127379, 50834, 119279, 30813, 115464, 32149, 110241, 33121, 107515, 1811, 128001, 128000, 72342, 67645, 31431, 30512, 27704, 109315, 20230, 30591, 28713, 76947, 5486, 102717, 109416, 122617, 120332, 29295, 107740, 54926, 26948, 9174, 37271, 18904, 15682, 5486, 26948, 72342, 67645, 31431, 30512, 27704, 62004, 106956, 17792, 20230, 198, 12, 116195, 244, 104874, 16144, 106548, 24273, 198, 12, 112828, 112772, 11883, 37689, 39926, 33334, 47884, 125231, 102944, 198, 30512, 126362, 78434, 9174, 37271, 55031, 72342, 67645, 31431, 30512, 27704, 109315, 24273, 5486, 72342, 67645, 31431, 85707, 64209, 112919, 24273, 121254, 107441, 15120, 55031, 50338, 108323, 109768, 50834, 33541, 105879, 5486, 51385, 64209, 39926, 98499, 64121, 103130, 107436, 72315, 9174, 32977, 47884, 100204, 198, 12, 220, 16, 8339, 72342, 67645, 31431, 16556, 109215, 26854, 102944, 9458, 107253, 104874, 17663, 125231, 102944, 107118, 95532, 12, 220, 16, 13, 16, 116195, 244, 104874, 17663, 125231, 102944, 16144, 124766, 15682, 47260, 44971, 36785, 198, 12, 220, 16, 13, 17, 8339, 72342, 67645, 31431, 16556, 109215, 26854, 102944, 13177, 101513, 103234, 104817, 111329, 12, 220, 16, 13, 18, 8339, 72342, 67645, 31431, 16556, 109215, 26854, 102944, 13177, 102924, 60632, 103223, 64178, 104817, 111329, 12, 220, 16, 13, 19, 8339, 72342, 67645, 31431, 16556, 109215, 26854, 102944, 13177, 39880, 71493, 65299, 52414, 104817, 111329, 12, 220, 16, 13, 20, 8339, 72342, 67645, 31431, 16556, 109215, 26854, 102944, 118133, 35330, 104817, 111329, 12, 220, 16, 13, 21, 8339, 72342, 67645, 31431, 16556, 109215, 26854, 102944, 13177, 114950, 111329, 12, 220, 17, 220, 123011, 62004, 8339, 72342, 67645, 31431, 16556, 107253, 104874, 54926, 102944, 198, 567, 8339, 72342, 67645, 31431, 16556, 109215, 26854, 102944, 9458, 107253, 104874, 17663, 125231, 102944, 107118, 95532, 72342, 67645, 31431, 15682, 112832, 72661, 95221, 117355, 20230, 27704, 109315, 105908, 125545, 29295, 5486, 32335, 103167, 48249, 107253, 104874, 39926, 33334, 107188, 118145, 16995, 124324, 105908, 57903, 33541, 9174, 72342, 67645, 31431, 107118, 5486, 106548, 17701, 103468, 47043, 30512, 106548, 125639, 112603, 105755, 126574, 105525, 31431, 112603, 16556, 122626, 21105, 251, 16144, 104364, 109518, 29295, 60632, 105576, 108176, 91482, 76428, 102750, 22398, 38641, 9174, 110924, 16556, 5486, 32335, 32977, 107693, 117084, 109749, 104468, 111476, 13177, 16995, 111201, 39926, 5486, 126521, 47043, 30512, 106548, 17701, 104028, 105908, 108608, 32149, 66383, 95604, 100909, 9174, 110382, 16556, 95604, 36896, 126521, 47043, 66383, 15682, 111476, 12, 8339, 16556, 122626, 127564, 36896, 104364, 109518, 10646, 29295, 16556, 30369, 47043, 198, 12, 8339, 16556, 114421, 127564, 36896, 23187, 23538, 112535, 10646, 105525, 104028, 47043, 198, 85701, 33503, 17, 118821, 77195, 30512, 112624, 28713, 17663, 47043, 16144, 100909, 38641, 9174, 28713, 19732, 58942, 5486, 106548, 125639, 112603, 19732, 122626, 121374, 16144, 104364, 29295, 605, 11, 931, 35757, 105693, 103306, 32977, 111476, 105525, 33121, 123207, 5486, 90620, 16144, 109657, 19113, 36785, 15024, 5486, 16, 117816, 1041, 102159, 71689, 105525, 104028, 47043, 103351, 103306, 32977, 5486, 106548, 125639, 112603, 19732, 122626, 121374, 29295, 110176, 24273, 107173, 605, 11, 931, 35757, 103351, 33503, 220, 100066, 9458, 46034, 56965, 16144, 17620, 103378, 109657, 19113, 38641, 9174, 37271, 18904, 15682, 126521, 47043, 16144, 91774, 110993, 62004, 24273, 120950, 57933, 29220, 122842, 9458, 22398, 62903, 114615, 87177, 16144, 112772, 72342, 67645, 31431, 30512, 27704, 109315, 112772, 32335, 103167, 48249, 107253, 104874, 39926, 33334, 47884, 125231, 100909, 109853, 50338, 108323, 78434, 9174, 118789, 109904, 106548, 125639, 24273, 71289, 108948, 125683, 62004, 16144, 106548, 125639, 61826, 108948, 125683, 62004, 16144, 106901, 16073, 33710, 50667, 109853, 15682, 5486, 23226, 107436, 126362, 78434, 9174, 14711, 116195, 244, 104874, 17663, 125231, 102944, 16144, 124766, 15682, 47260, 44971, 36785, 198, 72342, 67645, 31431, 30512, 27704, 109315, 20230, 30591, 28713, 76947, 107253, 104874, 39926, 102717, 102800, 102944, 30512, 17297, 61304, 20230, 123011, 62004, 79721, 9174, 15120, 59739, 101860, 59739, 50338, 108323, 109768, 50834, 33541, 29295, 5486, 126843, 15682, 75694, 104043, 118146, 33035, 39926, 64121, 38144, 72315, 9174, 827, 125528, 103234, 104817, 198, 12, 110138, 102741, 109713, 198, 12, 80050, 68759, 84477, 108526, 16073, 198, 12, 109887, 107805, 102514, 198, 827, 220, 102924, 60632, 103223, 64178, 104817, 198, 12, 116561, 101335, 44971, 84477, 198, 12, 109228, 38248, 111, 65575, 37823, 117697, 38248, 95, 115507, 198, 827, 94632, 71493, 65299, 52414, 104817, 198, 12, 8339, 114421, 11883, 39880, 71493, 65299, 52414, 198, 12, 109332, 33710, 71493, 37823, 16144, 39880, 71493, 65299, 52414, 198, 827, 106369, 35330, 104817, 198, 12, 116381, 44971, 76428, 67075, 123218, 10110, 68408, 91482, 67075, 123218, 32977, 31540, 23954, 12, 220, 106548, 125639, 20230, 33655, 105262, 103087, 35330, 10110, 85707, 23538, 126330, 23954, 827, 123485, 198, 12, 115752, 53953, 33122, 110008, 31540, 110322, 198, 77693, 77181, 110480, 87217, 20230, 50338, 108323, 109768, 50834, 17129, 109954, 9174, 51330, 77219, 15682, 30591, 47884, 17129, 72661, 378, 98, 198, 12, 116564, 55031, 72342, 67645, 31431, 30512, 27704, 62004, 101200, 103306, 107991, 24273, 198, 12, 220, 72342, 67645, 31431, 85707, 64209, 112919, 24273, 198, 30512, 103359, 47523, 20230, 102181, 102532, 61689, 105879, 5486, 17663, 16556, 20230, 107253, 104874, 29295, 106084, 100934, 102944, 29295, 30591, 104984, 98499, 64121, 107850, 81219, 39926, 72315, 9174, 14711, 8339, 72342, 67645, 31431, 16556, 109215, 26854, 102944, 13177, 101513, 103234, 104817, 111329, 126843, 15682, 5486, 26948, 72342, 67645, 31431, 30512, 27704, 109315, 17905, 16556, 124490, 32149, 72342, 100604, 36896, 101513, 103234, 10646, 109853, 50338, 108323, 109768, 50834, 33541, 9174, 827, 220, 20713, 59983, 80805, 102741, 109713, 198, 126843, 15682, 117119, 126130, 102532, 32977, 80805, 102741, 109713, 125651, 9174, 47043, 30512, 37823, 60868, 113335, 54926, 105352, 114421, 54926, 105352, 5486, 102404, 37705, 54926, 105352, 80805, 102741, 109713, 15682, 59614, 116156, 111090, 57933, 91062, 38641, 9174, 59614, 101860, 198, 124773, 123437, 67075, 16144, 30177, 106307, 117501, 15682, 64531, 107290, 33334, 102532, 72315, 101832, 9174, 32977, 43514, 85791, 25827, 124131, 103927, 29295, 30591, 104984, 118823, 105352, 103721, 233, 29295, 30369, 15024, 5486, 124131, 103927, 72661, 108608, 19967, 101275, 32977, 57903, 33541, 9174, 80673, 120953, 120837, 80805, 102741, 109713, 16556, 67016, 118765, 19967, 101275, 32977, 20834, 38144, 50834, 33541, 105879, 5486, 115924, 103359, 20230, 16, 55038, 80805, 102741, 109713, 30512, 107253, 104874, 54926, 104466, 39926, 72315, 9174, 124131, 103927, 16144, 31809, 30813, 26854, 55723, 28190, 16556, 41190, 54926, 16144, 19732, 80805, 102741, 109713, 126636, 112495, 55723, 28190, 16556, 19967, 101275, 54926, 16144, 19732, 77181, 5486, 19967, 101275, 22398, 70563, 65575, 29295, 121819, 105987, 112535, 108010, 61689, 9174, 58426, 39177, 111476, 99849, 95598, 110743, 32977, 54926, 72404, 45736, 118347, 48552, 16144, 80805, 102741, 109713, 30512, 11883, 37689, 54926, 109215, 15682, 124897, 9174, 32977, 43514, 85791, 25827, 5486, 101335, 84477, 80805, 102741, 109713, 72661, 68408, 22398, 110548, 103830, 80805, 102741, 109713, 72661, 106391, 16995, 107515, 15024, 5486, 28176, 72661, 20122, 72661, 27384, 121313, 38641, 9174, 32335, 103167, 48249, 5486, 124773, 123437, 67075, 30512, 109606, 103470, 33655, 30297, 105908, 106084, 104984, 4012, 38641, 9174, 827, 220, 25963, 59983, 124131, 84477, 108526, 16073, 198, 80805, 102741, 109713, 120332, 29295, 126120, 96455, 29295, 126521, 19732, 107471, 104680, 120267, 79721, 29295, 5486, 124131, 84477, 108526, 16073, 32977, 72342, 67645, 31431, 117824, 30297, 17905, 77181, 59614, 116156, 111090, 57933, 91062, 38641, 9174, 80805, 102741, 109713, 19732, 124131, 84477, 108526, 16073, 30512, 127749, 71289, 116245, 20230, 30591, 110027, 38144, 33655, 16995, 17620, 105784, 105908, 27384, 102769, 115717, 33541, 9174, 43514, 26854, 64121, 20230, 5486, 124131, 84477, 108526, 113883, 118347, 48552, 114556, 120837, 66378, 20230, 109823, 15682, 124897, 1811, 45840, 116806, 102860, 42634, 114265, 67645, 112384, 72661, 102971, 106391, 38641, 9174, 37271, 71289, 102717, 19732, 124592, 120332, 29295, 124131, 84477, 108526, 16073, 114792, 107462, 104533, 91763, 61689, 105879, 37271, 16144, 46034, 110794, 16144, 102944, 16556, 114392, 38641, 9174, 17039, 28713, 20230, 13177, 72342, 67645, 31431, 11883, 124131, 103927, 118587, 107691, 30297, 109215, 15682, 37087, 47884, 100604, 105879, 51385, 64209, 39926, 72315, 9174, 51330, 74482, 122984, 78434, 29295, 5486, 103350, 104983, 107898, 72516, 20230, 16995, 76947, 106548, 17701, 104028, 47043, 104088, 23187, 109315, 104983, 102052, 115132, 115507, 124905, 30297, 100909, 108176, 105879, 106116, 39177, 105352, 124131, 103927, 15682, 59614, 116156, 111090, 57933, 91062, 115717, 33541, 9174, 68431, 109145, 101275, 126120, 96455, 33208, 20230, 124131, 103927, 15682, 59614, 116156, 198, 53900, 77693, 116749, 105352, 5486, 124131, 103927, 29295, 30591, 104984, 48915, 20834, 61826, 72661, 19967, 101275, 29295, 106084, 30369, 102677, 100909, 38641, 9174, 72342, 67645, 31431, 30512, 27704, 62004, 101200, 103306, 107991, 24273, 107809, 102052, 5486, 106966, 101275, 103306, 113727, 100934, 24273, 29295, 127181, 106046, 61689, 9174, 102677, 109335, 5486, 103293, 55031, 103309, 103296, 108729, 9554, 102052, 117876, 30512, 103792, 116497, 38641, 9174, 85707, 62004, 16144, 107404, 15682, 5486, 72342, 67645, 112586, 105843, 125655, 82973, 30512, 105184, 33563, 54926, 100909, 37026, 33014, 29295, 111108, 102800, 115789, 101182, 123253, 9174, 107943, 39177, 102052, 5486, 105677, 107063, 102, 82973, 71289, 23039, 50834, 112454, 111331, 101721, 101918, 16144, 82973, 123160, 120065, 56051, 82973, 20230, 198, 12, 96407, 16144, 37823, 60868, 113335, 198, 12, 105729, 114483, 123437, 67075, 113245, 106548, 125639, 10110, 101721, 101171, 111, 72342, 67645, 31431, 23954, 12, 105961, 25446, 19967, 101275, 198, 12, 80071, 237, 16995, 114146, 117271, 198, 104309, 5486, 106084, 30369, 105908, 121771, 98369, 57903, 33541, 9174, 82973, 30512, 19361, 126120, 76706, 11883, 54926, 109335, 19732, 111243, 27384, 102769, 26854, 105879, 30297, 17129, 47884, 33655, 16995, 17620, 76622, 100481, 50834, 17129, 109954, 9174, 827, 220, 34617, 59983, 57326, 107805, 102514, 198, 122485, 127331, 33503, 119432, 24273, 107809, 102052, 5486, 37689, 48915, 19732, 69978, 107462, 100604, 24273, 32977, 127181, 57326, 107805, 102514, 9174, 85701, 32977, 45736, 118347, 48552, 16144, 102944, 15682, 109215, 100604, 105879, 108948, 46034, 119400, 26854, 121374, 16144, 102944, 30512, 16, 55038, 109198, 17701, 39926, 33334, 50834, 17129, 109954, 9174, 103350, 104983, 20230, 47043, 30512, 106548, 17701, 104028, 110018, 71289, 114421, 54926, 110018, 20230, 33655, 30297, 109335, 124897, 119520, 5486, 47043, 30512, 13177, 102404, 37705, 10646, 54926, 110018, 20230, 57326, 107805, 102514, 15682, 59614, 116156, 125651, 9174, 68431, 8339, 72342, 67645, 111331, 102404, 37705, 41007, 15682, 17, 104091, 104770, 198, 26948, 72342, 67645, 31431, 123410, 104983, 5486, 105525, 103468, 47043, 16144, 102404, 37705, 41007, 15682, 119448, 47884, 17, 59739, 57903, 33541, 9174, 12, 63091, 17620, 16556, 101862, 109, 68379, 19967, 101275, 30512, 39926, 102404, 37705, 54926, 198, 12, 8339, 16144, 37, 7209, 30512, 107740, 54926, 10110, 26948, 16144, 31640, 23039, 125175, 23954, 119560, 16144, 37, 7209, 107118, 36896, 52591, 33710, 106384, 33710, 73590, 555, 8339, 117503, 105838, 16556, 5486, 112825, 110904, 20230, 95604, 19732, 111476, 12, 8339, 16556, 114421, 103792, 47043, 30512, 26948, 20230, 30926, 112772, 108446, 25446, 39926, 33334, 126145, 47043, 29295, 26130, 17161, 103646, 110018, 5486, 101862, 109, 68379, 55031, 102404, 37705, 103296, 16144, 117120, 22649, 30512, 31640, 23039, 39926, 124089, 125175, 198, 16144, 100909, 38641, 9174, 37271, 18904, 5486, 37, 7209, 123863, 50520, 111, 102800, 50338, 108323, 15682, 111017, 103926, 78434, 29295, 5486, 105994, 16556, 102404, 37705, 19967, 101275, 123410, 126513, 32977, 43514, 85791, 25827, 37, 7209, 30512, 107740, 54926, 107803, 32977, 111476, 47043, 30512, 37705, 30369, 102677, 103188, 39607, 29295, 109215, 115717, 33541, 9174, 110924, 16556, 36896, 32131, 102832, 114615, 104371, 114601, 10646, 29295, 109215, 117282, 103846, 57326, 107805, 102514, 15682, 59614, 101860, 11883, 37689, 103801, 109954, 9174, 74482, 15682, 117119, 32149, 19732, 119526, 71289, 109544, 30512, 80805, 102741, 109713, 17905, 121142, 103470, 5486, 112810, 122483, 103306, 33563, 36651, 39926, 33334, 126145, 102924, 60632, 26854, 115789, 127181, 105879, 33334, 125683, 62004, 38641, 9174, 14711, 8339, 72342, 67645, 31431, 16556, 109215, 26854, 102944, 13177, 102924, 60632, 103223, 64178, 104817, 111329, 33671, 20230, 11883, 37689, 17663, 125231, 102944, 15682, 5486, 72342, 67645, 31431, 59614, 59462, 25446, 16144, 17, 103223, 64178, 198, 12, 45631, 102494, 101335, 44971, 84477, 111329, 12, 45631, 66953, 38248, 111, 65575, 37823, 117697, 38248, 95, 115507, 111329, 38641, 1811, 47260, 47260, 126328, 5486, 103350, 104983, 20230, 106548, 125639, 123410, 110018, 20230, 109215, 109947, 124490, 26854, 102944, 38641, 9174, 827, 220, 20713, 59983, 37087, 72342, 67645, 33503, 11972, 59614, 116156, 103223, 64178, 13177, 102494, 101335, 44971, 84477, 111329, 13177, 102494, 101335, 44971, 84477, 66383, 15682, 5486, 72342, 67645, 31431, 16556, 47043, 30512, 106548, 17701, 104028, 104983, 20230, 110371, 47043, 30512, 106548, 17701, 103468, 33503, 5486, 108056, 19732, 105525, 106824, 5486, 60632, 105576, 125334, 30369, 32149, 11571, 30512, 122225, 54926, 113009, 33655, 30297, 107693, 26854, 102944, 38641, 9174, 72342, 67645, 31431, 107118, 5486, 67645, 103171, 47043, 72661, 106548, 125639, 104984, 126521, 5486, 102677, 102944, 77181, 124897, 9174, 112798, 103892, 72661, 122984, 121256, 29295, 116898, 111201, 126120, 96455, 114652, 198, 104088 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 23538, 117255, 84844, 29295, 103309, 127379, 50834, 123410, 101200, 110276, 33503, 112160, 27479, 9080, 16325, 16144, 104654, 104088, 74245, 39926, 5486, 45829, 67645, 32977, 20230, 13177, 27384, 120111, 117503, 120208, 30512, 21105, 96, 107277, 108044, 107290, 5486, 127408, 26854, 120208, 30512, 108167, 21418, 102532, 122765, 30369, 104466, 39926, 72315, 9174, 102131, 126693, 5486, 103309, 127379, 50834, 119279, 30813, 115464, 32149, 110241, 33121, 107515, 1811, 128001, 128000, 72342, 67645, 31431, 30512, 27704, 109315, 20230, 30591, 28713, 76947, 5486, 102717, 109416, 122617, 120332, 29295, 107740, 54926, 26948, 9174, 37271, 18904, 15682, 5486, 26948, 72342, 67645, 31431, 30512, 27704, 62004, 106956, 17792, 20230, 198, 12, 116195, 244, 104874, 16144, 106548, 24273, 198, 12, 112828, 112772, 11883, 37689, 39926, 33334, 47884, 125231, 102944, 198, 30512, 126362, 78434, 9174, 37271, 55031, 72342, 67645, 31431, 30512, 27704, 109315, 24273, 5486, 72342, 67645, 31431, 85707, 64209, 112919, 24273, 121254, 107441, 15120, 55031, 50338, 108323, 109768, 50834, 33541, 105879, 5486, 51385, 64209, 39926, 98499, 64121, 103130, 107436, 72315, 9174, 32977, 47884, 100204, 198, 12, 220, 16, 8339, 72342, 67645, 31431, 16556, 109215, 26854, 102944, 9458, 107253, 104874, 17663, 125231, 102944, 107118, 95532, 12, 220, 16, 13, 16, 116195, 244, 104874, 17663, 125231, 102944, 16144, 124766, 15682, 47260, 44971, 36785, 198, 12, 220, 16, 13, 17, 8339, 72342, 67645, 31431, 16556, 109215, 26854, 102944, 13177, 101513, 103234, 104817, 111329, 12, 220, 16, 13, 18, 8339, 72342, 67645, 31431, 16556, 109215, 26854, 102944, 13177, 102924, 60632, 103223, 64178, 104817, 111329, 12, 220, 16, 13, 19, 8339, 72342, 67645, 31431, 16556, 109215, 26854, 102944, 13177, 39880, 71493, 65299, 52414, 104817, 111329, 12, 220, 16, 13, 20, 8339, 72342, 67645, 31431, 16556, 109215, 26854, 102944, 118133, 35330, 104817, 111329, 12, 220, 16, 13, 21, 8339, 72342, 67645, 31431, 16556, 109215, 26854, 102944, 13177, 114950, 111329, 12, 220, 17, 220, 123011, 62004, 8339, 72342, 67645, 31431, 16556, 107253, 104874, 54926, 102944, 198, 567, 8339, 72342, 67645, 31431, 16556, 109215, 26854, 102944, 9458, 107253, 104874, 17663, 125231, 102944, 107118, 95532, 72342, 67645, 31431, 15682, 112832, 72661, 95221, 117355, 20230, 27704, 109315, 105908, 125545, 29295, 5486, 32335, 103167, 48249, 107253, 104874, 39926, 33334, 107188, 118145, 16995, 124324, 105908, 57903, 33541, 9174, 72342, 67645, 31431, 107118, 5486, 106548, 17701, 103468, 47043, 30512, 106548, 125639, 112603, 105755, 126574, 105525, 31431, 112603, 16556, 122626, 21105, 251, 16144, 104364, 109518, 29295, 60632, 105576, 108176, 91482, 76428, 102750, 22398, 38641, 9174, 110924, 16556, 5486, 32335, 32977, 107693, 117084, 109749, 104468, 111476, 13177, 16995, 111201, 39926, 5486, 126521, 47043, 30512, 106548, 17701, 104028, 105908, 108608, 32149, 66383, 95604, 100909, 9174, 110382, 16556, 95604, 36896, 126521, 47043, 66383, 15682, 111476, 12, 8339, 16556, 122626, 127564, 36896, 104364, 109518, 10646, 29295, 16556, 30369, 47043, 198, 12, 8339, 16556, 114421, 127564, 36896, 23187, 23538, 112535, 10646, 105525, 104028, 47043, 198, 85701, 33503, 17, 118821, 77195, 30512, 112624, 28713, 17663, 47043, 16144, 100909, 38641, 9174, 28713, 19732, 58942, 5486, 106548, 125639, 112603, 19732, 122626, 121374, 16144, 104364, 29295, 605, 11, 931, 35757, 105693, 103306, 32977, 111476, 105525, 33121, 123207, 5486, 90620, 16144, 109657, 19113, 36785, 15024, 5486, 16, 117816, 1041, 102159, 71689, 105525, 104028, 47043, 103351, 103306, 32977, 5486, 106548, 125639, 112603, 19732, 122626, 121374, 29295, 110176, 24273, 107173, 605, 11, 931, 35757, 103351, 33503, 220, 100066, 9458, 46034, 56965, 16144, 17620, 103378, 109657, 19113, 38641, 9174, 37271, 18904, 15682, 126521, 47043, 16144, 91774, 110993, 62004, 24273, 120950, 57933, 29220, 122842, 9458, 22398, 62903, 114615, 87177, 16144, 112772, 72342, 67645, 31431, 30512, 27704, 109315, 112772, 32335, 103167, 48249, 107253, 104874, 39926, 33334, 47884, 125231, 100909, 109853, 50338, 108323, 78434, 9174, 118789, 109904, 106548, 125639, 24273, 71289, 108948, 125683, 62004, 16144, 106548, 125639, 61826, 108948, 125683, 62004, 16144, 106901, 16073, 33710, 50667, 109853, 15682, 5486, 23226, 107436, 126362, 78434, 9174, 14711, 116195, 244, 104874, 17663, 125231, 102944, 16144, 124766, 15682, 47260, 44971, 36785, 198, 72342, 67645, 31431, 30512, 27704, 109315, 20230, 30591, 28713, 76947, 107253, 104874, 39926, 102717, 102800, 102944, 30512, 17297, 61304, 20230, 123011, 62004, 79721, 9174, 15120, 59739, 101860, 59739, 50338, 108323, 109768, 50834, 33541, 29295, 5486, 126843, 15682, 75694, 104043, 118146, 33035, 39926, 64121, 38144, 72315, 9174, 827, 125528, 103234, 104817, 198, 12, 110138, 102741, 109713, 198, 12, 80050, 68759, 84477, 108526, 16073, 198, 12, 109887, 107805, 102514, 198, 827, 220, 102924, 60632, 103223, 64178, 104817, 198, 12, 116561, 101335, 44971, 84477, 198, 12, 109228, 38248, 111, 65575, 37823, 117697, 38248, 95, 115507, 198, 827, 94632, 71493, 65299, 52414, 104817, 198, 12, 8339, 114421, 11883, 39880, 71493, 65299, 52414, 198, 12, 109332, 33710, 71493, 37823, 16144, 39880, 71493, 65299, 52414, 198, 827, 106369, 35330, 104817, 198, 12, 116381, 44971, 76428, 67075, 123218, 10110, 68408, 91482, 67075, 123218, 32977, 31540, 23954, 12, 220, 106548, 125639, 20230, 33655, 105262, 103087, 35330, 10110, 85707, 23538, 126330, 23954, 827, 123485, 198, 12, 115752, 53953, 33122, 110008, 31540, 110322, 198, 77693, 77181, 110480, 87217, 20230, 50338, 108323, 109768, 50834, 17129, 109954, 9174, 51330, 77219, 15682, 30591, 47884, 17129, 72661, 378, 98, 198, 12, 116564, 55031, 72342, 67645, 31431, 30512, 27704, 62004, 101200, 103306, 107991, 24273, 198, 12, 220, 72342, 67645, 31431, 85707, 64209, 112919, 24273, 198, 30512, 103359, 47523, 20230, 102181, 102532, 61689, 105879, 5486, 17663, 16556, 20230, 107253, 104874, 29295, 106084, 100934, 102944, 29295, 30591, 104984, 98499, 64121, 107850, 81219, 39926, 72315, 9174, 14711, 8339, 72342, 67645, 31431, 16556, 109215, 26854, 102944, 13177, 101513, 103234, 104817, 111329, 126843, 15682, 5486, 26948, 72342, 67645, 31431, 30512, 27704, 109315, 17905, 16556, 124490, 32149, 72342, 100604, 36896, 101513, 103234, 10646, 109853, 50338, 108323, 109768, 50834, 33541, 9174, 827, 220, 20713, 59983, 80805, 102741, 109713, 198, 126843, 15682, 117119, 126130, 102532, 32977, 80805, 102741, 109713, 125651, 9174, 47043, 30512, 37823, 60868, 113335, 54926, 105352, 114421, 54926, 105352, 5486, 102404, 37705, 54926, 105352, 80805, 102741, 109713, 15682, 59614, 116156, 111090, 57933, 91062, 38641, 9174, 59614, 101860, 198, 124773, 123437, 67075, 16144, 30177, 106307, 117501, 15682, 64531, 107290, 33334, 102532, 72315, 101832, 9174, 32977, 43514, 85791, 25827, 124131, 103927, 29295, 30591, 104984, 118823, 105352, 103721, 233, 29295, 30369, 15024, 5486, 124131, 103927, 72661, 108608, 19967, 101275, 32977, 57903, 33541, 9174, 80673, 120953, 120837, 80805, 102741, 109713, 16556, 67016, 118765, 19967, 101275, 32977, 20834, 38144, 50834, 33541, 105879, 5486, 115924, 103359, 20230, 16, 55038, 80805, 102741, 109713, 30512, 107253, 104874, 54926, 104466, 39926, 72315, 9174, 124131, 103927, 16144, 31809, 30813, 26854, 55723, 28190, 16556, 41190, 54926, 16144, 19732, 80805, 102741, 109713, 126636, 112495, 55723, 28190, 16556, 19967, 101275, 54926, 16144, 19732, 77181, 5486, 19967, 101275, 22398, 70563, 65575, 29295, 121819, 105987, 112535, 108010, 61689, 9174, 58426, 39177, 111476, 99849, 95598, 110743, 32977, 54926, 72404, 45736, 118347, 48552, 16144, 80805, 102741, 109713, 30512, 11883, 37689, 54926, 109215, 15682, 124897, 9174, 32977, 43514, 85791, 25827, 5486, 101335, 84477, 80805, 102741, 109713, 72661, 68408, 22398, 110548, 103830, 80805, 102741, 109713, 72661, 106391, 16995, 107515, 15024, 5486, 28176, 72661, 20122, 72661, 27384, 121313, 38641, 9174, 32335, 103167, 48249, 5486, 124773, 123437, 67075, 30512, 109606, 103470, 33655, 30297, 105908, 106084, 104984, 4012, 38641, 9174, 827, 220, 25963, 59983, 124131, 84477, 108526, 16073, 198, 80805, 102741, 109713, 120332, 29295, 126120, 96455, 29295, 126521, 19732, 107471, 104680, 120267, 79721, 29295, 5486, 124131, 84477, 108526, 16073, 32977, 72342, 67645, 31431, 117824, 30297, 17905, 77181, 59614, 116156, 111090, 57933, 91062, 38641, 9174, 80805, 102741, 109713, 19732, 124131, 84477, 108526, 16073, 30512, 127749, 71289, 116245, 20230, 30591, 110027, 38144, 33655, 16995, 17620, 105784, 105908, 27384, 102769, 115717, 33541, 9174, 43514, 26854, 64121, 20230, 5486, 124131, 84477, 108526, 113883, 118347, 48552, 114556, 120837, 66378, 20230, 109823, 15682, 124897, 1811, 45840, 116806, 102860, 42634, 114265, 67645, 112384, 72661, 102971, 106391, 38641, 9174, 37271, 71289, 102717, 19732, 124592, 120332, 29295, 124131, 84477, 108526, 16073, 114792, 107462, 104533, 91763, 61689, 105879, 37271, 16144, 46034, 110794, 16144, 102944, 16556, 114392, 38641, 9174, 17039, 28713, 20230, 13177, 72342, 67645, 31431, 11883, 124131, 103927, 118587, 107691, 30297, 109215, 15682, 37087, 47884, 100604, 105879, 51385, 64209, 39926, 72315, 9174, 51330, 74482, 122984, 78434, 29295, 5486, 103350, 104983, 107898, 72516, 20230, 16995, 76947, 106548, 17701, 104028, 47043, 104088, 23187, 109315, 104983, 102052, 115132, 115507, 124905, 30297, 100909, 108176, 105879, 106116, 39177, 105352, 124131, 103927, 15682, 59614, 116156, 111090, 57933, 91062, 115717, 33541, 9174, 68431, 109145, 101275, 126120, 96455, 33208, 20230, 124131, 103927, 15682, 59614, 116156, 198, 53900, 77693, 116749, 105352, 5486, 124131, 103927, 29295, 30591, 104984, 48915, 20834, 61826, 72661, 19967, 101275, 29295, 106084, 30369, 102677, 100909, 38641, 9174, 72342, 67645, 31431, 30512, 27704, 62004, 101200, 103306, 107991, 24273, 107809, 102052, 5486, 106966, 101275, 103306, 113727, 100934, 24273, 29295, 127181, 106046, 61689, 9174, 102677, 109335, 5486, 103293, 55031, 103309, 103296, 108729, 9554, 102052, 117876, 30512, 103792, 116497, 38641, 9174, 85707, 62004, 16144, 107404, 15682, 5486, 72342, 67645, 112586, 105843, 125655, 82973, 30512, 105184, 33563, 54926, 100909, 37026, 33014, 29295, 111108, 102800, 115789, 101182, 123253, 9174, 107943, 39177, 102052, 5486, 105677, 107063, 102, 82973, 71289, 23039, 50834, 112454, 111331, 101721, 101918, 16144, 82973, 123160, 120065, 56051, 82973, 20230, 198, 12, 96407, 16144, 37823, 60868, 113335, 198, 12, 105729, 114483, 123437, 67075, 113245, 106548, 125639, 10110, 101721, 101171, 111, 72342, 67645, 31431, 23954, 12, 105961, 25446, 19967, 101275, 198, 12, 80071, 237, 16995, 114146, 117271, 198, 104309, 5486, 106084, 30369, 105908, 121771, 98369, 57903, 33541, 9174, 82973, 30512, 19361, 126120, 76706, 11883, 54926, 109335, 19732, 111243, 27384, 102769, 26854, 105879, 30297, 17129, 47884, 33655, 16995, 17620, 76622, 100481, 50834, 17129, 109954, 9174, 827, 220, 34617, 59983, 57326, 107805, 102514, 198, 122485, 127331, 33503, 119432, 24273, 107809, 102052, 5486, 37689, 48915, 19732, 69978, 107462, 100604, 24273, 32977, 127181, 57326, 107805, 102514, 9174, 85701, 32977, 45736, 118347, 48552, 16144, 102944, 15682, 109215, 100604, 105879, 108948, 46034, 119400, 26854, 121374, 16144, 102944, 30512, 16, 55038, 109198, 17701, 39926, 33334, 50834, 17129, 109954, 9174, 103350, 104983, 20230, 47043, 30512, 106548, 17701, 104028, 110018, 71289, 114421, 54926, 110018, 20230, 33655, 30297, 109335, 124897, 119520, 5486, 47043, 30512, 13177, 102404, 37705, 10646, 54926, 110018, 20230, 57326, 107805, 102514, 15682, 59614, 116156, 125651, 9174, 68431, 8339, 72342, 67645, 111331, 102404, 37705, 41007, 15682, 17, 104091, 104770, 198, 26948, 72342, 67645, 31431, 123410, 104983, 5486, 105525, 103468, 47043, 16144, 102404, 37705, 41007, 15682, 119448, 47884, 17, 59739, 57903, 33541, 9174, 12, 63091, 17620, 16556, 101862, 109, 68379, 19967, 101275, 30512, 39926, 102404, 37705, 54926, 198, 12, 8339, 16144, 37, 7209, 30512, 107740, 54926, 10110, 26948, 16144, 31640, 23039, 125175, 23954, 119560, 16144, 37, 7209, 107118, 36896, 52591, 33710, 106384, 33710, 73590, 555, 8339, 117503, 105838, 16556, 5486, 112825, 110904, 20230, 95604, 19732, 111476, 12, 8339, 16556, 114421, 103792, 47043, 30512, 26948, 20230, 30926, 112772, 108446, 25446, 39926, 33334, 126145, 47043, 29295, 26130, 17161, 103646, 110018, 5486, 101862, 109, 68379, 55031, 102404, 37705, 103296, 16144, 117120, 22649, 30512, 31640, 23039, 39926, 124089, 125175, 198, 16144, 100909, 38641, 9174, 37271, 18904, 5486, 37, 7209, 123863, 50520, 111, 102800, 50338, 108323, 15682, 111017, 103926, 78434, 29295, 5486, 105994, 16556, 102404, 37705, 19967, 101275, 123410, 126513, 32977, 43514, 85791, 25827, 37, 7209, 30512, 107740, 54926, 107803, 32977, 111476, 47043, 30512, 37705, 30369, 102677, 103188, 39607, 29295, 109215, 115717, 33541, 9174, 110924, 16556, 36896, 32131, 102832, 114615, 104371, 114601, 10646, 29295, 109215, 117282, 103846, 57326, 107805, 102514, 15682, 59614, 101860, 11883, 37689, 103801, 109954, 9174, 74482, 15682, 117119, 32149, 19732, 119526, 71289, 109544, 30512, 80805, 102741, 109713, 17905, 121142, 103470, 5486, 112810, 122483, 103306, 33563, 36651, 39926, 33334, 126145, 102924, 60632, 26854, 115789, 127181, 105879, 33334, 125683, 62004, 38641, 9174, 14711, 8339, 72342, 67645, 31431, 16556, 109215, 26854, 102944, 13177, 102924, 60632, 103223, 64178, 104817, 111329, 33671, 20230, 11883, 37689, 17663, 125231, 102944, 15682, 5486, 72342, 67645, 31431, 59614, 59462, 25446, 16144, 17, 103223, 64178, 198, 12, 45631, 102494, 101335, 44971, 84477, 111329, 12, 45631, 66953, 38248, 111, 65575, 37823, 117697, 38248, 95, 115507, 111329, 38641, 1811, 47260, 47260, 126328, 5486, 103350, 104983, 20230, 106548, 125639, 123410, 110018, 20230, 109215, 109947, 124490, 26854, 102944, 38641, 9174, 827, 220, 20713, 59983, 37087, 72342, 67645, 33503, 11972, 59614, 116156, 103223, 64178, 13177, 102494, 101335, 44971, 84477, 111329, 13177, 102494, 101335, 44971, 84477, 66383, 15682, 5486, 72342, 67645, 31431, 16556, 47043, 30512, 106548, 17701, 104028, 104983, 20230, 110371, 47043, 30512, 106548, 17701, 103468, 33503, 5486, 108056, 19732, 105525, 106824, 5486, 60632, 105576, 125334, 30369, 32149, 11571, 30512, 122225, 54926, 113009, 33655, 30297, 107693, 26854, 102944, 38641, 9174, 72342, 67645, 31431, 107118, 5486, 67645, 103171, 47043, 72661, 106548, 125639, 104984, 126521, 5486, 102677, 102944, 77181, 124897, 9174, 112798, 103892, 72661, 122984, 121256, 29295, 116898, 111201, 126120, 96455, 114652, 198, 104088 ]
[ 59739, 105784, 105908, 106084, 30369, 32149, 5486, 29295, 107693, 38641, 9174, 80539, 106116, 105525, 104028, 47043, 104088, 110993, 109315, 113009, 33655, 30297, 103223, 64178, 29295, 198, 13177, 102494, 101335, 44971, 84477, 10646, 38641, 9174, 102494, 101335, 44971, 84477, 15682, 116898, 78183, 106644, 30369, 19361, 42506, 33122, 103234, 111769, 112832, 72661, 33655, 105262, 111234, 52884, 116229, 38641, 9174, 121846, 5232, 102494, 101335, 44971, 84477, 5232, 26948, 16144, 47043, 93488, 119557, 9458, 121374, 84851, 60634, 9458, 121374, 125261, 16144, 108134, 116229, 198, 102494, 101335, 44971, 84477, 16144, 33655, 16995, 24273, 5486, 98499, 64121, 50338, 50834, 24273, 15682, 103283, 16144, 77219, 16556, 50520, 111, 106624, 50338, 108323, 119607, 106046, 61689, 9174, 102494, 101335, 44971, 84477, 104987, 105838, 127105, 5486, 72342, 67645, 31431, 19653, 111363, 103983, 105564, 115717, 33541, 9174, 37271, 74482, 99849, 32307, 18904, 19732, 64121, 30369, 100909, 115717, 33541, 105879, 52884, 48552, 68759, 105048, 20230, 47585, 39926, 33334, 50834, 17129, 109954, 9174, 827, 220, 25963, 59983, 66953, 38248, 111, 65575, 37823, 117697, 38248, 95, 115507, 198, 66953, 38248, 111, 65575, 37823, 117697, 38248, 95, 115507, 107118, 5486, 120613, 16144, 121640, 66953, 38248, 111, 65575, 30512, 98499, 64121, 18655, 30369, 124122, 39880, 115507, 119627, 115847, 124905, 116285, 61826, 39607, 126362, 56051, 13177, 102494, 101335, 44971, 84477, 118587, 33655, 100472, 198, 47043, 16144, 111800, 52084, 22398, 70563, 65575, 29295, 44559, 223, 108010, 119178, 103856, 115737, 31431, 33541, 9174, 102494, 101335, 44971, 84477, 16556, 47043, 30512, 111800, 52084, 54926, 110018, 106116, 47043, 13372, 71289, 25287, 87217, 104309, 30512, 76537, 43514, 104526, 104127, 111800, 52084, 54926, 16144, 119627, 110371, 66953, 38248, 111, 65575, 37823, 117697, 11972, 30813, 58942, 30591, 104984, 5486, 107943, 17701, 48634, 16144, 46034, 56965, 15682, 108270, 42634, 9174, 47043, 16144, 66953, 38248, 111, 65575, 30512, 70563, 26269, 19732, 98499, 64121, 104526, 104004, 121142, 5486, 102494, 101335, 44971, 84477, 16144, 119526, 30512, 105324, 102802, 121406, 105908, 106084, 30369, 102677, 104622, 33121, 102944, 105321, 38641, 9174, 51330, 39880, 115507, 124905, 116285, 5486, 72516, 103892, 20230, 105360, 126559, 47043, 30512, 124475, 18655, 76947, 66953, 38248, 111, 65575, 30512, 70563, 26269, 117408, 121142, 111476, 13177, 104364, 109518, 16144, 20834, 30369, 5486, 105525, 104028, 126521, 47043, 10646, 26854, 104865, 122225, 108608, 102677, 113334, 38641, 9174, 827, 107289, 22398, 22398, 39850, 39880, 115507, 19, 102647, 198, 16995, 47884, 59739, 32149, 66953, 38248, 111, 65575, 37823, 117697, 38248, 95, 115507, 115991, 33541, 29295, 115515, 18904, 15682, 16325, 72661, 33334, 125683, 62004, 16144, 102944, 30512, 19, 59739, 126362, 78434, 9174, 37087, 38144, 92693, 16144, 39880, 115507, 38641, 105879, 5486, 51385, 64209, 39926, 72315, 9174, 108729, 112535, 67645, 16144, 39880, 115507, 32977, 113173, 71289, 33655, 16995, 24273, 20230, 27384, 104364, 15682, 124897, 105879, 112160, 107963, 20230, 67645, 16144, 39880, 115507, 29295, 102832, 71634, 36785, 107118, 120267, 50834, 33121, 107515, 1811, 103350, 104983, 20230, 33655, 76947, 64121, 38144, 108149, 112568, 29295, 15120, 87217, 21105, 96, 47884, 31431, 37507, 30369, 39880, 115507, 30512, 102647, 104369, 112973, 102832, 71634, 38641, 9174, 68431, 220, 118075, 72342, 67645, 31431, 17663, 19732, 198, 33334, 27929, 124749, 66953, 38248, 111, 65575, 37823, 117697, 38248, 95, 115507, 107809, 16556, 5486, 32335, 32977, 53283, 13372, 27479, 16144, 126574, 39880, 115507, 29295, 13177, 72342, 67645, 31431, 17663, 19732, 10646, 38641, 9174, 66953, 38248, 111, 65575, 112649, 75694, 72342, 81219, 112160, 112661, 16556, 58426, 47043, 16144, 102494, 101335, 44971, 84477, 113245, 111800, 52084, 113702, 29295, 52563, 108608, 102924, 60632, 103223, 64178, 38641, 9174, 12, 49854, 122, 106608, 101513, 104091, 5232, 45840, 116771, 198, 12, 32386, 247, 35330, 5232, 92693, 84499, 19361, 42506, 41401, 13177, 72342, 67645, 31431, 17663, 19732, 118192, 101198, 39880, 91062, 10646, 57903, 198, 12, 105729, 16073, 71634, 39880, 121159, 5232, 117271, 109947, 84499, 13177, 72342, 67645, 31431, 17663, 19732, 118192, 101198, 39880, 91062, 10646, 15682, 117271, 31540, 198, 68431, 84499, 19361, 42506, 41401, 13177, 72342, 67645, 31431, 17663, 19732, 118192, 101198, 39880, 91062, 111329, 72342, 67645, 31431, 17663, 110792, 17905, 25129, 106483, 109033, 26854, 105879, 5486, 30813, 17663, 29295, 62004, 104702, 47884, 104702, 33655, 114774, 17663, 16995, 38641, 9174, 33655, 105262, 121432, 32977, 107188, 31431, 115079, 105262, 16144, 119627, 108149, 47884, 17129, 72661, 198, 19361, 42506, 41401, 9953, 109518, 20, 11, 3443, 35757, 32149, 107277, 33541, 9174, 85707, 62004, 15682, 92693, 41401, 72661, 114392, 33655, 105262, 105879, 5486, 105525, 115442, 114392, 115442, 76947, 50834, 38144, 35330, 103842, 255, 109904, 89783, 116664, 29295, 106084, 28713, 110018, 20230, 78698, 105262, 113314, 16556, 109606, 124897, 9174, 68431, 220, 119560, 72342, 67645, 85791, 16995, 67645, 198, 117896, 32977, 33334, 125683, 62004, 39880, 115507, 112028, 59739, 66327, 72342, 67645, 85791, 16995, 67645, 10646, 15682, 5486, 101860, 81219, 31431, 39880, 102860, 42634, 114265, 16556, 67016, 33655, 58942, 107515, 9174, 61826, 108680, 126362, 56051, 13177, 72342, 67645, 31431, 17663, 19732, 117503, 39880, 102860, 42634, 114265, 41401, 36785, 106046, 76947, 72315, 9174, 12, 49854, 122, 106608, 101513, 104091, 5232, 39880, 102860, 42634, 114265, 116771, 198, 12, 32386, 247, 35330, 5232, 92693, 198, 12, 105729, 16073, 71634, 39880, 121159, 5232, 117271, 109947, 198, 68431, 220, 126892, 39880, 68759, 121159, 198, 18, 59739, 30832, 15682, 36896, 39880, 68759, 121159, 10646, 38641, 9174, 39880, 68759, 121159, 16144, 66378, 17599, 112, 15682, 119448, 47884, 18, 59739, 9174, 12, 105729, 16073, 71634, 39880, 121159, 113115, 106608, 198, 12, 107748, 109554, 29295, 72718, 50834, 20230, 47884, 16995, 198, 12, 12443, 116806, 102860, 42634, 114265, 113115, 106608, 198, 64780, 76171, 71634, 39880, 121159, 107118, 5232, 66953, 38248, 111, 65575, 107118, 108010, 30297, 5486, 72516, 106063, 37026, 16556, 47043, 30512, 40452, 54926, 103846, 126268, 100934, 121159, 16144, 118733, 5486, 10155, 1406, 3097, 32, 71289, 52884, 48552, 90962, 52591, 5486, 105621, 90962, 50667, 16556, 91774, 126929, 33541, 9174, 12, 49854, 122, 106608, 101513, 104091, 5232, 45840, 116806, 102860, 42634, 114265, 198, 12, 105729, 16073, 71634, 39880, 121159, 5232, 117271, 198, 68431, 220, 49412, 96, 26948, 102895, 26269, 70563, 94550, 39880, 115507, 198, 16906, 111, 28741, 20230, 95604, 19732, 5486, 66953, 38248, 111, 65575, 37823, 117697, 38248, 95, 115507, 77181, 124897, 29295, 5486, 119695, 16144, 26948, 16144, 39880, 115507, 105352, 5486, 47043, 111800, 52084, 121432, 29295, 59739, 102532, 61689, 9174, 51330, 39880, 115507, 16144, 126521, 28542, 15682, 111476, 13177, 47043, 37026, 33014, 118587, 104736, 109375, 108608, 32938, 38641, 9174, 66953, 38248, 111, 65575, 126194, 5486, 47043, 37087, 33014, 30512, 71493, 127194, 16556, 15017, 231, 105262, 121142, 104736, 109375, 15024, 5486, 47043, 30512, 111800, 52084, 39926, 124089, 16144, 38641, 9174, 68431, 121655, 15024, 102944, 126101, 107734, 118013, 33541, 198, 72516, 124750, 16556, 72342, 67645, 31431, 30512, 109768, 104533, 111476, 66953, 38248, 111, 65575, 29295, 47000, 16995, 126386, 47043, 29295, 28713, 17129, 117158, 38144, 50834, 33541, 1811, 47260, 44971, 118816, 5486, 119869, 20230, 126362, 56051, 18, 118821, 39880, 115507, 77181, 111800, 52084, 103082, 107515, 9174, 107943, 110241, 102944, 39177, 102052, 5486, 47043, 58426, 102944, 30512, 104736, 109375, 39926, 111800, 52084, 108608, 26948, 102895, 26269, 70563, 94550, 39880, 115507, 29295, 102924, 60632, 38641, 9174, 14711, 8339, 72342, 67645, 31431, 16556, 109215, 26854, 102944, 13177, 39880, 71493, 65299, 52414, 104817, 111329, 33671, 15682, 5486, 36668, 20230, 106548, 17701, 103468, 47043, 30512, 114421, 54926, 104983, 20230, 109215, 26854, 107253, 104874, 38641, 9174, 37271, 18904, 15682, 5486, 26948, 72342, 67645, 111331, 71289, 31431, 24273, 16144, 126362, 119627, 5486, 32307, 29295, 15120, 16144, 126465, 20230, 104874, 107290, 39850, 33710, 71493, 37823, 16144, 126362, 32977, 112825, 110904, 120650, 61689, 105879, 5486, 121846, 116446, 72315, 9174, 827, 220, 20713, 59983, 26948, 114421, 11883, 39880, 71493, 65299, 52414, 16144, 19967, 13153, 198, 26948, 72342, 67645, 31431, 38641, 16144, 72661, 43514, 85791, 25827, 39880, 68759, 118091, 113883, 39880, 71493, 65299, 52414, 29295, 109215, 38641, 9174, 51330, 39880, 71493, 65299, 52414, 125104, 15682, 5486, 109198, 17701, 54926, 103378, 124911, 107118, 108901, 109020, 198, 13177, 122646, 39880, 71493, 65299, 52414, 10646, 125104, 29295, 109215, 115717, 33541, 9174, 68431, 105961, 25446, 30046, 11883, 39880, 71493, 65299, 52414, 125104, 198, 39880, 71493, 65299, 52414, 19967, 13153, 20230, 5486, 17701, 48634, 54926, 111831, 15682, 17297, 61304, 16144, 121640, 38641, 9174, 12, 80721, 227, 101987, 32938, 14, 118482, 32938, 16144, 29504, 198, 12, 108519, 29430, 31091, 14, 122626, 101275, 30046, 13372, 198, 12, 96622, 245, 124750, 13372, 198, 12, 118942, 32938, 198, 12, 110147, 87177, 122532, 198, 12, 116381, 44971, 76428, 67075, 123218, 108134, 198, 12, 96407, 108134, 10110, 22398, 62903, 103830, 125545, 23954, 12, 96407, 116731, 103621, 102540, 10110, 22398, 62903, 103830, 125545, 23954, 68431, 126075, 31634, 102181, 104770, 16144, 118664, 198, 13177, 122646, 103826, 16144, 26948, 6973, 33328, 16144, 122646, 11883, 39880, 71493, 65299, 52414, 30512, 114140, 126020, 33541, 66383, 95604, 39850, 64178, 29295, 109948, 47884, 105879, 5486, 116974, 61826, 55031, 109215, 102181, 104770, 30512, 122060, 54926, 109215, 115991, 33541, 9174, 12, 103774, 70821, 926, 7, 96356, 17620, 110322, 31958, 102181, 8, 16144, 110322, 31958, 102181, 104770, 20713, 34048, 198, 12, 124934, 222, 23039, 18655, 73686, 61826, 31958, 104398, 102181, 20713, 34048, 198, 68431, 124934, 222, 23039, 40526, 103605, 16144, 125104, 198, 114626, 20230, 5486, 115191, 40526, 103605, 108134, 30512, 125104, 126693, 47406, 35287, 38641, 9174, 26948, 16556, 47043, 29295, 105525, 103468, 107803, 5486, 105525, 115442, 123927, 104526, 17129, 104028, 40526, 103605, 38641, 9174, 125104, 54926, 40526, 103605, 15682, 111476, 103572, 38574, 16144, 104654, 16556, 33655, 103836, 40526, 103605, 107118, 103283, 16144, 103082, 104984, 13177, 72342, 67645, 31431, 114363, 11883, 117503, 40526, 103605, 125523, 102332, 54926, 112973, 33334, 125683, 62004, 38641, 9174, 37271, 74482, 105525, 31431, 109415, 71289, 103087, 35330, 40452, 123410, 104983, 20230, 106116, 24273, 29295, 121819, 105987, 112535, 102924, 60632, 38641, 9174, 12, 105961, 25446, 30046, 11883, 39880, 71493, 65299, 52414, 20230, 77750, 76171, 56051, 127749, 16556, 198, 12, 27951, 111, 17905, 16144, 13177, 116700, 10646, 20230, 71493, 38248, 121, 33710, 114792, 107462, 47884, 198, 12, 45631, 122646, 39880, 71493, 65299, 52414, 108134, 118587, 107167, 48552, 198, 12, 45631, 115191, 40526, 103605, 108134, 118587, 107167, 48552, 198, 12, 126075, 31634, 30926, 105904, 30512, 17701, 48634, 15024, 5486, 47406, 35287, 198, 68431, 45631, 27384, 40526, 114421, 66383, 13177, 31809, 40526, 114421, 10646, 15682, 67645, 120240, 29295, 104712, 95532, 26948, 16144, 114421, 11883, 39880, 71493, 65299, 52414, 15682, 36896, 27384, 40526, 114421, 66383, 13177, 31809, 40526, 114421, 66383, 95604, 17, 104091, 104770, 16144, 120273, 103664, 83799, 107328, 115991, 5486, 102647, 103854, 30369, 101200, 117084, 61689, 9174, 68431, 45631, 27384, 40526, 114421, 117503, 66378, 17599, 112, 198, 12, 102240, 109518, 19, 11, 7467, 35757, 32149, 117295, 198, 12, 107289, 37823, 76428, 115307, 47043, 32977, 114421, 108608, 198, 12, 105961, 25446, 9039, 9458, 116731, 103621, 102540, 29295, 43568, 44416, 48249, 198, 12, 220, 123011, 107436, 114421, 125104, 108608, 198, 12, 110045, 108337, 106596, 44971, 121057, 29295, 33655, 105262, 198, 12, 107531, 17792, 70141, 76622, 122626, 121432, 29295, 33655, 105262, 198, 68431, 45631, 31809, 40526, 114421, 117503, 66378, 17599, 112, 198, 12, 102240, 109518, 42506, 35330, 92693, 198, 12, 96407, 29295, 16, 14558, 105525, 104028, 27479, 20230, 5486, 1041, 35757, 16144, 108729, 13153, 103664, 42506, 29295, 32149, 117295, 198, 12, 8339, 17905, 20230, 110577, 117083, 47043, 116771, 114421, 108608, 198, 12, 96407, 114421, 15682, 16, 47043, 101860, 59739, 125104, 109215, 198, 39880, 68759, 118091, 113883, 116229, 105352, 110176, 112919, 125261, 29295, 126362, 116216, 61689, 9174, 121846, 5232, 27384, 40526, 114421, 19732, 31809, 40526, 114421, 16144, 121953, 198, 68431, 220, 49412, 97, 33334, 125683, 62004, 15682, 13177, 27384, 40526, 114421, 111329, 39135, 104680, 26854, 121953, 115991, 33541, 29295, 5486, 112418, 15682, 13177, 198, 27384, 40526, 114421, 10646, 55031, 27704, 109315, 112973, 33334, 125683, 62004, 38641, 9174, 28713, 67016, 20230, 5486, 9953, 109518, 42506, 35330, 15682, 32149, 107277, 33541, 29295, 111476, 16, 72516, 40265, 115926, 1041, 35757, 16144, 46034, 9039, 42506, 29295, 32149, 117295, 102677, 109335, 5486, 115303, 9953, 20230, 1135, 28542, 105525, 33121, 104984, 5486, 46034, 9039, 42506, 16144, 122282, 103378, 72661, 27384, 40526, 120332, 119279, 50928, 115717, 33541, 15024, 110745, 40526, 114421, 120332, 29295, 47043, 16144, 114622, 113096, 8239, 114503, 29295, 45736, 115737, 31431, 5486, 105525, 33121, 126172, 16995, 9174, 47260, 71634, 80805, 108526, 108941, 107446, 30512, 113727, 104533, 5486, 121819, 105987, 112535, 27384, 40526, 119279, 125683, 62004, 38641, 9174, 119627, 116898, 112495, 31431, 9953, 20230, 19, 11, 7467, 35757, 30512, 124237, 30297, 120266, 116875, 108324, 107407, 17792, 32977, 16995, 104533, 91763, 61689, 105879, 5486, 119869, 15682, 13177, 31809, 40526, 114421, 10646, 55031, 27704, 109315, 123017, 109606, 124897, 9174, 105525, 115442, 115442, 76947, 47884, 104984, 13177, 31809, 40526, 10646, 52118, 13177, 27384, 40526, 10646, 20230, 122489, 126693, 119010, 122808, 38641, 9174, 90620, 115847, 55031, 72342, 67645, 31431, 16556, 22656, 95221, 16556, 24615, 120, 117201, 16995, 108895, 106609, 19732, 113727, 100934, 105110, 5486, 9953, 1135, 28542, 114016, 126954, 28542, 20230, 103188, 105557, 107515, 105879, 27384, 40526, 114421, 55031, 27704, 109315, 106592, 33334, 125683, 62004, 78434 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 59739, 105784, 105908, 106084, 30369, 32149, 5486, 29295, 107693, 38641, 9174, 80539, 106116, 105525, 104028, 47043, 104088, 110993, 109315, 113009, 33655, 30297, 103223, 64178, 29295, 198, 13177, 102494, 101335, 44971, 84477, 10646, 38641, 9174, 102494, 101335, 44971, 84477, 15682, 116898, 78183, 106644, 30369, 19361, 42506, 33122, 103234, 111769, 112832, 72661, 33655, 105262, 111234, 52884, 116229, 38641, 9174, 121846, 5232, 102494, 101335, 44971, 84477, 5232, 26948, 16144, 47043, 93488, 119557, 9458, 121374, 84851, 60634, 9458, 121374, 125261, 16144, 108134, 116229, 198, 102494, 101335, 44971, 84477, 16144, 33655, 16995, 24273, 5486, 98499, 64121, 50338, 50834, 24273, 15682, 103283, 16144, 77219, 16556, 50520, 111, 106624, 50338, 108323, 119607, 106046, 61689, 9174, 102494, 101335, 44971, 84477, 104987, 105838, 127105, 5486, 72342, 67645, 31431, 19653, 111363, 103983, 105564, 115717, 33541, 9174, 37271, 74482, 99849, 32307, 18904, 19732, 64121, 30369, 100909, 115717, 33541, 105879, 52884, 48552, 68759, 105048, 20230, 47585, 39926, 33334, 50834, 17129, 109954, 9174, 827, 220, 25963, 59983, 66953, 38248, 111, 65575, 37823, 117697, 38248, 95, 115507, 198, 66953, 38248, 111, 65575, 37823, 117697, 38248, 95, 115507, 107118, 5486, 120613, 16144, 121640, 66953, 38248, 111, 65575, 30512, 98499, 64121, 18655, 30369, 124122, 39880, 115507, 119627, 115847, 124905, 116285, 61826, 39607, 126362, 56051, 13177, 102494, 101335, 44971, 84477, 118587, 33655, 100472, 198, 47043, 16144, 111800, 52084, 22398, 70563, 65575, 29295, 44559, 223, 108010, 119178, 103856, 115737, 31431, 33541, 9174, 102494, 101335, 44971, 84477, 16556, 47043, 30512, 111800, 52084, 54926, 110018, 106116, 47043, 13372, 71289, 25287, 87217, 104309, 30512, 76537, 43514, 104526, 104127, 111800, 52084, 54926, 16144, 119627, 110371, 66953, 38248, 111, 65575, 37823, 117697, 11972, 30813, 58942, 30591, 104984, 5486, 107943, 17701, 48634, 16144, 46034, 56965, 15682, 108270, 42634, 9174, 47043, 16144, 66953, 38248, 111, 65575, 30512, 70563, 26269, 19732, 98499, 64121, 104526, 104004, 121142, 5486, 102494, 101335, 44971, 84477, 16144, 119526, 30512, 105324, 102802, 121406, 105908, 106084, 30369, 102677, 104622, 33121, 102944, 105321, 38641, 9174, 51330, 39880, 115507, 124905, 116285, 5486, 72516, 103892, 20230, 105360, 126559, 47043, 30512, 124475, 18655, 76947, 66953, 38248, 111, 65575, 30512, 70563, 26269, 117408, 121142, 111476, 13177, 104364, 109518, 16144, 20834, 30369, 5486, 105525, 104028, 126521, 47043, 10646, 26854, 104865, 122225, 108608, 102677, 113334, 38641, 9174, 827, 107289, 22398, 22398, 39850, 39880, 115507, 19, 102647, 198, 16995, 47884, 59739, 32149, 66953, 38248, 111, 65575, 37823, 117697, 38248, 95, 115507, 115991, 33541, 29295, 115515, 18904, 15682, 16325, 72661, 33334, 125683, 62004, 16144, 102944, 30512, 19, 59739, 126362, 78434, 9174, 37087, 38144, 92693, 16144, 39880, 115507, 38641, 105879, 5486, 51385, 64209, 39926, 72315, 9174, 108729, 112535, 67645, 16144, 39880, 115507, 32977, 113173, 71289, 33655, 16995, 24273, 20230, 27384, 104364, 15682, 124897, 105879, 112160, 107963, 20230, 67645, 16144, 39880, 115507, 29295, 102832, 71634, 36785, 107118, 120267, 50834, 33121, 107515, 1811, 103350, 104983, 20230, 33655, 76947, 64121, 38144, 108149, 112568, 29295, 15120, 87217, 21105, 96, 47884, 31431, 37507, 30369, 39880, 115507, 30512, 102647, 104369, 112973, 102832, 71634, 38641, 9174, 68431, 220, 118075, 72342, 67645, 31431, 17663, 19732, 198, 33334, 27929, 124749, 66953, 38248, 111, 65575, 37823, 117697, 38248, 95, 115507, 107809, 16556, 5486, 32335, 32977, 53283, 13372, 27479, 16144, 126574, 39880, 115507, 29295, 13177, 72342, 67645, 31431, 17663, 19732, 10646, 38641, 9174, 66953, 38248, 111, 65575, 112649, 75694, 72342, 81219, 112160, 112661, 16556, 58426, 47043, 16144, 102494, 101335, 44971, 84477, 113245, 111800, 52084, 113702, 29295, 52563, 108608, 102924, 60632, 103223, 64178, 38641, 9174, 12, 49854, 122, 106608, 101513, 104091, 5232, 45840, 116771, 198, 12, 32386, 247, 35330, 5232, 92693, 84499, 19361, 42506, 41401, 13177, 72342, 67645, 31431, 17663, 19732, 118192, 101198, 39880, 91062, 10646, 57903, 198, 12, 105729, 16073, 71634, 39880, 121159, 5232, 117271, 109947, 84499, 13177, 72342, 67645, 31431, 17663, 19732, 118192, 101198, 39880, 91062, 10646, 15682, 117271, 31540, 198, 68431, 84499, 19361, 42506, 41401, 13177, 72342, 67645, 31431, 17663, 19732, 118192, 101198, 39880, 91062, 111329, 72342, 67645, 31431, 17663, 110792, 17905, 25129, 106483, 109033, 26854, 105879, 5486, 30813, 17663, 29295, 62004, 104702, 47884, 104702, 33655, 114774, 17663, 16995, 38641, 9174, 33655, 105262, 121432, 32977, 107188, 31431, 115079, 105262, 16144, 119627, 108149, 47884, 17129, 72661, 198, 19361, 42506, 41401, 9953, 109518, 20, 11, 3443, 35757, 32149, 107277, 33541, 9174, 85707, 62004, 15682, 92693, 41401, 72661, 114392, 33655, 105262, 105879, 5486, 105525, 115442, 114392, 115442, 76947, 50834, 38144, 35330, 103842, 255, 109904, 89783, 116664, 29295, 106084, 28713, 110018, 20230, 78698, 105262, 113314, 16556, 109606, 124897, 9174, 68431, 220, 119560, 72342, 67645, 85791, 16995, 67645, 198, 117896, 32977, 33334, 125683, 62004, 39880, 115507, 112028, 59739, 66327, 72342, 67645, 85791, 16995, 67645, 10646, 15682, 5486, 101860, 81219, 31431, 39880, 102860, 42634, 114265, 16556, 67016, 33655, 58942, 107515, 9174, 61826, 108680, 126362, 56051, 13177, 72342, 67645, 31431, 17663, 19732, 117503, 39880, 102860, 42634, 114265, 41401, 36785, 106046, 76947, 72315, 9174, 12, 49854, 122, 106608, 101513, 104091, 5232, 39880, 102860, 42634, 114265, 116771, 198, 12, 32386, 247, 35330, 5232, 92693, 198, 12, 105729, 16073, 71634, 39880, 121159, 5232, 117271, 109947, 198, 68431, 220, 126892, 39880, 68759, 121159, 198, 18, 59739, 30832, 15682, 36896, 39880, 68759, 121159, 10646, 38641, 9174, 39880, 68759, 121159, 16144, 66378, 17599, 112, 15682, 119448, 47884, 18, 59739, 9174, 12, 105729, 16073, 71634, 39880, 121159, 113115, 106608, 198, 12, 107748, 109554, 29295, 72718, 50834, 20230, 47884, 16995, 198, 12, 12443, 116806, 102860, 42634, 114265, 113115, 106608, 198, 64780, 76171, 71634, 39880, 121159, 107118, 5232, 66953, 38248, 111, 65575, 107118, 108010, 30297, 5486, 72516, 106063, 37026, 16556, 47043, 30512, 40452, 54926, 103846, 126268, 100934, 121159, 16144, 118733, 5486, 10155, 1406, 3097, 32, 71289, 52884, 48552, 90962, 52591, 5486, 105621, 90962, 50667, 16556, 91774, 126929, 33541, 9174, 12, 49854, 122, 106608, 101513, 104091, 5232, 45840, 116806, 102860, 42634, 114265, 198, 12, 105729, 16073, 71634, 39880, 121159, 5232, 117271, 198, 68431, 220, 49412, 96, 26948, 102895, 26269, 70563, 94550, 39880, 115507, 198, 16906, 111, 28741, 20230, 95604, 19732, 5486, 66953, 38248, 111, 65575, 37823, 117697, 38248, 95, 115507, 77181, 124897, 29295, 5486, 119695, 16144, 26948, 16144, 39880, 115507, 105352, 5486, 47043, 111800, 52084, 121432, 29295, 59739, 102532, 61689, 9174, 51330, 39880, 115507, 16144, 126521, 28542, 15682, 111476, 13177, 47043, 37026, 33014, 118587, 104736, 109375, 108608, 32938, 38641, 9174, 66953, 38248, 111, 65575, 126194, 5486, 47043, 37087, 33014, 30512, 71493, 127194, 16556, 15017, 231, 105262, 121142, 104736, 109375, 15024, 5486, 47043, 30512, 111800, 52084, 39926, 124089, 16144, 38641, 9174, 68431, 121655, 15024, 102944, 126101, 107734, 118013, 33541, 198, 72516, 124750, 16556, 72342, 67645, 31431, 30512, 109768, 104533, 111476, 66953, 38248, 111, 65575, 29295, 47000, 16995, 126386, 47043, 29295, 28713, 17129, 117158, 38144, 50834, 33541, 1811, 47260, 44971, 118816, 5486, 119869, 20230, 126362, 56051, 18, 118821, 39880, 115507, 77181, 111800, 52084, 103082, 107515, 9174, 107943, 110241, 102944, 39177, 102052, 5486, 47043, 58426, 102944, 30512, 104736, 109375, 39926, 111800, 52084, 108608, 26948, 102895, 26269, 70563, 94550, 39880, 115507, 29295, 102924, 60632, 38641, 9174, 14711, 8339, 72342, 67645, 31431, 16556, 109215, 26854, 102944, 13177, 39880, 71493, 65299, 52414, 104817, 111329, 33671, 15682, 5486, 36668, 20230, 106548, 17701, 103468, 47043, 30512, 114421, 54926, 104983, 20230, 109215, 26854, 107253, 104874, 38641, 9174, 37271, 18904, 15682, 5486, 26948, 72342, 67645, 111331, 71289, 31431, 24273, 16144, 126362, 119627, 5486, 32307, 29295, 15120, 16144, 126465, 20230, 104874, 107290, 39850, 33710, 71493, 37823, 16144, 126362, 32977, 112825, 110904, 120650, 61689, 105879, 5486, 121846, 116446, 72315, 9174, 827, 220, 20713, 59983, 26948, 114421, 11883, 39880, 71493, 65299, 52414, 16144, 19967, 13153, 198, 26948, 72342, 67645, 31431, 38641, 16144, 72661, 43514, 85791, 25827, 39880, 68759, 118091, 113883, 39880, 71493, 65299, 52414, 29295, 109215, 38641, 9174, 51330, 39880, 71493, 65299, 52414, 125104, 15682, 5486, 109198, 17701, 54926, 103378, 124911, 107118, 108901, 109020, 198, 13177, 122646, 39880, 71493, 65299, 52414, 10646, 125104, 29295, 109215, 115717, 33541, 9174, 68431, 105961, 25446, 30046, 11883, 39880, 71493, 65299, 52414, 125104, 198, 39880, 71493, 65299, 52414, 19967, 13153, 20230, 5486, 17701, 48634, 54926, 111831, 15682, 17297, 61304, 16144, 121640, 38641, 9174, 12, 80721, 227, 101987, 32938, 14, 118482, 32938, 16144, 29504, 198, 12, 108519, 29430, 31091, 14, 122626, 101275, 30046, 13372, 198, 12, 96622, 245, 124750, 13372, 198, 12, 118942, 32938, 198, 12, 110147, 87177, 122532, 198, 12, 116381, 44971, 76428, 67075, 123218, 108134, 198, 12, 96407, 108134, 10110, 22398, 62903, 103830, 125545, 23954, 12, 96407, 116731, 103621, 102540, 10110, 22398, 62903, 103830, 125545, 23954, 68431, 126075, 31634, 102181, 104770, 16144, 118664, 198, 13177, 122646, 103826, 16144, 26948, 6973, 33328, 16144, 122646, 11883, 39880, 71493, 65299, 52414, 30512, 114140, 126020, 33541, 66383, 95604, 39850, 64178, 29295, 109948, 47884, 105879, 5486, 116974, 61826, 55031, 109215, 102181, 104770, 30512, 122060, 54926, 109215, 115991, 33541, 9174, 12, 103774, 70821, 926, 7, 96356, 17620, 110322, 31958, 102181, 8, 16144, 110322, 31958, 102181, 104770, 20713, 34048, 198, 12, 124934, 222, 23039, 18655, 73686, 61826, 31958, 104398, 102181, 20713, 34048, 198, 68431, 124934, 222, 23039, 40526, 103605, 16144, 125104, 198, 114626, 20230, 5486, 115191, 40526, 103605, 108134, 30512, 125104, 126693, 47406, 35287, 38641, 9174, 26948, 16556, 47043, 29295, 105525, 103468, 107803, 5486, 105525, 115442, 123927, 104526, 17129, 104028, 40526, 103605, 38641, 9174, 125104, 54926, 40526, 103605, 15682, 111476, 103572, 38574, 16144, 104654, 16556, 33655, 103836, 40526, 103605, 107118, 103283, 16144, 103082, 104984, 13177, 72342, 67645, 31431, 114363, 11883, 117503, 40526, 103605, 125523, 102332, 54926, 112973, 33334, 125683, 62004, 38641, 9174, 37271, 74482, 105525, 31431, 109415, 71289, 103087, 35330, 40452, 123410, 104983, 20230, 106116, 24273, 29295, 121819, 105987, 112535, 102924, 60632, 38641, 9174, 12, 105961, 25446, 30046, 11883, 39880, 71493, 65299, 52414, 20230, 77750, 76171, 56051, 127749, 16556, 198, 12, 27951, 111, 17905, 16144, 13177, 116700, 10646, 20230, 71493, 38248, 121, 33710, 114792, 107462, 47884, 198, 12, 45631, 122646, 39880, 71493, 65299, 52414, 108134, 118587, 107167, 48552, 198, 12, 45631, 115191, 40526, 103605, 108134, 118587, 107167, 48552, 198, 12, 126075, 31634, 30926, 105904, 30512, 17701, 48634, 15024, 5486, 47406, 35287, 198, 68431, 45631, 27384, 40526, 114421, 66383, 13177, 31809, 40526, 114421, 10646, 15682, 67645, 120240, 29295, 104712, 95532, 26948, 16144, 114421, 11883, 39880, 71493, 65299, 52414, 15682, 36896, 27384, 40526, 114421, 66383, 13177, 31809, 40526, 114421, 66383, 95604, 17, 104091, 104770, 16144, 120273, 103664, 83799, 107328, 115991, 5486, 102647, 103854, 30369, 101200, 117084, 61689, 9174, 68431, 45631, 27384, 40526, 114421, 117503, 66378, 17599, 112, 198, 12, 102240, 109518, 19, 11, 7467, 35757, 32149, 117295, 198, 12, 107289, 37823, 76428, 115307, 47043, 32977, 114421, 108608, 198, 12, 105961, 25446, 9039, 9458, 116731, 103621, 102540, 29295, 43568, 44416, 48249, 198, 12, 220, 123011, 107436, 114421, 125104, 108608, 198, 12, 110045, 108337, 106596, 44971, 121057, 29295, 33655, 105262, 198, 12, 107531, 17792, 70141, 76622, 122626, 121432, 29295, 33655, 105262, 198, 68431, 45631, 31809, 40526, 114421, 117503, 66378, 17599, 112, 198, 12, 102240, 109518, 42506, 35330, 92693, 198, 12, 96407, 29295, 16, 14558, 105525, 104028, 27479, 20230, 5486, 1041, 35757, 16144, 108729, 13153, 103664, 42506, 29295, 32149, 117295, 198, 12, 8339, 17905, 20230, 110577, 117083, 47043, 116771, 114421, 108608, 198, 12, 96407, 114421, 15682, 16, 47043, 101860, 59739, 125104, 109215, 198, 39880, 68759, 118091, 113883, 116229, 105352, 110176, 112919, 125261, 29295, 126362, 116216, 61689, 9174, 121846, 5232, 27384, 40526, 114421, 19732, 31809, 40526, 114421, 16144, 121953, 198, 68431, 220, 49412, 97, 33334, 125683, 62004, 15682, 13177, 27384, 40526, 114421, 111329, 39135, 104680, 26854, 121953, 115991, 33541, 29295, 5486, 112418, 15682, 13177, 198, 27384, 40526, 114421, 10646, 55031, 27704, 109315, 112973, 33334, 125683, 62004, 38641, 9174, 28713, 67016, 20230, 5486, 9953, 109518, 42506, 35330, 15682, 32149, 107277, 33541, 29295, 111476, 16, 72516, 40265, 115926, 1041, 35757, 16144, 46034, 9039, 42506, 29295, 32149, 117295, 102677, 109335, 5486, 115303, 9953, 20230, 1135, 28542, 105525, 33121, 104984, 5486, 46034, 9039, 42506, 16144, 122282, 103378, 72661, 27384, 40526, 120332, 119279, 50928, 115717, 33541, 15024, 110745, 40526, 114421, 120332, 29295, 47043, 16144, 114622, 113096, 8239, 114503, 29295, 45736, 115737, 31431, 5486, 105525, 33121, 126172, 16995, 9174, 47260, 71634, 80805, 108526, 108941, 107446, 30512, 113727, 104533, 5486, 121819, 105987, 112535, 27384, 40526, 119279, 125683, 62004, 38641, 9174, 119627, 116898, 112495, 31431, 9953, 20230, 19, 11, 7467, 35757, 30512, 124237, 30297, 120266, 116875, 108324, 107407, 17792, 32977, 16995, 104533, 91763, 61689, 105879, 5486, 119869, 15682, 13177, 31809, 40526, 114421, 10646, 55031, 27704, 109315, 123017, 109606, 124897, 9174, 105525, 115442, 115442, 76947, 47884, 104984, 13177, 31809, 40526, 10646, 52118, 13177, 27384, 40526, 10646, 20230, 122489, 126693, 119010, 122808, 38641, 9174, 90620, 115847, 55031, 72342, 67645, 31431, 16556, 22656, 95221, 16556, 24615, 120, 117201, 16995, 108895, 106609, 19732, 113727, 100934, 105110, 5486, 9953, 1135, 28542, 114016, 126954, 28542, 20230, 103188, 105557, 107515, 105879, 27384, 40526, 114421, 55031, 27704, 109315, 106592, 33334, 125683, 62004, 78434 ]
[ 9174, 827, 220, 25963, 59983, 39850, 33710, 71493, 37823, 16144, 39880, 71493, 65299, 52414, 198, 26854, 112371, 5486, 110382, 16556, 39850, 33710, 71493, 37823, 95532, 106046, 126832, 32149, 110241, 33121, 107515, 29295, 5486, 108056, 19732, 114667, 115991, 33541, 9174, 47043, 30512, 106548, 17701, 115032, 19732, 5486, 28713, 17129, 20230, 26948, 16556, 122626, 118765, 126465, 125334, 38144, 50834, 33541, 9174, 9039, 101182, 47043, 16144, 26854, 32149, 102052, 5486, 26948, 16556, 114421, 123410, 113009, 198, 12, 109332, 38248, 104, 115247, 110008, 31540, 29295, 109215, 26854, 52884, 116670, 198, 12, 8339, 16144, 110008, 31540, 29295, 109215, 26854, 116731, 103621, 102540, 198, 115991, 115847, 120577, 122626, 110008, 31540, 30512, 114634, 107707, 30591, 112568, 29295, 102782, 109311, 39926, 110008, 31540, 30512, 32977, 33503, 30297, 109335, 102321, 103350, 9554, 77181, 124897, 9174, 32977, 43514, 85791, 25827, 5486, 30926, 112772, 44416, 48249, 29295, 32149, 32149, 107462, 100604, 47043, 32149, 104405, 32149, 114140, 54926, 109335, 108608, 105879, 5486, 44416, 48249, 104865, 32149, 103836, 47043, 30512, 106548, 17701, 110615, 105908, 25580, 29172, 102052, 26854, 31431, 33541, 29295, 198, 12, 119041, 121140, 20230, 117591, 20230, 106548, 17701, 106824, 114604, 198, 12, 118199, 48249, 107407, 104468, 53283, 106358, 29295, 5486, 31958, 33503, 111201, 60632, 105576, 96455, 29295, 126521, 47043, 104088, 59739, 107674, 198, 102677, 39177, 32977, 101182, 106046, 61689, 9174, 107943, 110018, 111476, 26948, 16556, 122626, 118765, 47043, 30512, 122626, 54926, 31640, 78183, 111331, 116229, 103306, 5486, 39850, 33710, 71493, 37823, 16144, 125104, 30512, 39926, 33334, 47884, 106592, 84851, 28194, 101, 78434, 9174, 30591, 47884, 17129, 72661, 39850, 76171, 15682, 26948, 26854, 105879, 5486, 110241, 102944, 125344, 103846, 82973, 107407, 110018, 20230, 125104, 39926, 33334, 50834, 17129, 109954, 9174, 14711, 8339, 72342, 67645, 31431, 16556, 109215, 26854, 102944, 118133, 35330, 104817, 111329, 72342, 67645, 31431, 30512, 27704, 109315, 20230, 30591, 28713, 76947, 109215, 26854, 118133, 35330, 10646, 123863, 87177, 38641, 9174, 827, 220, 20713, 59983, 106548, 125639, 20230, 33655, 105262, 33334, 35330, 10110, 85707, 23538, 126330, 23954, 72342, 67645, 31431, 30512, 27704, 109315, 102052, 5486, 32335, 103167, 48249, 112197, 35330, 15682, 109215, 38641, 9174, 72342, 67645, 31431, 15682, 5486, 126843, 47043, 30512, 106548, 17701, 104028, 110229, 55031, 27704, 109709, 33541, 9174, 104364, 109518, 16556, 101268, 110, 105784, 103846, 102052, 111476, 127637, 47043, 30512, 109198, 17701, 15024, 5486, 108031, 127637, 122626, 39926, 85707, 107436, 60632, 105576, 29295, 21990, 123606, 33541, 9174, 106548, 125639, 16144, 124122, 103087, 35330, 103306, 5486, 106084, 104984, 198, 32335, 103167, 18, 93, 20, 110743, 15682, 11883, 37689, 56051, 16995, 110229, 38641, 9174, 80673, 116898, 112495, 31431, 18, 93, 20, 110743, 19732, 117952, 106824, 32977, 5486, 104662, 39926, 51385, 16995, 33334, 35330, 77181, 124897, 1811, 26854, 105879, 112160, 59739, 5486, 106548, 125639, 20230, 109215, 126738, 35330, 30512, 15017, 119, 20834, 54926, 46034, 38574, 30512, 126362, 78434, 9174, 68431, 63091, 110362, 117083, 16995, 110104, 102944, 30512, 105525, 76947, 64121, 101200, 106609, 126843, 15682, 121453, 106624, 127091, 30512, 109198, 17701, 39926, 106548, 17701, 104028, 112772, 198, 37026, 110362, 117083, 16995, 110104, 102944, 5486, 72661, 43511, 124911, 102052, 104940, 81219, 104028, 32149, 121061, 102944, 30512, 106767, 39926, 105525, 76947, 64121, 17129, 109954, 9174, 12, 108477, 255, 64121, 105721, 78183, 100472, 22656, 198, 12, 116381, 42634, 38248, 120, 67075, 20230, 120379, 100472, 110674, 16144, 122202, 112756, 198, 12, 105432, 112, 32149, 123733, 100472, 6620, 198, 12, 40003, 242, 109739, 102189, 114567, 198, 104309, 5486, 106901, 16073, 33710, 15682, 99849, 72661, 27384, 121313, 38641, 9174, 32977, 67016, 112990, 5486, 17663, 48154, 16995, 33334, 104734, 29295, 120379, 103836, 32149, 32977, 6447, 95532, 46729, 117083, 102944, 26854, 105879, 198, 32977, 43514, 85791, 25827, 106548, 125639, 112649, 102518, 33334, 35330, 15682, 108270, 42634, 198, 105525, 33121, 104984, 105525, 103468, 17620, 103378, 36896, 105525, 17905, 10646, 104023, 13177, 60632, 105576, 10646, 115717, 33541, 9174, 68431, 45631, 122626, 52118, 102404, 37705, 10646, 103296, 16144, 89753, 33121, 29295, 106613, 111186, 108608, 198, 99849, 105755, 5486, 47043, 30512, 122626, 39926, 102404, 37705, 54926, 103296, 112028, 89046, 16144, 89753, 33121, 30512, 103350, 104983, 20230, 106613, 111186, 54926, 105908, 125545, 9174, 119869, 15682, 111476, 12, 96407, 30512, 16, 59739, 26948, 20230, 125104, 54926, 121142, 198, 12, 96407, 30512, 16, 59739, 101862, 109, 68379, 39926, 102404, 37705, 54926, 121142, 198, 107188, 31431, 82973, 29295, 32149, 32149, 104533, 91763, 61689, 9174, 15120, 95221, 20230, 47043, 30512, 106548, 17701, 106824, 5486, 38144, 25827, 38144, 22957, 107875, 16995, 101983, 110104, 104466, 5486, 126843, 15682, 37026, 110362, 16144, 16995, 33503, 123733, 100472, 102944, 55031, 27704, 107436, 64121, 30369, 198, 12, 220, 106548, 125639, 103087, 35330, 16144, 105184, 33563, 198, 12, 109517, 102, 105525, 93, 102404, 37705, 103296, 16144, 115541, 108710, 198, 15120, 102465, 41920, 116750, 26854, 105879, 5486, 112371, 104328, 33334, 125683, 62004, 78434, 9174, 43511, 105352, 5486, 102099, 39880, 106384, 37823, 76739, 78983, 102677, 41007, 50667, 32977, 57903, 33541, 29295, 5486, 95221, 108176, 24273, 15682, 104873, 115694, 64121, 38144, 17297, 65316, 9174, 827, 220, 25963, 59983, 29220, 44971, 76428, 67075, 123218, 10110, 68408, 91482, 67075, 123218, 72661, 31540, 23954, 61826, 108680, 5486, 26948, 16144, 114421, 11883, 39880, 71493, 65299, 52414, 16144, 17701, 48634, 111831, 107809, 20230, 105693, 104466, 198, 29220, 44971, 76428, 67075, 123218, 108134, 16144, 17701, 48634, 15682, 59614, 116156, 38641, 9174, 53900, 5486, 106548, 125639, 123410, 110018, 105352, 30591, 104984, 102924, 60632, 38641, 15024, 106116, 72368, 27479, 120098, 32977, 28713, 109709, 33541, 105879, 5486, 69978, 107462, 100604, 24273, 15682, 51330, 101513, 38093, 20230, 19967, 30369, 104466, 39926, 72315, 9174, 68431, 110045, 91482, 67075, 123218, 72661, 27384, 121313, 198, 32977, 43514, 85791, 25827, 29220, 44971, 76428, 67075, 123218, 126694, 30369, 103846, 102052, 117859, 112984, 115991, 33541, 9174, 104405, 120837, 117859, 112984, 20230, 33035, 110104, 24273, 71289, 5486, 27929, 32977, 27929, 32977, 29220, 44971, 76428, 67075, 123218, 15682, 19967, 31431, 121771, 100604, 102677, 24273, 32977, 107991, 123253, 1811, 107943, 126513, 111476, 68408, 91482, 67075, 123218, 72661, 125104, 125545, 9174, 14711, 8339, 72342, 67645, 31431, 16556, 109215, 26854, 102944, 13177, 114950, 111329, 114626, 15682, 36896, 102491, 53953, 33122, 110008, 31540, 110322, 10646, 109853, 38641, 9174, 110382, 77181, 126362, 113314, 125030, 67645, 62004, 33541, 29295, 5486, 25333, 30512, 109373, 17663, 19732, 11589, 106, 115232, 107001, 102944, 26854, 105879, 120700, 104699, 33121, 32977, 61633, 15682, 39926, 72315, 9174, 827, 115752, 53953, 33122, 110008, 31540, 110322, 198, 16325, 102491, 25446, 30512, 108436, 105525, 30832, 112535, 106548, 17701, 106824, 108048, 30512, 26948, 16556, 122626, 54926, 107803, 36896, 102491, 53953, 33122, 110008, 31540, 110322, 118587, 115181, 54926, 109215, 115991, 33541, 9174, 12, 220, 102782, 109311, 116245, 5232, 119642, 113112, 10110, 35417, 51385, 114373, 38093, 23954, 12, 109517, 119, 11883, 5232, 777, 11, 931, 35757, 198, 12, 120174, 47000, 88367, 9080, 5232, 50211, 9080, 198, 12, 104408, 126120, 23538, 48249, 5232, 43568, 23538, 48249, 9458, 51107, 109215, 110214, 198, 12, 49854, 102, 112984, 117232, 5232, 1272, 9080, 113314, 198, 102491, 53953, 33122, 110008, 31540, 30512, 115181, 21105, 103, 16995, 110674, 121270, 102491, 25446, 16556, 72342, 67645, 31431, 126198, 107803, 5486, 119642, 20230, 108167, 104873, 103854, 102204, 5486, 18, 8107, 88852, 16144, 103435, 110, 107734, 125845, 1041, 110743, 88852, 16144, 15581, 108, 35330, 29295, 70626, 107001, 125396, 107407, 105879, 5486, 120700, 104699, 33121, 32977, 61633, 39926, 72315, 9174, 68431, 98261, 6447, 102491, 53953, 33122, 102052, 46091, 27384, 104577, 102781, 107407, 198, 102491, 53953, 33122, 110008, 31540, 110322, 30512, 18655, 76947, 103801, 116285, 108048, 16556, 104712, 106609, 102677, 117735, 77181, 124897, 9174, 110008, 31540, 110322, 30512, 19732, 100472, 55031, 102052, 111476, 106154, 30369, 125231, 104577, 102781, 29295, 102404, 21990, 78434, 9174, 66378, 20230, 5486, 72516, 124750, 72342, 67645, 31431, 10110, 103350, 104983, 20230, 72516, 120650, 76947, 47043, 30512, 106548, 17701, 104028, 7705, 126194, 111476, 104930, 52591, 90962, 29220, 71289, 39850, 33710, 71493, 37823, 123160, 101721, 101171, 111, 72342, 67645, 31431, 10110, 118823, 17905, 16556, 47043, 30512, 109198, 17701, 15024, 106548, 17701, 104028, 7705, 123410, 110018, 20230, 5486, 61633, 29295, 109215, 38641, 9174, 101721, 101171, 111, 72342, 67645, 111331, 107803, 5486, 102491, 53953, 33122, 10110, 86127, 105459, 5486, 72342, 67645, 33503, 11972, 7705, 19732, 105525, 31431, 36668, 15682, 109467, 115499, 114146, 30369, 105908, 100604, 13177, 66776, 103359, 28190, 18655, 73686, 10646, 20230, 112424, 17905, 109638, 40265, 15024, 5486, 106045, 44416, 16144, 103359, 47523, 115717, 33541, 9174, 112825, 110904, 20230, 18, 118821, 104577, 102781, 30512, 126362, 78434, 9174, 68431, 220, 20713, 59983, 22656, 17792, 114140, 104577, 102781, 198, 85701, 15682, 5486, 115364, 108134, 126194, 5486, 47043, 30512, 105525, 76947, 124089, 106548, 125639, 61826, 16144, 96356, 17620, 114140, 16144, 104577, 102781, 38641, 9174, 68431, 220, 25963, 59983, 18655, 113801, 16144, 61304, 108565, 104577, 102781, 198, 108064, 5486, 116414, 16556, 117119, 30512, 116898, 126910, 16556, 107691, 100472, 104865, 5486, 13821, 111, 107218, 123, 116825, 107441, 33334, 47884, 104577, 102781, 38641, 9174, 115707, 20230, 104662, 109709, 120937, 103846, 116907, 16144, 47043, 40452, 21405, 104309, 16556, 31640, 11883, 125545, 9174, 68431, 220, 34617, 59983, 16937, 37656, 25446, 16144, 102782, 58655, 104577, 102781, 198, 123010, 25446, 71289, 49691, 121, 52884, 116670, 25446, 104309, 29295, 46034, 24186, 20230, 18904, 121118, 110018, 5486, 119642, 20230, 120270, 54926, 104577, 102781, 38641, 9174, 68431, 45631, 102491, 53953, 33122, 110008, 31540, 110322, 125001, 110104, 72342, 67645, 31431, 10646, 32977, 101182, 106609, 51385, 64209, 39926, 72315, 9174, 72342, 67645, 31431, 85707, 64209, 112919, 24273, 29295, 116898, 112495, 31431, 102491, 53953, 33122, 110008, 31540, 110322, 30512, 19732, 110104, 19732, 99849, 32977, 118765, 32149, 102677, 19732, 121906, 77181, 124897, 1811, 16995, 47884, 59739, 32149, 27452, 48915, 15682, 101182, 16144, 119627, 5486, 126843, 15682, 198, 12, 63091, 110362, 117083, 16937, 117851, 30512, 105525, 30369, 107803, 5486, 109215, 110214, 198, 12, 80019, 25446, 72342, 67645, 111331, 107803, 5486, 109215, 110214, 198, 38641, 9174, 45163, 110782, 102052, 5486, 59614, 101860, 115181, 17663, 103854, 112495, 105879, 74482, 15682, 110480, 87217, 16144, 109606, 119627, 108149, 112568, 20230, 105693, 41007, 16556, 103130, 107436, 115962, 118145, 106046, 61689, 9174, 72342, 67645, 31431, 16556, 24615, 120, 104699, 20230, 30591, 28713, 76947, 111476, 16325, 102491, 25446, 32977, 106548, 125639, 109115, 24273, 29295, 121819, 105987, 112535, 24615, 120, 105557, 126172, 16995, 109335, 56965, 121953, 124897, 9174, 567, 220, 123011, 62004, 8339, 72342, 67645, 31431, 16556, 107253, 104874, 54926, 102944, 198, 26948, 72342, 67645, 31431, 30512, 27704, 109315, 20230, 30591, 28713, 76947, 109215, 26854, 107253, 104874, 71289, 102944, 30512, 126362, 39926, 50834, 79721, 9174, 104398, 32149, 47884, 122984, 39926, 50834, 79721, 105879, 5486, 107188, 31431, 101544, 115737, 76947, 103801, 16995, 79721, 29295, 116898, 32149, 29295, 16556, 56051, 32149, 9174, 85701, 30813, 58942, 27929, 85791, 116285, 111476, 103350, 104983, 20230, 26948, 72342, 67645, 31431, 30512, 110589, 55031, 27704, 109315, 105908, 106084, 33541, 9174, 37271, 74482, 15682, 5486, 26948, 16556, 114421, 54926, 110018, 16144, 61633, 28542, 71289, 126362, 56051, 102494, 101335, 44971, 84477, 16144, 33655, 16995, 24273, 104309, 5486, 118789, 109904, 71289, 31431, 24273, 109853, 32977, 50338, 108323, 109768, 108895, 106046, 61689, 9174, 72342, 67645, 31431, 15682, 115515, 103296, 16144, 48864, 114172, 71289, 107430, 114172, 5486, 106613, 111186, 30512, 99397, 124059, 5486, 112832, 72661, 95221, 117355, 20230, 27704, 62004, 110071, 106966, 101275, 112028, 59739, 38641, 9174, 114715, 72661, 109834, 103868, 16144, 101182, 24273, 15682, 5486, 112371, 104328, 126419, 20230, 114099, 102669, 103801, 109954, 1811, 128001, 128000, 64121, 26854, 98369, 90115, 106609, 113938, 119627, 64121, 26854, 117940, 5486, 121410, 117073, 104873, 22649, 71289, 102456, 30926, 20230, 33655, 30297, 104754, 30512, 67645, 119775, 102647, 104127, 61689, 32149, 95532, 33014, 20230, 109161, 16995, 104754, 107407, 102677, 104468, 108870, 20230, 56051, 105908, 57903, 33541, 29295, 5486, 77181, 33014, 20230, 126521, 104754, 107118, 67645, 120950, 102944, 107407, 105879, 109954, 32149, 95532, 37271, 18904, 15682, 33014, 20230, 126521, 104754, 71289, 102647, 102802, 24273, 16144, 120098, 109853, 48154, 126362, 78434, 106609, 33014, 20230, 126521, 104754, 126130, 125683, 62004, 54926, 114667, 198, 104754, 102052, 46091, 27384, 15308, 226, 113598, 72238, 16144, 115303, 59739, 13177, 121496, 105284, 10646, 29295, 43240, 47884, 96412, 17129, 106824, 108086, 5486, 118958, 109205, 69978, 71289, 111006, 112415, 102052, 124490, 32149, 17663, 100909, 16144, 118765, 76739, 124643, 104603, 11972, 39084, 38641, 106609, 104398, 112506, 115716, 30512, 106391, 13153, 54926, 13153, 17620, 71289, 91482, 47307, 101198, 113883, 107246, 110226, 30512, 113096, 15024, 5486, 127242, 112990, 13153, 101544, 16144, 30250, 227, 33121, 71289, 105871, 104735, 248, 104865, 30813, 59739, 50834, 9458, 20251, 32131, 112193, 5486, 104473, 36651, 29295, 32977, 85791, 47884, 109020, 123160, 111571, 103397, 30512, 125119, 17663, 105908, 57903, 33541, 9174, 33014, 20230, 126521, 104754, 16144, 99046, 224, 18655, 15682, 110745, 107707, 113614, 102052, 32977, 43514, 85791, 25827, 45829, 67645, 102944, 102404, 101662, 105352, 109215, 19732, 117952, 106824, 108086, 5486, 100525, 232, 101310, 254, 16325, 71289, 107141, 111528, 16325, 32977, 108882, 110993, 109904, 99046, 224, 18655, 30512, 53508, 100, 62004, 124195, 61689, 9174, 104754, 16144, 104091, 104770, 198, 121496, 105284, 15682, 119448, 47884, 17620, 107441, 13177, 198, 72406 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 827, 220, 25963, 59983, 39850, 33710, 71493, 37823, 16144, 39880, 71493, 65299, 52414, 198, 26854, 112371, 5486, 110382, 16556, 39850, 33710, 71493, 37823, 95532, 106046, 126832, 32149, 110241, 33121, 107515, 29295, 5486, 108056, 19732, 114667, 115991, 33541, 9174, 47043, 30512, 106548, 17701, 115032, 19732, 5486, 28713, 17129, 20230, 26948, 16556, 122626, 118765, 126465, 125334, 38144, 50834, 33541, 9174, 9039, 101182, 47043, 16144, 26854, 32149, 102052, 5486, 26948, 16556, 114421, 123410, 113009, 198, 12, 109332, 38248, 104, 115247, 110008, 31540, 29295, 109215, 26854, 52884, 116670, 198, 12, 8339, 16144, 110008, 31540, 29295, 109215, 26854, 116731, 103621, 102540, 198, 115991, 115847, 120577, 122626, 110008, 31540, 30512, 114634, 107707, 30591, 112568, 29295, 102782, 109311, 39926, 110008, 31540, 30512, 32977, 33503, 30297, 109335, 102321, 103350, 9554, 77181, 124897, 9174, 32977, 43514, 85791, 25827, 5486, 30926, 112772, 44416, 48249, 29295, 32149, 32149, 107462, 100604, 47043, 32149, 104405, 32149, 114140, 54926, 109335, 108608, 105879, 5486, 44416, 48249, 104865, 32149, 103836, 47043, 30512, 106548, 17701, 110615, 105908, 25580, 29172, 102052, 26854, 31431, 33541, 29295, 198, 12, 119041, 121140, 20230, 117591, 20230, 106548, 17701, 106824, 114604, 198, 12, 118199, 48249, 107407, 104468, 53283, 106358, 29295, 5486, 31958, 33503, 111201, 60632, 105576, 96455, 29295, 126521, 47043, 104088, 59739, 107674, 198, 102677, 39177, 32977, 101182, 106046, 61689, 9174, 107943, 110018, 111476, 26948, 16556, 122626, 118765, 47043, 30512, 122626, 54926, 31640, 78183, 111331, 116229, 103306, 5486, 39850, 33710, 71493, 37823, 16144, 125104, 30512, 39926, 33334, 47884, 106592, 84851, 28194, 101, 78434, 9174, 30591, 47884, 17129, 72661, 39850, 76171, 15682, 26948, 26854, 105879, 5486, 110241, 102944, 125344, 103846, 82973, 107407, 110018, 20230, 125104, 39926, 33334, 50834, 17129, 109954, 9174, 14711, 8339, 72342, 67645, 31431, 16556, 109215, 26854, 102944, 118133, 35330, 104817, 111329, 72342, 67645, 31431, 30512, 27704, 109315, 20230, 30591, 28713, 76947, 109215, 26854, 118133, 35330, 10646, 123863, 87177, 38641, 9174, 827, 220, 20713, 59983, 106548, 125639, 20230, 33655, 105262, 33334, 35330, 10110, 85707, 23538, 126330, 23954, 72342, 67645, 31431, 30512, 27704, 109315, 102052, 5486, 32335, 103167, 48249, 112197, 35330, 15682, 109215, 38641, 9174, 72342, 67645, 31431, 15682, 5486, 126843, 47043, 30512, 106548, 17701, 104028, 110229, 55031, 27704, 109709, 33541, 9174, 104364, 109518, 16556, 101268, 110, 105784, 103846, 102052, 111476, 127637, 47043, 30512, 109198, 17701, 15024, 5486, 108031, 127637, 122626, 39926, 85707, 107436, 60632, 105576, 29295, 21990, 123606, 33541, 9174, 106548, 125639, 16144, 124122, 103087, 35330, 103306, 5486, 106084, 104984, 198, 32335, 103167, 18, 93, 20, 110743, 15682, 11883, 37689, 56051, 16995, 110229, 38641, 9174, 80673, 116898, 112495, 31431, 18, 93, 20, 110743, 19732, 117952, 106824, 32977, 5486, 104662, 39926, 51385, 16995, 33334, 35330, 77181, 124897, 1811, 26854, 105879, 112160, 59739, 5486, 106548, 125639, 20230, 109215, 126738, 35330, 30512, 15017, 119, 20834, 54926, 46034, 38574, 30512, 126362, 78434, 9174, 68431, 63091, 110362, 117083, 16995, 110104, 102944, 30512, 105525, 76947, 64121, 101200, 106609, 126843, 15682, 121453, 106624, 127091, 30512, 109198, 17701, 39926, 106548, 17701, 104028, 112772, 198, 37026, 110362, 117083, 16995, 110104, 102944, 5486, 72661, 43511, 124911, 102052, 104940, 81219, 104028, 32149, 121061, 102944, 30512, 106767, 39926, 105525, 76947, 64121, 17129, 109954, 9174, 12, 108477, 255, 64121, 105721, 78183, 100472, 22656, 198, 12, 116381, 42634, 38248, 120, 67075, 20230, 120379, 100472, 110674, 16144, 122202, 112756, 198, 12, 105432, 112, 32149, 123733, 100472, 6620, 198, 12, 40003, 242, 109739, 102189, 114567, 198, 104309, 5486, 106901, 16073, 33710, 15682, 99849, 72661, 27384, 121313, 38641, 9174, 32977, 67016, 112990, 5486, 17663, 48154, 16995, 33334, 104734, 29295, 120379, 103836, 32149, 32977, 6447, 95532, 46729, 117083, 102944, 26854, 105879, 198, 32977, 43514, 85791, 25827, 106548, 125639, 112649, 102518, 33334, 35330, 15682, 108270, 42634, 198, 105525, 33121, 104984, 105525, 103468, 17620, 103378, 36896, 105525, 17905, 10646, 104023, 13177, 60632, 105576, 10646, 115717, 33541, 9174, 68431, 45631, 122626, 52118, 102404, 37705, 10646, 103296, 16144, 89753, 33121, 29295, 106613, 111186, 108608, 198, 99849, 105755, 5486, 47043, 30512, 122626, 39926, 102404, 37705, 54926, 103296, 112028, 89046, 16144, 89753, 33121, 30512, 103350, 104983, 20230, 106613, 111186, 54926, 105908, 125545, 9174, 119869, 15682, 111476, 12, 96407, 30512, 16, 59739, 26948, 20230, 125104, 54926, 121142, 198, 12, 96407, 30512, 16, 59739, 101862, 109, 68379, 39926, 102404, 37705, 54926, 121142, 198, 107188, 31431, 82973, 29295, 32149, 32149, 104533, 91763, 61689, 9174, 15120, 95221, 20230, 47043, 30512, 106548, 17701, 106824, 5486, 38144, 25827, 38144, 22957, 107875, 16995, 101983, 110104, 104466, 5486, 126843, 15682, 37026, 110362, 16144, 16995, 33503, 123733, 100472, 102944, 55031, 27704, 107436, 64121, 30369, 198, 12, 220, 106548, 125639, 103087, 35330, 16144, 105184, 33563, 198, 12, 109517, 102, 105525, 93, 102404, 37705, 103296, 16144, 115541, 108710, 198, 15120, 102465, 41920, 116750, 26854, 105879, 5486, 112371, 104328, 33334, 125683, 62004, 78434, 9174, 43511, 105352, 5486, 102099, 39880, 106384, 37823, 76739, 78983, 102677, 41007, 50667, 32977, 57903, 33541, 29295, 5486, 95221, 108176, 24273, 15682, 104873, 115694, 64121, 38144, 17297, 65316, 9174, 827, 220, 25963, 59983, 29220, 44971, 76428, 67075, 123218, 10110, 68408, 91482, 67075, 123218, 72661, 31540, 23954, 61826, 108680, 5486, 26948, 16144, 114421, 11883, 39880, 71493, 65299, 52414, 16144, 17701, 48634, 111831, 107809, 20230, 105693, 104466, 198, 29220, 44971, 76428, 67075, 123218, 108134, 16144, 17701, 48634, 15682, 59614, 116156, 38641, 9174, 53900, 5486, 106548, 125639, 123410, 110018, 105352, 30591, 104984, 102924, 60632, 38641, 15024, 106116, 72368, 27479, 120098, 32977, 28713, 109709, 33541, 105879, 5486, 69978, 107462, 100604, 24273, 15682, 51330, 101513, 38093, 20230, 19967, 30369, 104466, 39926, 72315, 9174, 68431, 110045, 91482, 67075, 123218, 72661, 27384, 121313, 198, 32977, 43514, 85791, 25827, 29220, 44971, 76428, 67075, 123218, 126694, 30369, 103846, 102052, 117859, 112984, 115991, 33541, 9174, 104405, 120837, 117859, 112984, 20230, 33035, 110104, 24273, 71289, 5486, 27929, 32977, 27929, 32977, 29220, 44971, 76428, 67075, 123218, 15682, 19967, 31431, 121771, 100604, 102677, 24273, 32977, 107991, 123253, 1811, 107943, 126513, 111476, 68408, 91482, 67075, 123218, 72661, 125104, 125545, 9174, 14711, 8339, 72342, 67645, 31431, 16556, 109215, 26854, 102944, 13177, 114950, 111329, 114626, 15682, 36896, 102491, 53953, 33122, 110008, 31540, 110322, 10646, 109853, 38641, 9174, 110382, 77181, 126362, 113314, 125030, 67645, 62004, 33541, 29295, 5486, 25333, 30512, 109373, 17663, 19732, 11589, 106, 115232, 107001, 102944, 26854, 105879, 120700, 104699, 33121, 32977, 61633, 15682, 39926, 72315, 9174, 827, 115752, 53953, 33122, 110008, 31540, 110322, 198, 16325, 102491, 25446, 30512, 108436, 105525, 30832, 112535, 106548, 17701, 106824, 108048, 30512, 26948, 16556, 122626, 54926, 107803, 36896, 102491, 53953, 33122, 110008, 31540, 110322, 118587, 115181, 54926, 109215, 115991, 33541, 9174, 12, 220, 102782, 109311, 116245, 5232, 119642, 113112, 10110, 35417, 51385, 114373, 38093, 23954, 12, 109517, 119, 11883, 5232, 777, 11, 931, 35757, 198, 12, 120174, 47000, 88367, 9080, 5232, 50211, 9080, 198, 12, 104408, 126120, 23538, 48249, 5232, 43568, 23538, 48249, 9458, 51107, 109215, 110214, 198, 12, 49854, 102, 112984, 117232, 5232, 1272, 9080, 113314, 198, 102491, 53953, 33122, 110008, 31540, 30512, 115181, 21105, 103, 16995, 110674, 121270, 102491, 25446, 16556, 72342, 67645, 31431, 126198, 107803, 5486, 119642, 20230, 108167, 104873, 103854, 102204, 5486, 18, 8107, 88852, 16144, 103435, 110, 107734, 125845, 1041, 110743, 88852, 16144, 15581, 108, 35330, 29295, 70626, 107001, 125396, 107407, 105879, 5486, 120700, 104699, 33121, 32977, 61633, 39926, 72315, 9174, 68431, 98261, 6447, 102491, 53953, 33122, 102052, 46091, 27384, 104577, 102781, 107407, 198, 102491, 53953, 33122, 110008, 31540, 110322, 30512, 18655, 76947, 103801, 116285, 108048, 16556, 104712, 106609, 102677, 117735, 77181, 124897, 9174, 110008, 31540, 110322, 30512, 19732, 100472, 55031, 102052, 111476, 106154, 30369, 125231, 104577, 102781, 29295, 102404, 21990, 78434, 9174, 66378, 20230, 5486, 72516, 124750, 72342, 67645, 31431, 10110, 103350, 104983, 20230, 72516, 120650, 76947, 47043, 30512, 106548, 17701, 104028, 7705, 126194, 111476, 104930, 52591, 90962, 29220, 71289, 39850, 33710, 71493, 37823, 123160, 101721, 101171, 111, 72342, 67645, 31431, 10110, 118823, 17905, 16556, 47043, 30512, 109198, 17701, 15024, 106548, 17701, 104028, 7705, 123410, 110018, 20230, 5486, 61633, 29295, 109215, 38641, 9174, 101721, 101171, 111, 72342, 67645, 111331, 107803, 5486, 102491, 53953, 33122, 10110, 86127, 105459, 5486, 72342, 67645, 33503, 11972, 7705, 19732, 105525, 31431, 36668, 15682, 109467, 115499, 114146, 30369, 105908, 100604, 13177, 66776, 103359, 28190, 18655, 73686, 10646, 20230, 112424, 17905, 109638, 40265, 15024, 5486, 106045, 44416, 16144, 103359, 47523, 115717, 33541, 9174, 112825, 110904, 20230, 18, 118821, 104577, 102781, 30512, 126362, 78434, 9174, 68431, 220, 20713, 59983, 22656, 17792, 114140, 104577, 102781, 198, 85701, 15682, 5486, 115364, 108134, 126194, 5486, 47043, 30512, 105525, 76947, 124089, 106548, 125639, 61826, 16144, 96356, 17620, 114140, 16144, 104577, 102781, 38641, 9174, 68431, 220, 25963, 59983, 18655, 113801, 16144, 61304, 108565, 104577, 102781, 198, 108064, 5486, 116414, 16556, 117119, 30512, 116898, 126910, 16556, 107691, 100472, 104865, 5486, 13821, 111, 107218, 123, 116825, 107441, 33334, 47884, 104577, 102781, 38641, 9174, 115707, 20230, 104662, 109709, 120937, 103846, 116907, 16144, 47043, 40452, 21405, 104309, 16556, 31640, 11883, 125545, 9174, 68431, 220, 34617, 59983, 16937, 37656, 25446, 16144, 102782, 58655, 104577, 102781, 198, 123010, 25446, 71289, 49691, 121, 52884, 116670, 25446, 104309, 29295, 46034, 24186, 20230, 18904, 121118, 110018, 5486, 119642, 20230, 120270, 54926, 104577, 102781, 38641, 9174, 68431, 45631, 102491, 53953, 33122, 110008, 31540, 110322, 125001, 110104, 72342, 67645, 31431, 10646, 32977, 101182, 106609, 51385, 64209, 39926, 72315, 9174, 72342, 67645, 31431, 85707, 64209, 112919, 24273, 29295, 116898, 112495, 31431, 102491, 53953, 33122, 110008, 31540, 110322, 30512, 19732, 110104, 19732, 99849, 32977, 118765, 32149, 102677, 19732, 121906, 77181, 124897, 1811, 16995, 47884, 59739, 32149, 27452, 48915, 15682, 101182, 16144, 119627, 5486, 126843, 15682, 198, 12, 63091, 110362, 117083, 16937, 117851, 30512, 105525, 30369, 107803, 5486, 109215, 110214, 198, 12, 80019, 25446, 72342, 67645, 111331, 107803, 5486, 109215, 110214, 198, 38641, 9174, 45163, 110782, 102052, 5486, 59614, 101860, 115181, 17663, 103854, 112495, 105879, 74482, 15682, 110480, 87217, 16144, 109606, 119627, 108149, 112568, 20230, 105693, 41007, 16556, 103130, 107436, 115962, 118145, 106046, 61689, 9174, 72342, 67645, 31431, 16556, 24615, 120, 104699, 20230, 30591, 28713, 76947, 111476, 16325, 102491, 25446, 32977, 106548, 125639, 109115, 24273, 29295, 121819, 105987, 112535, 24615, 120, 105557, 126172, 16995, 109335, 56965, 121953, 124897, 9174, 567, 220, 123011, 62004, 8339, 72342, 67645, 31431, 16556, 107253, 104874, 54926, 102944, 198, 26948, 72342, 67645, 31431, 30512, 27704, 109315, 20230, 30591, 28713, 76947, 109215, 26854, 107253, 104874, 71289, 102944, 30512, 126362, 39926, 50834, 79721, 9174, 104398, 32149, 47884, 122984, 39926, 50834, 79721, 105879, 5486, 107188, 31431, 101544, 115737, 76947, 103801, 16995, 79721, 29295, 116898, 32149, 29295, 16556, 56051, 32149, 9174, 85701, 30813, 58942, 27929, 85791, 116285, 111476, 103350, 104983, 20230, 26948, 72342, 67645, 31431, 30512, 110589, 55031, 27704, 109315, 105908, 106084, 33541, 9174, 37271, 74482, 15682, 5486, 26948, 16556, 114421, 54926, 110018, 16144, 61633, 28542, 71289, 126362, 56051, 102494, 101335, 44971, 84477, 16144, 33655, 16995, 24273, 104309, 5486, 118789, 109904, 71289, 31431, 24273, 109853, 32977, 50338, 108323, 109768, 108895, 106046, 61689, 9174, 72342, 67645, 31431, 15682, 115515, 103296, 16144, 48864, 114172, 71289, 107430, 114172, 5486, 106613, 111186, 30512, 99397, 124059, 5486, 112832, 72661, 95221, 117355, 20230, 27704, 62004, 110071, 106966, 101275, 112028, 59739, 38641, 9174, 114715, 72661, 109834, 103868, 16144, 101182, 24273, 15682, 5486, 112371, 104328, 126419, 20230, 114099, 102669, 103801, 109954, 1811, 128001, 128000, 64121, 26854, 98369, 90115, 106609, 113938, 119627, 64121, 26854, 117940, 5486, 121410, 117073, 104873, 22649, 71289, 102456, 30926, 20230, 33655, 30297, 104754, 30512, 67645, 119775, 102647, 104127, 61689, 32149, 95532, 33014, 20230, 109161, 16995, 104754, 107407, 102677, 104468, 108870, 20230, 56051, 105908, 57903, 33541, 29295, 5486, 77181, 33014, 20230, 126521, 104754, 107118, 67645, 120950, 102944, 107407, 105879, 109954, 32149, 95532, 37271, 18904, 15682, 33014, 20230, 126521, 104754, 71289, 102647, 102802, 24273, 16144, 120098, 109853, 48154, 126362, 78434, 106609, 33014, 20230, 126521, 104754, 126130, 125683, 62004, 54926, 114667, 198, 104754, 102052, 46091, 27384, 15308, 226, 113598, 72238, 16144, 115303, 59739, 13177, 121496, 105284, 10646, 29295, 43240, 47884, 96412, 17129, 106824, 108086, 5486, 118958, 109205, 69978, 71289, 111006, 112415, 102052, 124490, 32149, 17663, 100909, 16144, 118765, 76739, 124643, 104603, 11972, 39084, 38641, 106609, 104398, 112506, 115716, 30512, 106391, 13153, 54926, 13153, 17620, 71289, 91482, 47307, 101198, 113883, 107246, 110226, 30512, 113096, 15024, 5486, 127242, 112990, 13153, 101544, 16144, 30250, 227, 33121, 71289, 105871, 104735, 248, 104865, 30813, 59739, 50834, 9458, 20251, 32131, 112193, 5486, 104473, 36651, 29295, 32977, 85791, 47884, 109020, 123160, 111571, 103397, 30512, 125119, 17663, 105908, 57903, 33541, 9174, 33014, 20230, 126521, 104754, 16144, 99046, 224, 18655, 15682, 110745, 107707, 113614, 102052, 32977, 43514, 85791, 25827, 45829, 67645, 102944, 102404, 101662, 105352, 109215, 19732, 117952, 106824, 108086, 5486, 100525, 232, 101310, 254, 16325, 71289, 107141, 111528, 16325, 32977, 108882, 110993, 109904, 99046, 224, 18655, 30512, 53508, 100, 62004, 124195, 61689, 9174, 104754, 16144, 104091, 104770, 198, 121496, 105284, 15682, 119448, 47884, 17620, 107441, 13177, 198, 72406 ]
[ 121, 34208, 121496, 57942, 103, 108602, 66383, 13177, 87109, 72406, 121, 34208, 121496, 57942, 103, 108602, 117503, 25963, 59739, 20230, 17620, 104770, 116216, 61689, 9174, 119448, 47884, 108010, 30297, 104468, 33014, 32943, 16556, 40862, 13153, 108608, 32149, 102677, 100909, 19732, 111476, 91875, 53953, 19732, 124928, 235, 53953, 16144, 67645, 112384, 20230, 43240, 47884, 96412, 17129, 115032, 32149, 102677, 28542, 38641, 9174, 72406, 121, 34208, 121496, 57942, 103, 108602, 198, 72406, 121, 34208, 121496, 57942, 103, 108602, 15682, 33014, 32943, 16556, 19967, 30369, 105908, 103082, 5486, 66953, 47307, 38248, 226, 32131, 65575, 5486, 109022, 121496, 104309, 102083, 100472, 198, 91875, 53953, 34171, 121496, 57942, 103, 20230, 43240, 47884, 96412, 17129, 106824, 61689, 9174, 99046, 224, 18655, 15024, 120195, 104533, 33014, 32943, 16556, 107608, 109709, 5486, 104473, 36651, 116825, 17129, 117063, 30369, 105908, 101182, 103846, 91875, 101171, 230, 110567, 33208, 71289, 64209, 116436, 111694, 123160, 109688, 117126, 34171, 30512, 45736, 109315, 105879, 5486, 99046, 224, 18655, 33857, 102052, 114392, 61633, 29295, 109215, 38641, 9174, 16937, 72406, 121, 34208, 121496, 57942, 103, 108602, 198, 16937, 72406, 121, 34208, 121496, 57942, 103, 108602, 15682, 33014, 32943, 16556, 19967, 102204, 100604, 103846, 111476, 102456, 30926, 104309, 16556, 99046, 224, 18655, 54926, 109215, 115991, 33541, 9174, 118028, 109229, 90962, 106696, 71289, 39880, 68759, 78683, 104754, 104309, 117430, 71289, 115371, 20230, 96412, 123606, 17297, 61304, 16144, 34617, 118821, 118953, 107610, 20230, 17620, 76622, 102204, 33541, 9174, 47774, 90962, 44971, 76171, 108602, 10110, 90962, 39850, 102472, 68093, 23954, 47774, 37823, 101335, 64178, 108602, 10110, 90962, 39850, 102472, 60596, 23954, 47774, 19481, 12, 37823, 101335, 111999, 108602, 10110, 90962, 39850, 102472, 34617, 23954, 108324, 108602, 33208, 113266, 71289, 109161, 106157, 47260, 44971, 106826, 42634, 64178, 30512, 114485, 33503, 17663, 122502, 50834, 115991, 33541, 29295, 5486, 107969, 71289, 101426, 5486, 35894, 95221, 20230, 112294, 102334, 62004, 21601, 107969, 104873, 22649, 102052, 70141, 102532, 33334, 121140, 111476, 45923, 44971, 26269, 57207, 94550, 104309, 117657, 112973, 33334, 125683, 62004, 38641, 9174, 567, 119019, 105284, 26854, 104754, 107118, 95532, 14711, 220, 34617, 5232, 46702, 5232, 34617, 29295, 105310, 35330, 66953, 119930, 10110, 50, 5901, 57106, 8, 29295, 27384, 30926, 198, 13177, 72406, 121, 34208, 121496, 57942, 103, 108602, 59712, 15120, 95001, 16937, 72406, 121, 34208, 121496, 57942, 103, 108602, 59712, 43240, 95001, 16937, 72406, 121, 34208, 121496, 57942, 103, 108602, 118587, 34617, 5232, 46702, 5232, 34617, 16556, 99046, 224, 18655, 54926, 105908, 22649, 101067, 9554, 38641, 9174, 72406, 121, 34208, 121496, 57942, 103, 108602, 10110, 50, 284, 328, 35467, 40085, 13935, 65459, 15120, 95001, 16937, 72406, 121, 34208, 121496, 57942, 103, 108602, 10110, 44, 284, 3206, 60086, 35467, 40085, 13935, 65459, 43240, 95001, 16937, 72406, 121, 34208, 121496, 57942, 103, 108602, 10110, 47, 284, 19294, 653, 1355, 35467, 40085, 13935, 120732, 57106, 96455, 29295, 18, 551, 19, 551, 220, 18, 113637, 55487, 17620, 30512, 50, 5901, 57106, 102083, 61689, 9174, 34617, 5232, 46702, 5232, 34617, 5486, 59739, 109709, 36896, 198, 67645, 33121, 111201, 115598, 30369, 100909, 103470, 66953, 119930, 114652, 66383, 95604, 112973, 51330, 111017, 40862, 55031, 64121, 38144, 19732, 104028, 106046, 61689, 1811, 67645, 16144, 118953, 107610, 32977, 109215, 26854, 104754, 16556, 108048, 108422, 33121, 33014, 102052, 109215, 26854, 15308, 226, 113598, 72238, 38641, 9174, 20713, 118821, 90962, 106696, 122416, 30512, 99046, 224, 30369, 16144, 126194, 5486, 34617, 118953, 107610, 16144, 106691, 109904, 90962, 106696, 30512, 53283, 100472, 17905, 16556, 108048, 108422, 33121, 16144, 90962, 106696, 30512, 43568, 22649, 103470, 99046, 224, 30369, 105908, 27384, 102769, 38641, 9174, 14711, 111830, 42506, 16144, 15308, 121, 107517, 41007, 30512, 116696, 48552, 106609, 114407, 117434, 71289, 116945, 117178, 42506, 20230, 117943, 121140, 20230, 101662, 38144, 109115, 111476, 19361, 101513, 15308, 121, 107517, 10110, 90962, 38248, 105, 122842, 120732, 104754, 119279, 125683, 62004, 38641, 1811, 50034, 33857, 107118, 16995, 58942, 5486, 108618, 104650, 114407, 117434, 112212, 113614, 101307, 104698, 29295, 95221, 108176, 24273, 32977, 127181, 106046, 61689, 9174, 19361, 101513, 15308, 121, 107517, 16556, 101662, 38144, 109115, 53229, 42506, 55031, 118935, 104754, 103646, 104754, 127303, 104984, 5486, 120208, 114652, 33334, 33655, 104712, 90620, 105784, 16144, 111769, 123253, 32149, 9174, 14711, 220, 47585, 37729, 32648, 15682, 30250, 106, 101426, 91482, 16073, 29295, 127066, 198, 104754, 15682, 101426, 71289, 108602, 72238, 113468, 8239, 96, 33208, 54926, 34171, 105284, 115991, 33541, 1811, 47585, 37729, 32648, 15682, 5486, 108950, 31958, 71289, 57326, 112718, 78459, 48552, 126036, 108602, 72238, 30512, 105988, 67075, 39880, 125916, 108608, 30250, 106, 101426, 91482, 16073, 119279, 125683, 62004, 38641, 9174, 102456, 116450, 20230, 115442, 30369, 103296, 16144, 104754, 16144, 8239, 96, 33208, 30512, 32335, 31809, 48249, 20230, 126128, 107290, 120700, 33541, 9174, 33334, 125683, 62004, 16144, 33014, 20230, 126521, 104754, 198, 20713, 59983, 118028, 109229, 90962, 106696, 198, 109161, 106157, 47260, 44971, 106826, 42634, 64178, 114485, 83747, 5486, 91875, 101171, 230, 110567, 33208, 9458, 101171, 111, 124305, 16325, 16144, 103911, 103181, 5486, 108324, 108602, 33208, 113266, 5486, 64531, 101921, 116, 113266, 5486, 122270, 40526, 26274, 255, 103911, 103181, 103296, 122603, 16995, 8239, 114503, 107407, 102083, 126832, 104754, 38641, 9174, 77693, 116749, 105352, 91482, 47307, 101198, 16073, 124606, 9458, 32, 71289, 89154, 37823, 111661, 101335, 64178, 32977, 96412, 104127, 102532, 5486, 120044, 16144, 119455, 103809, 98, 71289, 57207, 101198, 9458, 57207, 102756, 16144, 103911, 103181, 8239, 114503, 104309, 92877, 33208, 30512, 126128, 105262, 58666, 37729, 8239, 114503, 32977, 125494, 125545, 9174, 25963, 59983, 39880, 68759, 78683, 104754, 9458, 76739, 103621, 68759, 104754, 198, 33014, 20230, 109215, 26854, 90962, 39850, 102472, 18, 121496, 57942, 103, 108602, 29295, 119515, 105469, 20230, 96412, 17129, 106824, 61689, 1811, 90962, 39850, 102472, 18, 121496, 57942, 103, 108602, 30512, 43240, 126145, 30369, 118733, 104473, 36651, 29295, 21105, 103, 71289, 32149, 115717, 5486, 104473, 107654, 29295, 22398, 91062, 106240, 20230, 89753, 106824, 103429, 95221, 16144, 103911, 103181, 107294, 105722, 31431, 33541, 9174, 53900, 104398, 112506, 115716, 29295, 115289, 122279, 108176, 103846, 5486, 15308, 226, 113598, 72238, 30512, 22398, 91062, 106240, 20230, 108167, 104526, 104004, 105908, 103082, 5486, 104398, 112506, 15682, 33541, 33541, 24186, 95221, 115717, 58666, 120044, 107294, 105722, 30369, 16144, 38641, 9174, 34617, 59983, 47260, 47260, 96452, 123428, 90962, 106696, 198, 72406, 121, 34208, 121496, 57942, 103, 108602, 30512, 43240, 47884, 96412, 104004, 90962, 106696, 9174, 72406, 121, 34208, 121496, 57942, 103, 108602, 107809, 72661, 13177, 16325, 109349, 244, 121496, 57942, 103, 108602, 118587, 43240, 47884, 96412, 64121, 5486, 47260, 44971, 106826, 42634, 64178, 120938, 123716, 30512, 126128, 44416, 15024, 45736, 104473, 121819, 103911, 103181, 5486, 124807, 76739, 67075, 8239, 114503, 5486, 103048, 115075, 48634, 122060, 5486, 108324, 115686, 8239, 114503, 5486, 108324, 108602, 33208, 113266, 123160, 8239, 114503, 9458, 126120, 27327, 107407, 19732, 116216, 61689, 9174, 53900, 108948, 40526, 20251, 32131, 112193, 103911, 103181, 5486, 127480, 16144, 103927, 124958, 78683, 94550, 8239, 114503, 5486, 105791, 16144, 58666, 37729, 8239, 114503, 64209, 26274, 241, 16144, 113614, 115079, 104195, 123160, 8239, 114503, 32977, 125494, 125545, 9174, 104754, 15682, 102456, 104654, 102052, 124490, 32149, 72342, 100604, 102944, 38641, 1811, 64121, 26854, 98369, 32977, 103572, 38574, 16144, 102456, 30926, 16556, 17905, 124475, 19732, 31431, 17701, 106824, 108948, 26854, 32149, 107809, 55031, 113614, 30512, 30832, 64467, 103801, 109954, 6447, 128001, 128000, 827, 356, 65652, 47717, 15217, 220, 679, 15, 10110, 2152, 31826, 220, 679, 15, 7705, 44971, 121057, 198, 102208, 61337, 29295, 121298, 110745, 106045, 54872, 110191, 118372, 114567, 16144, 66953, 48552, 76739, 102860, 16144, 109243, 28741, 198, 119526, 102832, 61398, 103768, 11883, 71289, 76171, 52591, 32131, 106391, 113638, 16144, 101335, 65299, 102040, 65299, 1811, 125175, 30512, 46456, 105262, 53283, 122393, 19732, 49792, 101908, 198, 23, 9953, 2148, 9080, 105755, 24, 9953, 17, 9080, 103296, 87447, 113497, 103646, 114567, 122401, 30046, 70141, 76622, 71493, 16073, 104774, 44971, 107446, 13177, 2152, 31826, 220, 679, 15, 126557, 89408, 16144, 66378, 17599, 112, 103306, 102741, 38248, 115, 68581, 33710, 39276, 30512, 96412, 104004, 118823, 102756, 105048, 97518, 89046, 16144, 64810, 26269, 104272, 29295, 105843, 103350, 107113, 105908, 123680, 102639, 110071, 1811, 16325, 72661, 51330, 105933, 101513, 38093, 16556, 123207, 121143, 43240, 20230, 104655, 47884, 100909, 16144, 118765, 5486, 110191, 118372, 114567, 16144, 66953, 48552, 76739, 102860, 109853, 16144, 87177, 104482, 32977, 119515, 105469, 115287, 9174, 22656, 83932, 77181, 102741, 38248, 115, 68581, 33710, 114567, 71289, 110191, 118372, 114567, 16144, 76171, 52591, 32131, 104856, 103836, 66953, 48552, 76739, 102860, 123141, 109853, 16144, 114341, 102446, 30512, 109242, 9039, 70563, 48552, 122060, 39926, 33334, 109948, 76622, 119607, 1811, 102741, 38248, 115, 68581, 33710, 114567, 16144, 105330, 103306, 53283, 110071, 99662, 5486, 111044, 108285, 16995, 106901, 16073, 114615, 110191, 118372, 114567, 30512, 46034, 115856, 105784, 64810, 102472, 1811, 110999, 16144, 108901, 109020, 106901, 16073, 33710, 16556, 125175, 30512, 104908, 103792, 102208, 61337, 16144, 108048, 108422, 33121, 16144, 46034, 25333, 20230, 26130, 30832, 56051, 16995, 9174, 47774, 120795, 38248, 115, 68581, 33710, 114567, 15682, 5486, 119526, 102832, 61398, 110792, 102669, 16995, 17424, 99662, 16144, 114341, 102446, 105755, 198, 91, 99662, 18655, 126233, 107734, 116043, 23039, 107734, 102351, 1182, 46, 5486, 105635, 22656, 89151, 111398, 105514, 198, 91, 99662, 126250, 66953, 48552, 76739, 102860, 126913, 76739, 123581, 114676, 30512, 102781, 109315, 5486, 115079, 58911, 34208, 106515, 105514, 198, 91, 99662, 16144, 125175, 106391, 13153, 198, 91, 102741, 38248, 115, 68581, 33710, 114567, 113245, 66953, 48552, 76739, 102860, 106391, 13153, 1811, 119526, 102832, 61398, 60868, 112164, 115247, 103672, 127764, 102750, 48552, 50338, 33420, 29295, 62903, 102494, 117282, 198, 126843, 48154, 126362, 54926, 104468, 13177, 27384, 106045, 54872, 102741, 38248, 115, 68581, 33710, 114567, 16144, 59739, 47884, 31431, 32149, 28713, 21909, 1399, 17620, 16556, 78183, 117295, 60868, 112164, 38248, 113, 114265, 112113, 21909, 10646, 19732, 104482, 54926, 64810, 26269, 104272, 1811, 117409, 27384, 46034, 16144, 50, 2507, 13177, 99662, 118587, 103768, 112167, 54926, 121450, 99662, 16144, 1182, 46, 105635, 22656, 89151, 111398, 105514, 5486, 76739, 123581, 114676, 115079, 58911, 34208, 106515, 105514, 29295, 29741, 45826, 229, 15024, 5486, 102741, 38248, 115, 68581, 33710, 114567, 16144, 66953, 48552, 76739, 102860, 109853, 16144, 101335, 65299, 102040, 65299, 29295, 24326, 104, 105651, 103646, 9174, 99662, 77181, 50, 2507, 125175, 30512, 104908, 112990, 115963, 20230, 43240, 9039, 16144, 102741, 38248, 115, 68581, 33710, 114567, 16144, 104908, 32977, 23039, 26854, 103836, 1811, 105635, 22656, 105514, 16144, 126362, 103732, 104984, 5486, 679, 15, 8107, 21, 9953, 39177, 28542, 16144, 38093, 102351, 9039, 15682, 17, 11, 27033, 32307, 17792, 5486, 9953, 56965, 18520, 117913, 5486, 16, 9080, 806, 117913, 16144, 122481, 91482, 109496, 30512, 5877, 102, 50834, 121406, 1811, 108152, 38248, 114, 115247, 112366, 115963, 30177, 106307, 9039, 15682, 605, 11, 931, 71689, 5486, 9039, 103633, 55038, 16144, 60868, 112164, 11972, 16556, 115274, 15, 13, 17, 47018, 16144, 108744, 89154, 16073, 105335, 25197, 91062, 30512, 104067, 13153, 103792, 102677, 9174, 106307, 102532, 115079, 58911, 105514, 29295, 102741, 38248, 115, 68581, 33710, 114567, 16144, 106624, 64121, 109853, 50338, 108323, 1811, 108008, 20230, 106045, 54872, 99750, 16144, 101182, 83799, 16556, 104908, 110731, 102741, 38248, 115, 68581, 33710, 114567, 109846, 5486, 60868, 112164, 11972, 106391, 13153, 16144, 108729, 126067, 15682, 108936, 109904, 109713, 107271, 108941, 11972, 70141, 76622, 110191, 118372, 114567, 19732, 102717, 109416, 112361, 1811, 29220, 102803, 39880, 52414, 29295, 111234, 52884, 110101, 65299, 103988, 115717, 5486, 114567, 60868, 112164, 11972, 29295, 111234, 52884, 60868, 112164, 11972, 110276, 102677, 83799, 36785, 9174, 58426, 16325, 16556, 122074, 112535, 108901, 109020, 104468, 5486, 118597, 16144, 44915, 36785, 1811, 108936, 109904, 110191, 118372, 114567, 77181, 101544, 16995, 64810, 26269, 104272, 107809, 16556, 118597, 29295, 66776, 42016, 23538, 120650, 26854, 126832, 100909, 113115, 15024, 5486, 102741, 38248, 115, 68581, 33710, 114567, 15682, 108936, 112535, 16, 64810, 26269, 104272, 29295, 48154, 47884, 106649, 47884, 36896, 37823, 29220, 76739, 71634, 52118, 75293, 101513, 52118, 106608, 103899, 66383, 95604, 83799, 16556, 42016, 23538, 39926, 47406, 102971, 54926, 1811, 6109, 110101, 65299, 103988, 113245, 103350, 23039, 30512, 25580, 29172, 117408, 55031, 22957, 58426, 66378, 34171, 109846, 108048, 106644, 58942, 102741, 38248, 115, 68581, 33710, 114567, 15682, 27384, 106045, 54872, 112169, 102416, 22398, 102663, 64178, 15024, 126172, 16995, 1811, 6109, 60868, 112164, 11972, 30512, 115079, 71289, 15024, 115132, 122086, 22398, 30512, 17620, 107471, 126693, 103424, 102334, 62004, 36785, 9174, 80673, 5486, 110924, 102052, 111098, 76622, 29295, 106956, 103672, 127764, 102750, 48552, 107407, 1811, 102741, 38248, 115, 68581, 33710, 114567, 77181, 16, 64810, 26269, 104272, 29295, 106649, 47884, 5486, 29220, 102803, 39880, 52414, 110366, 20230, 108134, 29295, 101544, 23538, 112535, 118551, 84389, 100604, 113637, 103846, 108134, 15682, 108729, 112535, 60868, 112164, 11972, 110366, 16556, 40053, 20230, 47585, 121894, 116446, 33334, 47884, 109215, 115991, 115132, 122086, 22398, 107407, 28713, 102802, 20230, 121410, 18904, 5486, 119526, 102832, 61398, 117758, 98499, 64121, 121216, 19732, 51107, 29295, 102404, 21990, 54926, 1811, 108895, 39926, 102717, 19732, 124592, 16144, 126465, 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 ]
[ 121, 34208, 121496, 57942, 103, 108602, 66383, 13177, 87109, 72406, 121, 34208, 121496, 57942, 103, 108602, 117503, 25963, 59739, 20230, 17620, 104770, 116216, 61689, 9174, 119448, 47884, 108010, 30297, 104468, 33014, 32943, 16556, 40862, 13153, 108608, 32149, 102677, 100909, 19732, 111476, 91875, 53953, 19732, 124928, 235, 53953, 16144, 67645, 112384, 20230, 43240, 47884, 96412, 17129, 115032, 32149, 102677, 28542, 38641, 9174, 72406, 121, 34208, 121496, 57942, 103, 108602, 198, 72406, 121, 34208, 121496, 57942, 103, 108602, 15682, 33014, 32943, 16556, 19967, 30369, 105908, 103082, 5486, 66953, 47307, 38248, 226, 32131, 65575, 5486, 109022, 121496, 104309, 102083, 100472, 198, 91875, 53953, 34171, 121496, 57942, 103, 20230, 43240, 47884, 96412, 17129, 106824, 61689, 9174, 99046, 224, 18655, 15024, 120195, 104533, 33014, 32943, 16556, 107608, 109709, 5486, 104473, 36651, 116825, 17129, 117063, 30369, 105908, 101182, 103846, 91875, 101171, 230, 110567, 33208, 71289, 64209, 116436, 111694, 123160, 109688, 117126, 34171, 30512, 45736, 109315, 105879, 5486, 99046, 224, 18655, 33857, 102052, 114392, 61633, 29295, 109215, 38641, 9174, 16937, 72406, 121, 34208, 121496, 57942, 103, 108602, 198, 16937, 72406, 121, 34208, 121496, 57942, 103, 108602, 15682, 33014, 32943, 16556, 19967, 102204, 100604, 103846, 111476, 102456, 30926, 104309, 16556, 99046, 224, 18655, 54926, 109215, 115991, 33541, 9174, 118028, 109229, 90962, 106696, 71289, 39880, 68759, 78683, 104754, 104309, 117430, 71289, 115371, 20230, 96412, 123606, 17297, 61304, 16144, 34617, 118821, 118953, 107610, 20230, 17620, 76622, 102204, 33541, 9174, 47774, 90962, 44971, 76171, 108602, 10110, 90962, 39850, 102472, 68093, 23954, 47774, 37823, 101335, 64178, 108602, 10110, 90962, 39850, 102472, 60596, 23954, 47774, 19481, 12, 37823, 101335, 111999, 108602, 10110, 90962, 39850, 102472, 34617, 23954, 108324, 108602, 33208, 113266, 71289, 109161, 106157, 47260, 44971, 106826, 42634, 64178, 30512, 114485, 33503, 17663, 122502, 50834, 115991, 33541, 29295, 5486, 107969, 71289, 101426, 5486, 35894, 95221, 20230, 112294, 102334, 62004, 21601, 107969, 104873, 22649, 102052, 70141, 102532, 33334, 121140, 111476, 45923, 44971, 26269, 57207, 94550, 104309, 117657, 112973, 33334, 125683, 62004, 38641, 9174, 567, 119019, 105284, 26854, 104754, 107118, 95532, 14711, 220, 34617, 5232, 46702, 5232, 34617, 29295, 105310, 35330, 66953, 119930, 10110, 50, 5901, 57106, 8, 29295, 27384, 30926, 198, 13177, 72406, 121, 34208, 121496, 57942, 103, 108602, 59712, 15120, 95001, 16937, 72406, 121, 34208, 121496, 57942, 103, 108602, 59712, 43240, 95001, 16937, 72406, 121, 34208, 121496, 57942, 103, 108602, 118587, 34617, 5232, 46702, 5232, 34617, 16556, 99046, 224, 18655, 54926, 105908, 22649, 101067, 9554, 38641, 9174, 72406, 121, 34208, 121496, 57942, 103, 108602, 10110, 50, 284, 328, 35467, 40085, 13935, 65459, 15120, 95001, 16937, 72406, 121, 34208, 121496, 57942, 103, 108602, 10110, 44, 284, 3206, 60086, 35467, 40085, 13935, 65459, 43240, 95001, 16937, 72406, 121, 34208, 121496, 57942, 103, 108602, 10110, 47, 284, 19294, 653, 1355, 35467, 40085, 13935, 120732, 57106, 96455, 29295, 18, 551, 19, 551, 220, 18, 113637, 55487, 17620, 30512, 50, 5901, 57106, 102083, 61689, 9174, 34617, 5232, 46702, 5232, 34617, 5486, 59739, 109709, 36896, 198, 67645, 33121, 111201, 115598, 30369, 100909, 103470, 66953, 119930, 114652, 66383, 95604, 112973, 51330, 111017, 40862, 55031, 64121, 38144, 19732, 104028, 106046, 61689, 1811, 67645, 16144, 118953, 107610, 32977, 109215, 26854, 104754, 16556, 108048, 108422, 33121, 33014, 102052, 109215, 26854, 15308, 226, 113598, 72238, 38641, 9174, 20713, 118821, 90962, 106696, 122416, 30512, 99046, 224, 30369, 16144, 126194, 5486, 34617, 118953, 107610, 16144, 106691, 109904, 90962, 106696, 30512, 53283, 100472, 17905, 16556, 108048, 108422, 33121, 16144, 90962, 106696, 30512, 43568, 22649, 103470, 99046, 224, 30369, 105908, 27384, 102769, 38641, 9174, 14711, 111830, 42506, 16144, 15308, 121, 107517, 41007, 30512, 116696, 48552, 106609, 114407, 117434, 71289, 116945, 117178, 42506, 20230, 117943, 121140, 20230, 101662, 38144, 109115, 111476, 19361, 101513, 15308, 121, 107517, 10110, 90962, 38248, 105, 122842, 120732, 104754, 119279, 125683, 62004, 38641, 1811, 50034, 33857, 107118, 16995, 58942, 5486, 108618, 104650, 114407, 117434, 112212, 113614, 101307, 104698, 29295, 95221, 108176, 24273, 32977, 127181, 106046, 61689, 9174, 19361, 101513, 15308, 121, 107517, 16556, 101662, 38144, 109115, 53229, 42506, 55031, 118935, 104754, 103646, 104754, 127303, 104984, 5486, 120208, 114652, 33334, 33655, 104712, 90620, 105784, 16144, 111769, 123253, 32149, 9174, 14711, 220, 47585, 37729, 32648, 15682, 30250, 106, 101426, 91482, 16073, 29295, 127066, 198, 104754, 15682, 101426, 71289, 108602, 72238, 113468, 8239, 96, 33208, 54926, 34171, 105284, 115991, 33541, 1811, 47585, 37729, 32648, 15682, 5486, 108950, 31958, 71289, 57326, 112718, 78459, 48552, 126036, 108602, 72238, 30512, 105988, 67075, 39880, 125916, 108608, 30250, 106, 101426, 91482, 16073, 119279, 125683, 62004, 38641, 9174, 102456, 116450, 20230, 115442, 30369, 103296, 16144, 104754, 16144, 8239, 96, 33208, 30512, 32335, 31809, 48249, 20230, 126128, 107290, 120700, 33541, 9174, 33334, 125683, 62004, 16144, 33014, 20230, 126521, 104754, 198, 20713, 59983, 118028, 109229, 90962, 106696, 198, 109161, 106157, 47260, 44971, 106826, 42634, 64178, 114485, 83747, 5486, 91875, 101171, 230, 110567, 33208, 9458, 101171, 111, 124305, 16325, 16144, 103911, 103181, 5486, 108324, 108602, 33208, 113266, 5486, 64531, 101921, 116, 113266, 5486, 122270, 40526, 26274, 255, 103911, 103181, 103296, 122603, 16995, 8239, 114503, 107407, 102083, 126832, 104754, 38641, 9174, 77693, 116749, 105352, 91482, 47307, 101198, 16073, 124606, 9458, 32, 71289, 89154, 37823, 111661, 101335, 64178, 32977, 96412, 104127, 102532, 5486, 120044, 16144, 119455, 103809, 98, 71289, 57207, 101198, 9458, 57207, 102756, 16144, 103911, 103181, 8239, 114503, 104309, 92877, 33208, 30512, 126128, 105262, 58666, 37729, 8239, 114503, 32977, 125494, 125545, 9174, 25963, 59983, 39880, 68759, 78683, 104754, 9458, 76739, 103621, 68759, 104754, 198, 33014, 20230, 109215, 26854, 90962, 39850, 102472, 18, 121496, 57942, 103, 108602, 29295, 119515, 105469, 20230, 96412, 17129, 106824, 61689, 1811, 90962, 39850, 102472, 18, 121496, 57942, 103, 108602, 30512, 43240, 126145, 30369, 118733, 104473, 36651, 29295, 21105, 103, 71289, 32149, 115717, 5486, 104473, 107654, 29295, 22398, 91062, 106240, 20230, 89753, 106824, 103429, 95221, 16144, 103911, 103181, 107294, 105722, 31431, 33541, 9174, 53900, 104398, 112506, 115716, 29295, 115289, 122279, 108176, 103846, 5486, 15308, 226, 113598, 72238, 30512, 22398, 91062, 106240, 20230, 108167, 104526, 104004, 105908, 103082, 5486, 104398, 112506, 15682, 33541, 33541, 24186, 95221, 115717, 58666, 120044, 107294, 105722, 30369, 16144, 38641, 9174, 34617, 59983, 47260, 47260, 96452, 123428, 90962, 106696, 198, 72406, 121, 34208, 121496, 57942, 103, 108602, 30512, 43240, 47884, 96412, 104004, 90962, 106696, 9174, 72406, 121, 34208, 121496, 57942, 103, 108602, 107809, 72661, 13177, 16325, 109349, 244, 121496, 57942, 103, 108602, 118587, 43240, 47884, 96412, 64121, 5486, 47260, 44971, 106826, 42634, 64178, 120938, 123716, 30512, 126128, 44416, 15024, 45736, 104473, 121819, 103911, 103181, 5486, 124807, 76739, 67075, 8239, 114503, 5486, 103048, 115075, 48634, 122060, 5486, 108324, 115686, 8239, 114503, 5486, 108324, 108602, 33208, 113266, 123160, 8239, 114503, 9458, 126120, 27327, 107407, 19732, 116216, 61689, 9174, 53900, 108948, 40526, 20251, 32131, 112193, 103911, 103181, 5486, 127480, 16144, 103927, 124958, 78683, 94550, 8239, 114503, 5486, 105791, 16144, 58666, 37729, 8239, 114503, 64209, 26274, 241, 16144, 113614, 115079, 104195, 123160, 8239, 114503, 32977, 125494, 125545, 9174, 104754, 15682, 102456, 104654, 102052, 124490, 32149, 72342, 100604, 102944, 38641, 1811, 64121, 26854, 98369, 32977, 103572, 38574, 16144, 102456, 30926, 16556, 17905, 124475, 19732, 31431, 17701, 106824, 108948, 26854, 32149, 107809, 55031, 113614, 30512, 30832, 64467, 103801, 109954, 6447, 128001, 128000, 827, 356, 65652, 47717, 15217, 220, 679, 15, 10110, 2152, 31826, 220, 679, 15, 7705, 44971, 121057, 198, 102208, 61337, 29295, 121298, 110745, 106045, 54872, 110191, 118372, 114567, 16144, 66953, 48552, 76739, 102860, 16144, 109243, 28741, 198, 119526, 102832, 61398, 103768, 11883, 71289, 76171, 52591, 32131, 106391, 113638, 16144, 101335, 65299, 102040, 65299, 1811, 125175, 30512, 46456, 105262, 53283, 122393, 19732, 49792, 101908, 198, 23, 9953, 2148, 9080, 105755, 24, 9953, 17, 9080, 103296, 87447, 113497, 103646, 114567, 122401, 30046, 70141, 76622, 71493, 16073, 104774, 44971, 107446, 13177, 2152, 31826, 220, 679, 15, 126557, 89408, 16144, 66378, 17599, 112, 103306, 102741, 38248, 115, 68581, 33710, 39276, 30512, 96412, 104004, 118823, 102756, 105048, 97518, 89046, 16144, 64810, 26269, 104272, 29295, 105843, 103350, 107113, 105908, 123680, 102639, 110071, 1811, 16325, 72661, 51330, 105933, 101513, 38093, 16556, 123207, 121143, 43240, 20230, 104655, 47884, 100909, 16144, 118765, 5486, 110191, 118372, 114567, 16144, 66953, 48552, 76739, 102860, 109853, 16144, 87177, 104482, 32977, 119515, 105469, 115287, 9174, 22656, 83932, 77181, 102741, 38248, 115, 68581, 33710, 114567, 71289, 110191, 118372, 114567, 16144, 76171, 52591, 32131, 104856, 103836, 66953, 48552, 76739, 102860, 123141, 109853, 16144, 114341, 102446, 30512, 109242, 9039, 70563, 48552, 122060, 39926, 33334, 109948, 76622, 119607, 1811, 102741, 38248, 115, 68581, 33710, 114567, 16144, 105330, 103306, 53283, 110071, 99662, 5486, 111044, 108285, 16995, 106901, 16073, 114615, 110191, 118372, 114567, 30512, 46034, 115856, 105784, 64810, 102472, 1811, 110999, 16144, 108901, 109020, 106901, 16073, 33710, 16556, 125175, 30512, 104908, 103792, 102208, 61337, 16144, 108048, 108422, 33121, 16144, 46034, 25333, 20230, 26130, 30832, 56051, 16995, 9174, 47774, 120795, 38248, 115, 68581, 33710, 114567, 15682, 5486, 119526, 102832, 61398, 110792, 102669, 16995, 17424, 99662, 16144, 114341, 102446, 105755, 198, 91, 99662, 18655, 126233, 107734, 116043, 23039, 107734, 102351, 1182, 46, 5486, 105635, 22656, 89151, 111398, 105514, 198, 91, 99662, 126250, 66953, 48552, 76739, 102860, 126913, 76739, 123581, 114676, 30512, 102781, 109315, 5486, 115079, 58911, 34208, 106515, 105514, 198, 91, 99662, 16144, 125175, 106391, 13153, 198, 91, 102741, 38248, 115, 68581, 33710, 114567, 113245, 66953, 48552, 76739, 102860, 106391, 13153, 1811, 119526, 102832, 61398, 60868, 112164, 115247, 103672, 127764, 102750, 48552, 50338, 33420, 29295, 62903, 102494, 117282, 198, 126843, 48154, 126362, 54926, 104468, 13177, 27384, 106045, 54872, 102741, 38248, 115, 68581, 33710, 114567, 16144, 59739, 47884, 31431, 32149, 28713, 21909, 1399, 17620, 16556, 78183, 117295, 60868, 112164, 38248, 113, 114265, 112113, 21909, 10646, 19732, 104482, 54926, 64810, 26269, 104272, 1811, 117409, 27384, 46034, 16144, 50, 2507, 13177, 99662, 118587, 103768, 112167, 54926, 121450, 99662, 16144, 1182, 46, 105635, 22656, 89151, 111398, 105514, 5486, 76739, 123581, 114676, 115079, 58911, 34208, 106515, 105514, 29295, 29741, 45826, 229, 15024, 5486, 102741, 38248, 115, 68581, 33710, 114567, 16144, 66953, 48552, 76739, 102860, 109853, 16144, 101335, 65299, 102040, 65299, 29295, 24326, 104, 105651, 103646, 9174, 99662, 77181, 50, 2507, 125175, 30512, 104908, 112990, 115963, 20230, 43240, 9039, 16144, 102741, 38248, 115, 68581, 33710, 114567, 16144, 104908, 32977, 23039, 26854, 103836, 1811, 105635, 22656, 105514, 16144, 126362, 103732, 104984, 5486, 679, 15, 8107, 21, 9953, 39177, 28542, 16144, 38093, 102351, 9039, 15682, 17, 11, 27033, 32307, 17792, 5486, 9953, 56965, 18520, 117913, 5486, 16, 9080, 806, 117913, 16144, 122481, 91482, 109496, 30512, 5877, 102, 50834, 121406, 1811, 108152, 38248, 114, 115247, 112366, 115963, 30177, 106307, 9039, 15682, 605, 11, 931, 71689, 5486, 9039, 103633, 55038, 16144, 60868, 112164, 11972, 16556, 115274, 15, 13, 17, 47018, 16144, 108744, 89154, 16073, 105335, 25197, 91062, 30512, 104067, 13153, 103792, 102677, 9174, 106307, 102532, 115079, 58911, 105514, 29295, 102741, 38248, 115, 68581, 33710, 114567, 16144, 106624, 64121, 109853, 50338, 108323, 1811, 108008, 20230, 106045, 54872, 99750, 16144, 101182, 83799, 16556, 104908, 110731, 102741, 38248, 115, 68581, 33710, 114567, 109846, 5486, 60868, 112164, 11972, 106391, 13153, 16144, 108729, 126067, 15682, 108936, 109904, 109713, 107271, 108941, 11972, 70141, 76622, 110191, 118372, 114567, 19732, 102717, 109416, 112361, 1811, 29220, 102803, 39880, 52414, 29295, 111234, 52884, 110101, 65299, 103988, 115717, 5486, 114567, 60868, 112164, 11972, 29295, 111234, 52884, 60868, 112164, 11972, 110276, 102677, 83799, 36785, 9174, 58426, 16325, 16556, 122074, 112535, 108901, 109020, 104468, 5486, 118597, 16144, 44915, 36785, 1811, 108936, 109904, 110191, 118372, 114567, 77181, 101544, 16995, 64810, 26269, 104272, 107809, 16556, 118597, 29295, 66776, 42016, 23538, 120650, 26854, 126832, 100909, 113115, 15024, 5486, 102741, 38248, 115, 68581, 33710, 114567, 15682, 108936, 112535, 16, 64810, 26269, 104272, 29295, 48154, 47884, 106649, 47884, 36896, 37823, 29220, 76739, 71634, 52118, 75293, 101513, 52118, 106608, 103899, 66383, 95604, 83799, 16556, 42016, 23538, 39926, 47406, 102971, 54926, 1811, 6109, 110101, 65299, 103988, 113245, 103350, 23039, 30512, 25580, 29172, 117408, 55031, 22957, 58426, 66378, 34171, 109846, 108048, 106644, 58942, 102741, 38248, 115, 68581, 33710, 114567, 15682, 27384, 106045, 54872, 112169, 102416, 22398, 102663, 64178, 15024, 126172, 16995, 1811, 6109, 60868, 112164, 11972, 30512, 115079, 71289, 15024, 115132, 122086, 22398, 30512, 17620, 107471, 126693, 103424, 102334, 62004, 36785, 9174, 80673, 5486, 110924, 102052, 111098, 76622, 29295, 106956, 103672, 127764, 102750, 48552, 107407, 1811, 102741, 38248, 115, 68581, 33710, 114567, 77181, 16, 64810, 26269, 104272, 29295, 106649, 47884, 5486, 29220, 102803, 39880, 52414, 110366, 20230, 108134, 29295, 101544, 23538, 112535, 118551, 84389, 100604, 113637, 103846, 108134, 15682, 108729, 112535, 60868, 112164, 11972, 110366, 16556, 40053, 20230, 47585, 121894, 116446, 33334, 47884, 109215, 115991, 115132, 122086, 22398, 107407, 28713, 102802, 20230, 121410, 18904, 5486, 119526, 102832, 61398, 117758, 98499, 64121, 121216, 19732, 51107, 29295, 102404, 21990, 54926, 1811, 108895, 39926, 102717, 19732, 124592, 16144, 126465, 16556 ]
[ 5486, 32715, 5486, 39850, 102494, 37823, 5486, 118823, 102756, 105048, 126036, 5486, 119526, 102832, 61398, 16144, 103857, 115592, 39880, 122086, 22398, 29295, 61826, 20230, 48249, 98220, 117084, 114732, 102677, 1811, 102741, 38248, 115, 68581, 33710, 114567, 15682, 36896, 9080, 104680, 5486, 103857, 115592, 40, 17991, 30512, 104405, 15017, 234, 47884, 32149, 110792, 102669, 16995, 66383, 112844, 105635, 22656, 105514, 9174, 110924, 16556, 5486, 102741, 38248, 115, 68581, 33710, 114567, 30512, 17905, 46034, 47884, 103768, 112167, 54926, 103846, 102052, 5486, 119526, 102832, 61398, 111363, 109972, 111600, 30512, 103167, 114485, 54926, 5486, 101182, 16995, 15682, 109972, 111600, 30512, 17620, 107471, 54926, 105908, 109215, 117084, 109749, 1811, 105635, 22656, 105514, 15682, 58426, 124122, 105226, 103306, 5486, 7, 16, 8, 44971, 115507, 102663, 38248, 115, 78205, 16073, 113468, 126229, 114363, 11883, 16144, 119526, 102832, 61398, 60868, 112164, 11972, 30512, 115079, 71289, 15024, 5486, 98499, 64121, 121216, 39880, 122086, 117718, 109972, 111600, 30512, 17620, 107471, 54926, 5486, 7, 17, 8, 110191, 39850, 102494, 37823, 104774, 106696, 123141, 16556, 119526, 102832, 61398, 30512, 103768, 11883, 15024, 5486, 103857, 115592, 39880, 122086, 22398, 30512, 103470, 17663, 5486, 7, 18, 8, 39850, 102494, 37823, 107391, 116219, 71289, 5486, 1622, 5273, 9307, 17155, 27142, 8, 19732, 127173, 104028, 103167, 109972, 111600, 16144, 119526, 47585, 123141, 30512, 122756, 30775, 253, 104004, 118733, 103857, 115592, 39880, 122086, 22398, 30512, 114485, 33503, 17663, 5486, 16144, 18, 46034, 25333, 30512, 126362, 56051, 9174, 53900, 5486, 47260, 119263, 78683, 103906, 40452, 30046, 29295, 39850, 127058, 20230, 39850, 64178, 30512, 15120, 7741, 231, 55487, 22023, 54926, 105933, 121432, 109853, 15682, 5486, 117032, 16144, 42016, 23538, 118597, 16556, 9039, 95598, 32307, 108152, 38248, 114, 11972, 29295, 103359, 47523, 104856, 76947, 114732, 19732, 82973, 29295, 32149, 107277, 120195, 38144, 105150, 100990, 119, 39926, 114732, 102677, 1811, 108895, 16995, 100472, 30358, 16995, 117120, 22649, 109853, 15682, 5486, 111234, 52884, 60868, 112164, 115247, 118124, 20230, 13177, 7707, 8588, 66383, 127173, 104028, 5486, 47307, 115592, 30512, 62903, 109496, 76171, 41758, 39926, 66776, 42016, 23538, 117120, 22649, 60868, 112164, 11972, 20230, 111017, 31431, 40265, 38144, 100481, 47884, 123141, 30512, 102332, 22324, 39926, 117271, 109768, 104533, 16144, 100909, 36785, 9174, 51330, 102717, 32149, 105635, 22656, 105514, 15682, 5486, 119526, 102832, 61398, 60868, 112164, 11972, 29295, 99959, 115691, 56051, 104983, 16144, 103359, 117120, 30512, 125175, 30512, 122434, 54926, 100909, 103470, 23039, 26854, 30297, 41007, 71289, 5486, 112599, 16144, 125175, 16556, 107740, 103792, 102741, 112508, 111234, 39880, 109853, 104309, 5486, 103350, 124299, 109904, 101335, 65299, 102040, 65299, 30512, 111044, 108285, 47884, 126362, 56051, 127211, 106045, 54872, 20230, 104908, 107001, 102741, 38248, 115, 68581, 33710, 114567, 30512, 16995, 111201, 83747, 17792, 9039, 16556, 126120, 96455, 114652, 103768, 112167, 54926, 32149, 1811, 110924, 102052, 6109, 60868, 112164, 11972, 5486, 119526, 102832, 61398, 5486, 102208, 104091, 16144, 102741, 37823, 72369, 38248, 115, 78205, 16073, 55031, 109020, 13177, 80805, 78525, 33710, 118587, 50338, 47884, 105933, 28190, 101828, 30813, 122291, 9174, 91, 115079, 58911, 105514, 15682, 5486, 40198, 239, 108010, 117714, 122401, 112919, 113009, 109713, 107271, 108941, 11972, 70141, 76622, 110191, 118372, 114567, 19732, 102741, 38248, 115, 68581, 33710, 114567, 16144, 123141, 16144, 121953, 109853, 104257, 121370, 20230, 50338, 108323, 30512, 21601, 107800, 198, 91, 105635, 22656, 105514, 15682, 119526, 102832, 61398, 60868, 112164, 115247, 109972, 111600, 30512, 117355, 114485, 54926, 102208, 104091, 16144, 57933, 29220, 122842, 30512, 50338, 108323, 1811, 110382, 16556, 126362, 103646, 122617, 16144, 41007, 30512, 85701, 103296, 76706, 11883, 39926, 105898, 102677, 198, 91, 109972, 111600, 117355, 114485, 16144, 118789, 109904, 41007, 109853, 198, 91, 125175, 122434, 54926, 100909, 103470, 108502, 104698, 29295, 102404, 21990, 56051, 119526, 102832, 61398, 60868, 112164, 11972, 30512, 39209, 109033, 54926, 46034, 110480, 1811, 40053, 39177, 105755, 109242, 9039, 16144, 37823, 115507, 102663, 38248, 115, 78205, 16073, 30512, 11883, 37689, 39926, 33334, 47884, 109215, 107407, 29295, 5486, 30297, 17129, 16995, 41007, 36785, 198, 47774, 110045, 108337, 120690, 16144, 118124, 110366, 16556, 5486, 47260, 71634, 110792, 102669, 16995, 30512, 103721, 108, 31431, 108285, 102639, 30369, 64810, 102472, 16144, 76171, 52591, 32131, 124180, 198, 91, 114341, 102446, 117824, 26854, 100472, 103478, 83799, 105514, 1811, 76171, 52591, 32131, 126913, 16144, 102769, 103350, 26854, 114284, 30512, 104526, 107436, 22398, 70563, 113335, 56051, 198, 91, 95543, 105242, 30512, 110008, 30813, 100604, 108323, 50928, 48634, 198, 13177, 110191, 118372, 114567, 16144, 76171, 52591, 32131, 106391, 113638, 66383, 104482, 54926, 64810, 26269, 104272, 77181, 5486, 105755, 102040, 65575, 111234, 39880, 108385, 111331, 87177, 104482, 29295, 77413, 87447, 56051, 1811, 114341, 102446, 117824, 26854, 100472, 104468, 64810, 102472, 16144, 118823, 102756, 105048, 103768, 112167, 34048, 5486, 112113, 124180, 20230, 125151, 54926, 103478, 83799, 107129, 58666, 105514, 9174, 103478, 83799, 105514, 15682, 13177, 104774, 114483, 57207, 61398, 102514, 10646, 114971, 36896, 107420, 102212, 79059, 124180, 116825, 47884, 103950, 110191, 118372, 10646, 36896, 41, 37823, 38248, 108, 107420, 60868, 26269, 71493, 105048, 32131, 52884, 116825, 47884, 103950, 110191, 118372, 10646, 114950, 64810, 102472, 16144, 110191, 118372, 47307, 78983, 33710, 30512, 46456, 105262, 5486, 60868, 112164, 11972, 76171, 52591, 32131, 16144, 106391, 113638, 30512, 126913, 103792, 109807, 43511, 105352, 6109, 116229, 16144, 60868, 112164, 11972, 106391, 113638, 32977, 126913, 54926, 104309, 124563, 107188, 32149, 111044, 108285, 47884, 120988, 78183, 103836, 103826, 45829, 36785, 9174, 103478, 83799, 105514, 103732, 104533, 5486, 64810, 102472, 16144, 110191, 118372, 114567, 30512, 103768, 11883, 54926, 124122, 60868, 112164, 11972, 76171, 52591, 32131, 20230, 32018, 62004, 110071, 77195, 15682, 33671, 16144, 121640, 1811, 8107, 16325, 43568, 105677, 16556, 24615, 120, 122502, 15024, 115132, 122131, 114567, 32977, 101182, 100909, 55031, 103167, 30250, 227, 109337, 103195, 105908, 109215, 1811, 114567, 80805, 108981, 50667, 16144, 99959, 115691, 42634, 65575, 29295, 40053, 39177, 102404, 21990, 54926, 103846, 23187, 40053, 112535, 1049, 21909, 3101, 87242, 16144, 115351, 103438, 30512, 38129, 54926, 1811, 47307, 78983, 114615, 37823, 37823, 61398, 71289, 122060, 68408, 84477, 126101, 21990, 101860, 30369, 106649, 23538, 43167, 105363, 26854, 108436, 37705, 33857, 115079, 27384, 111363, 117271, 32977, 109215, 16556, 121453, 106045, 47307, 78983, 33710, 50667, 16144, 113009, 26955, 94, 105714, 34171, 32977, 105184, 33563, 1811, 125559, 111363, 125175, 32977, 23039, 26854, 103836, 103846, 125559, 70141, 76622, 16144, 76171, 52591, 32131, 32977, 78698, 101557, 106, 21105, 103, 118145, 105110, 100604, 9174, 102083, 100472, 77195, 30512, 112624, 28713, 17663, 76171, 52591, 32131, 30512, 64531, 104874, 54926, 112973, 103478, 83799, 105514, 33503, 112113, 124180, 16144, 101198, 26269, 104272, 109846, 114318, 112649, 47884, 17905, 126328, 13177, 51385, 47884, 39926, 101832, 0, 10646, 112028, 28542, 105714, 31431, 16556, 5486, 40053, 20230, 47260, 71634, 110792, 102669, 16995, 30512, 103721, 108, 31431, 108285, 102639, 100934, 102677, 1811, 105184, 32149, 107898, 35330, 119707, 118145, 105321, 19732, 107188, 30369, 29295, 108048, 77181, 33122, 105525, 29295, 13153, 31431, 80195, 28713, 100604, 102677, 113334, 36785, 1811, 110924, 16556, 108729, 15682, 103478, 83799, 105514, 29295, 13177, 102663, 78459, 102663, 78459, 9458, 76171, 52591, 32131, 106391, 113638, 66383, 105324, 104369, 115981, 48864, 20230, 75146, 109669, 47884, 100909, 108176, 9174, 47260, 71634, 30512, 17297, 102639, 30369, 17905, 16556, 107693, 117282, 102677, 112973, 76171, 52591, 32131, 16144, 24615, 120, 122502, 96455, 113637, 28542, 16556, 103478, 83799, 105514, 15682, 27384, 124533, 26854, 111017, 31431, 125174, 30512, 103792, 1811, 118148, 47884, 13177, 114567, 29295, 82533, 17129, 114598, 116537, 102625, 26854, 100604, 126557, 48249, 31431, 103470, 1041, 4, 16144, 24615, 120, 122502, 96455, 30512, 30832, 64467, 72342, 81219, 27384, 112495, 47260, 71634, 29295, 32149, 126469, 114732, 103846, 5486, 116773, 107290, 57207, 108969, 33710, 26854, 106391, 13153, 117657, 118733, 20251, 32131, 112193, 125344, 117271, 30512, 112825, 110904, 20230, 103792, 1811, 123141, 16144, 13828, 245, 101544, 33208, 32977, 102717, 109416, 32335, 103167, 48249, 109900, 72661, 8107, 56965, 24615, 120, 122502, 96455, 1484, 13, 5500, 4, 120264, 16144, 24615, 120, 122502, 96455, 30512, 104067, 13153, 103792, 102131, 16556, 5486, 43568, 22649, 20230, 77693, 71689, 30512, 32018, 109315, 109335, 109768, 100604, 102677, 100909, 16144, 101200, 36785, 9174, 106307, 107441, 103478, 83799, 105514, 15682, 13177, 60868, 113649, 117718, 108729, 89154, 37823, 120404, 114016, 36785, 102334, 16995, 100990, 118, 114758, 30926, 38641, 1811, 86348, 80631, 100, 18259, 237, 29295, 109161, 16995, 116233, 66383, 13828, 245, 111813, 62004, 32149, 39926, 109177, 30512, 118328, 50834, 59739, 59739, 32977, 5486, 48249, 109115, 47260, 71634, 107809, 16556, 16995, 111201, 102321, 103350, 109904, 76171, 52591, 32131, 30512, 106391, 113638, 54926, 32149, 106116, 101335, 65299, 102040, 65299, 109853, 87177, 30512, 103130, 62004, 100481, 100472, 9174, 60868, 112164, 11972, 113404, 121960, 15682, 122401, 34048, 113112, 9458, 108695, 16144, 121953, 5486, 126913, 112919, 121953, 5486, 122401, 39177, 23538, 5486, 125175, 44915, 102083, 100472, 102208, 104091, 16144, 121953, 113468, 86348, 108010, 30297, 113404, 117084, 114732, 102677, 118844, 15682, 76171, 52591, 32131, 126913, 30046, 102052, 120019, 26854, 109972, 106529, 117084, 114732, 101200, 16556, 5486, 103478, 83799, 105514, 15682, 13177, 103927, 52414, 53508, 246, 13870, 223, 39926, 72315, 66383, 89046, 102404, 118844, 102052, 38093, 75267, 16144, 36735, 112, 114341, 30046, 32977, 5486, 120351, 17620, 16144, 55999, 99750, 19732, 42016, 40474, 30512, 39209, 107800, 107202, 49838, 30512, 108493, 100204, 58942, 104435, 101200, 36785, 9174, 9458, 103350, 30590, 20230, 21990, 32149, 107001, 5486, 106613, 111186, 20230, 48864, 102189, 101335, 65299, 102040, 65299, 198, 91, 101721, 48634, 16144, 21403, 232, 114485, 41007, 1811, 30590, 45893, 20230, 101198, 78683, 68759, 91062, 121930, 30512, 103350, 124299, 198, 91, 102987, 106145, 26854, 80805, 108526, 108941, 107446, 109606, 15682, 5486, 119045, 112535, 102741, 112508, 110366, 20230, 109606, 107407, 105908, 43240, 47884, 5486, 102040, 65575, 111234, 39880, 115079, 104195, 16556, 50338, 104662, 118765, 115789, 101182, 102677, 198, 91, 64810, 102472, 16144, 118823, 102756, 105048, 76171, 52591, 32131, 16144, 106391, 13153, 1811, 47260, 71634, 103359, 105226, 71289, 13828, 245, 101544, 34171, 16144, 105184, 33563, 16144, 103846, 37026, 25580, 16556, 33, 25434, 30512, 40452, 1811, 109242, 9039, 16144, 56606, 20230, 30177, 106307, 103792, 198, 117876, 16144, 114940, 33857, 29295, 110008, 107001, 119318, 116310, 103306, 102040, 65575, 111234, 39880, 16144, 102647, 23187, 71289, 118823, 102756, 105048, 113404, 120264, 67016, 100604, 102677, 76171, 52591, 32131, 124180, 109846, 114318, 31431, 30591, 58942, 101860, 58426, 119318, 116310, 32943, 16556, 71289, 104028, 100909, 103306, 13177, 33420, 106382, 101721, 48634, 16144, 21403, 232, 114485, 118587, 123680, 102639, 100934, 1811, 101721, 123457, 114485, 117063, 81219, 118359, 30591, 28713, 111331, 60868, 112164, 11972, 55038, 9039, 29295, 115079, 71289, 127397, 8107, 56965, 9039, 102718, 110743, 16144, 107792, 103664, 108176, 115789, 118855, 101721, 95221, 31640, 3484, 28359, 95598, 110743, 102677, 106045, 54872, 113245, 47260, 71634, 21403, 232, 114485, 107294, 105722, 30369, 102677, 9174, 61056, 107969, 113468, 60868, 112164, 11972, 29295, 127258, 104028, 102677, 20251, 32131, 112193, 16144, 21403, 232, 114485, 105352, 109020, 1811, 103350, 104983, 20230, 105693, 20251, 32131, 112193, 103306, 15682, 5486, 108936, 109904, 76171, 52591, 32131, 106391, 113638, 16556, 53508, 100, 62004, 110071, 83799, 16144, 110674, 22398, 25197, 108981, 94550, 102040, 52884, 30512, 118359, 16144, 32335, 17905, 38574, 20230, 102332, 22324, 107113, 110229, 5486, 60868, 112164, 115247, 61056, 107969, 29295, 86348, 43167, 17129, 76947, 50834, 38144, 22398, 25197, 108981, 29295, 107059, 116219, 15024, 106116, 118359, 16144, 118597, 29295, 37087, 121143, 39926, 114604, 105908, 101182, 102677, 66327, 22398, 25197, 108981, 15682, 16, 87217, 17297, 20230, 22324, 47884, 106592, 90962, 22398, 22398, 39850, 78434, 66383, 103478, 83799, 105514, 9174, 53900, 5486, 110191, 118372, 114567, 125175, 16556, 59614, 101860, 109606, 108176, 80805, 108526, 108941, 107446, 109853, 32977, 28190, 101828, 16995, 53283, 91774, 122291, 1811, 117032, 15682, 118463, 29295, 102780, 31431, 123207, 102040, 65575, 116155, 16556, 105321, 19732, 107188, 104533, 78698, 105262, 102944, 109846, 5486, 103350, 104983, 15682, 77693, 16556, 50338, 104662, 103082, 28713, 106081, 21105, 234, 100604, 5486, 106956, 100481, 15682, 102741, 112508, 110366, 20230, 109606, 107407, 105908, 127181, 105272, 102677, 9174, 101182, 27452, 77181, 5486, 122401, 124180, 16144, 32018, 109315, 110674, 102040, 65575, 30512, 116155, 56051, 123680, 106808, 5486, 111571, 103397, 15682, 109161, 33208, 112028, 108968, 30512, 16205, 123, 100472, 1811, 122270, 102040, 65575, 30512, 116155, 39926, 14382, 19732, 71289, 103836, 122756, 123334, 29295, 38144, 102741, 112508, 110366, 16144, 23951, 37656, 16556, 109606, 29295, 108740, 112535, 50338, 33420, 109807, 112661, 56965, 55031, 122333, 16144, 102040, 65575, 111234, 39880, 29295, 89783, 76947, 114732, 102677, 113702, 20230, 66327, 104405, 17663, 102189, 57980, 51330, 60868, 112164, 11972, 14382, 10646, 19732, 109177, 30512, 118328, 47884, 103826, 45829, 20230, 5486, 38093, 75267, 32977, 27384, 108947, 49838, 36785, 9174, 58426, 100927, 120117, 103306, 5486, 114567, 16144, 37823, 37823, 61398, 112772, 13177, 108152, 38248, 114, 11972, 123120, 30512, 54872, 101658, 105, 54926, 57207, 96452, 37823, 90962, 57933, 71634, 30512, 21105, 96, 107277, 109134, 105908, 109215, 66383, 95604, 103478, 83799, 105514, 119520, 102321, 103397, 103306, 15682, 108948, 75694, 26854, 31431, 115717, 126172, 47884, 5486, 112599, 32977, 33334, 75694, 26854, 31431, 95221, 103868, 36785, 102677, 1811, 57207, 96452, 37823, 90962, 57933, 71634, 16144, 103846, 102052, 37087, 123141, 29295, 61648, 72342, 101832, 81219 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 32715, 5486, 39850, 102494, 37823, 5486, 118823, 102756, 105048, 126036, 5486, 119526, 102832, 61398, 16144, 103857, 115592, 39880, 122086, 22398, 29295, 61826, 20230, 48249, 98220, 117084, 114732, 102677, 1811, 102741, 38248, 115, 68581, 33710, 114567, 15682, 36896, 9080, 104680, 5486, 103857, 115592, 40, 17991, 30512, 104405, 15017, 234, 47884, 32149, 110792, 102669, 16995, 66383, 112844, 105635, 22656, 105514, 9174, 110924, 16556, 5486, 102741, 38248, 115, 68581, 33710, 114567, 30512, 17905, 46034, 47884, 103768, 112167, 54926, 103846, 102052, 5486, 119526, 102832, 61398, 111363, 109972, 111600, 30512, 103167, 114485, 54926, 5486, 101182, 16995, 15682, 109972, 111600, 30512, 17620, 107471, 54926, 105908, 109215, 117084, 109749, 1811, 105635, 22656, 105514, 15682, 58426, 124122, 105226, 103306, 5486, 7, 16, 8, 44971, 115507, 102663, 38248, 115, 78205, 16073, 113468, 126229, 114363, 11883, 16144, 119526, 102832, 61398, 60868, 112164, 11972, 30512, 115079, 71289, 15024, 5486, 98499, 64121, 121216, 39880, 122086, 117718, 109972, 111600, 30512, 17620, 107471, 54926, 5486, 7, 17, 8, 110191, 39850, 102494, 37823, 104774, 106696, 123141, 16556, 119526, 102832, 61398, 30512, 103768, 11883, 15024, 5486, 103857, 115592, 39880, 122086, 22398, 30512, 103470, 17663, 5486, 7, 18, 8, 39850, 102494, 37823, 107391, 116219, 71289, 5486, 1622, 5273, 9307, 17155, 27142, 8, 19732, 127173, 104028, 103167, 109972, 111600, 16144, 119526, 47585, 123141, 30512, 122756, 30775, 253, 104004, 118733, 103857, 115592, 39880, 122086, 22398, 30512, 114485, 33503, 17663, 5486, 16144, 18, 46034, 25333, 30512, 126362, 56051, 9174, 53900, 5486, 47260, 119263, 78683, 103906, 40452, 30046, 29295, 39850, 127058, 20230, 39850, 64178, 30512, 15120, 7741, 231, 55487, 22023, 54926, 105933, 121432, 109853, 15682, 5486, 117032, 16144, 42016, 23538, 118597, 16556, 9039, 95598, 32307, 108152, 38248, 114, 11972, 29295, 103359, 47523, 104856, 76947, 114732, 19732, 82973, 29295, 32149, 107277, 120195, 38144, 105150, 100990, 119, 39926, 114732, 102677, 1811, 108895, 16995, 100472, 30358, 16995, 117120, 22649, 109853, 15682, 5486, 111234, 52884, 60868, 112164, 115247, 118124, 20230, 13177, 7707, 8588, 66383, 127173, 104028, 5486, 47307, 115592, 30512, 62903, 109496, 76171, 41758, 39926, 66776, 42016, 23538, 117120, 22649, 60868, 112164, 11972, 20230, 111017, 31431, 40265, 38144, 100481, 47884, 123141, 30512, 102332, 22324, 39926, 117271, 109768, 104533, 16144, 100909, 36785, 9174, 51330, 102717, 32149, 105635, 22656, 105514, 15682, 5486, 119526, 102832, 61398, 60868, 112164, 11972, 29295, 99959, 115691, 56051, 104983, 16144, 103359, 117120, 30512, 125175, 30512, 122434, 54926, 100909, 103470, 23039, 26854, 30297, 41007, 71289, 5486, 112599, 16144, 125175, 16556, 107740, 103792, 102741, 112508, 111234, 39880, 109853, 104309, 5486, 103350, 124299, 109904, 101335, 65299, 102040, 65299, 30512, 111044, 108285, 47884, 126362, 56051, 127211, 106045, 54872, 20230, 104908, 107001, 102741, 38248, 115, 68581, 33710, 114567, 30512, 16995, 111201, 83747, 17792, 9039, 16556, 126120, 96455, 114652, 103768, 112167, 54926, 32149, 1811, 110924, 102052, 6109, 60868, 112164, 11972, 5486, 119526, 102832, 61398, 5486, 102208, 104091, 16144, 102741, 37823, 72369, 38248, 115, 78205, 16073, 55031, 109020, 13177, 80805, 78525, 33710, 118587, 50338, 47884, 105933, 28190, 101828, 30813, 122291, 9174, 91, 115079, 58911, 105514, 15682, 5486, 40198, 239, 108010, 117714, 122401, 112919, 113009, 109713, 107271, 108941, 11972, 70141, 76622, 110191, 118372, 114567, 19732, 102741, 38248, 115, 68581, 33710, 114567, 16144, 123141, 16144, 121953, 109853, 104257, 121370, 20230, 50338, 108323, 30512, 21601, 107800, 198, 91, 105635, 22656, 105514, 15682, 119526, 102832, 61398, 60868, 112164, 115247, 109972, 111600, 30512, 117355, 114485, 54926, 102208, 104091, 16144, 57933, 29220, 122842, 30512, 50338, 108323, 1811, 110382, 16556, 126362, 103646, 122617, 16144, 41007, 30512, 85701, 103296, 76706, 11883, 39926, 105898, 102677, 198, 91, 109972, 111600, 117355, 114485, 16144, 118789, 109904, 41007, 109853, 198, 91, 125175, 122434, 54926, 100909, 103470, 108502, 104698, 29295, 102404, 21990, 56051, 119526, 102832, 61398, 60868, 112164, 11972, 30512, 39209, 109033, 54926, 46034, 110480, 1811, 40053, 39177, 105755, 109242, 9039, 16144, 37823, 115507, 102663, 38248, 115, 78205, 16073, 30512, 11883, 37689, 39926, 33334, 47884, 109215, 107407, 29295, 5486, 30297, 17129, 16995, 41007, 36785, 198, 47774, 110045, 108337, 120690, 16144, 118124, 110366, 16556, 5486, 47260, 71634, 110792, 102669, 16995, 30512, 103721, 108, 31431, 108285, 102639, 30369, 64810, 102472, 16144, 76171, 52591, 32131, 124180, 198, 91, 114341, 102446, 117824, 26854, 100472, 103478, 83799, 105514, 1811, 76171, 52591, 32131, 126913, 16144, 102769, 103350, 26854, 114284, 30512, 104526, 107436, 22398, 70563, 113335, 56051, 198, 91, 95543, 105242, 30512, 110008, 30813, 100604, 108323, 50928, 48634, 198, 13177, 110191, 118372, 114567, 16144, 76171, 52591, 32131, 106391, 113638, 66383, 104482, 54926, 64810, 26269, 104272, 77181, 5486, 105755, 102040, 65575, 111234, 39880, 108385, 111331, 87177, 104482, 29295, 77413, 87447, 56051, 1811, 114341, 102446, 117824, 26854, 100472, 104468, 64810, 102472, 16144, 118823, 102756, 105048, 103768, 112167, 34048, 5486, 112113, 124180, 20230, 125151, 54926, 103478, 83799, 107129, 58666, 105514, 9174, 103478, 83799, 105514, 15682, 13177, 104774, 114483, 57207, 61398, 102514, 10646, 114971, 36896, 107420, 102212, 79059, 124180, 116825, 47884, 103950, 110191, 118372, 10646, 36896, 41, 37823, 38248, 108, 107420, 60868, 26269, 71493, 105048, 32131, 52884, 116825, 47884, 103950, 110191, 118372, 10646, 114950, 64810, 102472, 16144, 110191, 118372, 47307, 78983, 33710, 30512, 46456, 105262, 5486, 60868, 112164, 11972, 76171, 52591, 32131, 16144, 106391, 113638, 30512, 126913, 103792, 109807, 43511, 105352, 6109, 116229, 16144, 60868, 112164, 11972, 106391, 113638, 32977, 126913, 54926, 104309, 124563, 107188, 32149, 111044, 108285, 47884, 120988, 78183, 103836, 103826, 45829, 36785, 9174, 103478, 83799, 105514, 103732, 104533, 5486, 64810, 102472, 16144, 110191, 118372, 114567, 30512, 103768, 11883, 54926, 124122, 60868, 112164, 11972, 76171, 52591, 32131, 20230, 32018, 62004, 110071, 77195, 15682, 33671, 16144, 121640, 1811, 8107, 16325, 43568, 105677, 16556, 24615, 120, 122502, 15024, 115132, 122131, 114567, 32977, 101182, 100909, 55031, 103167, 30250, 227, 109337, 103195, 105908, 109215, 1811, 114567, 80805, 108981, 50667, 16144, 99959, 115691, 42634, 65575, 29295, 40053, 39177, 102404, 21990, 54926, 103846, 23187, 40053, 112535, 1049, 21909, 3101, 87242, 16144, 115351, 103438, 30512, 38129, 54926, 1811, 47307, 78983, 114615, 37823, 37823, 61398, 71289, 122060, 68408, 84477, 126101, 21990, 101860, 30369, 106649, 23538, 43167, 105363, 26854, 108436, 37705, 33857, 115079, 27384, 111363, 117271, 32977, 109215, 16556, 121453, 106045, 47307, 78983, 33710, 50667, 16144, 113009, 26955, 94, 105714, 34171, 32977, 105184, 33563, 1811, 125559, 111363, 125175, 32977, 23039, 26854, 103836, 103846, 125559, 70141, 76622, 16144, 76171, 52591, 32131, 32977, 78698, 101557, 106, 21105, 103, 118145, 105110, 100604, 9174, 102083, 100472, 77195, 30512, 112624, 28713, 17663, 76171, 52591, 32131, 30512, 64531, 104874, 54926, 112973, 103478, 83799, 105514, 33503, 112113, 124180, 16144, 101198, 26269, 104272, 109846, 114318, 112649, 47884, 17905, 126328, 13177, 51385, 47884, 39926, 101832, 0, 10646, 112028, 28542, 105714, 31431, 16556, 5486, 40053, 20230, 47260, 71634, 110792, 102669, 16995, 30512, 103721, 108, 31431, 108285, 102639, 100934, 102677, 1811, 105184, 32149, 107898, 35330, 119707, 118145, 105321, 19732, 107188, 30369, 29295, 108048, 77181, 33122, 105525, 29295, 13153, 31431, 80195, 28713, 100604, 102677, 113334, 36785, 1811, 110924, 16556, 108729, 15682, 103478, 83799, 105514, 29295, 13177, 102663, 78459, 102663, 78459, 9458, 76171, 52591, 32131, 106391, 113638, 66383, 105324, 104369, 115981, 48864, 20230, 75146, 109669, 47884, 100909, 108176, 9174, 47260, 71634, 30512, 17297, 102639, 30369, 17905, 16556, 107693, 117282, 102677, 112973, 76171, 52591, 32131, 16144, 24615, 120, 122502, 96455, 113637, 28542, 16556, 103478, 83799, 105514, 15682, 27384, 124533, 26854, 111017, 31431, 125174, 30512, 103792, 1811, 118148, 47884, 13177, 114567, 29295, 82533, 17129, 114598, 116537, 102625, 26854, 100604, 126557, 48249, 31431, 103470, 1041, 4, 16144, 24615, 120, 122502, 96455, 30512, 30832, 64467, 72342, 81219, 27384, 112495, 47260, 71634, 29295, 32149, 126469, 114732, 103846, 5486, 116773, 107290, 57207, 108969, 33710, 26854, 106391, 13153, 117657, 118733, 20251, 32131, 112193, 125344, 117271, 30512, 112825, 110904, 20230, 103792, 1811, 123141, 16144, 13828, 245, 101544, 33208, 32977, 102717, 109416, 32335, 103167, 48249, 109900, 72661, 8107, 56965, 24615, 120, 122502, 96455, 1484, 13, 5500, 4, 120264, 16144, 24615, 120, 122502, 96455, 30512, 104067, 13153, 103792, 102131, 16556, 5486, 43568, 22649, 20230, 77693, 71689, 30512, 32018, 109315, 109335, 109768, 100604, 102677, 100909, 16144, 101200, 36785, 9174, 106307, 107441, 103478, 83799, 105514, 15682, 13177, 60868, 113649, 117718, 108729, 89154, 37823, 120404, 114016, 36785, 102334, 16995, 100990, 118, 114758, 30926, 38641, 1811, 86348, 80631, 100, 18259, 237, 29295, 109161, 16995, 116233, 66383, 13828, 245, 111813, 62004, 32149, 39926, 109177, 30512, 118328, 50834, 59739, 59739, 32977, 5486, 48249, 109115, 47260, 71634, 107809, 16556, 16995, 111201, 102321, 103350, 109904, 76171, 52591, 32131, 30512, 106391, 113638, 54926, 32149, 106116, 101335, 65299, 102040, 65299, 109853, 87177, 30512, 103130, 62004, 100481, 100472, 9174, 60868, 112164, 11972, 113404, 121960, 15682, 122401, 34048, 113112, 9458, 108695, 16144, 121953, 5486, 126913, 112919, 121953, 5486, 122401, 39177, 23538, 5486, 125175, 44915, 102083, 100472, 102208, 104091, 16144, 121953, 113468, 86348, 108010, 30297, 113404, 117084, 114732, 102677, 118844, 15682, 76171, 52591, 32131, 126913, 30046, 102052, 120019, 26854, 109972, 106529, 117084, 114732, 101200, 16556, 5486, 103478, 83799, 105514, 15682, 13177, 103927, 52414, 53508, 246, 13870, 223, 39926, 72315, 66383, 89046, 102404, 118844, 102052, 38093, 75267, 16144, 36735, 112, 114341, 30046, 32977, 5486, 120351, 17620, 16144, 55999, 99750, 19732, 42016, 40474, 30512, 39209, 107800, 107202, 49838, 30512, 108493, 100204, 58942, 104435, 101200, 36785, 9174, 9458, 103350, 30590, 20230, 21990, 32149, 107001, 5486, 106613, 111186, 20230, 48864, 102189, 101335, 65299, 102040, 65299, 198, 91, 101721, 48634, 16144, 21403, 232, 114485, 41007, 1811, 30590, 45893, 20230, 101198, 78683, 68759, 91062, 121930, 30512, 103350, 124299, 198, 91, 102987, 106145, 26854, 80805, 108526, 108941, 107446, 109606, 15682, 5486, 119045, 112535, 102741, 112508, 110366, 20230, 109606, 107407, 105908, 43240, 47884, 5486, 102040, 65575, 111234, 39880, 115079, 104195, 16556, 50338, 104662, 118765, 115789, 101182, 102677, 198, 91, 64810, 102472, 16144, 118823, 102756, 105048, 76171, 52591, 32131, 16144, 106391, 13153, 1811, 47260, 71634, 103359, 105226, 71289, 13828, 245, 101544, 34171, 16144, 105184, 33563, 16144, 103846, 37026, 25580, 16556, 33, 25434, 30512, 40452, 1811, 109242, 9039, 16144, 56606, 20230, 30177, 106307, 103792, 198, 117876, 16144, 114940, 33857, 29295, 110008, 107001, 119318, 116310, 103306, 102040, 65575, 111234, 39880, 16144, 102647, 23187, 71289, 118823, 102756, 105048, 113404, 120264, 67016, 100604, 102677, 76171, 52591, 32131, 124180, 109846, 114318, 31431, 30591, 58942, 101860, 58426, 119318, 116310, 32943, 16556, 71289, 104028, 100909, 103306, 13177, 33420, 106382, 101721, 48634, 16144, 21403, 232, 114485, 118587, 123680, 102639, 100934, 1811, 101721, 123457, 114485, 117063, 81219, 118359, 30591, 28713, 111331, 60868, 112164, 11972, 55038, 9039, 29295, 115079, 71289, 127397, 8107, 56965, 9039, 102718, 110743, 16144, 107792, 103664, 108176, 115789, 118855, 101721, 95221, 31640, 3484, 28359, 95598, 110743, 102677, 106045, 54872, 113245, 47260, 71634, 21403, 232, 114485, 107294, 105722, 30369, 102677, 9174, 61056, 107969, 113468, 60868, 112164, 11972, 29295, 127258, 104028, 102677, 20251, 32131, 112193, 16144, 21403, 232, 114485, 105352, 109020, 1811, 103350, 104983, 20230, 105693, 20251, 32131, 112193, 103306, 15682, 5486, 108936, 109904, 76171, 52591, 32131, 106391, 113638, 16556, 53508, 100, 62004, 110071, 83799, 16144, 110674, 22398, 25197, 108981, 94550, 102040, 52884, 30512, 118359, 16144, 32335, 17905, 38574, 20230, 102332, 22324, 107113, 110229, 5486, 60868, 112164, 115247, 61056, 107969, 29295, 86348, 43167, 17129, 76947, 50834, 38144, 22398, 25197, 108981, 29295, 107059, 116219, 15024, 106116, 118359, 16144, 118597, 29295, 37087, 121143, 39926, 114604, 105908, 101182, 102677, 66327, 22398, 25197, 108981, 15682, 16, 87217, 17297, 20230, 22324, 47884, 106592, 90962, 22398, 22398, 39850, 78434, 66383, 103478, 83799, 105514, 9174, 53900, 5486, 110191, 118372, 114567, 125175, 16556, 59614, 101860, 109606, 108176, 80805, 108526, 108941, 107446, 109853, 32977, 28190, 101828, 16995, 53283, 91774, 122291, 1811, 117032, 15682, 118463, 29295, 102780, 31431, 123207, 102040, 65575, 116155, 16556, 105321, 19732, 107188, 104533, 78698, 105262, 102944, 109846, 5486, 103350, 104983, 15682, 77693, 16556, 50338, 104662, 103082, 28713, 106081, 21105, 234, 100604, 5486, 106956, 100481, 15682, 102741, 112508, 110366, 20230, 109606, 107407, 105908, 127181, 105272, 102677, 9174, 101182, 27452, 77181, 5486, 122401, 124180, 16144, 32018, 109315, 110674, 102040, 65575, 30512, 116155, 56051, 123680, 106808, 5486, 111571, 103397, 15682, 109161, 33208, 112028, 108968, 30512, 16205, 123, 100472, 1811, 122270, 102040, 65575, 30512, 116155, 39926, 14382, 19732, 71289, 103836, 122756, 123334, 29295, 38144, 102741, 112508, 110366, 16144, 23951, 37656, 16556, 109606, 29295, 108740, 112535, 50338, 33420, 109807, 112661, 56965, 55031, 122333, 16144, 102040, 65575, 111234, 39880, 29295, 89783, 76947, 114732, 102677, 113702, 20230, 66327, 104405, 17663, 102189, 57980, 51330, 60868, 112164, 11972, 14382, 10646, 19732, 109177, 30512, 118328, 47884, 103826, 45829, 20230, 5486, 38093, 75267, 32977, 27384, 108947, 49838, 36785, 9174, 58426, 100927, 120117, 103306, 5486, 114567, 16144, 37823, 37823, 61398, 112772, 13177, 108152, 38248, 114, 11972, 123120, 30512, 54872, 101658, 105, 54926, 57207, 96452, 37823, 90962, 57933, 71634, 30512, 21105, 96, 107277, 109134, 105908, 109215, 66383, 95604, 103478, 83799, 105514, 119520, 102321, 103397, 103306, 15682, 108948, 75694, 26854, 31431, 115717, 126172, 47884, 5486, 112599, 32977, 33334, 75694, 26854, 31431, 95221, 103868, 36785, 102677, 1811, 57207, 96452, 37823, 90962, 57933, 71634, 16144, 103846, 102052, 37087, 123141, 29295, 61648, 72342, 101832, 81219 ]
[ 105110, 101860, 106116, 38574, 106090, 77181, 37823, 37823, 61398, 22398, 102663, 115478, 64178, 29295, 104364, 15024, 117598, 103836, 126465, 29295, 102717, 19732, 124592, 16556, 5486, 30358, 112950, 26854, 57933, 71634, 30512, 103350, 102923, 54926, 89783, 116664, 15682, 26854, 107188, 32149, 14382, 102677, 102321, 103350, 107407, 101200, 36785, 9174, 51330, 102717, 32149, 5486, 119526, 120690, 19732, 18904, 101911, 41642, 111331, 87177, 104482, 32977, 105693, 1811, 64810, 102472, 77181, 110577, 25359, 16144, 119526, 120690, 20230, 123141, 30512, 22324, 102532, 5486, 18904, 101911, 15682, 37026, 25580, 16556, 73686, 119188, 102677, 1811, 18904, 101911, 15682, 109242, 9039, 16144, 56606, 55031, 113801, 69847, 16556, 108086, 5486, 56606, 56965, 16144, 118597, 106613, 47095, 44416, 109088, 20230, 33655, 126832, 33, 25434, 33710, 120770, 30512, 37026, 25580, 16556, 102332, 22324, 113637, 123141, 77181, 56606, 30512, 111764, 20230, 102647, 103854, 30369, 105879, 5486, 114567, 11883, 16144, 118597, 15682, 30250, 227, 109337, 16144, 83747, 100604, 32335, 109431, 106613, 47095, 20230, 33710, 117675, 94550, 15024, 5486, 99959, 115691, 42634, 65575, 16144, 118597, 15682, 112603, 38574, 16144, 51385, 16995, 56606, 20230, 89753, 17663, 102677, 89154, 37823, 120404, 30512, 11883, 107991, 118844, 32977, 47260, 71634, 21403, 232, 114485, 107294, 105722, 76947, 109749, 49792, 101908, 36785, 9174, 18904, 101911, 16144, 38129, 109853, 85777, 43514, 118816, 103478, 83799, 105514, 29295, 64467, 112419, 54926, 112973, 5486, 114567, 29220, 102803, 39880, 52414, 71289, 80805, 108981, 16144, 55487, 52927, 111671, 125344, 39880, 122086, 22398, 120766, 1811, 16325, 72661, 29220, 102803, 39880, 52414, 55487, 52927, 9080, 39177, 30512, 30926, 112772, 39880, 96452, 65299, 107446, 54926, 104468, 109688, 100604, 102677, 1811, 108152, 38248, 114, 11972, 29295, 27384, 123680, 39926, 75293, 43514, 106391, 107290, 103801, 16995, 5486, 121298, 56051, 112661, 122756, 12870, 226, 17129, 100204, 16995, 39880, 122086, 22398, 29295, 120766, 39926, 114732, 55031, 36785, 9174, 103350, 104983, 20230, 105693, 21388, 113529, 111813, 103306, 33671, 120950, 76739, 70563, 102741, 65575, 29295, 126362, 103646, 1811, 101182, 114567, 16556, 125175, 111671, 19732, 29220, 102803, 39880, 52414, 55487, 52927, 30512, 115963, 20230, 116700, 15024, 5486, 67016, 32977, 5486, 114567, 60868, 112164, 11972, 19732, 99959, 115691, 42634, 65575, 60868, 112164, 11972, 29295, 42016, 15120, 16144, 118823, 102756, 105048, 20230, 105693, 102677, 126465, 1811, 112672, 39880, 122086, 22398, 29295, 120766, 39926, 29220, 102803, 39880, 52414, 15682, 16931, 118765, 5486, 57980, 15024, 25827, 81219, 16931, 103082, 111243, 18904, 101911, 29295, 80805, 116099, 39926, 102532, 114567, 32977, 118765, 5486, 102677, 32335, 109161, 16144, 127749, 66327, 109134, 105110, 103911, 70203, 30512, 105184, 33563, 39926, 72315, 101832, 66383, 103478, 83799, 105514, 16144, 102769, 103350, 26854, 37823, 29220, 76739, 71634, 29295, 64209, 20230, 104584, 50834, 110456, 30813, 100472, 9174, 9458, 105994, 105459, 29295, 99849, 32977, 109161, 47884, 111243, 20251, 32131, 112193, 15682, 102404, 21990, 54926, 1811, 107943, 27452, 198, 91, 106391, 13153, 16144, 102647, 23187, 109853, 1811, 124572, 101067, 33208, 15682, 80805, 108526, 108941, 107446, 112535, 105576, 29295, 116213, 16995, 29295, 5486, 107059, 65299, 45923, 16144, 26955, 94, 105714, 34171, 15682, 37656, 106624, 33655, 116285, 101523, 227, 126235, 198, 91, 30591, 47884, 103296, 96356, 16144, 113359, 20230, 40862, 100472, 41007, 16556, 32335, 106594, 30512, 30832, 64467, 17663, 1811, 114363, 103722, 46729, 66378, 19361, 16144, 13177, 53283, 122393, 118587, 112391, 110071, 64810, 26269, 104272, 103351, 198, 17039, 102800, 106081, 64121, 103306, 15682, 5486, 64810, 102472, 77181, 112599, 107059, 65299, 45923, 123141, 16144, 107740, 30512, 103984, 102212, 109156, 115032, 102131, 36785, 1811, 80805, 108526, 108941, 107446, 29295, 107693, 26854, 110191, 118372, 114567, 16144, 125175, 77181, 108729, 112535, 123532, 37507, 25287, 16144, 123141, 29295, 126521, 102944, 16144, 5486, 107059, 65299, 45923, 16144, 22398, 102663, 108994, 91482, 37823, 103906, 32977, 101523, 227, 48634, 1811, 110924, 16556, 5486, 80805, 108526, 108941, 107446, 109606, 109853, 15682, 13177, 107059, 65299, 45923, 30512, 25580, 29172, 103306, 114567, 30512, 113404, 15024, 5486, 109606, 100604, 104466, 103792, 66383, 16144, 100909, 36785, 9174, 51330, 102717, 32149, 116898, 47884, 59739, 116421, 109834, 103868, 102987, 16995, 20251, 32131, 112193, 27452, 29295, 126362, 103646, 1811, 116414, 116421, 56606, 16144, 30177, 106307, 28542, 16556, 101477, 119, 101477, 111, 29295, 22324, 50834, 108048, 29295, 28713, 53900, 17129, 64810, 102472, 16144, 119526, 120690, 113115, 54926, 118597, 16144, 102832, 71634, 80805, 22398, 103351, 102677, 126465, 1811, 108152, 38248, 114, 11972, 117758, 118597, 29295, 122617, 125559, 30512, 106613, 68171, 54926, 101200, 117084, 103801, 16995, 36896, 104774, 114483, 57207, 61398, 47307, 25005, 99, 78683, 66953, 61398, 117503, 108152, 38248, 114, 11972, 55031, 13177, 104405, 26854, 113017, 16144, 30, 10646, 19732, 99397, 16995, 114146, 29295, 108055, 28037, 56051, 102677, 9174, 116696, 47260, 30512, 110441, 39084, 30590, 103306, 125144, 100472, 33710, 117675, 94550, 108134, 29295, 108044, 104067, 84389, 5486, 102208, 32938, 16556, 102769, 64889, 29295, 102404, 21990, 56051, 58721, 118844, 109853, 15682, 5486, 33, 25434, 30512, 44416, 109088, 108608, 104195, 64121, 30512, 76706, 32149, 39926, 5486, 117375, 114475, 76622, 126386, 33710, 84477, 20230, 106613, 47095, 30512, 125174, 109913, 105262, 118733, 117271, 29295, 88367, 103351, 9174, 80805, 113821, 106384, 33710, 47307, 122835, 58721, 102677, 123017, 101182, 1811, 47, 17, 47, 104774, 106696, 39209, 109033, 16144, 38129, 30512, 126128, 44416, 54926, 113173, 16556, 102208, 56606, 16144, 110770, 33710, 120770, 20230, 106384, 33710, 47307, 29295, 106839, 17701, 103646, 104983, 36896, 115412, 115412, 124180, 116825, 47884, 103950, 10646, 114971, 16144, 80805, 113821, 29295, 8509, 68992, 16144, 80805, 113821, 19732, 125144, 104736, 84389, 5486, 57326, 108748, 111671, 9039, 17620, 16556, 102769, 64889, 107001, 111571, 103397, 29295, 106307, 102404, 1811, 105047, 105557, 89046, 117139, 30512, 19732, 31431, 64810, 102472, 16144, 118823, 102756, 105048, 15682, 22398, 33710, 11972, 54926, 101200, 122489, 120837, 110706, 5486, 105321, 110162, 117271, 56051, 110792, 100909, 36785, 9174, 17129, 30813, 20230, 124773, 123437, 67075, 15682, 109242, 122202, 107297, 103698, 5486, 116414, 32149, 16556, 102404, 21990, 56051, 16937, 77913, 40862, 16144, 117375, 29295, 21405, 20230, 102321, 78183, 106824, 109749, 32149, 103911, 108867, 15024, 20230, 47884, 16995, 102616, 1811, 114567, 126867, 60868, 112164, 117697, 115691, 71289, 118597, 16937, 103424, 16556, 16937, 102924, 26854, 114284, 123410, 105908, 30591, 114598, 108048, 29295, 13177, 121143, 43240, 20230, 100604, 10646, 105933, 87177, 127303, 104984, 108149, 109709, 30832, 47884, 100204, 33503, 30512, 121697, 101860, 5486, 103478, 83799, 105514, 120950, 118124, 24273, 16144, 121837, 30512, 106608, 110238, 39926, 122765, 38144, 111654, 102800, 1811, 107943, 106592, 91763, 30297, 101200, 110276, 64810, 26269, 104272, 115287, 9174, 91, 93298, 29220, 39177, 111363, 117271, 29295, 107693, 117084, 109749, 99959, 115691, 42634, 65575, 18904, 101911, 109853, 1811, 110191, 118372, 114567, 16144, 37823, 37823, 61398, 39177, 71289, 27384, 106045, 54872, 80805, 108981, 55487, 52927, 16144, 112661, 56965, 77181, 6620, 45, 71289, 47, 17, 47, 123141, 16144, 107740, 32977, 103214, 64121, 114146, 100934, 1811, 112661, 56965, 112366, 16144, 108436, 37705, 33857, 15682, 605, 38, 32280, 124905, 16995, 102769, 30369, 108680, 36785, 102677, 198, 91, 30250, 227, 109337, 109853, 1811, 117271, 103306, 115552, 107407, 104468, 56606, 16144, 102647, 23187, 120264, 103195, 102677, 1811, 125559, 109853, 15682, 101426, 16144, 113053, 16144, 48249, 98220, 32977, 101182, 1811, 104959, 55139, 109853, 15682, 127164, 33710, 84477, 29295, 36668, 16556, 89783, 82420, 16144, 30250, 227, 109337, 29295, 21990, 100204, 100934, 29295, 5486, 112599, 42634, 57207, 107908, 84477, 29295, 64531, 104874, 84389, 59739, 59739, 101182, 105879, 125494, 109768, 104533, 16144, 100909, 271, 107122, 13177, 33429, 32, 47717, 15217, 220, 679, 15, 10110, 2152, 31826, 220, 679, 15, 7705, 10646, 16144, 103927, 103202, 122481, 198, 128001, 128000, 20, 97049, 120264, 55031, 31809, 104575, 103167, 48864, 8107, 120264, 16556, 110240, 47884, 44620, 101402, 107873, 36761, 15682, 124563, 112371, 32149, 104662, 17129, 76947, 89151, 42891, 109657, 103351, 9174, 30590, 28190, 55031, 91774, 109415, 30369, 35894, 117083, 104468, 112160, 112661, 103378, 67016, 91774, 30369, 100909, 16144, 118765, 104195, 47884, 101828, 16995, 101426, 1811, 86127, 125030, 76947, 16144, 44620, 101402, 107873, 36761, 15682, 58426, 39135, 36785, 9174, 125743, 5486, 105408, 15682, 13177, 101402, 107873, 15682, 109657, 16556, 124304, 66383, 120267, 5486, 41642, 111331, 127032, 127282, 77693, 20230, 123532, 16995, 5486, 22957, 108422, 76947, 89151, 42891, 109657, 26854, 101402, 107873, 30512, 110240, 47884, 9174, 122571, 16937, 91763, 104760, 16556, 28713, 17129, 33503, 104435, 1811, 112073, 102052, 101402, 107873, 29295, 109657, 47884, 91774, 105262, 104865, 106046, 100472, 1811, 112073, 15682, 5486, 118705, 24273, 112197, 9080, 103826, 30512, 110240, 119188, 105272, 106046, 106358, 9174, 117952, 103468, 33035, 111331, 39135, 20230, 21105, 103, 16995, 19732, 58426, 82973, 29295, 105721, 35287, 21105, 103, 16995, 105879, 115408, 32977, 89151, 42891, 109657, 26854, 101402, 107873, 30512, 110240, 47884, 1811, 72661, 5486, 120208, 29295, 109161, 102518, 1811, 103001, 246, 30512, 110240, 119188, 101200, 103351, 9174, 46729, 20230, 112454, 76947, 5486, 105994, 29295, 91774, 105262, 101402, 107873, 30512, 110240, 102334, 9174, 103271, 16995, 35894, 20230, 101828, 125845, 114715, 105310, 39135, 16995, 101402, 107873, 9174, 109657, 111199, 16995, 35894, 20230, 100783, 239, 39135, 16144, 101402, 107873, 36785, 9174, 100783, 239, 39135, 16144, 101402, 107873, 15682, 5486, 104195, 16995, 101426, 20230, 118146, 119962, 100204, 28713, 39177, 5486, 104921, 120, 20230, 62543, 30369, 108618, 66201, 103351, 9174, 109657, 111199, 16995, 104468, 104921, 120, 29295, 19967, 30369, 115592, 102540, 16073, 9174, 122571, 112624, 102780, 56051, 9174, 112073, 29295, 110240, 47884, 89151, 42891, 109657, 26854, 101402, 107873, 15682, 5486, 114516, 29295, 123726, 30369, 17905, 16556, 39135, 104680, 19732, 96356, 107294, 76622, 100481, 47884, 101200, 108176, 44620, 108881, 31431, 40862, 16995, 36761, 71289, 44620, 109163, 30868, 247, 16144, 114706, 36761, 36785, 9174, 86127, 29295, 110240, 47884, 100783, 239, 39135, 16144, 101402, 107873, 15682, 115408, 29295, 112391, 38144, 91774, 105262, 102616, 16144, 44620, 102159, 34171, 36761, 103195, 9174, 89151, 42891, 109657, 26854, 101402, 107873, 32977, 15120, 118821, 89151, 103350, 1811, 110164, 121040, 77181, 58426, 110783, 108995, 1811, 118705, 9080, 32977, 102131, 36785, 9174, 80673, 115408, 16144, 91774, 105262, 100783, 239, 39135, 16144, 101402, 107873, 32977, 15120, 118821, 89151, 103350, 116787, 115847, 29295, 99849, 39135, 127303, 114598, 58426, 17792, 125030, 76947, 16144, 101402, 107873, 15682, 58426, 39135, 116787, 89151, 103350, 26854, 105272, 9174, 109606, 15682, 5486, 101402, 107873, 16144, 39135, 30512, 109657, 20230, 15024, 85791, 19732, 110408, 15024, 47000, 105784, 100909, 103195, 9174, 102616, 15682, 5486, 110924, 20230, 48706, 103792, 102677, 118656, 109904, 102944, 19732, 5486, 17792, 77693, 108422, 33121, 16144, 101067, 117201, 106084, 115442, 30369, 118729, 109904, 102944, 16144, 41920, 104091, 104770, 16556, 13153, 31431, 80195, 107462, 104533, 122571, 91763, 30297, 9174, 118729, 109904, 102616, 15682, 5486, 91774, 58942, 24273, 29295, 17792, 19732, 108010, 76947, 112672, 26854, 105272, 9174, 105994, 33503, 106624, 123726, 104533, 32149, 5486, 53901, 112495, 106592, 39926, 123726, 30369, 76947, 95604, 104468, 110371, 91774, 58942, 24273, 16144, 121953, 30512, 115364, 102944, 36785, 117408, 112442, 95221, 19732, 106515, 72342, 16144, 100909, 1811, 128001, 128000, 567, 103067, 95, 106367, 121254, 76622, 107253, 104874, 103792, 101908, 122924, 198, 89046, 107121, 30537, 18, 18904, 77181, 103242, 109519, 106382, 103851, 21418, 16144, 87177, 126198, 29295, 115515, 18904, 15682, 103242, 109519, 106382, 19732, 42016, 103826, 20230, 5486, 114774, 17792, 113468, 15682, 122270, 102769, 117598, 56051, 109606, 116787, 5486, 107693, 26854, 13177, 106627, 106367, 10646, 123863, 85188, 102781, 20230, 109835, 106824, 115226, 119150, 9174, 37271, 18904, 16144, 120955, 113679, 15682, 5486, 105466, 102212, 126053, 71005, 98369, 10110, 124572, 13372, 7705, 19732, 104622, 45829, 98369, 10110, 124572, 13372, 120732, 101908, 122924, 127211, 111943, 103926, 16144, 106968, 5486, 116366, 106824, 126326, 56051, 17, 17792, 109846, 5486, 22649, 101067, 19732, 102321, 103350, 15682, 108010, 30297, 102944, 16556, 103283, 104680, 16144, 45893, 117824, 47884, 100909, 104856, 76947, 114604, 1981, 9174, 126053, 71005, 98369, 19732, 104622, 45829, 117940, 5486, 126326, 104654, 30512, 27704, 107436, 18, 8107, 29295, 106613, 103188, 107113, 1811, 30358, 106956, 87177, 102052, 109020, 29295, 5486, 121410, 117073, 9080, 111681, 119775, 83601, 100, 103001, 102, 29295, 106307, 50834, 5486, 126326, 25580, 102052, 91774, 119841, 102321, 103350, 29295, 126419, 20230, 127331, 33503, 39926, 64121, 38144, 85707, 107436, 91774, 105262, 101200, 115717, 108948, 106483, 117714, 34171, 35083, 16144, 16937, 15120, 105260, 29295, 27384, 112495, 113385, 16556, 106627, 106367, 102677, 121507, 30512, 102647, 102189, 9174, 30813, 38144, 106627, 106367, 123863, 33334, 35330, 16144, 87177, 109156, 107462, 126145, 5486, 101557, 108, 118835, 42506, 5486, 113598, 101662, 106382, 5486, 80539, 112686, 106518, 17620, 58318, 16144, 18, 59739, 20230, 119448, 47884, 17620, 76622, 110071, 1811, 110382, 126328, 13177, 112686, 106518, 17620, 58318, 10646, 112649, 117295, 85188, 35330, 20230, 108526, 38248, 104, 22398, 39926, 87177, 30512, 103130, 62004, 106956, 119150, 9174, 567, 109517, 94, 106518, 17620, 58318, 112649, 117295, 85188, 35330, 198, 112686, 106518, 17620, 58318, 107118, 5486, 126326, 126867, 101908, 122924, 16556, 113638, 102334, 112686, 106518, 30512, 102097, 70203, 54926, 106592, 112844, 1811, 67645, 112384, 116421, 13372, 104577, 104856, 103836, 46729, 104309, 32977, 103359, 47523, 117282, 1811, 110382, 77181, 5486, 112686, 106518, 30512, 17620, 58318, 54926, 110366, 10110, 126053, 71005, 98369, 7705, 19732, 112686, 106518, 30512, 17620, 58318, 107001, 110366, 10110, 104622, 45829, 98369, 7705, 103306, 122984, 109768, 108895, 9174, 14711, 109517, 94, 106518, 30512, 17620, 58318, 54926, 110366, 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 ]
[ 105110, 101860, 106116, 38574, 106090, 77181, 37823, 37823, 61398, 22398, 102663, 115478, 64178, 29295, 104364, 15024, 117598, 103836, 126465, 29295, 102717, 19732, 124592, 16556, 5486, 30358, 112950, 26854, 57933, 71634, 30512, 103350, 102923, 54926, 89783, 116664, 15682, 26854, 107188, 32149, 14382, 102677, 102321, 103350, 107407, 101200, 36785, 9174, 51330, 102717, 32149, 5486, 119526, 120690, 19732, 18904, 101911, 41642, 111331, 87177, 104482, 32977, 105693, 1811, 64810, 102472, 77181, 110577, 25359, 16144, 119526, 120690, 20230, 123141, 30512, 22324, 102532, 5486, 18904, 101911, 15682, 37026, 25580, 16556, 73686, 119188, 102677, 1811, 18904, 101911, 15682, 109242, 9039, 16144, 56606, 55031, 113801, 69847, 16556, 108086, 5486, 56606, 56965, 16144, 118597, 106613, 47095, 44416, 109088, 20230, 33655, 126832, 33, 25434, 33710, 120770, 30512, 37026, 25580, 16556, 102332, 22324, 113637, 123141, 77181, 56606, 30512, 111764, 20230, 102647, 103854, 30369, 105879, 5486, 114567, 11883, 16144, 118597, 15682, 30250, 227, 109337, 16144, 83747, 100604, 32335, 109431, 106613, 47095, 20230, 33710, 117675, 94550, 15024, 5486, 99959, 115691, 42634, 65575, 16144, 118597, 15682, 112603, 38574, 16144, 51385, 16995, 56606, 20230, 89753, 17663, 102677, 89154, 37823, 120404, 30512, 11883, 107991, 118844, 32977, 47260, 71634, 21403, 232, 114485, 107294, 105722, 76947, 109749, 49792, 101908, 36785, 9174, 18904, 101911, 16144, 38129, 109853, 85777, 43514, 118816, 103478, 83799, 105514, 29295, 64467, 112419, 54926, 112973, 5486, 114567, 29220, 102803, 39880, 52414, 71289, 80805, 108981, 16144, 55487, 52927, 111671, 125344, 39880, 122086, 22398, 120766, 1811, 16325, 72661, 29220, 102803, 39880, 52414, 55487, 52927, 9080, 39177, 30512, 30926, 112772, 39880, 96452, 65299, 107446, 54926, 104468, 109688, 100604, 102677, 1811, 108152, 38248, 114, 11972, 29295, 27384, 123680, 39926, 75293, 43514, 106391, 107290, 103801, 16995, 5486, 121298, 56051, 112661, 122756, 12870, 226, 17129, 100204, 16995, 39880, 122086, 22398, 29295, 120766, 39926, 114732, 55031, 36785, 9174, 103350, 104983, 20230, 105693, 21388, 113529, 111813, 103306, 33671, 120950, 76739, 70563, 102741, 65575, 29295, 126362, 103646, 1811, 101182, 114567, 16556, 125175, 111671, 19732, 29220, 102803, 39880, 52414, 55487, 52927, 30512, 115963, 20230, 116700, 15024, 5486, 67016, 32977, 5486, 114567, 60868, 112164, 11972, 19732, 99959, 115691, 42634, 65575, 60868, 112164, 11972, 29295, 42016, 15120, 16144, 118823, 102756, 105048, 20230, 105693, 102677, 126465, 1811, 112672, 39880, 122086, 22398, 29295, 120766, 39926, 29220, 102803, 39880, 52414, 15682, 16931, 118765, 5486, 57980, 15024, 25827, 81219, 16931, 103082, 111243, 18904, 101911, 29295, 80805, 116099, 39926, 102532, 114567, 32977, 118765, 5486, 102677, 32335, 109161, 16144, 127749, 66327, 109134, 105110, 103911, 70203, 30512, 105184, 33563, 39926, 72315, 101832, 66383, 103478, 83799, 105514, 16144, 102769, 103350, 26854, 37823, 29220, 76739, 71634, 29295, 64209, 20230, 104584, 50834, 110456, 30813, 100472, 9174, 9458, 105994, 105459, 29295, 99849, 32977, 109161, 47884, 111243, 20251, 32131, 112193, 15682, 102404, 21990, 54926, 1811, 107943, 27452, 198, 91, 106391, 13153, 16144, 102647, 23187, 109853, 1811, 124572, 101067, 33208, 15682, 80805, 108526, 108941, 107446, 112535, 105576, 29295, 116213, 16995, 29295, 5486, 107059, 65299, 45923, 16144, 26955, 94, 105714, 34171, 15682, 37656, 106624, 33655, 116285, 101523, 227, 126235, 198, 91, 30591, 47884, 103296, 96356, 16144, 113359, 20230, 40862, 100472, 41007, 16556, 32335, 106594, 30512, 30832, 64467, 17663, 1811, 114363, 103722, 46729, 66378, 19361, 16144, 13177, 53283, 122393, 118587, 112391, 110071, 64810, 26269, 104272, 103351, 198, 17039, 102800, 106081, 64121, 103306, 15682, 5486, 64810, 102472, 77181, 112599, 107059, 65299, 45923, 123141, 16144, 107740, 30512, 103984, 102212, 109156, 115032, 102131, 36785, 1811, 80805, 108526, 108941, 107446, 29295, 107693, 26854, 110191, 118372, 114567, 16144, 125175, 77181, 108729, 112535, 123532, 37507, 25287, 16144, 123141, 29295, 126521, 102944, 16144, 5486, 107059, 65299, 45923, 16144, 22398, 102663, 108994, 91482, 37823, 103906, 32977, 101523, 227, 48634, 1811, 110924, 16556, 5486, 80805, 108526, 108941, 107446, 109606, 109853, 15682, 13177, 107059, 65299, 45923, 30512, 25580, 29172, 103306, 114567, 30512, 113404, 15024, 5486, 109606, 100604, 104466, 103792, 66383, 16144, 100909, 36785, 9174, 51330, 102717, 32149, 116898, 47884, 59739, 116421, 109834, 103868, 102987, 16995, 20251, 32131, 112193, 27452, 29295, 126362, 103646, 1811, 116414, 116421, 56606, 16144, 30177, 106307, 28542, 16556, 101477, 119, 101477, 111, 29295, 22324, 50834, 108048, 29295, 28713, 53900, 17129, 64810, 102472, 16144, 119526, 120690, 113115, 54926, 118597, 16144, 102832, 71634, 80805, 22398, 103351, 102677, 126465, 1811, 108152, 38248, 114, 11972, 117758, 118597, 29295, 122617, 125559, 30512, 106613, 68171, 54926, 101200, 117084, 103801, 16995, 36896, 104774, 114483, 57207, 61398, 47307, 25005, 99, 78683, 66953, 61398, 117503, 108152, 38248, 114, 11972, 55031, 13177, 104405, 26854, 113017, 16144, 30, 10646, 19732, 99397, 16995, 114146, 29295, 108055, 28037, 56051, 102677, 9174, 116696, 47260, 30512, 110441, 39084, 30590, 103306, 125144, 100472, 33710, 117675, 94550, 108134, 29295, 108044, 104067, 84389, 5486, 102208, 32938, 16556, 102769, 64889, 29295, 102404, 21990, 56051, 58721, 118844, 109853, 15682, 5486, 33, 25434, 30512, 44416, 109088, 108608, 104195, 64121, 30512, 76706, 32149, 39926, 5486, 117375, 114475, 76622, 126386, 33710, 84477, 20230, 106613, 47095, 30512, 125174, 109913, 105262, 118733, 117271, 29295, 88367, 103351, 9174, 80805, 113821, 106384, 33710, 47307, 122835, 58721, 102677, 123017, 101182, 1811, 47, 17, 47, 104774, 106696, 39209, 109033, 16144, 38129, 30512, 126128, 44416, 54926, 113173, 16556, 102208, 56606, 16144, 110770, 33710, 120770, 20230, 106384, 33710, 47307, 29295, 106839, 17701, 103646, 104983, 36896, 115412, 115412, 124180, 116825, 47884, 103950, 10646, 114971, 16144, 80805, 113821, 29295, 8509, 68992, 16144, 80805, 113821, 19732, 125144, 104736, 84389, 5486, 57326, 108748, 111671, 9039, 17620, 16556, 102769, 64889, 107001, 111571, 103397, 29295, 106307, 102404, 1811, 105047, 105557, 89046, 117139, 30512, 19732, 31431, 64810, 102472, 16144, 118823, 102756, 105048, 15682, 22398, 33710, 11972, 54926, 101200, 122489, 120837, 110706, 5486, 105321, 110162, 117271, 56051, 110792, 100909, 36785, 9174, 17129, 30813, 20230, 124773, 123437, 67075, 15682, 109242, 122202, 107297, 103698, 5486, 116414, 32149, 16556, 102404, 21990, 56051, 16937, 77913, 40862, 16144, 117375, 29295, 21405, 20230, 102321, 78183, 106824, 109749, 32149, 103911, 108867, 15024, 20230, 47884, 16995, 102616, 1811, 114567, 126867, 60868, 112164, 117697, 115691, 71289, 118597, 16937, 103424, 16556, 16937, 102924, 26854, 114284, 123410, 105908, 30591, 114598, 108048, 29295, 13177, 121143, 43240, 20230, 100604, 10646, 105933, 87177, 127303, 104984, 108149, 109709, 30832, 47884, 100204, 33503, 30512, 121697, 101860, 5486, 103478, 83799, 105514, 120950, 118124, 24273, 16144, 121837, 30512, 106608, 110238, 39926, 122765, 38144, 111654, 102800, 1811, 107943, 106592, 91763, 30297, 101200, 110276, 64810, 26269, 104272, 115287, 9174, 91, 93298, 29220, 39177, 111363, 117271, 29295, 107693, 117084, 109749, 99959, 115691, 42634, 65575, 18904, 101911, 109853, 1811, 110191, 118372, 114567, 16144, 37823, 37823, 61398, 39177, 71289, 27384, 106045, 54872, 80805, 108981, 55487, 52927, 16144, 112661, 56965, 77181, 6620, 45, 71289, 47, 17, 47, 123141, 16144, 107740, 32977, 103214, 64121, 114146, 100934, 1811, 112661, 56965, 112366, 16144, 108436, 37705, 33857, 15682, 605, 38, 32280, 124905, 16995, 102769, 30369, 108680, 36785, 102677, 198, 91, 30250, 227, 109337, 109853, 1811, 117271, 103306, 115552, 107407, 104468, 56606, 16144, 102647, 23187, 120264, 103195, 102677, 1811, 125559, 109853, 15682, 101426, 16144, 113053, 16144, 48249, 98220, 32977, 101182, 1811, 104959, 55139, 109853, 15682, 127164, 33710, 84477, 29295, 36668, 16556, 89783, 82420, 16144, 30250, 227, 109337, 29295, 21990, 100204, 100934, 29295, 5486, 112599, 42634, 57207, 107908, 84477, 29295, 64531, 104874, 84389, 59739, 59739, 101182, 105879, 125494, 109768, 104533, 16144, 100909, 271, 107122, 13177, 33429, 32, 47717, 15217, 220, 679, 15, 10110, 2152, 31826, 220, 679, 15, 7705, 10646, 16144, 103927, 103202, 122481, 198, 128001, 128000, 20, 97049, 120264, 55031, 31809, 104575, 103167, 48864, 8107, 120264, 16556, 110240, 47884, 44620, 101402, 107873, 36761, 15682, 124563, 112371, 32149, 104662, 17129, 76947, 89151, 42891, 109657, 103351, 9174, 30590, 28190, 55031, 91774, 109415, 30369, 35894, 117083, 104468, 112160, 112661, 103378, 67016, 91774, 30369, 100909, 16144, 118765, 104195, 47884, 101828, 16995, 101426, 1811, 86127, 125030, 76947, 16144, 44620, 101402, 107873, 36761, 15682, 58426, 39135, 36785, 9174, 125743, 5486, 105408, 15682, 13177, 101402, 107873, 15682, 109657, 16556, 124304, 66383, 120267, 5486, 41642, 111331, 127032, 127282, 77693, 20230, 123532, 16995, 5486, 22957, 108422, 76947, 89151, 42891, 109657, 26854, 101402, 107873, 30512, 110240, 47884, 9174, 122571, 16937, 91763, 104760, 16556, 28713, 17129, 33503, 104435, 1811, 112073, 102052, 101402, 107873, 29295, 109657, 47884, 91774, 105262, 104865, 106046, 100472, 1811, 112073, 15682, 5486, 118705, 24273, 112197, 9080, 103826, 30512, 110240, 119188, 105272, 106046, 106358, 9174, 117952, 103468, 33035, 111331, 39135, 20230, 21105, 103, 16995, 19732, 58426, 82973, 29295, 105721, 35287, 21105, 103, 16995, 105879, 115408, 32977, 89151, 42891, 109657, 26854, 101402, 107873, 30512, 110240, 47884, 1811, 72661, 5486, 120208, 29295, 109161, 102518, 1811, 103001, 246, 30512, 110240, 119188, 101200, 103351, 9174, 46729, 20230, 112454, 76947, 5486, 105994, 29295, 91774, 105262, 101402, 107873, 30512, 110240, 102334, 9174, 103271, 16995, 35894, 20230, 101828, 125845, 114715, 105310, 39135, 16995, 101402, 107873, 9174, 109657, 111199, 16995, 35894, 20230, 100783, 239, 39135, 16144, 101402, 107873, 36785, 9174, 100783, 239, 39135, 16144, 101402, 107873, 15682, 5486, 104195, 16995, 101426, 20230, 118146, 119962, 100204, 28713, 39177, 5486, 104921, 120, 20230, 62543, 30369, 108618, 66201, 103351, 9174, 109657, 111199, 16995, 104468, 104921, 120, 29295, 19967, 30369, 115592, 102540, 16073, 9174, 122571, 112624, 102780, 56051, 9174, 112073, 29295, 110240, 47884, 89151, 42891, 109657, 26854, 101402, 107873, 15682, 5486, 114516, 29295, 123726, 30369, 17905, 16556, 39135, 104680, 19732, 96356, 107294, 76622, 100481, 47884, 101200, 108176, 44620, 108881, 31431, 40862, 16995, 36761, 71289, 44620, 109163, 30868, 247, 16144, 114706, 36761, 36785, 9174, 86127, 29295, 110240, 47884, 100783, 239, 39135, 16144, 101402, 107873, 15682, 115408, 29295, 112391, 38144, 91774, 105262, 102616, 16144, 44620, 102159, 34171, 36761, 103195, 9174, 89151, 42891, 109657, 26854, 101402, 107873, 32977, 15120, 118821, 89151, 103350, 1811, 110164, 121040, 77181, 58426, 110783, 108995, 1811, 118705, 9080, 32977, 102131, 36785, 9174, 80673, 115408, 16144, 91774, 105262, 100783, 239, 39135, 16144, 101402, 107873, 32977, 15120, 118821, 89151, 103350, 116787, 115847, 29295, 99849, 39135, 127303, 114598, 58426, 17792, 125030, 76947, 16144, 101402, 107873, 15682, 58426, 39135, 116787, 89151, 103350, 26854, 105272, 9174, 109606, 15682, 5486, 101402, 107873, 16144, 39135, 30512, 109657, 20230, 15024, 85791, 19732, 110408, 15024, 47000, 105784, 100909, 103195, 9174, 102616, 15682, 5486, 110924, 20230, 48706, 103792, 102677, 118656, 109904, 102944, 19732, 5486, 17792, 77693, 108422, 33121, 16144, 101067, 117201, 106084, 115442, 30369, 118729, 109904, 102944, 16144, 41920, 104091, 104770, 16556, 13153, 31431, 80195, 107462, 104533, 122571, 91763, 30297, 9174, 118729, 109904, 102616, 15682, 5486, 91774, 58942, 24273, 29295, 17792, 19732, 108010, 76947, 112672, 26854, 105272, 9174, 105994, 33503, 106624, 123726, 104533, 32149, 5486, 53901, 112495, 106592, 39926, 123726, 30369, 76947, 95604, 104468, 110371, 91774, 58942, 24273, 16144, 121953, 30512, 115364, 102944, 36785, 117408, 112442, 95221, 19732, 106515, 72342, 16144, 100909, 1811, 128001, 128000, 567, 103067, 95, 106367, 121254, 76622, 107253, 104874, 103792, 101908, 122924, 198, 89046, 107121, 30537, 18, 18904, 77181, 103242, 109519, 106382, 103851, 21418, 16144, 87177, 126198, 29295, 115515, 18904, 15682, 103242, 109519, 106382, 19732, 42016, 103826, 20230, 5486, 114774, 17792, 113468, 15682, 122270, 102769, 117598, 56051, 109606, 116787, 5486, 107693, 26854, 13177, 106627, 106367, 10646, 123863, 85188, 102781, 20230, 109835, 106824, 115226, 119150, 9174, 37271, 18904, 16144, 120955, 113679, 15682, 5486, 105466, 102212, 126053, 71005, 98369, 10110, 124572, 13372, 7705, 19732, 104622, 45829, 98369, 10110, 124572, 13372, 120732, 101908, 122924, 127211, 111943, 103926, 16144, 106968, 5486, 116366, 106824, 126326, 56051, 17, 17792, 109846, 5486, 22649, 101067, 19732, 102321, 103350, 15682, 108010, 30297, 102944, 16556, 103283, 104680, 16144, 45893, 117824, 47884, 100909, 104856, 76947, 114604, 1981, 9174, 126053, 71005, 98369, 19732, 104622, 45829, 117940, 5486, 126326, 104654, 30512, 27704, 107436, 18, 8107, 29295, 106613, 103188, 107113, 1811, 30358, 106956, 87177, 102052, 109020, 29295, 5486, 121410, 117073, 9080, 111681, 119775, 83601, 100, 103001, 102, 29295, 106307, 50834, 5486, 126326, 25580, 102052, 91774, 119841, 102321, 103350, 29295, 126419, 20230, 127331, 33503, 39926, 64121, 38144, 85707, 107436, 91774, 105262, 101200, 115717, 108948, 106483, 117714, 34171, 35083, 16144, 16937, 15120, 105260, 29295, 27384, 112495, 113385, 16556, 106627, 106367, 102677, 121507, 30512, 102647, 102189, 9174, 30813, 38144, 106627, 106367, 123863, 33334, 35330, 16144, 87177, 109156, 107462, 126145, 5486, 101557, 108, 118835, 42506, 5486, 113598, 101662, 106382, 5486, 80539, 112686, 106518, 17620, 58318, 16144, 18, 59739, 20230, 119448, 47884, 17620, 76622, 110071, 1811, 110382, 126328, 13177, 112686, 106518, 17620, 58318, 10646, 112649, 117295, 85188, 35330, 20230, 108526, 38248, 104, 22398, 39926, 87177, 30512, 103130, 62004, 106956, 119150, 9174, 567, 109517, 94, 106518, 17620, 58318, 112649, 117295, 85188, 35330, 198, 112686, 106518, 17620, 58318, 107118, 5486, 126326, 126867, 101908, 122924, 16556, 113638, 102334, 112686, 106518, 30512, 102097, 70203, 54926, 106592, 112844, 1811, 67645, 112384, 116421, 13372, 104577, 104856, 103836, 46729, 104309, 32977, 103359, 47523, 117282, 1811, 110382, 77181, 5486, 112686, 106518, 30512, 17620, 58318, 54926, 110366, 10110, 126053, 71005, 98369, 7705, 19732, 112686, 106518, 30512, 17620, 58318, 107001, 110366, 10110, 104622, 45829, 98369, 7705, 103306, 122984, 109768, 108895, 9174, 14711, 109517, 94, 106518, 30512, 17620, 58318, 54926, 110366, 16144 ]
[ 85188, 35330, 198, 10110, 127181, 126465, 15682, 13177, 121022, 100823, 103826, 52118, 105665, 103826, 10646, 26854, 105879, 37271, 18904, 15682, 126053, 71005, 98369, 110366, 16144, 107803, 23954, 118075, 35330, 103842, 255, 16556, 112686, 106518, 17620, 58318, 107001, 126513, 5486, 85188, 35330, 15682, 102404, 21990, 21105, 103, 16995, 9174, 119560, 16937, 91875, 106518, 113245, 112686, 106518, 17620, 58318, 16144, 126513, 5486, 85188, 35330, 29295, 102404, 21990, 54926, 125396, 107407, 9174, 112686, 106518, 17620, 58318, 103306, 16937, 91875, 106518, 30512, 58318, 107800, 126513, 5486, 39177, 95001, 16556, 92148, 110, 110968, 122291, 102944, 19732, 64121, 26854, 84389, 112686, 106518, 30512, 17620, 58318, 54926, 110366, 16556, 92148, 110, 110968, 32938, 50928, 29295, 102404, 21990, 39926, 103801, 16995, 85188, 35330, 10110, 32938, 50928, 85188, 19732, 101987, 70821, 85188, 7705, 29295, 32149, 117295, 9174, 64780, 92148, 110, 110968, 32938, 50928, 15682, 114363, 103722, 46729, 20230, 50021, 111813, 54926, 106592, 33334, 125683, 62004, 54926, 9174, 126892, 16937, 91875, 106518, 116749, 16144, 39177, 95001, 966, 110743, 30512, 72404, 105262, 104734, 102465, 104770, 9458, 102181, 55723, 9458, 110135, 114840, 9458, 103621, 122981, 38093, 102351, 112607, 104309, 30512, 112686, 106518, 17620, 58318, 56051, 107803, 32977, 39177, 95001, 16556, 92148, 110, 110968, 122291, 19732, 64121, 26854, 84389, 5486, 119560, 42016, 103826, 5486, 85188, 35330, 29295, 102404, 21990, 54926, 9174, 11144, 120098, 112479, 118075, 102321, 35330, 9458, 113838, 35330, 16556, 112686, 106518, 17620, 58318, 126198, 126513, 85188, 35330, 29295, 32149, 124403, 9174, 119560, 106627, 106367, 123090, 104157, 101987, 11883, 16937, 91875, 106518, 30512, 17620, 58318, 54926, 107803, 5486, 3101, 15, 110743, 16144, 115612, 103851, 21418, 30512, 126543, 108608, 9174, 126892, 80673, 5486, 117727, 106627, 106367, 16144, 112772, 112686, 106518, 17620, 58318, 112990, 5486, 55487, 115018, 30046, 102677, 115612, 116690, 30046, 111363, 92148, 110, 110968, 108176, 105879, 3101, 15, 110743, 16144, 115612, 103851, 21418, 16144, 126543, 15682, 118765, 1811, 43514, 26854, 64121, 20230, 5486, 106627, 106367, 25580, 7, 106367, 21589, 119, 16325, 8, 20230, 5486, 106367, 21589, 119, 117232, 29295, 508, 8107, 71689, 101182, 55487, 115018, 30046, 55031, 104157, 101987, 11883, 16937, 91875, 106518, 102420, 15682, 104157, 101987, 11883, 16937, 91875, 106518, 30512, 115181, 54926, 124122, 35330, 103842, 255, 30512, 13647, 230, 58318, 16556, 115181, 56051, 107803, 102052, 124620, 13647, 230, 58318, 85188, 16144, 55487, 115018, 30046, 103851, 21418, 16144, 66378, 27452, 36761, 107407, 1811, 109215, 77195, 30512, 112624, 28713, 107113, 107803, 5486, 13647, 230, 58318, 85188, 16144, 75146, 17920, 236, 103851, 21418, 5120, 110743, 121409, 13647, 230, 58318, 85188, 16144, 111681, 85188, 121374, 55031, 17, 103633, 110743, 103296, 16144, 35330, 109518, 30512, 103851, 21418, 54926, 105908, 108608, 9174, 14711, 109517, 94, 106518, 30512, 17620, 58318, 107001, 110366, 16144, 85188, 35330, 198, 10110, 127181, 126465, 15682, 13177, 121022, 100823, 103826, 127587, 240, 105665, 103826, 10646, 26854, 105879, 37271, 18904, 15682, 104622, 45829, 98369, 110366, 16144, 107803, 23954, 117032, 5486, 112686, 106518, 30512, 43568, 101268, 253, 16556, 115181, 56051, 107803, 102052, 13647, 230, 58318, 85188, 16144, 103359, 47523, 117282, 29295, 5486, 106627, 106367, 20230, 112183, 30297, 112686, 106518, 17620, 58318, 16144, 126513, 5486, 13647, 230, 58318, 114475, 107674, 102944, 126194, 5486, 112686, 106518, 17620, 58318, 109311, 32018, 112607, 20230, 75146, 109669, 50834, 110698, 47000, 114475, 107674, 102944, 103195, 103846, 85188, 35330, 10110, 13647, 230, 58318, 85188, 9458, 32938, 50928, 85188, 9458, 101987, 70821, 85188, 119735, 32149, 124403, 9174, 118075, 112686, 106518, 17620, 58318, 16144, 109518, 29295, 106367, 21589, 119, 16325, 16144, 101908, 122924, 16144, 108975, 48634, 113468, 50928, 28713, 112686, 106518, 16144, 95001, 109518, 71289, 106116, 127177, 115517, 30512, 78698, 101557, 106, 39926, 43240, 103188, 105557, 30369, 107803, 102052, 106116, 43240, 103188, 105557, 30369, 105494, 20230, 13647, 230, 58318, 85188, 29295, 32149, 117295, 9174, 119560, 13647, 230, 58318, 85188, 71289, 50021, 106307, 85188, 30512, 103048, 104028, 113009, 49691, 121, 99741, 106627, 106367, 126198, 19732, 107803, 102052, 5486, 106627, 106367, 113468, 32977, 33503, 100472, 112686, 106518, 122617, 20230, 13647, 230, 58318, 85188, 29295, 32149, 117295, 9174, 126892, 112686, 106518, 17620, 58318, 29295, 16937, 91875, 106518, 16144, 107803, 5486, 112686, 106518, 30512, 17620, 58318, 107001, 110366, 20230, 16937, 91875, 106518, 115181, 85188, 29295, 111681, 85188, 107001, 9174, 567, 103067, 95, 106367, 46034, 106307, 15682, 67645, 16144, 39177, 23538, 117657, 125231, 32149, 95532, 37271, 18904, 16144, 106627, 106367, 121960, 15682, 5486, 126053, 71005, 98369, 9458, 104622, 45829, 98369, 104836, 24273, 20230, 106627, 106367, 114640, 115991, 5486, 95399, 71289, 111201, 46034, 106307, 30512, 105721, 78183, 33503, 56051, 16995, 103826, 109846, 5486, 104622, 45829, 98369, 107407, 9080, 16027, 20230, 118146, 71289, 104533, 5486, 89408, 15682, 100204, 62004, 20230, 106627, 106367, 56051, 47307, 44971, 52414, 109853, 16144, 118331, 61398, 29295, 30832, 109156, 100472, 9174, 58426, 78943, 45893, 104088, 38144, 105104, 19732, 122141, 16995, 116285, 5486, 8107, 31958, 76622, 20230, 106627, 106367, 54926, 117813, 27327, 17792, 76947, 43240, 118544, 32977, 31195, 10646, 127091, 114667, 29295, 30591, 76947, 58426, 39177, 23538, 117657, 105110, 5486, 105994, 104067, 105352, 102131, 16995, 100472, 102944, 107407, 16144, 77181, 19732, 113727, 5486, 104873, 115694, 64121, 30369, 120266, 56051, 9174, 567, 108182, 50928, 103851, 21418, 123863, 30926, 105904, 198, 106627, 106367, 123863, 85188, 102781, 20230, 116771, 20230, 100815, 30832, 126693, 5486, 8107, 31958, 76622, 20230, 106627, 106367, 54926, 112973, 104712, 109900, 15682, 117813, 27327, 17792, 109860, 102677, 117735, 77181, 43568, 47884, 106116, 114667, 103306, 15682, 55487, 115018, 30046, 103851, 21418, 117083, 1811, 55487, 115018, 30046, 103851, 21418, 15682, 5486, 108446, 85188, 30046, 19732, 106367, 21589, 119, 39926, 21990, 82420, 30512, 55999, 117657, 110226, 17701, 16144, 43568, 16995, 125845, 83747, 100604, 55487, 115018, 30046, 29295, 107991, 107803, 5486, 108446, 85188, 112919, 32938, 50928, 35330, 109518, 55031, 5486, 32938, 50928, 103851, 21418, 107001, 102944, 109846, 106116, 106053, 23187, 15682, 13177, 58426, 116358, 717, 9953, 2148, 117073, 102321, 103397, 10646, 16556, 104662, 115464, 9174, 59739, 109709, 8107, 106968, 20230, 106627, 106367, 56051, 19732, 112990, 106116, 116358, 55487, 115018, 30046, 103851, 21418, 15682, 126543, 84389, 100604, 1811, 43514, 26854, 64121, 20230, 8107, 106968, 20230, 106367, 21589, 119, 56051, 107803, 5486, 55487, 115018, 30046, 103851, 21418, 16144, 103359, 47523, 103195, 105110, 81219, 106116, 116358, 55487, 115018, 30046, 103851, 21418, 16144, 126543, 29295, 101682, 76622, 110071, 100909, 108176, 1811, 59739, 109709, 85188, 35330, 16144, 106592, 78698, 107800, 107803, 5486, 8107, 30512, 104087, 105262, 105908, 108608, 105110, 81219, 5486, 8107, 31958, 76622, 16144, 106627, 106367, 117408, 112973, 126521, 105272, 9174, 567, 110398, 112624, 26854, 126326, 104654, 30512, 198, 37271, 18904, 15682, 106627, 106367, 123863, 85188, 102781, 102677, 118733, 108149, 47884, 103296, 85188, 35330, 114556, 39926, 16144, 87177, 15024, 30512, 39926, 105898, 1811, 106627, 106367, 102052, 5486, 112686, 106518, 17620, 58318, 16144, 43511, 105352, 101557, 108, 118835, 42506, 71289, 113598, 101662, 106382, 5486, 104836, 24273, 16144, 87177, 15024, 40862, 16995, 104309, 118969, 75694, 17129, 26854, 109606, 107407, 115397, 87217, 16144, 50338, 104662, 105226, 15682, 5486, 106627, 106367, 104856, 110104, 101200, 35757, 112624, 26854, 126326, 104654, 30512, 113638, 16995, 100481, 105784, 112973, 22649, 101067, 108995, 32149, 9174, 11144, 97518, 89046, 77219, 112479, 9458, 101918, 16144, 123010, 111108, 5486, 119147, 117399, 5486, 109755, 116337, 20230, 114876, 100472, 125344, 85188, 35330, 117120, 22649, 103067, 239, 125173, 103851, 21418, 16556, 101307, 104698, 30512, 117355, 114485, 119607, 198, 9458, 85188, 35330, 16144, 13177, 40053, 109375, 118587, 107750, 58942, 106773, 32131, 37823, 108941, 16073, 15682, 29504, 38093, 104760, 102351, 19732, 57106, 103854, 104533, 16937, 60632, 36785, 198, 9458, 44971, 38248, 115, 48552, 46034, 103991, 5486, 102717, 109416, 102099, 109972, 106529, 108270, 42634, 16556, 101682, 105784, 41007, 110124, 95, 16995, 107792, 85188, 41007, 30512, 68759, 115332, 119607, 128001, 128000, 126783, 20230, 47000, 119188, 106786, 100762, 233, 15682, 5486, 53610, 29295, 22398, 91062, 106240, 20230, 89753, 104028, 103826, 20230, 109431, 37656, 26854, 53508, 122, 55487, 30512, 32977, 76947, 102332, 22324, 116216, 61689, 1811, 63415, 43240, 119064, 112303, 102138, 29295, 105360, 126559, 104346, 40474, 101182, 121640, 30512, 107471, 105564, 54926, 1811, 63415, 76706, 48634, 107407, 116537, 16, 17792, 72661, 16995, 104984, 107430, 75267, 16144, 25132, 108, 116310, 116499, 124500, 104533, 91763, 30297, 16144, 119627, 31195, 1811, 116195, 95, 104028, 16556, 114652, 33655, 30297, 123646, 106240, 71289, 110904, 102158, 30512, 112854, 107290, 33334, 126145, 102924, 60632, 125651, 1811, 43444, 20, 7705, 119732, 47307, 37823, 103906, 36117, 95, 104028, 17792, 30512, 121846, 117657, 109228, 25197, 47307, 37823, 103906, 36117, 95, 104028, 17792, 115717, 106956, 16144, 105110, 5486, 119732, 47307, 37823, 103906, 36117, 95, 104028, 17792, 20230, 60358, 109669, 102532, 106116, 123120, 53229, 22649, 71289, 113727, 24273, 30512, 48864, 104127, 64121, 30369, 123017, 33334, 125683, 62004, 1811, 5971, 198, 51330, 13177, 85, 6388, 10646, 15682, 32131, 57933, 16073, 102158, 16556, 13177, 51609, 66383, 95604, 115552, 115991, 5486, 114516, 16144, 118958, 123457, 112391, 124545, 13177, 76706, 48634, 107407, 59712, 24186, 95221, 107407, 66383, 95604, 105933, 115552, 40862, 117201, 17792, 113115, 39926, 38129, 84389, 33541, 1811, 121655, 107173, 19732, 13177, 116294, 67075, 10646, 102052, 13177, 101513, 53283, 20230, 105469, 102189, 17792, 66383, 95604, 115552, 115991, 33541, 1811, 104975, 102158, 13177, 85, 2223, 488, 117503, 115552, 15682, 13177, 118958, 48634, 5486, 76706, 48634, 10646, 16556, 5486, 32977, 43514, 85791, 25827, 71493, 47307, 71493, 96452, 102158, 16144, 13177, 119732, 47307, 37823, 103906, 66383, 112361, 38641, 1811, 45631, 109466, 25827, 108176, 66383, 95604, 112690, 16144, 115552, 15682, 5486, 45631, 110095, 16995, 29295, 108008, 20230, 104195, 47884, 109020, 118969, 10646, 71289, 45631, 110095, 48634, 9458, 117375, 48634, 29295, 104195, 47884, 109020, 100909, 10646, 115717, 33541, 1811, 220, 17, 5232, 119732, 47307, 37823, 103906, 36117, 95, 104028, 19732, 117952, 104028, 107707, 66378, 17599, 112, 20, 59739, 43444, 16, 7705, 108064, 32977, 24186, 95221, 102362, 56965, 123726, 100481, 104984, 5486, 104873, 121240, 104712, 9080, 32977, 30591, 104984, 5486, 109161, 16995, 9080, 32977, 57903, 33541, 1811, 220, 105677, 64121, 16144, 9080, 72661, 13177, 117876, 30512, 109768, 100604, 19732, 66383, 91763, 76947, 114732, 17792, 125030, 76947, 15682, 121906, 16995, 100472, 115552, 72661, 116749, 19732, 57326, 102803, 102832, 84477, 16144, 82973, 19732, 117876, 16144, 82973, 16144, 110191, 9458, 90962, 52591, 116825, 105784, 105908, 111108, 67016, 100472, 31431, 78434, 1811, 220, 67645, 112384, 32977, 103826, 104680, 26854, 125641, 29295, 36117, 95, 104028, 102677, 28542, 77181, 55999, 33035, 127145, 1811, 5971, 198, 13177, 115200, 16995, 26854, 66383, 112391, 100934, 110018, 72661, 5486, 49838, 105791, 16556, 16995, 17663, 106592, 64209, 29295, 76622, 17129, 109954, 1811, 45631, 119732, 47307, 37823, 103906, 117503, 112690, 16144, 33655, 16995, 24273, 45631, 119732, 47307, 37823, 103906, 117503, 112690, 16144, 33655, 16995, 24273, 15682, 5486, 25580, 70141, 112495, 113173, 37689, 109375, 19732, 102494, 78459, 102832, 38248, 115, 78205, 16073, 116474, 30369, 95221, 95371, 69978, 76947, 102532, 108882, 110993, 112535, 123120, 103792, 17792, 113115, 39926, 33655, 30297, 102677, 100909, 115717, 33541, 1811, 4996, 43002, 116825, 107674, 105494, 120938, 17297, 20230, 89783, 116664, 30512, 868, 64810, 109482, 39607, 69978, 28713, 127397, 5486, 35330, 101335, 47260, 104603, 37823, 104309, 16556, 125174, 18655, 76947, 23039, 50834, 33541, 1811, 109517, 119, 11883, 5232, 19, 11, 931, 35757, 25580, 74482, 10110, 105994, 16556, 71289, 100472, 107803, 1811, 45631, 119732, 47307, 37823, 103906, 107407, 59712, 119732, 47307, 37823, 103906, 29295, 126574, 59712, 119732, 47307, 37823, 103906, 36117, 95, 104028, 10646, 104309, 19732, 33655, 30297, 45631, 119732, 47307, 37823, 103906, 66383, 95604, 112690, 15682, 5486, 17905, 43032, 56051, 104466, 5486, 17792, 113115, 39926, 38129, 54926, 112690, 16556, 36896, 109134, 95221, 71289, 76706, 48634, 107407, 59712, 102494, 78459, 102832, 38248, 115, 78205, 16073, 29295, 126574, 66383, 16995, 100472, 103826, 45829, 30512, 21405, 102321, 54926, 110115, 33655, 123671, 33541, 1811, 116056, 105933, 116690, 117084, 114732, 104468, 5486, 127298, 48864, 109904, 91774, 30590, 55031, 112844, 19732, 5486, 102099, 107624, 95001, 16144, 103167, 16995, 114754, 14309, 98, 31431, 126172, 16995, 19732, 116216, 108086, 5486, 107202, 102800, 101067, 16995, 30512, 21105, 103, 29295, 33503, 32977, 120007, 20230, 121299, 106548, 54926, 118733, 5486, 32149, 103950, 100204, 38144, 37026, 113797, 64209, 30512, 46456, 58942, 100934, 113702, 117084, 114732, 16144, 38641, 1811, 45631, 78183, 102802, 10646, 15682, 13177, 34273, 239, 15973, 224, 26854, 104346, 110999, 1811, 5971, 198, 57942, 251, 100472, 17129, 6806, 6704, 100, 246, 45829, 71289, 5486, 76706, 48634, 20230, 112624, 43514, 100934, 103826, 45829, 30512, 21405, 56051, 112690, 16556, 5486, 124908, 109519, 102321, 75267, 104309, 77181, 104309, 16556, 118958, 29295, 109606, 103470, 109205, 69978, 110731, 106592, 20379, 17663, 60868, 76171, 103195, 13177, 119732, 122258, 60868, 76171, 118587, 105838, 39926, 13177, 119732, 122258, 66383, 16995, 61689, 1811, 103423, 104, 61994, 28713, 30369, 6806, 63415, 120065, 56051, 49792, 101908, 29295, 121995, 55723, 20230, 58666, 102800, 110999, 30512, 114001, 58942, 100934, 1811, 59363, 53953, 107809, 16144, 118958, 48634, 71289, 21990, 95221, 30512, 58318, 105262, 48634, 97718, 37689, 6806, 220, 117876, 71289, 109739, 102802, 104309, 37087, 38144, 16144, 120266, 37087, 48634, 220, 117876, 102052, 109134, 95221, 30512, 36785, 72342, 100604, 107493, 5486, 109739, 102802, 16144, 103846, 105110, 37087, 123457, 20834, 122101, 6447, 102677 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 85188, 35330, 198, 10110, 127181, 126465, 15682, 13177, 121022, 100823, 103826, 52118, 105665, 103826, 10646, 26854, 105879, 37271, 18904, 15682, 126053, 71005, 98369, 110366, 16144, 107803, 23954, 118075, 35330, 103842, 255, 16556, 112686, 106518, 17620, 58318, 107001, 126513, 5486, 85188, 35330, 15682, 102404, 21990, 21105, 103, 16995, 9174, 119560, 16937, 91875, 106518, 113245, 112686, 106518, 17620, 58318, 16144, 126513, 5486, 85188, 35330, 29295, 102404, 21990, 54926, 125396, 107407, 9174, 112686, 106518, 17620, 58318, 103306, 16937, 91875, 106518, 30512, 58318, 107800, 126513, 5486, 39177, 95001, 16556, 92148, 110, 110968, 122291, 102944, 19732, 64121, 26854, 84389, 112686, 106518, 30512, 17620, 58318, 54926, 110366, 16556, 92148, 110, 110968, 32938, 50928, 29295, 102404, 21990, 39926, 103801, 16995, 85188, 35330, 10110, 32938, 50928, 85188, 19732, 101987, 70821, 85188, 7705, 29295, 32149, 117295, 9174, 64780, 92148, 110, 110968, 32938, 50928, 15682, 114363, 103722, 46729, 20230, 50021, 111813, 54926, 106592, 33334, 125683, 62004, 54926, 9174, 126892, 16937, 91875, 106518, 116749, 16144, 39177, 95001, 966, 110743, 30512, 72404, 105262, 104734, 102465, 104770, 9458, 102181, 55723, 9458, 110135, 114840, 9458, 103621, 122981, 38093, 102351, 112607, 104309, 30512, 112686, 106518, 17620, 58318, 56051, 107803, 32977, 39177, 95001, 16556, 92148, 110, 110968, 122291, 19732, 64121, 26854, 84389, 5486, 119560, 42016, 103826, 5486, 85188, 35330, 29295, 102404, 21990, 54926, 9174, 11144, 120098, 112479, 118075, 102321, 35330, 9458, 113838, 35330, 16556, 112686, 106518, 17620, 58318, 126198, 126513, 85188, 35330, 29295, 32149, 124403, 9174, 119560, 106627, 106367, 123090, 104157, 101987, 11883, 16937, 91875, 106518, 30512, 17620, 58318, 54926, 107803, 5486, 3101, 15, 110743, 16144, 115612, 103851, 21418, 30512, 126543, 108608, 9174, 126892, 80673, 5486, 117727, 106627, 106367, 16144, 112772, 112686, 106518, 17620, 58318, 112990, 5486, 55487, 115018, 30046, 102677, 115612, 116690, 30046, 111363, 92148, 110, 110968, 108176, 105879, 3101, 15, 110743, 16144, 115612, 103851, 21418, 16144, 126543, 15682, 118765, 1811, 43514, 26854, 64121, 20230, 5486, 106627, 106367, 25580, 7, 106367, 21589, 119, 16325, 8, 20230, 5486, 106367, 21589, 119, 117232, 29295, 508, 8107, 71689, 101182, 55487, 115018, 30046, 55031, 104157, 101987, 11883, 16937, 91875, 106518, 102420, 15682, 104157, 101987, 11883, 16937, 91875, 106518, 30512, 115181, 54926, 124122, 35330, 103842, 255, 30512, 13647, 230, 58318, 16556, 115181, 56051, 107803, 102052, 124620, 13647, 230, 58318, 85188, 16144, 55487, 115018, 30046, 103851, 21418, 16144, 66378, 27452, 36761, 107407, 1811, 109215, 77195, 30512, 112624, 28713, 107113, 107803, 5486, 13647, 230, 58318, 85188, 16144, 75146, 17920, 236, 103851, 21418, 5120, 110743, 121409, 13647, 230, 58318, 85188, 16144, 111681, 85188, 121374, 55031, 17, 103633, 110743, 103296, 16144, 35330, 109518, 30512, 103851, 21418, 54926, 105908, 108608, 9174, 14711, 109517, 94, 106518, 30512, 17620, 58318, 107001, 110366, 16144, 85188, 35330, 198, 10110, 127181, 126465, 15682, 13177, 121022, 100823, 103826, 127587, 240, 105665, 103826, 10646, 26854, 105879, 37271, 18904, 15682, 104622, 45829, 98369, 110366, 16144, 107803, 23954, 117032, 5486, 112686, 106518, 30512, 43568, 101268, 253, 16556, 115181, 56051, 107803, 102052, 13647, 230, 58318, 85188, 16144, 103359, 47523, 117282, 29295, 5486, 106627, 106367, 20230, 112183, 30297, 112686, 106518, 17620, 58318, 16144, 126513, 5486, 13647, 230, 58318, 114475, 107674, 102944, 126194, 5486, 112686, 106518, 17620, 58318, 109311, 32018, 112607, 20230, 75146, 109669, 50834, 110698, 47000, 114475, 107674, 102944, 103195, 103846, 85188, 35330, 10110, 13647, 230, 58318, 85188, 9458, 32938, 50928, 85188, 9458, 101987, 70821, 85188, 119735, 32149, 124403, 9174, 118075, 112686, 106518, 17620, 58318, 16144, 109518, 29295, 106367, 21589, 119, 16325, 16144, 101908, 122924, 16144, 108975, 48634, 113468, 50928, 28713, 112686, 106518, 16144, 95001, 109518, 71289, 106116, 127177, 115517, 30512, 78698, 101557, 106, 39926, 43240, 103188, 105557, 30369, 107803, 102052, 106116, 43240, 103188, 105557, 30369, 105494, 20230, 13647, 230, 58318, 85188, 29295, 32149, 117295, 9174, 119560, 13647, 230, 58318, 85188, 71289, 50021, 106307, 85188, 30512, 103048, 104028, 113009, 49691, 121, 99741, 106627, 106367, 126198, 19732, 107803, 102052, 5486, 106627, 106367, 113468, 32977, 33503, 100472, 112686, 106518, 122617, 20230, 13647, 230, 58318, 85188, 29295, 32149, 117295, 9174, 126892, 112686, 106518, 17620, 58318, 29295, 16937, 91875, 106518, 16144, 107803, 5486, 112686, 106518, 30512, 17620, 58318, 107001, 110366, 20230, 16937, 91875, 106518, 115181, 85188, 29295, 111681, 85188, 107001, 9174, 567, 103067, 95, 106367, 46034, 106307, 15682, 67645, 16144, 39177, 23538, 117657, 125231, 32149, 95532, 37271, 18904, 16144, 106627, 106367, 121960, 15682, 5486, 126053, 71005, 98369, 9458, 104622, 45829, 98369, 104836, 24273, 20230, 106627, 106367, 114640, 115991, 5486, 95399, 71289, 111201, 46034, 106307, 30512, 105721, 78183, 33503, 56051, 16995, 103826, 109846, 5486, 104622, 45829, 98369, 107407, 9080, 16027, 20230, 118146, 71289, 104533, 5486, 89408, 15682, 100204, 62004, 20230, 106627, 106367, 56051, 47307, 44971, 52414, 109853, 16144, 118331, 61398, 29295, 30832, 109156, 100472, 9174, 58426, 78943, 45893, 104088, 38144, 105104, 19732, 122141, 16995, 116285, 5486, 8107, 31958, 76622, 20230, 106627, 106367, 54926, 117813, 27327, 17792, 76947, 43240, 118544, 32977, 31195, 10646, 127091, 114667, 29295, 30591, 76947, 58426, 39177, 23538, 117657, 105110, 5486, 105994, 104067, 105352, 102131, 16995, 100472, 102944, 107407, 16144, 77181, 19732, 113727, 5486, 104873, 115694, 64121, 30369, 120266, 56051, 9174, 567, 108182, 50928, 103851, 21418, 123863, 30926, 105904, 198, 106627, 106367, 123863, 85188, 102781, 20230, 116771, 20230, 100815, 30832, 126693, 5486, 8107, 31958, 76622, 20230, 106627, 106367, 54926, 112973, 104712, 109900, 15682, 117813, 27327, 17792, 109860, 102677, 117735, 77181, 43568, 47884, 106116, 114667, 103306, 15682, 55487, 115018, 30046, 103851, 21418, 117083, 1811, 55487, 115018, 30046, 103851, 21418, 15682, 5486, 108446, 85188, 30046, 19732, 106367, 21589, 119, 39926, 21990, 82420, 30512, 55999, 117657, 110226, 17701, 16144, 43568, 16995, 125845, 83747, 100604, 55487, 115018, 30046, 29295, 107991, 107803, 5486, 108446, 85188, 112919, 32938, 50928, 35330, 109518, 55031, 5486, 32938, 50928, 103851, 21418, 107001, 102944, 109846, 106116, 106053, 23187, 15682, 13177, 58426, 116358, 717, 9953, 2148, 117073, 102321, 103397, 10646, 16556, 104662, 115464, 9174, 59739, 109709, 8107, 106968, 20230, 106627, 106367, 56051, 19732, 112990, 106116, 116358, 55487, 115018, 30046, 103851, 21418, 15682, 126543, 84389, 100604, 1811, 43514, 26854, 64121, 20230, 8107, 106968, 20230, 106367, 21589, 119, 56051, 107803, 5486, 55487, 115018, 30046, 103851, 21418, 16144, 103359, 47523, 103195, 105110, 81219, 106116, 116358, 55487, 115018, 30046, 103851, 21418, 16144, 126543, 29295, 101682, 76622, 110071, 100909, 108176, 1811, 59739, 109709, 85188, 35330, 16144, 106592, 78698, 107800, 107803, 5486, 8107, 30512, 104087, 105262, 105908, 108608, 105110, 81219, 5486, 8107, 31958, 76622, 16144, 106627, 106367, 117408, 112973, 126521, 105272, 9174, 567, 110398, 112624, 26854, 126326, 104654, 30512, 198, 37271, 18904, 15682, 106627, 106367, 123863, 85188, 102781, 102677, 118733, 108149, 47884, 103296, 85188, 35330, 114556, 39926, 16144, 87177, 15024, 30512, 39926, 105898, 1811, 106627, 106367, 102052, 5486, 112686, 106518, 17620, 58318, 16144, 43511, 105352, 101557, 108, 118835, 42506, 71289, 113598, 101662, 106382, 5486, 104836, 24273, 16144, 87177, 15024, 40862, 16995, 104309, 118969, 75694, 17129, 26854, 109606, 107407, 115397, 87217, 16144, 50338, 104662, 105226, 15682, 5486, 106627, 106367, 104856, 110104, 101200, 35757, 112624, 26854, 126326, 104654, 30512, 113638, 16995, 100481, 105784, 112973, 22649, 101067, 108995, 32149, 9174, 11144, 97518, 89046, 77219, 112479, 9458, 101918, 16144, 123010, 111108, 5486, 119147, 117399, 5486, 109755, 116337, 20230, 114876, 100472, 125344, 85188, 35330, 117120, 22649, 103067, 239, 125173, 103851, 21418, 16556, 101307, 104698, 30512, 117355, 114485, 119607, 198, 9458, 85188, 35330, 16144, 13177, 40053, 109375, 118587, 107750, 58942, 106773, 32131, 37823, 108941, 16073, 15682, 29504, 38093, 104760, 102351, 19732, 57106, 103854, 104533, 16937, 60632, 36785, 198, 9458, 44971, 38248, 115, 48552, 46034, 103991, 5486, 102717, 109416, 102099, 109972, 106529, 108270, 42634, 16556, 101682, 105784, 41007, 110124, 95, 16995, 107792, 85188, 41007, 30512, 68759, 115332, 119607, 128001, 128000, 126783, 20230, 47000, 119188, 106786, 100762, 233, 15682, 5486, 53610, 29295, 22398, 91062, 106240, 20230, 89753, 104028, 103826, 20230, 109431, 37656, 26854, 53508, 122, 55487, 30512, 32977, 76947, 102332, 22324, 116216, 61689, 1811, 63415, 43240, 119064, 112303, 102138, 29295, 105360, 126559, 104346, 40474, 101182, 121640, 30512, 107471, 105564, 54926, 1811, 63415, 76706, 48634, 107407, 116537, 16, 17792, 72661, 16995, 104984, 107430, 75267, 16144, 25132, 108, 116310, 116499, 124500, 104533, 91763, 30297, 16144, 119627, 31195, 1811, 116195, 95, 104028, 16556, 114652, 33655, 30297, 123646, 106240, 71289, 110904, 102158, 30512, 112854, 107290, 33334, 126145, 102924, 60632, 125651, 1811, 43444, 20, 7705, 119732, 47307, 37823, 103906, 36117, 95, 104028, 17792, 30512, 121846, 117657, 109228, 25197, 47307, 37823, 103906, 36117, 95, 104028, 17792, 115717, 106956, 16144, 105110, 5486, 119732, 47307, 37823, 103906, 36117, 95, 104028, 17792, 20230, 60358, 109669, 102532, 106116, 123120, 53229, 22649, 71289, 113727, 24273, 30512, 48864, 104127, 64121, 30369, 123017, 33334, 125683, 62004, 1811, 5971, 198, 51330, 13177, 85, 6388, 10646, 15682, 32131, 57933, 16073, 102158, 16556, 13177, 51609, 66383, 95604, 115552, 115991, 5486, 114516, 16144, 118958, 123457, 112391, 124545, 13177, 76706, 48634, 107407, 59712, 24186, 95221, 107407, 66383, 95604, 105933, 115552, 40862, 117201, 17792, 113115, 39926, 38129, 84389, 33541, 1811, 121655, 107173, 19732, 13177, 116294, 67075, 10646, 102052, 13177, 101513, 53283, 20230, 105469, 102189, 17792, 66383, 95604, 115552, 115991, 33541, 1811, 104975, 102158, 13177, 85, 2223, 488, 117503, 115552, 15682, 13177, 118958, 48634, 5486, 76706, 48634, 10646, 16556, 5486, 32977, 43514, 85791, 25827, 71493, 47307, 71493, 96452, 102158, 16144, 13177, 119732, 47307, 37823, 103906, 66383, 112361, 38641, 1811, 45631, 109466, 25827, 108176, 66383, 95604, 112690, 16144, 115552, 15682, 5486, 45631, 110095, 16995, 29295, 108008, 20230, 104195, 47884, 109020, 118969, 10646, 71289, 45631, 110095, 48634, 9458, 117375, 48634, 29295, 104195, 47884, 109020, 100909, 10646, 115717, 33541, 1811, 220, 17, 5232, 119732, 47307, 37823, 103906, 36117, 95, 104028, 19732, 117952, 104028, 107707, 66378, 17599, 112, 20, 59739, 43444, 16, 7705, 108064, 32977, 24186, 95221, 102362, 56965, 123726, 100481, 104984, 5486, 104873, 121240, 104712, 9080, 32977, 30591, 104984, 5486, 109161, 16995, 9080, 32977, 57903, 33541, 1811, 220, 105677, 64121, 16144, 9080, 72661, 13177, 117876, 30512, 109768, 100604, 19732, 66383, 91763, 76947, 114732, 17792, 125030, 76947, 15682, 121906, 16995, 100472, 115552, 72661, 116749, 19732, 57326, 102803, 102832, 84477, 16144, 82973, 19732, 117876, 16144, 82973, 16144, 110191, 9458, 90962, 52591, 116825, 105784, 105908, 111108, 67016, 100472, 31431, 78434, 1811, 220, 67645, 112384, 32977, 103826, 104680, 26854, 125641, 29295, 36117, 95, 104028, 102677, 28542, 77181, 55999, 33035, 127145, 1811, 5971, 198, 13177, 115200, 16995, 26854, 66383, 112391, 100934, 110018, 72661, 5486, 49838, 105791, 16556, 16995, 17663, 106592, 64209, 29295, 76622, 17129, 109954, 1811, 45631, 119732, 47307, 37823, 103906, 117503, 112690, 16144, 33655, 16995, 24273, 45631, 119732, 47307, 37823, 103906, 117503, 112690, 16144, 33655, 16995, 24273, 15682, 5486, 25580, 70141, 112495, 113173, 37689, 109375, 19732, 102494, 78459, 102832, 38248, 115, 78205, 16073, 116474, 30369, 95221, 95371, 69978, 76947, 102532, 108882, 110993, 112535, 123120, 103792, 17792, 113115, 39926, 33655, 30297, 102677, 100909, 115717, 33541, 1811, 4996, 43002, 116825, 107674, 105494, 120938, 17297, 20230, 89783, 116664, 30512, 868, 64810, 109482, 39607, 69978, 28713, 127397, 5486, 35330, 101335, 47260, 104603, 37823, 104309, 16556, 125174, 18655, 76947, 23039, 50834, 33541, 1811, 109517, 119, 11883, 5232, 19, 11, 931, 35757, 25580, 74482, 10110, 105994, 16556, 71289, 100472, 107803, 1811, 45631, 119732, 47307, 37823, 103906, 107407, 59712, 119732, 47307, 37823, 103906, 29295, 126574, 59712, 119732, 47307, 37823, 103906, 36117, 95, 104028, 10646, 104309, 19732, 33655, 30297, 45631, 119732, 47307, 37823, 103906, 66383, 95604, 112690, 15682, 5486, 17905, 43032, 56051, 104466, 5486, 17792, 113115, 39926, 38129, 54926, 112690, 16556, 36896, 109134, 95221, 71289, 76706, 48634, 107407, 59712, 102494, 78459, 102832, 38248, 115, 78205, 16073, 29295, 126574, 66383, 16995, 100472, 103826, 45829, 30512, 21405, 102321, 54926, 110115, 33655, 123671, 33541, 1811, 116056, 105933, 116690, 117084, 114732, 104468, 5486, 127298, 48864, 109904, 91774, 30590, 55031, 112844, 19732, 5486, 102099, 107624, 95001, 16144, 103167, 16995, 114754, 14309, 98, 31431, 126172, 16995, 19732, 116216, 108086, 5486, 107202, 102800, 101067, 16995, 30512, 21105, 103, 29295, 33503, 32977, 120007, 20230, 121299, 106548, 54926, 118733, 5486, 32149, 103950, 100204, 38144, 37026, 113797, 64209, 30512, 46456, 58942, 100934, 113702, 117084, 114732, 16144, 38641, 1811, 45631, 78183, 102802, 10646, 15682, 13177, 34273, 239, 15973, 224, 26854, 104346, 110999, 1811, 5971, 198, 57942, 251, 100472, 17129, 6806, 6704, 100, 246, 45829, 71289, 5486, 76706, 48634, 20230, 112624, 43514, 100934, 103826, 45829, 30512, 21405, 56051, 112690, 16556, 5486, 124908, 109519, 102321, 75267, 104309, 77181, 104309, 16556, 118958, 29295, 109606, 103470, 109205, 69978, 110731, 106592, 20379, 17663, 60868, 76171, 103195, 13177, 119732, 122258, 60868, 76171, 118587, 105838, 39926, 13177, 119732, 122258, 66383, 16995, 61689, 1811, 103423, 104, 61994, 28713, 30369, 6806, 63415, 120065, 56051, 49792, 101908, 29295, 121995, 55723, 20230, 58666, 102800, 110999, 30512, 114001, 58942, 100934, 1811, 59363, 53953, 107809, 16144, 118958, 48634, 71289, 21990, 95221, 30512, 58318, 105262, 48634, 97718, 37689, 6806, 220, 117876, 71289, 109739, 102802, 104309, 37087, 38144, 16144, 120266, 37087, 48634, 220, 117876, 102052, 109134, 95221, 30512, 36785, 72342, 100604, 107493, 5486, 109739, 102802, 16144, 103846, 105110, 37087, 123457, 20834, 122101, 6447, 102677 ]
[ 116537, 43240, 117714, 111769, 123253, 32149, 1811, 45631, 36117, 95, 104028, 117503, 103359, 104577, 102158, 6806, 63091, 17620, 20230, 37026, 22023, 107407, 45631, 119732, 47307, 37823, 103906, 10646, 101182, 116537, 5486, 21388, 113529, 120837, 25580, 70141, 50834, 125030, 33503, 58942, 110924, 55031, 122270, 13153, 101544, 54926, 105908, 108608, 105879, 36896, 19653, 33014, 111186, 10646, 29295, 102750, 102472, 103906, 52884, 16556, 119732, 47307, 37823, 103906, 16144, 100604, 107707, 98406, 15682, 57903, 33541, 1811, 126003, 102439, 25197, 47307, 37823, 103906, 6806, 63415, 53610, 119533, 55723, 15682, 105647, 46034, 107118, 78244, 119841, 29295, 5486, 78183, 102802, 30813, 102802, 16144, 104346, 86354, 30512, 110240, 16995, 100481, 38144, 33565, 117, 50834, 126268, 110071, 1811, 45631, 30813, 102802, 10646, 15682, 91875, 113124, 13177, 30813, 104369, 118587, 13372, 113124, 33208, 56051, 102944, 38641, 1811, 42579, 253, 104983, 20230, 106786, 100762, 233, 30512, 47000, 105784, 104468, 15120, 91774, 112825, 110904, 102131, 77181, 57903, 33541, 29295, 5486, 106722, 32149, 103950, 21909, 16144, 37823, 108526, 103202, 72516, 118816, 117876, 29295, 122202, 26854, 105879, 5486, 53508, 122, 55487, 29295, 100783, 102, 71289, 32149, 120195, 115926, 105047, 120195, 115926, 114950, 17905, 61304, 16144, 103826, 26854, 109606, 29295, 102404, 21990, 54926, 105879, 61633, 38641, 1811, 5971, 198, 95221, 109669, 124233, 21105, 243, 6806, 63415, 106656, 16144, 106942, 102052, 85701, 102083, 100472, 110999, 119703, 101832, 1811, 220, 58426, 112661, 56965, 15682, 120175, 104526, 102189, 31431, 101128, 102, 102189, 28713, 120837, 5486, 30813, 104043, 125174, 109913, 107290, 105994, 37026, 22023, 29295, 13153, 101544, 54926, 103188, 39607, 103306, 21388, 113529, 30512, 21990, 32149, 39926, 123120, 109768, 47884, 105908, 125545, 1811, 75660, 220, 18, 6806, 45631, 95221, 25446, 117503, 104770, 102158, 15682, 13177, 125042, 45736, 59712, 113797, 16906, 111, 10646, 104309, 115991, 106116, 16325, 102052, 13177, 17905, 25446, 10646, 32977, 96412, 17129, 106824, 61689, 1811, 118830, 47884, 20230, 16995, 104984, 119732, 47307, 37823, 103906, 107407, 107707, 123120, 30512, 53283, 30369, 115789, 125545, 1811, 45631, 78183, 102802, 30813, 102802, 117503, 27452, 103306, 15682, 108948, 108553, 71289, 102433, 107983, 104674, 5486, 53610, 119533, 55723, 104309, 29295, 123680, 102639, 102204, 33541, 1811, 63415, 106649, 104261, 71289, 108104, 45893, 104309, 19732, 5486, 104346, 89753, 46091, 11881, 100, 26854, 9080, 104680, 30512, 103188, 48154, 103792, 1811, 220, 123011, 62004, 45631, 116294, 67075, 10646, 15682, 114654, 16144, 13177, 89619, 10646, 29295, 102158, 39084, 16556, 36896, 101513, 53283, 59712, 120073, 59712, 113954, 48634, 59712, 101513, 108436, 16144, 60632, 47884, 59712, 19732, 25827, 43514, 10646, 5486, 53900, 13177, 101513, 53283, 20230, 105469, 102189, 17792, 66383, 95604, 115552, 16556, 33655, 123671, 5486, 116254, 90397, 233, 20230, 103892, 29295, 103424, 47884, 38144, 53953, 53283, 31431, 103195, 102677, 103378, 126194, 36896, 15017, 119, 111331, 60632, 102334, 111090, 68408, 39880, 114792, 59739, 17792, 59712, 127749, 20230, 114146, 83, 122678, 101513, 106608, 104721, 20230, 103899, 58942, 125334, 122101, 17792, 66383, 95604, 115552, 16556, 33655, 123671, 33541, 1811, 5971, 198, 10110, 19, 7705, 123120, 48634, 107407, 115355, 38574, 15682, 24186, 95221, 16556, 31958, 30369, 47884, 111243, 116898, 75694, 102677, 110018, 5486, 123120, 20230, 103350, 23039, 118765, 17792, 32977, 61689, 123794, 1811, 126003, 102439, 25197, 47307, 37823, 103906, 6806, 65218, 46034, 47884, 16995, 107462, 100604, 110018, 71289, 5486, 17905, 65743, 20230, 91062, 71493, 59739, 102334, 5486, 34048, 17297, 20230, 25197, 32131, 104043, 56051, 39177, 104309, 59739, 108064, 16995, 13177, 109161, 40526, 10646, 71289, 13177, 31374, 248, 101576, 112, 66383, 16995, 100472, 68759, 25197, 96452, 22398, 26854, 106592, 40526, 116446, 103801, 16995, 29295, 43514, 119627, 5486, 104699, 104043, 22957, 33503, 58942, 17129, 109954, 1811, 45631, 119732, 47307, 37823, 103906, 117503, 115552, 15682, 5486, 108936, 112535, 45631, 118958, 48634, 9458, 76706, 48634, 9458, 104654, 48634, 9458, 76739, 124643, 104603, 116219, 103195, 100909, 9458, 80805, 102756, 52591, 33710, 103195, 100909, 9458, 123726, 30369, 48634, 29295, 6079, 118, 109466, 103195, 100909, 9458, 47307, 52591, 103195, 100909, 126795, 28713, 33121, 104195, 16995, 100909, 63415, 102097, 48634, 9458, 110095, 48634, 16144, 104195, 30813, 10646, 104309, 115717, 33541, 1811, 13728, 7910, 311, 305, 404, 351, 3444, 323, 305, 404, 351, 3444, 311, 10083, 42888, 13, 63415, 22957, 51330, 121640, 30512, 17129, 42891, 114225, 103130, 104004, 19732, 5486, 104346, 89753, 30813, 30512, 112391, 30369, 86354, 39135, 29295, 108285, 29295, 30369, 1811, 108477, 108, 111201, 110901, 112568, 15682, 116294, 67075, 20230, 105469, 126559, 66383, 117952, 103468, 33503, 108048, 15682, 13177, 26854, 107188, 32149, 28190, 101828, 16995, 103899, 58942, 36785, 101832, 59712, 103892, 29295, 13828, 112, 107290, 30369, 101832, 66383, 106782, 240, 62004, 112690, 72661, 101182, 16144, 38641, 1811, 106369, 32977, 104004, 50834, 10646, 36896, 89753, 10646, 15682, 13177, 15120, 105647, 30512, 26854, 17663, 102944, 1811, 123485, 105352, 106786, 100762, 233, 16144, 120219, 117824, 100472, 125344, 125980, 16937, 103424, 71289, 30177, 106307, 16937, 103424, 102083, 100472, 5486, 49792, 30926, 16144, 126101, 109606, 29295, 102404, 21990, 107113, 30926, 32977, 113727, 102204, 33541, 1811, 5971, 198, 9458, 13177, 122163, 48634, 10646, 45631, 33014, 48634, 10646, 45631, 59363, 51609, 112415, 20230, 109215, 26854, 117401, 106556, 10646, 63415, 103892, 15682, 103424, 47884, 124897, 29295, 33014, 48634, 102052, 107188, 111331, 82973, 115991, 33541, 6447, 63415, 33014, 48634, 115991, 30591, 17129, 76947, 114732, 101200, 16556, 5486, 117401, 21105, 103, 16995, 9080, 15682, 26854, 107188, 32149, 121120, 47000, 47884, 105908, 118765, 63415, 13177, 107662, 95221, 10646, 45631, 24186, 95221, 10646, 45631, 115934, 96356, 16144, 112415, 16144, 39084, 117282, 48634, 10646, 63415, 24186, 116499, 30591, 104984, 99849, 72661, 108608, 6447, 63415, 110589, 15682, 24186, 116499, 100604, 115226, 125743, 117119, 32149, 115389, 26854, 100909, 72661, 105693, 16144, 11571, 63415, 13177, 107748, 124643, 104603, 11972, 10646, 45631, 76739, 124643, 104603, 11972, 10646, 45631, 123293, 91875, 16144, 39084, 103306, 33014, 32943, 20230, 118551, 103792, 48634, 10646, 63415, 31958, 117073, 27384, 117876, 20230, 104874, 107290, 76739, 124643, 104603, 11972, 30512, 104840, 25359, 39926, 33334, 108895, 63415, 108618, 101275, 126198, 74482, 15682, 118705, 114053, 126694, 30369, 76739, 124643, 104603, 11972, 29295, 108618, 107462, 100604, 45631, 83947, 95221, 59712, 6079, 118, 109466, 30813, 10646, 45631, 123293, 95221, 30591, 105104, 104028, 107328, 27479, 66383, 95604, 118331, 39880, 107446, 105110, 36896, 83947, 95221, 59712, 6079, 118, 109466, 30813, 59712, 102395, 76706, 59712, 21990, 21990, 28713, 30369, 10646, 104309, 29295, 104770, 102158, 115717, 33541, 1811, 45631, 116294, 67075, 117503, 115552, 107118, 11571, 45631, 116294, 67075, 117503, 115552, 15682, 101513, 53283, 9458, 113954, 48634, 16144, 100909, 45631, 116294, 67075, 117503, 115552, 15682, 101513, 53283, 71289, 113954, 48634, 16144, 106592, 115552, 78434, 1811, 10016, 62314, 44620, 41758, 44971, 78983, 9458, 104603, 68581, 103223, 127020, 36761, 220, 16, 6806, 27685, 9080, 83947, 108931, 97518, 89046, 17161, 102181, 103359, 117735, 47260, 113390, 22398, 220, 1627, 6806, 45631, 78244, 124121, 66383, 95604, 104466, 5486, 104712, 112690, 102052, 126521, 106592, 105324, 102802, 108385, 122101, 48634, 107407, 16144, 38641, 1811, 45631, 36117, 95, 104028, 117503, 115552, 107118, 30, 105355, 51385, 113146, 15682, 13177, 111828, 71869, 106090, 104297, 16144, 58666, 37689, 109375, 118587, 21405, 109768, 79721, 29295, 5486, 38574, 104680, 19732, 13177, 17792, 118146, 33565, 117, 47884, 110999, 70141, 66383, 95604, 115552, 16556, 33655, 126832, 101200, 115717, 79721, 1811, 45631, 104346, 89753, 26854, 17792, 66383, 32977, 114652, 78244, 61689, 29295, 115847, 15682, 13177, 101083, 121538, 30512, 106627, 106824, 5486, 115424, 104261, 103351, 31431, 5486, 110999, 103868, 20230, 119680, 104004, 100909, 118587, 21405, 78434, 1811, 5971, 128001, 128000, 567, 87109, 91875, 106518, 126330, 113115, 54926, 108936, 109904, 25197, 126989, 198, 30591, 112568, 15682, 13177, 16937, 91875, 106518, 126330, 66383, 95604, 19732, 67645, 120950, 101067, 66201, 30512, 78434, 32149, 11571, 95532, 9458, 33334, 35330, 110794, 29295, 109134, 100909, 198, 9458, 43240, 109518, 16144, 42634, 107060, 7, 108703, 35330, 8, 123410, 119400, 29295, 119467, 16995, 90578, 9458, 17905, 46034, 16995, 100909, 117952, 106824, 107691, 78183, 107001, 16144, 111769, 32149, 90578, 30591, 109709, 104712, 104371, 47523, 120937, 16144, 111769, 123253, 32149, 1811, 124773, 123437, 67075, 17905, 72661, 109161, 107624, 29295, 43240, 9039, 9174, 74482, 43032, 54926, 105933, 16937, 91875, 106518, 126330, 123863, 53283, 109375, 30512, 110298, 98915, 20230, 87177, 17663, 19732, 110745, 103268, 15682, 13177, 100604, 100604, 1981, 16937, 91875, 106518, 15682, 119467, 16995, 66383, 95604, 95543, 106608, 16556, 56051, 9174, 34226, 102052, 5486, 16937, 91875, 106518, 126330, 16144, 112167, 101275, 111817, 29295, 107297, 102800, 102677, 104371, 47523, 32977, 43240, 9039, 9174, 103350, 104983, 20230, 5486, 102667, 113146, 16144, 61826, 101477, 102, 126636, 46034, 16937, 91875, 106518, 108695, 16144, 112167, 101275, 111817, 20230, 98915, 107707, 126362, 30512, 117943, 123606, 117119, 17792, 116421, 98915, 17792, 20230, 13177, 109834, 103868, 30591, 104984, 126362, 54926, 57980, 66383, 108044, 107800, 110229, 27384, 103268, 29295, 120853, 115924, 125845, 110596, 101557, 106, 5486, 102717, 25827, 112028, 34048, 29295, 38093, 76947, 64121, 30369, 102677, 95543, 106608, 16556, 56051, 9174, 86127, 32977, 60868, 32131, 37823, 108941, 16073, 113146, 20230, 17039, 106554, 16556, 102472, 107507, 16144, 126521, 22398, 109089, 112197, 110438, 98369, 20230, 87177, 67016, 76622, 102204, 5486, 60868, 124366, 61398, 64780, 16144, 87177, 30512, 104655, 50834, 79721, 29295, 5486, 114715, 119467, 102518, 112854, 58942, 115991, 33541, 9174, 64780, 60868, 124366, 61398, 5232, 27384, 17129, 111201, 78244, 116285, 5486, 16937, 91875, 106518, 126330, 16556, 46729, 83812, 225, 110226, 17701, 16144, 112997, 29220, 30512, 103167, 114485, 54926, 106548, 103214, 64121, 198, 71289, 15682, 31431, 111476, 13177, 112167, 101275, 111817, 15682, 105525, 30369, 112973, 117876, 1811, 89151, 103350, 71289, 22656, 79785, 30512, 125062, 15024, 5486, 72368, 40862, 16144, 126521, 105494, 67016, 117952, 100604, 111769, 32149, 111329, 51330, 104466, 91763, 76947, 103801, 16995, 125456, 30512, 54322, 77062, 226, 39926, 114732, 117735, 38641, 9174, 16937, 91875, 106518, 126330, 113115, 54926, 25197, 126989, 30512, 114140, 56051, 110229, 16556, 16995, 57980, 16995, 57980, 22656, 104482, 109156, 31431, 33541, 9174, 567, 87109, 91875, 106518, 126330, 16144, 22656, 105284, 15682, 5486, 863, 91482, 76428, 102750, 22398, 116787, 5486, 106613, 112167, 30046, 108176, 100909, 89874, 16937, 91875, 106518, 126330, 102677, 112690, 55031, 13177, 126330, 66383, 104736, 109375, 103792, 24273, 29295, 27384, 103268, 36785, 106046, 61689, 9174, 80673, 115408, 29295, 78698, 105262, 16937, 91875, 106518, 126330, 16144, 22656, 105284, 15682, 36896, 106613, 112167, 10646, 38641, 9174, 59739, 109709, 5486, 53953, 14558, 16144, 56438, 30046, 29295, 43511, 17792, 20230, 111999, 122258, 42506, 30512, 77195, 20230, 53953, 14558, 30512, 110726, 17663, 91482, 76428, 102750, 22398, 102677, 50338, 13393, 230, 9174, 27452, 116285, 111476, 1049, 15, 110743, 16144, 42634, 107060, 30512, 103214, 64121, 5486, 966, 8107, 16556, 104196, 111587, 54926, 82420, 55723, 16556, 16, 49, 30512, 107691, 100472, 19732, 78434, 9174, 121410, 9953, 21, 110743, 30512, 42634, 107060, 104196, 111587, 5486, 101987, 126559, 17792, 55031, 22, 110743, 16144, 111999, 122258, 42506, 30512, 121410, 9953, 80631, 108, 30297, 100909, 104856, 104984, 13177, 121410, 9953, 10, 16, 110743, 66383, 26854, 31431, 33541, 1811, 116900, 32977, 61994, 31431, 16556, 46729, 83812, 225, 20, 110743, 104856, 104533, 13177, 121410, 9953, 12, 16, 110743, 66383, 26854, 31431, 863, 109657, 19113, 863, 121711, 33541, 123794, 9174, 126330, 102677, 105755, 863, 91482, 76428, 102750, 22398, 863, 120332, 29295, 60358, 16995, 112690, 36785, 106046, 61689, 9174, 126330, 102677, 101083, 56965, 16144, 104371, 47523, 15682, 111476, 13177, 1049, 15, 110743, 16556, 107691, 100472, 53953, 14558, 29295, 605, 8107, 123090, 3101, 15, 110743, 108176, 10646, 104309, 95001, 112603, 29295, 104721, 91875, 54926, 120266, 72718, 63212, 54926, 16144, 111769, 123253, 32149, 118844, 109853, 33671, 20230, 121247, 61689, 9174, 567, 119041, 109375, 15682, 5486, 53283, 109375, 103195, 198, 16937, 91875, 106518, 126330, 123863, 127880, 113954, 30512, 48154, 126362, 121256, 118844, 15682, 5486, 17792, 55031, 104655, 102334, 102944, 38641, 9174, 118789, 9554, 102052, 5486, 112167, 101275, 114475, 107674, 31431, 101275, 98220, 20230, 50520, 111, 102800, 98915, 17792, 20230, 87177, 30512, 104655, 102334, 31431, 121256, 118855, 5486, 119526, 104309, 16556, 118124, 30512, 19732, 30369, 19967, 101275, 32977, 56051, 31431, 9174, 109860, 127105, 37271, 74482, 5486, 16937, 91875, 106518, 112167, 101275, 114475, 107441, 32977, 103424, 15024, 109161, 15024, 30512, 122225, 106084, 30369, 37026, 22023, 115991, 33541, 9174, 43240, 119064, 116537, 36896, 119467, 16995, 55031, 87177, 30512, 104655, 126660, 66383, 95604, 121507, 30512, 39926, 114732, 118733, 109954, 9174, 102131, 54926, 102083, 59739, 17129, 72661, 99849, 16144, 104721, 33208, 32977, 124897, 1811, 87177, 30512, 104655, 102532, 110498, 31431, 95221, 101983, 33503, 123207, 13177, 71289, 31431, 107515, 59712, 122975, 106084, 107515, 66383, 64889, 76947, 53283, 109375, 116771, 110794, 112454, 104984, 126521, 103378, 105321, 38641, 9174, 119467, 29295, 76947, 120853, 115924, 72342, 101860, 5486, 863, 53283, 109375, 15682, 5486, 53283, 109375, 19732, 111017, 31431, 102769, 76947, 122635, 863, 39926, 33334, 126145, 58426, 123470, 109933, 107446, 30512, 110074, 30813, 123733, 104533, 32977, 91763, 76947, 61689, 9174, 567, 220, 123011, 62004, 198, 22656, 83932, 77181, 5486, 108936, 109904, 16937, 91875, 106518, 126330, 103359, 54926, 25197, 126989, 115408, 29295, 91774, 50338, 5486, 53283, 109375, 122635, 112197, 53508, 100, 62004, 31809, 87177, 30512, 121256, 9174, 125821, 102987, 16995, 16937, 91875, 106518, 126330, 101275, 98220, 16144, 118124, 110366, 109853, 15682, 74482, 9080, 48154, 126362, 78434 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 116537, 43240, 117714, 111769, 123253, 32149, 1811, 45631, 36117, 95, 104028, 117503, 103359, 104577, 102158, 6806, 63091, 17620, 20230, 37026, 22023, 107407, 45631, 119732, 47307, 37823, 103906, 10646, 101182, 116537, 5486, 21388, 113529, 120837, 25580, 70141, 50834, 125030, 33503, 58942, 110924, 55031, 122270, 13153, 101544, 54926, 105908, 108608, 105879, 36896, 19653, 33014, 111186, 10646, 29295, 102750, 102472, 103906, 52884, 16556, 119732, 47307, 37823, 103906, 16144, 100604, 107707, 98406, 15682, 57903, 33541, 1811, 126003, 102439, 25197, 47307, 37823, 103906, 6806, 63415, 53610, 119533, 55723, 15682, 105647, 46034, 107118, 78244, 119841, 29295, 5486, 78183, 102802, 30813, 102802, 16144, 104346, 86354, 30512, 110240, 16995, 100481, 38144, 33565, 117, 50834, 126268, 110071, 1811, 45631, 30813, 102802, 10646, 15682, 91875, 113124, 13177, 30813, 104369, 118587, 13372, 113124, 33208, 56051, 102944, 38641, 1811, 42579, 253, 104983, 20230, 106786, 100762, 233, 30512, 47000, 105784, 104468, 15120, 91774, 112825, 110904, 102131, 77181, 57903, 33541, 29295, 5486, 106722, 32149, 103950, 21909, 16144, 37823, 108526, 103202, 72516, 118816, 117876, 29295, 122202, 26854, 105879, 5486, 53508, 122, 55487, 29295, 100783, 102, 71289, 32149, 120195, 115926, 105047, 120195, 115926, 114950, 17905, 61304, 16144, 103826, 26854, 109606, 29295, 102404, 21990, 54926, 105879, 61633, 38641, 1811, 5971, 198, 95221, 109669, 124233, 21105, 243, 6806, 63415, 106656, 16144, 106942, 102052, 85701, 102083, 100472, 110999, 119703, 101832, 1811, 220, 58426, 112661, 56965, 15682, 120175, 104526, 102189, 31431, 101128, 102, 102189, 28713, 120837, 5486, 30813, 104043, 125174, 109913, 107290, 105994, 37026, 22023, 29295, 13153, 101544, 54926, 103188, 39607, 103306, 21388, 113529, 30512, 21990, 32149, 39926, 123120, 109768, 47884, 105908, 125545, 1811, 75660, 220, 18, 6806, 45631, 95221, 25446, 117503, 104770, 102158, 15682, 13177, 125042, 45736, 59712, 113797, 16906, 111, 10646, 104309, 115991, 106116, 16325, 102052, 13177, 17905, 25446, 10646, 32977, 96412, 17129, 106824, 61689, 1811, 118830, 47884, 20230, 16995, 104984, 119732, 47307, 37823, 103906, 107407, 107707, 123120, 30512, 53283, 30369, 115789, 125545, 1811, 45631, 78183, 102802, 30813, 102802, 117503, 27452, 103306, 15682, 108948, 108553, 71289, 102433, 107983, 104674, 5486, 53610, 119533, 55723, 104309, 29295, 123680, 102639, 102204, 33541, 1811, 63415, 106649, 104261, 71289, 108104, 45893, 104309, 19732, 5486, 104346, 89753, 46091, 11881, 100, 26854, 9080, 104680, 30512, 103188, 48154, 103792, 1811, 220, 123011, 62004, 45631, 116294, 67075, 10646, 15682, 114654, 16144, 13177, 89619, 10646, 29295, 102158, 39084, 16556, 36896, 101513, 53283, 59712, 120073, 59712, 113954, 48634, 59712, 101513, 108436, 16144, 60632, 47884, 59712, 19732, 25827, 43514, 10646, 5486, 53900, 13177, 101513, 53283, 20230, 105469, 102189, 17792, 66383, 95604, 115552, 16556, 33655, 123671, 5486, 116254, 90397, 233, 20230, 103892, 29295, 103424, 47884, 38144, 53953, 53283, 31431, 103195, 102677, 103378, 126194, 36896, 15017, 119, 111331, 60632, 102334, 111090, 68408, 39880, 114792, 59739, 17792, 59712, 127749, 20230, 114146, 83, 122678, 101513, 106608, 104721, 20230, 103899, 58942, 125334, 122101, 17792, 66383, 95604, 115552, 16556, 33655, 123671, 33541, 1811, 5971, 198, 10110, 19, 7705, 123120, 48634, 107407, 115355, 38574, 15682, 24186, 95221, 16556, 31958, 30369, 47884, 111243, 116898, 75694, 102677, 110018, 5486, 123120, 20230, 103350, 23039, 118765, 17792, 32977, 61689, 123794, 1811, 126003, 102439, 25197, 47307, 37823, 103906, 6806, 65218, 46034, 47884, 16995, 107462, 100604, 110018, 71289, 5486, 17905, 65743, 20230, 91062, 71493, 59739, 102334, 5486, 34048, 17297, 20230, 25197, 32131, 104043, 56051, 39177, 104309, 59739, 108064, 16995, 13177, 109161, 40526, 10646, 71289, 13177, 31374, 248, 101576, 112, 66383, 16995, 100472, 68759, 25197, 96452, 22398, 26854, 106592, 40526, 116446, 103801, 16995, 29295, 43514, 119627, 5486, 104699, 104043, 22957, 33503, 58942, 17129, 109954, 1811, 45631, 119732, 47307, 37823, 103906, 117503, 115552, 15682, 5486, 108936, 112535, 45631, 118958, 48634, 9458, 76706, 48634, 9458, 104654, 48634, 9458, 76739, 124643, 104603, 116219, 103195, 100909, 9458, 80805, 102756, 52591, 33710, 103195, 100909, 9458, 123726, 30369, 48634, 29295, 6079, 118, 109466, 103195, 100909, 9458, 47307, 52591, 103195, 100909, 126795, 28713, 33121, 104195, 16995, 100909, 63415, 102097, 48634, 9458, 110095, 48634, 16144, 104195, 30813, 10646, 104309, 115717, 33541, 1811, 13728, 7910, 311, 305, 404, 351, 3444, 323, 305, 404, 351, 3444, 311, 10083, 42888, 13, 63415, 22957, 51330, 121640, 30512, 17129, 42891, 114225, 103130, 104004, 19732, 5486, 104346, 89753, 30813, 30512, 112391, 30369, 86354, 39135, 29295, 108285, 29295, 30369, 1811, 108477, 108, 111201, 110901, 112568, 15682, 116294, 67075, 20230, 105469, 126559, 66383, 117952, 103468, 33503, 108048, 15682, 13177, 26854, 107188, 32149, 28190, 101828, 16995, 103899, 58942, 36785, 101832, 59712, 103892, 29295, 13828, 112, 107290, 30369, 101832, 66383, 106782, 240, 62004, 112690, 72661, 101182, 16144, 38641, 1811, 106369, 32977, 104004, 50834, 10646, 36896, 89753, 10646, 15682, 13177, 15120, 105647, 30512, 26854, 17663, 102944, 1811, 123485, 105352, 106786, 100762, 233, 16144, 120219, 117824, 100472, 125344, 125980, 16937, 103424, 71289, 30177, 106307, 16937, 103424, 102083, 100472, 5486, 49792, 30926, 16144, 126101, 109606, 29295, 102404, 21990, 107113, 30926, 32977, 113727, 102204, 33541, 1811, 5971, 198, 9458, 13177, 122163, 48634, 10646, 45631, 33014, 48634, 10646, 45631, 59363, 51609, 112415, 20230, 109215, 26854, 117401, 106556, 10646, 63415, 103892, 15682, 103424, 47884, 124897, 29295, 33014, 48634, 102052, 107188, 111331, 82973, 115991, 33541, 6447, 63415, 33014, 48634, 115991, 30591, 17129, 76947, 114732, 101200, 16556, 5486, 117401, 21105, 103, 16995, 9080, 15682, 26854, 107188, 32149, 121120, 47000, 47884, 105908, 118765, 63415, 13177, 107662, 95221, 10646, 45631, 24186, 95221, 10646, 45631, 115934, 96356, 16144, 112415, 16144, 39084, 117282, 48634, 10646, 63415, 24186, 116499, 30591, 104984, 99849, 72661, 108608, 6447, 63415, 110589, 15682, 24186, 116499, 100604, 115226, 125743, 117119, 32149, 115389, 26854, 100909, 72661, 105693, 16144, 11571, 63415, 13177, 107748, 124643, 104603, 11972, 10646, 45631, 76739, 124643, 104603, 11972, 10646, 45631, 123293, 91875, 16144, 39084, 103306, 33014, 32943, 20230, 118551, 103792, 48634, 10646, 63415, 31958, 117073, 27384, 117876, 20230, 104874, 107290, 76739, 124643, 104603, 11972, 30512, 104840, 25359, 39926, 33334, 108895, 63415, 108618, 101275, 126198, 74482, 15682, 118705, 114053, 126694, 30369, 76739, 124643, 104603, 11972, 29295, 108618, 107462, 100604, 45631, 83947, 95221, 59712, 6079, 118, 109466, 30813, 10646, 45631, 123293, 95221, 30591, 105104, 104028, 107328, 27479, 66383, 95604, 118331, 39880, 107446, 105110, 36896, 83947, 95221, 59712, 6079, 118, 109466, 30813, 59712, 102395, 76706, 59712, 21990, 21990, 28713, 30369, 10646, 104309, 29295, 104770, 102158, 115717, 33541, 1811, 45631, 116294, 67075, 117503, 115552, 107118, 11571, 45631, 116294, 67075, 117503, 115552, 15682, 101513, 53283, 9458, 113954, 48634, 16144, 100909, 45631, 116294, 67075, 117503, 115552, 15682, 101513, 53283, 71289, 113954, 48634, 16144, 106592, 115552, 78434, 1811, 10016, 62314, 44620, 41758, 44971, 78983, 9458, 104603, 68581, 103223, 127020, 36761, 220, 16, 6806, 27685, 9080, 83947, 108931, 97518, 89046, 17161, 102181, 103359, 117735, 47260, 113390, 22398, 220, 1627, 6806, 45631, 78244, 124121, 66383, 95604, 104466, 5486, 104712, 112690, 102052, 126521, 106592, 105324, 102802, 108385, 122101, 48634, 107407, 16144, 38641, 1811, 45631, 36117, 95, 104028, 117503, 115552, 107118, 30, 105355, 51385, 113146, 15682, 13177, 111828, 71869, 106090, 104297, 16144, 58666, 37689, 109375, 118587, 21405, 109768, 79721, 29295, 5486, 38574, 104680, 19732, 13177, 17792, 118146, 33565, 117, 47884, 110999, 70141, 66383, 95604, 115552, 16556, 33655, 126832, 101200, 115717, 79721, 1811, 45631, 104346, 89753, 26854, 17792, 66383, 32977, 114652, 78244, 61689, 29295, 115847, 15682, 13177, 101083, 121538, 30512, 106627, 106824, 5486, 115424, 104261, 103351, 31431, 5486, 110999, 103868, 20230, 119680, 104004, 100909, 118587, 21405, 78434, 1811, 5971, 128001, 128000, 567, 87109, 91875, 106518, 126330, 113115, 54926, 108936, 109904, 25197, 126989, 198, 30591, 112568, 15682, 13177, 16937, 91875, 106518, 126330, 66383, 95604, 19732, 67645, 120950, 101067, 66201, 30512, 78434, 32149, 11571, 95532, 9458, 33334, 35330, 110794, 29295, 109134, 100909, 198, 9458, 43240, 109518, 16144, 42634, 107060, 7, 108703, 35330, 8, 123410, 119400, 29295, 119467, 16995, 90578, 9458, 17905, 46034, 16995, 100909, 117952, 106824, 107691, 78183, 107001, 16144, 111769, 32149, 90578, 30591, 109709, 104712, 104371, 47523, 120937, 16144, 111769, 123253, 32149, 1811, 124773, 123437, 67075, 17905, 72661, 109161, 107624, 29295, 43240, 9039, 9174, 74482, 43032, 54926, 105933, 16937, 91875, 106518, 126330, 123863, 53283, 109375, 30512, 110298, 98915, 20230, 87177, 17663, 19732, 110745, 103268, 15682, 13177, 100604, 100604, 1981, 16937, 91875, 106518, 15682, 119467, 16995, 66383, 95604, 95543, 106608, 16556, 56051, 9174, 34226, 102052, 5486, 16937, 91875, 106518, 126330, 16144, 112167, 101275, 111817, 29295, 107297, 102800, 102677, 104371, 47523, 32977, 43240, 9039, 9174, 103350, 104983, 20230, 5486, 102667, 113146, 16144, 61826, 101477, 102, 126636, 46034, 16937, 91875, 106518, 108695, 16144, 112167, 101275, 111817, 20230, 98915, 107707, 126362, 30512, 117943, 123606, 117119, 17792, 116421, 98915, 17792, 20230, 13177, 109834, 103868, 30591, 104984, 126362, 54926, 57980, 66383, 108044, 107800, 110229, 27384, 103268, 29295, 120853, 115924, 125845, 110596, 101557, 106, 5486, 102717, 25827, 112028, 34048, 29295, 38093, 76947, 64121, 30369, 102677, 95543, 106608, 16556, 56051, 9174, 86127, 32977, 60868, 32131, 37823, 108941, 16073, 113146, 20230, 17039, 106554, 16556, 102472, 107507, 16144, 126521, 22398, 109089, 112197, 110438, 98369, 20230, 87177, 67016, 76622, 102204, 5486, 60868, 124366, 61398, 64780, 16144, 87177, 30512, 104655, 50834, 79721, 29295, 5486, 114715, 119467, 102518, 112854, 58942, 115991, 33541, 9174, 64780, 60868, 124366, 61398, 5232, 27384, 17129, 111201, 78244, 116285, 5486, 16937, 91875, 106518, 126330, 16556, 46729, 83812, 225, 110226, 17701, 16144, 112997, 29220, 30512, 103167, 114485, 54926, 106548, 103214, 64121, 198, 71289, 15682, 31431, 111476, 13177, 112167, 101275, 111817, 15682, 105525, 30369, 112973, 117876, 1811, 89151, 103350, 71289, 22656, 79785, 30512, 125062, 15024, 5486, 72368, 40862, 16144, 126521, 105494, 67016, 117952, 100604, 111769, 32149, 111329, 51330, 104466, 91763, 76947, 103801, 16995, 125456, 30512, 54322, 77062, 226, 39926, 114732, 117735, 38641, 9174, 16937, 91875, 106518, 126330, 113115, 54926, 25197, 126989, 30512, 114140, 56051, 110229, 16556, 16995, 57980, 16995, 57980, 22656, 104482, 109156, 31431, 33541, 9174, 567, 87109, 91875, 106518, 126330, 16144, 22656, 105284, 15682, 5486, 863, 91482, 76428, 102750, 22398, 116787, 5486, 106613, 112167, 30046, 108176, 100909, 89874, 16937, 91875, 106518, 126330, 102677, 112690, 55031, 13177, 126330, 66383, 104736, 109375, 103792, 24273, 29295, 27384, 103268, 36785, 106046, 61689, 9174, 80673, 115408, 29295, 78698, 105262, 16937, 91875, 106518, 126330, 16144, 22656, 105284, 15682, 36896, 106613, 112167, 10646, 38641, 9174, 59739, 109709, 5486, 53953, 14558, 16144, 56438, 30046, 29295, 43511, 17792, 20230, 111999, 122258, 42506, 30512, 77195, 20230, 53953, 14558, 30512, 110726, 17663, 91482, 76428, 102750, 22398, 102677, 50338, 13393, 230, 9174, 27452, 116285, 111476, 1049, 15, 110743, 16144, 42634, 107060, 30512, 103214, 64121, 5486, 966, 8107, 16556, 104196, 111587, 54926, 82420, 55723, 16556, 16, 49, 30512, 107691, 100472, 19732, 78434, 9174, 121410, 9953, 21, 110743, 30512, 42634, 107060, 104196, 111587, 5486, 101987, 126559, 17792, 55031, 22, 110743, 16144, 111999, 122258, 42506, 30512, 121410, 9953, 80631, 108, 30297, 100909, 104856, 104984, 13177, 121410, 9953, 10, 16, 110743, 66383, 26854, 31431, 33541, 1811, 116900, 32977, 61994, 31431, 16556, 46729, 83812, 225, 20, 110743, 104856, 104533, 13177, 121410, 9953, 12, 16, 110743, 66383, 26854, 31431, 863, 109657, 19113, 863, 121711, 33541, 123794, 9174, 126330, 102677, 105755, 863, 91482, 76428, 102750, 22398, 863, 120332, 29295, 60358, 16995, 112690, 36785, 106046, 61689, 9174, 126330, 102677, 101083, 56965, 16144, 104371, 47523, 15682, 111476, 13177, 1049, 15, 110743, 16556, 107691, 100472, 53953, 14558, 29295, 605, 8107, 123090, 3101, 15, 110743, 108176, 10646, 104309, 95001, 112603, 29295, 104721, 91875, 54926, 120266, 72718, 63212, 54926, 16144, 111769, 123253, 32149, 118844, 109853, 33671, 20230, 121247, 61689, 9174, 567, 119041, 109375, 15682, 5486, 53283, 109375, 103195, 198, 16937, 91875, 106518, 126330, 123863, 127880, 113954, 30512, 48154, 126362, 121256, 118844, 15682, 5486, 17792, 55031, 104655, 102334, 102944, 38641, 9174, 118789, 9554, 102052, 5486, 112167, 101275, 114475, 107674, 31431, 101275, 98220, 20230, 50520, 111, 102800, 98915, 17792, 20230, 87177, 30512, 104655, 102334, 31431, 121256, 118855, 5486, 119526, 104309, 16556, 118124, 30512, 19732, 30369, 19967, 101275, 32977, 56051, 31431, 9174, 109860, 127105, 37271, 74482, 5486, 16937, 91875, 106518, 112167, 101275, 114475, 107441, 32977, 103424, 15024, 109161, 15024, 30512, 122225, 106084, 30369, 37026, 22023, 115991, 33541, 9174, 43240, 119064, 116537, 36896, 119467, 16995, 55031, 87177, 30512, 104655, 126660, 66383, 95604, 121507, 30512, 39926, 114732, 118733, 109954, 9174, 102131, 54926, 102083, 59739, 17129, 72661, 99849, 16144, 104721, 33208, 32977, 124897, 1811, 87177, 30512, 104655, 102532, 110498, 31431, 95221, 101983, 33503, 123207, 13177, 71289, 31431, 107515, 59712, 122975, 106084, 107515, 66383, 64889, 76947, 53283, 109375, 116771, 110794, 112454, 104984, 126521, 103378, 105321, 38641, 9174, 119467, 29295, 76947, 120853, 115924, 72342, 101860, 5486, 863, 53283, 109375, 15682, 5486, 53283, 109375, 19732, 111017, 31431, 102769, 76947, 122635, 863, 39926, 33334, 126145, 58426, 123470, 109933, 107446, 30512, 110074, 30813, 123733, 104533, 32977, 91763, 76947, 61689, 9174, 567, 220, 123011, 62004, 198, 22656, 83932, 77181, 5486, 108936, 109904, 16937, 91875, 106518, 126330, 103359, 54926, 25197, 126989, 115408, 29295, 91774, 50338, 5486, 53283, 109375, 122635, 112197, 53508, 100, 62004, 31809, 87177, 30512, 121256, 9174, 125821, 102987, 16995, 16937, 91875, 106518, 126330, 101275, 98220, 16144, 118124, 110366, 109853, 15682, 74482, 9080, 48154, 126362, 78434 ]
[ 1811, 128001, 128000, 113992, 46034, 11144, 73686, 46034, 11199, 109853, 78698, 107290, 64121, 30369, 198, 35894, 46034, 16144, 73686, 46034, 109853, 5486, 78698, 107290, 64121, 101200, 106046, 61689, 9174, 118899, 5486, 123746, 102057, 226, 16144, 58911, 60174, 105408, 16144, 45078, 123160, 91875, 55723, 16556, 26955, 251, 91774, 121256, 123682, 111476, 73686, 112909, 115519, 20230, 73686, 47884, 114667, 29295, 5486, 78183, 107277, 126172, 47884, 122984, 116216, 108086, 79721, 105879, 5486, 48154, 126362, 119707, 101832, 38144, 5486, 105994, 26854, 31431, 105352, 114715, 78698, 107290, 64121, 101200, 106046, 61689, 9174, 58911, 60174, 105408, 16144, 48154, 122984, 38641, 19732, 111476, 73686, 112909, 115519, 125030, 30369, 104468, 120953, 106644, 30297, 100909, 32149, 102083, 61689, 19732, 9174, 126843, 5486, 73686, 112909, 111140, 16144, 45736, 30813, 125030, 30369, 89753, 105647, 32977, 57903, 33541, 5486, 73686, 112909, 111140, 16144, 45736, 30813, 125030, 104533, 5486, 33014, 100818, 116, 16144, 18904, 108436, 15682, 5486, 114948, 104486, 110135, 16144, 18904, 108436, 29295, 36668, 33014, 115717, 33541, 5486, 59739, 109709, 5486, 33014, 100818, 116, 16144, 113351, 55031, 17905, 120938, 103268, 96356, 16144, 122270, 17905, 103268, 17620, 124905, 30297, 105933, 83799, 16144, 26854, 31431, 33541, 9174, 77693, 20230, 106956, 39926, 5486, 73686, 112909, 115519, 125030, 104533, 5486, 114948, 104486, 110135, 126194, 11144, 110135, 114457, 11199, 48154, 19732, 18904, 108436, 124545, 100909, 115717, 33541, 108048, 15682, 59739, 109709, 5486, 11144, 115519, 55031, 17905, 122617, 16144, 30358, 64209, 124905, 76947, 16144, 121551, 11199, 19732, 106644, 30297, 100909, 115717, 33541, 9174, 121551, 16144, 30358, 30813, 19732, 106644, 30297, 114181, 28542, 16556, 16995, 116285, 5486, 114948, 104486, 110135, 103378, 16144, 18904, 108436, 126036, 5486, 115519, 55031, 17905, 120938, 103268, 96356, 122617, 16144, 18904, 108436, 123457, 33655, 100472, 118881, 29295, 5486, 105755, 59739, 114652, 5486, 105755, 30358, 16995, 121551, 29295, 108608, 100909, 115717, 33541, 9174, 73686, 112909, 111140, 125030, 100472, 121551, 15682, 5486, 11144, 198, 111140, 55031, 17905, 16144, 30358, 64209, 124905, 100472, 121551, 11199, 121711, 9174, 73686, 112909, 115519, 125030, 100472, 121551, 15682, 5486, 11144, 198, 115519, 55031, 17905, 16144, 30358, 64209, 124905, 100472, 121551, 11199, 121711, 33541, 9174, 115143, 107294, 76622, 47884, 78183, 58942, 33541, 19732, 5486, 73686, 112909, 115519, 125030, 30369, 100909, 113468, 5486, 110135, 114457, 29295, 18904, 108436, 54926, 113334, 38641, 105879, 111476, 115519, 124905, 100472, 121551, 29295, 115681, 112535, 23039, 30297, 105908, 125545, 9174, 32977, 43514, 85791, 25827, 5486, 17297, 103268, 96356, 29295, 51385, 23187, 109768, 100604, 19732, 5486, 115519, 16144, 18904, 108436, 48634, 29295, 113487, 107441, 103801, 61689, 105879, 5486, 21105, 96, 107277, 114267, 104195, 16995, 17297, 103268, 96356, 29295, 109215, 38641, 9174, 17297, 103268, 96356, 29295, 112294, 16995, 5486, 51385, 23187, 109768, 100604, 19732, 106644, 30297, 109335, 5486, 121551, 16144, 104983, 20230, 5486, 52591, 102756, 52591, 102756, 16144, 124011, 123581, 120938, 20230, 110498, 42891, 126469, 112160, 21990, 103435, 116, 51609, 20230, 80805, 109482, 30512, 120837, 5486, 106956, 56051, 99959, 126989, 30512, 58318, 105262, 109335, 118765, 114318, 106644, 30297, 100909, 19732, 112361, 100909, 38641, 9174, 103223, 33710, 103223, 114615, 22398, 102663, 84477, 116974, 71289, 5486, 30320, 115, 120938, 16556, 80805, 109482, 30512, 36785, 120837, 5486, 99959, 126989, 30512, 30591, 28713, 105262, 67645, 107404, 32149, 105994, 29295, 104328, 121710, 31431, 32149, 58942, 76947, 114732, 16144, 19732, 5486, 112361, 38641, 9174, 11144, 73686, 46034, 11199, 16144, 33655, 16995, 24273, 109853, 126313, 46034, 16144, 33655, 16995, 24273, 109853, 5486, 78698, 107290, 64121, 33541, 9174, 73686, 112909, 33655, 100472, 35894, 46034, 16144, 121551, 15682, 5486, 114652, 103672, 29220, 57207, 94550, 104309, 77181, 11144, 57933, 44971, 108526, 115695, 109482, 11199, 102083, 123671, 33541, 66327, 198, 114284, 121381, 31431, 73686, 112909, 19732, 76947, 5486, 115519, 30512, 104328, 101832, 76947, 55031, 104584, 47884, 80805, 109482, 104309, 5486, 40265, 28713, 30369, 113334, 100604, 108995, 91006, 19732, 106644, 30297, 102944, 38641, 9174, 28713, 67016, 20230, 58426, 121640, 38641, 124192, 28713, 30369, 113334, 115991, 107515, 5486, 110219, 20230, 5877, 102, 50834, 20230, 16995, 76622, 81219, 5486, 40265, 28713, 30369, 109335, 26854, 107188, 126660, 106046, 61689, 9174, 119627, 110371, 11144, 115519, 20230, 73686, 102334, 112909, 5486, 114284, 121381, 31431, 115519, 30512, 18904, 108436, 107726, 5486, 114284, 121381, 31431, 73686, 112909, 19732, 31431, 5486, 114284, 121381, 31431, 37087, 96356, 37087, 48634, 16556, 104584, 47884, 80805, 109482, 7, 37656, 123506, 104584, 50834, 8, 11199, 30512, 5486, 102717, 109416, 78250, 27113, 113127, 40265, 125655, 41007, 115991, 33541, 9174, 122582, 36896, 198, 35894, 124475, 61826, 46034, 110214, 117503, 61826, 107707, 33334, 112690, 20230, 5486, 122617, 96412, 17129, 115032, 32149, 106046, 61689, 9174, 59739, 109709, 111476, 35894, 46034, 16144, 25287, 15682, 59614, 101860, 101682, 76622, 55031, 27704, 109709, 33541, 5486, 101682, 107674, 125344, 110783, 110095, 15682, 104405, 26854, 103836, 123253, 32149, 9174, 101682, 107674, 125344, 110783, 110095, 15682, 5486, 59614, 101860, 11144, 198, 103268, 96356, 11199, 117084, 61689, 9174, 80539, 5486, 95543, 103359, 16144, 46034, 15682, 115519, 20230, 73686, 102532, 61689, 9174, 51330, 125344, 120007, 16144, 110783, 110095, 15682, 5486, 121551, 30512, 15017, 234, 32149, 33121, 5486, 121551, 56051, 118881, 16144, 46034, 16144, 101171, 229, 29295, 35894, 102532, 61689, 5486, 110382, 20230, 198, 30813, 50834, 108680, 16144, 11144, 198, 114284, 121381, 31431, 115519, 30512, 18904, 108436, 107726, 5486, 114284, 121381, 31431, 73686, 112909, 19732, 100472, 11199, 28713, 108005, 115, 111842, 30358, 64209, 16144, 110498, 100472, 121551, 30512, 5877, 102, 50834, 22957, 104004, 16144, 38641, 9174, 90620, 110371, 121551, 15682, 123334, 15682, 31431, 102321, 31640, 16144, 35083, 119895, 83301, 77181, 5486, 38129, 54926, 104468, 111108, 102800, 123253, 9174, 43568, 22649, 77181, 124897, 29295, 5486, 35083, 119895, 83301, 16144, 106081, 40862, 77181, 5486, 111108, 102800, 106046, 61689, 9174, 85701, 15682, 102321, 31640, 35083, 119895, 83301, 16556, 16995, 116285, 116898, 78183, 106644, 30369, 11144, 198, 71493, 115691, 102514, 121551, 11199, 20230, 30591, 115926, 33541, 9174, 35894, 124475, 61826, 46034, 110214, 5486, 106644, 58942, 16144, 100909, 36785, 106046, 123671, 33541, 29295, 9174, 59739, 109709, 5486, 102321, 31640, 35083, 119895, 83301, 77181, 5486, 50021, 112909, 58, 15120, 107666, 16556, 105987, 17663, 60, 9174, 19732, 106644, 30297, 109335, 25580, 29172, 126194, 5486, 83747, 21105, 248, 59739, 99959, 126989, 30512, 58318, 107290, 5486, 106053, 23187, 108995, 104856, 102189, 103950, 19732, 114318, 112649, 47884, 124042, 112535, 11144, 104284, 60632, 11199, 54926, 5486, 105908, 25580, 29172, 101983, 103836, 113009, 198, 11144, 106901, 52884, 11199, 76622, 25827, 44416, 121551, 198, 19732, 106644, 30297, 102944, 29295, 36668, 89753, 109860, 38641, 9174, 106901, 52884, 15682, 121551, 16144, 30591, 19732, 5486, 114225, 20230, 114941, 39926, 103801, 61689, 9174, 110382, 16556, 106901, 52884, 30512, 15017, 234, 102334, 30591, 19732, 20230, 5486, 114225, 20230, 71493, 115691, 102514, 16144, 115519, 16144, 17701, 100472, 37656, 123506, 104584, 50834, 117824, 114598, 124563, 107188, 32149, 124629, 107515, 9174, 108031, 120007, 15682, 110924, 102052, 16995, 100604, 55031, 38641, 9174, 106901, 52884, 19732, 102717, 109416, 115963, 20230, 103223, 11972, 58, 71634, 44971, 84477, 60, 30512, 76537, 59739, 80805, 102514, 16073, 32977, 57903, 33541, 9174, 58426, 107803, 32977, 5486, 18904, 108436, 16144, 113053, 16144, 116690, 16556, 5486, 76537, 43514, 109972, 107441, 103801, 61689, 9174, 110924, 16556, 120953, 126693, 40265, 38144, 104028, 104865, 95532, 85701, 15682, 102321, 31640, 35083, 119895, 83301, 16556, 16995, 116285, 5486, 120007, 29295, 117896, 30512, 198, 58, 105987, 15024, 20230, 105898, 80805, 109482, 60, 20230, 30591, 110027, 30369, 100909, 38641, 9174, 13177, 110382, 16556, 37087, 48634, 16144, 80805, 109482, 30512, 20834, 72342, 81219, 105987, 122101, 66383, 120007, 29295, 91763, 100472, 110018, 20230, 106116, 37087, 48634, 16144, 80805, 109482, 30512, 30813, 81219, 50834, 5486, 115519, 16144, 17701, 100472, 37656, 123506, 30512, 40265, 125655, 100909, 38641, 9174, 32977, 43514, 85791, 25827, 124563, 107188, 32149, 112825, 110904, 26854, 100909, 77181, 124897, 56024, 61, 68380, 32, 198, 90620, 115847, 15682, 33710, 64178, 17905, 16144, 105509, 34171, 16144, 101182, 5486, 35083, 119895, 114300, 83301, 17905, 16144, 100909, 116787, 5486, 103350, 104983, 16144, 119895, 106106, 16144, 102321, 75267, 77181, 123334, 15682, 31431, 61826, 20230, 13177, 198, 106266, 113799, 16144, 30591, 109709, 112909, 20834, 39926, 109749, 120007, 10646, 29295, 78459, 68759, 78459, 68759, 19732, 106901, 52884, 30512, 76537, 76947, 47884, 104533, 15682, 113727, 102204, 20230, 47884, 16995, 38641, 105879, 5486, 103350, 104983, 16144, 119895, 106106, 16144, 102321, 75267, 16556, 108149, 47884, 103296, 104612, 33710, 113245, 19361, 126120, 34171, 114318, 78698, 105262, 125231, 32149, 106046, 61689, 9174, 32977, 43514, 85791, 25827, 5486, 103672, 29220, 60868, 38248, 226, 35083, 119895, 83301, 106613, 111186, 30046, 16556, 5486, 117896, 16144, 103350, 123457, 64121, 30369, 113009, 5486, 117355, 16995, 106901, 52884, 30512, 20834, 39926, 109749, 125396, 15682, 5486, 102321, 31640, 77181, 83747, 103470, 100604, 106046, 61689, 29295, 9174, 120007, 29295, 126920, 106266, 113799, 107113, 126513, 108948, 27929, 124749, 37087, 48634, 16144, 80805, 109482, 29295, 50834, 33541, 105879, 108048, 30512, 15017, 234, 50834, 5486, 35894, 119188, 101171, 229, 71289, 105791, 28190, 20230, 5486, 37656, 123506, 30512, 40265, 125655, 114318, 106644, 30297, 100909, 115717, 33541, 9174, 21105, 96, 107277, 19732, 115519, 30512, 18904, 108436, 107726, 5486, 73686, 112909, 19732, 100472, 37087, 48634, 16144, 121551, 114318, 106644, 30297, 102944, 15682, 198, 117475, 125030, 38144, 59739, 32977, 103470, 104195, 16995, 121551, 77181, 57903, 33541, 29295, 5486, 117826, 31640, 16144, 33710, 64178, 16144, 101182, 35083, 119895, 83301, 16144, 102616, 77181, 124563, 107188, 32149, 33655, 30297, 104468, 111108, 102800, 104865, 26854, 114318, 106644, 30297, 104466, 5486, 78183, 121771, 15024, 15682, 78698, 107290, 103801, 61689, 29295, 116898, 32149, 29295, 123253, 32149, 101832, 9174, 90620, 5486, 11881, 242, 106272, 16144, 5486, 91875, 53953, 109904, 22656, 27327, 109904, 5486, 101462, 102, 31431, 105352, 60358, 16995, 105933, 119895, 106106, 16144, 102321, 75267, 11144, 110665, 48634, 16144, 102321, 75267, 11199, 121960, 15682, 110371, 11144, 103268, 96356, 16556, 101682, 107441, 106116, 95543, 102404, 123457, 33655, 76947, 5486, 115519, 19732, 73686, 112909, 33655, 100472, 37087, 48634, 16144, 121551, 16556, 117271, 54926, 11199, 19732, 106644, 30297, 104468, 5486, 19361, 126120, 36785, 106046, 61689, 9174, 22656, 27327, 109904, 110665, 48634, 16144, 102321, 75267, 77181, 123334, 15682, 31431, 37087, 48634, 16144, 105987, 17663, 80805, 109482, 30512, 123927, 18904, 21105, 224, 30297, 112973, 5486, 110219, 36785, 106046, 126832, 55031, 38641, 9174, 77181, 110371, 28713, 102802, 11144, 73686, 46034, 11199, 19732, 106116, 33655, 16995, 24273, 109853, 78698, 107290, 64121, 79721, 9174, 21388, 107591, 102334, 78434, 7, 22634, 5738, 128001, 128000, 2, 125372, 108171, 115389, 16995, 103351, 112418, 29295, 116898, 111201, 39926, 120111, 115389, 16995, 30512, 101545, 44309, 109768, 100472, 32149, 102677, 33334, 87177, 198, 90115, 1811, 40452, 15308, 226, 113598, 101559, 16144, 12554, 241, 107380, 10110, 115464, 33334, 7705, 38641, 9174, 112418, 15682, 37271, 16556, 127105, 120111, 115389, 16995, 29295, 117864, 47884, 103470, 117119, 72661, 30297, 17129, 95604, 17129, 16995, 102083, 76947, 125764, 124195, 114732, 16144, 119627, 111476, 58655, 101828, 112990, 111476, 45829, 67645, 102944, 107404, 15682, 104328, 67645, 47884, 120111, 115389, 117714, 127181, 45829, 67645, 32977, 16556, 56051, 9174, 37271, 18904, 15682, 198, 112418, 29295, 104405, 125338, 120111, 115389, 16995, 30512, 101545, 44309, 56051, 118544, 102677, 33334, 87177, 126198, 16995, 106046, 61689, 9174, 120111, 115389, 16995, 29295, 43240, 47884, 38144, 101128, 102, 126559, 17792, 5486, 45829, 67645, 32977, 115867, 120111, 115389, 119178, 103892, 30512, 108623, 58942, 100934, 17792, 105352, 98499, 25827, 72661, 33503, 58942, 104533, 106515, 16995, 38641, 9174, 51330, 77219, 16144, 30832, 33671, 198, 2, 125372, 108171, 115389, 16995, 103351, 112418, 15682, 116898, 111201, 39926, 120111, 115389, 16995, 30512, 101545, 44309, 56051, 104865, 198, 567, 113170, 33121, 32977, 102147, 226, 30832, 115847, 32977, 102147, 226, 30832, 26854, 45829, 67645, 32977, 113146, 198, 112418, 15682, 114318, 112649, 47884, 125764, 102204, 100604, 102944, 29295, 121771, 98369, 57903, 79721, 9174, 28713, 19732, 116285, 111476, 117203, 124884, 29295, 102147, 226, 30832, 38641, 9174, 108068, 118981, 117203, 124884, 105110, 104603, 37823, 104603, 37823, 16995, 76622, 33541, 29295, 108149, 16144, 117203, 16144, 103271, 26274, 255, 30813, 29295, 123201, 117158, 30369, 106142, 117694, 15682, 15120, 40526, 32977, 125764, 102204, 105823, 104127, 56051, 9174, 43511, 105352, 102147, 226, 30832, 26854, 102944, 30512, 122765, 104533, 111476, 78459, 106240, 5486, 44971, 110590, 10110, 21601, 107969, 56051, 102944, 32977, 65459, 41758, 107805, 70563, 61398, 5486, 64810, 42634, 37823, 5486, 103621, 25005, 97, 5486, 100783, 239, 108104, 104309, 104309, 5486, 109577, 123680, 20230, 88399, 229, 115991, 107515, 9174, 102212, 108171, 15682, 125261, 9554, 125764, 109115, 16144, 119627, 108048, 32977, 45923, 44971, 26269, 57207, 94550, 29295, 58666, 103868, 102800, 110162, 117119, 32149, 103868, 29295, 59739, 16995, 126386, 19732, 101682, 76622, 122382, 107515, 9174, 104328, 67645, 16995, 112973, 122013, 16556, 112258, 233, 126198, 39177, 16556, 5486, 102212, 108171, 71289, 15024, 102334, 76622, 102052, 121019, 112909, 126268, 105823, 104127, 56051, 9174, 112418, 29295, 23964, 116, 116825, 105784, 104468, 107079, 116771, 38641, 9174, 103760, 106759, 15682, 121410, 9080, 46034, 122735, 126694, 76947, 120700, 101732, 16144, 119627, 5486, 112418, 16144, 120111, 115389, 16995, 15682, 15120, 70141, 20230, 71005, 121140, 106116, 110674, 102667, 21990, 117084, 103801, 16995, 79721, 9174, 567, 116431, 50834, 115389, 16995, 30512, 108623, 107800, 110674, 5486, 15308, 226 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 128001, 128000, 113992, 46034, 11144, 73686, 46034, 11199, 109853, 78698, 107290, 64121, 30369, 198, 35894, 46034, 16144, 73686, 46034, 109853, 5486, 78698, 107290, 64121, 101200, 106046, 61689, 9174, 118899, 5486, 123746, 102057, 226, 16144, 58911, 60174, 105408, 16144, 45078, 123160, 91875, 55723, 16556, 26955, 251, 91774, 121256, 123682, 111476, 73686, 112909, 115519, 20230, 73686, 47884, 114667, 29295, 5486, 78183, 107277, 126172, 47884, 122984, 116216, 108086, 79721, 105879, 5486, 48154, 126362, 119707, 101832, 38144, 5486, 105994, 26854, 31431, 105352, 114715, 78698, 107290, 64121, 101200, 106046, 61689, 9174, 58911, 60174, 105408, 16144, 48154, 122984, 38641, 19732, 111476, 73686, 112909, 115519, 125030, 30369, 104468, 120953, 106644, 30297, 100909, 32149, 102083, 61689, 19732, 9174, 126843, 5486, 73686, 112909, 111140, 16144, 45736, 30813, 125030, 30369, 89753, 105647, 32977, 57903, 33541, 5486, 73686, 112909, 111140, 16144, 45736, 30813, 125030, 104533, 5486, 33014, 100818, 116, 16144, 18904, 108436, 15682, 5486, 114948, 104486, 110135, 16144, 18904, 108436, 29295, 36668, 33014, 115717, 33541, 5486, 59739, 109709, 5486, 33014, 100818, 116, 16144, 113351, 55031, 17905, 120938, 103268, 96356, 16144, 122270, 17905, 103268, 17620, 124905, 30297, 105933, 83799, 16144, 26854, 31431, 33541, 9174, 77693, 20230, 106956, 39926, 5486, 73686, 112909, 115519, 125030, 104533, 5486, 114948, 104486, 110135, 126194, 11144, 110135, 114457, 11199, 48154, 19732, 18904, 108436, 124545, 100909, 115717, 33541, 108048, 15682, 59739, 109709, 5486, 11144, 115519, 55031, 17905, 122617, 16144, 30358, 64209, 124905, 76947, 16144, 121551, 11199, 19732, 106644, 30297, 100909, 115717, 33541, 9174, 121551, 16144, 30358, 30813, 19732, 106644, 30297, 114181, 28542, 16556, 16995, 116285, 5486, 114948, 104486, 110135, 103378, 16144, 18904, 108436, 126036, 5486, 115519, 55031, 17905, 120938, 103268, 96356, 122617, 16144, 18904, 108436, 123457, 33655, 100472, 118881, 29295, 5486, 105755, 59739, 114652, 5486, 105755, 30358, 16995, 121551, 29295, 108608, 100909, 115717, 33541, 9174, 73686, 112909, 111140, 125030, 100472, 121551, 15682, 5486, 11144, 198, 111140, 55031, 17905, 16144, 30358, 64209, 124905, 100472, 121551, 11199, 121711, 9174, 73686, 112909, 115519, 125030, 100472, 121551, 15682, 5486, 11144, 198, 115519, 55031, 17905, 16144, 30358, 64209, 124905, 100472, 121551, 11199, 121711, 33541, 9174, 115143, 107294, 76622, 47884, 78183, 58942, 33541, 19732, 5486, 73686, 112909, 115519, 125030, 30369, 100909, 113468, 5486, 110135, 114457, 29295, 18904, 108436, 54926, 113334, 38641, 105879, 111476, 115519, 124905, 100472, 121551, 29295, 115681, 112535, 23039, 30297, 105908, 125545, 9174, 32977, 43514, 85791, 25827, 5486, 17297, 103268, 96356, 29295, 51385, 23187, 109768, 100604, 19732, 5486, 115519, 16144, 18904, 108436, 48634, 29295, 113487, 107441, 103801, 61689, 105879, 5486, 21105, 96, 107277, 114267, 104195, 16995, 17297, 103268, 96356, 29295, 109215, 38641, 9174, 17297, 103268, 96356, 29295, 112294, 16995, 5486, 51385, 23187, 109768, 100604, 19732, 106644, 30297, 109335, 5486, 121551, 16144, 104983, 20230, 5486, 52591, 102756, 52591, 102756, 16144, 124011, 123581, 120938, 20230, 110498, 42891, 126469, 112160, 21990, 103435, 116, 51609, 20230, 80805, 109482, 30512, 120837, 5486, 106956, 56051, 99959, 126989, 30512, 58318, 105262, 109335, 118765, 114318, 106644, 30297, 100909, 19732, 112361, 100909, 38641, 9174, 103223, 33710, 103223, 114615, 22398, 102663, 84477, 116974, 71289, 5486, 30320, 115, 120938, 16556, 80805, 109482, 30512, 36785, 120837, 5486, 99959, 126989, 30512, 30591, 28713, 105262, 67645, 107404, 32149, 105994, 29295, 104328, 121710, 31431, 32149, 58942, 76947, 114732, 16144, 19732, 5486, 112361, 38641, 9174, 11144, 73686, 46034, 11199, 16144, 33655, 16995, 24273, 109853, 126313, 46034, 16144, 33655, 16995, 24273, 109853, 5486, 78698, 107290, 64121, 33541, 9174, 73686, 112909, 33655, 100472, 35894, 46034, 16144, 121551, 15682, 5486, 114652, 103672, 29220, 57207, 94550, 104309, 77181, 11144, 57933, 44971, 108526, 115695, 109482, 11199, 102083, 123671, 33541, 66327, 198, 114284, 121381, 31431, 73686, 112909, 19732, 76947, 5486, 115519, 30512, 104328, 101832, 76947, 55031, 104584, 47884, 80805, 109482, 104309, 5486, 40265, 28713, 30369, 113334, 100604, 108995, 91006, 19732, 106644, 30297, 102944, 38641, 9174, 28713, 67016, 20230, 58426, 121640, 38641, 124192, 28713, 30369, 113334, 115991, 107515, 5486, 110219, 20230, 5877, 102, 50834, 20230, 16995, 76622, 81219, 5486, 40265, 28713, 30369, 109335, 26854, 107188, 126660, 106046, 61689, 9174, 119627, 110371, 11144, 115519, 20230, 73686, 102334, 112909, 5486, 114284, 121381, 31431, 115519, 30512, 18904, 108436, 107726, 5486, 114284, 121381, 31431, 73686, 112909, 19732, 31431, 5486, 114284, 121381, 31431, 37087, 96356, 37087, 48634, 16556, 104584, 47884, 80805, 109482, 7, 37656, 123506, 104584, 50834, 8, 11199, 30512, 5486, 102717, 109416, 78250, 27113, 113127, 40265, 125655, 41007, 115991, 33541, 9174, 122582, 36896, 198, 35894, 124475, 61826, 46034, 110214, 117503, 61826, 107707, 33334, 112690, 20230, 5486, 122617, 96412, 17129, 115032, 32149, 106046, 61689, 9174, 59739, 109709, 111476, 35894, 46034, 16144, 25287, 15682, 59614, 101860, 101682, 76622, 55031, 27704, 109709, 33541, 5486, 101682, 107674, 125344, 110783, 110095, 15682, 104405, 26854, 103836, 123253, 32149, 9174, 101682, 107674, 125344, 110783, 110095, 15682, 5486, 59614, 101860, 11144, 198, 103268, 96356, 11199, 117084, 61689, 9174, 80539, 5486, 95543, 103359, 16144, 46034, 15682, 115519, 20230, 73686, 102532, 61689, 9174, 51330, 125344, 120007, 16144, 110783, 110095, 15682, 5486, 121551, 30512, 15017, 234, 32149, 33121, 5486, 121551, 56051, 118881, 16144, 46034, 16144, 101171, 229, 29295, 35894, 102532, 61689, 5486, 110382, 20230, 198, 30813, 50834, 108680, 16144, 11144, 198, 114284, 121381, 31431, 115519, 30512, 18904, 108436, 107726, 5486, 114284, 121381, 31431, 73686, 112909, 19732, 100472, 11199, 28713, 108005, 115, 111842, 30358, 64209, 16144, 110498, 100472, 121551, 30512, 5877, 102, 50834, 22957, 104004, 16144, 38641, 9174, 90620, 110371, 121551, 15682, 123334, 15682, 31431, 102321, 31640, 16144, 35083, 119895, 83301, 77181, 5486, 38129, 54926, 104468, 111108, 102800, 123253, 9174, 43568, 22649, 77181, 124897, 29295, 5486, 35083, 119895, 83301, 16144, 106081, 40862, 77181, 5486, 111108, 102800, 106046, 61689, 9174, 85701, 15682, 102321, 31640, 35083, 119895, 83301, 16556, 16995, 116285, 116898, 78183, 106644, 30369, 11144, 198, 71493, 115691, 102514, 121551, 11199, 20230, 30591, 115926, 33541, 9174, 35894, 124475, 61826, 46034, 110214, 5486, 106644, 58942, 16144, 100909, 36785, 106046, 123671, 33541, 29295, 9174, 59739, 109709, 5486, 102321, 31640, 35083, 119895, 83301, 77181, 5486, 50021, 112909, 58, 15120, 107666, 16556, 105987, 17663, 60, 9174, 19732, 106644, 30297, 109335, 25580, 29172, 126194, 5486, 83747, 21105, 248, 59739, 99959, 126989, 30512, 58318, 107290, 5486, 106053, 23187, 108995, 104856, 102189, 103950, 19732, 114318, 112649, 47884, 124042, 112535, 11144, 104284, 60632, 11199, 54926, 5486, 105908, 25580, 29172, 101983, 103836, 113009, 198, 11144, 106901, 52884, 11199, 76622, 25827, 44416, 121551, 198, 19732, 106644, 30297, 102944, 29295, 36668, 89753, 109860, 38641, 9174, 106901, 52884, 15682, 121551, 16144, 30591, 19732, 5486, 114225, 20230, 114941, 39926, 103801, 61689, 9174, 110382, 16556, 106901, 52884, 30512, 15017, 234, 102334, 30591, 19732, 20230, 5486, 114225, 20230, 71493, 115691, 102514, 16144, 115519, 16144, 17701, 100472, 37656, 123506, 104584, 50834, 117824, 114598, 124563, 107188, 32149, 124629, 107515, 9174, 108031, 120007, 15682, 110924, 102052, 16995, 100604, 55031, 38641, 9174, 106901, 52884, 19732, 102717, 109416, 115963, 20230, 103223, 11972, 58, 71634, 44971, 84477, 60, 30512, 76537, 59739, 80805, 102514, 16073, 32977, 57903, 33541, 9174, 58426, 107803, 32977, 5486, 18904, 108436, 16144, 113053, 16144, 116690, 16556, 5486, 76537, 43514, 109972, 107441, 103801, 61689, 9174, 110924, 16556, 120953, 126693, 40265, 38144, 104028, 104865, 95532, 85701, 15682, 102321, 31640, 35083, 119895, 83301, 16556, 16995, 116285, 5486, 120007, 29295, 117896, 30512, 198, 58, 105987, 15024, 20230, 105898, 80805, 109482, 60, 20230, 30591, 110027, 30369, 100909, 38641, 9174, 13177, 110382, 16556, 37087, 48634, 16144, 80805, 109482, 30512, 20834, 72342, 81219, 105987, 122101, 66383, 120007, 29295, 91763, 100472, 110018, 20230, 106116, 37087, 48634, 16144, 80805, 109482, 30512, 30813, 81219, 50834, 5486, 115519, 16144, 17701, 100472, 37656, 123506, 30512, 40265, 125655, 100909, 38641, 9174, 32977, 43514, 85791, 25827, 124563, 107188, 32149, 112825, 110904, 26854, 100909, 77181, 124897, 56024, 61, 68380, 32, 198, 90620, 115847, 15682, 33710, 64178, 17905, 16144, 105509, 34171, 16144, 101182, 5486, 35083, 119895, 114300, 83301, 17905, 16144, 100909, 116787, 5486, 103350, 104983, 16144, 119895, 106106, 16144, 102321, 75267, 77181, 123334, 15682, 31431, 61826, 20230, 13177, 198, 106266, 113799, 16144, 30591, 109709, 112909, 20834, 39926, 109749, 120007, 10646, 29295, 78459, 68759, 78459, 68759, 19732, 106901, 52884, 30512, 76537, 76947, 47884, 104533, 15682, 113727, 102204, 20230, 47884, 16995, 38641, 105879, 5486, 103350, 104983, 16144, 119895, 106106, 16144, 102321, 75267, 16556, 108149, 47884, 103296, 104612, 33710, 113245, 19361, 126120, 34171, 114318, 78698, 105262, 125231, 32149, 106046, 61689, 9174, 32977, 43514, 85791, 25827, 5486, 103672, 29220, 60868, 38248, 226, 35083, 119895, 83301, 106613, 111186, 30046, 16556, 5486, 117896, 16144, 103350, 123457, 64121, 30369, 113009, 5486, 117355, 16995, 106901, 52884, 30512, 20834, 39926, 109749, 125396, 15682, 5486, 102321, 31640, 77181, 83747, 103470, 100604, 106046, 61689, 29295, 9174, 120007, 29295, 126920, 106266, 113799, 107113, 126513, 108948, 27929, 124749, 37087, 48634, 16144, 80805, 109482, 29295, 50834, 33541, 105879, 108048, 30512, 15017, 234, 50834, 5486, 35894, 119188, 101171, 229, 71289, 105791, 28190, 20230, 5486, 37656, 123506, 30512, 40265, 125655, 114318, 106644, 30297, 100909, 115717, 33541, 9174, 21105, 96, 107277, 19732, 115519, 30512, 18904, 108436, 107726, 5486, 73686, 112909, 19732, 100472, 37087, 48634, 16144, 121551, 114318, 106644, 30297, 102944, 15682, 198, 117475, 125030, 38144, 59739, 32977, 103470, 104195, 16995, 121551, 77181, 57903, 33541, 29295, 5486, 117826, 31640, 16144, 33710, 64178, 16144, 101182, 35083, 119895, 83301, 16144, 102616, 77181, 124563, 107188, 32149, 33655, 30297, 104468, 111108, 102800, 104865, 26854, 114318, 106644, 30297, 104466, 5486, 78183, 121771, 15024, 15682, 78698, 107290, 103801, 61689, 29295, 116898, 32149, 29295, 123253, 32149, 101832, 9174, 90620, 5486, 11881, 242, 106272, 16144, 5486, 91875, 53953, 109904, 22656, 27327, 109904, 5486, 101462, 102, 31431, 105352, 60358, 16995, 105933, 119895, 106106, 16144, 102321, 75267, 11144, 110665, 48634, 16144, 102321, 75267, 11199, 121960, 15682, 110371, 11144, 103268, 96356, 16556, 101682, 107441, 106116, 95543, 102404, 123457, 33655, 76947, 5486, 115519, 19732, 73686, 112909, 33655, 100472, 37087, 48634, 16144, 121551, 16556, 117271, 54926, 11199, 19732, 106644, 30297, 104468, 5486, 19361, 126120, 36785, 106046, 61689, 9174, 22656, 27327, 109904, 110665, 48634, 16144, 102321, 75267, 77181, 123334, 15682, 31431, 37087, 48634, 16144, 105987, 17663, 80805, 109482, 30512, 123927, 18904, 21105, 224, 30297, 112973, 5486, 110219, 36785, 106046, 126832, 55031, 38641, 9174, 77181, 110371, 28713, 102802, 11144, 73686, 46034, 11199, 19732, 106116, 33655, 16995, 24273, 109853, 78698, 107290, 64121, 79721, 9174, 21388, 107591, 102334, 78434, 7, 22634, 5738, 128001, 128000, 2, 125372, 108171, 115389, 16995, 103351, 112418, 29295, 116898, 111201, 39926, 120111, 115389, 16995, 30512, 101545, 44309, 109768, 100472, 32149, 102677, 33334, 87177, 198, 90115, 1811, 40452, 15308, 226, 113598, 101559, 16144, 12554, 241, 107380, 10110, 115464, 33334, 7705, 38641, 9174, 112418, 15682, 37271, 16556, 127105, 120111, 115389, 16995, 29295, 117864, 47884, 103470, 117119, 72661, 30297, 17129, 95604, 17129, 16995, 102083, 76947, 125764, 124195, 114732, 16144, 119627, 111476, 58655, 101828, 112990, 111476, 45829, 67645, 102944, 107404, 15682, 104328, 67645, 47884, 120111, 115389, 117714, 127181, 45829, 67645, 32977, 16556, 56051, 9174, 37271, 18904, 15682, 198, 112418, 29295, 104405, 125338, 120111, 115389, 16995, 30512, 101545, 44309, 56051, 118544, 102677, 33334, 87177, 126198, 16995, 106046, 61689, 9174, 120111, 115389, 16995, 29295, 43240, 47884, 38144, 101128, 102, 126559, 17792, 5486, 45829, 67645, 32977, 115867, 120111, 115389, 119178, 103892, 30512, 108623, 58942, 100934, 17792, 105352, 98499, 25827, 72661, 33503, 58942, 104533, 106515, 16995, 38641, 9174, 51330, 77219, 16144, 30832, 33671, 198, 2, 125372, 108171, 115389, 16995, 103351, 112418, 15682, 116898, 111201, 39926, 120111, 115389, 16995, 30512, 101545, 44309, 56051, 104865, 198, 567, 113170, 33121, 32977, 102147, 226, 30832, 115847, 32977, 102147, 226, 30832, 26854, 45829, 67645, 32977, 113146, 198, 112418, 15682, 114318, 112649, 47884, 125764, 102204, 100604, 102944, 29295, 121771, 98369, 57903, 79721, 9174, 28713, 19732, 116285, 111476, 117203, 124884, 29295, 102147, 226, 30832, 38641, 9174, 108068, 118981, 117203, 124884, 105110, 104603, 37823, 104603, 37823, 16995, 76622, 33541, 29295, 108149, 16144, 117203, 16144, 103271, 26274, 255, 30813, 29295, 123201, 117158, 30369, 106142, 117694, 15682, 15120, 40526, 32977, 125764, 102204, 105823, 104127, 56051, 9174, 43511, 105352, 102147, 226, 30832, 26854, 102944, 30512, 122765, 104533, 111476, 78459, 106240, 5486, 44971, 110590, 10110, 21601, 107969, 56051, 102944, 32977, 65459, 41758, 107805, 70563, 61398, 5486, 64810, 42634, 37823, 5486, 103621, 25005, 97, 5486, 100783, 239, 108104, 104309, 104309, 5486, 109577, 123680, 20230, 88399, 229, 115991, 107515, 9174, 102212, 108171, 15682, 125261, 9554, 125764, 109115, 16144, 119627, 108048, 32977, 45923, 44971, 26269, 57207, 94550, 29295, 58666, 103868, 102800, 110162, 117119, 32149, 103868, 29295, 59739, 16995, 126386, 19732, 101682, 76622, 122382, 107515, 9174, 104328, 67645, 16995, 112973, 122013, 16556, 112258, 233, 126198, 39177, 16556, 5486, 102212, 108171, 71289, 15024, 102334, 76622, 102052, 121019, 112909, 126268, 105823, 104127, 56051, 9174, 112418, 29295, 23964, 116, 116825, 105784, 104468, 107079, 116771, 38641, 9174, 103760, 106759, 15682, 121410, 9080, 46034, 122735, 126694, 76947, 120700, 101732, 16144, 119627, 5486, 112418, 16144, 120111, 115389, 16995, 15682, 15120, 70141, 20230, 71005, 121140, 106116, 110674, 102667, 21990, 117084, 103801, 16995, 79721, 9174, 567, 116431, 50834, 115389, 16995, 30512, 108623, 107800, 110674, 5486, 15308, 226 ]
[ 113598, 48864, 34048, 102416, 198, 99849, 30512, 56965, 108010, 100472, 104865, 5486, 107943, 112418, 15682, 15308, 226, 113598, 48864, 34048, 102416, 103130, 48864, 121256, 9174, 32977, 107173, 19732, 125764, 30369, 100909, 105352, 77693, 108680, 109834, 103868, 29295, 103470, 5486, 122735, 32977, 117864, 47884, 21105, 103, 102518, 16144, 119627, 111476, 78183, 111842, 109683, 16144, 127181, 116245, 16556, 101662, 100472, 105908, 117375, 15024, 111476, 109683, 108396, 71289, 112027, 20230, 109834, 103868, 115991, 79721, 9174, 77693, 16556, 115018, 61994, 91774, 59739, 107441, 70563, 16073, 19732, 124284, 112973, 15308, 226, 113598, 48864, 34048, 103351, 16144, 38641, 9174, 85701, 29295, 108436, 101513, 16556, 56051, 9174, 567, 101678, 48864, 16556, 121410, 9080, 15308, 226, 113598, 48864, 30512, 48864, 104369, 198, 104575, 16556, 48864, 104369, 107141, 101275, 15682, 17039, 121200, 16556, 5486, 109834, 103868, 102987, 16995, 102944, 29295, 43240, 47884, 57903, 79721, 9174, 125764, 102944, 107809, 102052, 67645, 103171, 15308, 226, 113598, 72238, 29295, 96412, 17129, 115032, 104865, 220, 58426, 15120, 59739, 115303, 59739, 29295, 67645, 103171, 122502, 50834, 114792, 103836, 104865, 102362, 56965, 16144, 111006, 15682, 67645, 119775, 121432, 39926, 5486, 110924, 20230, 15308, 226, 113598, 72238, 29295, 104405, 97518, 78183, 30369, 104865, 198, 13177, 198, 103572, 38574, 121410, 9080, 99849, 95221, 103470, 80805, 29220, 80805, 29220, 125764, 100934, 102456, 30926, 16144, 118124, 102052, 5486, 114387, 102616, 29295, 125062, 84389, 101732, 104865, 76864, 198, 114516, 16144, 111006, 5486, 109683, 98220, 29295, 118544, 103732, 47884, 103082, 100934, 111201, 99750, 91875, 56051, 16144, 30512, 112854, 107290, 61689, 9174, 80539, 5486, 104654, 108710, 101557, 96, 103429, 109853, 32977, 48864, 102802, 79721, 9174, 109683, 16144, 99046, 224, 22649, 30512, 48915, 33121, 5486, 15308, 226, 113598, 72238, 16144, 66953, 119930, 30512, 124490, 102334, 39177, 5486, 112418, 126027, 111006, 20230, 67645, 103171, 105908, 125119, 30369, 104865, 9174, 58426, 109755, 85791, 21105, 243, 30512, 53283, 31431, 115515, 55031, 113614, 20230, 95221, 116825, 124324, 19732, 104195, 47884, 91763, 100472, 102944, 38641, 9174, 107943, 121410, 9080, 30512, 37705, 30369, 117591, 20230, 5486, 112418, 107809, 20230, 104721, 33208, 29295, 72718, 50834, 27704, 62004, 33541, 9174, 567, 113202, 85791, 103171, 102944, 30512, 120111, 115389, 16995, 103470, 125764, 30369, 100909, 102052, 115552, 107407, 198, 66953, 119930, 114652, 125764, 30369, 105908, 27384, 30926, 120572, 111329, 102212, 108171, 32977, 21105, 96, 107277, 125764, 100604, 19732, 111006, 30512, 127258, 17663, 57980, 111329, 102131, 95604, 109335, 108870, 20230, 47307, 47260, 29295, 108608, 104699, 110706, 104655, 32149, 84389, 106307, 76622, 100481, 79721, 9174, 72661, 5486, 102667, 16556, 15308, 226, 113598, 48864, 30512, 48864, 104369, 117591, 20230, 108048, 29295, 15308, 226, 113598, 48864, 20230, 102831, 75694, 56051, 30926, 103350, 103306, 113954, 108608, 101200, 110276, 16144, 38641, 9174, 114516, 29295, 113614, 20230, 123726, 100481, 47884, 103846, 102052, 116898, 85791, 103171, 15308, 226, 113598, 72238, 29295, 109215, 16556, 108048, 33503, 15120, 59739, 15120, 59739, 29295, 111006, 107809, 16556, 77693, 108422, 33121, 16144, 122502, 50834, 114792, 103836, 102189, 9174, 80539, 111476, 77693, 33503, 30512, 127242, 103470, 19732, 31431, 16995, 104028, 103846, 102052, 116898, 85791, 103171, 102944, 30512, 125764, 30369, 109215, 107407, 104865, 111329, 77693, 16556, 71289, 104043, 115847, 103296, 119775, 198, 120111, 115389, 16995, 30512, 39926, 115598, 102456, 30512, 39926, 102532, 15682, 113614, 20230, 127331, 117063, 100604, 120266, 95221, 47000, 32149, 84389, 79721, 9174, 567, 126333, 15024, 72661, 104712, 55031, 102456, 115694, 64121, 101200, 198, 77693, 55031, 112418, 16144, 123120, 29295, 104721, 116547, 79721, 9174, 115389, 16995, 26854, 102944, 125334, 38144, 50834, 111243, 111476, 125764, 30369, 121837, 123410, 101200, 110276, 16144, 38641, 9174, 80673, 116898, 126910, 103892, 16556, 15308, 226, 113598, 126636, 102769, 30813, 29295, 78183, 126469, 102532, 32977, 5486, 16937, 103868, 16995, 102944, 16937, 103868, 16995, 110674, 9174, 77693, 72661, 5486, 109755, 30369, 109755, 30369, 40526, 109156, 106824, 5486, 39177, 102052, 118694, 116825, 17129, 102189, 31431, 33334, 108104, 16556, 89753, 21105, 241, 102189, 31431, 21105, 103, 29295, 33503, 125764, 30369, 104466, 121256, 9174, 72661, 16937, 91763, 104760, 26854, 102944, 16556, 108048, 20230, 36785, 102189, 127842, 101557, 96, 106824, 47884, 104533, 111476, 115389, 103351, 103868, 71289, 102765, 112586, 116875, 108324, 29295, 123733, 76947, 50834, 33541, 9174, 102131, 112990, 115515, 27479, 15682, 198, 58426, 103868, 71289, 102765, 31431, 30512, 13177, 115389, 36785, 66383, 122225, 54926, 16144, 126194, 5486, 90620, 102131, 95604, 103868, 103306, 112391, 30369, 101200, 101983, 107462, 100472, 16144, 38641, 104076, 80539, 83747, 21105, 248, 59739, 5486, 126920, 83747, 21105, 248, 59739, 115389, 16995, 103351, 102944, 29295, 125764, 110071, 101200, 115717, 111476, 67645, 124592, 25827, 120111, 115389, 16995, 29295, 123733, 107462, 50834, 111476, 103801, 16995, 102052, 115389, 16995, 103351, 102944, 29295, 120111, 101983, 107462, 79721, 9174, 37271, 77181, 117203, 124884, 114016, 106142, 117694, 32977, 124527, 117203, 124884, 32977, 27384, 53901, 53953, 38641, 15024, 5486, 101851, 106, 117203, 32977, 27384, 120111, 9174, 112258, 233, 72661, 104004, 15024, 85791, 5486, 20834, 21980, 223, 16144, 103721, 232, 104398, 26854, 30297, 17129, 103868, 29295, 108208, 64121, 69847, 36785, 102212, 108171, 16144, 72238, 103234, 16144, 103868, 78183, 16995, 29295, 28713, 17129, 33503, 103470, 120111, 38641, 9174, 64810, 42634, 37823, 71289, 80805, 29220, 78459, 11972, 5486, 58911, 103433, 240, 71289, 76475, 248, 45829, 104309, 5486, 102765, 111331, 101182, 102944, 107407, 19732, 115003, 231, 106624, 26854, 31431, 33541, 9174, 107943, 112391, 16556, 112418, 16144, 120111, 115389, 16995, 15682, 108038, 101983, 115737, 31431, 79721, 9174, 567, 125389, 101662, 15682, 125764, 102944, 16144, 120111, 115389, 16995, 17663, 33503, 104721, 105262, 198, 102971, 91077, 123011, 62004, 104533, 5486, 112418, 15682, 102667, 16556, 64803, 8107, 56965, 111476, 121410, 9080, 121410, 9080, 105408, 55031, 102456, 101662, 114475, 76622, 101732, 102677, 100909, 38641, 9174, 16995, 85791, 103171, 102944, 30512, 120111, 115389, 16995, 103470, 125764, 30369, 100909, 126636, 30926, 30813, 30512, 113954, 15024, 111476, 37271, 103296, 111098, 107441, 105898, 125764, 102944, 20230, 109834, 103868, 114792, 59739, 101200, 115717, 111476, 58426, 103868, 20230, 101557, 96, 106824, 106116, 103868, 114475, 76622, 82533, 62004, 110071, 101200, 117084, 111476, 114626, 102052, 37026, 33503, 53901, 104127, 125764, 30369, 101200, 101983, 106358, 9174, 59739, 109709, 111476, 53283, 109375, 30512, 50928, 30369, 118733, 5486, 125764, 102944, 20230, 109834, 103868, 114792, 125655, 101200, 101983, 103468, 16144, 38641, 9174, 85701, 29295, 120111, 115389, 16995, 30512, 101545, 44309, 54926, 17905, 16556, 19732, 111243, 119448, 47884, 113266, 56051, 104466, 91763, 61689, 9174, 2, 220, 123011, 62004, 198, 112418, 29295, 102456, 101662, 16144, 112415, 20230, 123457, 17701, 115032, 123017, 110371, 53229, 33014, 111186, 29295, 119448, 16995, 38641, 9174, 110241, 5486, 32977, 107173, 19732, 99849, 72661, 125764, 110071, 105933, 45829, 67645, 32977, 103351, 33503, 5486, 120111, 115389, 16995, 107407, 107707, 120208, 29295, 78183, 124403, 32149, 110241, 33121, 107515, 29295, 111476, 112418, 102052, 77693, 29295, 108631, 16995, 108680, 78183, 107277, 33541, 9174, 104712, 116233, 111476, 45829, 67645, 102944, 119400, 15682, 120111, 115389, 16995, 122291, 76947, 9174, 110924, 16556, 43568, 22649, 71289, 31431, 125764, 107726, 104533, 89783, 82420, 115389, 108176, 32149, 110241, 33121, 107515, 9174, 64209, 55487, 21105, 103, 47884, 111243, 27384, 121313, 9174, 16995, 101860, 33121, 125764, 110071, 101200, 115717, 33541, 9174, 27384, 102769, 26854, 109335, 120111, 115389, 16995, 30512, 103470, 17663, 120266, 22957, 36785, 78183, 30369, 16144, 126194, 38144, 111476, 45829, 67645, 32977, 29295, 125764, 102944, 20230, 109834, 103868, 114792, 125655, 105933, 102456, 101662, 30512, 102923, 17663, 100909, 111769, 123253, 32149, 9174, 58426, 103846, 102052, 15308, 226, 113598, 16144, 100909, 121142, 103470, 111476, 125764, 102944, 29295, 104405, 125338, 5486, 67645, 103171, 110783, 16556, 5486, 67645, 103171, 17792, 113468, 19967, 125398, 32149, 30512, 5486, 127032, 126365, 72342, 115926, 104655, 32149, 72342, 115926, 54926, 100909, 38641, 9174, 16995, 112495, 31431, 118322, 112772, 89154, 16073, 19732, 22324, 32149, 103468, 125764, 102944, 126036, 5486, 67645, 103171, 105104, 30297, 20230, 21990, 17129, 106824, 101662, 38144, 109115, 104865, 29295, 78183, 102518, 118881, 29295, 109834, 103868, 114792, 59739, 105184, 96455, 29295, 115442, 31431, 33541, 9174, 80539, 85701, 15682, 127032, 20230, 48249, 100472, 100909, 126194, 110745, 107707, 102456, 123120, 30512, 104721, 105262, 17905, 72661, 27384, 112495, 107734, 111017, 30512, 28873, 28713, 17663, 104466, 91763, 61689, 9174, 11144, 116564, 18904, 16144, 77219, 114556, 89046, 56051, 77219, 16144, 48154, 126362, 105147, 84499, 115728, 105065, 16556, 19361, 101513, 114407, 25333, 5486, 43568, 114407, 117434, 114407, 25333, 30512, 112167, 104004, 114407, 46729, 98369, 20230, 114407, 101275, 103672, 93488, 103906, 39880, 120650, 121118, 6447, 84499, 125389, 101662, 103306, 16144, 104774, 127674, 94550, 220, 103911, 103181, 103242, 109519, 107294, 105722, 30369, 114667, 107118, 11571, 84499, 1054, 109713, 91482, 78683, 33334, 16556, 25827, 29295, 109688, 117126, 76858, 16144, 118331, 61398, 104088, 38144, 5486, 103188, 21403, 108, 20230, 95543, 106608, 103792, 17792, 105459, 111363, 108010, 34208, 99750, 128001, 128000, 33334, 67645, 30369, 114052, 104088, 100934, 19732, 5486, 33354, 237, 71289, 32149, 16556, 104622, 102800, 120208, 108176, 103013, 103, 71634, 109229, 198, 58843, 240, 50834, 71634, 109229, 16144, 33655, 16995, 24273, 15682, 117896, 30512, 48154, 111182, 72315, 103013, 103, 71634, 109229, 30512, 102395, 109431, 20230, 33655, 30297, 113009, 198, 17792, 19732, 101987, 17129, 16995, 30512, 104840, 109315, 102012, 110993, 16144, 58843, 240, 50834, 71634, 109229, 198, 13177, 71493, 125024, 16073, 118331, 84477, 32131, 33710, 118587, 53283, 76947, 61689, 32149, 95532, 102803, 52591, 109054, 29220, 33710, 107809, 16556, 5486, 8445, 17, 16144, 61056, 20834, 19732, 107246, 110226, 29295, 57326, 112718, 68759, 25197, 96452, 22398, 108270, 42634, 108176, 106592, 13177, 71493, 125024, 16073, 118331, 84477, 32131, 33710, 66383, 78244, 61689, 9174, 103013, 103, 30512, 114887, 126172, 19732, 5486, 8445, 17, 30512, 61056, 20834, 78434, 29295, 106116, 8445, 17, 15682, 58426, 76505, 29295, 13153, 101544, 54926, 110018, 20230, 107246, 110226, 56051, 8445, 17, 19732, 112361, 33857, 9174, 59739, 109709, 5486, 103013, 103, 30512, 114887, 71289, 120837, 127960, 17905, 16144, 8445, 17, 15682, 124500, 110104, 16144, 38641, 9174, 76505, 15682, 33655, 76947, 127105, 127960, 104840, 118937, 33208, 30512, 103181, 105557, 33541, 198, 76505, 16144, 13153, 101544, 117232, 15682, 103664, 966, 8107, 108680, 113637, 122756, 8445, 17, 30512, 67645, 124592, 25827, 107246, 110226, 78434, 29295, 5486, 13153, 101544, 29295, 82533, 17129, 104533, 30591, 109709, 8445, 17, 30512, 107246, 110226, 21105, 103, 115737, 107462, 50834, 33541, 9174, 76505, 15682, 82420, 55723, 112535, 17885, 238, 118935, 15024, 5486, 118416, 76505, 30512, 109178, 58942, 5486, 105268, 16995, 76505, 16144, 13153, 101544, 30512, 113096, 17663, 118881, 29295, 127960, 104840, 118937, 33208, 16144, 103181, 82533, 20230, 19361, 126120, 126529, 38641, 9174, 103013, 103, 124905, 30297, 109335, 76505, 30512, 101662, 38144, 5486, 105466, 30512, 88356, 21990, 107726, 5486, 117501, 30512, 106154, 30369, 100909, 108176, 16144, 38641, 1811, 128001, 128000, 114654, 12554, 237, 20230, 28425, 112, 49988, 110276, 107803, 111476, 112832, 32977, 29295, 13177, 114654, 117503, 108914, 107591, 114475, 76622, 33541, 9174, 102321, 30590, 16144, 35894, 103354, 20230, 28037, 100815, 56051, 58426, 112661, 56965, 55031, 36896, 104655, 50834, 18655, 110615, 0, 10646, 19732, 111006, 126867, 126238, 105714, 29295, 102149, 31431, 33541, 9174, 58426, 123470, 104654, 32977, 5486, 126238, 105714, 16144, 75267, 28190, 15682, 120351, 27479, 19732, 103470, 124364, 76947, 109749, 16144, 119627, 5486, 115963, 20230, 111476, 13177, 19732, 112649, 47884, 15120, 106145, 32977, 103856, 47884, 114654, 29295, 17905, 46034, 115737, 31431, 106956, 76864, 198, 102677, 104195, 16995, 114284, 29295, 22957, 64121, 109415, 38144, 109749, 123017, 30926, 103350, 38641, 9174, 58426, 114284, 30512, 103350, 102321, 124545, 113009, 111476, 106649, 117232, 16556, 114654, 30512, 104405, 127564, 108710, 50928, 108608, 104865, 95532, 103350, 104983, 20230, 127164, 126202, 19000, 16325, 16144, 116882, 30046, 29295, 33014, 111186, 56051, 106613, 111186, 55031, 5486, 126120, 96455, 109904, 114654, 108710, 50928, 25333, 30512, 48154, 126362, 56051, 16995, 106046, 61689, 9174, 827, 34676, 114654, 17905, 104067, 16144, 97518, 89046, 77219, 15682, 117896, 112479, 77386, 114654, 108710, 50928, 20230, 107734, 80195, 59739, 117896, 16144, 108134, 32977, 48154, 111182, 72315, 1811, 103188, 86436, 16144, 77219, 124720, 15682, 117896, 198, 567, 104975, 102158, 17905, 104067, 15682, 127298, 9554, 109972, 111600, 29295, 112366, 16144, 114737, 6447, 85701, 15682, 64209, 20230, 82533, 107436, 33334, 108895, 198, 125559, 28425, 112, 49988, 54926, 24273, 16144, 198, 112366, 16144, 39850, 37823, 67075, 15682, 13177, 102321, 30590, 124911, 19732, 116414, 72661, 113841, 108608, 66383, 95604, 100909, 38641, 9174, 126843, 15682, 51330, 39850, 37823, 67075, 30512, 112366, 48249, 20230, 21990, 32149, 39926, 111476, 115364, 85701, 103296, 71634, 48552, 39926, 105898, 114654, 30512, 39880, 125916, 57326, 67075, 54926, 105908, 114654, 108710, 50928, 111363, 60358, 45893, 38641, 9174, 58426, 95543, 28190, 5486, 110968, 104743, 39926, 119869, 20230, 104369, 59739, 117295, 97518, 103722, 15682, 36896, 114654, 29295, 17297, 46034, 118816, 106142, 121771, 30591, 15024, 33503, 126832, 66383, 95604, 127298, 9554, 102895, 48552, 38641, 9174, 87177, 29295, 17620, 55031, 101860, 20230, 90962, 45923, 90962, 45923, 109768, 104533, 36896, 15682, 30591, 1981, 10646, 19732, 30591, 55031, 118969, 20230, 103846, 23018, 116825, 32149, 104028, 115789, 83747, 103470, 124897, 9174, 80539, 86127, 126027, 64209, 15682, 108881, 106824, 5486, 33541, 33541, 102321, 30590, 124911, 19732, 87177, 17663, 106592, 103846, 33503, 76947, 114732, 16144, 38641, 9174, 51330, 103846, 110706, 29295, 5486, 106649, 117232, 113245, 114654, 108710, 50928, 102052, 27384 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 113598, 48864, 34048, 102416, 198, 99849, 30512, 56965, 108010, 100472, 104865, 5486, 107943, 112418, 15682, 15308, 226, 113598, 48864, 34048, 102416, 103130, 48864, 121256, 9174, 32977, 107173, 19732, 125764, 30369, 100909, 105352, 77693, 108680, 109834, 103868, 29295, 103470, 5486, 122735, 32977, 117864, 47884, 21105, 103, 102518, 16144, 119627, 111476, 78183, 111842, 109683, 16144, 127181, 116245, 16556, 101662, 100472, 105908, 117375, 15024, 111476, 109683, 108396, 71289, 112027, 20230, 109834, 103868, 115991, 79721, 9174, 77693, 16556, 115018, 61994, 91774, 59739, 107441, 70563, 16073, 19732, 124284, 112973, 15308, 226, 113598, 48864, 34048, 103351, 16144, 38641, 9174, 85701, 29295, 108436, 101513, 16556, 56051, 9174, 567, 101678, 48864, 16556, 121410, 9080, 15308, 226, 113598, 48864, 30512, 48864, 104369, 198, 104575, 16556, 48864, 104369, 107141, 101275, 15682, 17039, 121200, 16556, 5486, 109834, 103868, 102987, 16995, 102944, 29295, 43240, 47884, 57903, 79721, 9174, 125764, 102944, 107809, 102052, 67645, 103171, 15308, 226, 113598, 72238, 29295, 96412, 17129, 115032, 104865, 220, 58426, 15120, 59739, 115303, 59739, 29295, 67645, 103171, 122502, 50834, 114792, 103836, 104865, 102362, 56965, 16144, 111006, 15682, 67645, 119775, 121432, 39926, 5486, 110924, 20230, 15308, 226, 113598, 72238, 29295, 104405, 97518, 78183, 30369, 104865, 198, 13177, 198, 103572, 38574, 121410, 9080, 99849, 95221, 103470, 80805, 29220, 80805, 29220, 125764, 100934, 102456, 30926, 16144, 118124, 102052, 5486, 114387, 102616, 29295, 125062, 84389, 101732, 104865, 76864, 198, 114516, 16144, 111006, 5486, 109683, 98220, 29295, 118544, 103732, 47884, 103082, 100934, 111201, 99750, 91875, 56051, 16144, 30512, 112854, 107290, 61689, 9174, 80539, 5486, 104654, 108710, 101557, 96, 103429, 109853, 32977, 48864, 102802, 79721, 9174, 109683, 16144, 99046, 224, 22649, 30512, 48915, 33121, 5486, 15308, 226, 113598, 72238, 16144, 66953, 119930, 30512, 124490, 102334, 39177, 5486, 112418, 126027, 111006, 20230, 67645, 103171, 105908, 125119, 30369, 104865, 9174, 58426, 109755, 85791, 21105, 243, 30512, 53283, 31431, 115515, 55031, 113614, 20230, 95221, 116825, 124324, 19732, 104195, 47884, 91763, 100472, 102944, 38641, 9174, 107943, 121410, 9080, 30512, 37705, 30369, 117591, 20230, 5486, 112418, 107809, 20230, 104721, 33208, 29295, 72718, 50834, 27704, 62004, 33541, 9174, 567, 113202, 85791, 103171, 102944, 30512, 120111, 115389, 16995, 103470, 125764, 30369, 100909, 102052, 115552, 107407, 198, 66953, 119930, 114652, 125764, 30369, 105908, 27384, 30926, 120572, 111329, 102212, 108171, 32977, 21105, 96, 107277, 125764, 100604, 19732, 111006, 30512, 127258, 17663, 57980, 111329, 102131, 95604, 109335, 108870, 20230, 47307, 47260, 29295, 108608, 104699, 110706, 104655, 32149, 84389, 106307, 76622, 100481, 79721, 9174, 72661, 5486, 102667, 16556, 15308, 226, 113598, 48864, 30512, 48864, 104369, 117591, 20230, 108048, 29295, 15308, 226, 113598, 48864, 20230, 102831, 75694, 56051, 30926, 103350, 103306, 113954, 108608, 101200, 110276, 16144, 38641, 9174, 114516, 29295, 113614, 20230, 123726, 100481, 47884, 103846, 102052, 116898, 85791, 103171, 15308, 226, 113598, 72238, 29295, 109215, 16556, 108048, 33503, 15120, 59739, 15120, 59739, 29295, 111006, 107809, 16556, 77693, 108422, 33121, 16144, 122502, 50834, 114792, 103836, 102189, 9174, 80539, 111476, 77693, 33503, 30512, 127242, 103470, 19732, 31431, 16995, 104028, 103846, 102052, 116898, 85791, 103171, 102944, 30512, 125764, 30369, 109215, 107407, 104865, 111329, 77693, 16556, 71289, 104043, 115847, 103296, 119775, 198, 120111, 115389, 16995, 30512, 39926, 115598, 102456, 30512, 39926, 102532, 15682, 113614, 20230, 127331, 117063, 100604, 120266, 95221, 47000, 32149, 84389, 79721, 9174, 567, 126333, 15024, 72661, 104712, 55031, 102456, 115694, 64121, 101200, 198, 77693, 55031, 112418, 16144, 123120, 29295, 104721, 116547, 79721, 9174, 115389, 16995, 26854, 102944, 125334, 38144, 50834, 111243, 111476, 125764, 30369, 121837, 123410, 101200, 110276, 16144, 38641, 9174, 80673, 116898, 126910, 103892, 16556, 15308, 226, 113598, 126636, 102769, 30813, 29295, 78183, 126469, 102532, 32977, 5486, 16937, 103868, 16995, 102944, 16937, 103868, 16995, 110674, 9174, 77693, 72661, 5486, 109755, 30369, 109755, 30369, 40526, 109156, 106824, 5486, 39177, 102052, 118694, 116825, 17129, 102189, 31431, 33334, 108104, 16556, 89753, 21105, 241, 102189, 31431, 21105, 103, 29295, 33503, 125764, 30369, 104466, 121256, 9174, 72661, 16937, 91763, 104760, 26854, 102944, 16556, 108048, 20230, 36785, 102189, 127842, 101557, 96, 106824, 47884, 104533, 111476, 115389, 103351, 103868, 71289, 102765, 112586, 116875, 108324, 29295, 123733, 76947, 50834, 33541, 9174, 102131, 112990, 115515, 27479, 15682, 198, 58426, 103868, 71289, 102765, 31431, 30512, 13177, 115389, 36785, 66383, 122225, 54926, 16144, 126194, 5486, 90620, 102131, 95604, 103868, 103306, 112391, 30369, 101200, 101983, 107462, 100472, 16144, 38641, 104076, 80539, 83747, 21105, 248, 59739, 5486, 126920, 83747, 21105, 248, 59739, 115389, 16995, 103351, 102944, 29295, 125764, 110071, 101200, 115717, 111476, 67645, 124592, 25827, 120111, 115389, 16995, 29295, 123733, 107462, 50834, 111476, 103801, 16995, 102052, 115389, 16995, 103351, 102944, 29295, 120111, 101983, 107462, 79721, 9174, 37271, 77181, 117203, 124884, 114016, 106142, 117694, 32977, 124527, 117203, 124884, 32977, 27384, 53901, 53953, 38641, 15024, 5486, 101851, 106, 117203, 32977, 27384, 120111, 9174, 112258, 233, 72661, 104004, 15024, 85791, 5486, 20834, 21980, 223, 16144, 103721, 232, 104398, 26854, 30297, 17129, 103868, 29295, 108208, 64121, 69847, 36785, 102212, 108171, 16144, 72238, 103234, 16144, 103868, 78183, 16995, 29295, 28713, 17129, 33503, 103470, 120111, 38641, 9174, 64810, 42634, 37823, 71289, 80805, 29220, 78459, 11972, 5486, 58911, 103433, 240, 71289, 76475, 248, 45829, 104309, 5486, 102765, 111331, 101182, 102944, 107407, 19732, 115003, 231, 106624, 26854, 31431, 33541, 9174, 107943, 112391, 16556, 112418, 16144, 120111, 115389, 16995, 15682, 108038, 101983, 115737, 31431, 79721, 9174, 567, 125389, 101662, 15682, 125764, 102944, 16144, 120111, 115389, 16995, 17663, 33503, 104721, 105262, 198, 102971, 91077, 123011, 62004, 104533, 5486, 112418, 15682, 102667, 16556, 64803, 8107, 56965, 111476, 121410, 9080, 121410, 9080, 105408, 55031, 102456, 101662, 114475, 76622, 101732, 102677, 100909, 38641, 9174, 16995, 85791, 103171, 102944, 30512, 120111, 115389, 16995, 103470, 125764, 30369, 100909, 126636, 30926, 30813, 30512, 113954, 15024, 111476, 37271, 103296, 111098, 107441, 105898, 125764, 102944, 20230, 109834, 103868, 114792, 59739, 101200, 115717, 111476, 58426, 103868, 20230, 101557, 96, 106824, 106116, 103868, 114475, 76622, 82533, 62004, 110071, 101200, 117084, 111476, 114626, 102052, 37026, 33503, 53901, 104127, 125764, 30369, 101200, 101983, 106358, 9174, 59739, 109709, 111476, 53283, 109375, 30512, 50928, 30369, 118733, 5486, 125764, 102944, 20230, 109834, 103868, 114792, 125655, 101200, 101983, 103468, 16144, 38641, 9174, 85701, 29295, 120111, 115389, 16995, 30512, 101545, 44309, 54926, 17905, 16556, 19732, 111243, 119448, 47884, 113266, 56051, 104466, 91763, 61689, 9174, 2, 220, 123011, 62004, 198, 112418, 29295, 102456, 101662, 16144, 112415, 20230, 123457, 17701, 115032, 123017, 110371, 53229, 33014, 111186, 29295, 119448, 16995, 38641, 9174, 110241, 5486, 32977, 107173, 19732, 99849, 72661, 125764, 110071, 105933, 45829, 67645, 32977, 103351, 33503, 5486, 120111, 115389, 16995, 107407, 107707, 120208, 29295, 78183, 124403, 32149, 110241, 33121, 107515, 29295, 111476, 112418, 102052, 77693, 29295, 108631, 16995, 108680, 78183, 107277, 33541, 9174, 104712, 116233, 111476, 45829, 67645, 102944, 119400, 15682, 120111, 115389, 16995, 122291, 76947, 9174, 110924, 16556, 43568, 22649, 71289, 31431, 125764, 107726, 104533, 89783, 82420, 115389, 108176, 32149, 110241, 33121, 107515, 9174, 64209, 55487, 21105, 103, 47884, 111243, 27384, 121313, 9174, 16995, 101860, 33121, 125764, 110071, 101200, 115717, 33541, 9174, 27384, 102769, 26854, 109335, 120111, 115389, 16995, 30512, 103470, 17663, 120266, 22957, 36785, 78183, 30369, 16144, 126194, 38144, 111476, 45829, 67645, 32977, 29295, 125764, 102944, 20230, 109834, 103868, 114792, 125655, 105933, 102456, 101662, 30512, 102923, 17663, 100909, 111769, 123253, 32149, 9174, 58426, 103846, 102052, 15308, 226, 113598, 16144, 100909, 121142, 103470, 111476, 125764, 102944, 29295, 104405, 125338, 5486, 67645, 103171, 110783, 16556, 5486, 67645, 103171, 17792, 113468, 19967, 125398, 32149, 30512, 5486, 127032, 126365, 72342, 115926, 104655, 32149, 72342, 115926, 54926, 100909, 38641, 9174, 16995, 112495, 31431, 118322, 112772, 89154, 16073, 19732, 22324, 32149, 103468, 125764, 102944, 126036, 5486, 67645, 103171, 105104, 30297, 20230, 21990, 17129, 106824, 101662, 38144, 109115, 104865, 29295, 78183, 102518, 118881, 29295, 109834, 103868, 114792, 59739, 105184, 96455, 29295, 115442, 31431, 33541, 9174, 80539, 85701, 15682, 127032, 20230, 48249, 100472, 100909, 126194, 110745, 107707, 102456, 123120, 30512, 104721, 105262, 17905, 72661, 27384, 112495, 107734, 111017, 30512, 28873, 28713, 17663, 104466, 91763, 61689, 9174, 11144, 116564, 18904, 16144, 77219, 114556, 89046, 56051, 77219, 16144, 48154, 126362, 105147, 84499, 115728, 105065, 16556, 19361, 101513, 114407, 25333, 5486, 43568, 114407, 117434, 114407, 25333, 30512, 112167, 104004, 114407, 46729, 98369, 20230, 114407, 101275, 103672, 93488, 103906, 39880, 120650, 121118, 6447, 84499, 125389, 101662, 103306, 16144, 104774, 127674, 94550, 220, 103911, 103181, 103242, 109519, 107294, 105722, 30369, 114667, 107118, 11571, 84499, 1054, 109713, 91482, 78683, 33334, 16556, 25827, 29295, 109688, 117126, 76858, 16144, 118331, 61398, 104088, 38144, 5486, 103188, 21403, 108, 20230, 95543, 106608, 103792, 17792, 105459, 111363, 108010, 34208, 99750, 128001, 128000, 33334, 67645, 30369, 114052, 104088, 100934, 19732, 5486, 33354, 237, 71289, 32149, 16556, 104622, 102800, 120208, 108176, 103013, 103, 71634, 109229, 198, 58843, 240, 50834, 71634, 109229, 16144, 33655, 16995, 24273, 15682, 117896, 30512, 48154, 111182, 72315, 103013, 103, 71634, 109229, 30512, 102395, 109431, 20230, 33655, 30297, 113009, 198, 17792, 19732, 101987, 17129, 16995, 30512, 104840, 109315, 102012, 110993, 16144, 58843, 240, 50834, 71634, 109229, 198, 13177, 71493, 125024, 16073, 118331, 84477, 32131, 33710, 118587, 53283, 76947, 61689, 32149, 95532, 102803, 52591, 109054, 29220, 33710, 107809, 16556, 5486, 8445, 17, 16144, 61056, 20834, 19732, 107246, 110226, 29295, 57326, 112718, 68759, 25197, 96452, 22398, 108270, 42634, 108176, 106592, 13177, 71493, 125024, 16073, 118331, 84477, 32131, 33710, 66383, 78244, 61689, 9174, 103013, 103, 30512, 114887, 126172, 19732, 5486, 8445, 17, 30512, 61056, 20834, 78434, 29295, 106116, 8445, 17, 15682, 58426, 76505, 29295, 13153, 101544, 54926, 110018, 20230, 107246, 110226, 56051, 8445, 17, 19732, 112361, 33857, 9174, 59739, 109709, 5486, 103013, 103, 30512, 114887, 71289, 120837, 127960, 17905, 16144, 8445, 17, 15682, 124500, 110104, 16144, 38641, 9174, 76505, 15682, 33655, 76947, 127105, 127960, 104840, 118937, 33208, 30512, 103181, 105557, 33541, 198, 76505, 16144, 13153, 101544, 117232, 15682, 103664, 966, 8107, 108680, 113637, 122756, 8445, 17, 30512, 67645, 124592, 25827, 107246, 110226, 78434, 29295, 5486, 13153, 101544, 29295, 82533, 17129, 104533, 30591, 109709, 8445, 17, 30512, 107246, 110226, 21105, 103, 115737, 107462, 50834, 33541, 9174, 76505, 15682, 82420, 55723, 112535, 17885, 238, 118935, 15024, 5486, 118416, 76505, 30512, 109178, 58942, 5486, 105268, 16995, 76505, 16144, 13153, 101544, 30512, 113096, 17663, 118881, 29295, 127960, 104840, 118937, 33208, 16144, 103181, 82533, 20230, 19361, 126120, 126529, 38641, 9174, 103013, 103, 124905, 30297, 109335, 76505, 30512, 101662, 38144, 5486, 105466, 30512, 88356, 21990, 107726, 5486, 117501, 30512, 106154, 30369, 100909, 108176, 16144, 38641, 1811, 128001, 128000, 114654, 12554, 237, 20230, 28425, 112, 49988, 110276, 107803, 111476, 112832, 32977, 29295, 13177, 114654, 117503, 108914, 107591, 114475, 76622, 33541, 9174, 102321, 30590, 16144, 35894, 103354, 20230, 28037, 100815, 56051, 58426, 112661, 56965, 55031, 36896, 104655, 50834, 18655, 110615, 0, 10646, 19732, 111006, 126867, 126238, 105714, 29295, 102149, 31431, 33541, 9174, 58426, 123470, 104654, 32977, 5486, 126238, 105714, 16144, 75267, 28190, 15682, 120351, 27479, 19732, 103470, 124364, 76947, 109749, 16144, 119627, 5486, 115963, 20230, 111476, 13177, 19732, 112649, 47884, 15120, 106145, 32977, 103856, 47884, 114654, 29295, 17905, 46034, 115737, 31431, 106956, 76864, 198, 102677, 104195, 16995, 114284, 29295, 22957, 64121, 109415, 38144, 109749, 123017, 30926, 103350, 38641, 9174, 58426, 114284, 30512, 103350, 102321, 124545, 113009, 111476, 106649, 117232, 16556, 114654, 30512, 104405, 127564, 108710, 50928, 108608, 104865, 95532, 103350, 104983, 20230, 127164, 126202, 19000, 16325, 16144, 116882, 30046, 29295, 33014, 111186, 56051, 106613, 111186, 55031, 5486, 126120, 96455, 109904, 114654, 108710, 50928, 25333, 30512, 48154, 126362, 56051, 16995, 106046, 61689, 9174, 827, 34676, 114654, 17905, 104067, 16144, 97518, 89046, 77219, 15682, 117896, 112479, 77386, 114654, 108710, 50928, 20230, 107734, 80195, 59739, 117896, 16144, 108134, 32977, 48154, 111182, 72315, 1811, 103188, 86436, 16144, 77219, 124720, 15682, 117896, 198, 567, 104975, 102158, 17905, 104067, 15682, 127298, 9554, 109972, 111600, 29295, 112366, 16144, 114737, 6447, 85701, 15682, 64209, 20230, 82533, 107436, 33334, 108895, 198, 125559, 28425, 112, 49988, 54926, 24273, 16144, 198, 112366, 16144, 39850, 37823, 67075, 15682, 13177, 102321, 30590, 124911, 19732, 116414, 72661, 113841, 108608, 66383, 95604, 100909, 38641, 9174, 126843, 15682, 51330, 39850, 37823, 67075, 30512, 112366, 48249, 20230, 21990, 32149, 39926, 111476, 115364, 85701, 103296, 71634, 48552, 39926, 105898, 114654, 30512, 39880, 125916, 57326, 67075, 54926, 105908, 114654, 108710, 50928, 111363, 60358, 45893, 38641, 9174, 58426, 95543, 28190, 5486, 110968, 104743, 39926, 119869, 20230, 104369, 59739, 117295, 97518, 103722, 15682, 36896, 114654, 29295, 17297, 46034, 118816, 106142, 121771, 30591, 15024, 33503, 126832, 66383, 95604, 127298, 9554, 102895, 48552, 38641, 9174, 87177, 29295, 17620, 55031, 101860, 20230, 90962, 45923, 90962, 45923, 109768, 104533, 36896, 15682, 30591, 1981, 10646, 19732, 30591, 55031, 118969, 20230, 103846, 23018, 116825, 32149, 104028, 115789, 83747, 103470, 124897, 9174, 80539, 86127, 126027, 64209, 15682, 108881, 106824, 5486, 33541, 33541, 102321, 30590, 124911, 19732, 87177, 17663, 106592, 103846, 33503, 76947, 114732, 16144, 38641, 9174, 51330, 103846, 110706, 29295, 5486, 106649, 117232, 113245, 114654, 108710, 50928, 102052, 27384 ]
[ 112495, 108502, 104698, 104856, 76947, 103801, 61689, 9174, 109860, 127105, 5486, 126843, 15682, 198, 122141, 16995, 100472, 127298, 121894, 108176, 66383, 95604, 106592, 30926, 112772, 113954, 39926, 33334, 50834, 17129, 109954, 1811, 102362, 21990, 29295, 102616, 102416, 108285, 29295, 30369, 47260, 119263, 78683, 103906, 13177, 72342, 121867, 100204, 116186, 30297, 60868, 125933, 10110, 92693, 7705, 10646, 102416, 104394, 75293, 78434, 198, 17792, 101171, 230, 118823, 102756, 105048, 16144, 106391, 113638, 5486, 108134, 110226, 43167, 121453, 102800, 100909, 111363, 109933, 111999, 76428, 19732, 20834, 38093, 16995, 29295, 75293, 76947, 61689, 198, 567, 103423, 112, 49988, 112919, 112366, 16144, 39850, 37823, 67075, 30512, 76706, 11883, 119607, 6447, 118522, 101513, 97518, 16556, 96356, 32977, 64209, 32977, 101557, 96, 33503, 102131, 9174, 110924, 16556, 126843, 15682, 5486, 28425, 112, 49988, 61826, 16144, 13177, 118522, 102923, 102332, 10646, 16556, 114654, 30512, 101557, 96, 33503, 17663, 106592, 33334, 125683, 62004, 78434, 9174, 90962, 22398, 22398, 39850, 16144, 13177, 118522, 102923, 102332, 10646, 15682, 5486, 88852, 16144, 19, 59739, 38641, 9174, 14711, 50702, 111, 124020, 198, 67645, 16144, 111629, 124020, 72661, 111476, 60634, 70821, 16144, 113009, 1600, 43, 7, 23392, 10657, 11688, 8, 107059, 22398, 29295, 87447, 113497, 116216, 61689, 9174, 58426, 108134, 29295, 102717, 102800, 5486, 102677, 13372, 30832, 16556, 71493, 115691, 102514, 124911, 19732, 38093, 87177, 30512, 27704, 109315, 105908, 125545, 9174, 110924, 55031, 5486, 121568, 108134, 125104, 71289, 57326, 77750, 32131, 91062, 16144, 116718, 16144, 122984, 104309, 5486, 87177, 104482, 15682, 120007, 29295, 104908, 39926, 120700, 33541, 9174, 107430, 102351, 15682, 60634, 70821, 20230, 101557, 96, 33121, 100481, 38144, 5486, 114654, 29295, 103082, 103470, 111243, 104622, 106624, 117271, 39926, 124089, 103846, 5486, 117896, 32977, 51385, 64209, 39926, 122678, 104004, 105908, 125545, 9174, 14711, 107668, 101467, 198, 33334, 45829, 103826, 125001, 33503, 42891, 116826, 30369, 24273, 15682, 5486, 48154, 45829, 23018, 29295, 33035, 30297, 104575, 15682, 32977, 43514, 85791, 25827, 5486, 41642, 115195, 16144, 127177, 104575, 16144, 122984, 30512, 104655, 50834, 120650, 119064, 32977, 104712, 109933, 107446, 38641, 9174, 66378, 20230, 86127, 80195, 16144, 104575, 15682, 5486, 108064, 72661, 91774, 48864, 15722, 241, 109169, 38641, 15024, 5486, 126913, 30046, 15682, 48915, 29504, 107707, 106759, 105352, 101557, 96, 115032, 105879, 5486, 104257, 121370, 113115, 106608, 39926, 120700, 33541, 9174, 53900, 5486, 48154, 22656, 114754, 23039, 47884, 126513, 102667, 16144, 102158, 48864, 107059, 117718, 122984, 30512, 104655, 50834, 120650, 47884, 106592, 33334, 53508, 100, 62004, 78434, 9174, 102208, 102667, 102052, 103826, 104680, 26854, 44971, 102832, 114615, 102158, 48864, 107059, 22398, 115991, 5486, 104650, 106718, 32977, 43240, 47884, 107991, 105879, 5486, 106759, 96356, 20230, 87177, 30512, 104655, 102532, 120700, 33541, 9174, 14711, 5657, 11182, 10110, 80805, 105048, 9458, 103857, 71634, 37823, 110548, 23954, 13177, 64706, 11182, 66383, 15682, 5486, 102208, 23530, 102865, 101634, 20230, 57903, 116898, 78183, 106644, 30369, 45631, 23530, 111848, 23530, 70821, 16144, 124122, 101513, 97518, 10646, 38641, 9174, 102433, 16556, 95604, 23530, 16144, 47260, 119263, 78683, 103906, 120690, 120950, 110229, 16556, 111476, 127032, 55031, 119436, 11883, 70141, 76622, 103296, 5486, 103826, 104680, 26854, 108710, 16995, 30926, 71289, 25197, 102832, 52414, 29295, 20713, 8107, 30512, 33035, 39926, 98897, 55723, 103768, 112167, 116216, 61689, 9174, 110924, 16556, 5486, 57326, 77750, 32131, 91062, 30512, 32977, 33503, 76947, 109834, 103868, 16144, 101182, 10110, 103470, 111243, 7705, 100909, 109853, 5486, 104655, 102532, 64121, 30369, 16144, 38641, 9174, 117896, 32977, 23530, 16144, 103826, 104680, 26854, 17792, 104091, 16144, 101987, 70821, 113115, 106608, 103792, 105879, 5486, 104622, 106624, 100927, 107290, 120700, 33541, 9174, 14711, 109388, 38093, 198, 100927, 38093, 72661, 111629, 124020, 119775, 1600, 43, 107059, 22398, 125523, 119188, 110229, 115991, 33541, 9174, 53900, 5486, 105343, 107792, 16144, 25197, 102832, 52414, 71289, 107591, 26955, 251, 16556, 100927, 38093, 125523, 54322, 109768, 104533, 107404, 32977, 127181, 105879, 108048, 109853, 104655, 50834, 23039, 119064, 32977, 104712, 123253, 9174, 102433, 17792, 102052, 102616, 16325, 116414, 72661, 122502, 47884, 109933, 107446, 107407, 1811, 125559, 16556, 122502, 47884, 15682, 100204, 62004, 112028, 105564, 16144, 101335, 65299, 102040, 65299, 19732, 107253, 104874, 41007, 30512, 118192, 108270, 52414, 78434, 198, 567, 59330, 224, 103722, 72516, 16556, 114654, 20230, 109933, 111999, 76428, 106609, 118522, 102923, 102332, 16556, 114654, 30512, 101557, 96, 33503, 127564, 5486, 33671, 15682, 33334, 72516, 20230, 109933, 111999, 76428, 38641, 9174, 22398, 124603, 16556, 13177, 85701, 15682, 116414, 20230, 57903, 33541, 32149, 91006, 55031, 27704, 107436, 5486, 114363, 103722, 72516, 120650, 50834, 17129, 109954, 9174, 110382, 16556, 107693, 26854, 104468, 5486, 23039, 47884, 112772, 115303, 59739, 105107, 25446, 30512, 104662, 107436, 106548, 103826, 104309, 30512, 112825, 110904, 20230, 104873, 115694, 23039, 47884, 100909, 38641, 9174, 14711, 110147, 33208, 105107, 25446, 16144, 114363, 103722, 72516, 198, 127164, 16556, 78244, 116285, 198, 13177, 14809, 3780, 10646, 104309, 29295, 58426, 116882, 103892, 123253, 32149, 9174, 102433, 19732, 42016, 103826, 20230, 5486, 102208, 105525, 31431, 75267, 102052, 58426, 105107, 25446, 16144, 126913, 30046, 29295, 61689, 9174, 104662, 62004, 100481, 100472, 105107, 25446, 109853, 106116, 72516, 102351, 20230, 104655, 102532, 64121, 30369, 16144, 38641, 9174, 112990, 5486, 102944, 17663, 48154, 16995, 22398, 70563, 65575, 16556, 87177, 15024, 27704, 107436, 36896, 85701, 29295, 22656, 53953, 16144, 114654, 32149, 0, 10646, 19732, 121819, 105987, 103646, 16144, 30512, 112854, 107290, 61689, 9174, 30926, 112772, 106548, 103826, 30512, 53283, 107462, 104984, 119568, 33503, 29295, 87177, 17663, 44915, 15682, 27384, 33014, 101067, 66201, 29295, 59739, 47884, 105879, 5486, 110924, 103296, 126238, 105714, 54926, 115789, 103470, 5486, 21990, 16144, 114654, 20230, 109835, 104028, 105908, 125545, 9174, 14711, 126743, 118, 115351, 102895, 103830, 198, 67645, 51330, 29504, 72661, 5486, 120988, 115351, 15682, 59614, 101860, 102321, 30590, 16144, 102944, 30512, 107691, 30297, 116497, 38641, 9174, 120988, 115351, 16144, 107391, 104612, 102895, 103830, 117158, 32149, 107441, 5486, 57326, 93488, 16144, 104091, 104770, 71289, 101513, 104091, 109853, 104873, 103854, 28713, 106592, 104655, 102532, 64121, 17129, 109954, 9174, 102433, 72661, 120988, 115351, 102895, 103830, 16144, 72516, 102351, 117940, 108948, 87177, 17905, 46034, 38641, 123794, 9174, 117896, 32977, 112361, 16556, 5486, 66378, 20230, 105268, 16995, 72516, 102351, 29295, 127181, 105879, 5486, 31958, 30369, 47884, 38144, 89154, 103830, 26854, 112391, 16556, 87177, 39926, 120700, 33541, 9174, 85701, 29295, 5486, 114654, 48864, 108710, 30046, 102052, 104655, 50834, 108167, 20230, 47884, 16995, 6447, 13177, 21990, 16144, 114654, 107118, 108895, 95604, 100909, 32149, 66383, 5486, 108008, 20230, 53508, 231, 104195, 115717, 33541, 9174, 14711, 106773, 94550, 112718, 102895, 103830, 198, 86127, 29295, 123222, 75267, 36785, 106046, 100472, 104468, 111476, 60868, 94550, 112718, 112197, 72516, 38641, 9174, 127164, 77181, 9080, 104364, 21105, 234, 104195, 16995, 19732, 5486, 105140, 72661, 113786, 72661, 112073, 60868, 94550, 112718, 119707, 76622, 33541, 9174, 66378, 20230, 101918, 16144, 103768, 108436, 118430, 27479, 29295, 126574, 105879, 5486, 59614, 116156, 111090, 57933, 91062, 126529, 38641, 9174, 60868, 94550, 112718, 30512, 107691, 30297, 39177, 102052, 111476, 115364, 53901, 64121, 5486, 104654, 105335, 106696, 5486, 89753, 23039, 104309, 5486, 37689, 48915, 19732, 115364, 106592, 87177, 17663, 109215, 107407, 16144, 38641, 9174, 53900, 111476, 108936, 9554, 102052, 31809, 65316, 72516, 29295, 127181, 105879, 5486, 101462, 255, 16995, 35894, 56965, 16556, 102750, 25197, 103906, 52884, 19732, 20713, 103359, 20713, 16556, 87177, 17663, 102677, 5486, 104712, 115541, 108710, 115717, 79721, 9174, 67645, 16144, 105107, 25446, 72661, 104712, 16144, 119627, 5486, 104654, 17905, 59614, 101860, 109215, 26854, 102944, 20230, 112990, 5486, 17297, 104873, 103854, 110241, 126172, 16995, 38641, 15024, 5486, 103350, 104983, 20230, 58426, 75267, 16556, 109198, 17701, 120837, 126521, 105879, 5486, 117896, 30512, 90962, 22398, 22398, 39850, 19732, 121256, 9174, 110229, 16556, 5486, 72516, 102351, 20230, 39135, 104680, 87177, 30512, 104655, 102334, 74482, 5486, 107691, 30297, 32149, 107691, 78183, 100604, 32149, 30512, 117598, 109115, 33503, 104405, 125338, 110074, 102639, 104984, 104712, 105879, 109954, 95532, 107943, 39177, 15682, 5486, 108895, 119852, 78683, 47260, 26269, 19732, 126693, 104712, 16144, 38641, 9174, 2118, 9930, 499, 13, 358, 1205, 311, 1781, 922, 433, 13, 126672, 2118, 358, 15763, 701, 1520, 13, 1054, 198, 2118, 1472, 617, 1027, 779, 11190, 13, 1054, 198, 567, 103593, 111, 30512, 101557, 96, 33503, 39926, 5486, 102404, 79785, 30512, 104195, 33208, 119607, 6447, 33334, 125683, 62004, 16144, 25963, 118821, 41007, 198, 125559, 28425, 112, 49988, 112919, 30537, 25963, 16144, 39850, 37823, 67075, 15682, 198, 13177, 102750, 25197, 103906, 52884, 16144, 102404, 79785, 29295, 116414, 72661, 104655, 105784, 76864, 102677, 100909, 38641, 9174, 127164, 15682, 60634, 70821, 29295, 127181, 29504, 26854, 105879, 5486, 32977, 43514, 85791, 25827, 37087, 102351, 29295, 102750, 25197, 103906, 52884, 16144, 102404, 79785, 77181, 124897, 9174, 80673, 108048, 32977, 96412, 107436, 13177, 127164, 10646, 26854, 105879, 5486, 67645, 16144, 102404, 79785, 30512, 104655, 102532, 32977, 115552, 107407, 16144, 38641, 9174, 80539, 5486, 68408, 39850, 37823, 67075, 103306, 15682, 13177, 115364, 102404, 79785, 29295, 120007, 20230, 33035, 100204, 100604, 76864, 102677, 100909, 38641, 9174, 99849, 27479, 32977, 104655, 50834, 104196, 84389, 104533, 5486, 36785, 102189, 127842, 71174, 32977, 31809, 30813, 115737, 31431, 5486, 122270, 120007, 20230, 108044, 78183, 110104, 1981, 9174, 28425, 112, 49988, 112919, 37087, 102351, 29295, 127637, 15682, 106613, 111186, 109768, 104533, 91763, 61689, 9174, 110924, 16556, 5486, 90962, 22398, 22398, 39850, 15682, 117896, 38641, 9174, 14711, 117826, 30590, 16144, 111926, 30512, 120273, 103664, 54926, 198, 111926, 72661, 110191, 118372, 72661, 5486, 59739, 107674, 33503, 108064, 72661, 117896, 16144, 57326, 77750, 32131, 91062, 29295, 91774, 110071, 104466, 39926, 33334, 50834, 17129, 109954, 9174, 119869, 15682, 102717, 19732, 124592, 104655, 50834, 18655, 33121, 107515, 9174, 126843, 15682, 118331, 61398, 30512, 116696, 48552, 9174, 27384, 112495, 118331, 61398, 15682, 102433, 16144, 104930, 52591, 118928, 72369, 61398, 104309, 72661, 108167, 109415, 110071, 105879, 5486, 30926, 112772, 58721, 16144, 107963, 31634, 30512, 102433, 102158, 16556, 116696, 48552, 39926, 55031, 91774, 104533, 5486, 17620, 107277, 126172, 117201, 109954, 9174, 118331, 61398, 16144, 17297, 102052, 58426, 44915, 29295, 88435, 16556, 89753, 115032, 105879, 108048, 30512, 30832, 16556, 104862, 16995, 106272, 104655, 119064, 32977, 104712, 38641, 57980, 9174, 827, 63415, 97518, 89046, 77219, 198, 53901, 112495, 115173, 68759, 71289, 124011, 109089, 107407, 19732, 5486, 95221, 17620, 108436, 109033, 105352, 26854, 76947, 104712, 106046, 61689, 9174, 30591, 107118, 62903, 26269, 78525, 11883, 16144, 104378, 120706, 29295, 37689, 48915, 19732, 107734, 20230, 118013, 33541, 9174, 110904, 102158, 29295, 112854, 58942, 126172, 16995, 104466, 19967, 125398, 127949, 71289, 5486, 108396, 5486, 114172, 102512, 104309, 32977, 115408, 105459, 125030, 76947, 15682, 26854, 107188, 32149, 123499, 38641, 9174, 14711, 106156, 71634, 93488, 120650, 47884, 198, 44971, 71634, 93488, 77181, 5486, 105994, 29295, 26130, 17161, 56051, 44915, 30512, 59614, 101860, 109095, 110125, 84389, 33541, 9174, 58426, 125344, 72516, 102351, 16144, 102404, 79785, 20230, 108870, 30512, 101427, 122, 107441, 72315, 9174, 103572, 38574, 5486, 115364, 102404, 79785, 29295, 67645, 33121, 120264, 102750, 25197, 103906, 52884, 55031, 126929, 106627, 115032, 32149, 29295, 17620, 107277, 33541, 9174, 80539, 110371, 110904, 102158, 16144, 13177, 602, 115188, 15682, 13177, 25197, 10646, 126194, 13177, 111090, 66383, 98499, 104004, 104865, 5486, 123160, 102404, 91774, 115991, 33541, 9174, 53900, 115132, 114740, 15682, 78459, 103830, 44416, 26854, 105879, 5486, 115364, 57933, 121294, 126913, 110276, 72516, 102351, 117940, 19732, 111243, 106759, 102769, 38641, 9174, 100909, 101182, 48154, 19732, 20230, 87177, 67016, 107441, 109749, 105879, 5486, 117896, 32977, 58426, 27479, 20230, 127091, 126130, 124730, 112990, 109095, 110125, 96455, 29295, 115442, 76947, 5486, 104712, 53508, 231, 104195, 115717, 33541, 9174, 567, 103423, 112, 49988, 61826, 16144, 114654, 48864, 108710, 25333, 123011, 62004, 198, 110968, 104743, 123470, 112366, 16144, 39850, 37823, 67075, 15682, 5486, 102321, 30590, 124911, 19732, 116414, 72661, 113841, 108608, 100909, 9174, 68408, 39850, 37823, 67075, 15682, 5486, 114654, 29295, 118765, 19732, 106142, 121771, 30591, 15024, 33503, 126832, 100909, 9174, 109860, 108149, 15024, 33503, 126832, 106592, 53283, 100472, 30297, 58942, 16556, 5486, 109020, 103854, 47884, 109755, 110615, 104466, 39926, 72315, 9174, 53508, 231, 104195, 16144, 89753, 33121, 103306, 15682, 198, 12, 125606, 101860, 15682, 118522, 102923, 102332, 16556, 114654, 30512, 101557, 96, 33503, 17663, 9174, 12, 115338, 20230, 5486, 30926, 25580, 107253, 104874, 30512, 39926, 5486, 114363, 103722, 72516, 16556, 72516, 102351, 19732, 38093, 87177, 54926, 9174, 102677, 89753, 33121, 38641, 9174, 114654, 16144, 22398, 70563, 38248, 255, 94550, 48634, 29295, 112185, 18259, 237, 102800, 24273, 15682, 5486, 125559, 55031, 48864, 108710, 108608, 22398, 70563, 38248, 255, 94550, 66378, 33208, 57326, 77750, 32131, 91062, 32977, 33334, 125683, 62004, 38641, 80129, 198, 80539, 5486, 28425, 112, 49988, 123470, 30537, 25963, 16144, 39850, 37823, 67075, 15682, 111476, 102750, 25197, 103906, 52884, 16144, 102404, 79785, 29295, 116414, 72661, 104655, 105784, 100909, 1811, 68408, 39850, 37823, 67075, 15682, 5486, 115364, 102404, 79785, 29295, 33035, 100204, 100604, 100909, 9174, 102404, 79785, 16144, 48864, 108710, 15682, 198, 12, 113545, 108518, 104088, 38144, 102750, 25197, 103906, 52884, 16144, 102404, 79785, 20230, 101557, 96, 104028, 100909, 9174, 12, 106156, 71634, 93488, 16556, 72516, 102351, 29295, 109095 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 112495, 108502, 104698, 104856, 76947, 103801, 61689, 9174, 109860, 127105, 5486, 126843, 15682, 198, 122141, 16995, 100472, 127298, 121894, 108176, 66383, 95604, 106592, 30926, 112772, 113954, 39926, 33334, 50834, 17129, 109954, 1811, 102362, 21990, 29295, 102616, 102416, 108285, 29295, 30369, 47260, 119263, 78683, 103906, 13177, 72342, 121867, 100204, 116186, 30297, 60868, 125933, 10110, 92693, 7705, 10646, 102416, 104394, 75293, 78434, 198, 17792, 101171, 230, 118823, 102756, 105048, 16144, 106391, 113638, 5486, 108134, 110226, 43167, 121453, 102800, 100909, 111363, 109933, 111999, 76428, 19732, 20834, 38093, 16995, 29295, 75293, 76947, 61689, 198, 567, 103423, 112, 49988, 112919, 112366, 16144, 39850, 37823, 67075, 30512, 76706, 11883, 119607, 6447, 118522, 101513, 97518, 16556, 96356, 32977, 64209, 32977, 101557, 96, 33503, 102131, 9174, 110924, 16556, 126843, 15682, 5486, 28425, 112, 49988, 61826, 16144, 13177, 118522, 102923, 102332, 10646, 16556, 114654, 30512, 101557, 96, 33503, 17663, 106592, 33334, 125683, 62004, 78434, 9174, 90962, 22398, 22398, 39850, 16144, 13177, 118522, 102923, 102332, 10646, 15682, 5486, 88852, 16144, 19, 59739, 38641, 9174, 14711, 50702, 111, 124020, 198, 67645, 16144, 111629, 124020, 72661, 111476, 60634, 70821, 16144, 113009, 1600, 43, 7, 23392, 10657, 11688, 8, 107059, 22398, 29295, 87447, 113497, 116216, 61689, 9174, 58426, 108134, 29295, 102717, 102800, 5486, 102677, 13372, 30832, 16556, 71493, 115691, 102514, 124911, 19732, 38093, 87177, 30512, 27704, 109315, 105908, 125545, 9174, 110924, 55031, 5486, 121568, 108134, 125104, 71289, 57326, 77750, 32131, 91062, 16144, 116718, 16144, 122984, 104309, 5486, 87177, 104482, 15682, 120007, 29295, 104908, 39926, 120700, 33541, 9174, 107430, 102351, 15682, 60634, 70821, 20230, 101557, 96, 33121, 100481, 38144, 5486, 114654, 29295, 103082, 103470, 111243, 104622, 106624, 117271, 39926, 124089, 103846, 5486, 117896, 32977, 51385, 64209, 39926, 122678, 104004, 105908, 125545, 9174, 14711, 107668, 101467, 198, 33334, 45829, 103826, 125001, 33503, 42891, 116826, 30369, 24273, 15682, 5486, 48154, 45829, 23018, 29295, 33035, 30297, 104575, 15682, 32977, 43514, 85791, 25827, 5486, 41642, 115195, 16144, 127177, 104575, 16144, 122984, 30512, 104655, 50834, 120650, 119064, 32977, 104712, 109933, 107446, 38641, 9174, 66378, 20230, 86127, 80195, 16144, 104575, 15682, 5486, 108064, 72661, 91774, 48864, 15722, 241, 109169, 38641, 15024, 5486, 126913, 30046, 15682, 48915, 29504, 107707, 106759, 105352, 101557, 96, 115032, 105879, 5486, 104257, 121370, 113115, 106608, 39926, 120700, 33541, 9174, 53900, 5486, 48154, 22656, 114754, 23039, 47884, 126513, 102667, 16144, 102158, 48864, 107059, 117718, 122984, 30512, 104655, 50834, 120650, 47884, 106592, 33334, 53508, 100, 62004, 78434, 9174, 102208, 102667, 102052, 103826, 104680, 26854, 44971, 102832, 114615, 102158, 48864, 107059, 22398, 115991, 5486, 104650, 106718, 32977, 43240, 47884, 107991, 105879, 5486, 106759, 96356, 20230, 87177, 30512, 104655, 102532, 120700, 33541, 9174, 14711, 5657, 11182, 10110, 80805, 105048, 9458, 103857, 71634, 37823, 110548, 23954, 13177, 64706, 11182, 66383, 15682, 5486, 102208, 23530, 102865, 101634, 20230, 57903, 116898, 78183, 106644, 30369, 45631, 23530, 111848, 23530, 70821, 16144, 124122, 101513, 97518, 10646, 38641, 9174, 102433, 16556, 95604, 23530, 16144, 47260, 119263, 78683, 103906, 120690, 120950, 110229, 16556, 111476, 127032, 55031, 119436, 11883, 70141, 76622, 103296, 5486, 103826, 104680, 26854, 108710, 16995, 30926, 71289, 25197, 102832, 52414, 29295, 20713, 8107, 30512, 33035, 39926, 98897, 55723, 103768, 112167, 116216, 61689, 9174, 110924, 16556, 5486, 57326, 77750, 32131, 91062, 30512, 32977, 33503, 76947, 109834, 103868, 16144, 101182, 10110, 103470, 111243, 7705, 100909, 109853, 5486, 104655, 102532, 64121, 30369, 16144, 38641, 9174, 117896, 32977, 23530, 16144, 103826, 104680, 26854, 17792, 104091, 16144, 101987, 70821, 113115, 106608, 103792, 105879, 5486, 104622, 106624, 100927, 107290, 120700, 33541, 9174, 14711, 109388, 38093, 198, 100927, 38093, 72661, 111629, 124020, 119775, 1600, 43, 107059, 22398, 125523, 119188, 110229, 115991, 33541, 9174, 53900, 5486, 105343, 107792, 16144, 25197, 102832, 52414, 71289, 107591, 26955, 251, 16556, 100927, 38093, 125523, 54322, 109768, 104533, 107404, 32977, 127181, 105879, 108048, 109853, 104655, 50834, 23039, 119064, 32977, 104712, 123253, 9174, 102433, 17792, 102052, 102616, 16325, 116414, 72661, 122502, 47884, 109933, 107446, 107407, 1811, 125559, 16556, 122502, 47884, 15682, 100204, 62004, 112028, 105564, 16144, 101335, 65299, 102040, 65299, 19732, 107253, 104874, 41007, 30512, 118192, 108270, 52414, 78434, 198, 567, 59330, 224, 103722, 72516, 16556, 114654, 20230, 109933, 111999, 76428, 106609, 118522, 102923, 102332, 16556, 114654, 30512, 101557, 96, 33503, 127564, 5486, 33671, 15682, 33334, 72516, 20230, 109933, 111999, 76428, 38641, 9174, 22398, 124603, 16556, 13177, 85701, 15682, 116414, 20230, 57903, 33541, 32149, 91006, 55031, 27704, 107436, 5486, 114363, 103722, 72516, 120650, 50834, 17129, 109954, 9174, 110382, 16556, 107693, 26854, 104468, 5486, 23039, 47884, 112772, 115303, 59739, 105107, 25446, 30512, 104662, 107436, 106548, 103826, 104309, 30512, 112825, 110904, 20230, 104873, 115694, 23039, 47884, 100909, 38641, 9174, 14711, 110147, 33208, 105107, 25446, 16144, 114363, 103722, 72516, 198, 127164, 16556, 78244, 116285, 198, 13177, 14809, 3780, 10646, 104309, 29295, 58426, 116882, 103892, 123253, 32149, 9174, 102433, 19732, 42016, 103826, 20230, 5486, 102208, 105525, 31431, 75267, 102052, 58426, 105107, 25446, 16144, 126913, 30046, 29295, 61689, 9174, 104662, 62004, 100481, 100472, 105107, 25446, 109853, 106116, 72516, 102351, 20230, 104655, 102532, 64121, 30369, 16144, 38641, 9174, 112990, 5486, 102944, 17663, 48154, 16995, 22398, 70563, 65575, 16556, 87177, 15024, 27704, 107436, 36896, 85701, 29295, 22656, 53953, 16144, 114654, 32149, 0, 10646, 19732, 121819, 105987, 103646, 16144, 30512, 112854, 107290, 61689, 9174, 30926, 112772, 106548, 103826, 30512, 53283, 107462, 104984, 119568, 33503, 29295, 87177, 17663, 44915, 15682, 27384, 33014, 101067, 66201, 29295, 59739, 47884, 105879, 5486, 110924, 103296, 126238, 105714, 54926, 115789, 103470, 5486, 21990, 16144, 114654, 20230, 109835, 104028, 105908, 125545, 9174, 14711, 126743, 118, 115351, 102895, 103830, 198, 67645, 51330, 29504, 72661, 5486, 120988, 115351, 15682, 59614, 101860, 102321, 30590, 16144, 102944, 30512, 107691, 30297, 116497, 38641, 9174, 120988, 115351, 16144, 107391, 104612, 102895, 103830, 117158, 32149, 107441, 5486, 57326, 93488, 16144, 104091, 104770, 71289, 101513, 104091, 109853, 104873, 103854, 28713, 106592, 104655, 102532, 64121, 17129, 109954, 9174, 102433, 72661, 120988, 115351, 102895, 103830, 16144, 72516, 102351, 117940, 108948, 87177, 17905, 46034, 38641, 123794, 9174, 117896, 32977, 112361, 16556, 5486, 66378, 20230, 105268, 16995, 72516, 102351, 29295, 127181, 105879, 5486, 31958, 30369, 47884, 38144, 89154, 103830, 26854, 112391, 16556, 87177, 39926, 120700, 33541, 9174, 85701, 29295, 5486, 114654, 48864, 108710, 30046, 102052, 104655, 50834, 108167, 20230, 47884, 16995, 6447, 13177, 21990, 16144, 114654, 107118, 108895, 95604, 100909, 32149, 66383, 5486, 108008, 20230, 53508, 231, 104195, 115717, 33541, 9174, 14711, 106773, 94550, 112718, 102895, 103830, 198, 86127, 29295, 123222, 75267, 36785, 106046, 100472, 104468, 111476, 60868, 94550, 112718, 112197, 72516, 38641, 9174, 127164, 77181, 9080, 104364, 21105, 234, 104195, 16995, 19732, 5486, 105140, 72661, 113786, 72661, 112073, 60868, 94550, 112718, 119707, 76622, 33541, 9174, 66378, 20230, 101918, 16144, 103768, 108436, 118430, 27479, 29295, 126574, 105879, 5486, 59614, 116156, 111090, 57933, 91062, 126529, 38641, 9174, 60868, 94550, 112718, 30512, 107691, 30297, 39177, 102052, 111476, 115364, 53901, 64121, 5486, 104654, 105335, 106696, 5486, 89753, 23039, 104309, 5486, 37689, 48915, 19732, 115364, 106592, 87177, 17663, 109215, 107407, 16144, 38641, 9174, 53900, 111476, 108936, 9554, 102052, 31809, 65316, 72516, 29295, 127181, 105879, 5486, 101462, 255, 16995, 35894, 56965, 16556, 102750, 25197, 103906, 52884, 19732, 20713, 103359, 20713, 16556, 87177, 17663, 102677, 5486, 104712, 115541, 108710, 115717, 79721, 9174, 67645, 16144, 105107, 25446, 72661, 104712, 16144, 119627, 5486, 104654, 17905, 59614, 101860, 109215, 26854, 102944, 20230, 112990, 5486, 17297, 104873, 103854, 110241, 126172, 16995, 38641, 15024, 5486, 103350, 104983, 20230, 58426, 75267, 16556, 109198, 17701, 120837, 126521, 105879, 5486, 117896, 30512, 90962, 22398, 22398, 39850, 19732, 121256, 9174, 110229, 16556, 5486, 72516, 102351, 20230, 39135, 104680, 87177, 30512, 104655, 102334, 74482, 5486, 107691, 30297, 32149, 107691, 78183, 100604, 32149, 30512, 117598, 109115, 33503, 104405, 125338, 110074, 102639, 104984, 104712, 105879, 109954, 95532, 107943, 39177, 15682, 5486, 108895, 119852, 78683, 47260, 26269, 19732, 126693, 104712, 16144, 38641, 9174, 2118, 9930, 499, 13, 358, 1205, 311, 1781, 922, 433, 13, 126672, 2118, 358, 15763, 701, 1520, 13, 1054, 198, 2118, 1472, 617, 1027, 779, 11190, 13, 1054, 198, 567, 103593, 111, 30512, 101557, 96, 33503, 39926, 5486, 102404, 79785, 30512, 104195, 33208, 119607, 6447, 33334, 125683, 62004, 16144, 25963, 118821, 41007, 198, 125559, 28425, 112, 49988, 112919, 30537, 25963, 16144, 39850, 37823, 67075, 15682, 198, 13177, 102750, 25197, 103906, 52884, 16144, 102404, 79785, 29295, 116414, 72661, 104655, 105784, 76864, 102677, 100909, 38641, 9174, 127164, 15682, 60634, 70821, 29295, 127181, 29504, 26854, 105879, 5486, 32977, 43514, 85791, 25827, 37087, 102351, 29295, 102750, 25197, 103906, 52884, 16144, 102404, 79785, 77181, 124897, 9174, 80673, 108048, 32977, 96412, 107436, 13177, 127164, 10646, 26854, 105879, 5486, 67645, 16144, 102404, 79785, 30512, 104655, 102532, 32977, 115552, 107407, 16144, 38641, 9174, 80539, 5486, 68408, 39850, 37823, 67075, 103306, 15682, 13177, 115364, 102404, 79785, 29295, 120007, 20230, 33035, 100204, 100604, 76864, 102677, 100909, 38641, 9174, 99849, 27479, 32977, 104655, 50834, 104196, 84389, 104533, 5486, 36785, 102189, 127842, 71174, 32977, 31809, 30813, 115737, 31431, 5486, 122270, 120007, 20230, 108044, 78183, 110104, 1981, 9174, 28425, 112, 49988, 112919, 37087, 102351, 29295, 127637, 15682, 106613, 111186, 109768, 104533, 91763, 61689, 9174, 110924, 16556, 5486, 90962, 22398, 22398, 39850, 15682, 117896, 38641, 9174, 14711, 117826, 30590, 16144, 111926, 30512, 120273, 103664, 54926, 198, 111926, 72661, 110191, 118372, 72661, 5486, 59739, 107674, 33503, 108064, 72661, 117896, 16144, 57326, 77750, 32131, 91062, 29295, 91774, 110071, 104466, 39926, 33334, 50834, 17129, 109954, 9174, 119869, 15682, 102717, 19732, 124592, 104655, 50834, 18655, 33121, 107515, 9174, 126843, 15682, 118331, 61398, 30512, 116696, 48552, 9174, 27384, 112495, 118331, 61398, 15682, 102433, 16144, 104930, 52591, 118928, 72369, 61398, 104309, 72661, 108167, 109415, 110071, 105879, 5486, 30926, 112772, 58721, 16144, 107963, 31634, 30512, 102433, 102158, 16556, 116696, 48552, 39926, 55031, 91774, 104533, 5486, 17620, 107277, 126172, 117201, 109954, 9174, 118331, 61398, 16144, 17297, 102052, 58426, 44915, 29295, 88435, 16556, 89753, 115032, 105879, 108048, 30512, 30832, 16556, 104862, 16995, 106272, 104655, 119064, 32977, 104712, 38641, 57980, 9174, 827, 63415, 97518, 89046, 77219, 198, 53901, 112495, 115173, 68759, 71289, 124011, 109089, 107407, 19732, 5486, 95221, 17620, 108436, 109033, 105352, 26854, 76947, 104712, 106046, 61689, 9174, 30591, 107118, 62903, 26269, 78525, 11883, 16144, 104378, 120706, 29295, 37689, 48915, 19732, 107734, 20230, 118013, 33541, 9174, 110904, 102158, 29295, 112854, 58942, 126172, 16995, 104466, 19967, 125398, 127949, 71289, 5486, 108396, 5486, 114172, 102512, 104309, 32977, 115408, 105459, 125030, 76947, 15682, 26854, 107188, 32149, 123499, 38641, 9174, 14711, 106156, 71634, 93488, 120650, 47884, 198, 44971, 71634, 93488, 77181, 5486, 105994, 29295, 26130, 17161, 56051, 44915, 30512, 59614, 101860, 109095, 110125, 84389, 33541, 9174, 58426, 125344, 72516, 102351, 16144, 102404, 79785, 20230, 108870, 30512, 101427, 122, 107441, 72315, 9174, 103572, 38574, 5486, 115364, 102404, 79785, 29295, 67645, 33121, 120264, 102750, 25197, 103906, 52884, 55031, 126929, 106627, 115032, 32149, 29295, 17620, 107277, 33541, 9174, 80539, 110371, 110904, 102158, 16144, 13177, 602, 115188, 15682, 13177, 25197, 10646, 126194, 13177, 111090, 66383, 98499, 104004, 104865, 5486, 123160, 102404, 91774, 115991, 33541, 9174, 53900, 115132, 114740, 15682, 78459, 103830, 44416, 26854, 105879, 5486, 115364, 57933, 121294, 126913, 110276, 72516, 102351, 117940, 19732, 111243, 106759, 102769, 38641, 9174, 100909, 101182, 48154, 19732, 20230, 87177, 67016, 107441, 109749, 105879, 5486, 117896, 32977, 58426, 27479, 20230, 127091, 126130, 124730, 112990, 109095, 110125, 96455, 29295, 115442, 76947, 5486, 104712, 53508, 231, 104195, 115717, 33541, 9174, 567, 103423, 112, 49988, 61826, 16144, 114654, 48864, 108710, 25333, 123011, 62004, 198, 110968, 104743, 123470, 112366, 16144, 39850, 37823, 67075, 15682, 5486, 102321, 30590, 124911, 19732, 116414, 72661, 113841, 108608, 100909, 9174, 68408, 39850, 37823, 67075, 15682, 5486, 114654, 29295, 118765, 19732, 106142, 121771, 30591, 15024, 33503, 126832, 100909, 9174, 109860, 108149, 15024, 33503, 126832, 106592, 53283, 100472, 30297, 58942, 16556, 5486, 109020, 103854, 47884, 109755, 110615, 104466, 39926, 72315, 9174, 53508, 231, 104195, 16144, 89753, 33121, 103306, 15682, 198, 12, 125606, 101860, 15682, 118522, 102923, 102332, 16556, 114654, 30512, 101557, 96, 33503, 17663, 9174, 12, 115338, 20230, 5486, 30926, 25580, 107253, 104874, 30512, 39926, 5486, 114363, 103722, 72516, 16556, 72516, 102351, 19732, 38093, 87177, 54926, 9174, 102677, 89753, 33121, 38641, 9174, 114654, 16144, 22398, 70563, 38248, 255, 94550, 48634, 29295, 112185, 18259, 237, 102800, 24273, 15682, 5486, 125559, 55031, 48864, 108710, 108608, 22398, 70563, 38248, 255, 94550, 66378, 33208, 57326, 77750, 32131, 91062, 32977, 33334, 125683, 62004, 38641, 80129, 198, 80539, 5486, 28425, 112, 49988, 123470, 30537, 25963, 16144, 39850, 37823, 67075, 15682, 111476, 102750, 25197, 103906, 52884, 16144, 102404, 79785, 29295, 116414, 72661, 104655, 105784, 100909, 1811, 68408, 39850, 37823, 67075, 15682, 5486, 115364, 102404, 79785, 29295, 33035, 100204, 100604, 100909, 9174, 102404, 79785, 16144, 48864, 108710, 15682, 198, 12, 113545, 108518, 104088, 38144, 102750, 25197, 103906, 52884, 16144, 102404, 79785, 20230, 101557, 96, 104028, 100909, 9174, 12, 106156, 71634, 93488, 16556, 72516, 102351, 29295, 109095 ]
[ 110125, 54926, 102404, 79785, 30512, 104655, 47884, 100909, 9174, 16556, 56051, 101832, 9174, 110968, 104743, 127564, 5486, 110904, 102158, 13821, 111, 71289, 17161, 25333, 102181, 15682, 109203, 20230, 22324, 102532, 5486, 115303, 126843, 48915, 117158, 126929, 17129, 109954, 9174, 114654, 29295, 33035, 100204, 101860, 20230, 5486, 114218, 59739, 102334, 31431, 5486, 21555, 98, 101860, 32149, 102800, 114284, 126198, 31431, 54926, 109335, 9080, 40053, 108104, 114053, 30926, 119627, 106116, 17620, 123085, 20230, 107991, 125344, 98406, 16144, 22398, 70563, 65575, 16556, 114654, 16144, 48634, 15682, 122060, 78434, 9174, 114654, 48864, 108710, 30046, 29295, 30832, 64467, 17663, 13177, 103350, 124299, 114654, 10646, 29295, 5486, 118322, 112772, 101182, 16144, 38641, 55031, 9174, 112371, 104328, 110371, 101513, 38093, 30512, 21990, 32149, 39926, 5486, 106649, 117232, 16556, 114654, 123457, 122060, 107726, 17129, 109954, 106609, 12, 105180, 106581, 30512, 114654, 16556, 126362, 119607, 1811, 115924, 103359, 20230, 112854, 58942, 106956, 114654, 123646, 106240, 1419, 102647, 198, 12, 105357, 241, 108010, 76947, 33655, 76947, 100604, 11571, 102433, 114754, 56965, 108010, 58942, 126172, 16995, 112825, 110904, 26854, 114654, 44597, 102647, 198, 12, 116564, 114225, 108608, 6447, 114654, 30512, 102750, 25197, 103906, 52884, 108005, 121, 47884, 87177, 17663, 124122, 46702, 118821, 47260, 103223, 198, 12, 104975, 102158, 30512, 87177, 122101, 101200, 108176, 102052, 11571, 125559, 19000, 101987, 30046, 1135, 17792, 20230, 104655, 102532, 64121, 28713, 114654, 108710, 50928, 16144, 109243, 29245, 96, 198, 12, 220, 33655, 58942, 104533, 71493, 26269, 47260, 104712, 6447, 114654, 16144, 22398, 93488, 41758, 66224, 66224, 102647, 198, 12, 108477, 252, 48864, 29295, 61826, 111769, 6447, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 55031, 48864, 104369, 48915, 29504, 102158, 198, 14711, 127365, 16325, 16144, 102433, 114754, 110284, 54926, 13177, 72342, 121867, 100204, 116186, 30297, 60868, 125933, 111329, 827, 127365, 102416, 108285, 29295, 30369, 125559, 60634, 101987, 47260, 119263, 78683, 103906, 198, 102616, 16325, 16144, 102433, 17792, 42016, 101559, 29295, 103721, 233, 29295, 31431, 5486, 108134, 104908, 56051, 31431, 5486, 109933, 111999, 76428, 56051, 31431, 5486, 106483, 103129, 108608, 47260, 119263, 78683, 103906, 13177, 72342, 121867, 100204, 116186, 30297, 60868, 125933, 111329, 110284, 92693, 1811, 95221, 117355, 20230, 103721, 233, 29295, 76947, 72315, 59459, 2366, 17, 8107, 21, 9953, 39177, 28542, 5232, 110284, 30046, 6843, 15, 13372, 72404, 58942, 79721, 23954, 567, 1054, 198, 125559, 60634, 101987, 32335, 106649, 16144, 45893, 13177, 125559, 108436, 107430, 126557, 102616, 16556, 106515, 72342, 20230, 122502, 47884, 102677, 90962, 57326, 104272, 30512, 46034, 109156, 33121, 101200, 89874, 72342, 121867, 100204, 116186, 30297, 16144, 109713, 64810, 57326, 20251, 15682, 198, 13177, 198, 125559, 60634, 101987, 111363, 43568, 9039, 16144, 121507, 57942, 95, 19732, 125396, 30512, 104908, 54926, 100909, 111329, 77693, 30512, 88367, 117657, 198, 13177, 125559, 114435, 111363, 81258, 107430, 111329, 17792, 21990, 127637, 50834, 31431, 1811, 121410, 9080, 102756, 29220, 102756, 29220, 5486, 45923, 62903, 45923, 62903, 54926, 9080, 40053, 20230, 104721, 107290, 64121, 101200, 106609, 102616, 16556, 122502, 47884, 102677, 15355, 231, 125523, 102532, 115226, 24273, 15682, 80129, 128001, 128000, 104328, 30813, 21105, 114, 112586, 127950, 38093, 16144, 103984, 105085, 120650, 121118, 9174, 47260, 42634, 96452, 17297, 102677, 118733, 5486, 20834, 77413, 61337, 9039, 15682, 83747, 104435, 15024, 5486, 115143, 102052, 58426, 16325, 72661, 74245, 112772, 108167, 71289, 109013, 108695, 32977, 57903, 5486, 47260, 42634, 96452, 112772, 57106, 103854, 104533, 107188, 31431, 109713, 80805, 110548, 26854, 104371, 47523, 103351, 29295, 108048, 72661, 37507, 75267, 30046, 15682, 110924, 110924, 102532, 109466, 31431, 115442, 31431, 104088, 72342, 101732, 9174, 37271, 18904, 121142, 103470, 5486, 127950, 38093, 20230, 37507, 75267, 30046, 110366, 16556, 23039, 47884, 102083, 59739, 32977, 91763, 30297, 105272, 29295, 5486, 20834, 77413, 30046, 55031, 15120, 24273, 112535, 80805, 118804, 123167, 71289, 101335, 115882, 103906, 30512, 110968, 102131, 19732, 107001, 105908, 127181, 1811, 26854, 112371, 20834, 77413, 30046, 15682, 26854, 112371, 46034, 40265, 115926, 33671, 30537, 20230, 71174, 119707, 105784, 104865, 5486, 106046, 76947, 114732, 1811, 105564, 119188, 117896, 55031, 112990, 5486, 102717, 19732, 124592, 16144, 52884, 61398, 15682, 115364, 91482, 76428, 102750, 22398, 107118, 116690, 100604, 110115, 5486, 33671, 55031, 33671, 124259, 71174, 119707, 107441, 109749, 9174, 51330, 105933, 15120, 24273, 112535, 71174, 119707, 107441, 109749, 105933, 41007, 77181, 126120, 96455, 112535, 91774, 121423, 65854, 30512, 122635, 54926, 109335, 118765, 9174, 37507, 75267, 112919, 117591, 5486, 20834, 77413, 112919, 91774, 121423, 65854, 115717, 30297, 30369, 17792, 127282, 107188, 31431, 83747, 100604, 105879, 5486, 46034, 40265, 31431, 33671, 30537, 80805, 118804, 123167, 71289, 101335, 115882, 103906, 30512, 55487, 114598, 5486, 116690, 100604, 17792, 105459, 20230, 43568, 102147, 226, 20230, 39880, 70563, 64178, 103792, 100909, 117084, 114732, 16144, 103195, 9174, 77693, 103378, 105110, 112185, 104712, 29295, 5486, 43240, 119064, 116537, 15120, 24273, 112535, 71174, 126929, 102204, 104533, 120853, 33476, 99750, 30512, 108623, 102532, 114732, 105879, 5486, 91774, 121423, 65854, 115717, 30297, 30369, 17792, 105459, 32977, 110596, 75694, 105784, 113702, 117084, 114732, 1811, 120065, 101067, 66201, 39926, 64121, 111243, 33503, 30297, 19732, 78183, 32149, 104533, 91763, 30297, 29295, 5486, 39850, 78683, 109496, 30512, 64121, 38144, 55031, 17701, 103950, 106046, 100472, 115320, 102456, 72516, 16556, 71174, 119707, 76622, 124195, 127567, 104405, 54926, 108995, 32149, 1811, 50834, 104043, 58426, 72516, 102052, 17701, 121140, 20230, 110074, 102639, 38144, 114732, 100909, 16144, 118881, 29295, 127181, 116497, 103195, 9174, 46034, 40265, 31431, 33671, 30537, 5486, 71174, 119707, 105784, 102677, 23039, 101399, 15682, 5486, 127950, 38093, 121960, 15682, 108008, 20230, 66776, 126120, 96455, 109904, 23039, 101399, 26854, 105272, 29295, 5486, 127950, 38093, 38093, 75267, 77181, 110924, 32149, 21105, 241, 16556, 72718, 50834, 100934, 9174, 26854, 112371, 20834, 77413, 30046, 15682, 37507, 75267, 30046, 20230, 46034, 40265, 31431, 33671, 30537, 71174, 119707, 107441, 114732, 120900, 32149, 109807, 114667, 15682, 119448, 47884, 17, 59739, 19732, 101182, 19732, 78698, 105262, 9174, 16, 59739, 15682, 5486, 105755, 43240, 119064, 37507, 75267, 30046, 20230, 30177, 109835, 126693, 91774, 121423, 65854, 29295, 115079, 58942, 104533, 91763, 103836, 55031, 9174, 80673, 115847, 15682, 17905, 43032, 56051, 19732, 108086, 5486, 126845, 112854, 126529, 103195, 9174, 71174, 29295, 76622, 54926, 17620, 103760, 30512, 115079, 71289, 72342, 81219, 5486, 91774, 121423, 65854, 20230, 30591, 28713, 30369, 17620, 45829, 29295, 115079, 58942, 104533, 91763, 103836, 105272, 29295, 5486, 37507, 75267, 30046, 20230, 117591, 91774, 121423, 65854, 115717, 30297, 30369, 17792, 127282, 107188, 31431, 83747, 100604, 105879, 5486, 46034, 40265, 115926, 33671, 30537, 71174, 119707, 107441, 108031, 17129, 47884, 16995, 47884, 125396, 29295, 107188, 31431, 103167, 16995, 9174, 108031, 16, 59739, 15682, 16144, 114667, 15682, 5486, 91875, 119188, 118733, 117876, 30512, 103792, 99750, 112854, 108176, 55031, 9174, 90620, 80195, 103836, 103378, 77181, 117876, 30512, 109768, 100604, 19732, 106116, 22656, 17792, 32977, 17129, 78183, 111331, 114516, 32977, 91763, 76947, 114732, 105879, 114318, 31431, 30591, 58942, 101860, 127091, 119607, 106046, 76947, 114732, 16144, 103195, 9174, 85701, 15682, 33334, 27929, 124749, 114516, 16144, 22656, 34171, 16556, 5486, 122502, 32149, 75694, 30369, 102944, 102456, 30297, 103854, 55031, 101860, 111769, 29295, 5486, 122502, 16995, 126386, 19732, 44971, 26269, 113834, 30512, 127574, 110071, 106592, 111098, 76622, 101200, 54926, 22656, 27327, 29295, 122502, 47884, 102944, 106046, 126832, 9174, 114516, 16144, 22656, 34171, 118816, 112990, 5486, 124572, 20230, 80805, 118804, 123167, 30512, 90620, 110968, 17663, 103378, 77181, 115552, 119703, 19732, 95221, 109669, 102334, 103306, 32977, 121906, 95604, 123120, 30512, 111098, 105784, 109335, 111108, 102800, 9174, 77181, 104405, 126693, 104712, 32149, 9174, 126845, 112854, 19732, 114516, 16144, 22656, 34171, 29295, 113385, 103195, 105879, 5486, 57980, 108680, 17599, 117, 104792, 21105, 103, 16995, 19732, 74245, 110104, 9174, 90620, 80805, 118804, 123167, 30512, 55487, 30369, 103378, 111769, 115552, 119703, 106592, 113954, 107726, 5486, 71174, 29295, 76622, 16144, 107507, 101198, 94550, 30512, 62903, 108981, 37823, 115541, 108710, 39926, 127950, 38093, 20230, 122678, 17129, 100604, 102083, 124324, 9174, 52884, 61398, 16144, 68408, 126590, 102052, 107188, 31431, 123457, 17701, 106824, 33334, 35330, 32977, 126929, 100934, 110115, 110371, 71174, 29295, 76622, 16144, 106548, 24273, 30512, 49792, 101908, 109768, 100604, 108695, 29295, 43240, 47884, 111243, 100472, 16995, 100604, 26854, 106046, 100472, 33671, 30537, 103195, 9174, 102677, 118733, 5486, 127950, 38093, 16556, 104004, 28713, 64121, 71289, 127567, 71174, 29295, 76622, 123410, 104468, 114516, 16144, 22656, 34171, 55031, 103195, 5486, 102677, 87177, 16556, 56051, 1811, 128001, 128000, 118482, 85188, 107118, 5486, 118482, 58426, 102944, 20230, 111681, 107001, 85188, 35330, 16556, 5486, 118482, 112415, 117824, 30297, 20230, 40265, 28713, 76947, 72368, 45893, 102697, 72099, 16144, 107338, 125175, 114475, 105784, 100909, 55031, 109215, 26854, 106613, 106382, 30512, 17620, 106529, 17663, 125231, 103195, 102677, 113727, 24273, 20230, 75146, 109669, 50834, 111681, 85188, 107001, 102944, 38641, 9174, 104971, 103359, 47523, 83354, 198, 9458, 122491, 5232, 35417, 105576, 61337, 108638, 122491, 123160, 66776, 110226, 105576, 118482, 104309, 15120, 34048, 16144, 27452, 48915, 30512, 21418, 102532, 37087, 38144, 16144, 25333, 114754, 111681, 85188, 84389, 33541, 9174, 9458, 121568, 5232, 25333, 23187, 66224, 27113, 101275, 104091, 20230, 109638, 40265, 126693, 111681, 85188, 84389, 33541, 9174, 104971, 85188, 96455, 83354, 198, 9458, 122491, 5232, 32938, 50928, 20230, 106608, 100204, 38144, 5486, 34617, 59983, 44597, 113127, 5486, 44597, 59983, 34617, 113127, 5486, 66224, 113127, 10110, 72368, 45893, 102697, 72099, 113468, 17905, 110498, 72342, 57903, 23954, 9458, 121568, 5232, 101275, 104091, 20230, 106608, 100204, 38144, 5486, 34617, 3922, 46702, 3922, 44597, 113127, 198, 104971, 122282, 41007, 83354, 198, 9458, 122491, 5232, 53229, 108630, 9554, 102052, 122491, 85188, 16144, 111681, 85188, 32938, 50928, 19732, 112361, 198, 9458, 121568, 5232, 10110, 32938, 50928, 85188, 16144, 118482, 32938, 50928, 121409, 103271, 39135, 102782, 58655, 115612, 103851, 21418, 109518, 90581, 125173, 21388, 16144, 103721, 108, 104087, 103851, 21418, 50667, 90581, 8107, 25963, 68093, 27113, 110743, 7705, 18028, 85188, 96455, 198, 103271, 39135, 102782, 58655, 115612, 103851, 21418, 109518, 15682, 32938, 50928, 85188, 16144, 106045, 23187, 127303, 76947, 118482, 85188, 77181, 103851, 21418, 118765, 105879, 102780, 15024, 114941, 78434, 9174, 103851, 21418, 109518, 25963, 68093, 27113, 110743, 15682, 8107, 109518, 26854, 105879, 17039, 28713, 20230, 118482, 30512, 27704, 109013, 8107, 71289, 25766, 225, 101275, 56051, 8107, 15682, 9953, 111017, 31431, 78434, 9174, 104971, 108446, 47000, 39177, 23538, 83354, 198, 9458, 122491, 5232, 122491, 85188, 19732, 112361, 10110, 53229, 108630, 104662, 70203, 9953, 55031, 25963, 32149, 9953, 74482, 23954, 9458, 121568, 5232, 53229, 108630, 103306, 102048, 234, 8107, 66115, 9953, 106968, 19732, 20713, 20713, 9953, 106968, 198, 104971, 102159, 107707, 25333, 23187, 66224, 27113, 101275, 104091, 83354, 198, 118075, 51431, 20713, 104091, 118482, 10110, 34617, 66224, 101275, 104091, 123407, 44597, 113127, 198, 119560, 51431, 25963, 104091, 118482, 10110, 34617, 101275, 104091, 7705, 31472, 46702, 113127, 198, 40198, 250, 106518, 101275, 5486, 53610, 106518, 101275, 5486, 103013, 103, 163, 65620, 105107, 67178, 101275, 198, 126892, 51431, 34617, 104091, 118482, 10110, 34617, 27113, 101275, 104091, 123407, 44597, 113127, 5486, 30591, 25827, 110581, 23897, 104989, 16144, 25963, 101275, 104091, 15682, 34617, 113127, 198, 103242, 101275, 5486, 127480, 70626, 103242, 101275, 5486, 117434, 21403, 97, 104599, 101275, 5486, 103198, 96, 103242, 101275, 5486, 13870, 223, 106528, 101559, 101275, 5486, 65743, 25333, 102181, 101559, 101275, 5486, 127709, 102181, 101559, 101275, 5486, 35417, 110322, 17792, 101275, 5486, 13870, 223, 22649, 101559, 101275, 5486, 85188, 22649, 101559, 101275, 5486, 35417, 104736, 38093, 82420, 101559, 101275, 5486, 82420, 22649, 101559, 101275, 5486, 106222, 33563, 117126, 8239, 112, 102781, 101559, 101275, 5486, 109713, 60868, 33710, 47307, 52414, 101275, 5486, 113404, 123113, 30046, 101275, 5486, 16937, 91875, 106518, 124140, 23187, 101275, 5486, 68408, 126590, 101275, 5486, 120328, 117813, 104599, 13773, 254, 101275, 5486, 22649, 37729, 101275, 5486, 58666, 37729, 101275, 5486, 107167, 118928, 94550, 101275, 5486, 35417, 123378, 118959, 75267, 101275, 7, 103842, 255, 124527, 8, 50667, 5486, 127480, 70626, 108581, 21990, 101559, 101275, 5486, 127480, 107015, 49792, 101559, 101275, 5486, 108867, 33857, 101559, 101275, 5486, 117018, 46729, 102571, 104873, 112984, 101559, 101275, 5486, 56235, 70349, 113551, 101559, 101275, 5486, 104371, 114601, 105107, 41401, 101275, 198, 30591, 25827, 110581, 50667, 10110, 30591, 25827, 110581, 120456, 26269, 60868, 78767, 9458, 64467, 121819, 9458, 15682, 31431, 9458, 50834, 116186, 30297, 9458, 115289, 45893, 64531, 109095, 9458, 114950, 16144, 103242, 101275, 20230, 104770, 54926, 118482, 65459, 99741, 164, 47382, 104599, 101275, 198, 53229, 108630, 9554, 102052, 44597, 113127, 16556, 15120, 34048, 27452, 48915, 103306, 34617, 113127, 19732, 46702, 113127, 115991, 33541, 9174, 126738, 103242, 104599, 50667, 16144, 106222, 33563, 117126, 120761, 109519, 78943, 100845, 105, 113115, 106608, 54926, 32938, 50928, 15682, 66776, 111681, 85188, 38641, 9174, 49412, 96, 220, 66224, 27113, 101275, 104091, 20230, 96412, 17129, 110615, 102944, 198, 9458, 102138, 101275, 5486, 107049, 109, 53953, 16144, 118935, 19012, 246, 118482, 5486, 114407, 101275, 5486, 113598, 106007, 224, 101275, 5486, 67178, 102138, 101275, 63415, 19967, 46729, 5486, 55723, 46729, 5486, 123488, 46729, 5486, 117813, 103991, 46729, 5486, 124011, 109089, 115350, 63415, 102803, 102514, 5486, 33035, 117735, 5486, 123141, 76739, 123581, 114676, 5486, 57326, 77750, 32131 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 110125, 54926, 102404, 79785, 30512, 104655, 47884, 100909, 9174, 16556, 56051, 101832, 9174, 110968, 104743, 127564, 5486, 110904, 102158, 13821, 111, 71289, 17161, 25333, 102181, 15682, 109203, 20230, 22324, 102532, 5486, 115303, 126843, 48915, 117158, 126929, 17129, 109954, 9174, 114654, 29295, 33035, 100204, 101860, 20230, 5486, 114218, 59739, 102334, 31431, 5486, 21555, 98, 101860, 32149, 102800, 114284, 126198, 31431, 54926, 109335, 9080, 40053, 108104, 114053, 30926, 119627, 106116, 17620, 123085, 20230, 107991, 125344, 98406, 16144, 22398, 70563, 65575, 16556, 114654, 16144, 48634, 15682, 122060, 78434, 9174, 114654, 48864, 108710, 30046, 29295, 30832, 64467, 17663, 13177, 103350, 124299, 114654, 10646, 29295, 5486, 118322, 112772, 101182, 16144, 38641, 55031, 9174, 112371, 104328, 110371, 101513, 38093, 30512, 21990, 32149, 39926, 5486, 106649, 117232, 16556, 114654, 123457, 122060, 107726, 17129, 109954, 106609, 12, 105180, 106581, 30512, 114654, 16556, 126362, 119607, 1811, 115924, 103359, 20230, 112854, 58942, 106956, 114654, 123646, 106240, 1419, 102647, 198, 12, 105357, 241, 108010, 76947, 33655, 76947, 100604, 11571, 102433, 114754, 56965, 108010, 58942, 126172, 16995, 112825, 110904, 26854, 114654, 44597, 102647, 198, 12, 116564, 114225, 108608, 6447, 114654, 30512, 102750, 25197, 103906, 52884, 108005, 121, 47884, 87177, 17663, 124122, 46702, 118821, 47260, 103223, 198, 12, 104975, 102158, 30512, 87177, 122101, 101200, 108176, 102052, 11571, 125559, 19000, 101987, 30046, 1135, 17792, 20230, 104655, 102532, 64121, 28713, 114654, 108710, 50928, 16144, 109243, 29245, 96, 198, 12, 220, 33655, 58942, 104533, 71493, 26269, 47260, 104712, 6447, 114654, 16144, 22398, 93488, 41758, 66224, 66224, 102647, 198, 12, 108477, 252, 48864, 29295, 61826, 111769, 6447, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 55031, 48864, 104369, 48915, 29504, 102158, 198, 14711, 127365, 16325, 16144, 102433, 114754, 110284, 54926, 13177, 72342, 121867, 100204, 116186, 30297, 60868, 125933, 111329, 827, 127365, 102416, 108285, 29295, 30369, 125559, 60634, 101987, 47260, 119263, 78683, 103906, 198, 102616, 16325, 16144, 102433, 17792, 42016, 101559, 29295, 103721, 233, 29295, 31431, 5486, 108134, 104908, 56051, 31431, 5486, 109933, 111999, 76428, 56051, 31431, 5486, 106483, 103129, 108608, 47260, 119263, 78683, 103906, 13177, 72342, 121867, 100204, 116186, 30297, 60868, 125933, 111329, 110284, 92693, 1811, 95221, 117355, 20230, 103721, 233, 29295, 76947, 72315, 59459, 2366, 17, 8107, 21, 9953, 39177, 28542, 5232, 110284, 30046, 6843, 15, 13372, 72404, 58942, 79721, 23954, 567, 1054, 198, 125559, 60634, 101987, 32335, 106649, 16144, 45893, 13177, 125559, 108436, 107430, 126557, 102616, 16556, 106515, 72342, 20230, 122502, 47884, 102677, 90962, 57326, 104272, 30512, 46034, 109156, 33121, 101200, 89874, 72342, 121867, 100204, 116186, 30297, 16144, 109713, 64810, 57326, 20251, 15682, 198, 13177, 198, 125559, 60634, 101987, 111363, 43568, 9039, 16144, 121507, 57942, 95, 19732, 125396, 30512, 104908, 54926, 100909, 111329, 77693, 30512, 88367, 117657, 198, 13177, 125559, 114435, 111363, 81258, 107430, 111329, 17792, 21990, 127637, 50834, 31431, 1811, 121410, 9080, 102756, 29220, 102756, 29220, 5486, 45923, 62903, 45923, 62903, 54926, 9080, 40053, 20230, 104721, 107290, 64121, 101200, 106609, 102616, 16556, 122502, 47884, 102677, 15355, 231, 125523, 102532, 115226, 24273, 15682, 80129, 128001, 128000, 104328, 30813, 21105, 114, 112586, 127950, 38093, 16144, 103984, 105085, 120650, 121118, 9174, 47260, 42634, 96452, 17297, 102677, 118733, 5486, 20834, 77413, 61337, 9039, 15682, 83747, 104435, 15024, 5486, 115143, 102052, 58426, 16325, 72661, 74245, 112772, 108167, 71289, 109013, 108695, 32977, 57903, 5486, 47260, 42634, 96452, 112772, 57106, 103854, 104533, 107188, 31431, 109713, 80805, 110548, 26854, 104371, 47523, 103351, 29295, 108048, 72661, 37507, 75267, 30046, 15682, 110924, 110924, 102532, 109466, 31431, 115442, 31431, 104088, 72342, 101732, 9174, 37271, 18904, 121142, 103470, 5486, 127950, 38093, 20230, 37507, 75267, 30046, 110366, 16556, 23039, 47884, 102083, 59739, 32977, 91763, 30297, 105272, 29295, 5486, 20834, 77413, 30046, 55031, 15120, 24273, 112535, 80805, 118804, 123167, 71289, 101335, 115882, 103906, 30512, 110968, 102131, 19732, 107001, 105908, 127181, 1811, 26854, 112371, 20834, 77413, 30046, 15682, 26854, 112371, 46034, 40265, 115926, 33671, 30537, 20230, 71174, 119707, 105784, 104865, 5486, 106046, 76947, 114732, 1811, 105564, 119188, 117896, 55031, 112990, 5486, 102717, 19732, 124592, 16144, 52884, 61398, 15682, 115364, 91482, 76428, 102750, 22398, 107118, 116690, 100604, 110115, 5486, 33671, 55031, 33671, 124259, 71174, 119707, 107441, 109749, 9174, 51330, 105933, 15120, 24273, 112535, 71174, 119707, 107441, 109749, 105933, 41007, 77181, 126120, 96455, 112535, 91774, 121423, 65854, 30512, 122635, 54926, 109335, 118765, 9174, 37507, 75267, 112919, 117591, 5486, 20834, 77413, 112919, 91774, 121423, 65854, 115717, 30297, 30369, 17792, 127282, 107188, 31431, 83747, 100604, 105879, 5486, 46034, 40265, 31431, 33671, 30537, 80805, 118804, 123167, 71289, 101335, 115882, 103906, 30512, 55487, 114598, 5486, 116690, 100604, 17792, 105459, 20230, 43568, 102147, 226, 20230, 39880, 70563, 64178, 103792, 100909, 117084, 114732, 16144, 103195, 9174, 77693, 103378, 105110, 112185, 104712, 29295, 5486, 43240, 119064, 116537, 15120, 24273, 112535, 71174, 126929, 102204, 104533, 120853, 33476, 99750, 30512, 108623, 102532, 114732, 105879, 5486, 91774, 121423, 65854, 115717, 30297, 30369, 17792, 105459, 32977, 110596, 75694, 105784, 113702, 117084, 114732, 1811, 120065, 101067, 66201, 39926, 64121, 111243, 33503, 30297, 19732, 78183, 32149, 104533, 91763, 30297, 29295, 5486, 39850, 78683, 109496, 30512, 64121, 38144, 55031, 17701, 103950, 106046, 100472, 115320, 102456, 72516, 16556, 71174, 119707, 76622, 124195, 127567, 104405, 54926, 108995, 32149, 1811, 50834, 104043, 58426, 72516, 102052, 17701, 121140, 20230, 110074, 102639, 38144, 114732, 100909, 16144, 118881, 29295, 127181, 116497, 103195, 9174, 46034, 40265, 31431, 33671, 30537, 5486, 71174, 119707, 105784, 102677, 23039, 101399, 15682, 5486, 127950, 38093, 121960, 15682, 108008, 20230, 66776, 126120, 96455, 109904, 23039, 101399, 26854, 105272, 29295, 5486, 127950, 38093, 38093, 75267, 77181, 110924, 32149, 21105, 241, 16556, 72718, 50834, 100934, 9174, 26854, 112371, 20834, 77413, 30046, 15682, 37507, 75267, 30046, 20230, 46034, 40265, 31431, 33671, 30537, 71174, 119707, 107441, 114732, 120900, 32149, 109807, 114667, 15682, 119448, 47884, 17, 59739, 19732, 101182, 19732, 78698, 105262, 9174, 16, 59739, 15682, 5486, 105755, 43240, 119064, 37507, 75267, 30046, 20230, 30177, 109835, 126693, 91774, 121423, 65854, 29295, 115079, 58942, 104533, 91763, 103836, 55031, 9174, 80673, 115847, 15682, 17905, 43032, 56051, 19732, 108086, 5486, 126845, 112854, 126529, 103195, 9174, 71174, 29295, 76622, 54926, 17620, 103760, 30512, 115079, 71289, 72342, 81219, 5486, 91774, 121423, 65854, 20230, 30591, 28713, 30369, 17620, 45829, 29295, 115079, 58942, 104533, 91763, 103836, 105272, 29295, 5486, 37507, 75267, 30046, 20230, 117591, 91774, 121423, 65854, 115717, 30297, 30369, 17792, 127282, 107188, 31431, 83747, 100604, 105879, 5486, 46034, 40265, 115926, 33671, 30537, 71174, 119707, 107441, 108031, 17129, 47884, 16995, 47884, 125396, 29295, 107188, 31431, 103167, 16995, 9174, 108031, 16, 59739, 15682, 16144, 114667, 15682, 5486, 91875, 119188, 118733, 117876, 30512, 103792, 99750, 112854, 108176, 55031, 9174, 90620, 80195, 103836, 103378, 77181, 117876, 30512, 109768, 100604, 19732, 106116, 22656, 17792, 32977, 17129, 78183, 111331, 114516, 32977, 91763, 76947, 114732, 105879, 114318, 31431, 30591, 58942, 101860, 127091, 119607, 106046, 76947, 114732, 16144, 103195, 9174, 85701, 15682, 33334, 27929, 124749, 114516, 16144, 22656, 34171, 16556, 5486, 122502, 32149, 75694, 30369, 102944, 102456, 30297, 103854, 55031, 101860, 111769, 29295, 5486, 122502, 16995, 126386, 19732, 44971, 26269, 113834, 30512, 127574, 110071, 106592, 111098, 76622, 101200, 54926, 22656, 27327, 29295, 122502, 47884, 102944, 106046, 126832, 9174, 114516, 16144, 22656, 34171, 118816, 112990, 5486, 124572, 20230, 80805, 118804, 123167, 30512, 90620, 110968, 17663, 103378, 77181, 115552, 119703, 19732, 95221, 109669, 102334, 103306, 32977, 121906, 95604, 123120, 30512, 111098, 105784, 109335, 111108, 102800, 9174, 77181, 104405, 126693, 104712, 32149, 9174, 126845, 112854, 19732, 114516, 16144, 22656, 34171, 29295, 113385, 103195, 105879, 5486, 57980, 108680, 17599, 117, 104792, 21105, 103, 16995, 19732, 74245, 110104, 9174, 90620, 80805, 118804, 123167, 30512, 55487, 30369, 103378, 111769, 115552, 119703, 106592, 113954, 107726, 5486, 71174, 29295, 76622, 16144, 107507, 101198, 94550, 30512, 62903, 108981, 37823, 115541, 108710, 39926, 127950, 38093, 20230, 122678, 17129, 100604, 102083, 124324, 9174, 52884, 61398, 16144, 68408, 126590, 102052, 107188, 31431, 123457, 17701, 106824, 33334, 35330, 32977, 126929, 100934, 110115, 110371, 71174, 29295, 76622, 16144, 106548, 24273, 30512, 49792, 101908, 109768, 100604, 108695, 29295, 43240, 47884, 111243, 100472, 16995, 100604, 26854, 106046, 100472, 33671, 30537, 103195, 9174, 102677, 118733, 5486, 127950, 38093, 16556, 104004, 28713, 64121, 71289, 127567, 71174, 29295, 76622, 123410, 104468, 114516, 16144, 22656, 34171, 55031, 103195, 5486, 102677, 87177, 16556, 56051, 1811, 128001, 128000, 118482, 85188, 107118, 5486, 118482, 58426, 102944, 20230, 111681, 107001, 85188, 35330, 16556, 5486, 118482, 112415, 117824, 30297, 20230, 40265, 28713, 76947, 72368, 45893, 102697, 72099, 16144, 107338, 125175, 114475, 105784, 100909, 55031, 109215, 26854, 106613, 106382, 30512, 17620, 106529, 17663, 125231, 103195, 102677, 113727, 24273, 20230, 75146, 109669, 50834, 111681, 85188, 107001, 102944, 38641, 9174, 104971, 103359, 47523, 83354, 198, 9458, 122491, 5232, 35417, 105576, 61337, 108638, 122491, 123160, 66776, 110226, 105576, 118482, 104309, 15120, 34048, 16144, 27452, 48915, 30512, 21418, 102532, 37087, 38144, 16144, 25333, 114754, 111681, 85188, 84389, 33541, 9174, 9458, 121568, 5232, 25333, 23187, 66224, 27113, 101275, 104091, 20230, 109638, 40265, 126693, 111681, 85188, 84389, 33541, 9174, 104971, 85188, 96455, 83354, 198, 9458, 122491, 5232, 32938, 50928, 20230, 106608, 100204, 38144, 5486, 34617, 59983, 44597, 113127, 5486, 44597, 59983, 34617, 113127, 5486, 66224, 113127, 10110, 72368, 45893, 102697, 72099, 113468, 17905, 110498, 72342, 57903, 23954, 9458, 121568, 5232, 101275, 104091, 20230, 106608, 100204, 38144, 5486, 34617, 3922, 46702, 3922, 44597, 113127, 198, 104971, 122282, 41007, 83354, 198, 9458, 122491, 5232, 53229, 108630, 9554, 102052, 122491, 85188, 16144, 111681, 85188, 32938, 50928, 19732, 112361, 198, 9458, 121568, 5232, 10110, 32938, 50928, 85188, 16144, 118482, 32938, 50928, 121409, 103271, 39135, 102782, 58655, 115612, 103851, 21418, 109518, 90581, 125173, 21388, 16144, 103721, 108, 104087, 103851, 21418, 50667, 90581, 8107, 25963, 68093, 27113, 110743, 7705, 18028, 85188, 96455, 198, 103271, 39135, 102782, 58655, 115612, 103851, 21418, 109518, 15682, 32938, 50928, 85188, 16144, 106045, 23187, 127303, 76947, 118482, 85188, 77181, 103851, 21418, 118765, 105879, 102780, 15024, 114941, 78434, 9174, 103851, 21418, 109518, 25963, 68093, 27113, 110743, 15682, 8107, 109518, 26854, 105879, 17039, 28713, 20230, 118482, 30512, 27704, 109013, 8107, 71289, 25766, 225, 101275, 56051, 8107, 15682, 9953, 111017, 31431, 78434, 9174, 104971, 108446, 47000, 39177, 23538, 83354, 198, 9458, 122491, 5232, 122491, 85188, 19732, 112361, 10110, 53229, 108630, 104662, 70203, 9953, 55031, 25963, 32149, 9953, 74482, 23954, 9458, 121568, 5232, 53229, 108630, 103306, 102048, 234, 8107, 66115, 9953, 106968, 19732, 20713, 20713, 9953, 106968, 198, 104971, 102159, 107707, 25333, 23187, 66224, 27113, 101275, 104091, 83354, 198, 118075, 51431, 20713, 104091, 118482, 10110, 34617, 66224, 101275, 104091, 123407, 44597, 113127, 198, 119560, 51431, 25963, 104091, 118482, 10110, 34617, 101275, 104091, 7705, 31472, 46702, 113127, 198, 40198, 250, 106518, 101275, 5486, 53610, 106518, 101275, 5486, 103013, 103, 163, 65620, 105107, 67178, 101275, 198, 126892, 51431, 34617, 104091, 118482, 10110, 34617, 27113, 101275, 104091, 123407, 44597, 113127, 5486, 30591, 25827, 110581, 23897, 104989, 16144, 25963, 101275, 104091, 15682, 34617, 113127, 198, 103242, 101275, 5486, 127480, 70626, 103242, 101275, 5486, 117434, 21403, 97, 104599, 101275, 5486, 103198, 96, 103242, 101275, 5486, 13870, 223, 106528, 101559, 101275, 5486, 65743, 25333, 102181, 101559, 101275, 5486, 127709, 102181, 101559, 101275, 5486, 35417, 110322, 17792, 101275, 5486, 13870, 223, 22649, 101559, 101275, 5486, 85188, 22649, 101559, 101275, 5486, 35417, 104736, 38093, 82420, 101559, 101275, 5486, 82420, 22649, 101559, 101275, 5486, 106222, 33563, 117126, 8239, 112, 102781, 101559, 101275, 5486, 109713, 60868, 33710, 47307, 52414, 101275, 5486, 113404, 123113, 30046, 101275, 5486, 16937, 91875, 106518, 124140, 23187, 101275, 5486, 68408, 126590, 101275, 5486, 120328, 117813, 104599, 13773, 254, 101275, 5486, 22649, 37729, 101275, 5486, 58666, 37729, 101275, 5486, 107167, 118928, 94550, 101275, 5486, 35417, 123378, 118959, 75267, 101275, 7, 103842, 255, 124527, 8, 50667, 5486, 127480, 70626, 108581, 21990, 101559, 101275, 5486, 127480, 107015, 49792, 101559, 101275, 5486, 108867, 33857, 101559, 101275, 5486, 117018, 46729, 102571, 104873, 112984, 101559, 101275, 5486, 56235, 70349, 113551, 101559, 101275, 5486, 104371, 114601, 105107, 41401, 101275, 198, 30591, 25827, 110581, 50667, 10110, 30591, 25827, 110581, 120456, 26269, 60868, 78767, 9458, 64467, 121819, 9458, 15682, 31431, 9458, 50834, 116186, 30297, 9458, 115289, 45893, 64531, 109095, 9458, 114950, 16144, 103242, 101275, 20230, 104770, 54926, 118482, 65459, 99741, 164, 47382, 104599, 101275, 198, 53229, 108630, 9554, 102052, 44597, 113127, 16556, 15120, 34048, 27452, 48915, 103306, 34617, 113127, 19732, 46702, 113127, 115991, 33541, 9174, 126738, 103242, 104599, 50667, 16144, 106222, 33563, 117126, 120761, 109519, 78943, 100845, 105, 113115, 106608, 54926, 32938, 50928, 15682, 66776, 111681, 85188, 38641, 9174, 49412, 96, 220, 66224, 27113, 101275, 104091, 20230, 96412, 17129, 110615, 102944, 198, 9458, 102138, 101275, 5486, 107049, 109, 53953, 16144, 118935, 19012, 246, 118482, 5486, 114407, 101275, 5486, 113598, 106007, 224, 101275, 5486, 67178, 102138, 101275, 63415, 19967, 46729, 5486, 55723, 46729, 5486, 123488, 46729, 5486, 117813, 103991, 46729, 5486, 124011, 109089, 115350, 63415, 102803, 102514, 5486, 33035, 117735, 5486, 123141, 76739, 123581, 114676, 5486, 57326, 77750, 32131 ]
[ 68759, 11972, 5486, 33563, 117126, 48915, 39209, 102351, 63415, 108152, 113335, 72369, 112164, 11972, 5486, 104603, 41758, 102756, 38248, 104, 11972, 10110, 118823, 16556, 110904, 102404, 16144, 117876, 30512, 109311, 76622, 109972, 16995, 7705, 50667, 198, 90620, 15024, 109311, 109972, 101275, 20230, 109638, 40265, 56051, 107803, 71289, 25333, 23187, 66224, 27113, 101275, 104091, 20230, 53900, 29295, 30369, 126513, 111681, 85188, 107001, 105908, 57903, 33541, 9174, 118899, 77181, 108152, 113335, 72369, 112164, 11972, 104309, 118823, 97518, 89046, 101275, 104091, 109853, 32977, 25333, 23187, 101275, 104091, 20230, 96412, 109315, 125231, 111769, 32149, 102677, 104760, 105242, 32977, 57903, 33541, 9174, 72368, 45893, 102697, 72099, 29295, 111681, 85188, 36668, 33014, 26854, 105879, 116414, 103296, 96412, 109315, 32149, 102677, 28542, 109853, 15682, 18655, 121247, 119178, 104364, 115991, 33541, 9174, 50034, 115590, 26854, 101275, 104091, 16144, 126513, 114140, 54926, 104466, 103801, 109954, 1811, 128001, 128000, 21909, 51330, 71493, 104603, 9468, 242, 241, 30512, 46034, 109156, 106824, 64121, 101200, 21909, 198, 64121, 26854, 98369, 90115, 0, 115799, 103, 106112, 38641, 51447, 33014, 104873, 16937, 103424, 107118, 103429, 95221, 9458, 102663, 102472, 126328, 100204, 109709, 198, 76171, 52591, 33710, 76739, 16073, 103988, 71289, 108768, 33710, 114676, 50667, 104680, 198, 30591, 33503, 106644, 30369, 16937, 102395, 26854, 111571, 103397, 16144, 106592, 95604, 9174, 108936, 9554, 102052, 58426, 16937, 102395, 26854, 111571, 103397, 30512, 30926, 104398, 111201, 17620, 104770, 39926, 113385, 30512, 106767, 31431, 198, 28873, 38144, 21105, 103, 16995, 68408, 76428, 122258, 9554, 125456, 16556, 106116, 111108, 104482, 16144, 103899, 58942, 30512, 20834, 102131, 103306, 107991, 9174, 125743, 51330, 103721, 108, 31431, 104196, 21105, 254, 19732, 113116, 109904, 109972, 106529, 29295, 22398, 103621, 29220, 100604, 121867, 5380, 51330, 109972, 16144, 30590, 103198, 226, 33710, 107610, 109156, 76947, 114732, 19732, 198, 108968, 79982, 20230, 123726, 109669, 124749, 112391, 38144, 114732, 100909, 108995, 9174, 85701, 30512, 13177, 109954, 119703, 66383, 119852, 101682, 76622, 17701, 115032, 116537, 58426, 110674, 72661, 104712, 107493, 198, 103283, 16144, 64936, 27479, 55031, 115364, 16937, 104873, 104088, 74245, 39926, 198, 103283, 16144, 64936, 27479, 55031, 39880, 107420, 113335, 109768, 47884, 100909, 112212, 198, 37271, 103296, 107118, 37087, 47884, 108010, 100472, 113702, 20230, 102971, 102802, 59739, 16995, 100481, 47884, 115789, 114652, 101182, 102189, 9174, 104405, 39926, 33014, 104873, 29295, 103553, 102, 106824, 114604, 104865, 111476, 102677, 99397, 16995, 113115, 39926, 16144, 118158, 103899, 58942, 29295, 56965, 108010, 106358, 33503, 198, 58426, 61826, 16144, 103359, 117120, 25333, 32977, 108010, 76947, 109749, 104468, 40265, 115926, 25580, 120572, 101832, 9174, 27384, 30926, 26854, 104468, 106116, 103899, 58942, 29295, 116414, 103296, 37656, 50338, 20230, 60358, 118544, 36785, 119150, 9174, 27452, 116285, 104346, 123296, 30512, 104328, 102532, 114604, 103306, 198, 58426, 113385, 15682, 113461, 103950, 5380, 9458, 127814, 33121, 5380, 9458, 113136, 120379, 127242, 5380, 9458, 106142, 58942, 5380, 9458, 37795, 96, 20230, 103605, 100472, 107707, 47884, 116826, 64121, 5380, 30591, 109709, 20230, 125456, 29295, 74245, 60358, 120195, 104533, 114387, 113385, 67016, 114284, 40265, 28713, 110104, 102944, 36785, 9174, 110229, 29295, 125821, 125456, 16144, 111044, 114792, 28713, 72342, 100481, 76622, 81219, 198, 17905, 61304, 120950, 113385, 106046, 126832, 120266, 106956, 39926, 198, 99959, 126989, 30512, 109972, 76947, 114732, 33014, 101983, 103836, 104468, 198, 127177, 105908, 113385, 101983, 103836, 100909, 105352, 95221, 109669, 47884, 32149, 121061, 9174, 122582, 13177, 37689, 109375, 111329, 51330, 108761, 103438, 30512, 30297, 17129, 47884, 33655, 30297, 100909, 113468, 198, 112832, 20230, 72661, 101198, 119539, 33710, 15682, 125119, 122101, 105272, 9174, 85701, 15682, 120065, 108010, 30297, 29295, 31195, 198, 37689, 109375, 102677, 5486, 17663, 48154, 47884, 30591, 16995, 17129, 117201, 5486, 16937, 105184, 23187, 109904, 100909, 109860, 127105, 198, 110924, 20230, 96412, 17129, 104028, 39442, 53283, 16144, 125396, 20230, 102756, 29220, 102756, 29220, 21105, 103, 16995, 108995, 32149, 5380, 37689, 109375, 16144, 33655, 16995, 24273, 16144, 120065, 56051, 47260, 103223, 30813, 58942, 17620, 32149, 104984, 198, 16937, 102395, 26854, 111571, 103397, 117758, 110645, 20834, 120264, 15682, 112825, 110904, 20230, 106084, 38144, 114732, 102944, 113461, 9174, 77693, 103378, 51330, 108761, 103438, 102052, 125062, 103646, 198, 112185, 30591, 109709, 53283, 102204, 126386, 80805, 124049, 29295, 105843, 112624, 103792, 9174, 85701, 30512, 66776, 108396, 110162, 90962, 71493, 108958, 119150, 116537, 83747, 26854, 55031, 101860, 107991, 107493, 198, 122582, 89151, 103350, 30512, 53283, 110104, 55031, 16556, 198, 118899, 16144, 33857, 45829, 118656, 48864, 77181, 51330, 17620, 102212, 16144, 102473, 32977, 107188, 31431, 103130, 64121, 198, 107707, 37689, 109375, 15682, 30591, 33503, 106644, 30369, 102944, 20230, 117375, 9458, 95543, 106482, 110731, 198, 102677, 109335, 17620, 126469, 50834, 100934, 9174, 104405, 95604, 113334, 32149, 101083, 107809, 102677, 102944, 15682, 198, 126920, 17792, 104770, 125030, 76947, 107734, 20230, 80195, 59739, 108134, 102677, 102944, 15682, 198, 125062, 107001, 101427, 122, 70141, 107407, 105879, 198, 77693, 30512, 32018, 62004, 100481, 47884, 102052, 16995, 85791, 103171, 102040, 65575, 33710, 107407, 105272, 9174, 26854, 105879, 5486, 17792, 102677, 48706, 16144, 102831, 104792, 117083, 37689, 109375, 16144, 76706, 11883, 21105, 254, 117201, 198, 104654, 16144, 105284, 102677, 102944, 15682, 119448, 47884, 104721, 33208, 39926, 109749, 76947, 113334, 113461, 123794, 9174, 37689, 109375, 29295, 104721, 33208, 126693, 33014, 16144, 99750, 112854, 32977, 112661, 126101, 104721, 33208, 54926, 108680, 198, 115924, 103359, 109904, 117375, 17297, 20230, 22324, 32149, 115032, 76947, 100909, 120572, 9174, 30813, 38144, 5486, 110382, 16556, 109606, 108176, 112973, 198, 13177, 37689, 109375, 76947, 67645, 103171, 37689, 109375, 126529, 30, 111329, 76947, 91763, 30297, 17792, 32977, 127181, 119150, 9174, 102131, 5486, 110382, 55031, 29295, 17663, 48154, 47884, 28190, 101828, 16995, 100909, 117084, 109749, 9174, 37689, 109375, 109853, 113954, 30512, 102987, 62004, 100481, 76622, 81219, 198, 50834, 104043, 122582, 30591, 112568, 112028, 21990, 16144, 104734, 53953, 108176, 116497, 36785, 9174, 112825, 110904, 20230, 78244, 116285, 198, 103572, 38574, 104654, 16556, 33655, 103836, 37689, 109375, 15682, 30591, 47884, 17129, 72661, 198, 21405, 115070, 16556, 89753, 91875, 109904, 125641, 16144, 35086, 99, 112959, 47884, 119318, 116310, 16144, 37689, 109375, 125743, 198, 51330, 125821, 105665, 117083, 106353, 107188, 108761, 103438, 16144, 37689, 109375, 101983, 107462, 126145, 198, 110924, 55031, 103682, 82317, 54926, 122617, 20230, 58426, 117375, 29295, 108208, 64121, 78183, 28713, 107462, 47884, 102189, 9174, 85701, 20230, 116499, 47000, 126660, 19732, 198, 21405, 28190, 16144, 106266, 89753, 105352, 17129, 103468, 110674, 198, 64209, 107809, 16556, 122060, 122060, 21105, 103, 29295, 33503, 198, 9080, 40053, 104654, 30512, 37705, 30369, 100909, 117084, 114732, 9174, 85701, 104446, 43568, 102147, 226, 26854, 76739, 124643, 104603, 11972, 124905, 76947, 103801, 16995, 198, 64209, 19732, 33014, 29295, 127814, 106824, 114732, 113385, 101983, 42891, 104702, 30297, 32149, 32977, 101832, 9174, 102395, 109431, 20230, 127331, 33503, 17663, 103846, 5486, 37087, 38144, 121960, 27384, 102769, 26854, 198, 51330, 33354, 237, 71289, 107188, 37689, 109375, 20230, 95221, 109669, 16995, 100481, 108895, 9174, 102131, 5486, 28713, 100472, 16, 118821, 71493, 104603, 107118, 198, 51330, 32307, 27327, 16144, 13177, 37689, 109375, 10646, 113461, 57980, 9174, 51330, 37689, 109375, 16144, 95221, 109669, 50834, 24273, 109853, 15682, 198, 118899, 102923, 103991, 107809, 105352, 111887, 31431, 39209, 112371, 59739, 59739, 71289, 103836, 105879, 198, 109834, 103868, 29295, 30591, 104984, 33014, 111186, 39926, 64121, 38144, 101832, 1811, 128001, 128000, 567, 108791, 102494, 84477, 102756, 105048, 16556, 105047, 95399, 20230, 53283, 13372, 27479, 30512, 109415, 28713, 26728, 198, 104521, 101129, 116685, 15120, 104703, 105514, 10110, 88852, 5486, 104521, 101129, 123407, 104446, 30591, 106307, 50834, 17129, 39926, 5486, 26728, 16144, 106150, 114896, 98369, 108948, 124730, 78434, 1811, 119361, 114896, 17161, 107322, 105514, 10110, 88852, 5486, 106150, 114896, 123407, 90115, 5486, 26728, 16144, 106150, 114896, 16556, 123231, 1811, 26728, 15682, 91482, 68408, 90962, 47260, 119263, 78683, 102663, 38248, 115, 78205, 113883, 125175, 30512, 48154, 104908, 127145, 29295, 123213, 61337, 15682, 127164, 16144, 61786, 56235, 111418, 16144, 60868, 100560, 236, 108270, 102677, 110229, 20230, 77121, 16995, 17129, 39926, 115515, 15682, 102616, 16556, 103664, 21, 11, 931, 13372, 16144, 61337, 102351, 16556, 103768, 112167, 30512, 103792, 108695, 38641, 1811, 102332, 80195, 39926, 89408, 16556, 605, 8107, 115717, 5486, 679, 24, 116358, 19, 9953, 20230, 88611, 20230, 17905, 75267, 126020, 33541, 1811, 102433, 16144, 90962, 106384, 22398, 32977, 115515, 15682, 108031, 5894, 13372, 16144, 33014, 44416, 16556, 123085, 112197, 65854, 118969, 30512, 48154, 122521, 107726, 100481, 90620, 102532, 108086, 33541, 9174, 77693, 77181, 110382, 55031, 8239, 112, 122502, 117903, 16144, 104721, 107804, 102677, 118733, 108948, 87177, 30512, 106307, 76622, 107726, 100481, 90620, 50834, 33541, 125939, 17129, 72661, 5486, 91482, 68408, 90962, 47260, 119263, 78683, 102663, 38248, 115, 78205, 113883, 103223, 64178, 76947, 76622, 42891, 108895, 105693, 123794, 19732, 1811, 508, 8107, 71689, 25580, 55031, 105693, 102189, 123682, 32977, 5486, 17, 8107, 25580, 15682, 37087, 47884, 120613, 32977, 104655, 102334, 105908, 104435, 105933, 26728, 29295, 5486, 114387, 20230, 121819, 105987, 112535, 105047, 20230, 33655, 126832, 101200, 110276, 104865, 19732, 9174, 13177, 127177, 91482, 68408, 90962, 47260, 119263, 78683, 102663, 38248, 115, 78205, 113883, 103223, 64178, 19732, 99849, 29295, 108010, 126699, 112130, 66383, 95604, 48154, 105284, 99397, 30512, 16995, 90620, 47884, 105908, 114652, 101182, 116233, 29295, 5486, 16937, 91763, 104760, 20230, 91763, 103836, 24273, 29295, 121771, 98369, 16995, 33503, 42891, 116826, 30369, 102189, 26854, 119150, 16144, 38641, 123682, 32977, 9174, 114652, 33334, 65854, 118969, 20230, 13177, 26728, 15682, 121819, 105987, 9554, 107294, 105722, 31431, 126172, 47884, 38144, 102769, 33121, 109669, 110706, 59712, 108729, 118463, 29295, 104622, 115032, 123794, 66383, 108948, 42891, 116826, 107462, 90620, 47884, 105908, 127181, 116233, 29295, 112160, 87217, 16144, 114667, 15682, 110924, 107188, 106046, 61689, 1811, 74482, 102404, 105110, 77181, 16144, 41758, 116670, 68408, 126590, 16144, 121953, 36785, 106046, 61689, 123682, 32977, 9174, 567, 111420, 104760, 103378, 126194, 5486, 124180, 91482, 33710, 103857, 94550, 105352, 38129, 108608, 26728, 198, 106150, 114896, 5232, 37271, 103296, 119775, 5486, 118823, 102756, 105048, 117501, 30512, 23226, 106594, 54926, 118733, 108729, 118463, 30512, 106529, 33563, 119607, 117408, 103378, 126194, 38144, 5486, 26728, 16144, 126513, 13177, 124773, 123437, 67075, 15682, 30250, 227, 109337, 29295, 102404, 21990, 54926, 102944, 36785, 66383, 95604, 106592, 25580, 29172, 116446, 5486, 102741, 112508, 111234, 39880, 16144, 108748, 104930, 11972, 72661, 109896, 110590, 30512, 39926, 5486, 106482, 66201, 29295, 109683, 20230, 108044, 78183, 30369, 105933, 112113, 30512, 121771, 98369, 33655, 106358, 31431, 9174, 77693, 55031, 60868, 112164, 11972, 110366, 103378, 104446, 103470, 38144, 5486, 118899, 118463, 29295, 67645, 124592, 25827, 115442, 103836, 79982, 106968, 110366, 16144, 80805, 124049, 30512, 30297, 17129, 47884, 33655, 30297, 118733, 5486, 59739, 105722, 31431, 126172, 47884, 38144, 102769, 33121, 109669, 110706, 102677, 106592, 48154, 104908, 109768, 104533, 1811, 102131, 16995, 100472, 125175, 16556, 123231, 1811, 108895, 16995, 100472, 103223, 64178, 124905, 76947, 110371, 17, 8107, 56965, 13177, 117382, 15682, 103082, 104435, 19000, 110362, 114731, 102781, 29295, 103082, 38144, 5486, 117475, 103732, 102518, 57980, 66383, 33334, 42891, 116826, 107462, 90620, 47884, 115789, 127181, 38641, 9174, 37271, 103296, 10110, 26728, 16144, 38129, 15682, 7705, 38093, 104760, 102416, 110284, 123410, 103378, 103351, 116233, 29295, 108048, 103378, 126194, 38144, 33122, 111813, 71289, 124180, 91482, 33710, 103857, 94550, 32977, 66327, 108695, 120650, 32149, 103470, 111243, 123213, 95221, 101983, 104984, 102717, 19732, 124592, 16144, 121101, 29295, 37823, 102494, 84477, 16556, 108608, 101200, 117084, 5486, 122502, 50834, 24273, 29295, 126920, 119448, 47884, 104721, 116547, 79721, 66383, 33334, 42891, 116826, 107462, 90620, 47884, 115789, 127181, 116233, 9174, 90620, 5486, 27452, 116285, 106613, 108638, 89046, 16144, 44971, 121057, 16556, 125053, 103792, 105933, 13177, 24, 111017, 16144, 114435, 29295, 19000, 110362, 114731, 102781, 71289, 57933, 44971, 102756, 105048, 30512, 106839, 17701, 121256, 59712, 806, 72368, 45893, 102697, 72099, 16556, 2397, 80805, 38248, 119, 52414, 16144, 20834, 114731, 112919, 21403, 232, 114485, 29295, 103082, 79721, 66383, 78244, 103836, 104468, 123085, 17792, 37087, 33014, 16556, 91774, 104984, 5486, 126920, 15120, 34048, 16144, 90962, 106384, 22398, 102756, 38248, 104, 11972, 20230, 48249, 102204, 101732, 102677, 102321, 103350, 107407, 119150, 116233, 123794, 9174, 567, 108791, 102494, 84477, 102756, 105048, 16556, 101890, 254, 17044, 110, 101983, 103836, 5486, 76739, 26269, 113714, 123618, 102756, 38248, 104, 115247, 48706, 198, 106150, 114896, 5232, 16995, 78183, 106644, 30369, 76739, 26269, 113714, 123618, 102756, 38248, 104, 11972, 30512, 104356, 116446, 123085, 107707, 27384, 43240, 9039, 103195, 102321, 75267, 16556, 122502, 47884, 24273, 104680, 15682, 5486, 67645, 103171, 20230, 109688, 117126, 26854, 127749, 101983, 114598, 107430, 75267, 117158, 114731, 15024, 106307, 76622, 123207, 16995, 76622, 104435, 1811, 125144, 50338, 30512, 109755, 33121, 101860, 20230, 102782, 15024, 109415, 104533, 121906, 16995, 100472, 24273, 104680, 16144, 101890, 254, 17044, 110, 29295, 30591, 76947, 5486, 85707, 107436, 90962, 106384, 22398, 102756, 38248, 104, 11972, 15682, 37823, 102494, 84477, 102756, 105048, 30512, 103350, 102321, 103082, 101732, 102677, 115515, 103296, 16144, 102321, 103350, 107407, 119150, 116233, 123794, 9174, 101182, 9080, 113938, 5486, 122617, 16144, 117876, 29295, 37823, 102494, 84477, 102756, 105048, 20230, 22324, 50834, 109033, 58942, 102204, 104533, 15682, 117864, 47884, 91763, 107462, 107515, 29295, 5486, 108895 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 68759, 11972, 5486, 33563, 117126, 48915, 39209, 102351, 63415, 108152, 113335, 72369, 112164, 11972, 5486, 104603, 41758, 102756, 38248, 104, 11972, 10110, 118823, 16556, 110904, 102404, 16144, 117876, 30512, 109311, 76622, 109972, 16995, 7705, 50667, 198, 90620, 15024, 109311, 109972, 101275, 20230, 109638, 40265, 56051, 107803, 71289, 25333, 23187, 66224, 27113, 101275, 104091, 20230, 53900, 29295, 30369, 126513, 111681, 85188, 107001, 105908, 57903, 33541, 9174, 118899, 77181, 108152, 113335, 72369, 112164, 11972, 104309, 118823, 97518, 89046, 101275, 104091, 109853, 32977, 25333, 23187, 101275, 104091, 20230, 96412, 109315, 125231, 111769, 32149, 102677, 104760, 105242, 32977, 57903, 33541, 9174, 72368, 45893, 102697, 72099, 29295, 111681, 85188, 36668, 33014, 26854, 105879, 116414, 103296, 96412, 109315, 32149, 102677, 28542, 109853, 15682, 18655, 121247, 119178, 104364, 115991, 33541, 9174, 50034, 115590, 26854, 101275, 104091, 16144, 126513, 114140, 54926, 104466, 103801, 109954, 1811, 128001, 128000, 21909, 51330, 71493, 104603, 9468, 242, 241, 30512, 46034, 109156, 106824, 64121, 101200, 21909, 198, 64121, 26854, 98369, 90115, 0, 115799, 103, 106112, 38641, 51447, 33014, 104873, 16937, 103424, 107118, 103429, 95221, 9458, 102663, 102472, 126328, 100204, 109709, 198, 76171, 52591, 33710, 76739, 16073, 103988, 71289, 108768, 33710, 114676, 50667, 104680, 198, 30591, 33503, 106644, 30369, 16937, 102395, 26854, 111571, 103397, 16144, 106592, 95604, 9174, 108936, 9554, 102052, 58426, 16937, 102395, 26854, 111571, 103397, 30512, 30926, 104398, 111201, 17620, 104770, 39926, 113385, 30512, 106767, 31431, 198, 28873, 38144, 21105, 103, 16995, 68408, 76428, 122258, 9554, 125456, 16556, 106116, 111108, 104482, 16144, 103899, 58942, 30512, 20834, 102131, 103306, 107991, 9174, 125743, 51330, 103721, 108, 31431, 104196, 21105, 254, 19732, 113116, 109904, 109972, 106529, 29295, 22398, 103621, 29220, 100604, 121867, 5380, 51330, 109972, 16144, 30590, 103198, 226, 33710, 107610, 109156, 76947, 114732, 19732, 198, 108968, 79982, 20230, 123726, 109669, 124749, 112391, 38144, 114732, 100909, 108995, 9174, 85701, 30512, 13177, 109954, 119703, 66383, 119852, 101682, 76622, 17701, 115032, 116537, 58426, 110674, 72661, 104712, 107493, 198, 103283, 16144, 64936, 27479, 55031, 115364, 16937, 104873, 104088, 74245, 39926, 198, 103283, 16144, 64936, 27479, 55031, 39880, 107420, 113335, 109768, 47884, 100909, 112212, 198, 37271, 103296, 107118, 37087, 47884, 108010, 100472, 113702, 20230, 102971, 102802, 59739, 16995, 100481, 47884, 115789, 114652, 101182, 102189, 9174, 104405, 39926, 33014, 104873, 29295, 103553, 102, 106824, 114604, 104865, 111476, 102677, 99397, 16995, 113115, 39926, 16144, 118158, 103899, 58942, 29295, 56965, 108010, 106358, 33503, 198, 58426, 61826, 16144, 103359, 117120, 25333, 32977, 108010, 76947, 109749, 104468, 40265, 115926, 25580, 120572, 101832, 9174, 27384, 30926, 26854, 104468, 106116, 103899, 58942, 29295, 116414, 103296, 37656, 50338, 20230, 60358, 118544, 36785, 119150, 9174, 27452, 116285, 104346, 123296, 30512, 104328, 102532, 114604, 103306, 198, 58426, 113385, 15682, 113461, 103950, 5380, 9458, 127814, 33121, 5380, 9458, 113136, 120379, 127242, 5380, 9458, 106142, 58942, 5380, 9458, 37795, 96, 20230, 103605, 100472, 107707, 47884, 116826, 64121, 5380, 30591, 109709, 20230, 125456, 29295, 74245, 60358, 120195, 104533, 114387, 113385, 67016, 114284, 40265, 28713, 110104, 102944, 36785, 9174, 110229, 29295, 125821, 125456, 16144, 111044, 114792, 28713, 72342, 100481, 76622, 81219, 198, 17905, 61304, 120950, 113385, 106046, 126832, 120266, 106956, 39926, 198, 99959, 126989, 30512, 109972, 76947, 114732, 33014, 101983, 103836, 104468, 198, 127177, 105908, 113385, 101983, 103836, 100909, 105352, 95221, 109669, 47884, 32149, 121061, 9174, 122582, 13177, 37689, 109375, 111329, 51330, 108761, 103438, 30512, 30297, 17129, 47884, 33655, 30297, 100909, 113468, 198, 112832, 20230, 72661, 101198, 119539, 33710, 15682, 125119, 122101, 105272, 9174, 85701, 15682, 120065, 108010, 30297, 29295, 31195, 198, 37689, 109375, 102677, 5486, 17663, 48154, 47884, 30591, 16995, 17129, 117201, 5486, 16937, 105184, 23187, 109904, 100909, 109860, 127105, 198, 110924, 20230, 96412, 17129, 104028, 39442, 53283, 16144, 125396, 20230, 102756, 29220, 102756, 29220, 21105, 103, 16995, 108995, 32149, 5380, 37689, 109375, 16144, 33655, 16995, 24273, 16144, 120065, 56051, 47260, 103223, 30813, 58942, 17620, 32149, 104984, 198, 16937, 102395, 26854, 111571, 103397, 117758, 110645, 20834, 120264, 15682, 112825, 110904, 20230, 106084, 38144, 114732, 102944, 113461, 9174, 77693, 103378, 51330, 108761, 103438, 102052, 125062, 103646, 198, 112185, 30591, 109709, 53283, 102204, 126386, 80805, 124049, 29295, 105843, 112624, 103792, 9174, 85701, 30512, 66776, 108396, 110162, 90962, 71493, 108958, 119150, 116537, 83747, 26854, 55031, 101860, 107991, 107493, 198, 122582, 89151, 103350, 30512, 53283, 110104, 55031, 16556, 198, 118899, 16144, 33857, 45829, 118656, 48864, 77181, 51330, 17620, 102212, 16144, 102473, 32977, 107188, 31431, 103130, 64121, 198, 107707, 37689, 109375, 15682, 30591, 33503, 106644, 30369, 102944, 20230, 117375, 9458, 95543, 106482, 110731, 198, 102677, 109335, 17620, 126469, 50834, 100934, 9174, 104405, 95604, 113334, 32149, 101083, 107809, 102677, 102944, 15682, 198, 126920, 17792, 104770, 125030, 76947, 107734, 20230, 80195, 59739, 108134, 102677, 102944, 15682, 198, 125062, 107001, 101427, 122, 70141, 107407, 105879, 198, 77693, 30512, 32018, 62004, 100481, 47884, 102052, 16995, 85791, 103171, 102040, 65575, 33710, 107407, 105272, 9174, 26854, 105879, 5486, 17792, 102677, 48706, 16144, 102831, 104792, 117083, 37689, 109375, 16144, 76706, 11883, 21105, 254, 117201, 198, 104654, 16144, 105284, 102677, 102944, 15682, 119448, 47884, 104721, 33208, 39926, 109749, 76947, 113334, 113461, 123794, 9174, 37689, 109375, 29295, 104721, 33208, 126693, 33014, 16144, 99750, 112854, 32977, 112661, 126101, 104721, 33208, 54926, 108680, 198, 115924, 103359, 109904, 117375, 17297, 20230, 22324, 32149, 115032, 76947, 100909, 120572, 9174, 30813, 38144, 5486, 110382, 16556, 109606, 108176, 112973, 198, 13177, 37689, 109375, 76947, 67645, 103171, 37689, 109375, 126529, 30, 111329, 76947, 91763, 30297, 17792, 32977, 127181, 119150, 9174, 102131, 5486, 110382, 55031, 29295, 17663, 48154, 47884, 28190, 101828, 16995, 100909, 117084, 109749, 9174, 37689, 109375, 109853, 113954, 30512, 102987, 62004, 100481, 76622, 81219, 198, 50834, 104043, 122582, 30591, 112568, 112028, 21990, 16144, 104734, 53953, 108176, 116497, 36785, 9174, 112825, 110904, 20230, 78244, 116285, 198, 103572, 38574, 104654, 16556, 33655, 103836, 37689, 109375, 15682, 30591, 47884, 17129, 72661, 198, 21405, 115070, 16556, 89753, 91875, 109904, 125641, 16144, 35086, 99, 112959, 47884, 119318, 116310, 16144, 37689, 109375, 125743, 198, 51330, 125821, 105665, 117083, 106353, 107188, 108761, 103438, 16144, 37689, 109375, 101983, 107462, 126145, 198, 110924, 55031, 103682, 82317, 54926, 122617, 20230, 58426, 117375, 29295, 108208, 64121, 78183, 28713, 107462, 47884, 102189, 9174, 85701, 20230, 116499, 47000, 126660, 19732, 198, 21405, 28190, 16144, 106266, 89753, 105352, 17129, 103468, 110674, 198, 64209, 107809, 16556, 122060, 122060, 21105, 103, 29295, 33503, 198, 9080, 40053, 104654, 30512, 37705, 30369, 100909, 117084, 114732, 9174, 85701, 104446, 43568, 102147, 226, 26854, 76739, 124643, 104603, 11972, 124905, 76947, 103801, 16995, 198, 64209, 19732, 33014, 29295, 127814, 106824, 114732, 113385, 101983, 42891, 104702, 30297, 32149, 32977, 101832, 9174, 102395, 109431, 20230, 127331, 33503, 17663, 103846, 5486, 37087, 38144, 121960, 27384, 102769, 26854, 198, 51330, 33354, 237, 71289, 107188, 37689, 109375, 20230, 95221, 109669, 16995, 100481, 108895, 9174, 102131, 5486, 28713, 100472, 16, 118821, 71493, 104603, 107118, 198, 51330, 32307, 27327, 16144, 13177, 37689, 109375, 10646, 113461, 57980, 9174, 51330, 37689, 109375, 16144, 95221, 109669, 50834, 24273, 109853, 15682, 198, 118899, 102923, 103991, 107809, 105352, 111887, 31431, 39209, 112371, 59739, 59739, 71289, 103836, 105879, 198, 109834, 103868, 29295, 30591, 104984, 33014, 111186, 39926, 64121, 38144, 101832, 1811, 128001, 128000, 567, 108791, 102494, 84477, 102756, 105048, 16556, 105047, 95399, 20230, 53283, 13372, 27479, 30512, 109415, 28713, 26728, 198, 104521, 101129, 116685, 15120, 104703, 105514, 10110, 88852, 5486, 104521, 101129, 123407, 104446, 30591, 106307, 50834, 17129, 39926, 5486, 26728, 16144, 106150, 114896, 98369, 108948, 124730, 78434, 1811, 119361, 114896, 17161, 107322, 105514, 10110, 88852, 5486, 106150, 114896, 123407, 90115, 5486, 26728, 16144, 106150, 114896, 16556, 123231, 1811, 26728, 15682, 91482, 68408, 90962, 47260, 119263, 78683, 102663, 38248, 115, 78205, 113883, 125175, 30512, 48154, 104908, 127145, 29295, 123213, 61337, 15682, 127164, 16144, 61786, 56235, 111418, 16144, 60868, 100560, 236, 108270, 102677, 110229, 20230, 77121, 16995, 17129, 39926, 115515, 15682, 102616, 16556, 103664, 21, 11, 931, 13372, 16144, 61337, 102351, 16556, 103768, 112167, 30512, 103792, 108695, 38641, 1811, 102332, 80195, 39926, 89408, 16556, 605, 8107, 115717, 5486, 679, 24, 116358, 19, 9953, 20230, 88611, 20230, 17905, 75267, 126020, 33541, 1811, 102433, 16144, 90962, 106384, 22398, 32977, 115515, 15682, 108031, 5894, 13372, 16144, 33014, 44416, 16556, 123085, 112197, 65854, 118969, 30512, 48154, 122521, 107726, 100481, 90620, 102532, 108086, 33541, 9174, 77693, 77181, 110382, 55031, 8239, 112, 122502, 117903, 16144, 104721, 107804, 102677, 118733, 108948, 87177, 30512, 106307, 76622, 107726, 100481, 90620, 50834, 33541, 125939, 17129, 72661, 5486, 91482, 68408, 90962, 47260, 119263, 78683, 102663, 38248, 115, 78205, 113883, 103223, 64178, 76947, 76622, 42891, 108895, 105693, 123794, 19732, 1811, 508, 8107, 71689, 25580, 55031, 105693, 102189, 123682, 32977, 5486, 17, 8107, 25580, 15682, 37087, 47884, 120613, 32977, 104655, 102334, 105908, 104435, 105933, 26728, 29295, 5486, 114387, 20230, 121819, 105987, 112535, 105047, 20230, 33655, 126832, 101200, 110276, 104865, 19732, 9174, 13177, 127177, 91482, 68408, 90962, 47260, 119263, 78683, 102663, 38248, 115, 78205, 113883, 103223, 64178, 19732, 99849, 29295, 108010, 126699, 112130, 66383, 95604, 48154, 105284, 99397, 30512, 16995, 90620, 47884, 105908, 114652, 101182, 116233, 29295, 5486, 16937, 91763, 104760, 20230, 91763, 103836, 24273, 29295, 121771, 98369, 16995, 33503, 42891, 116826, 30369, 102189, 26854, 119150, 16144, 38641, 123682, 32977, 9174, 114652, 33334, 65854, 118969, 20230, 13177, 26728, 15682, 121819, 105987, 9554, 107294, 105722, 31431, 126172, 47884, 38144, 102769, 33121, 109669, 110706, 59712, 108729, 118463, 29295, 104622, 115032, 123794, 66383, 108948, 42891, 116826, 107462, 90620, 47884, 105908, 127181, 116233, 29295, 112160, 87217, 16144, 114667, 15682, 110924, 107188, 106046, 61689, 1811, 74482, 102404, 105110, 77181, 16144, 41758, 116670, 68408, 126590, 16144, 121953, 36785, 106046, 61689, 123682, 32977, 9174, 567, 111420, 104760, 103378, 126194, 5486, 124180, 91482, 33710, 103857, 94550, 105352, 38129, 108608, 26728, 198, 106150, 114896, 5232, 37271, 103296, 119775, 5486, 118823, 102756, 105048, 117501, 30512, 23226, 106594, 54926, 118733, 108729, 118463, 30512, 106529, 33563, 119607, 117408, 103378, 126194, 38144, 5486, 26728, 16144, 126513, 13177, 124773, 123437, 67075, 15682, 30250, 227, 109337, 29295, 102404, 21990, 54926, 102944, 36785, 66383, 95604, 106592, 25580, 29172, 116446, 5486, 102741, 112508, 111234, 39880, 16144, 108748, 104930, 11972, 72661, 109896, 110590, 30512, 39926, 5486, 106482, 66201, 29295, 109683, 20230, 108044, 78183, 30369, 105933, 112113, 30512, 121771, 98369, 33655, 106358, 31431, 9174, 77693, 55031, 60868, 112164, 11972, 110366, 103378, 104446, 103470, 38144, 5486, 118899, 118463, 29295, 67645, 124592, 25827, 115442, 103836, 79982, 106968, 110366, 16144, 80805, 124049, 30512, 30297, 17129, 47884, 33655, 30297, 118733, 5486, 59739, 105722, 31431, 126172, 47884, 38144, 102769, 33121, 109669, 110706, 102677, 106592, 48154, 104908, 109768, 104533, 1811, 102131, 16995, 100472, 125175, 16556, 123231, 1811, 108895, 16995, 100472, 103223, 64178, 124905, 76947, 110371, 17, 8107, 56965, 13177, 117382, 15682, 103082, 104435, 19000, 110362, 114731, 102781, 29295, 103082, 38144, 5486, 117475, 103732, 102518, 57980, 66383, 33334, 42891, 116826, 107462, 90620, 47884, 115789, 127181, 38641, 9174, 37271, 103296, 10110, 26728, 16144, 38129, 15682, 7705, 38093, 104760, 102416, 110284, 123410, 103378, 103351, 116233, 29295, 108048, 103378, 126194, 38144, 33122, 111813, 71289, 124180, 91482, 33710, 103857, 94550, 32977, 66327, 108695, 120650, 32149, 103470, 111243, 123213, 95221, 101983, 104984, 102717, 19732, 124592, 16144, 121101, 29295, 37823, 102494, 84477, 16556, 108608, 101200, 117084, 5486, 122502, 50834, 24273, 29295, 126920, 119448, 47884, 104721, 116547, 79721, 66383, 33334, 42891, 116826, 107462, 90620, 47884, 115789, 127181, 116233, 9174, 90620, 5486, 27452, 116285, 106613, 108638, 89046, 16144, 44971, 121057, 16556, 125053, 103792, 105933, 13177, 24, 111017, 16144, 114435, 29295, 19000, 110362, 114731, 102781, 71289, 57933, 44971, 102756, 105048, 30512, 106839, 17701, 121256, 59712, 806, 72368, 45893, 102697, 72099, 16556, 2397, 80805, 38248, 119, 52414, 16144, 20834, 114731, 112919, 21403, 232, 114485, 29295, 103082, 79721, 66383, 78244, 103836, 104468, 123085, 17792, 37087, 33014, 16556, 91774, 104984, 5486, 126920, 15120, 34048, 16144, 90962, 106384, 22398, 102756, 38248, 104, 11972, 20230, 48249, 102204, 101732, 102677, 102321, 103350, 107407, 119150, 116233, 123794, 9174, 567, 108791, 102494, 84477, 102756, 105048, 16556, 101890, 254, 17044, 110, 101983, 103836, 5486, 76739, 26269, 113714, 123618, 102756, 38248, 104, 115247, 48706, 198, 106150, 114896, 5232, 16995, 78183, 106644, 30369, 76739, 26269, 113714, 123618, 102756, 38248, 104, 11972, 30512, 104356, 116446, 123085, 107707, 27384, 43240, 9039, 103195, 102321, 75267, 16556, 122502, 47884, 24273, 104680, 15682, 5486, 67645, 103171, 20230, 109688, 117126, 26854, 127749, 101983, 114598, 107430, 75267, 117158, 114731, 15024, 106307, 76622, 123207, 16995, 76622, 104435, 1811, 125144, 50338, 30512, 109755, 33121, 101860, 20230, 102782, 15024, 109415, 104533, 121906, 16995, 100472, 24273, 104680, 16144, 101890, 254, 17044, 110, 29295, 30591, 76947, 5486, 85707, 107436, 90962, 106384, 22398, 102756, 38248, 104, 11972, 15682, 37823, 102494, 84477, 102756, 105048, 30512, 103350, 102321, 103082, 101732, 102677, 115515, 103296, 16144, 102321, 103350, 107407, 119150, 116233, 123794, 9174, 101182, 9080, 113938, 5486, 122617, 16144, 117876, 29295, 37823, 102494, 84477, 102756, 105048, 20230, 22324, 50834, 109033, 58942, 102204, 104533, 15682, 117864, 47884, 91763, 107462, 107515, 29295, 5486, 108895 ]
[ 16995, 100472, 117876, 16144, 605, 80805, 38248, 119, 52414, 72661, 508, 80805, 38248, 119, 52414, 72661, 5486, 37823, 102494, 84477, 47260, 119263, 78683, 102663, 38248, 115, 78205, 113883, 57933, 29220, 101335, 42634, 76428, 11972, 30512, 48154, 104908, 39926, 33655, 30297, 105908, 103082, 104984, 123085, 37087, 33014, 16144, 21990, 106518, 34171, 9458, 105509, 34171, 15682, 107850, 109526, 235, 112535, 70141, 17905, 54926, 25827, 110034, 107188, 106046, 61689, 9174, 85701, 15682, 5486, 91482, 68408, 90962, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 30512, 38093, 104760, 16144, 22324, 50834, 109033, 58942, 16144, 103846, 103378, 20230, 29172, 81742, 39926, 105898, 101275, 98220, 37087, 33014, 16144, 109606, 38641, 15024, 115408, 116907, 119448, 47884, 95543, 66870, 30512, 39926, 5486, 113727, 24273, 30512, 104721, 107800, 16, 8107, 103268, 16556, 56051, 9174, 110924, 16556, 86127, 67645, 32977, 15682, 5486, 59739, 105722, 31431, 126172, 47884, 38144, 102769, 33121, 109669, 110706, 102677, 5486, 61826, 108680, 102782, 15024, 109415, 28713, 66378, 17599, 112, 30512, 76706, 32149, 39926, 5486, 118597, 117501, 16144, 109161, 16995, 116245, 72661, 5486, 118969, 75694, 17129, 26854, 102321, 75267, 16556, 48154, 107740, 16995, 90620, 47884, 48154, 29172, 81742, 30512, 108882, 110993, 112535, 103130, 107436, 108086, 33541, 1811, 104378, 71289, 103242, 109519, 16144, 37823, 102494, 84477, 120761, 64889, 103378, 126194, 5486, 106848, 94134, 33014, 19732, 108399, 89046, 120988, 108975, 23187, 30512, 102971, 81219, 72342, 100481, 90620, 102532, 5486, 23530, 70821, 125175, 71289, 33563, 105298, 9458, 103005, 55228, 231, 5486, 114181, 101426, 72661, 48154, 107740, 16995, 90620, 16995, 101732, 31431, 9174, 37271, 15682, 114734, 16144, 91739, 241, 40526, 16556, 48154, 107740, 16995, 90620, 16995, 101732, 31431, 5486, 45923, 42634, 107060, 71289, 124131, 103927, 19732, 103214, 64121, 114146, 38144, 114407, 101275, 71289, 49792, 75267, 104309, 113245, 107740, 105352, 108285, 29295, 76947, 61689, 15024, 5486, 108895, 16995, 100472, 102321, 75267, 113245, 37823, 102494, 84477, 47260, 119263, 78683, 102663, 38248, 115, 78205, 113883, 103572, 82317, 29295, 115847, 117758, 8239, 112, 122502, 117903, 20230, 119448, 47884, 117375, 30512, 58318, 105262, 108995, 19732, 78698, 107290, 61689, 9174, 567, 121238, 76428, 102750, 22398, 76706, 11883, 19732, 108936, 33420, 106382, 30046, 70141, 76622, 30512, 110176, 80195, 56051, 26728, 198, 106150, 114896, 5232, 26728, 16144, 108031, 16, 118821, 27384, 112495, 66378, 17599, 112, 15682, 5486, 91482, 76428, 102750, 22398, 72661, 108048, 55031, 104575, 71289, 108936, 33420, 106382, 112919, 24273, 32977, 5486, 121819, 105987, 112535, 33655, 126832, 55999, 33035, 16144, 125540, 67075, 108526, 103202, 101983, 103836, 100909, 36785, 106046, 61689, 125939, 17129, 72661, 108895, 16995, 100472, 103223, 64178, 15682, 57903, 79721, 29295, 5486, 91482, 76428, 102750, 117718, 102616, 121142, 33655, 126832, 103223, 64178, 19732, 5486, 104378, 71289, 102159, 107707, 56965, 121142, 103572, 82317, 103792, 103223, 64178, 29295, 17620, 32149, 33121, 100481, 38144, 5486, 55999, 33035, 16144, 125540, 67075, 108526, 103202, 15682, 30591, 109709, 104435, 116233, 123794, 9174, 26728, 29295, 85707, 107436, 77693, 108422, 33121, 16144, 31634, 14558, 30512, 112624, 28713, 39926, 5486, 121819, 105987, 112535, 43240, 119064, 24273, 107898, 33655, 104712, 90620, 105784, 101200, 110276, 5486, 55999, 33035, 16144, 125540, 67075, 108526, 103202, 101983, 103468, 106046, 61689, 113637, 109335, 17663, 48154, 47884, 107693, 16556, 5486, 114435, 71289, 108638, 33014, 29295, 58426, 61826, 16144, 108936, 33420, 106382, 30046, 121254, 107441, 37823, 102494, 84477, 16556, 125175, 30512, 104908, 119607, 114267, 126101, 110371, 55999, 33035, 16144, 125540, 67075, 108526, 103202, 29295, 109215, 19732, 84389, 101732, 102677, 100909, 36785, 119150, 116233, 123794, 9174, 38641, 55031, 115847, 117758, 37823, 102494, 84477, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 15682, 90962, 106384, 22398, 102756, 38248, 104, 11972, 103378, 16144, 102944, 126194, 5486, 126920, 109215, 103306, 107991, 24273, 15682, 125821, 125821, 43511, 20230, 16995, 33503, 42891, 116826, 76947, 1811, 102433, 16325, 16144, 102321, 75267, 16144, 117876, 30512, 104721, 58942, 100481, 107188, 118145, 105110, 100604, 15024, 5486, 114435, 71289, 108638, 33014, 29295, 58426, 61826, 16144, 108936, 33420, 106382, 30046, 70141, 76622, 20230, 125175, 30512, 104908, 39926, 115515, 103296, 105693, 110426, 30512, 127258, 17663, 118733, 127331, 33503, 21105, 234, 102924, 60632, 117084, 123085, 37087, 33014, 16144, 8239, 112, 122502, 48634, 29295, 125821, 115289, 122279, 101983, 107462, 120816, 110034, 107188, 19732, 78698, 107290, 61689, 9174, 567, 45631, 57933, 29220, 101335, 42634, 76428, 11972, 29295, 17792, 20230, 108385, 31431, 114001, 30297, 104466, 68408, 126590, 54926, 100909, 10646, 29295, 107693, 198, 106150, 114896, 5232, 114435, 16556, 5486, 67016, 32977, 90962, 106384, 22398, 102756, 38248, 104, 38248, 226, 90962, 106384, 22398, 121142, 107740, 110731, 107803, 16144, 64810, 123283, 37823, 103906, 16144, 113727, 24273, 20230, 21601, 107290, 106116, 61826, 16144, 108936, 33420, 106382, 30046, 19732, 59739, 26854, 104699, 104856, 104533, 5486, 16937, 66378, 23187, 43240, 9039, 120332, 29295, 107740, 54926, 100909, 115717, 33541, 105879, 115515, 103296, 71689, 16144, 64810, 123283, 37823, 103906, 16144, 55487, 101557, 106, 29295, 109215, 115717, 33541, 109900, 20230, 61826, 108680, 102782, 15024, 109415, 28713, 105933, 102321, 75267, 77181, 5486, 62903, 125024, 65575, 124905, 78183, 103470, 111243, 107740, 30046, 29295, 104736, 110322, 108608, 105933, 49792, 101908, 32977, 109215, 117084, 17129, 16995, 31431, 33541, 9174, 37, 28729, 71289, 1669, 18082, 110162, 121906, 16995, 100472, 64810, 123283, 37823, 103906, 123782, 20230, 107253, 26955, 254, 54926, 104468, 40265, 115926, 123628, 100909, 105321, 119627, 5486, 109161, 37689, 16144, 101182, 110284, 30046, 30512, 47260, 52414, 42634, 64178, 56051, 31431, 5486, 61056, 21418, 56051, 31431, 109900, 55031, 5486, 30177, 106307, 108608, 60868, 112164, 115247, 29504, 30512, 44416, 109088, 56051, 31431, 5486, 110284, 30046, 29295, 67645, 16144, 29504, 126328, 17701, 76947, 104712, 123682, 32977, 5486, 67645, 16144, 29504, 126328, 17701, 110615, 102677, 44416, 109088, 123410, 9174, 102131, 16995, 100472, 109215, 115991, 33541, 15024, 5486, 79785, 71174, 71289, 115592, 102540, 16073, 102895, 67075, 15682, 5486, 47260, 93298, 107001, 106592, 25580, 29172, 116446, 10110, 22398, 102803, 45923, 16144, 7705, 65917, 17297, 120950, 108950, 123772, 121432, 16556, 5486, 67645, 16144, 110284, 30046, 55031, 47260, 93298, 103646, 32149, 29295, 104862, 122561, 108608, 121906, 16995, 100472, 109215, 34171, 32977, 20834, 38144, 17129, 16995, 31431, 33541, 1811, 108895, 16995, 100472, 64810, 123283, 37823, 103906, 16144, 109606, 105352, 117271, 54926, 109215, 107407, 104865, 26854, 106046, 61689, 9174, 90620, 5486, 108895, 95604, 57933, 29220, 101335, 42634, 76428, 11972, 124905, 16995, 22957, 26854, 17663, 124122, 68408, 76428, 122258, 17792, 103234, 30512, 105184, 33563, 54926, 110162, 5486, 101662, 13153, 123410, 102677, 104760, 105242, 29295, 114652, 57903, 33541, 123682, 32977, 1811, 114754, 57933, 29220, 101335, 42634, 76428, 11972, 124905, 16995, 22957, 26854, 102131, 19732, 28194, 106, 119895, 54926, 16144, 126194, 38144, 5486, 57933, 29220, 101335, 42634, 76428, 11972, 29295, 17792, 20230, 108385, 31431, 114001, 30297, 104466, 68408, 126590, 54926, 118733, 5486, 125821, 43240, 119064, 101083, 31640, 71289, 104654, 83799, 107328, 120332, 29295, 115289, 122279, 20230, 122502, 47884, 105908, 108608, 101200, 108176, 1811, 102131, 16995, 100472, 115789, 115408, 67645, 32977, 15682, 107693, 118816, 78698, 107290, 108086, 17129, 39926, 9174, 102131, 54926, 118733, 5486, 106848, 17792, 103234, 71289, 108502, 104698, 30046, 25132, 229, 11883, 110162, 108048, 55031, 101662, 116581, 9458, 75910, 106528, 30512, 21105, 103, 29295, 120577, 115289, 122279, 26854, 122502, 50834, 24273, 5486, 8239, 112, 122502, 37689, 111654, 16144, 101182, 24273, 29295, 108285, 47884, 76706, 109526, 235, 108608, 101200, 101983, 104533, 78698, 107290, 61689, 1811, 71689, 38641, 9174, 104521, 101129, 5232, 97135, 61689, 9174, 567, 121238, 76428, 102750, 22398, 70141, 76622, 19732, 109713, 107271, 108941, 11972, 70141, 76622, 5486, 110176, 24273, 30512, 13153, 21105, 230, 28713, 114667, 107118, 198, 104521, 101129, 5232, 106150, 114896, 98369, 20230, 16, 59739, 48154, 105284, 99397, 56051, 16995, 104468, 108948, 42891, 116826, 30369, 104466, 17, 59739, 118322, 66378, 17599, 112, 16144, 13177, 91482, 76428, 102750, 22398, 9458, 109713, 107271, 108941, 11972, 55999, 33035, 113245, 125540, 67075, 108526, 103202, 126557, 105184, 111201, 8429, 30512, 117876, 16556, 33655, 30297, 104856, 104533, 124563, 107188, 32149, 122543, 102677, 16325, 16556, 124563, 104127, 26728, 15682, 110176, 24273, 30512, 13153, 21105, 230, 104702, 100472, 25827, 112130, 101832, 11571, 10110, 49838, 75376, 58426, 106613, 100783, 107, 71289, 114667, 102677, 32149, 120953, 95604, 120098, 29295, 65299, 102663, 28713, 104865, 1811, 119361, 114896, 5232, 107188, 31431, 109933, 111999, 76428, 115991, 17129, 39926, 1811, 126843, 5486, 33655, 114774, 17663, 30813, 30512, 104862, 32018, 107113, 105879, 5486, 125261, 105067, 104322, 33420, 106382, 112919, 24273, 16144, 107740, 15682, 103856, 47884, 17792, 116499, 20834, 28713, 116233, 123682, 32977, 1811, 71289, 15682, 31431, 5486, 114435, 113245, 64810, 123283, 37823, 103906, 16144, 106154, 31431, 24273, 102677, 16144, 19732, 5486, 964, 10110, 40452, 30046, 120732, 16995, 100604, 102159, 107707, 24273, 16144, 64810, 123283, 37823, 103906, 16144, 106154, 31431, 24273, 15682, 117864, 47884, 103283, 53953, 16556, 109900, 30512, 105107, 25446, 107809, 109156, 104028, 102677, 109933, 111999, 76428, 30512, 5486, 86436, 8107, 15682, 107188, 31431, 71289, 100472, 116233, 101832, 1811, 114147, 101129, 5232, 102416, 11972, 6447, 119361, 114896, 5232, 110924, 29295, 27384, 112495, 109933, 111999, 76428, 16556, 56051, 1811, 114147, 101129, 5232, 102131, 95604, 115552, 16556, 5486, 33122, 11883, 107740, 16144, 104983, 16144, 109606, 28542, 5486, 30813, 121381, 16144, 64810, 123283, 37823, 103906, 16144, 14558, 110162, 29295, 107188, 31431, 29220, 104612, 110731, 105879, 5486, 114435, 113245, 106839, 17701, 29295, 50834, 43514, 127842, 103130, 102189, 19732, 1811, 119361, 114896, 5232, 58426, 19732, 108086, 125651, 1811, 114147, 101129, 5232, 109020, 108680, 5486, 97135, 61689, 1811, 17663, 48154, 47884, 53508, 231, 104195, 115717, 33541, 1811, 104446, 30591, 5486, 106307, 102532, 86127, 55031, 1811, 102131, 95604, 115552, 77181, 36896, 122502, 50834, 24273, 66383, 117952, 104028, 19732, 5486, 36785, 102334, 16995, 33334, 71174, 29295, 32149, 117295, 101200, 101983, 103836, 107059, 65299, 45923, 102756, 105048, 22398, 119627, 1811, 26728, 98369, 19732, 126419, 16556, 605, 8107, 30832, 108176, 107059, 65299, 45923, 102756, 105048, 22398, 55031, 5486, 605, 8107, 107809, 16556, 104405, 8239, 112, 122502, 117903, 104088, 100934, 32149, 102677, 33334, 87177, 30512, 115408, 55031, 103082, 104984, 106046, 76947, 61689, 9174, 567, 117826, 31640, 106222, 16144, 102433, 15682, 13177, 29504, 9458, 114435, 9458, 121568, 10646, 29295, 15120, 33014, 101983, 103836, 198, 104521, 101129, 5232, 37046, 104680, 15682, 37271, 5486, 10617, 32307, 107707, 107059, 65299, 45923, 102756, 38248, 104, 11972, 19732, 5728, 32307, 61337, 16144, 29220, 102803, 39880, 52414, 29295, 5486, 126920, 31809, 65316, 117876, 118816, 5486, 16, 11, 931, 35757, 55031, 17905, 15682, 1041, 110743, 71289, 1049, 110743, 102083, 100472, 102944, 30512, 110191, 118372, 16556, 124807, 44971, 110548, 20230, 121568, 19732, 114435, 29295, 71289, 31431, 108167, 30512, 103792, 1811, 107943, 125540, 67075, 108526, 103202, 115717, 33541, 9174, 104603, 41758, 102756, 105048, 76947, 115515, 112987, 85791, 16995, 85791, 109606, 28542, 110162, 32977, 64467, 112419, 116216, 61689, 29295, 115847, 15682, 37656, 61337, 102351, 16144, 123141, 16144, 122060, 68408, 84477, 118816, 78698, 107290, 61689, 1811, 37656, 61337, 102351, 29295, 64531, 104874, 103646, 104468, 5486, 102669, 74482, 6393, 20, 8107, 30512, 105335, 84477, 117408, 16325, 16556, 4767, 8107, 107517, 100472, 123141, 30512, 5486, 105647, 124955, 25333, 29295, 1758, 8107, 112772, 122060, 68408, 84477, 119607, 103306, 5486, 9953, 110726, 10110, 49, 6430, 7705, 115226, 26854, 32149, 105459, 124911, 103234, 20230, 9174, 104603, 41758, 102756, 105048, 10110, 21243, 824, 1005, 7705, 71289, 110191, 68408, 68759, 102860, 16556, 17792, 103234, 29295, 33655, 105262, 102677, 16144, 30512, 5486, 110382, 605, 8107, 71289, 103836, 1811, 26854, 105879, 5486, 37656, 61337, 102351, 16144, 104405, 16995, 100472, 124858, 107407, 32149, 30512, 123011, 107436, 64121, 38144, 33541, 9174, 117952, 101860, 32977, 29295, 26854, 119627, 123085, 15682, 102159, 114754, 102667, 30512, 20834, 127567, 114435, 20230, 125151, 30512, 39926, 36896, 64121, 103171, 102667, 120650, 76947, 72315, 1811, 102667, 30512, 20834, 127567, 114435, 20230, 125151, 39926, 72315, 1811, 102131, 127564, 39084, 109026, 17599, 112, 110226, 16556, 85188, 35330, 29295, 110226, 62004, 110071, 105879, 5486, 121568, 20230, 106222, 118788, 29295, 104908, 84389, 33541, 66383, 95604, 5486, 29504, 9458, 114435, 9458, 102159, 114754, 15120, 33014, 110276, 123141, 104856, 103836, 113334, 125651, 9174, 85701, 15682, 108031, 5486, 114172, 102512, 30512, 122617, 60868, 68759, 102803, 78525, 112990, 51330, 16, 122481, 108176, 116233, 29295, 1811, 103350, 15682, 31958, 71005, 109205, 17039, 117382, 15682, 5486, 108436, 107430, 9458, 101987, 32938, 30512, 127284, 54926, 109335, 103082, 104435, 116233, 101832, 1811, 101682, 76622, 125639, 110366, 19732, 121406, 110366, 16144, 110176, 24273, 29295, 4012, 21105, 103, 16995, 19732, 5486, 27929, 32977, 27929, 32977, 73686, 42891, 104087, 21105, 234, 118765, 1811, 26854, 105879, 5486, 114407, 30590, 123050, 29295, 105047, 95399, 20230, 107693, 103984, 84389, 101732, 113334, 38641, 9174, 567, 45631, 102669, 106106, 30512, 25580, 29172, 114267, 113146, 10646, 20230, 19967, 109115, 122502, 50834, 24273, 29295, 5486, 39442, 36785, 20230, 36668, 89753, 198, 104521, 101129, 5232, 77693, 113115, 39926, 31958, 71005, 109205, 17039, 15682, 115515, 27479, 15682, 13177, 37087, 102351, 30512, 111764, 20230, 91875, 32149, 102131, 59712, 113949, 34048, 30512, 76706, 34171, 33208, 107726, 101200, 66383, 119852, 5486, 108436, 107430, 96455, 1041, 80805, 38248, 119, 52414, 101983, 106358, 113146, 32977, 101182, 116233, 101832, 9174, 102131, 95604, 16325, 55031, 31958, 71005, 20, 116033, 5486, 48864, 44416, 102404, 52927, 102677, 118733, 1811, 29504, 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 ]
[ 16995, 100472, 117876, 16144, 605, 80805, 38248, 119, 52414, 72661, 508, 80805, 38248, 119, 52414, 72661, 5486, 37823, 102494, 84477, 47260, 119263, 78683, 102663, 38248, 115, 78205, 113883, 57933, 29220, 101335, 42634, 76428, 11972, 30512, 48154, 104908, 39926, 33655, 30297, 105908, 103082, 104984, 123085, 37087, 33014, 16144, 21990, 106518, 34171, 9458, 105509, 34171, 15682, 107850, 109526, 235, 112535, 70141, 17905, 54926, 25827, 110034, 107188, 106046, 61689, 9174, 85701, 15682, 5486, 91482, 68408, 90962, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 30512, 38093, 104760, 16144, 22324, 50834, 109033, 58942, 16144, 103846, 103378, 20230, 29172, 81742, 39926, 105898, 101275, 98220, 37087, 33014, 16144, 109606, 38641, 15024, 115408, 116907, 119448, 47884, 95543, 66870, 30512, 39926, 5486, 113727, 24273, 30512, 104721, 107800, 16, 8107, 103268, 16556, 56051, 9174, 110924, 16556, 86127, 67645, 32977, 15682, 5486, 59739, 105722, 31431, 126172, 47884, 38144, 102769, 33121, 109669, 110706, 102677, 5486, 61826, 108680, 102782, 15024, 109415, 28713, 66378, 17599, 112, 30512, 76706, 32149, 39926, 5486, 118597, 117501, 16144, 109161, 16995, 116245, 72661, 5486, 118969, 75694, 17129, 26854, 102321, 75267, 16556, 48154, 107740, 16995, 90620, 47884, 48154, 29172, 81742, 30512, 108882, 110993, 112535, 103130, 107436, 108086, 33541, 1811, 104378, 71289, 103242, 109519, 16144, 37823, 102494, 84477, 120761, 64889, 103378, 126194, 5486, 106848, 94134, 33014, 19732, 108399, 89046, 120988, 108975, 23187, 30512, 102971, 81219, 72342, 100481, 90620, 102532, 5486, 23530, 70821, 125175, 71289, 33563, 105298, 9458, 103005, 55228, 231, 5486, 114181, 101426, 72661, 48154, 107740, 16995, 90620, 16995, 101732, 31431, 9174, 37271, 15682, 114734, 16144, 91739, 241, 40526, 16556, 48154, 107740, 16995, 90620, 16995, 101732, 31431, 5486, 45923, 42634, 107060, 71289, 124131, 103927, 19732, 103214, 64121, 114146, 38144, 114407, 101275, 71289, 49792, 75267, 104309, 113245, 107740, 105352, 108285, 29295, 76947, 61689, 15024, 5486, 108895, 16995, 100472, 102321, 75267, 113245, 37823, 102494, 84477, 47260, 119263, 78683, 102663, 38248, 115, 78205, 113883, 103572, 82317, 29295, 115847, 117758, 8239, 112, 122502, 117903, 20230, 119448, 47884, 117375, 30512, 58318, 105262, 108995, 19732, 78698, 107290, 61689, 9174, 567, 121238, 76428, 102750, 22398, 76706, 11883, 19732, 108936, 33420, 106382, 30046, 70141, 76622, 30512, 110176, 80195, 56051, 26728, 198, 106150, 114896, 5232, 26728, 16144, 108031, 16, 118821, 27384, 112495, 66378, 17599, 112, 15682, 5486, 91482, 76428, 102750, 22398, 72661, 108048, 55031, 104575, 71289, 108936, 33420, 106382, 112919, 24273, 32977, 5486, 121819, 105987, 112535, 33655, 126832, 55999, 33035, 16144, 125540, 67075, 108526, 103202, 101983, 103836, 100909, 36785, 106046, 61689, 125939, 17129, 72661, 108895, 16995, 100472, 103223, 64178, 15682, 57903, 79721, 29295, 5486, 91482, 76428, 102750, 117718, 102616, 121142, 33655, 126832, 103223, 64178, 19732, 5486, 104378, 71289, 102159, 107707, 56965, 121142, 103572, 82317, 103792, 103223, 64178, 29295, 17620, 32149, 33121, 100481, 38144, 5486, 55999, 33035, 16144, 125540, 67075, 108526, 103202, 15682, 30591, 109709, 104435, 116233, 123794, 9174, 26728, 29295, 85707, 107436, 77693, 108422, 33121, 16144, 31634, 14558, 30512, 112624, 28713, 39926, 5486, 121819, 105987, 112535, 43240, 119064, 24273, 107898, 33655, 104712, 90620, 105784, 101200, 110276, 5486, 55999, 33035, 16144, 125540, 67075, 108526, 103202, 101983, 103468, 106046, 61689, 113637, 109335, 17663, 48154, 47884, 107693, 16556, 5486, 114435, 71289, 108638, 33014, 29295, 58426, 61826, 16144, 108936, 33420, 106382, 30046, 121254, 107441, 37823, 102494, 84477, 16556, 125175, 30512, 104908, 119607, 114267, 126101, 110371, 55999, 33035, 16144, 125540, 67075, 108526, 103202, 29295, 109215, 19732, 84389, 101732, 102677, 100909, 36785, 119150, 116233, 123794, 9174, 38641, 55031, 115847, 117758, 37823, 102494, 84477, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 15682, 90962, 106384, 22398, 102756, 38248, 104, 11972, 103378, 16144, 102944, 126194, 5486, 126920, 109215, 103306, 107991, 24273, 15682, 125821, 125821, 43511, 20230, 16995, 33503, 42891, 116826, 76947, 1811, 102433, 16325, 16144, 102321, 75267, 16144, 117876, 30512, 104721, 58942, 100481, 107188, 118145, 105110, 100604, 15024, 5486, 114435, 71289, 108638, 33014, 29295, 58426, 61826, 16144, 108936, 33420, 106382, 30046, 70141, 76622, 20230, 125175, 30512, 104908, 39926, 115515, 103296, 105693, 110426, 30512, 127258, 17663, 118733, 127331, 33503, 21105, 234, 102924, 60632, 117084, 123085, 37087, 33014, 16144, 8239, 112, 122502, 48634, 29295, 125821, 115289, 122279, 101983, 107462, 120816, 110034, 107188, 19732, 78698, 107290, 61689, 9174, 567, 45631, 57933, 29220, 101335, 42634, 76428, 11972, 29295, 17792, 20230, 108385, 31431, 114001, 30297, 104466, 68408, 126590, 54926, 100909, 10646, 29295, 107693, 198, 106150, 114896, 5232, 114435, 16556, 5486, 67016, 32977, 90962, 106384, 22398, 102756, 38248, 104, 38248, 226, 90962, 106384, 22398, 121142, 107740, 110731, 107803, 16144, 64810, 123283, 37823, 103906, 16144, 113727, 24273, 20230, 21601, 107290, 106116, 61826, 16144, 108936, 33420, 106382, 30046, 19732, 59739, 26854, 104699, 104856, 104533, 5486, 16937, 66378, 23187, 43240, 9039, 120332, 29295, 107740, 54926, 100909, 115717, 33541, 105879, 115515, 103296, 71689, 16144, 64810, 123283, 37823, 103906, 16144, 55487, 101557, 106, 29295, 109215, 115717, 33541, 109900, 20230, 61826, 108680, 102782, 15024, 109415, 28713, 105933, 102321, 75267, 77181, 5486, 62903, 125024, 65575, 124905, 78183, 103470, 111243, 107740, 30046, 29295, 104736, 110322, 108608, 105933, 49792, 101908, 32977, 109215, 117084, 17129, 16995, 31431, 33541, 9174, 37, 28729, 71289, 1669, 18082, 110162, 121906, 16995, 100472, 64810, 123283, 37823, 103906, 123782, 20230, 107253, 26955, 254, 54926, 104468, 40265, 115926, 123628, 100909, 105321, 119627, 5486, 109161, 37689, 16144, 101182, 110284, 30046, 30512, 47260, 52414, 42634, 64178, 56051, 31431, 5486, 61056, 21418, 56051, 31431, 109900, 55031, 5486, 30177, 106307, 108608, 60868, 112164, 115247, 29504, 30512, 44416, 109088, 56051, 31431, 5486, 110284, 30046, 29295, 67645, 16144, 29504, 126328, 17701, 76947, 104712, 123682, 32977, 5486, 67645, 16144, 29504, 126328, 17701, 110615, 102677, 44416, 109088, 123410, 9174, 102131, 16995, 100472, 109215, 115991, 33541, 15024, 5486, 79785, 71174, 71289, 115592, 102540, 16073, 102895, 67075, 15682, 5486, 47260, 93298, 107001, 106592, 25580, 29172, 116446, 10110, 22398, 102803, 45923, 16144, 7705, 65917, 17297, 120950, 108950, 123772, 121432, 16556, 5486, 67645, 16144, 110284, 30046, 55031, 47260, 93298, 103646, 32149, 29295, 104862, 122561, 108608, 121906, 16995, 100472, 109215, 34171, 32977, 20834, 38144, 17129, 16995, 31431, 33541, 1811, 108895, 16995, 100472, 64810, 123283, 37823, 103906, 16144, 109606, 105352, 117271, 54926, 109215, 107407, 104865, 26854, 106046, 61689, 9174, 90620, 5486, 108895, 95604, 57933, 29220, 101335, 42634, 76428, 11972, 124905, 16995, 22957, 26854, 17663, 124122, 68408, 76428, 122258, 17792, 103234, 30512, 105184, 33563, 54926, 110162, 5486, 101662, 13153, 123410, 102677, 104760, 105242, 29295, 114652, 57903, 33541, 123682, 32977, 1811, 114754, 57933, 29220, 101335, 42634, 76428, 11972, 124905, 16995, 22957, 26854, 102131, 19732, 28194, 106, 119895, 54926, 16144, 126194, 38144, 5486, 57933, 29220, 101335, 42634, 76428, 11972, 29295, 17792, 20230, 108385, 31431, 114001, 30297, 104466, 68408, 126590, 54926, 118733, 5486, 125821, 43240, 119064, 101083, 31640, 71289, 104654, 83799, 107328, 120332, 29295, 115289, 122279, 20230, 122502, 47884, 105908, 108608, 101200, 108176, 1811, 102131, 16995, 100472, 115789, 115408, 67645, 32977, 15682, 107693, 118816, 78698, 107290, 108086, 17129, 39926, 9174, 102131, 54926, 118733, 5486, 106848, 17792, 103234, 71289, 108502, 104698, 30046, 25132, 229, 11883, 110162, 108048, 55031, 101662, 116581, 9458, 75910, 106528, 30512, 21105, 103, 29295, 120577, 115289, 122279, 26854, 122502, 50834, 24273, 5486, 8239, 112, 122502, 37689, 111654, 16144, 101182, 24273, 29295, 108285, 47884, 76706, 109526, 235, 108608, 101200, 101983, 104533, 78698, 107290, 61689, 1811, 71689, 38641, 9174, 104521, 101129, 5232, 97135, 61689, 9174, 567, 121238, 76428, 102750, 22398, 70141, 76622, 19732, 109713, 107271, 108941, 11972, 70141, 76622, 5486, 110176, 24273, 30512, 13153, 21105, 230, 28713, 114667, 107118, 198, 104521, 101129, 5232, 106150, 114896, 98369, 20230, 16, 59739, 48154, 105284, 99397, 56051, 16995, 104468, 108948, 42891, 116826, 30369, 104466, 17, 59739, 118322, 66378, 17599, 112, 16144, 13177, 91482, 76428, 102750, 22398, 9458, 109713, 107271, 108941, 11972, 55999, 33035, 113245, 125540, 67075, 108526, 103202, 126557, 105184, 111201, 8429, 30512, 117876, 16556, 33655, 30297, 104856, 104533, 124563, 107188, 32149, 122543, 102677, 16325, 16556, 124563, 104127, 26728, 15682, 110176, 24273, 30512, 13153, 21105, 230, 104702, 100472, 25827, 112130, 101832, 11571, 10110, 49838, 75376, 58426, 106613, 100783, 107, 71289, 114667, 102677, 32149, 120953, 95604, 120098, 29295, 65299, 102663, 28713, 104865, 1811, 119361, 114896, 5232, 107188, 31431, 109933, 111999, 76428, 115991, 17129, 39926, 1811, 126843, 5486, 33655, 114774, 17663, 30813, 30512, 104862, 32018, 107113, 105879, 5486, 125261, 105067, 104322, 33420, 106382, 112919, 24273, 16144, 107740, 15682, 103856, 47884, 17792, 116499, 20834, 28713, 116233, 123682, 32977, 1811, 71289, 15682, 31431, 5486, 114435, 113245, 64810, 123283, 37823, 103906, 16144, 106154, 31431, 24273, 102677, 16144, 19732, 5486, 964, 10110, 40452, 30046, 120732, 16995, 100604, 102159, 107707, 24273, 16144, 64810, 123283, 37823, 103906, 16144, 106154, 31431, 24273, 15682, 117864, 47884, 103283, 53953, 16556, 109900, 30512, 105107, 25446, 107809, 109156, 104028, 102677, 109933, 111999, 76428, 30512, 5486, 86436, 8107, 15682, 107188, 31431, 71289, 100472, 116233, 101832, 1811, 114147, 101129, 5232, 102416, 11972, 6447, 119361, 114896, 5232, 110924, 29295, 27384, 112495, 109933, 111999, 76428, 16556, 56051, 1811, 114147, 101129, 5232, 102131, 95604, 115552, 16556, 5486, 33122, 11883, 107740, 16144, 104983, 16144, 109606, 28542, 5486, 30813, 121381, 16144, 64810, 123283, 37823, 103906, 16144, 14558, 110162, 29295, 107188, 31431, 29220, 104612, 110731, 105879, 5486, 114435, 113245, 106839, 17701, 29295, 50834, 43514, 127842, 103130, 102189, 19732, 1811, 119361, 114896, 5232, 58426, 19732, 108086, 125651, 1811, 114147, 101129, 5232, 109020, 108680, 5486, 97135, 61689, 1811, 17663, 48154, 47884, 53508, 231, 104195, 115717, 33541, 1811, 104446, 30591, 5486, 106307, 102532, 86127, 55031, 1811, 102131, 95604, 115552, 77181, 36896, 122502, 50834, 24273, 66383, 117952, 104028, 19732, 5486, 36785, 102334, 16995, 33334, 71174, 29295, 32149, 117295, 101200, 101983, 103836, 107059, 65299, 45923, 102756, 105048, 22398, 119627, 1811, 26728, 98369, 19732, 126419, 16556, 605, 8107, 30832, 108176, 107059, 65299, 45923, 102756, 105048, 22398, 55031, 5486, 605, 8107, 107809, 16556, 104405, 8239, 112, 122502, 117903, 104088, 100934, 32149, 102677, 33334, 87177, 30512, 115408, 55031, 103082, 104984, 106046, 76947, 61689, 9174, 567, 117826, 31640, 106222, 16144, 102433, 15682, 13177, 29504, 9458, 114435, 9458, 121568, 10646, 29295, 15120, 33014, 101983, 103836, 198, 104521, 101129, 5232, 37046, 104680, 15682, 37271, 5486, 10617, 32307, 107707, 107059, 65299, 45923, 102756, 38248, 104, 11972, 19732, 5728, 32307, 61337, 16144, 29220, 102803, 39880, 52414, 29295, 5486, 126920, 31809, 65316, 117876, 118816, 5486, 16, 11, 931, 35757, 55031, 17905, 15682, 1041, 110743, 71289, 1049, 110743, 102083, 100472, 102944, 30512, 110191, 118372, 16556, 124807, 44971, 110548, 20230, 121568, 19732, 114435, 29295, 71289, 31431, 108167, 30512, 103792, 1811, 107943, 125540, 67075, 108526, 103202, 115717, 33541, 9174, 104603, 41758, 102756, 105048, 76947, 115515, 112987, 85791, 16995, 85791, 109606, 28542, 110162, 32977, 64467, 112419, 116216, 61689, 29295, 115847, 15682, 37656, 61337, 102351, 16144, 123141, 16144, 122060, 68408, 84477, 118816, 78698, 107290, 61689, 1811, 37656, 61337, 102351, 29295, 64531, 104874, 103646, 104468, 5486, 102669, 74482, 6393, 20, 8107, 30512, 105335, 84477, 117408, 16325, 16556, 4767, 8107, 107517, 100472, 123141, 30512, 5486, 105647, 124955, 25333, 29295, 1758, 8107, 112772, 122060, 68408, 84477, 119607, 103306, 5486, 9953, 110726, 10110, 49, 6430, 7705, 115226, 26854, 32149, 105459, 124911, 103234, 20230, 9174, 104603, 41758, 102756, 105048, 10110, 21243, 824, 1005, 7705, 71289, 110191, 68408, 68759, 102860, 16556, 17792, 103234, 29295, 33655, 105262, 102677, 16144, 30512, 5486, 110382, 605, 8107, 71289, 103836, 1811, 26854, 105879, 5486, 37656, 61337, 102351, 16144, 104405, 16995, 100472, 124858, 107407, 32149, 30512, 123011, 107436, 64121, 38144, 33541, 9174, 117952, 101860, 32977, 29295, 26854, 119627, 123085, 15682, 102159, 114754, 102667, 30512, 20834, 127567, 114435, 20230, 125151, 30512, 39926, 36896, 64121, 103171, 102667, 120650, 76947, 72315, 1811, 102667, 30512, 20834, 127567, 114435, 20230, 125151, 39926, 72315, 1811, 102131, 127564, 39084, 109026, 17599, 112, 110226, 16556, 85188, 35330, 29295, 110226, 62004, 110071, 105879, 5486, 121568, 20230, 106222, 118788, 29295, 104908, 84389, 33541, 66383, 95604, 5486, 29504, 9458, 114435, 9458, 102159, 114754, 15120, 33014, 110276, 123141, 104856, 103836, 113334, 125651, 9174, 85701, 15682, 108031, 5486, 114172, 102512, 30512, 122617, 60868, 68759, 102803, 78525, 112990, 51330, 16, 122481, 108176, 116233, 29295, 1811, 103350, 15682, 31958, 71005, 109205, 17039, 117382, 15682, 5486, 108436, 107430, 9458, 101987, 32938, 30512, 127284, 54926, 109335, 103082, 104435, 116233, 101832, 1811, 101682, 76622, 125639, 110366, 19732, 121406, 110366, 16144, 110176, 24273, 29295, 4012, 21105, 103, 16995, 19732, 5486, 27929, 32977, 27929, 32977, 73686, 42891, 104087, 21105, 234, 118765, 1811, 26854, 105879, 5486, 114407, 30590, 123050, 29295, 105047, 95399, 20230, 107693, 103984, 84389, 101732, 113334, 38641, 9174, 567, 45631, 102669, 106106, 30512, 25580, 29172, 114267, 113146, 10646, 20230, 19967, 109115, 122502, 50834, 24273, 29295, 5486, 39442, 36785, 20230, 36668, 89753, 198, 104521, 101129, 5232, 77693, 113115, 39926, 31958, 71005, 109205, 17039, 15682, 115515, 27479, 15682, 13177, 37087, 102351, 30512, 111764, 20230, 91875, 32149, 102131, 59712, 113949, 34048, 30512, 76706, 34171, 33208, 107726, 101200, 66383, 119852, 5486, 108436, 107430, 96455, 1041, 80805, 38248, 119, 52414, 101983, 106358, 113146, 32977, 101182, 116233, 101832, 9174, 102131, 95604, 16325, 55031, 31958, 71005, 20, 116033, 5486, 48864, 44416, 102404, 52927, 102677, 118733, 1811, 29504, 33014 ]
[ 121930, 20230, 75146, 109669, 102334, 113797, 101538, 13841, 246, 8192, 115, 5486, 40265, 39177, 15682, 102508, 102, 48154, 19732, 20230, 17620, 32149, 106824, 66953, 32131, 66953, 32131, 103351, 37689, 91774, 30512, 5486, 104959, 73361, 32218, 104195, 113115, 108324, 54926, 113009, 5486, 29504, 33014, 121930, 16556, 36827, 105600, 30512, 104356, 103306, 71289, 103950, 102677, 32149, 105459, 16556, 1811, 27929, 51330, 118729, 29295, 39135, 127919, 47884, 31809, 104575, 104378, 20230, 95543, 106482, 110731, 105879, 5486, 103472, 104542, 120950, 104378, 29295, 25580, 29172, 101983, 107462, 104533, 9174, 110924, 55031, 102669, 106106, 120650, 47884, 20230, 56051, 29295, 76947, 5486, 105469, 29504, 104195, 104443, 30512, 124858, 20230, 5486, 105212, 36668, 106839, 16144, 107430, 103438, 33563, 117126, 20230, 127284, 109768, 50834, 79721, 1811, 103350, 15682, 5486, 102669, 106106, 16144, 17599, 112, 104443, 30512, 124957, 112535, 109134, 113009, 5486, 106222, 118788, 114305, 15682, 64531, 104874, 84389, 100481, 100472, 102677, 124858, 29295, 123231, 9174, 101402, 50211, 106390, 102669, 106106, 16144, 89151, 42891, 92780, 16325, 16556, 5486, 102669, 106106, 120650, 47884, 17792, 19732, 104443, 32648, 30512, 105107, 67178, 54926, 17792, 30512, 105184, 33563, 21105, 103, 16995, 102083, 124324, 105879, 5486, 29504, 71289, 112950, 8239, 112, 66870, 29295, 15120, 104063, 16556, 17039, 124305, 16144, 83812, 225, 35330, 30512, 104662, 109315, 116233, 101832, 1811, 8107, 16, 18904, 16144, 23187, 23538, 123716, 110698, 32977, 58426, 126101, 23187, 17129, 76947, 61689, 1811, 56906, 107430, 35330, 32977, 46456, 110698, 54926, 55031, 36896, 51330, 108695, 20230, 125151, 15024, 85791, 66383, 95604, 106592, 29504, 29295, 84851, 28194, 101, 54926, 102677, 5486, 83812, 225, 35330, 114305, 16144, 105156, 15120, 32977, 51330, 107507, 101198, 94550, 16556, 23039, 78183, 106824, 61689, 9174, 26854, 105879, 115515, 16144, 51330, 122502, 50834, 24273, 16144, 123141, 15682, 5486, 103350, 15682, 102669, 106106, 30512, 25580, 29172, 114267, 113146, 20230, 19967, 109115, 123141, 105321, 125651, 1811, 26854, 105879, 5486, 40265, 125344, 82420, 55723, 112535, 29504, 29295, 113404, 30512, 39926, 82420, 55723, 112535, 102404, 77413, 123410, 113146, 55031, 5486, 1691, 126241, 15682, 37087, 33014, 106613, 111587, 29295, 123332, 31809, 116216, 108086, 5486, 122502, 50834, 24273, 30512, 105994, 16556, 102647, 81219, 100604, 102083, 124324, 1811, 114435, 29295, 30591, 33503, 106644, 30369, 106592, 33563, 110322, 54926, 123141, 77181, 123733, 76947, 50834, 100934, 102677, 100909, 125651, 9174, 567, 106030, 78349, 39880, 76739, 47260, 126067, 15682, 5486, 103350, 15682, 102491, 47884, 55031, 48706, 107113, 198, 104521, 101129, 5232, 56438, 102677, 105879, 5486, 37046, 104680, 15682, 110191, 68408, 68759, 102860, 16556, 16995, 85791, 103171, 102944, 30512, 104908, 54926, 122908, 39880, 76739, 47260, 10110, 122908, 39880, 122835, 76739, 47260, 101335, 101198, 11972, 7705, 102677, 101275, 98220, 20230, 61689, 29295, 5486, 122908, 39880, 76739, 47260, 76947, 104446, 30591, 108064, 55031, 11571, 220, 107943, 20230, 17039, 102800, 102944, 26854, 104865, 11571, 220, 102677, 118733, 16995, 126145, 5486, 103350, 15682, 56438, 102677, 114172, 102512, 32977, 106518, 101275, 125981, 71289, 103087, 22656, 121930, 19732, 28741, 30177, 114556, 78183, 76947, 102532, 9174, 11256, 15, 116358, 86127, 19361, 112686, 106518, 44416, 5486, 101182, 16995, 15682, 10562, 15, 116358, 106518, 101275, 125981, 16556, 5486, 16, 17792, 16, 102159, 53953, 114792, 59739, 105908, 110008, 116216, 1811, 16, 17792, 16, 102159, 53953, 114792, 59739, 100909, 113468, 33420, 106382, 30512, 115079, 71289, 39926, 5486, 106613, 111587, 30512, 76706, 34171, 33208, 124545, 123141, 16556, 5486, 1049, 8107, 104699, 110706, 16144, 102944, 105321, 125651, 109900, 117382, 15682, 5486, 118522, 112686, 16556, 114754, 127331, 33503, 17663, 104468, 57237, 110993, 40265, 115926, 25580, 103351, 1811, 59739, 109709, 122908, 39880, 76739, 47260, 29295, 17039, 102800, 16144, 126194, 5486, 56438, 29295, 15120, 39177, 109904, 126067, 103351, 125396, 107407, 106046, 76947, 61689, 9174, 112599, 15682, 106518, 101275, 125981, 23897, 104989, 5486, 112756, 7190, 96, 106613, 111587, 117084, 104405, 26854, 103836, 32149, 102677, 19732, 123085, 16144, 68759, 102750, 47307, 37823, 25005, 247, 61398, 102677, 108948, 35330, 29295, 67645, 33121, 104699, 110706, 114601, 109115, 32149, 102677, 64467, 105888, 29295, 115515, 15682, 36785, 102334, 16995, 605, 8107, 16556, 21, 98406, 101983, 103836, 116233, 101832, 1811, 102433, 35757, 76947, 10110, 605, 8107, 25580, 126036, 7705, 21, 98406, 114601, 102204, 100481, 38144, 5486, 89753, 33035, 107407, 102677, 100909, 38641, 1811, 109860, 5486, 53953, 16144, 112603, 38574, 15682, 21, 98406, 101983, 107462, 100604, 19732, 33334, 32149, 102800, 116233, 101832, 9174, 102131, 95604, 16325, 16556, 5486, 65917, 110366, 16144, 115274, 110698, 58318, 15682, 605, 8107, 16556, 109203, 81219, 16995, 101983, 103836, 1811, 108618, 31431, 20, 98406, 16144, 114601, 109115, 33334, 35330, 15682, 116414, 120650, 103836, 32149, 102677, 104468, 5486, 108729, 9554, 102052, 126330, 46729, 20230, 18904, 103836, 116233, 101832, 1811, 106518, 101275, 125981, 23897, 104989, 115847, 10110, 22398, 102803, 45923, 119735, 65917, 29295, 82973, 100818, 116, 16556, 5486, 102057, 99, 100818, 116, 29295, 32938, 50928, 16144, 104364, 108176, 116233, 123682, 32977, 1811, 10562, 15, 8107, 23897, 104989, 16556, 5486, 80631, 100, 105469, 16144, 104364, 15682, 108031, 26955, 94, 27384, 112028, 108968, 30512, 28713, 67645, 103836, 113334, 125651, 9174, 26854, 105879, 36896, 8239, 112, 122502, 30046, 29295, 21990, 106518, 56051, 105107, 25446, 16144, 103359, 95001, 15682, 103087, 22656, 46729, 16144, 56438, 103195, 66383, 95604, 106391, 67178, 107407, 48249, 31431, 5486, 108729, 9554, 102052, 108895, 95604, 106391, 67178, 30512, 101860, 104043, 103130, 104004, 102677, 100909, 38641, 1811, 16, 80805, 38248, 119, 52414, 29295, 69978, 59739, 105469, 16144, 40862, 82420, 15682, 5486, 3076, 117913, 114754, 69978, 59739, 105469, 16144, 40862, 82420, 16144, 17, 98406, 71689, 101983, 107462, 104533, 1811, 20251, 108941, 22398, 9458, 70563, 102663, 103906, 32977, 36896, 8239, 112, 122502, 20230, 105390, 103087, 22656, 30512, 80172, 17297, 54926, 48249, 31431, 5486, 108729, 9554, 102052, 37087, 33014, 103087, 22656, 16144, 13153, 101544, 105755, 59614, 101860, 8239, 96, 74482, 54926, 66383, 95604, 106592, 78244, 103836, 113334, 38641, 9174, 567, 100844, 100, 37507, 16144, 13177, 37656, 61337, 102351, 123141, 10646, 29295, 23039, 50834, 50520, 108, 109709, 30512, 109169, 58942, 100934, 198, 104521, 101129, 5232, 26854, 105879, 5486, 104603, 41758, 102756, 105048, 15682, 106222, 37087, 33014, 29295, 32335, 109431, 33208, 54926, 115552, 16556, 5486, 112599, 16144, 37656, 61337, 102351, 123141, 77181, 111983, 119841, 123141, 30512, 37026, 104063, 112535, 122401, 15024, 5486, 105994, 16556, 102404, 77413, 109768, 113017, 104865, 26854, 19732, 122571, 104736, 109375, 39926, 102532, 1811, 103283, 20230, 107059, 65299, 45923, 102756, 105048, 22398, 29295, 71289, 100472, 55031, 104603, 41758, 102756, 105048, 29295, 102404, 77413, 103792, 113334, 126194, 38144, 5486, 37656, 61337, 102351, 123141, 29295, 27929, 32977, 27929, 32977, 37271, 5486, 23039, 50834, 50520, 108, 109709, 30512, 109169, 58942, 100934, 19732, 9174, 605, 8107, 56965, 110698, 58318, 29295, 117864, 47884, 70141, 17905, 109768, 100604, 107493, 5486, 112756, 7190, 96, 15682, 21, 98406, 16144, 33857, 101983, 103836, 1811, 37656, 61337, 102351, 15682, 114363, 101275, 30512, 104195, 16995, 125398, 102677, 32149, 105459, 125651, 118844, 113115, 39926, 5486, 107059, 65299, 45923, 102756, 105048, 22398, 30512, 27704, 62004, 117408, 104603, 41758, 102756, 105048, 15682, 5486, 108008, 20230, 39880, 122086, 22398, 29295, 119237, 26854, 81258, 101275, 101513, 38093, 30512, 104908, 103792, 1811, 107391, 104612, 30512, 108167, 114941, 17663, 105908, 108608, 105879, 5486, 106222, 16144, 59614, 61994, 105352, 26854, 103836, 104865, 26854, 106046, 76947, 61689, 9174, 101908, 16144, 103429, 95221, 16556, 122502, 126660, 102083, 76622, 123733, 100472, 105665, 118969, 29295, 5486, 29295, 25827, 81219, 76947, 102803, 103906, 94550, 112197, 117876, 16556, 8107, 110226, 4728, 110743, 20230, 103082, 115926, 110162, 1811, 101182, 16995, 15682, 5486, 2397, 97049, 110276, 37271, 5486, 126920, 106515, 72342, 30512, 112391, 100934, 102677, 57207, 114676, 120332, 125001, 33503, 42891, 116826, 100472, 31431, 1811, 115612, 26854, 22398, 62903, 33710, 15682, 104435, 107493, 5486, 119870, 64121, 20834, 39926, 64121, 38144, 57980, 102518, 102677, 24273, 110162, 5486, 107943, 24273, 29295, 107991, 113334, 38641, 9174, 30591, 19732, 5486, 106966, 101275, 112197, 87177, 16556, 5486, 127852, 107666, 109904, 109544, 103378, 33334, 91774, 72342, 56051, 16995, 26854, 119150, 116233, 29295, 1811, 117591, 20230, 125104, 103792, 13177, 107059, 65299, 45923, 116974, 22398, 66383, 95604, 106966, 101275, 16144, 125104, 124720, 107407, 116233, 29295, 115847, 29295, 76622, 42891, 108895, 17663, 48154, 16995, 100909, 117084, 102532, 9174, 103350, 15682, 108031, 5486, 102741, 117383, 5486, 12870, 116, 41401, 104371, 114601, 5486, 124981, 108958, 9458, 103857, 78525, 117383, 9458, 106901, 124535, 5486, 105469, 101559, 33035, 5486, 62903, 104930, 101335, 16073, 5486, 82281, 10110, 102433, 28713, 81219, 22957, 106518, 101275, 121450, 7705, 102083, 100472, 102433, 126636, 114435, 120332, 104680, 29295, 5486, 100818, 240, 105360, 64121, 103350, 13372, 16556, 106966, 101275, 16144, 125104, 30512, 110731, 116233, 101832, 1811, 102131, 16995, 100472, 115552, 77181, 123085, 106222, 76947, 101067, 66201, 71689, 20230, 105047, 95399, 20230, 104721, 33208, 103792, 26854, 19732, 112391, 33541, 1811, 102131, 16995, 100472, 24273, 104680, 29295, 5486, 102832, 109482, 68581, 115247, 117876, 110162, 5486, 110219, 20230, 37656, 61337, 102351, 30512, 21105, 103, 29295, 33503, 46034, 108044, 30297, 113146, 117084, 50834, 100934, 116233, 101832, 113637, 24273, 104680, 15682, 112672, 5486, 108695, 102052, 4012, 30512, 18655, 76947, 61689, 1811, 90620, 5486, 17, 80805, 102514, 16073, 30591, 76947, 9174, 13177, 108695, 16144, 4012, 30512, 18655, 103836, 107493, 5486, 120613, 15682, 90962, 106384, 123618, 102052, 20834, 30813, 100604, 16556, 101832, 66383, 95604, 16144, 19732, 36896, 90962, 106384, 123618, 117158, 120837, 104712, 57980, 66383, 95604, 5486, 17, 104091, 104770, 120332, 125001, 33503, 42891, 116826, 61689, 9174, 106966, 101275, 17792, 103234, 102677, 118733, 5486, 20251, 112673, 47307, 115681, 101918, 5486, 102741, 117383, 5486, 6542, 51, 5486, 103460, 105635, 112427, 33122, 30926, 5486, 103087, 21990, 104509, 5486, 108895, 16995, 100472, 102433, 16144, 13372, 36785, 28713, 30369, 114435, 29295, 100818, 240, 105360, 64121, 106966, 101275, 16556, 125104, 30512, 103792, 1811, 107943, 32149, 105459, 16556, 5486, 37656, 61337, 102351, 123141, 103378, 77181, 111983, 119841, 122502, 50834, 24273, 30512, 5486, 104603, 41758, 102756, 105048, 71289, 106966, 101275, 29295, 105047, 95399, 20230, 71493, 110590, 30512, 103792, 127749, 26854, 104865, 26854, 106046, 76947, 61689, 9174, 102677, 118733, 115408, 55031, 13177, 107059, 65299, 45923, 102756, 105048, 22398, 55031, 91774, 105262, 44620, 8239, 112, 122502, 117903, 16144, 104721, 107804, 36761, 10646, 102677, 110229, 126130, 87177, 21105, 243, 72342, 100481, 90620, 50834, 79721, 1811, 128001, 128000, 116696, 107060, 66953, 76171, 45923, 7, 43514, 119902, 11972, 25827, 81219, 16995, 124592, 14, 19368, 11130, 340, 77195, 30512, 112624, 28713, 56051, 7585, 9458, 112368, 114475, 76622, 104533, 89046, 120988, 29295, 116166, 54926, 121894, 16144, 100909, 1811, 101307, 89046, 120988, 121894, 107173, 9174, 99849, 33503, 116421, 89046, 120988, 80356, 114792, 59739, 7585, 9458, 112368, 9458, 114817, 83601, 248, 103198, 96, 16144, 123259, 23039, 104309, 30512, 40265, 38144, 28713, 110018, 16144, 43511, 5486, 126495, 16144, 113909, 52884, 39880, 91482, 37823, 103906, 13177, 35086, 122, 61994, 15120, 33014, 10646, 5486, 101182, 16995, 15682, 111930, 232, 31431, 121240, 13177, 54, 13, 52591, 32131, 37823, 116219, 10646, 29295, 51609, 16325, 56051, 110018, 114737, 20230, 47000, 58318, 107001, 9174, 53900, 5486, 124417, 1569, 100, 102472, 52414, 44971, 10, 17, 32149, 10, 18, 30512, 99741, 104874, 56051, 109163, 111199, 119126, 101559, 16144, 111234, 89154, 113155, 116219, 105352, 116696, 107060, 66953, 76171, 45923, 16144, 8239, 114503, 29295, 47000, 106161, 103792, 9174, 7585, 30512, 102456, 33503, 116285, 4977, 32977, 51330, 121894, 108176, 29295, 5486, 106826, 108337, 22398, 108901, 40053, 119775, 111090, 109713, 29295, 52563, 107001, 113334, 126194, 5486, 123274, 109904, 121894, 104721, 33208, 101983, 103836, 113637, 28542, 77181, 20251, 44971, 102040, 16073, 20230, 60358, 16995, 9174, 51330, 121894, 16144, 114737, 20230, 77195, 30512, 112624, 28713, 56051, 111234, 89154, 107446, 62903, 33710, 71289, 112368, 10110, 112193, 113335, 78349, 107060, 38129, 125344, 118656, 39276, 103271, 112368, 5486, 110441, 36827, 91875, 30590, 16144, 46028, 38129, 125344, 102097, 124121, 112368, 104309, 7705, 30512, 40265, 38144, 104533, 89046, 120988, 29295, 116166, 54926, 9174, 104622, 61826, 110480, 25129, 15682, 7585, 9458, 112368, 50667, 111848, 116696, 107060, 66953, 76171, 45923, 83354, 39880, 91482, 37823, 103906, 111848, 116696, 107060, 66953, 76171, 45923, 117084, 108086, 5486, 27452, 116285, 7585, 38129, 74245, 123090, 54, 13, 52591, 32131, 37823, 116219, 30512, 5877, 102, 50834, 104526, 25827, 72661, 13177, 8239, 114503, 110214, 10646, 108176, 9174, 51330, 121894, 30512, 113801, 125119, 17663, 118639, 29295, 7585, 9458, 112368, 50667, 16144, 126465, 109853, 15682, 11144, 89046, 120988, 11199, 16144, 105904, 126250, 50338, 108323, 54926, 1811, 88852, 77181, 115132, 91482, 37823, 103906, 113468, 113801, 125119, 107001, 116696, 107060, 66953, 76171, 45923, 109853, 50338, 108323, 54926, 9174, 111930, 232, 31431, 121240, 54, 13, 52591, 32131, 37823, 116219, 16144, 107803, 5486, 7585, 16144, 69978, 59739, 44971, 115882, 16, 89046, 120988, 80356, 16144, 26854, 32149, 16556, 32335, 32977, 104622, 61826, 110480, 25129, 16144, 126574, 102944, 115847, 29295, 198, 44971, 115882, 16, 89046, 120988, 80356, 114792, 28713, 100604, 7585, 77181, 5486, 89046, 120988, 15682, 102404, 91875, 21105, 103, 16995, 9174, 53900, 126495, 16144, 113909, 52884, 39880, 91482, 37823, 103906, 35086, 122, 61994, 15120, 33014, 77181, 89046, 120988, 80356, 29295, 108901, 26854, 31431, 74857, 18, 89046, 120988, 32977, 102404, 91875, 54926, 101200, 101983, 103836, 9174, 123274, 9554, 102052, 30591, 28713, 32149, 32977, 20251, 22398 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 121930, 20230, 75146, 109669, 102334, 113797, 101538, 13841, 246, 8192, 115, 5486, 40265, 39177, 15682, 102508, 102, 48154, 19732, 20230, 17620, 32149, 106824, 66953, 32131, 66953, 32131, 103351, 37689, 91774, 30512, 5486, 104959, 73361, 32218, 104195, 113115, 108324, 54926, 113009, 5486, 29504, 33014, 121930, 16556, 36827, 105600, 30512, 104356, 103306, 71289, 103950, 102677, 32149, 105459, 16556, 1811, 27929, 51330, 118729, 29295, 39135, 127919, 47884, 31809, 104575, 104378, 20230, 95543, 106482, 110731, 105879, 5486, 103472, 104542, 120950, 104378, 29295, 25580, 29172, 101983, 107462, 104533, 9174, 110924, 55031, 102669, 106106, 120650, 47884, 20230, 56051, 29295, 76947, 5486, 105469, 29504, 104195, 104443, 30512, 124858, 20230, 5486, 105212, 36668, 106839, 16144, 107430, 103438, 33563, 117126, 20230, 127284, 109768, 50834, 79721, 1811, 103350, 15682, 5486, 102669, 106106, 16144, 17599, 112, 104443, 30512, 124957, 112535, 109134, 113009, 5486, 106222, 118788, 114305, 15682, 64531, 104874, 84389, 100481, 100472, 102677, 124858, 29295, 123231, 9174, 101402, 50211, 106390, 102669, 106106, 16144, 89151, 42891, 92780, 16325, 16556, 5486, 102669, 106106, 120650, 47884, 17792, 19732, 104443, 32648, 30512, 105107, 67178, 54926, 17792, 30512, 105184, 33563, 21105, 103, 16995, 102083, 124324, 105879, 5486, 29504, 71289, 112950, 8239, 112, 66870, 29295, 15120, 104063, 16556, 17039, 124305, 16144, 83812, 225, 35330, 30512, 104662, 109315, 116233, 101832, 1811, 8107, 16, 18904, 16144, 23187, 23538, 123716, 110698, 32977, 58426, 126101, 23187, 17129, 76947, 61689, 1811, 56906, 107430, 35330, 32977, 46456, 110698, 54926, 55031, 36896, 51330, 108695, 20230, 125151, 15024, 85791, 66383, 95604, 106592, 29504, 29295, 84851, 28194, 101, 54926, 102677, 5486, 83812, 225, 35330, 114305, 16144, 105156, 15120, 32977, 51330, 107507, 101198, 94550, 16556, 23039, 78183, 106824, 61689, 9174, 26854, 105879, 115515, 16144, 51330, 122502, 50834, 24273, 16144, 123141, 15682, 5486, 103350, 15682, 102669, 106106, 30512, 25580, 29172, 114267, 113146, 20230, 19967, 109115, 123141, 105321, 125651, 1811, 26854, 105879, 5486, 40265, 125344, 82420, 55723, 112535, 29504, 29295, 113404, 30512, 39926, 82420, 55723, 112535, 102404, 77413, 123410, 113146, 55031, 5486, 1691, 126241, 15682, 37087, 33014, 106613, 111587, 29295, 123332, 31809, 116216, 108086, 5486, 122502, 50834, 24273, 30512, 105994, 16556, 102647, 81219, 100604, 102083, 124324, 1811, 114435, 29295, 30591, 33503, 106644, 30369, 106592, 33563, 110322, 54926, 123141, 77181, 123733, 76947, 50834, 100934, 102677, 100909, 125651, 9174, 567, 106030, 78349, 39880, 76739, 47260, 126067, 15682, 5486, 103350, 15682, 102491, 47884, 55031, 48706, 107113, 198, 104521, 101129, 5232, 56438, 102677, 105879, 5486, 37046, 104680, 15682, 110191, 68408, 68759, 102860, 16556, 16995, 85791, 103171, 102944, 30512, 104908, 54926, 122908, 39880, 76739, 47260, 10110, 122908, 39880, 122835, 76739, 47260, 101335, 101198, 11972, 7705, 102677, 101275, 98220, 20230, 61689, 29295, 5486, 122908, 39880, 76739, 47260, 76947, 104446, 30591, 108064, 55031, 11571, 220, 107943, 20230, 17039, 102800, 102944, 26854, 104865, 11571, 220, 102677, 118733, 16995, 126145, 5486, 103350, 15682, 56438, 102677, 114172, 102512, 32977, 106518, 101275, 125981, 71289, 103087, 22656, 121930, 19732, 28741, 30177, 114556, 78183, 76947, 102532, 9174, 11256, 15, 116358, 86127, 19361, 112686, 106518, 44416, 5486, 101182, 16995, 15682, 10562, 15, 116358, 106518, 101275, 125981, 16556, 5486, 16, 17792, 16, 102159, 53953, 114792, 59739, 105908, 110008, 116216, 1811, 16, 17792, 16, 102159, 53953, 114792, 59739, 100909, 113468, 33420, 106382, 30512, 115079, 71289, 39926, 5486, 106613, 111587, 30512, 76706, 34171, 33208, 124545, 123141, 16556, 5486, 1049, 8107, 104699, 110706, 16144, 102944, 105321, 125651, 109900, 117382, 15682, 5486, 118522, 112686, 16556, 114754, 127331, 33503, 17663, 104468, 57237, 110993, 40265, 115926, 25580, 103351, 1811, 59739, 109709, 122908, 39880, 76739, 47260, 29295, 17039, 102800, 16144, 126194, 5486, 56438, 29295, 15120, 39177, 109904, 126067, 103351, 125396, 107407, 106046, 76947, 61689, 9174, 112599, 15682, 106518, 101275, 125981, 23897, 104989, 5486, 112756, 7190, 96, 106613, 111587, 117084, 104405, 26854, 103836, 32149, 102677, 19732, 123085, 16144, 68759, 102750, 47307, 37823, 25005, 247, 61398, 102677, 108948, 35330, 29295, 67645, 33121, 104699, 110706, 114601, 109115, 32149, 102677, 64467, 105888, 29295, 115515, 15682, 36785, 102334, 16995, 605, 8107, 16556, 21, 98406, 101983, 103836, 116233, 101832, 1811, 102433, 35757, 76947, 10110, 605, 8107, 25580, 126036, 7705, 21, 98406, 114601, 102204, 100481, 38144, 5486, 89753, 33035, 107407, 102677, 100909, 38641, 1811, 109860, 5486, 53953, 16144, 112603, 38574, 15682, 21, 98406, 101983, 107462, 100604, 19732, 33334, 32149, 102800, 116233, 101832, 9174, 102131, 95604, 16325, 16556, 5486, 65917, 110366, 16144, 115274, 110698, 58318, 15682, 605, 8107, 16556, 109203, 81219, 16995, 101983, 103836, 1811, 108618, 31431, 20, 98406, 16144, 114601, 109115, 33334, 35330, 15682, 116414, 120650, 103836, 32149, 102677, 104468, 5486, 108729, 9554, 102052, 126330, 46729, 20230, 18904, 103836, 116233, 101832, 1811, 106518, 101275, 125981, 23897, 104989, 115847, 10110, 22398, 102803, 45923, 119735, 65917, 29295, 82973, 100818, 116, 16556, 5486, 102057, 99, 100818, 116, 29295, 32938, 50928, 16144, 104364, 108176, 116233, 123682, 32977, 1811, 10562, 15, 8107, 23897, 104989, 16556, 5486, 80631, 100, 105469, 16144, 104364, 15682, 108031, 26955, 94, 27384, 112028, 108968, 30512, 28713, 67645, 103836, 113334, 125651, 9174, 26854, 105879, 36896, 8239, 112, 122502, 30046, 29295, 21990, 106518, 56051, 105107, 25446, 16144, 103359, 95001, 15682, 103087, 22656, 46729, 16144, 56438, 103195, 66383, 95604, 106391, 67178, 107407, 48249, 31431, 5486, 108729, 9554, 102052, 108895, 95604, 106391, 67178, 30512, 101860, 104043, 103130, 104004, 102677, 100909, 38641, 1811, 16, 80805, 38248, 119, 52414, 29295, 69978, 59739, 105469, 16144, 40862, 82420, 15682, 5486, 3076, 117913, 114754, 69978, 59739, 105469, 16144, 40862, 82420, 16144, 17, 98406, 71689, 101983, 107462, 104533, 1811, 20251, 108941, 22398, 9458, 70563, 102663, 103906, 32977, 36896, 8239, 112, 122502, 20230, 105390, 103087, 22656, 30512, 80172, 17297, 54926, 48249, 31431, 5486, 108729, 9554, 102052, 37087, 33014, 103087, 22656, 16144, 13153, 101544, 105755, 59614, 101860, 8239, 96, 74482, 54926, 66383, 95604, 106592, 78244, 103836, 113334, 38641, 9174, 567, 100844, 100, 37507, 16144, 13177, 37656, 61337, 102351, 123141, 10646, 29295, 23039, 50834, 50520, 108, 109709, 30512, 109169, 58942, 100934, 198, 104521, 101129, 5232, 26854, 105879, 5486, 104603, 41758, 102756, 105048, 15682, 106222, 37087, 33014, 29295, 32335, 109431, 33208, 54926, 115552, 16556, 5486, 112599, 16144, 37656, 61337, 102351, 123141, 77181, 111983, 119841, 123141, 30512, 37026, 104063, 112535, 122401, 15024, 5486, 105994, 16556, 102404, 77413, 109768, 113017, 104865, 26854, 19732, 122571, 104736, 109375, 39926, 102532, 1811, 103283, 20230, 107059, 65299, 45923, 102756, 105048, 22398, 29295, 71289, 100472, 55031, 104603, 41758, 102756, 105048, 29295, 102404, 77413, 103792, 113334, 126194, 38144, 5486, 37656, 61337, 102351, 123141, 29295, 27929, 32977, 27929, 32977, 37271, 5486, 23039, 50834, 50520, 108, 109709, 30512, 109169, 58942, 100934, 19732, 9174, 605, 8107, 56965, 110698, 58318, 29295, 117864, 47884, 70141, 17905, 109768, 100604, 107493, 5486, 112756, 7190, 96, 15682, 21, 98406, 16144, 33857, 101983, 103836, 1811, 37656, 61337, 102351, 15682, 114363, 101275, 30512, 104195, 16995, 125398, 102677, 32149, 105459, 125651, 118844, 113115, 39926, 5486, 107059, 65299, 45923, 102756, 105048, 22398, 30512, 27704, 62004, 117408, 104603, 41758, 102756, 105048, 15682, 5486, 108008, 20230, 39880, 122086, 22398, 29295, 119237, 26854, 81258, 101275, 101513, 38093, 30512, 104908, 103792, 1811, 107391, 104612, 30512, 108167, 114941, 17663, 105908, 108608, 105879, 5486, 106222, 16144, 59614, 61994, 105352, 26854, 103836, 104865, 26854, 106046, 76947, 61689, 9174, 101908, 16144, 103429, 95221, 16556, 122502, 126660, 102083, 76622, 123733, 100472, 105665, 118969, 29295, 5486, 29295, 25827, 81219, 76947, 102803, 103906, 94550, 112197, 117876, 16556, 8107, 110226, 4728, 110743, 20230, 103082, 115926, 110162, 1811, 101182, 16995, 15682, 5486, 2397, 97049, 110276, 37271, 5486, 126920, 106515, 72342, 30512, 112391, 100934, 102677, 57207, 114676, 120332, 125001, 33503, 42891, 116826, 100472, 31431, 1811, 115612, 26854, 22398, 62903, 33710, 15682, 104435, 107493, 5486, 119870, 64121, 20834, 39926, 64121, 38144, 57980, 102518, 102677, 24273, 110162, 5486, 107943, 24273, 29295, 107991, 113334, 38641, 9174, 30591, 19732, 5486, 106966, 101275, 112197, 87177, 16556, 5486, 127852, 107666, 109904, 109544, 103378, 33334, 91774, 72342, 56051, 16995, 26854, 119150, 116233, 29295, 1811, 117591, 20230, 125104, 103792, 13177, 107059, 65299, 45923, 116974, 22398, 66383, 95604, 106966, 101275, 16144, 125104, 124720, 107407, 116233, 29295, 115847, 29295, 76622, 42891, 108895, 17663, 48154, 16995, 100909, 117084, 102532, 9174, 103350, 15682, 108031, 5486, 102741, 117383, 5486, 12870, 116, 41401, 104371, 114601, 5486, 124981, 108958, 9458, 103857, 78525, 117383, 9458, 106901, 124535, 5486, 105469, 101559, 33035, 5486, 62903, 104930, 101335, 16073, 5486, 82281, 10110, 102433, 28713, 81219, 22957, 106518, 101275, 121450, 7705, 102083, 100472, 102433, 126636, 114435, 120332, 104680, 29295, 5486, 100818, 240, 105360, 64121, 103350, 13372, 16556, 106966, 101275, 16144, 125104, 30512, 110731, 116233, 101832, 1811, 102131, 16995, 100472, 115552, 77181, 123085, 106222, 76947, 101067, 66201, 71689, 20230, 105047, 95399, 20230, 104721, 33208, 103792, 26854, 19732, 112391, 33541, 1811, 102131, 16995, 100472, 24273, 104680, 29295, 5486, 102832, 109482, 68581, 115247, 117876, 110162, 5486, 110219, 20230, 37656, 61337, 102351, 30512, 21105, 103, 29295, 33503, 46034, 108044, 30297, 113146, 117084, 50834, 100934, 116233, 101832, 113637, 24273, 104680, 15682, 112672, 5486, 108695, 102052, 4012, 30512, 18655, 76947, 61689, 1811, 90620, 5486, 17, 80805, 102514, 16073, 30591, 76947, 9174, 13177, 108695, 16144, 4012, 30512, 18655, 103836, 107493, 5486, 120613, 15682, 90962, 106384, 123618, 102052, 20834, 30813, 100604, 16556, 101832, 66383, 95604, 16144, 19732, 36896, 90962, 106384, 123618, 117158, 120837, 104712, 57980, 66383, 95604, 5486, 17, 104091, 104770, 120332, 125001, 33503, 42891, 116826, 61689, 9174, 106966, 101275, 17792, 103234, 102677, 118733, 5486, 20251, 112673, 47307, 115681, 101918, 5486, 102741, 117383, 5486, 6542, 51, 5486, 103460, 105635, 112427, 33122, 30926, 5486, 103087, 21990, 104509, 5486, 108895, 16995, 100472, 102433, 16144, 13372, 36785, 28713, 30369, 114435, 29295, 100818, 240, 105360, 64121, 106966, 101275, 16556, 125104, 30512, 103792, 1811, 107943, 32149, 105459, 16556, 5486, 37656, 61337, 102351, 123141, 103378, 77181, 111983, 119841, 122502, 50834, 24273, 30512, 5486, 104603, 41758, 102756, 105048, 71289, 106966, 101275, 29295, 105047, 95399, 20230, 71493, 110590, 30512, 103792, 127749, 26854, 104865, 26854, 106046, 76947, 61689, 9174, 102677, 118733, 115408, 55031, 13177, 107059, 65299, 45923, 102756, 105048, 22398, 55031, 91774, 105262, 44620, 8239, 112, 122502, 117903, 16144, 104721, 107804, 36761, 10646, 102677, 110229, 126130, 87177, 21105, 243, 72342, 100481, 90620, 50834, 79721, 1811, 128001, 128000, 116696, 107060, 66953, 76171, 45923, 7, 43514, 119902, 11972, 25827, 81219, 16995, 124592, 14, 19368, 11130, 340, 77195, 30512, 112624, 28713, 56051, 7585, 9458, 112368, 114475, 76622, 104533, 89046, 120988, 29295, 116166, 54926, 121894, 16144, 100909, 1811, 101307, 89046, 120988, 121894, 107173, 9174, 99849, 33503, 116421, 89046, 120988, 80356, 114792, 59739, 7585, 9458, 112368, 9458, 114817, 83601, 248, 103198, 96, 16144, 123259, 23039, 104309, 30512, 40265, 38144, 28713, 110018, 16144, 43511, 5486, 126495, 16144, 113909, 52884, 39880, 91482, 37823, 103906, 13177, 35086, 122, 61994, 15120, 33014, 10646, 5486, 101182, 16995, 15682, 111930, 232, 31431, 121240, 13177, 54, 13, 52591, 32131, 37823, 116219, 10646, 29295, 51609, 16325, 56051, 110018, 114737, 20230, 47000, 58318, 107001, 9174, 53900, 5486, 124417, 1569, 100, 102472, 52414, 44971, 10, 17, 32149, 10, 18, 30512, 99741, 104874, 56051, 109163, 111199, 119126, 101559, 16144, 111234, 89154, 113155, 116219, 105352, 116696, 107060, 66953, 76171, 45923, 16144, 8239, 114503, 29295, 47000, 106161, 103792, 9174, 7585, 30512, 102456, 33503, 116285, 4977, 32977, 51330, 121894, 108176, 29295, 5486, 106826, 108337, 22398, 108901, 40053, 119775, 111090, 109713, 29295, 52563, 107001, 113334, 126194, 5486, 123274, 109904, 121894, 104721, 33208, 101983, 103836, 113637, 28542, 77181, 20251, 44971, 102040, 16073, 20230, 60358, 16995, 9174, 51330, 121894, 16144, 114737, 20230, 77195, 30512, 112624, 28713, 56051, 111234, 89154, 107446, 62903, 33710, 71289, 112368, 10110, 112193, 113335, 78349, 107060, 38129, 125344, 118656, 39276, 103271, 112368, 5486, 110441, 36827, 91875, 30590, 16144, 46028, 38129, 125344, 102097, 124121, 112368, 104309, 7705, 30512, 40265, 38144, 104533, 89046, 120988, 29295, 116166, 54926, 9174, 104622, 61826, 110480, 25129, 15682, 7585, 9458, 112368, 50667, 111848, 116696, 107060, 66953, 76171, 45923, 83354, 39880, 91482, 37823, 103906, 111848, 116696, 107060, 66953, 76171, 45923, 117084, 108086, 5486, 27452, 116285, 7585, 38129, 74245, 123090, 54, 13, 52591, 32131, 37823, 116219, 30512, 5877, 102, 50834, 104526, 25827, 72661, 13177, 8239, 114503, 110214, 10646, 108176, 9174, 51330, 121894, 30512, 113801, 125119, 17663, 118639, 29295, 7585, 9458, 112368, 50667, 16144, 126465, 109853, 15682, 11144, 89046, 120988, 11199, 16144, 105904, 126250, 50338, 108323, 54926, 1811, 88852, 77181, 115132, 91482, 37823, 103906, 113468, 113801, 125119, 107001, 116696, 107060, 66953, 76171, 45923, 109853, 50338, 108323, 54926, 9174, 111930, 232, 31431, 121240, 54, 13, 52591, 32131, 37823, 116219, 16144, 107803, 5486, 7585, 16144, 69978, 59739, 44971, 115882, 16, 89046, 120988, 80356, 16144, 26854, 32149, 16556, 32335, 32977, 104622, 61826, 110480, 25129, 16144, 126574, 102944, 115847, 29295, 198, 44971, 115882, 16, 89046, 120988, 80356, 114792, 28713, 100604, 7585, 77181, 5486, 89046, 120988, 15682, 102404, 91875, 21105, 103, 16995, 9174, 53900, 126495, 16144, 113909, 52884, 39880, 91482, 37823, 103906, 35086, 122, 61994, 15120, 33014, 77181, 89046, 120988, 80356, 29295, 108901, 26854, 31431, 74857, 18, 89046, 120988, 32977, 102404, 91875, 54926, 101200, 101983, 103836, 9174, 123274, 9554, 102052, 30591, 28713, 32149, 32977, 20251, 22398 ]
[ 7585, 103306, 37087, 38144, 16144, 44971, 115882, 16, 89046, 120988, 80356, 29295, 115963, 20230, 102404, 21990, 103792, 121894, 117084, 108086, 9, 16, 5486, 106307, 107441, 102404, 91875, 56051, 7585, 16144, 80356, 19732, 30591, 110027, 38144, 116166, 54926, 89046, 120988, 29295, 122074, 54926, 9174, 124042, 112535, 67645, 16144, 80356, 29295, 121507, 107001, 104865, 109853, 15682, 5486, 123274, 109904, 89046, 120988, 80356, 16144, 110366, 113245, 104622, 61826, 110480, 25129, 113468, 122074, 54926, 102944, 19732, 84851, 108867, 107001, 9174, 104622, 61826, 110480, 25129, 103372, 52118, 103167, 198, 122026, 50338, 10110, 80699, 7705, 83354, 110567, 33208, 10110, 30320, 115, 7705, 83354, 122142, 117068, 10110, 104346, 7705, 83354, 102769, 64889, 10110, 74090, 7705, 83354, 127852, 107666, 10110, 97565, 7705, 83354, 107084, 91875, 10110, 53610, 7705, 83354, 80631, 104, 33035, 10110, 101426, 7705, 83354, 110226, 123332, 10110, 13357, 229, 23954, 90620, 15024, 5486, 106307, 107441, 102404, 91875, 56051, 7585, 29295, 41920, 59739, 71689, 16144, 89046, 120988, 80356, 114792, 59739, 107803, 106116, 7585, 16144, 80356, 104622, 61826, 110480, 25129, 16144, 118881, 29295, 5486, 115924, 103359, 9554, 104622, 61826, 117282, 9174, 85701, 112212, 7585, 116907, 16144, 89046, 120988, 80356, 107118, 108901, 26854, 31431, 5486, 44971, 115882, 17, 89046, 120988, 29295, 102404, 21990, 54926, 105908, 101182, 9174, 109242, 9039, 16144, 80356, 114792, 59739, 7585, 30512, 107666, 100472, 107803, 106116, 7585, 16144, 119869, 16144, 80356, 16556, 116166, 106053, 23187, 29295, 23039, 126832, 9174, 44971, 115882, 17, 80356, 15682, 43568, 103984, 107001, 9174, 101426, 9458, 13357, 229, 9, 17, 83354, 30358, 48634, 10110, 74090, 9458, 13357, 229, 7705, 83354, 17620, 50338, 10110, 104346, 9458, 97565, 7705, 83354, 112827, 103302, 10110, 53610, 9458, 30320, 115, 7705, 83354, 72237, 107969, 10110, 80699, 9458, 101426, 7705, 83354, 122026, 50338, 10110, 80699, 7705, 83354, 110567, 33208, 10110, 30320, 115, 7705, 83354, 122142, 117068, 10110, 104346, 7705, 83354, 102769, 64889, 10110, 74090, 7705, 83354, 127852, 107666, 10110, 97565, 7705, 83354, 107084, 91875, 10110, 53610, 7705, 83354, 80631, 104, 33035, 10110, 101426, 7705, 83354, 110226, 123332, 10110, 13357, 229, 23954, 74857, 18, 89046, 120988, 16144, 27452, 103306, 88852, 30512, 123680, 102639, 30369, 9174, 567, 110096, 34048, 109904, 42634, 76428, 48552, 119594, 51330, 110018, 102404, 91875, 54926, 89046, 120988, 80356, 15682, 108948, 33334, 17129, 111201, 112844, 19732, 88852, 119775, 32018, 109315, 105908, 108608, 10110, 116718, 15682, 74482, 43032, 123505, 14711, 468, 13, 52591, 32131, 37823, 116219, 5486, 111234, 89154, 113155, 116219, 10110, 124417, 1569, 100, 102472, 52414, 44971, 10, 17, 269, 10, 18, 99741, 104874, 39177, 7705, 119594, 198, 12, 220, 27452, 16, 25, 47260, 100560, 250, 10110, 127852, 107666, 7705, 30512, 107666, 100472, 107803, 5486, 110567, 33208, 9458, 107084, 91875, 105755, 122026, 50338, 29295, 104622, 61826, 84389, 72237, 107969, 29295, 102404, 21990, 10110, 122026, 50338, 127587, 240, 127852, 107666, 123505, 12, 220, 27452, 17, 25, 105988, 45923, 61398, 57933, 108981, 10110, 107084, 91875, 7705, 30512, 107666, 100472, 107803, 5486, 102769, 64889, 9458, 80631, 104, 33035, 105755, 110567, 33208, 29295, 104622, 61826, 84389, 17620, 50338, 29295, 102404, 21990, 10110, 110567, 33208, 127587, 240, 107084, 91875, 123505, 12, 220, 27452, 18, 25, 106649, 53508, 223, 10110, 110226, 123332, 7705, 30512, 107666, 100472, 107803, 5486, 122142, 117068, 105755, 110567, 33208, 29295, 104622, 61826, 84389, 110226, 123332, 29295, 102404, 21990, 10110, 110567, 33208, 52118, 110226, 123332, 123505, 12, 220, 27452, 19, 25, 109054, 110305, 16073, 10110, 122142, 117068, 14, 127852, 107666, 7705, 30512, 107666, 100472, 107803, 5486, 122142, 117068, 29295, 102404, 21990, 10110, 127852, 107666, 52118, 122142, 117068, 123505, 12, 220, 27452, 20, 25, 99959, 16073, 57207, 94550, 76739, 26269, 76428, 10110, 102769, 64889, 14, 122142, 117068, 7705, 30512, 107666, 100472, 107803, 5486, 80631, 104, 33035, 105755, 122026, 50338, 29295, 104622, 61826, 84389, 102769, 64889, 29295, 102404, 21990, 10110, 122026, 50338, 52118, 102769, 64889, 123505, 12, 220, 27452, 21, 25, 22398, 32131, 115432, 102895, 67075, 10110, 107084, 91875, 14, 80631, 104, 33035, 14, 122142, 117068, 8, 30512, 107666, 100472, 107803, 5486, 17620, 50338, 29295, 102404, 21990, 10110, 110567, 33208, 127587, 240, 107084, 91875, 123505, 14711, 98359, 122, 61994, 15120, 33014, 16144, 107803, 119594, 123274, 42634, 76428, 48552, 103306, 54, 13, 52591, 32131, 37823, 116219, 19732, 101307, 89046, 120988, 80356, 29295, 119448, 47884, 108901, 26854, 76947, 108086, 74857, 17, 7586, 85, 18, 80356, 29295, 126543, 107001, 118844, 112212, 110904, 33014, 16556, 74857, 18, 89046, 120988, 30512, 104817, 64121, 121406, 115789, 88367, 104856, 103836, 9174, 12, 220, 27452, 16, 25, 9953, 101426, 10110, 112827, 103302, 14, 107084, 91875, 7705, 30512, 107666, 100472, 107803, 5486, 13357, 229, 29295, 102404, 21990, 10110, 30358, 48634, 127587, 240, 28038, 112827, 103302, 26123, 127587, 240, 13357, 229, 23954, 12, 220, 27452, 17, 25, 102185, 101918, 10110, 72237, 107969, 14, 110226, 123332, 7705, 30512, 107666, 100472, 107803, 5486, 101426, 29295, 102404, 21990, 10110, 17620, 50338, 127587, 240, 28038, 72237, 107969, 26123, 127587, 240, 101426, 23954, 12, 220, 27452, 18, 25, 108267, 165, 112, 231, 10110, 30358, 48634, 14, 110567, 33208, 7705, 30512, 107666, 100472, 107803, 5486, 13357, 229, 29295, 102404, 21990, 10110, 112827, 103302, 127587, 240, 28038, 30358, 48634, 26123, 127587, 240, 13357, 229, 23954, 12, 220, 27452, 19, 25, 102867, 105150, 10110, 17620, 50338, 14, 110226, 123332, 7705, 30512, 107666, 100472, 107803, 5486, 17620, 50338, 29295, 102404, 21990, 10110, 30358, 48634, 127587, 240, 28038, 17620, 50338, 26123, 127587, 240, 17620, 50338, 7705, 9, 18, 198, 12, 220, 27452, 20, 25, 18904, 36827, 10110, 101426, 14, 17620, 50338, 7705, 30512, 107666, 100472, 107803, 5486, 101426, 29295, 102404, 21990, 10110, 101426, 127587, 240, 28038, 101426, 26123, 127587, 240, 101426, 7705, 9, 19, 198, 567, 122887, 111831, 119594, 11144, 35086, 122, 61994, 15120, 33014, 20145, 54, 13, 52591, 32131, 37823, 116219, 20145, 89046, 120988, 20145, 111234, 89154, 107446, 62903, 33710, 112479, 12, 353, 16, 198, 12, 110147, 107666, 110191, 118372, 35, 37461, 13, 17, 32943, 122401, 30046, 124773, 91482, 72369, 38248, 230, 31431, 198, 12, 353, 17, 198, 12, 116996, 9458, 13357, 229, 67645, 112384, 29295, 104622, 61826, 110480, 25129, 29295, 45736, 118544, 15682, 37271, 112599, 16937, 31958, 9174, 12, 353, 18, 198, 12, 59757, 50338, 104622, 61826, 16144, 7585, 16144, 107803, 35086, 122, 61994, 15120, 33014, 16144, 72237, 107969, 126036, 30358, 48634, 29295, 104622, 61826, 116216, 103801, 16995, 5486, 74857, 18, 89046, 120988, 102052, 105110, 103470, 109020, 9174, 12, 353, 19, 198, 12, 63305, 18, 16144, 101426, 42016, 101559, 113245, 89046, 120988, 16144, 103846, 23897, 104989, 89046, 120988, 21105, 103, 47884, 109020, 1811, 128001, 128000, 567, 125389, 60868, 89154, 47260, 32131, 91062, 198, 2, 125900, 28190, 104004, 15024, 127480, 16144, 103911, 103181, 19732, 127480, 56965, 110101, 57207, 9458, 52591, 42634, 22398, 198, 85300, 246, 59563, 102456, 60868, 121057, 127480, 70626, 123357, 91077, 16144, 35818, 58911, 38641, 9174, 37271, 111299, 16144, 102456, 60868, 89154, 52884, 77750, 15682, 48154, 45736, 106036, 95, 30046, 20230, 127181, 102831, 28190, 104004, 15024, 127480, 19732, 58426, 103911, 103181, 20230, 8239, 114503, 109904, 127480, 56965, 110101, 57207, 19732, 52591, 42634, 117718, 38129, 114556, 39926, 48154, 126362, 107726, 100481, 90620, 50834, 33541, 9174, 48154, 45736, 106036, 95, 112919, 104004, 15024, 127480, 16144, 66378, 17599, 112, 103306, 5486, 102831, 28190, 104004, 15024, 127480, 120332, 29295, 115079, 107290, 50834, 33541, 9174, 102831, 28190, 104004, 15024, 127480, 107118, 5486, 127480, 19732, 127480, 104699, 50834, 16144, 103496, 30832, 55031, 127480, 16144, 102831, 16144, 105494, 20230, 108608, 104004, 15024, 127480, 38641, 9174, 85701, 15682, 5486, 21601, 106036, 95, 20230, 112183, 76947, 127480, 104699, 50834, 29295, 17297, 29295, 31431, 108048, 103296, 127480, 104699, 50834, 20230, 106154, 102204, 101732, 115289, 33503, 121867, 47523, 109895, 105284, 29295, 124721, 39926, 103801, 16995, 5486, 105651, 118158, 105494, 29295, 104004, 15024, 127480, 115717, 126172, 115737, 76947, 114732, 103846, 38641, 9174, 48154, 45736, 106036, 95, 30046, 20230, 43240, 47884, 91774, 110071, 36785, 107654, 16144, 17620, 14888, 234, 33857, 16144, 103167, 17297, 20230, 112183, 30297, 37026, 27699, 226, 113266, 29295, 114485, 83747, 71289, 5486, 16937, 114392, 26854, 127480, 118368, 50834, 5486, 118368, 50834, 108618, 21105, 103, 67645, 29295, 5486, 102831, 28190, 104004, 15024, 127480, 30512, 103856, 47884, 116748, 107726, 33541, 9174, 108895, 56051, 104004, 15024, 127480, 15682, 5486, 43240, 119064, 127480, 20230, 115963, 20230, 108608, 105908, 43240, 47884, 5486, 127480, 16144, 101365, 106613, 32977, 99750, 112854, 29295, 18630, 230, 235, 115737, 76947, 109749, 100909, 55031, 5486, 104004, 15024, 127480, 29295, 116748, 120837, 111571, 103397, 29295, 102321, 123671, 20230, 47884, 115737, 31431, 5486, 116499, 220, 59739, 102334, 39177, 102052, 5486, 127480, 29295, 102831, 24186, 55031, 108881, 106824, 114732, 107803, 107407, 105879, 61633, 29295, 109215, 38641, 9174, 102831, 28190, 104004, 15024, 127480, 30512, 15682, 100204, 62004, 117408, 104004, 15024, 127480, 71289, 127480, 41642, 103429, 30512, 103911, 103181, 54926, 102052, 115847, 120577, 113385, 117282, 127480, 101037, 95, 10110, 125540, 105048, 7705, 30512, 127480, 118368, 50834, 19732, 52591, 42634, 22398, 30512, 38129, 39926, 8239, 114503, 112535, 127480, 101037, 95, 30512, 108167, 21418, 50834, 36117, 250, 62004, 43949, 120, 17129, 100604, 105908, 107693, 38641, 9174, 127480, 101037, 95, 10110, 125540, 105048, 119735, 102456, 74482, 114225, 20230, 108608, 113334, 126194, 5486, 21980, 248, 33121, 29295, 105623, 226, 108882, 15024, 5486, 104004, 15024, 127480, 115686, 71289, 127480, 41642, 103429, 115686, 29295, 115079, 105262, 118733, 127480, 101037, 95, 29295, 59739, 47884, 102204, 33541, 113637, 127480, 101037, 95, 30512, 36117, 250, 62004, 104526, 104004, 19732, 5486, 127480, 104699, 50834, 29295, 101921, 104, 104028, 5486, 127480, 29295, 122026, 105784, 123160, 111571, 103397, 29295, 119273, 104680, 20230, 116748, 109768, 50834, 33541, 9174, 101182, 104873, 112984, 103732, 104533, 5486, 127480, 110101, 57207, 111848, 110101, 26269, 57207, 94550, 103378, 77181, 5486, 127480, 19732, 127480, 16144, 56965, 16144, 127480, 101037, 95, 10110, 125540, 105048, 120732, 5547, 4, 67016, 21418, 76622, 104435, 110115, 103359, 39926, 5486, 52591, 42634, 22398, 30512, 125702, 11883, 112990, 4643, 4, 5486, 73028, 107, 56965, 110101, 57207, 30512, 21601, 58942, 104533, 5313, 4, 103296, 21418, 86436, 108608, 102677, 113702, 125334, 127280, 9174, 127480, 56965, 110101, 57207, 71289, 52591, 42634, 22398, 30512, 38129, 54926, 118733, 104004, 15024, 127480, 71289, 127480, 41642, 103429, 16144, 103911, 103181, 108176, 121142, 103470, 40526, 26274, 255, 16144, 113385, 117282, 127480, 122756, 108618, 100472, 125764, 32149, 17663, 30512, 21105, 96, 107277, 108167, 21418, 47884, 118733, 5486, 40526, 26274, 255, 16144, 103911, 103181, 71289, 23226, 106594, 54926, 105908, 125545, 9174, 53900, 5486, 127480, 56965, 110101, 57207, 71289, 68408, 114483, 122981, 42634, 22398, 30512, 38129, 54926, 118733, 5486, 104004, 15024, 127480, 71289, 127480, 41642, 103429, 16144, 103856, 23538, 102404, 91774, 107294, 105722, 30369, 107803, 32977, 57903, 33541, 9174, 68408, 114483, 122981, 42634, 22398, 124905, 16995, 36896, 121410, 18904, 112361, 116245, 16556, 73686, 42891, 32149, 117295, 10646, 36896, 52591, 42634, 22398, 29295, 81219, 33503, 107441, 114732, 10646, 36896, 52591, 42634, 22398, 29295, 102769, 106824, 114732, 10646, 104309, 29295, 125119, 30369, 107803, 102052, 106116, 105494, 20230, 104004, 15024, 127480, 29295, 103082, 101732, 31431, 5486, 50520, 108, 62004, 102944, 71289, 5486, 32149, 104369, 72342, 102944, 20230, 16937, 77913, 40862, 29295, 72718, 50834, 101732, 31431, 54926, 125396, 115991, 33541, 9174, 53900, 5486, 68408, 114483, 122981, 42634, 22398, 124905, 30297, 19732, 13177, 127480, 104699, 50834, 55031, 104473, 125334, 30369, 10646, 107803, 102052, 5486, 127480, 41642, 103429, 16144, 107750, 16995, 115991, 33541, 9174, 20713, 9080, 34617, 18904, 104257, 121370, 26854, 127480, 118368, 50834, 29295, 108608, 105879, 113170, 104984, 77693, 29295, 22649, 101067, 9554, 119627, 5486, 28713, 19732, 58942, 121410, 102456, 123090, 127480, 118368, 50834, 30512, 39926, 102532, 32977, 5486, 122202, 26854, 118368, 50834, 24273, 77181, 18049, 222, 15024, 127480, 71289, 127480, 41642, 103429, 16144, 103911, 103181, 8239, 114503, 15682, 103167, 115737, 76947, 103801, 61689, 9174, 107693, 26854, 104468, 5486, 83747, 103470, 107173, 20713, 9080, 20713, 18904, 104257, 121370, 26854, 127480, 118368, 50834, 30512, 39926, 106116, 117073, 21980, 248, 33121, 30512, 108167, 21418, 50834, 108948, 40526, 107809, 30512, 50834, 33121, 16995, 26854, 121894, 116446, 33334, 47884, 105908, 27384, 102769, 38641, 9174, 127480, 64121, 29295, 50834, 16144, 104983, 102052, 71289, 78183, 33503, 32149, 62004, 16144, 127480, 110101, 57207, 16556, 71289, 30813, 106624, 118368, 47884, 121142, 103470, 5486, 127480, 56965, 110101, 57207, 19732, 68408, 114483, 122981, 42634, 22398, 124905, 76947, 127480, 19732, 127480, 16144, 56965, 16144, 21980, 248, 33121, 32977, 18655, 30369, 104466, 39926, 17297, 65316, 9174, 48154, 37026, 110362, 71289, 102923, 102332, 16556, 23039, 30297, 9080, 104680, 16144, 64810, 33710, 96841, 109, 39880, 19732, 125702, 127397, 127480, 70626, 103242, 104599, 111848, 23187, 23538, 111800, 120761, 114475, 22023, 15024, 5486, 102831, 28190, 104004, 15024, 127480, 104088, 59739, 107441, 103856, 16995, 38574, 106090, 16556, 102456, 16995, 82533, 62004, 100481, 47884, 105908, 27384, 102769, 115717, 33541, 9174, 127480, 70626, 103242, 104599, 111848, 127480, 70626, 111800, 120761, 5486, 80539, 127480, 70626, 108581, 21990, 101559, 111848, 9080, 40053, 16144, 40526, 101921, 242, 102663, 39880, 16144, 41007, 123160, 33563, 105298, 64467, 106839, 5486, 127480, 70626, 120824, 99397, 120761, 109519, 16556, 33334, 110482, 111331 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7585, 103306, 37087, 38144, 16144, 44971, 115882, 16, 89046, 120988, 80356, 29295, 115963, 20230, 102404, 21990, 103792, 121894, 117084, 108086, 9, 16, 5486, 106307, 107441, 102404, 91875, 56051, 7585, 16144, 80356, 19732, 30591, 110027, 38144, 116166, 54926, 89046, 120988, 29295, 122074, 54926, 9174, 124042, 112535, 67645, 16144, 80356, 29295, 121507, 107001, 104865, 109853, 15682, 5486, 123274, 109904, 89046, 120988, 80356, 16144, 110366, 113245, 104622, 61826, 110480, 25129, 113468, 122074, 54926, 102944, 19732, 84851, 108867, 107001, 9174, 104622, 61826, 110480, 25129, 103372, 52118, 103167, 198, 122026, 50338, 10110, 80699, 7705, 83354, 110567, 33208, 10110, 30320, 115, 7705, 83354, 122142, 117068, 10110, 104346, 7705, 83354, 102769, 64889, 10110, 74090, 7705, 83354, 127852, 107666, 10110, 97565, 7705, 83354, 107084, 91875, 10110, 53610, 7705, 83354, 80631, 104, 33035, 10110, 101426, 7705, 83354, 110226, 123332, 10110, 13357, 229, 23954, 90620, 15024, 5486, 106307, 107441, 102404, 91875, 56051, 7585, 29295, 41920, 59739, 71689, 16144, 89046, 120988, 80356, 114792, 59739, 107803, 106116, 7585, 16144, 80356, 104622, 61826, 110480, 25129, 16144, 118881, 29295, 5486, 115924, 103359, 9554, 104622, 61826, 117282, 9174, 85701, 112212, 7585, 116907, 16144, 89046, 120988, 80356, 107118, 108901, 26854, 31431, 5486, 44971, 115882, 17, 89046, 120988, 29295, 102404, 21990, 54926, 105908, 101182, 9174, 109242, 9039, 16144, 80356, 114792, 59739, 7585, 30512, 107666, 100472, 107803, 106116, 7585, 16144, 119869, 16144, 80356, 16556, 116166, 106053, 23187, 29295, 23039, 126832, 9174, 44971, 115882, 17, 80356, 15682, 43568, 103984, 107001, 9174, 101426, 9458, 13357, 229, 9, 17, 83354, 30358, 48634, 10110, 74090, 9458, 13357, 229, 7705, 83354, 17620, 50338, 10110, 104346, 9458, 97565, 7705, 83354, 112827, 103302, 10110, 53610, 9458, 30320, 115, 7705, 83354, 72237, 107969, 10110, 80699, 9458, 101426, 7705, 83354, 122026, 50338, 10110, 80699, 7705, 83354, 110567, 33208, 10110, 30320, 115, 7705, 83354, 122142, 117068, 10110, 104346, 7705, 83354, 102769, 64889, 10110, 74090, 7705, 83354, 127852, 107666, 10110, 97565, 7705, 83354, 107084, 91875, 10110, 53610, 7705, 83354, 80631, 104, 33035, 10110, 101426, 7705, 83354, 110226, 123332, 10110, 13357, 229, 23954, 74857, 18, 89046, 120988, 16144, 27452, 103306, 88852, 30512, 123680, 102639, 30369, 9174, 567, 110096, 34048, 109904, 42634, 76428, 48552, 119594, 51330, 110018, 102404, 91875, 54926, 89046, 120988, 80356, 15682, 108948, 33334, 17129, 111201, 112844, 19732, 88852, 119775, 32018, 109315, 105908, 108608, 10110, 116718, 15682, 74482, 43032, 123505, 14711, 468, 13, 52591, 32131, 37823, 116219, 5486, 111234, 89154, 113155, 116219, 10110, 124417, 1569, 100, 102472, 52414, 44971, 10, 17, 269, 10, 18, 99741, 104874, 39177, 7705, 119594, 198, 12, 220, 27452, 16, 25, 47260, 100560, 250, 10110, 127852, 107666, 7705, 30512, 107666, 100472, 107803, 5486, 110567, 33208, 9458, 107084, 91875, 105755, 122026, 50338, 29295, 104622, 61826, 84389, 72237, 107969, 29295, 102404, 21990, 10110, 122026, 50338, 127587, 240, 127852, 107666, 123505, 12, 220, 27452, 17, 25, 105988, 45923, 61398, 57933, 108981, 10110, 107084, 91875, 7705, 30512, 107666, 100472, 107803, 5486, 102769, 64889, 9458, 80631, 104, 33035, 105755, 110567, 33208, 29295, 104622, 61826, 84389, 17620, 50338, 29295, 102404, 21990, 10110, 110567, 33208, 127587, 240, 107084, 91875, 123505, 12, 220, 27452, 18, 25, 106649, 53508, 223, 10110, 110226, 123332, 7705, 30512, 107666, 100472, 107803, 5486, 122142, 117068, 105755, 110567, 33208, 29295, 104622, 61826, 84389, 110226, 123332, 29295, 102404, 21990, 10110, 110567, 33208, 52118, 110226, 123332, 123505, 12, 220, 27452, 19, 25, 109054, 110305, 16073, 10110, 122142, 117068, 14, 127852, 107666, 7705, 30512, 107666, 100472, 107803, 5486, 122142, 117068, 29295, 102404, 21990, 10110, 127852, 107666, 52118, 122142, 117068, 123505, 12, 220, 27452, 20, 25, 99959, 16073, 57207, 94550, 76739, 26269, 76428, 10110, 102769, 64889, 14, 122142, 117068, 7705, 30512, 107666, 100472, 107803, 5486, 80631, 104, 33035, 105755, 122026, 50338, 29295, 104622, 61826, 84389, 102769, 64889, 29295, 102404, 21990, 10110, 122026, 50338, 52118, 102769, 64889, 123505, 12, 220, 27452, 21, 25, 22398, 32131, 115432, 102895, 67075, 10110, 107084, 91875, 14, 80631, 104, 33035, 14, 122142, 117068, 8, 30512, 107666, 100472, 107803, 5486, 17620, 50338, 29295, 102404, 21990, 10110, 110567, 33208, 127587, 240, 107084, 91875, 123505, 14711, 98359, 122, 61994, 15120, 33014, 16144, 107803, 119594, 123274, 42634, 76428, 48552, 103306, 54, 13, 52591, 32131, 37823, 116219, 19732, 101307, 89046, 120988, 80356, 29295, 119448, 47884, 108901, 26854, 76947, 108086, 74857, 17, 7586, 85, 18, 80356, 29295, 126543, 107001, 118844, 112212, 110904, 33014, 16556, 74857, 18, 89046, 120988, 30512, 104817, 64121, 121406, 115789, 88367, 104856, 103836, 9174, 12, 220, 27452, 16, 25, 9953, 101426, 10110, 112827, 103302, 14, 107084, 91875, 7705, 30512, 107666, 100472, 107803, 5486, 13357, 229, 29295, 102404, 21990, 10110, 30358, 48634, 127587, 240, 28038, 112827, 103302, 26123, 127587, 240, 13357, 229, 23954, 12, 220, 27452, 17, 25, 102185, 101918, 10110, 72237, 107969, 14, 110226, 123332, 7705, 30512, 107666, 100472, 107803, 5486, 101426, 29295, 102404, 21990, 10110, 17620, 50338, 127587, 240, 28038, 72237, 107969, 26123, 127587, 240, 101426, 23954, 12, 220, 27452, 18, 25, 108267, 165, 112, 231, 10110, 30358, 48634, 14, 110567, 33208, 7705, 30512, 107666, 100472, 107803, 5486, 13357, 229, 29295, 102404, 21990, 10110, 112827, 103302, 127587, 240, 28038, 30358, 48634, 26123, 127587, 240, 13357, 229, 23954, 12, 220, 27452, 19, 25, 102867, 105150, 10110, 17620, 50338, 14, 110226, 123332, 7705, 30512, 107666, 100472, 107803, 5486, 17620, 50338, 29295, 102404, 21990, 10110, 30358, 48634, 127587, 240, 28038, 17620, 50338, 26123, 127587, 240, 17620, 50338, 7705, 9, 18, 198, 12, 220, 27452, 20, 25, 18904, 36827, 10110, 101426, 14, 17620, 50338, 7705, 30512, 107666, 100472, 107803, 5486, 101426, 29295, 102404, 21990, 10110, 101426, 127587, 240, 28038, 101426, 26123, 127587, 240, 101426, 7705, 9, 19, 198, 567, 122887, 111831, 119594, 11144, 35086, 122, 61994, 15120, 33014, 20145, 54, 13, 52591, 32131, 37823, 116219, 20145, 89046, 120988, 20145, 111234, 89154, 107446, 62903, 33710, 112479, 12, 353, 16, 198, 12, 110147, 107666, 110191, 118372, 35, 37461, 13, 17, 32943, 122401, 30046, 124773, 91482, 72369, 38248, 230, 31431, 198, 12, 353, 17, 198, 12, 116996, 9458, 13357, 229, 67645, 112384, 29295, 104622, 61826, 110480, 25129, 29295, 45736, 118544, 15682, 37271, 112599, 16937, 31958, 9174, 12, 353, 18, 198, 12, 59757, 50338, 104622, 61826, 16144, 7585, 16144, 107803, 35086, 122, 61994, 15120, 33014, 16144, 72237, 107969, 126036, 30358, 48634, 29295, 104622, 61826, 116216, 103801, 16995, 5486, 74857, 18, 89046, 120988, 102052, 105110, 103470, 109020, 9174, 12, 353, 19, 198, 12, 63305, 18, 16144, 101426, 42016, 101559, 113245, 89046, 120988, 16144, 103846, 23897, 104989, 89046, 120988, 21105, 103, 47884, 109020, 1811, 128001, 128000, 567, 125389, 60868, 89154, 47260, 32131, 91062, 198, 2, 125900, 28190, 104004, 15024, 127480, 16144, 103911, 103181, 19732, 127480, 56965, 110101, 57207, 9458, 52591, 42634, 22398, 198, 85300, 246, 59563, 102456, 60868, 121057, 127480, 70626, 123357, 91077, 16144, 35818, 58911, 38641, 9174, 37271, 111299, 16144, 102456, 60868, 89154, 52884, 77750, 15682, 48154, 45736, 106036, 95, 30046, 20230, 127181, 102831, 28190, 104004, 15024, 127480, 19732, 58426, 103911, 103181, 20230, 8239, 114503, 109904, 127480, 56965, 110101, 57207, 19732, 52591, 42634, 117718, 38129, 114556, 39926, 48154, 126362, 107726, 100481, 90620, 50834, 33541, 9174, 48154, 45736, 106036, 95, 112919, 104004, 15024, 127480, 16144, 66378, 17599, 112, 103306, 5486, 102831, 28190, 104004, 15024, 127480, 120332, 29295, 115079, 107290, 50834, 33541, 9174, 102831, 28190, 104004, 15024, 127480, 107118, 5486, 127480, 19732, 127480, 104699, 50834, 16144, 103496, 30832, 55031, 127480, 16144, 102831, 16144, 105494, 20230, 108608, 104004, 15024, 127480, 38641, 9174, 85701, 15682, 5486, 21601, 106036, 95, 20230, 112183, 76947, 127480, 104699, 50834, 29295, 17297, 29295, 31431, 108048, 103296, 127480, 104699, 50834, 20230, 106154, 102204, 101732, 115289, 33503, 121867, 47523, 109895, 105284, 29295, 124721, 39926, 103801, 16995, 5486, 105651, 118158, 105494, 29295, 104004, 15024, 127480, 115717, 126172, 115737, 76947, 114732, 103846, 38641, 9174, 48154, 45736, 106036, 95, 30046, 20230, 43240, 47884, 91774, 110071, 36785, 107654, 16144, 17620, 14888, 234, 33857, 16144, 103167, 17297, 20230, 112183, 30297, 37026, 27699, 226, 113266, 29295, 114485, 83747, 71289, 5486, 16937, 114392, 26854, 127480, 118368, 50834, 5486, 118368, 50834, 108618, 21105, 103, 67645, 29295, 5486, 102831, 28190, 104004, 15024, 127480, 30512, 103856, 47884, 116748, 107726, 33541, 9174, 108895, 56051, 104004, 15024, 127480, 15682, 5486, 43240, 119064, 127480, 20230, 115963, 20230, 108608, 105908, 43240, 47884, 5486, 127480, 16144, 101365, 106613, 32977, 99750, 112854, 29295, 18630, 230, 235, 115737, 76947, 109749, 100909, 55031, 5486, 104004, 15024, 127480, 29295, 116748, 120837, 111571, 103397, 29295, 102321, 123671, 20230, 47884, 115737, 31431, 5486, 116499, 220, 59739, 102334, 39177, 102052, 5486, 127480, 29295, 102831, 24186, 55031, 108881, 106824, 114732, 107803, 107407, 105879, 61633, 29295, 109215, 38641, 9174, 102831, 28190, 104004, 15024, 127480, 30512, 15682, 100204, 62004, 117408, 104004, 15024, 127480, 71289, 127480, 41642, 103429, 30512, 103911, 103181, 54926, 102052, 115847, 120577, 113385, 117282, 127480, 101037, 95, 10110, 125540, 105048, 7705, 30512, 127480, 118368, 50834, 19732, 52591, 42634, 22398, 30512, 38129, 39926, 8239, 114503, 112535, 127480, 101037, 95, 30512, 108167, 21418, 50834, 36117, 250, 62004, 43949, 120, 17129, 100604, 105908, 107693, 38641, 9174, 127480, 101037, 95, 10110, 125540, 105048, 119735, 102456, 74482, 114225, 20230, 108608, 113334, 126194, 5486, 21980, 248, 33121, 29295, 105623, 226, 108882, 15024, 5486, 104004, 15024, 127480, 115686, 71289, 127480, 41642, 103429, 115686, 29295, 115079, 105262, 118733, 127480, 101037, 95, 29295, 59739, 47884, 102204, 33541, 113637, 127480, 101037, 95, 30512, 36117, 250, 62004, 104526, 104004, 19732, 5486, 127480, 104699, 50834, 29295, 101921, 104, 104028, 5486, 127480, 29295, 122026, 105784, 123160, 111571, 103397, 29295, 119273, 104680, 20230, 116748, 109768, 50834, 33541, 9174, 101182, 104873, 112984, 103732, 104533, 5486, 127480, 110101, 57207, 111848, 110101, 26269, 57207, 94550, 103378, 77181, 5486, 127480, 19732, 127480, 16144, 56965, 16144, 127480, 101037, 95, 10110, 125540, 105048, 120732, 5547, 4, 67016, 21418, 76622, 104435, 110115, 103359, 39926, 5486, 52591, 42634, 22398, 30512, 125702, 11883, 112990, 4643, 4, 5486, 73028, 107, 56965, 110101, 57207, 30512, 21601, 58942, 104533, 5313, 4, 103296, 21418, 86436, 108608, 102677, 113702, 125334, 127280, 9174, 127480, 56965, 110101, 57207, 71289, 52591, 42634, 22398, 30512, 38129, 54926, 118733, 104004, 15024, 127480, 71289, 127480, 41642, 103429, 16144, 103911, 103181, 108176, 121142, 103470, 40526, 26274, 255, 16144, 113385, 117282, 127480, 122756, 108618, 100472, 125764, 32149, 17663, 30512, 21105, 96, 107277, 108167, 21418, 47884, 118733, 5486, 40526, 26274, 255, 16144, 103911, 103181, 71289, 23226, 106594, 54926, 105908, 125545, 9174, 53900, 5486, 127480, 56965, 110101, 57207, 71289, 68408, 114483, 122981, 42634, 22398, 30512, 38129, 54926, 118733, 5486, 104004, 15024, 127480, 71289, 127480, 41642, 103429, 16144, 103856, 23538, 102404, 91774, 107294, 105722, 30369, 107803, 32977, 57903, 33541, 9174, 68408, 114483, 122981, 42634, 22398, 124905, 16995, 36896, 121410, 18904, 112361, 116245, 16556, 73686, 42891, 32149, 117295, 10646, 36896, 52591, 42634, 22398, 29295, 81219, 33503, 107441, 114732, 10646, 36896, 52591, 42634, 22398, 29295, 102769, 106824, 114732, 10646, 104309, 29295, 125119, 30369, 107803, 102052, 106116, 105494, 20230, 104004, 15024, 127480, 29295, 103082, 101732, 31431, 5486, 50520, 108, 62004, 102944, 71289, 5486, 32149, 104369, 72342, 102944, 20230, 16937, 77913, 40862, 29295, 72718, 50834, 101732, 31431, 54926, 125396, 115991, 33541, 9174, 53900, 5486, 68408, 114483, 122981, 42634, 22398, 124905, 30297, 19732, 13177, 127480, 104699, 50834, 55031, 104473, 125334, 30369, 10646, 107803, 102052, 5486, 127480, 41642, 103429, 16144, 107750, 16995, 115991, 33541, 9174, 20713, 9080, 34617, 18904, 104257, 121370, 26854, 127480, 118368, 50834, 29295, 108608, 105879, 113170, 104984, 77693, 29295, 22649, 101067, 9554, 119627, 5486, 28713, 19732, 58942, 121410, 102456, 123090, 127480, 118368, 50834, 30512, 39926, 102532, 32977, 5486, 122202, 26854, 118368, 50834, 24273, 77181, 18049, 222, 15024, 127480, 71289, 127480, 41642, 103429, 16144, 103911, 103181, 8239, 114503, 15682, 103167, 115737, 76947, 103801, 61689, 9174, 107693, 26854, 104468, 5486, 83747, 103470, 107173, 20713, 9080, 20713, 18904, 104257, 121370, 26854, 127480, 118368, 50834, 30512, 39926, 106116, 117073, 21980, 248, 33121, 30512, 108167, 21418, 50834, 108948, 40526, 107809, 30512, 50834, 33121, 16995, 26854, 121894, 116446, 33334, 47884, 105908, 27384, 102769, 38641, 9174, 127480, 64121, 29295, 50834, 16144, 104983, 102052, 71289, 78183, 33503, 32149, 62004, 16144, 127480, 110101, 57207, 16556, 71289, 30813, 106624, 118368, 47884, 121142, 103470, 5486, 127480, 56965, 110101, 57207, 19732, 68408, 114483, 122981, 42634, 22398, 124905, 76947, 127480, 19732, 127480, 16144, 56965, 16144, 21980, 248, 33121, 32977, 18655, 30369, 104466, 39926, 17297, 65316, 9174, 48154, 37026, 110362, 71289, 102923, 102332, 16556, 23039, 30297, 9080, 104680, 16144, 64810, 33710, 96841, 109, 39880, 19732, 125702, 127397, 127480, 70626, 103242, 104599, 111848, 23187, 23538, 111800, 120761, 114475, 22023, 15024, 5486, 102831, 28190, 104004, 15024, 127480, 104088, 59739, 107441, 103856, 16995, 38574, 106090, 16556, 102456, 16995, 82533, 62004, 100481, 47884, 105908, 27384, 102769, 115717, 33541, 9174, 127480, 70626, 103242, 104599, 111848, 127480, 70626, 111800, 120761, 5486, 80539, 127480, 70626, 108581, 21990, 101559, 111848, 9080, 40053, 16144, 40526, 101921, 242, 102663, 39880, 16144, 41007, 123160, 33563, 105298, 64467, 106839, 5486, 127480, 70626, 120824, 99397, 120761, 109519, 16556, 33334, 110482, 111331 ]
[ 24273, 125001, 33503, 42891, 116826, 16995, 79721, 33503, 21043, 66776, 85300, 246, 59563, 102456, 60868, 121057, 127480, 70626, 103296, 33334, 95221, 117355, 20230, 48154, 50021, 111813, 72315, 9174, 30697, 8713, 2345, 4235, 198, 103242, 109519, 122491, 61337, 108638, 105268, 105065, 38093, 112731, 246, 59563, 102456, 60868, 121057, 127480, 70626, 128001, 128000, 22656, 9080, 32977, 95497, 5257, 3247, 51991, 102416, 33334, 104087, 102800, 90620, 50834, 97135, 61689, 9174, 110191, 118372, 83947, 38093, 87177, 16144, 44971, 26269, 22398, 16073, 126867, 114654, 29295, 78183, 55031, 123733, 76947, 103892, 29295, 89151, 42891, 101828, 117084, 114604, 1811, 107943, 127749, 30512, 18904, 111098, 54926, 113009, 103359, 117120, 25333, 30512, 16995, 47884, 59739, 32149, 48154, 126362, 78434, 9174, 72342, 42891, 32149, 47884, 109134, 95221, 16556, 27704, 109013, 83947, 38093, 87177, 32977, 5486, 121410, 18904, 58426, 105933, 121894, 118816, 71634, 108744, 29295, 36117, 250, 17129, 76947, 103801, 61689, 125939, 18904, 16144, 77219, 30512, 121846, 20230, 5486, 112371, 104328, 102395, 109431, 26854, 44971, 26269, 22398, 16073, 82973, 126130, 103188, 48154, 106624, 70897, 9174, 567, 49854, 122, 117120, 25333, 20713, 5232, 102433, 102158, 29295, 87177, 122101, 105408, 30512, 102647, 104369, 198, 44971, 26269, 22398, 16073, 16325, 16144, 103359, 117120, 25333, 15682, 74482, 108680, 33334, 108044, 58942, 78434, 29295, 5486, 30926, 112772, 107253, 104874, 30512, 126693, 101182, 113314, 103181, 104699, 105908, 125545, 9174, 27452, 116285, 5486, 32335, 32977, 105184, 103350, 26854, 104468, 198, 102433, 102158, 29295, 113954, 108608, 105408, 30512, 102647, 104369, 100909, 38641, 9174, 102433, 16556, 101544, 8107, 114654, 30512, 100927, 107800, 106613, 111186, 107407, 5486, 107943, 105408, 32977, 83747, 103470, 124897, 113637, 105933, 24273, 127303, 104984, 111476, 16995, 75694, 44971, 26269, 22398, 16073, 126867, 104405, 120837, 38093, 87177, 20230, 50520, 108, 17129, 76947, 114604, 110018, 5486, 31640, 78183, 112586, 102433, 102158, 16556, 108044, 107800, 102518, 44915, 30512, 124118, 101832, 104984, 5486, 109431, 102769, 26854, 21405, 102321, 30512, 100927, 107290, 124089, 116497, 38641, 9174, 37823, 32131, 107840, 56051, 121894, 16556, 44971, 26269, 22398, 16073, 29295, 101682, 76622, 102204, 104984, 17905, 104067, 32977, 103856, 115737, 31431, 33541, 1811, 16995, 75694, 104856, 104984, 102433, 102158, 16556, 87177, 122101, 117501, 15682, 110745, 112495, 51385, 64209, 99750, 107294, 105722, 31431, 33541, 9174, 567, 49854, 122, 117120, 25333, 25963, 5232, 109215, 121711, 120550, 114654, 15682, 103911, 62004, 104873, 115694, 33334, 47884, 198, 44971, 26269, 22398, 16073, 16556, 87177, 17663, 57933, 108941, 29295, 104662, 17129, 103836, 126513, 111476, 109215, 121711, 120550, 114654, 15682, 103911, 62004, 104873, 115694, 33334, 47884, 106592, 33334, 125683, 62004, 78434, 9174, 85701, 15682, 86127, 29295, 61826, 9080, 106613, 111186, 56051, 16144, 119627, 106116, 9080, 115553, 104088, 28713, 103826, 45829, 30512, 114654, 16556, 108044, 58942, 101200, 114267, 104983, 123085, 16144, 46091, 27384, 115553, 111842, 115791, 110229, 17129, 77181, 103424, 102518, 16144, 119627, 863, 3923, 374, 433, 1093, 12671, 19732, 104655, 32149, 103468, 112661, 122756, 107666, 120299, 121256, 9174, 13177, 107040, 111, 12870, 108, 16144, 99741, 117831, 30512, 102923, 56051, 163, 73609, 102802, 71289, 107188, 102571, 55038, 16144, 9039, 104680, 29295, 102491, 16995, 104773, 105360, 64121, 30512, 106644, 121710, 31431, 89753, 33121, 100481, 47884, 115847, 29295, 115553, 16144, 91774, 67645, 107404, 38641, 111329, 19732, 108044, 107800, 102518, 16144, 119627, 117119, 15120, 59739, 109431, 102769, 26854, 110904, 102158, 32977, 120267, 109033, 58942, 21405, 102321, 32977, 114284, 111179, 32149, 81219, 101860, 27384, 104721, 110482, 100472, 127749, 117084, 103801, 16995, 79721, 9174, 102971, 91077, 13177, 80805, 44971, 65575, 66383, 95604, 99849, 16144, 28190, 101828, 103868, 126758, 21405, 102321, 20230, 110226, 117864, 16144, 119627, 5486, 85707, 62004, 55031, 57933, 108941, 29295, 104662, 17129, 107462, 104984, 5486, 109215, 26854, 114654, 30512, 102181, 50834, 104650, 107436, 33334, 47884, 115789, 103082, 79721, 9174, 44971, 26269, 22398, 16073, 30512, 105755, 105843, 103350, 124545, 103846, 105352, 30926, 25580, 107253, 104874, 29295, 27384, 102769, 38641, 9174, 567, 49854, 122, 117120, 25333, 34617, 5232, 79785, 98499, 16556, 40526, 30512, 101557, 96, 33503, 39926, 33334, 47884, 198, 108031, 15120, 59739, 5486, 44971, 26269, 22398, 16073, 123628, 107253, 104874, 103306, 198, 79785, 98499, 32977, 107734, 20230, 118013, 33541, 1811, 67645, 103171, 57933, 62903, 71634, 72661, 104712, 105879, 99849, 27479, 32977, 79785, 98499, 39926, 55031, 44971, 26269, 22398, 16073, 109156, 104984, 105755, 22398, 91062, 106240, 20230, 87177, 17663, 105908, 125545, 9174, 27452, 116285, 111476, 44971, 26269, 22398, 16073, 16556, 87177, 17663, 103911, 23187, 16144, 57933, 108941, 109853, 79785, 98499, 39926, 33334, 76622, 81219, 38093, 87177, 16325, 16144, 101198, 22398, 32977, 107188, 31431, 114485, 104533, 91763, 61689, 9174, 79785, 98499, 16144, 8239, 114503, 109904, 108167, 103214, 64121, 24273, 15682, 117896, 16144, 77219, 16556, 33334, 108044, 58942, 127145, 105879, 121846, 116446, 72315, 9174, 567, 49854, 122, 117120, 25333, 46702, 5232, 109933, 67075, 16144, 76706, 11883, 198, 108618, 111331, 25963, 59739, 15682, 44971, 26269, 22398, 16073, 16325, 16144, 103359, 117120, 25333, 30512, 48154, 126362, 78434, 9174, 110191, 118372, 83947, 38093, 87177, 113468, 15682, 198, 109933, 67075, 121432, 29295, 59739, 119188, 107803, 115991, 33541, 1811, 104655, 50834, 18655, 110615, 5486, 87177, 72342, 100604, 5486, 107943, 110018, 15682, 88435, 113245, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 29295, 107734, 20230, 118013, 33541, 9174, 105408, 111363, 117943, 64121, 24273, 119627, 111476, 9, 19732, 78244, 116285, 108044, 116547, 33541, 1811, 104874, 107290, 33334, 126145, 51385, 64209, 26854, 123646, 106240, 38641, 1811, 1054, 29089, 499, 3350, 1523, 1148, 499, 1120, 1071, 12671, 5736, 15120, 24273, 5486, 117896, 29295, 108044, 58942, 106956, 44915, 30512, 88435, 117657, 104468, 114715, 111108, 87844, 27479, 29295, 115442, 31431, 33541, 1811, 108729, 112535, 87177, 72342, 100604, 114654, 15682, 102181, 119064, 32977, 111108, 102800, 55031, 38641, 9174, 90620, 36896, 51330, 127749, 20230, 32335, 109431, 26854, 114654, 15682, 99849, 112130, 91006, 19732, 118789, 27452, 30512, 108044, 58942, 106272, 120824, 101832, 30369, 101513, 38093, 15682, 83747, 103470, 100604, 106046, 61689, 113637, 127749, 30512, 50338, 104662, 54926, 102052, 111476, 111602, 117735, 121432, 29295, 47000, 119188, 109933, 67075, 30512, 38129, 54926, 32149, 14783, 111602, 117735, 124905, 30297, 41007, 29295, 32335, 32977, 95221, 117355, 38641, 1811, 87109, 109683, 26854, 114654, 72661, 5486, 120007, 20230, 115552, 29295, 108044, 116547, 30813, 58942, 126693, 109683, 26854, 21405, 102321, 20230, 74245, 39926, 120700, 33541, 109900, 30512, 48864, 108710, 126693, 33671, 15682, 22398, 91062, 106240, 20230, 87177, 122101, 116497, 38641, 9174, 567, 49854, 122, 117120, 25333, 44597, 13177, 78183, 124403, 66383, 15682, 121381, 31431, 108044, 105262, 123646, 106240, 114792, 76947, 33334, 47884, 198, 114626, 107898, 108044, 58942, 56051, 16995, 104468, 111476, 27452, 58942, 44971, 26269, 22398, 16073, 126867, 87177, 72342, 100604, 121894, 101983, 114598, 118220, 30369, 109215, 120937, 102677, 100909, 38641, 9174, 105994, 116907, 29295, 61826, 9080, 107943, 127749, 110276, 110018, 5486, 105408, 15682, 15120, 21990, 103435, 116, 51609, 115552, 30512, 21980, 110, 64121, 18655, 103950, 103306, 120700, 5486, 38093, 87177, 29295, 108968, 102769, 110615, 104466, 60868, 121057, 39926, 120700, 79721, 66327, 51330, 105933, 127749, 15682, 101557, 96, 115032, 102189, 26854, 10646, 102131, 112391, 79721, 9174, 38641, 105879, 111476, 87177, 72342, 123733, 114598, 104712, 71289, 25129, 20230, 106391, 105262, 112973, 104257, 27479, 126521, 106046, 61689, 1811, 104405, 120837, 78183, 55031, 123207, 117896, 16144, 123646, 106240, 5486, 1054, 19701, 11, 358, 1541, 1431, 2216, 3619, 13, 3053, 584, 3351, 389, 311, 279, 1828, 8712, 11571, 10110, 102782, 15024, 117735, 100604, 102189, 107493, 5486, 114652, 78183, 124403, 55031, 33671, 16144, 20251, 70563, 48552, 20230, 60634, 76947, 120700, 33541, 32149, 11571, 7705, 89874, 19732, 87177, 104482, 30512, 104721, 58942, 106116, 44915, 15682, 74482, 16556, 106644, 121710, 31431, 109095, 108710, 39926, 33671, 20230, 76706, 32149, 72342, 81219, 104712, 38641, 1811, 67645, 33121, 103378, 114654, 29295, 89753, 88399, 95, 20230, 87177, 122101, 17792, 72661, 5486, 87177, 104482, 113468, 15682, 37087, 47884, 112690, 29295, 16556, 38144, 22957, 100604, 102677, 127749, 15682, 117902, 106624, 124897, 109900, 15682, 102433, 102158, 72661, 112361, 105908, 78244, 58942, 33541, 9174, 117896, 103306, 15682, 13177, 38093, 87177, 20230, 50520, 108, 117864, 33503, 104405, 119607, 66383, 127408, 20230, 112391, 38144, 114732, 102944, 119627, 111476, 77693, 32977, 96412, 107436, 115541, 108710, 118816, 87447, 50834, 74245, 76947, 126407, 104004, 106592, 33334, 125683, 62004, 78434, 9174, 116900, 20230, 22398, 91062, 106240, 20230, 87177, 122101, 87177, 104482, 118816, 5486, 37026, 22023, 19732, 107173, 125030, 111243, 126976, 102395, 26854, 95221, 17620, 16556, 44971, 26269, 22398, 16073, 30512, 105721, 105262, 9080, 32977, 57903, 33541, 1811, 107943, 104346, 20230, 83947, 38093, 87177, 16144, 115541, 108710, 30512, 30358, 101832, 106272, 83747, 21105, 248, 59739, 87177, 122101, 119318, 116310, 30512, 108285, 102639, 100481, 76622, 81219, 104712, 106046, 61689, 9174, 112371, 104328, 121846, 116446, 64121, 38144, 72315, 9174, 22656, 9080, 32977, 114626, 103296, 33334, 114308, 40862, 104712, 90620, 50834, 97135, 16995, 79721, 1811, 128001, 128000, 76208, 104703, 102397, 123524, 102677, 120613, 30512, 53283, 76947, 61689, 32149, 11571, 48154, 85791, 15682, 43514, 104328, 62004, 11571, 104712, 58942, 115847, 16556, 13177, 16995, 85791, 15682, 104328, 62004, 66383, 98499, 64121, 33541, 9174, 27384, 104721, 58666, 106624, 36735, 94, 31958, 115287, 102677, 76208, 104703, 102397, 123524, 15682, 5486, 103460, 104067, 75513, 106699, 16144, 101544, 58850, 103306, 21990, 123606, 79721, 9174, 37271, 18904, 15682, 5486, 109453, 16144, 21990, 96311, 107, 109853, 123011, 62004, 106956, 106046, 61689, 9174, 567, 110568, 104703, 102397, 123524, 16144, 120613, 16144, 68171, 37507, 15682, 95532, 103460, 104067, 75513, 106699, 19732, 37656, 102452, 9458, 103926, 123524, 110792, 56965, 16144, 101544, 58850, 103195, 76208, 104703, 102397, 123524, 1811, 109453, 15682, 5486, 75513, 106699, 125030, 76947, 85707, 107436, 117255, 84844, 72661, 57903, 79721, 9174, 40265, 39177, 5486, 46729, 106978, 30512, 50021, 106307, 107726, 5486, 46729, 30512, 74482, 101083, 20230, 108618, 17663, 102677, 115552, 72661, 71208, 116581, 16144, 45918, 243, 21990, 15682, 67645, 103171, 46729, 72661, 125494, 84389, 100481, 79721, 9174, 75513, 106699, 32977, 58426, 104770, 20230, 118487, 33121, 101860, 36896, 21990, 17129, 106824, 109749, 104468, 118374, 66383, 104662, 107436, 32149, 107277, 5486, 71208, 116581, 13372, 67016, 113727, 100604, 16556, 103926, 123524, 16144, 20834, 106518, 30512, 109169, 58942, 79721, 9174, 80673, 5486, 21990, 17129, 103468, 104468, 106157, 119775, 31540, 103926, 114420, 58850, 117255, 16556, 56051, 1811, 165, 115, 117, 21441, 248, 26854, 75513, 106699, 15682, 5486, 113727, 101732, 120613, 30512, 58426, 110674, 58850, 117255, 107294, 76622, 36896, 76208, 104703, 102397, 123524, 66383, 121256, 9174, 51330, 109335, 5486, 103460, 104067, 46729, 16144, 61304, 108565, 72661, 101182, 13177, 103460, 104067, 71005, 46729, 61304, 108565, 10646, 105352, 61304, 116216, 61689, 9174, 567, 110568, 104703, 102397, 123524, 107118, 67645, 103171, 113679, 95532, 71208, 116581, 103195, 106592, 125494, 116216, 45918, 243, 21990, 56051, 76208, 104703, 102397, 123524, 9174, 58426, 125494, 71689, 16144, 36735, 94, 31958, 30813, 5486, 58666, 21105, 243, 115287, 33503, 106624, 5486, 104503, 9458, 75513, 106699, 15682, 13177, 76208, 104703, 102397, 29295, 71208, 115287, 105110, 66383, 40053, 104680, 103001, 228, 16995, 101732, 108680, 103351, 102131, 38641, 9174, 53900, 5486, 108416, 16556, 106116, 74482, 110139, 55038, 102508, 102, 41920, 31640, 30832, 102508, 102, 36668, 117282, 103460, 104067, 112427, 106699, 32977, 5486, 125688, 16144, 126053, 30813, 30512, 117943, 112586, 107113, 117840, 9174, 126053, 30813, 30512, 10414, 225, 58942, 110071, 15120, 24273, 16556, 5486, 108931, 21990, 123606, 108931, 101662, 43514, 103195, 76208, 104703, 102397, 123524, 15682, 124563, 107188, 32149, 101778, 49409, 13870, 223, 71289, 110139, 55038, 95221, 105284, 101983, 100204, 104004, 105908, 106084, 101860, 111476, 74482, 43032, 78434, 29295, 106627, 106367, 39926, 112454, 76947, 50834, 38144, 55031, 32977, 107202, 8239, 112, 56051, 105908, 78183, 126469, 61689, 9174, 102321, 31640, 72661, 24273, 78244, 39209, 100204, 111331, 112690, 30512, 83601, 233, 104533, 55031, 102518, 31431, 5486, 100845, 115, 16995, 19732, 57980, 27929, 30046, 121247, 16995, 123410, 105933, 106848, 32977, 57903, 33541, 9174, 37271, 126036, 125821, 43511, 32938, 36785, 102677, 37689, 109375, 16144, 45736, 102518, 70277, 109076, 113146, 5486, 76208, 104703, 102397, 123524, 16144, 107202, 8239, 112, 15682, 101067, 66201, 20230, 119237, 47884, 112391, 33541, 9174, 567, 122738, 248, 21589, 119, 16144, 25580, 5486, 85707, 107436, 110139, 55038, 30512, 120824, 104028, 198, 30813, 38144, 5486, 76208, 104703, 102397, 123524, 16144, 106367, 21589, 119, 16144, 120007, 103306, 123680, 102639, 109115, 104468, 5486, 109568, 8192, 115, 27384, 45163, 103472, 122088, 101701, 46729, 104915, 16144, 103070, 71208, 5486, 104500, 50211, 112427, 119883, 16556, 56051, 9174, 22656, 37507, 105110, 81219, 5486, 76208, 104703, 102397, 123524, 16144, 101987, 104127, 102334, 108931, 117656, 91774, 126328, 58426, 110674, 70277, 109076, 109156, 102697, 56051, 24273, 29295, 124349, 9554, 105352, 109972, 106529, 9554, 105352, 105465, 126529, 119627, 5486, 116773, 107290, 104503, 75513, 106699, 15682, 112160, 27479, 109453, 30512, 110139, 55038, 20230, 112454, 66870, 107726, 33541, 9174, 40265, 125344, 109335, 36896, 103460, 104067, 71005, 46729, 61304, 108565, 10646, 105352, 88852, 119775, 50520, 111, 106624, 102181, 102532, 57903, 33541, 9174, 13177, 103305, 9953, 16144, 16555, 224, 108655, 16555, 228, 38093, 126867, 112454, 121118, 76208, 104703, 102397, 123524, 16144, 103846, 5486, 75513, 106699, 15682, 110139, 55038, 16325, 16144, 102865, 102571, 71289, 103787, 46729, 102571, 121536, 20230, 103809, 230, 19630, 254, 119707, 76622, 107726, 106116, 103826, 45829, 30512, 103309, 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 ]
[ 24273, 125001, 33503, 42891, 116826, 16995, 79721, 33503, 21043, 66776, 85300, 246, 59563, 102456, 60868, 121057, 127480, 70626, 103296, 33334, 95221, 117355, 20230, 48154, 50021, 111813, 72315, 9174, 30697, 8713, 2345, 4235, 198, 103242, 109519, 122491, 61337, 108638, 105268, 105065, 38093, 112731, 246, 59563, 102456, 60868, 121057, 127480, 70626, 128001, 128000, 22656, 9080, 32977, 95497, 5257, 3247, 51991, 102416, 33334, 104087, 102800, 90620, 50834, 97135, 61689, 9174, 110191, 118372, 83947, 38093, 87177, 16144, 44971, 26269, 22398, 16073, 126867, 114654, 29295, 78183, 55031, 123733, 76947, 103892, 29295, 89151, 42891, 101828, 117084, 114604, 1811, 107943, 127749, 30512, 18904, 111098, 54926, 113009, 103359, 117120, 25333, 30512, 16995, 47884, 59739, 32149, 48154, 126362, 78434, 9174, 72342, 42891, 32149, 47884, 109134, 95221, 16556, 27704, 109013, 83947, 38093, 87177, 32977, 5486, 121410, 18904, 58426, 105933, 121894, 118816, 71634, 108744, 29295, 36117, 250, 17129, 76947, 103801, 61689, 125939, 18904, 16144, 77219, 30512, 121846, 20230, 5486, 112371, 104328, 102395, 109431, 26854, 44971, 26269, 22398, 16073, 82973, 126130, 103188, 48154, 106624, 70897, 9174, 567, 49854, 122, 117120, 25333, 20713, 5232, 102433, 102158, 29295, 87177, 122101, 105408, 30512, 102647, 104369, 198, 44971, 26269, 22398, 16073, 16325, 16144, 103359, 117120, 25333, 15682, 74482, 108680, 33334, 108044, 58942, 78434, 29295, 5486, 30926, 112772, 107253, 104874, 30512, 126693, 101182, 113314, 103181, 104699, 105908, 125545, 9174, 27452, 116285, 5486, 32335, 32977, 105184, 103350, 26854, 104468, 198, 102433, 102158, 29295, 113954, 108608, 105408, 30512, 102647, 104369, 100909, 38641, 9174, 102433, 16556, 101544, 8107, 114654, 30512, 100927, 107800, 106613, 111186, 107407, 5486, 107943, 105408, 32977, 83747, 103470, 124897, 113637, 105933, 24273, 127303, 104984, 111476, 16995, 75694, 44971, 26269, 22398, 16073, 126867, 104405, 120837, 38093, 87177, 20230, 50520, 108, 17129, 76947, 114604, 110018, 5486, 31640, 78183, 112586, 102433, 102158, 16556, 108044, 107800, 102518, 44915, 30512, 124118, 101832, 104984, 5486, 109431, 102769, 26854, 21405, 102321, 30512, 100927, 107290, 124089, 116497, 38641, 9174, 37823, 32131, 107840, 56051, 121894, 16556, 44971, 26269, 22398, 16073, 29295, 101682, 76622, 102204, 104984, 17905, 104067, 32977, 103856, 115737, 31431, 33541, 1811, 16995, 75694, 104856, 104984, 102433, 102158, 16556, 87177, 122101, 117501, 15682, 110745, 112495, 51385, 64209, 99750, 107294, 105722, 31431, 33541, 9174, 567, 49854, 122, 117120, 25333, 25963, 5232, 109215, 121711, 120550, 114654, 15682, 103911, 62004, 104873, 115694, 33334, 47884, 198, 44971, 26269, 22398, 16073, 16556, 87177, 17663, 57933, 108941, 29295, 104662, 17129, 103836, 126513, 111476, 109215, 121711, 120550, 114654, 15682, 103911, 62004, 104873, 115694, 33334, 47884, 106592, 33334, 125683, 62004, 78434, 9174, 85701, 15682, 86127, 29295, 61826, 9080, 106613, 111186, 56051, 16144, 119627, 106116, 9080, 115553, 104088, 28713, 103826, 45829, 30512, 114654, 16556, 108044, 58942, 101200, 114267, 104983, 123085, 16144, 46091, 27384, 115553, 111842, 115791, 110229, 17129, 77181, 103424, 102518, 16144, 119627, 863, 3923, 374, 433, 1093, 12671, 19732, 104655, 32149, 103468, 112661, 122756, 107666, 120299, 121256, 9174, 13177, 107040, 111, 12870, 108, 16144, 99741, 117831, 30512, 102923, 56051, 163, 73609, 102802, 71289, 107188, 102571, 55038, 16144, 9039, 104680, 29295, 102491, 16995, 104773, 105360, 64121, 30512, 106644, 121710, 31431, 89753, 33121, 100481, 47884, 115847, 29295, 115553, 16144, 91774, 67645, 107404, 38641, 111329, 19732, 108044, 107800, 102518, 16144, 119627, 117119, 15120, 59739, 109431, 102769, 26854, 110904, 102158, 32977, 120267, 109033, 58942, 21405, 102321, 32977, 114284, 111179, 32149, 81219, 101860, 27384, 104721, 110482, 100472, 127749, 117084, 103801, 16995, 79721, 9174, 102971, 91077, 13177, 80805, 44971, 65575, 66383, 95604, 99849, 16144, 28190, 101828, 103868, 126758, 21405, 102321, 20230, 110226, 117864, 16144, 119627, 5486, 85707, 62004, 55031, 57933, 108941, 29295, 104662, 17129, 107462, 104984, 5486, 109215, 26854, 114654, 30512, 102181, 50834, 104650, 107436, 33334, 47884, 115789, 103082, 79721, 9174, 44971, 26269, 22398, 16073, 30512, 105755, 105843, 103350, 124545, 103846, 105352, 30926, 25580, 107253, 104874, 29295, 27384, 102769, 38641, 9174, 567, 49854, 122, 117120, 25333, 34617, 5232, 79785, 98499, 16556, 40526, 30512, 101557, 96, 33503, 39926, 33334, 47884, 198, 108031, 15120, 59739, 5486, 44971, 26269, 22398, 16073, 123628, 107253, 104874, 103306, 198, 79785, 98499, 32977, 107734, 20230, 118013, 33541, 1811, 67645, 103171, 57933, 62903, 71634, 72661, 104712, 105879, 99849, 27479, 32977, 79785, 98499, 39926, 55031, 44971, 26269, 22398, 16073, 109156, 104984, 105755, 22398, 91062, 106240, 20230, 87177, 17663, 105908, 125545, 9174, 27452, 116285, 111476, 44971, 26269, 22398, 16073, 16556, 87177, 17663, 103911, 23187, 16144, 57933, 108941, 109853, 79785, 98499, 39926, 33334, 76622, 81219, 38093, 87177, 16325, 16144, 101198, 22398, 32977, 107188, 31431, 114485, 104533, 91763, 61689, 9174, 79785, 98499, 16144, 8239, 114503, 109904, 108167, 103214, 64121, 24273, 15682, 117896, 16144, 77219, 16556, 33334, 108044, 58942, 127145, 105879, 121846, 116446, 72315, 9174, 567, 49854, 122, 117120, 25333, 46702, 5232, 109933, 67075, 16144, 76706, 11883, 198, 108618, 111331, 25963, 59739, 15682, 44971, 26269, 22398, 16073, 16325, 16144, 103359, 117120, 25333, 30512, 48154, 126362, 78434, 9174, 110191, 118372, 83947, 38093, 87177, 113468, 15682, 198, 109933, 67075, 121432, 29295, 59739, 119188, 107803, 115991, 33541, 1811, 104655, 50834, 18655, 110615, 5486, 87177, 72342, 100604, 5486, 107943, 110018, 15682, 88435, 113245, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 29295, 107734, 20230, 118013, 33541, 9174, 105408, 111363, 117943, 64121, 24273, 119627, 111476, 9, 19732, 78244, 116285, 108044, 116547, 33541, 1811, 104874, 107290, 33334, 126145, 51385, 64209, 26854, 123646, 106240, 38641, 1811, 1054, 29089, 499, 3350, 1523, 1148, 499, 1120, 1071, 12671, 5736, 15120, 24273, 5486, 117896, 29295, 108044, 58942, 106956, 44915, 30512, 88435, 117657, 104468, 114715, 111108, 87844, 27479, 29295, 115442, 31431, 33541, 1811, 108729, 112535, 87177, 72342, 100604, 114654, 15682, 102181, 119064, 32977, 111108, 102800, 55031, 38641, 9174, 90620, 36896, 51330, 127749, 20230, 32335, 109431, 26854, 114654, 15682, 99849, 112130, 91006, 19732, 118789, 27452, 30512, 108044, 58942, 106272, 120824, 101832, 30369, 101513, 38093, 15682, 83747, 103470, 100604, 106046, 61689, 113637, 127749, 30512, 50338, 104662, 54926, 102052, 111476, 111602, 117735, 121432, 29295, 47000, 119188, 109933, 67075, 30512, 38129, 54926, 32149, 14783, 111602, 117735, 124905, 30297, 41007, 29295, 32335, 32977, 95221, 117355, 38641, 1811, 87109, 109683, 26854, 114654, 72661, 5486, 120007, 20230, 115552, 29295, 108044, 116547, 30813, 58942, 126693, 109683, 26854, 21405, 102321, 20230, 74245, 39926, 120700, 33541, 109900, 30512, 48864, 108710, 126693, 33671, 15682, 22398, 91062, 106240, 20230, 87177, 122101, 116497, 38641, 9174, 567, 49854, 122, 117120, 25333, 44597, 13177, 78183, 124403, 66383, 15682, 121381, 31431, 108044, 105262, 123646, 106240, 114792, 76947, 33334, 47884, 198, 114626, 107898, 108044, 58942, 56051, 16995, 104468, 111476, 27452, 58942, 44971, 26269, 22398, 16073, 126867, 87177, 72342, 100604, 121894, 101983, 114598, 118220, 30369, 109215, 120937, 102677, 100909, 38641, 9174, 105994, 116907, 29295, 61826, 9080, 107943, 127749, 110276, 110018, 5486, 105408, 15682, 15120, 21990, 103435, 116, 51609, 115552, 30512, 21980, 110, 64121, 18655, 103950, 103306, 120700, 5486, 38093, 87177, 29295, 108968, 102769, 110615, 104466, 60868, 121057, 39926, 120700, 79721, 66327, 51330, 105933, 127749, 15682, 101557, 96, 115032, 102189, 26854, 10646, 102131, 112391, 79721, 9174, 38641, 105879, 111476, 87177, 72342, 123733, 114598, 104712, 71289, 25129, 20230, 106391, 105262, 112973, 104257, 27479, 126521, 106046, 61689, 1811, 104405, 120837, 78183, 55031, 123207, 117896, 16144, 123646, 106240, 5486, 1054, 19701, 11, 358, 1541, 1431, 2216, 3619, 13, 3053, 584, 3351, 389, 311, 279, 1828, 8712, 11571, 10110, 102782, 15024, 117735, 100604, 102189, 107493, 5486, 114652, 78183, 124403, 55031, 33671, 16144, 20251, 70563, 48552, 20230, 60634, 76947, 120700, 33541, 32149, 11571, 7705, 89874, 19732, 87177, 104482, 30512, 104721, 58942, 106116, 44915, 15682, 74482, 16556, 106644, 121710, 31431, 109095, 108710, 39926, 33671, 20230, 76706, 32149, 72342, 81219, 104712, 38641, 1811, 67645, 33121, 103378, 114654, 29295, 89753, 88399, 95, 20230, 87177, 122101, 17792, 72661, 5486, 87177, 104482, 113468, 15682, 37087, 47884, 112690, 29295, 16556, 38144, 22957, 100604, 102677, 127749, 15682, 117902, 106624, 124897, 109900, 15682, 102433, 102158, 72661, 112361, 105908, 78244, 58942, 33541, 9174, 117896, 103306, 15682, 13177, 38093, 87177, 20230, 50520, 108, 117864, 33503, 104405, 119607, 66383, 127408, 20230, 112391, 38144, 114732, 102944, 119627, 111476, 77693, 32977, 96412, 107436, 115541, 108710, 118816, 87447, 50834, 74245, 76947, 126407, 104004, 106592, 33334, 125683, 62004, 78434, 9174, 116900, 20230, 22398, 91062, 106240, 20230, 87177, 122101, 87177, 104482, 118816, 5486, 37026, 22023, 19732, 107173, 125030, 111243, 126976, 102395, 26854, 95221, 17620, 16556, 44971, 26269, 22398, 16073, 30512, 105721, 105262, 9080, 32977, 57903, 33541, 1811, 107943, 104346, 20230, 83947, 38093, 87177, 16144, 115541, 108710, 30512, 30358, 101832, 106272, 83747, 21105, 248, 59739, 87177, 122101, 119318, 116310, 30512, 108285, 102639, 100481, 76622, 81219, 104712, 106046, 61689, 9174, 112371, 104328, 121846, 116446, 64121, 38144, 72315, 9174, 22656, 9080, 32977, 114626, 103296, 33334, 114308, 40862, 104712, 90620, 50834, 97135, 16995, 79721, 1811, 128001, 128000, 76208, 104703, 102397, 123524, 102677, 120613, 30512, 53283, 76947, 61689, 32149, 11571, 48154, 85791, 15682, 43514, 104328, 62004, 11571, 104712, 58942, 115847, 16556, 13177, 16995, 85791, 15682, 104328, 62004, 66383, 98499, 64121, 33541, 9174, 27384, 104721, 58666, 106624, 36735, 94, 31958, 115287, 102677, 76208, 104703, 102397, 123524, 15682, 5486, 103460, 104067, 75513, 106699, 16144, 101544, 58850, 103306, 21990, 123606, 79721, 9174, 37271, 18904, 15682, 5486, 109453, 16144, 21990, 96311, 107, 109853, 123011, 62004, 106956, 106046, 61689, 9174, 567, 110568, 104703, 102397, 123524, 16144, 120613, 16144, 68171, 37507, 15682, 95532, 103460, 104067, 75513, 106699, 19732, 37656, 102452, 9458, 103926, 123524, 110792, 56965, 16144, 101544, 58850, 103195, 76208, 104703, 102397, 123524, 1811, 109453, 15682, 5486, 75513, 106699, 125030, 76947, 85707, 107436, 117255, 84844, 72661, 57903, 79721, 9174, 40265, 39177, 5486, 46729, 106978, 30512, 50021, 106307, 107726, 5486, 46729, 30512, 74482, 101083, 20230, 108618, 17663, 102677, 115552, 72661, 71208, 116581, 16144, 45918, 243, 21990, 15682, 67645, 103171, 46729, 72661, 125494, 84389, 100481, 79721, 9174, 75513, 106699, 32977, 58426, 104770, 20230, 118487, 33121, 101860, 36896, 21990, 17129, 106824, 109749, 104468, 118374, 66383, 104662, 107436, 32149, 107277, 5486, 71208, 116581, 13372, 67016, 113727, 100604, 16556, 103926, 123524, 16144, 20834, 106518, 30512, 109169, 58942, 79721, 9174, 80673, 5486, 21990, 17129, 103468, 104468, 106157, 119775, 31540, 103926, 114420, 58850, 117255, 16556, 56051, 1811, 165, 115, 117, 21441, 248, 26854, 75513, 106699, 15682, 5486, 113727, 101732, 120613, 30512, 58426, 110674, 58850, 117255, 107294, 76622, 36896, 76208, 104703, 102397, 123524, 66383, 121256, 9174, 51330, 109335, 5486, 103460, 104067, 46729, 16144, 61304, 108565, 72661, 101182, 13177, 103460, 104067, 71005, 46729, 61304, 108565, 10646, 105352, 61304, 116216, 61689, 9174, 567, 110568, 104703, 102397, 123524, 107118, 67645, 103171, 113679, 95532, 71208, 116581, 103195, 106592, 125494, 116216, 45918, 243, 21990, 56051, 76208, 104703, 102397, 123524, 9174, 58426, 125494, 71689, 16144, 36735, 94, 31958, 30813, 5486, 58666, 21105, 243, 115287, 33503, 106624, 5486, 104503, 9458, 75513, 106699, 15682, 13177, 76208, 104703, 102397, 29295, 71208, 115287, 105110, 66383, 40053, 104680, 103001, 228, 16995, 101732, 108680, 103351, 102131, 38641, 9174, 53900, 5486, 108416, 16556, 106116, 74482, 110139, 55038, 102508, 102, 41920, 31640, 30832, 102508, 102, 36668, 117282, 103460, 104067, 112427, 106699, 32977, 5486, 125688, 16144, 126053, 30813, 30512, 117943, 112586, 107113, 117840, 9174, 126053, 30813, 30512, 10414, 225, 58942, 110071, 15120, 24273, 16556, 5486, 108931, 21990, 123606, 108931, 101662, 43514, 103195, 76208, 104703, 102397, 123524, 15682, 124563, 107188, 32149, 101778, 49409, 13870, 223, 71289, 110139, 55038, 95221, 105284, 101983, 100204, 104004, 105908, 106084, 101860, 111476, 74482, 43032, 78434, 29295, 106627, 106367, 39926, 112454, 76947, 50834, 38144, 55031, 32977, 107202, 8239, 112, 56051, 105908, 78183, 126469, 61689, 9174, 102321, 31640, 72661, 24273, 78244, 39209, 100204, 111331, 112690, 30512, 83601, 233, 104533, 55031, 102518, 31431, 5486, 100845, 115, 16995, 19732, 57980, 27929, 30046, 121247, 16995, 123410, 105933, 106848, 32977, 57903, 33541, 9174, 37271, 126036, 125821, 43511, 32938, 36785, 102677, 37689, 109375, 16144, 45736, 102518, 70277, 109076, 113146, 5486, 76208, 104703, 102397, 123524, 16144, 107202, 8239, 112, 15682, 101067, 66201, 20230, 119237, 47884, 112391, 33541, 9174, 567, 122738, 248, 21589, 119, 16144, 25580, 5486, 85707, 107436, 110139, 55038, 30512, 120824, 104028, 198, 30813, 38144, 5486, 76208, 104703, 102397, 123524, 16144, 106367, 21589, 119, 16144, 120007, 103306, 123680, 102639, 109115, 104468, 5486, 109568, 8192, 115, 27384, 45163, 103472, 122088, 101701, 46729, 104915, 16144, 103070, 71208, 5486, 104500, 50211, 112427, 119883, 16556, 56051, 9174, 22656, 37507, 105110, 81219, 5486, 76208, 104703, 102397, 123524, 16144, 101987, 104127, 102334, 108931, 117656, 91774, 126328, 58426, 110674, 70277, 109076, 109156, 102697, 56051, 24273, 29295, 124349, 9554, 105352, 109972, 106529, 9554, 105352, 105465, 126529, 119627, 5486, 116773, 107290, 104503, 75513, 106699, 15682, 112160, 27479, 109453, 30512, 110139, 55038, 20230, 112454, 66870, 107726, 33541, 9174, 40265, 125344, 109335, 36896, 103460, 104067, 71005, 46729, 61304, 108565, 10646, 105352, 88852, 119775, 50520, 111, 106624, 102181, 102532, 57903, 33541, 9174, 13177, 103305, 9953, 16144, 16555, 224, 108655, 16555, 228, 38093, 126867, 112454, 121118, 76208, 104703, 102397, 123524, 16144, 103846, 5486, 75513, 106699, 15682, 110139, 55038, 16325, 16144, 102865, 102571, 71289, 103787, 46729, 102571, 121536, 20230, 103809, 230, 19630, 254, 119707, 76622, 107726, 106116, 103826, 45829, 30512, 103309, 16144 ]
[ 110139, 55038, 60174, 16144, 162, 104, 241, 120938, 55031, 123524, 126365, 72342, 28713, 66383, 9174, 37271, 126036, 125821, 111371, 31431, 29295, 83747, 103470, 5486, 9953, 31958, 107277, 78519, 31958, 31431, 29295, 39850, 76171, 103351, 70277, 109076, 113146, 9174, 109163, 13357, 229, 107809, 20230, 121771, 115867, 103809, 230, 19630, 254, 29295, 111371, 30369, 101426, 86354, 15682, 5486, 76208, 104703, 102397, 123524, 20230, 67645, 33121, 103378, 16144, 99750, 103842, 246, 30512, 58318, 107800, 123253, 32149, 1811, 104503, 9458, 75513, 106699, 16144, 114284, 29295, 49691, 110, 81219, 33121, 33541, 9174, 567, 111279, 104915, 16144, 103070, 71208, 5486, 104500, 50211, 112427, 119883, 19732, 106367, 21589, 119, 1811, 25963, 8107, 123090, 106627, 106367, 198, 36735, 94, 31958, 16556, 58666, 17792, 19732, 107624, 106053, 16144, 76208, 104703, 102397, 123524, 15682, 5486, 46729, 104915, 16144, 103070, 71208, 103195, 104500, 50211, 112427, 119883, 19732, 106367, 21589, 119, 78434, 9174, 40265, 125344, 27384, 13372, 56965, 16144, 126326, 29295, 102717, 109416, 75513, 105838, 126326, 16556, 5486, 124572, 28190, 101908, 122924, 121894, 16144, 101908, 122924, 32977, 127181, 16325, 5486, 112427, 119883, 19732, 76208, 104703, 102397, 123524, 15682, 19732, 111243, 113850, 84949, 99, 17129, 100204, 16995, 101908, 122924, 103351, 117840, 9174, 37656, 102512, 77181, 5486, 108618, 104611, 26854, 120266, 51330, 41920, 107707, 122756, 127032, 15682, 21990, 123606, 104435, 100909, 117084, 61689, 9174, 33354, 237, 71289, 107188, 126326, 104654, 30512, 37705, 106358, 122558, 119627, 5486, 103911, 101067, 48915, 16144, 106084, 30926, 29295, 72718, 50834, 33541, 109900, 15682, 5486, 21405, 70141, 50834, 15682, 112427, 119883, 16144, 16937, 23039, 122561, 30512, 114667, 114267, 23226, 87844, 19732, 89753, 108789, 38641, 9174, 112427, 119883, 15682, 51330, 110018, 5486, 76208, 104703, 102397, 123524, 30512, 89046, 106824, 23039, 76622, 101860, 5486, 126326, 74482, 124059, 32149, 41920, 8107, 16556, 106633, 102697, 112212, 104195, 44416, 112535, 106627, 106367, 30512, 107726, 102204, 33541, 9174, 113850, 16144, 104712, 101908, 122924, 127303, 42891, 90620, 76622, 20230, 5486, 76208, 104703, 102397, 123524, 16144, 116292, 103001, 228, 29295, 101067, 66201, 125545, 9174, 567, 69839, 235, 106367, 30512, 100909, 48154, 19732, 47884, 64889, 100472, 76208, 104703, 102397, 123524, 106116, 114667, 15682, 95532, 112427, 119883, 19732, 106627, 106367, 107726, 109115, 39177, 5486, 76208, 104703, 102397, 123524, 15682, 112185, 123709, 97049, 1811, 126326, 16144, 103856, 16995, 70277, 109076, 113146, 72661, 114392, 20230, 105268, 16995, 8107, 106036, 95, 38641, 9174, 53508, 123, 105242, 5486, 104503, 16144, 75513, 106699, 15682, 106627, 102057, 223, 107726, 109115, 107571, 30512, 20648, 222, 33121, 20230, 114284, 117119, 27479, 32977, 88356, 106367, 16144, 87177, 114792, 76947, 50834, 33541, 29295, 5486, 76208, 104703, 102397, 123524, 29295, 88356, 106367, 54926, 109335, 57903, 105823, 104127, 56051, 1811, 99849, 104604, 123253, 32149, 9174, 103350, 15682, 5486, 110139, 55038, 102508, 102, 15682, 40265, 39177, 5486, 118347, 76171, 110792, 111062, 117824, 33334, 30297, 19732, 55723, 105226, 107113, 31431, 5486, 103350, 104983, 20230, 46456, 114035, 40053, 101544, 124905, 30046, 103306, 118347, 76171, 20230, 37705, 30369, 104309, 5486, 125559, 110792, 113841, 20230, 108882, 110993, 9554, 16556, 56051, 9174, 62903, 124766, 100927, 105352, 15973, 249, 37729, 16556, 5486, 76208, 104703, 102397, 123524, 121142, 103470, 106116, 103760, 16144, 103926, 123524, 32977, 62903, 37823, 57207, 127065, 115287, 19732, 108044, 58942, 124195, 61689, 9174, 104405, 39926, 125559, 19732, 108882, 110993, 9554, 107294, 105722, 31431, 114792, 78699, 103306, 102334, 104865, 109807, 114667, 15682, 5486, 75513, 106699, 16144, 102212, 64209, 20230, 57903, 33541, 9174, 75513, 106699, 19732, 78244, 116285, 36896, 21990, 17129, 106824, 109749, 112973, 30591, 19732, 110446, 8107, 103856, 118145, 36827, 17297, 17792, 101983, 103468, 66383, 117952, 104028, 108680, 5486, 32648, 33857, 16144, 119448, 102518, 123737, 38641, 9174, 122088, 101701, 106633, 102697, 29295, 116166, 120837, 5486, 21105, 108, 124749, 15682, 36827, 17297, 30512, 18655, 30369, 113871, 30512, 15017, 101, 38144, 38144, 104435, 19732, 117952, 106824, 61689, 9174, 58426, 124122, 122088, 101701, 46729, 104915, 16144, 103070, 71208, 9458, 112427, 119883, 19732, 107571, 16144, 75513, 105838, 126326, 16556, 56051, 9174, 80673, 108048, 29295, 75513, 106699, 30512, 109688, 117126, 103984, 54926, 106633, 102697, 102052, 89783, 82420, 101171, 227, 105578, 20230, 112391, 109115, 105879, 109954, 9174, 122088, 101701, 19732, 104473, 16144, 103721, 233, 29295, 111331, 101182, 112427, 119883, 19732, 76208, 104703, 102397, 123524, 29295, 106627, 106367, 107726, 109115, 104468, 110371, 115195, 31431, 29295, 117475, 16144, 114667, 16144, 117840, 9174, 67016, 32977, 5486, 107571, 30512, 117475, 16144, 115552, 16556, 114284, 109134, 100909, 103470, 5486, 33563, 96356, 16144, 113009, 75513, 106699, 15682, 51330, 74482, 5486, 62903, 124766, 100927, 16144, 123050, 30512, 82533, 62004, 110745, 106045, 54872, 26854, 62903, 37823, 57207, 127065, 101462, 102, 112586, 110498, 31431, 121216, 5486, 103350, 104983, 36149, 231, 100927, 30046, 32977, 43240, 9039, 20834, 127145, 9174, 62903, 37823, 57207, 127065, 115287, 76208, 104703, 102397, 123524, 15682, 5486, 104503, 16144, 51330, 71289, 31431, 24273, 30512, 104736, 62004, 109115, 105879, 109954, 32149, 9174, 89151, 103350, 15682, 78183, 107277, 107515, 29295, 5486, 109453, 15682, 104503, 20230, 108324, 30297, 104466, 62903, 124766, 100927, 16144, 100927, 58942, 20230, 123532, 76947, 21990, 96311, 107, 106063, 96356, 30512, 80631, 104, 50834, 5486, 23897, 104989, 60596, 66115, 97049, 16556, 102625, 112179, 103296, 110139, 55038, 60174, 16144, 22656, 113692, 61786, 104517, 16556, 127331, 33503, 121256, 9174, 567, 110568, 104703, 102397, 123524, 19732, 112427, 119883, 16144, 122756, 127032, 15682, 102334, 104865, 95532, 110229, 16556, 5486, 126920, 76208, 104703, 102397, 123524, 19732, 112427, 119883, 16144, 122756, 127032, 112987, 104435, 105879, 109954, 32149, 9174, 110139, 55038, 16144, 114172, 102512, 102473, 46729, 120577, 104873, 103854, 77181, 5486, 103350, 15682, 106627, 102057, 223, 107726, 109115, 110018, 20230, 76208, 104703, 102397, 123524, 15682, 96356, 83898, 255, 76947, 108086, 5486, 109243, 28741, 118124, 20230, 70277, 109076, 16556, 127032, 30512, 20834, 106518, 74482, 5486, 11795, 114, 45829, 20230, 56051, 102131, 38641, 9174, 127032, 15682, 71208, 116581, 16556, 5486, 105310, 103232, 7190, 121, 80866, 19732, 13372, 110498, 31431, 5486, 76208, 104703, 102397, 123524, 16144, 86894, 102, 29172, 108553, 5486, 36827, 102267, 253, 94923, 16144, 41920, 31640, 30832, 101987, 107430, 30512, 102781, 109013, 19732, 117952, 106824, 61689, 9174, 51330, 61304, 108565, 15682, 13177, 103460, 104067, 105838, 39276, 66383, 95604, 110139, 55038, 102508, 102, 16144, 110993, 109243, 17161, 102181, 20230, 107121, 103836, 120550, 16144, 119627, 5486, 29504, 38093, 111629, 124020, 16556, 34273, 110, 111182, 120837, 58426, 105933, 44915, 29295, 91774, 59739, 55031, 101860, 111476, 53900, 5486, 37656, 102512, 72661, 100604, 100909, 55031, 5486, 108618, 104611, 26854, 120266, 121308, 84150, 122, 53953, 16144, 108044, 108323, 77181, 101182, 19732, 113727, 102204, 33541, 29295, 5486, 110139, 55038, 77181, 108285, 47884, 108285, 17129, 103836, 33035, 108323, 16144, 117840, 9174, 567, 90040, 254, 119883, 16144, 124652, 16556, 37271, 114001, 16995, 30250, 224, 102639, 30369, 122558, 198, 70277, 109076, 113146, 15682, 62903, 124766, 100927, 29295, 119375, 121819, 103646, 113146, 103306, 53283, 124195, 61689, 1811, 102321, 31640, 127303, 104984, 5486, 113850, 29295, 103424, 118145, 106627, 106367, 104309, 102052, 57237, 31431, 107515, 9174, 41642, 116310, 16144, 115517, 71289, 62903, 37823, 57207, 127065, 115287, 30926, 103350, 104309, 16556, 104195, 44416, 112535, 106627, 106367, 103646, 100909, 71289, 106116, 74482, 15120, 21990, 122485, 16556, 103188, 48154, 56051, 100909, 1811, 70277, 109076, 113146, 102677, 113146, 20230, 21990, 17129, 103468, 116292, 108740, 123253, 32149, 9174, 101908, 9458, 112427, 119883, 29295, 120379, 30369, 5486, 101544, 102212, 72099, 101790, 237, 120824, 23530, 16144, 16144, 80631, 252, 104500, 94923, 102052, 5486, 76208, 104703, 102397, 123524, 20230, 43514, 26854, 104127, 116898, 85791, 15682, 113000, 105065, 102677, 76505, 29295, 109178, 58942, 124195, 61689, 9174, 21990, 123628, 41920, 107707, 113850, 16144, 103424, 30813, 30512, 53953, 102158, 30369, 117840, 101832, 1811, 128001, 128000, 89408, 60596, 9953, 5486, 29504, 80195, 101544, 117539, 103242, 109519, 102473, 120690, 16144, 102473, 104615, 29295, 123011, 109013, 125053, 103732, 104533, 5486, 104736, 53283, 111571, 16144, 25580, 38574, 106090, 102083, 126832, 44, 11487, 10110, 117355, 27479, 104736, 53283, 108502, 104698, 7705, 19732, 106053, 23187, 103646, 45736, 106036, 95, 30046, 30512, 19, 8107, 56965, 104862, 122561, 104873, 112984, 56051, 110229, 5486, 975, 4, 29295, 104736, 53283, 111571, 20230, 103130, 102189, 15120, 24273, 5486, 2790, 4, 15682, 120870, 119318, 116310, 103296, 18904, 109095, 121256, 1811, 102473, 104615, 15682, 37271, 74482, 5486, 120870, 20230, 18904, 109095, 56051, 107707, 66378, 17599, 112, 30512, 5486, 50520, 111, 106624, 106596, 109768, 47884, 113727, 38641, 9174, 14711, 63923, 255, 117812, 124417, 16144, 103911, 103181, 102052, 5486, 117401, 5486, 102456, 30926, 5486, 53283, 9554, 112415, 29295, 8239, 114503, 9554, 198, 104736, 53283, 111571, 29295, 125119, 30369, 103188, 39607, 102052, 25580, 38574, 106090, 19732, 107001, 126835, 117812, 124417, 10110, 117355, 27479, 104736, 53283, 108502, 104698, 7705, 102677, 117232, 115991, 33541, 1811, 126835, 117812, 124417, 107118, 113614, 26854, 121894, 19732, 104736, 53283, 111571, 107809, 56965, 30512, 104364, 15024, 5486, 9080, 40053, 104654, 20230, 46456, 108502, 15682, 124897, 29295, 5486, 54322, 22324, 112990, 103664, 44597, 8107, 16556, 103268, 9039, 71689, 29295, 104736, 53283, 111571, 20230, 116748, 78434, 1811, 112950, 21990, 8239, 112, 122502, 66870, 15682, 5486, 104736, 53283, 111571, 127253, 126835, 117812, 124417, 16144, 113073, 15682, 66115, 60596, 25963, 32307, 17792, 19732, 125053, 127145, 118844, 15682, 5486, 2397, 97049, 71689, 16144, 46702, 17792, 20230, 20713, 114754, 109638, 40265, 54926, 83687, 38641, 66327, 104736, 53283, 111571, 102052, 118969, 75694, 17129, 26854, 117809, 115991, 33541, 29295, 5486, 126835, 117812, 124417, 16144, 38574, 106090, 16556, 71005, 109519, 30512, 111671, 54926, 118733, 23226, 106594, 56051, 31431, 5486, 101544, 47884, 37026, 80195, 56051, 104654, 29295, 108608, 101200, 116748, 30512, 30250, 227, 117063, 30369, 105908, 125545, 66383, 15682, 5486, 30832, 101828, 126835, 126835, 107167, 122842, 106966, 94923, 101544, 16144, 31809, 102212, 108553, 21601, 106618, 105408, 9174, 104736, 53283, 111571, 107809, 16556, 32335, 32977, 127181, 107908, 103223, 126507, 68759, 11972, 25287, 104736, 53283, 111571, 16144, 107803, 5486, 102404, 111571, 54926, 103664, 508, 8107, 25580, 55031, 5486, 104736, 53283, 111571, 16144, 113385, 19732, 107001, 39880, 101198, 42634, 114265, 102832, 108337, 99695, 57326, 78459, 45923, 102677, 92877, 25766, 225, 53953, 29295, 101171, 111, 32943, 20230, 36117, 250, 109709, 15682, 100204, 62004, 5486, 101365, 106613, 104398, 112506, 30512, 105150, 127258, 54926, 118733, 104736, 53283, 121432, 29295, 83747, 21105, 248, 59739, 103167, 17297, 15024, 5486, 102404, 111571, 124259, 59739, 105722, 31431, 33541, 66327, 43240, 47884, 15682, 5486, 122013, 111848, 53953, 112727, 33121, 16144, 64467, 112419, 29295, 50834, 42891, 126929, 16556, 101682, 120761, 84389, 33541, 29295, 5486, 126835, 117812, 124417, 120332, 15682, 53953, 112727, 33121, 30512, 37026, 112854, 116216, 37026, 33503, 101682, 120761, 54926, 105908, 127181, 38641, 1811, 118899, 53953, 112727, 33121, 29295, 95221, 108176, 104309, 127408, 30512, 112391, 127567, 5486, 32149, 107277, 126268, 16144, 103242, 104599, 32149, 5486, 53953, 112727, 33121, 48915, 37507, 120950, 114363, 103722, 103242, 20230, 50021, 111813, 39926, 72315, 116326, 31809, 102212, 108553, 105408, 123505, 126835, 117812, 124417, 16144, 103911, 103181, 102052, 5486, 117401, 5486, 102456, 30926, 20230, 21601, 58942, 123213, 30512, 98499, 104004, 5486, 101171, 111, 20251, 44971, 120950, 114567, 123410, 5486, 43511, 17792, 19732, 97518, 78183, 76947, 106222, 112415, 117824, 30297, 123160, 53283, 9554, 112415, 29295, 8239, 114503, 9554, 38641, 118855, 5486, 117587, 126017, 103429, 71289, 101171, 111, 124305, 16325, 122603, 104473, 121819, 123160, 104654, 108710, 101557, 96, 103429, 110792, 116690, 32977, 64467, 112419, 116216, 61689, 66327, 117434, 30512, 40053, 11883, 103792, 24273, 15682, 61633, 29295, 109215, 38641, 1811, 113136, 120379, 117434, 71289, 108324, 127408, 117434, 115132, 44971, 33710, 104603, 11972, 117434, 104309, 29295, 104736, 53283, 111571, 20230, 104409, 28713, 111571, 103397, 30512, 113801, 125119, 17663, 105908, 57903, 33541, 116326, 31809, 102212, 108553, 105408, 123505, 16995, 17129, 16144, 104654, 108710, 101557, 96, 104088, 74245, 39926, 5486, 101171, 111, 20230, 64209, 30590, 57980, 16995, 110456, 106266, 30512, 58318, 105262, 105908, 5486, 126835, 117812, 124417, 71289, 104736, 53283, 111571, 30512, 110596, 75694, 105784, 15120, 105226, 117282, 16144, 38641, 9174, 11144, 126835, 117812, 124417, 29295, 107750, 126832, 111571, 103397, 107118, 11571, 112479, 107122, 22656, 17792, 125845, 122013, 111848, 13177, 102944, 112727, 33121, 117503, 126014, 58942, 107407, 198, 107122, 8107, 106036, 95, 71289, 104378, 44971, 102832, 114615, 117375, 116771, 77181, 122984, 118765, 61304, 125534, 108502, 104698, 29295, 48706, 54926, 10110, 64780, 23954, 107122, 9080, 40053, 104654, 106556, 15682, 115364, 46034, 16556, 23039, 105262, 198, 107122, 37087, 104322, 109904, 104736, 53283, 121432, 10110, 125456, 48634, 71289, 122225, 48634, 104309, 119735, 120870, 198, 107122, 104736, 53283, 111571, 111769, 198, 107122, 104736, 53283, 121432, 20230, 117375, 30512, 58318, 58942, 30297, 30369, 105933, 111006, 116436, 111694, 120937, 198, 121846, 111708, 39850, 25197, 112673, 11972, 9458, 107167, 122842, 16144, 70563, 108337, 38248, 119, 16073, 121987, 16144, 120761, 64889, 75146, 107253, 30512, 23226, 104721, 56051, 122678, 107918, 103397, 103350, 11883, 109904, 23187, 104577, 10646, 105755, 198, 64780, 33014, 111186, 56051, 100909, 58426, 102944, 30512, 112727, 104028, 5486, 103572, 38574, 33655, 103836, 53953, 16144, 120613, 125334, 38144, 22957, 100604, 123160, 61304, 125534, 108502, 104698, 198, 104971, 100927, 107290, 122396, 17792, 83354, 103036, 102212, 108553, 21601, 106618, 10110, 33334, 105879, 33503, 9458, 107188, 7705, 105408, 128001, 128000, 567, 107668, 103087, 33563, 117126, 27142, 23187, 23538 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 110139, 55038, 60174, 16144, 162, 104, 241, 120938, 55031, 123524, 126365, 72342, 28713, 66383, 9174, 37271, 126036, 125821, 111371, 31431, 29295, 83747, 103470, 5486, 9953, 31958, 107277, 78519, 31958, 31431, 29295, 39850, 76171, 103351, 70277, 109076, 113146, 9174, 109163, 13357, 229, 107809, 20230, 121771, 115867, 103809, 230, 19630, 254, 29295, 111371, 30369, 101426, 86354, 15682, 5486, 76208, 104703, 102397, 123524, 20230, 67645, 33121, 103378, 16144, 99750, 103842, 246, 30512, 58318, 107800, 123253, 32149, 1811, 104503, 9458, 75513, 106699, 16144, 114284, 29295, 49691, 110, 81219, 33121, 33541, 9174, 567, 111279, 104915, 16144, 103070, 71208, 5486, 104500, 50211, 112427, 119883, 19732, 106367, 21589, 119, 1811, 25963, 8107, 123090, 106627, 106367, 198, 36735, 94, 31958, 16556, 58666, 17792, 19732, 107624, 106053, 16144, 76208, 104703, 102397, 123524, 15682, 5486, 46729, 104915, 16144, 103070, 71208, 103195, 104500, 50211, 112427, 119883, 19732, 106367, 21589, 119, 78434, 9174, 40265, 125344, 27384, 13372, 56965, 16144, 126326, 29295, 102717, 109416, 75513, 105838, 126326, 16556, 5486, 124572, 28190, 101908, 122924, 121894, 16144, 101908, 122924, 32977, 127181, 16325, 5486, 112427, 119883, 19732, 76208, 104703, 102397, 123524, 15682, 19732, 111243, 113850, 84949, 99, 17129, 100204, 16995, 101908, 122924, 103351, 117840, 9174, 37656, 102512, 77181, 5486, 108618, 104611, 26854, 120266, 51330, 41920, 107707, 122756, 127032, 15682, 21990, 123606, 104435, 100909, 117084, 61689, 9174, 33354, 237, 71289, 107188, 126326, 104654, 30512, 37705, 106358, 122558, 119627, 5486, 103911, 101067, 48915, 16144, 106084, 30926, 29295, 72718, 50834, 33541, 109900, 15682, 5486, 21405, 70141, 50834, 15682, 112427, 119883, 16144, 16937, 23039, 122561, 30512, 114667, 114267, 23226, 87844, 19732, 89753, 108789, 38641, 9174, 112427, 119883, 15682, 51330, 110018, 5486, 76208, 104703, 102397, 123524, 30512, 89046, 106824, 23039, 76622, 101860, 5486, 126326, 74482, 124059, 32149, 41920, 8107, 16556, 106633, 102697, 112212, 104195, 44416, 112535, 106627, 106367, 30512, 107726, 102204, 33541, 9174, 113850, 16144, 104712, 101908, 122924, 127303, 42891, 90620, 76622, 20230, 5486, 76208, 104703, 102397, 123524, 16144, 116292, 103001, 228, 29295, 101067, 66201, 125545, 9174, 567, 69839, 235, 106367, 30512, 100909, 48154, 19732, 47884, 64889, 100472, 76208, 104703, 102397, 123524, 106116, 114667, 15682, 95532, 112427, 119883, 19732, 106627, 106367, 107726, 109115, 39177, 5486, 76208, 104703, 102397, 123524, 15682, 112185, 123709, 97049, 1811, 126326, 16144, 103856, 16995, 70277, 109076, 113146, 72661, 114392, 20230, 105268, 16995, 8107, 106036, 95, 38641, 9174, 53508, 123, 105242, 5486, 104503, 16144, 75513, 106699, 15682, 106627, 102057, 223, 107726, 109115, 107571, 30512, 20648, 222, 33121, 20230, 114284, 117119, 27479, 32977, 88356, 106367, 16144, 87177, 114792, 76947, 50834, 33541, 29295, 5486, 76208, 104703, 102397, 123524, 29295, 88356, 106367, 54926, 109335, 57903, 105823, 104127, 56051, 1811, 99849, 104604, 123253, 32149, 9174, 103350, 15682, 5486, 110139, 55038, 102508, 102, 15682, 40265, 39177, 5486, 118347, 76171, 110792, 111062, 117824, 33334, 30297, 19732, 55723, 105226, 107113, 31431, 5486, 103350, 104983, 20230, 46456, 114035, 40053, 101544, 124905, 30046, 103306, 118347, 76171, 20230, 37705, 30369, 104309, 5486, 125559, 110792, 113841, 20230, 108882, 110993, 9554, 16556, 56051, 9174, 62903, 124766, 100927, 105352, 15973, 249, 37729, 16556, 5486, 76208, 104703, 102397, 123524, 121142, 103470, 106116, 103760, 16144, 103926, 123524, 32977, 62903, 37823, 57207, 127065, 115287, 19732, 108044, 58942, 124195, 61689, 9174, 104405, 39926, 125559, 19732, 108882, 110993, 9554, 107294, 105722, 31431, 114792, 78699, 103306, 102334, 104865, 109807, 114667, 15682, 5486, 75513, 106699, 16144, 102212, 64209, 20230, 57903, 33541, 9174, 75513, 106699, 19732, 78244, 116285, 36896, 21990, 17129, 106824, 109749, 112973, 30591, 19732, 110446, 8107, 103856, 118145, 36827, 17297, 17792, 101983, 103468, 66383, 117952, 104028, 108680, 5486, 32648, 33857, 16144, 119448, 102518, 123737, 38641, 9174, 122088, 101701, 106633, 102697, 29295, 116166, 120837, 5486, 21105, 108, 124749, 15682, 36827, 17297, 30512, 18655, 30369, 113871, 30512, 15017, 101, 38144, 38144, 104435, 19732, 117952, 106824, 61689, 9174, 58426, 124122, 122088, 101701, 46729, 104915, 16144, 103070, 71208, 9458, 112427, 119883, 19732, 107571, 16144, 75513, 105838, 126326, 16556, 56051, 9174, 80673, 108048, 29295, 75513, 106699, 30512, 109688, 117126, 103984, 54926, 106633, 102697, 102052, 89783, 82420, 101171, 227, 105578, 20230, 112391, 109115, 105879, 109954, 9174, 122088, 101701, 19732, 104473, 16144, 103721, 233, 29295, 111331, 101182, 112427, 119883, 19732, 76208, 104703, 102397, 123524, 29295, 106627, 106367, 107726, 109115, 104468, 110371, 115195, 31431, 29295, 117475, 16144, 114667, 16144, 117840, 9174, 67016, 32977, 5486, 107571, 30512, 117475, 16144, 115552, 16556, 114284, 109134, 100909, 103470, 5486, 33563, 96356, 16144, 113009, 75513, 106699, 15682, 51330, 74482, 5486, 62903, 124766, 100927, 16144, 123050, 30512, 82533, 62004, 110745, 106045, 54872, 26854, 62903, 37823, 57207, 127065, 101462, 102, 112586, 110498, 31431, 121216, 5486, 103350, 104983, 36149, 231, 100927, 30046, 32977, 43240, 9039, 20834, 127145, 9174, 62903, 37823, 57207, 127065, 115287, 76208, 104703, 102397, 123524, 15682, 5486, 104503, 16144, 51330, 71289, 31431, 24273, 30512, 104736, 62004, 109115, 105879, 109954, 32149, 9174, 89151, 103350, 15682, 78183, 107277, 107515, 29295, 5486, 109453, 15682, 104503, 20230, 108324, 30297, 104466, 62903, 124766, 100927, 16144, 100927, 58942, 20230, 123532, 76947, 21990, 96311, 107, 106063, 96356, 30512, 80631, 104, 50834, 5486, 23897, 104989, 60596, 66115, 97049, 16556, 102625, 112179, 103296, 110139, 55038, 60174, 16144, 22656, 113692, 61786, 104517, 16556, 127331, 33503, 121256, 9174, 567, 110568, 104703, 102397, 123524, 19732, 112427, 119883, 16144, 122756, 127032, 15682, 102334, 104865, 95532, 110229, 16556, 5486, 126920, 76208, 104703, 102397, 123524, 19732, 112427, 119883, 16144, 122756, 127032, 112987, 104435, 105879, 109954, 32149, 9174, 110139, 55038, 16144, 114172, 102512, 102473, 46729, 120577, 104873, 103854, 77181, 5486, 103350, 15682, 106627, 102057, 223, 107726, 109115, 110018, 20230, 76208, 104703, 102397, 123524, 15682, 96356, 83898, 255, 76947, 108086, 5486, 109243, 28741, 118124, 20230, 70277, 109076, 16556, 127032, 30512, 20834, 106518, 74482, 5486, 11795, 114, 45829, 20230, 56051, 102131, 38641, 9174, 127032, 15682, 71208, 116581, 16556, 5486, 105310, 103232, 7190, 121, 80866, 19732, 13372, 110498, 31431, 5486, 76208, 104703, 102397, 123524, 16144, 86894, 102, 29172, 108553, 5486, 36827, 102267, 253, 94923, 16144, 41920, 31640, 30832, 101987, 107430, 30512, 102781, 109013, 19732, 117952, 106824, 61689, 9174, 51330, 61304, 108565, 15682, 13177, 103460, 104067, 105838, 39276, 66383, 95604, 110139, 55038, 102508, 102, 16144, 110993, 109243, 17161, 102181, 20230, 107121, 103836, 120550, 16144, 119627, 5486, 29504, 38093, 111629, 124020, 16556, 34273, 110, 111182, 120837, 58426, 105933, 44915, 29295, 91774, 59739, 55031, 101860, 111476, 53900, 5486, 37656, 102512, 72661, 100604, 100909, 55031, 5486, 108618, 104611, 26854, 120266, 121308, 84150, 122, 53953, 16144, 108044, 108323, 77181, 101182, 19732, 113727, 102204, 33541, 29295, 5486, 110139, 55038, 77181, 108285, 47884, 108285, 17129, 103836, 33035, 108323, 16144, 117840, 9174, 567, 90040, 254, 119883, 16144, 124652, 16556, 37271, 114001, 16995, 30250, 224, 102639, 30369, 122558, 198, 70277, 109076, 113146, 15682, 62903, 124766, 100927, 29295, 119375, 121819, 103646, 113146, 103306, 53283, 124195, 61689, 1811, 102321, 31640, 127303, 104984, 5486, 113850, 29295, 103424, 118145, 106627, 106367, 104309, 102052, 57237, 31431, 107515, 9174, 41642, 116310, 16144, 115517, 71289, 62903, 37823, 57207, 127065, 115287, 30926, 103350, 104309, 16556, 104195, 44416, 112535, 106627, 106367, 103646, 100909, 71289, 106116, 74482, 15120, 21990, 122485, 16556, 103188, 48154, 56051, 100909, 1811, 70277, 109076, 113146, 102677, 113146, 20230, 21990, 17129, 103468, 116292, 108740, 123253, 32149, 9174, 101908, 9458, 112427, 119883, 29295, 120379, 30369, 5486, 101544, 102212, 72099, 101790, 237, 120824, 23530, 16144, 16144, 80631, 252, 104500, 94923, 102052, 5486, 76208, 104703, 102397, 123524, 20230, 43514, 26854, 104127, 116898, 85791, 15682, 113000, 105065, 102677, 76505, 29295, 109178, 58942, 124195, 61689, 9174, 21990, 123628, 41920, 107707, 113850, 16144, 103424, 30813, 30512, 53953, 102158, 30369, 117840, 101832, 1811, 128001, 128000, 89408, 60596, 9953, 5486, 29504, 80195, 101544, 117539, 103242, 109519, 102473, 120690, 16144, 102473, 104615, 29295, 123011, 109013, 125053, 103732, 104533, 5486, 104736, 53283, 111571, 16144, 25580, 38574, 106090, 102083, 126832, 44, 11487, 10110, 117355, 27479, 104736, 53283, 108502, 104698, 7705, 19732, 106053, 23187, 103646, 45736, 106036, 95, 30046, 30512, 19, 8107, 56965, 104862, 122561, 104873, 112984, 56051, 110229, 5486, 975, 4, 29295, 104736, 53283, 111571, 20230, 103130, 102189, 15120, 24273, 5486, 2790, 4, 15682, 120870, 119318, 116310, 103296, 18904, 109095, 121256, 1811, 102473, 104615, 15682, 37271, 74482, 5486, 120870, 20230, 18904, 109095, 56051, 107707, 66378, 17599, 112, 30512, 5486, 50520, 111, 106624, 106596, 109768, 47884, 113727, 38641, 9174, 14711, 63923, 255, 117812, 124417, 16144, 103911, 103181, 102052, 5486, 117401, 5486, 102456, 30926, 5486, 53283, 9554, 112415, 29295, 8239, 114503, 9554, 198, 104736, 53283, 111571, 29295, 125119, 30369, 103188, 39607, 102052, 25580, 38574, 106090, 19732, 107001, 126835, 117812, 124417, 10110, 117355, 27479, 104736, 53283, 108502, 104698, 7705, 102677, 117232, 115991, 33541, 1811, 126835, 117812, 124417, 107118, 113614, 26854, 121894, 19732, 104736, 53283, 111571, 107809, 56965, 30512, 104364, 15024, 5486, 9080, 40053, 104654, 20230, 46456, 108502, 15682, 124897, 29295, 5486, 54322, 22324, 112990, 103664, 44597, 8107, 16556, 103268, 9039, 71689, 29295, 104736, 53283, 111571, 20230, 116748, 78434, 1811, 112950, 21990, 8239, 112, 122502, 66870, 15682, 5486, 104736, 53283, 111571, 127253, 126835, 117812, 124417, 16144, 113073, 15682, 66115, 60596, 25963, 32307, 17792, 19732, 125053, 127145, 118844, 15682, 5486, 2397, 97049, 71689, 16144, 46702, 17792, 20230, 20713, 114754, 109638, 40265, 54926, 83687, 38641, 66327, 104736, 53283, 111571, 102052, 118969, 75694, 17129, 26854, 117809, 115991, 33541, 29295, 5486, 126835, 117812, 124417, 16144, 38574, 106090, 16556, 71005, 109519, 30512, 111671, 54926, 118733, 23226, 106594, 56051, 31431, 5486, 101544, 47884, 37026, 80195, 56051, 104654, 29295, 108608, 101200, 116748, 30512, 30250, 227, 117063, 30369, 105908, 125545, 66383, 15682, 5486, 30832, 101828, 126835, 126835, 107167, 122842, 106966, 94923, 101544, 16144, 31809, 102212, 108553, 21601, 106618, 105408, 9174, 104736, 53283, 111571, 107809, 16556, 32335, 32977, 127181, 107908, 103223, 126507, 68759, 11972, 25287, 104736, 53283, 111571, 16144, 107803, 5486, 102404, 111571, 54926, 103664, 508, 8107, 25580, 55031, 5486, 104736, 53283, 111571, 16144, 113385, 19732, 107001, 39880, 101198, 42634, 114265, 102832, 108337, 99695, 57326, 78459, 45923, 102677, 92877, 25766, 225, 53953, 29295, 101171, 111, 32943, 20230, 36117, 250, 109709, 15682, 100204, 62004, 5486, 101365, 106613, 104398, 112506, 30512, 105150, 127258, 54926, 118733, 104736, 53283, 121432, 29295, 83747, 21105, 248, 59739, 103167, 17297, 15024, 5486, 102404, 111571, 124259, 59739, 105722, 31431, 33541, 66327, 43240, 47884, 15682, 5486, 122013, 111848, 53953, 112727, 33121, 16144, 64467, 112419, 29295, 50834, 42891, 126929, 16556, 101682, 120761, 84389, 33541, 29295, 5486, 126835, 117812, 124417, 120332, 15682, 53953, 112727, 33121, 30512, 37026, 112854, 116216, 37026, 33503, 101682, 120761, 54926, 105908, 127181, 38641, 1811, 118899, 53953, 112727, 33121, 29295, 95221, 108176, 104309, 127408, 30512, 112391, 127567, 5486, 32149, 107277, 126268, 16144, 103242, 104599, 32149, 5486, 53953, 112727, 33121, 48915, 37507, 120950, 114363, 103722, 103242, 20230, 50021, 111813, 39926, 72315, 116326, 31809, 102212, 108553, 105408, 123505, 126835, 117812, 124417, 16144, 103911, 103181, 102052, 5486, 117401, 5486, 102456, 30926, 20230, 21601, 58942, 123213, 30512, 98499, 104004, 5486, 101171, 111, 20251, 44971, 120950, 114567, 123410, 5486, 43511, 17792, 19732, 97518, 78183, 76947, 106222, 112415, 117824, 30297, 123160, 53283, 9554, 112415, 29295, 8239, 114503, 9554, 38641, 118855, 5486, 117587, 126017, 103429, 71289, 101171, 111, 124305, 16325, 122603, 104473, 121819, 123160, 104654, 108710, 101557, 96, 103429, 110792, 116690, 32977, 64467, 112419, 116216, 61689, 66327, 117434, 30512, 40053, 11883, 103792, 24273, 15682, 61633, 29295, 109215, 38641, 1811, 113136, 120379, 117434, 71289, 108324, 127408, 117434, 115132, 44971, 33710, 104603, 11972, 117434, 104309, 29295, 104736, 53283, 111571, 20230, 104409, 28713, 111571, 103397, 30512, 113801, 125119, 17663, 105908, 57903, 33541, 116326, 31809, 102212, 108553, 105408, 123505, 16995, 17129, 16144, 104654, 108710, 101557, 96, 104088, 74245, 39926, 5486, 101171, 111, 20230, 64209, 30590, 57980, 16995, 110456, 106266, 30512, 58318, 105262, 105908, 5486, 126835, 117812, 124417, 71289, 104736, 53283, 111571, 30512, 110596, 75694, 105784, 15120, 105226, 117282, 16144, 38641, 9174, 11144, 126835, 117812, 124417, 29295, 107750, 126832, 111571, 103397, 107118, 11571, 112479, 107122, 22656, 17792, 125845, 122013, 111848, 13177, 102944, 112727, 33121, 117503, 126014, 58942, 107407, 198, 107122, 8107, 106036, 95, 71289, 104378, 44971, 102832, 114615, 117375, 116771, 77181, 122984, 118765, 61304, 125534, 108502, 104698, 29295, 48706, 54926, 10110, 64780, 23954, 107122, 9080, 40053, 104654, 106556, 15682, 115364, 46034, 16556, 23039, 105262, 198, 107122, 37087, 104322, 109904, 104736, 53283, 121432, 10110, 125456, 48634, 71289, 122225, 48634, 104309, 119735, 120870, 198, 107122, 104736, 53283, 111571, 111769, 198, 107122, 104736, 53283, 121432, 20230, 117375, 30512, 58318, 58942, 30297, 30369, 105933, 111006, 116436, 111694, 120937, 198, 121846, 111708, 39850, 25197, 112673, 11972, 9458, 107167, 122842, 16144, 70563, 108337, 38248, 119, 16073, 121987, 16144, 120761, 64889, 75146, 107253, 30512, 23226, 104721, 56051, 122678, 107918, 103397, 103350, 11883, 109904, 23187, 104577, 10646, 105755, 198, 64780, 33014, 111186, 56051, 100909, 58426, 102944, 30512, 112727, 104028, 5486, 103572, 38574, 33655, 103836, 53953, 16144, 120613, 125334, 38144, 22957, 100604, 123160, 61304, 125534, 108502, 104698, 198, 104971, 100927, 107290, 122396, 17792, 83354, 103036, 102212, 108553, 21601, 106618, 10110, 33334, 105879, 33503, 9458, 107188, 7705, 105408, 128001, 128000, 567, 107668, 103087, 33563, 117126, 27142, 23187, 23538 ]
[ 113838, 35330, 198, 48864, 103087, 33563, 117126, 20230, 118065, 54926, 16144, 19732, 5486, 115191, 123160, 23187, 23538, 113838, 35330, 30512, 107740, 54926, 16144, 19732, 77181, 67645, 112384, 29295, 103768, 11883, 96455, 29295, 45736, 118544, 19732, 101128, 102, 104004, 116537, 43240, 117201, 109954, 9174, 102971, 105242, 55031, 112844, 19732, 5486, 80631, 107, 105623, 226, 34171, 16144, 126574, 48864, 103087, 33563, 117126, 114556, 39926, 15682, 23187, 23538, 113838, 35330, 126036, 60632, 96455, 29295, 121819, 105987, 112535, 126574, 38641, 1811, 90620, 48864, 103087, 33563, 117126, 20230, 118065, 54926, 20230, 30591, 28713, 76947, 95221, 116825, 107441, 33334, 105898, 16995, 105908, 57903, 33541, 9174, 122582, 104405, 95604, 100909, 32149, 19732, 78244, 61689, 19732, 5486, 33563, 117126, 108695, 113468, 108901, 26854, 31431, 33541, 29295, 5486, 103350, 104983, 20230, 110698, 47000, 35330, 114475, 76622, 18655, 104028, 104468, 115274, 39926, 127032, 29295, 20713, 25963, 97049, 48154, 85791, 117084, 55031, 38641, 9174, 16325, 102052, 127032, 29295, 46702, 97049, 16556, 78250, 110743, 16144, 110698, 47000, 35330, 114475, 76622, 18655, 104028, 102944, 32977, 57903, 33541, 29295, 5486, 127032, 16144, 8107, 106036, 95, 29295, 45736, 115737, 104984, 109020, 108680, 110698, 47000, 35330, 16144, 109518, 29295, 45736, 115737, 31431, 33541, 55031, 5486, 33563, 117126, 120273, 103664, 29295, 27704, 117864, 119400, 105352, 33503, 105262, 110698, 47000, 35330, 15682, 48154, 47884, 124059, 32149, 38641, 9174, 59739, 109709, 48864, 103087, 33563, 117126, 20230, 118065, 30512, 39926, 24186, 22656, 111017, 33121, 30512, 103181, 104699, 5486, 32977, 106624, 15682, 24186, 105755, 33334, 35330, 30512, 115079, 126172, 102052, 5486, 108968, 16325, 16556, 50338, 103664, 54926, 104468, 19732, 25827, 72661, 100604, 118733, 5486, 112624, 23538, 103296, 46456, 124237, 76947, 112624, 23538, 48864, 103087, 35330, 114475, 76622, 18655, 76947, 127105, 102677, 100909, 108176, 16144, 38641, 9174, 38641, 55031, 121410, 9953, 16144, 33563, 117126, 42506, 30512, 50834, 43514, 127842, 46456, 124237, 78183, 123207, 26854, 31431, 107515, 15024, 5486, 17129, 39926, 71289, 33563, 117126, 42506, 30512, 46456, 124237, 30297, 112973, 16906, 111, 106624, 26854, 31431, 120273, 103664, 30512, 50338, 21418, 39926, 114732, 19732, 37087, 47884, 43568, 102147, 226, 117084, 114732, 16144, 38641, 9174, 77181, 23187, 23538, 113838, 35330, 16144, 126513, 104405, 123253, 32149, 9174, 27452, 116285, 106644, 30297, 114867, 115191, 127303, 104984, 44597, 27113, 110743, 16144, 23187, 23538, 113838, 35330, 30512, 39926, 102532, 25963, 110743, 103378, 30512, 50338, 103664, 56051, 19732, 78434, 1811, 33035, 13821, 111, 17905, 15682, 15120, 121022, 44597, 27113, 110743, 16144, 23187, 23538, 113838, 35330, 30512, 50338, 103664, 56051, 100909, 102052, 26854, 31431, 33541, 29295, 5486, 108618, 111331, 46702, 66115, 110743, 15682, 44597, 27113, 110743, 30512, 23187, 23538, 113838, 35330, 56051, 40265, 125344, 60632, 96455, 16144, 17129, 103296, 88356, 27479, 113838, 105784, 105908, 106084, 33541, 1811, 59739, 109709, 5486, 108968, 16325, 50338, 103664, 125344, 112997, 29220, 15682, 48864, 103087, 33563, 117126, 126036, 83747, 100604, 16144, 38641, 9174, 90620, 23187, 23538, 113838, 35330, 16144, 35330, 60632, 15682, 5486, 11881, 242, 119775, 45736, 47884, 15682, 124897, 55031, 5486, 115191, 20230, 113838, 76622, 100934, 121142, 67645, 124592, 25827, 24186, 22656, 29295, 115079, 105262, 102677, 109335, 123733, 76947, 103801, 16995, 79721, 101832, 9174, 14711, 111505, 108502, 105494, 29295, 119448, 16995, 48864, 103087, 33563, 117126, 15682, 80631, 107, 105623, 226, 34171, 29295, 103167, 16995, 198, 48864, 103087, 33563, 117126, 102052, 5486, 103242, 109519, 118788, 71289, 121993, 118788, 104309, 29295, 47000, 115351, 103792, 47043, 32977, 57903, 33541, 29295, 5486, 108729, 112535, 198, 118788, 105494, 29295, 119448, 47884, 109020, 108680, 48864, 103087, 33563, 117126, 16144, 80631, 107, 105623, 226, 34171, 15682, 17297, 29295, 107462, 50834, 33541, 9174, 24186, 22656, 30512, 115079, 126172, 102677, 113173, 114792, 76947, 47043, 30512, 102647, 104369, 105879, 30591, 104984, 5486, 118788, 105494, 15682, 126128, 107800, 117809, 16144, 48864, 103087, 33563, 117126, 30512, 111800, 118219, 112990, 126521, 125651, 9174, 51330, 104466, 5486, 48864, 103087, 33563, 117126, 19732, 23187, 23538, 113838, 35330, 67645, 112384, 32977, 39850, 37823, 67075, 9458, 68408, 39850, 37823, 67075, 115991, 33541, 1811, 80631, 107, 105623, 226, 34171, 30512, 78698, 107800, 33503, 48864, 103087, 33563, 117126, 119627, 5486, 108968, 16325, 50338, 103664, 16144, 112997, 29220, 102052, 61633, 39926, 72315, 1811, 48864, 103087, 33563, 117126, 30512, 121507, 54926, 97049, 15682, 5486, 20713, 113127, 72661, 104196, 114941, 96455, 16144, 126574, 102944, 30512, 102647, 102802, 17129, 109954, 9174, 91, 25580, 102416, 5232, 48864, 103087, 33563, 117126, 107118, 198, 91, 126516, 116056, 122481, 120938, 20230, 114941, 30369, 198, 91, 33671, 102416, 5232, 48864, 103087, 33563, 117126, 27142, 108156, 71289, 16786, 16144, 126330, 128001, 128000, 86127, 112987, 47884, 59739, 116421, 121159, 114792, 76947, 102532, 108048, 29295, 103350, 23039, 84389, 104533, 111476, 3360, 9032, 1378, 30512, 80172, 102639, 33541, 9174, 90962, 52884, 109531, 110548, 126229, 29295, 90962, 52884, 109531, 110548, 76171, 105335, 107446, 20230, 116700, 84389, 100481, 107515, 9174, 85701, 15682, 104405, 95604, 115552, 112130, 110371, 76739, 109554, 30512, 23951, 37656, 54926, 113009, 99849, 29295, 125545, 32149, 95532, 108031, 16, 118821, 57207, 96452, 37823, 90962, 15682, 5486, 2994, 90962, 52884, 109531, 110548, 30512, 107443, 97, 25287, 106004, 107391, 71634, 56051, 110018, 38641, 1811, 27452, 116285, 5486, 88852, 16144, 121159, 15682, 29411, 1735, 297, 284, 854, 280, 7844, 294, 284, 320, 7844, 89563, 280, 122582, 107391, 71634, 20230, 198, 3360, 9032, 1378, 30512, 80172, 102639, 33541, 1811, 17905, 61304, 16144, 60868, 108969, 33710, 77181, 108008, 20230, 120222, 126365, 58942, 33541, 29295, 115847, 15682, 5486, 56438, 109768, 100604, 121159, 55031, 2994, 90962, 52884, 109531, 110548, 29295, 104196, 84389, 5486, 107391, 71634, 29295, 115681, 123141, 113468, 45059, 107001, 104309, 5486, 330, 30250, 227, 109337, 66953, 76171, 103857, 94550, 1, 16144, 109242, 122202, 26854, 57207, 96452, 37823, 90962, 16556, 102404, 21990, 54926, 125396, 115991, 33541, 9174, 51330, 16, 118821, 27452, 15682, 5486, 20475, 47260, 52414, 42634, 64178, 114792, 59739, 51330, 110904, 116254, 26854, 66204, 37615, 66953, 76171, 103857, 94550, 52591, 32131, 41758, 73590, 38641, 9174, 27, 13671, 25, 20475, 1629, 266, 429, 4120, 1, 30402, 1956, 35576, 4, 2, 10154, 446, 23958, 909, 4, 10078, 2662, 110382, 16556, 111476, 6450, 1956, 15682, 103350, 104983, 102052, 198, 7844, 25287, 16144, 18722, 20475, 5000, 7935, 25287, 16144, 107420, 80805, 103906, 116787, 5486, 66953, 76171, 103857, 94550, 15682, 108038, 20230, 2994, 30512, 104196, 17663, 125396, 115991, 33541, 1811, 109163, 30868, 247, 16144, 66204, 37615, 109531, 102750, 44971, 108337, 15682, 5486, 17905, 61304, 16144, 107391, 71634, 121159, 19732, 42016, 50667, 16144, 121159, 126694, 13153, 78434, 118844, 15682, 66204, 37615, 16556, 45059, 103646, 121159, 30512, 104398, 32149, 47884, 109713, 80805, 106696, 54926, 103846, 5486, 102404, 91774, 29295, 108008, 20230, 110482, 111108, 26854, 198, 3360, 9032, 1378, 29295, 102404, 21990, 78434, 9174, 109606, 16144, 104721, 9039, 29295, 99849, 32977, 64467, 109768, 100604, 106592, 115552, 78434, 1811, 122571, 51330, 104466, 45059, 54926, 105908, 125545, 29411, 62964, 3717, 284, 854, 280, 7898, 13250, 545, 104721, 9039, 6360, 7898, 1, 30512, 107322, 78244, 103792, 56965, 15682, 99849, 32977, 64467, 109768, 100604, 103846, 5486, 76739, 109554, 115717, 33541, 1811, 39850, 113155, 6360, 5109, 1, 30512, 105324, 102802, 20834, 102131, 19732, 112990, 5486, 50338, 104662, 54926, 124122, 126229, 29295, 103470, 5486, 76739, 109554, 29295, 102404, 21990, 78434, 9174, 51330, 76739, 109554, 30512, 18904, 111098, 54926, 102052, 198, 1735, 624, 854, 16556, 114140, 39926, 72315, 9174, 36741, 69194, 16144, 1079, 13279, 716, 103223, 64178, 15682, 5486, 2994, 126229, 76739, 109554, 16144, 125396, 107407, 121159, 123727, 122617, 16144, 116245, 30512, 109375, 103283, 54926, 103846, 5486, 2994, 116696, 48552, 30512, 17701, 104028, 105908, 125545, 113637, 76739, 109554, 29295, 66953, 41758, 16144, 112366, 16144, 113385, 115408, 91774, 38641, 9174, 122582, 30591, 112568, 16144, 121159, 29295, 2994, 20230, 116700, 103646, 90962, 52884, 109531, 110548, 126229, 104721, 9039, 30512, 38129, 56051, 106592, 115552, 78434, 10110, 17663, 26854, 78183, 43514, 108048, 15682, 103350, 104983, 16144, 90962, 52884, 109531, 110548, 76171, 105335, 107446, 30512, 126229, 103801, 72342, 104127, 56051, 123505, 76739, 109554, 30512, 103181, 104699, 113009, 5486, 2994, 108176, 125396, 16144, 101182, 90962, 52884, 109531, 110548, 15682, 5486, 38129, 54926, 112772, 2994, 109853, 57933, 71634, 54926, 109215, 115991, 33541, 9174, 333, 320, 2465, 959, 976, 854, 340, 517, 322, 6122, 8469, 323, 1005, 856, 959, 198, 2465, 959, 25345, 284, 12515, 1531, 198, 322, 44617, 287, 311, 1005, 856, 959, 1618, 690, 1121, 304, 18576, 9032, 1378, 198, 57207, 96452, 37823, 90962, 114556, 108826, 103470, 5486, 113385, 15682, 37615, 72661, 40053, 20230, 112361, 103195, 120266, 61633, 39926, 72315, 9174, 112603, 29295, 198, 24714, 6018, 2994, 103195, 126229, 104721, 9039, 30512, 38129, 119607, 103306, 61689, 1811, 126229, 104721, 9039, 16144, 112603, 29295, 198, 2994, 16144, 107803, 108048, 15682, 103350, 104983, 102052, 107461, 107610, 17905, 20230, 48706, 54926, 90962, 52884, 109531, 110548, 16144, 76171, 105335, 107446, 111363, 126229, 30512, 118551, 109768, 100604, 106592, 115552, 78434, 9174, 104721, 9039, 20230, 127091, 30512, 111017, 31431, 40265, 38144, 115926, 5486, 104721, 9039, 20230, 111017, 31431, 40265, 38144, 109115, 112603, 16144, 76171, 105335, 107446, 126694, 13153, 56051, 31431, 21105, 103, 118544, 5486, 46034, 91875, 16556, 104721, 9039, 30512, 198, 2994, 20230, 116700, 54926, 32149, 5486, 104721, 9039, 30512, 198, 2994, 20230, 116700, 54926, 97518, 9039, 30512, 105324, 102802, 121216, 79721, 9174, 22398, 117243, 107001, 51330, 27452, 48915, 16144, 27452, 15682, 33671, 16144, 19732, 108086, 38641, 123405, 112568, 29295, 127091, 30512, 116696, 48552, 119607, 103306, 16995, 104533, 50834, 108048, 15682, 2994, 38641, 9174, 27452, 116285, 29411, 928, 1296, 707, 284, 854, 26, 443, 18433, 433, 3250, 956, 617, 264, 907, 320, 72, 1770, 13, 433, 596, 854, 26, 330, 4472, 1, 4250, 656, 1148, 433, 3966, 311, 656, 340, 333, 320, 1985, 707, 6976, 624, 220, 15, 8, 443, 67947, 264, 854, 16690, 7959, 198, 322, 5519, 2555, 198, 76171, 105335, 107446, 33208, 84389, 126386, 102944, 5486, 59739, 109709, 17905, 61304, 16144, 121159, 113115, 39926, 39880, 122131, 30512, 103350, 23039, 119607, 19732, 112990, 5486, 13, 15734, 93488, 107507, 91062, 15682, 3360, 9032, 1378, 30512, 22398, 117243, 78434, 9174, 39850, 102741, 105404, 20230, 110968, 107001, 102944, 29295, 2994, 111769, 19732, 39850, 102741, 105404, 29295, 103911, 108867, 56051, 107803, 20230, 117032, 15682, 103181, 109088, 46034, 38574, 103306, 22398, 117243, 107001, 64761, 19732, 125261, 39926, 9174, 116718, 108134, 15682, 198, 78204, 1569, 225, 3360, 9032, 1378, 124001, 3360, 80805, 32131, 39850, 108337, 9, 20230, 57903, 33541, 9174, 126229, 25287, 30512, 85707, 23538, 33208, 39926, 33334, 121140, 106116, 107420, 80805, 103906, 16144, 16, 59739, 30512, 116700, 125845, 98499, 64121, 108167, 106956, 126513, 111476, 18576, 9032, 1378, 108911, 22398, 117243, 84389, 33541, 9174, 27452, 29411, 10909, 281, 284, 854, 280, 79, 3040, 284, 330, 42398, 5233, 443, 18576, 9032, 1378, 13980, 1618, 627, 104721, 9039, 29295, 2994, 16556, 100604, 32149, 104405, 32149, 30512, 116696, 48552, 54926, 118733, 85701, 30512, 112825, 110904, 20230, 18904, 111098, 125545, 9174, 333, 320, 79, 5947, 2994, 340, 79, 3040, 284, 330, 42398, 5233, 443, 2876, 2133, 311, 1629, 311, 420, 1486, 198, 3360, 9032, 1378, 29295, 22398, 117243, 107001, 114667, 30512, 108038, 20230, 113954, 54926, 102052, 5486, 107443, 97, 25287, 112031, 111521, 102867, 25287, 97718, 121953, 30512, 53283, 30369, 105908, 107693, 38641, 9174, 58426, 103846, 111476, 107443, 97, 25287, 95371, 121247, 103836, 107803, 5486, 3360, 9032, 66680, 15682, 220, 539, 108911, 102404, 21990, 54926, 105908, 57903, 33541, 1811, 90620, 15024, 5486, 220, 111521, 102867, 25287, 95371, 121247, 30297, 110018, 15682, 61633, 30512, 124237, 30297, 109215, 115991, 33541, 9174, 120613, 29295, 20379, 84150, 228, 103792, 104466, 5486, 126229, 25287, 103378, 29295, 126229, 30512, 118551, 56051, 31431, 5486, 88435, 121640, 99849, 32977, 10110, 125845, 364, 2994, 6, 7705, 30512, 64467, 17663, 105908, 103082, 107515, 1811, 112603, 25287, 15682, 40053, 20230, 112603, 30512, 96412, 64121, 33541, 29295, 9174, 111521, 102867, 25287, 10110, 85701, 33503, 15682, 116696, 48552, 54926, 109215, 115991, 33541, 123407, 256, 107443, 97, 16144, 25287, 10110, 85701, 33503, 15682, 43568, 103984, 120837, 32149, 17129, 16995, 107515, 123407, 720, 3360, 9032, 66680, 29295, 102404, 21990, 54926, 125396, 107407, 108031, 16, 118821, 126465, 15682, 111476, 300, 102446, 70203, 45829, 97718, 10110, 125144, 100472, 7705, 38129, 25333, 38641, 9174, 1058, 6017, 341, 898, 925, 4076, 314, 636, 26, 743, 26, 457, 1058, 3341, 314, 457, 9028, 856, 7063, 284, 502, 3341, 545, 7280, 856, 2239, 284, 856, 7063, 439, 6017, 26, 443, 763, 35942, 14747, 3929, 856, 2239, 284, 854, 198, 12653, 6158, 14267, 2239, 3040, 1237, 443, 18576, 9032, 1378, 198, 7280, 19732, 198, 9028, 15682, 106483, 109033, 34171, 16144, 100604, 25287, 38641, 9174, 9028, 30512, 198, 7280, 20230, 104721, 109033, 14, 107391, 71634, 54926, 109335, 103082, 107515, 113637, 107391, 71634, 29295, 21388, 113529, 112990, 111476, 300, 15682, 198, 2994, 30512, 104196, 78434, 113637, 123090, 198, 2465, 2239, 30512, 38129, 112990, 198, 108936, 20230, 5486, 33671, 119775, 107391, 71634, 125845, 198, 300, 30512, 38129, 54926, 109215, 115991, 33541, 9174, 25287, 104721, 109033, 29295, 40053, 20230, 19653, 54926, 106592, 125494, 103792, 107803, 10110, 59739, 109709, 5486, 90962, 52884, 109531, 110548 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 113838, 35330, 198, 48864, 103087, 33563, 117126, 20230, 118065, 54926, 16144, 19732, 5486, 115191, 123160, 23187, 23538, 113838, 35330, 30512, 107740, 54926, 16144, 19732, 77181, 67645, 112384, 29295, 103768, 11883, 96455, 29295, 45736, 118544, 19732, 101128, 102, 104004, 116537, 43240, 117201, 109954, 9174, 102971, 105242, 55031, 112844, 19732, 5486, 80631, 107, 105623, 226, 34171, 16144, 126574, 48864, 103087, 33563, 117126, 114556, 39926, 15682, 23187, 23538, 113838, 35330, 126036, 60632, 96455, 29295, 121819, 105987, 112535, 126574, 38641, 1811, 90620, 48864, 103087, 33563, 117126, 20230, 118065, 54926, 20230, 30591, 28713, 76947, 95221, 116825, 107441, 33334, 105898, 16995, 105908, 57903, 33541, 9174, 122582, 104405, 95604, 100909, 32149, 19732, 78244, 61689, 19732, 5486, 33563, 117126, 108695, 113468, 108901, 26854, 31431, 33541, 29295, 5486, 103350, 104983, 20230, 110698, 47000, 35330, 114475, 76622, 18655, 104028, 104468, 115274, 39926, 127032, 29295, 20713, 25963, 97049, 48154, 85791, 117084, 55031, 38641, 9174, 16325, 102052, 127032, 29295, 46702, 97049, 16556, 78250, 110743, 16144, 110698, 47000, 35330, 114475, 76622, 18655, 104028, 102944, 32977, 57903, 33541, 29295, 5486, 127032, 16144, 8107, 106036, 95, 29295, 45736, 115737, 104984, 109020, 108680, 110698, 47000, 35330, 16144, 109518, 29295, 45736, 115737, 31431, 33541, 55031, 5486, 33563, 117126, 120273, 103664, 29295, 27704, 117864, 119400, 105352, 33503, 105262, 110698, 47000, 35330, 15682, 48154, 47884, 124059, 32149, 38641, 9174, 59739, 109709, 48864, 103087, 33563, 117126, 20230, 118065, 30512, 39926, 24186, 22656, 111017, 33121, 30512, 103181, 104699, 5486, 32977, 106624, 15682, 24186, 105755, 33334, 35330, 30512, 115079, 126172, 102052, 5486, 108968, 16325, 16556, 50338, 103664, 54926, 104468, 19732, 25827, 72661, 100604, 118733, 5486, 112624, 23538, 103296, 46456, 124237, 76947, 112624, 23538, 48864, 103087, 35330, 114475, 76622, 18655, 76947, 127105, 102677, 100909, 108176, 16144, 38641, 9174, 38641, 55031, 121410, 9953, 16144, 33563, 117126, 42506, 30512, 50834, 43514, 127842, 46456, 124237, 78183, 123207, 26854, 31431, 107515, 15024, 5486, 17129, 39926, 71289, 33563, 117126, 42506, 30512, 46456, 124237, 30297, 112973, 16906, 111, 106624, 26854, 31431, 120273, 103664, 30512, 50338, 21418, 39926, 114732, 19732, 37087, 47884, 43568, 102147, 226, 117084, 114732, 16144, 38641, 9174, 77181, 23187, 23538, 113838, 35330, 16144, 126513, 104405, 123253, 32149, 9174, 27452, 116285, 106644, 30297, 114867, 115191, 127303, 104984, 44597, 27113, 110743, 16144, 23187, 23538, 113838, 35330, 30512, 39926, 102532, 25963, 110743, 103378, 30512, 50338, 103664, 56051, 19732, 78434, 1811, 33035, 13821, 111, 17905, 15682, 15120, 121022, 44597, 27113, 110743, 16144, 23187, 23538, 113838, 35330, 30512, 50338, 103664, 56051, 100909, 102052, 26854, 31431, 33541, 29295, 5486, 108618, 111331, 46702, 66115, 110743, 15682, 44597, 27113, 110743, 30512, 23187, 23538, 113838, 35330, 56051, 40265, 125344, 60632, 96455, 16144, 17129, 103296, 88356, 27479, 113838, 105784, 105908, 106084, 33541, 1811, 59739, 109709, 5486, 108968, 16325, 50338, 103664, 125344, 112997, 29220, 15682, 48864, 103087, 33563, 117126, 126036, 83747, 100604, 16144, 38641, 9174, 90620, 23187, 23538, 113838, 35330, 16144, 35330, 60632, 15682, 5486, 11881, 242, 119775, 45736, 47884, 15682, 124897, 55031, 5486, 115191, 20230, 113838, 76622, 100934, 121142, 67645, 124592, 25827, 24186, 22656, 29295, 115079, 105262, 102677, 109335, 123733, 76947, 103801, 16995, 79721, 101832, 9174, 14711, 111505, 108502, 105494, 29295, 119448, 16995, 48864, 103087, 33563, 117126, 15682, 80631, 107, 105623, 226, 34171, 29295, 103167, 16995, 198, 48864, 103087, 33563, 117126, 102052, 5486, 103242, 109519, 118788, 71289, 121993, 118788, 104309, 29295, 47000, 115351, 103792, 47043, 32977, 57903, 33541, 29295, 5486, 108729, 112535, 198, 118788, 105494, 29295, 119448, 47884, 109020, 108680, 48864, 103087, 33563, 117126, 16144, 80631, 107, 105623, 226, 34171, 15682, 17297, 29295, 107462, 50834, 33541, 9174, 24186, 22656, 30512, 115079, 126172, 102677, 113173, 114792, 76947, 47043, 30512, 102647, 104369, 105879, 30591, 104984, 5486, 118788, 105494, 15682, 126128, 107800, 117809, 16144, 48864, 103087, 33563, 117126, 30512, 111800, 118219, 112990, 126521, 125651, 9174, 51330, 104466, 5486, 48864, 103087, 33563, 117126, 19732, 23187, 23538, 113838, 35330, 67645, 112384, 32977, 39850, 37823, 67075, 9458, 68408, 39850, 37823, 67075, 115991, 33541, 1811, 80631, 107, 105623, 226, 34171, 30512, 78698, 107800, 33503, 48864, 103087, 33563, 117126, 119627, 5486, 108968, 16325, 50338, 103664, 16144, 112997, 29220, 102052, 61633, 39926, 72315, 1811, 48864, 103087, 33563, 117126, 30512, 121507, 54926, 97049, 15682, 5486, 20713, 113127, 72661, 104196, 114941, 96455, 16144, 126574, 102944, 30512, 102647, 102802, 17129, 109954, 9174, 91, 25580, 102416, 5232, 48864, 103087, 33563, 117126, 107118, 198, 91, 126516, 116056, 122481, 120938, 20230, 114941, 30369, 198, 91, 33671, 102416, 5232, 48864, 103087, 33563, 117126, 27142, 108156, 71289, 16786, 16144, 126330, 128001, 128000, 86127, 112987, 47884, 59739, 116421, 121159, 114792, 76947, 102532, 108048, 29295, 103350, 23039, 84389, 104533, 111476, 3360, 9032, 1378, 30512, 80172, 102639, 33541, 9174, 90962, 52884, 109531, 110548, 126229, 29295, 90962, 52884, 109531, 110548, 76171, 105335, 107446, 20230, 116700, 84389, 100481, 107515, 9174, 85701, 15682, 104405, 95604, 115552, 112130, 110371, 76739, 109554, 30512, 23951, 37656, 54926, 113009, 99849, 29295, 125545, 32149, 95532, 108031, 16, 118821, 57207, 96452, 37823, 90962, 15682, 5486, 2994, 90962, 52884, 109531, 110548, 30512, 107443, 97, 25287, 106004, 107391, 71634, 56051, 110018, 38641, 1811, 27452, 116285, 5486, 88852, 16144, 121159, 15682, 29411, 1735, 297, 284, 854, 280, 7844, 294, 284, 320, 7844, 89563, 280, 122582, 107391, 71634, 20230, 198, 3360, 9032, 1378, 30512, 80172, 102639, 33541, 1811, 17905, 61304, 16144, 60868, 108969, 33710, 77181, 108008, 20230, 120222, 126365, 58942, 33541, 29295, 115847, 15682, 5486, 56438, 109768, 100604, 121159, 55031, 2994, 90962, 52884, 109531, 110548, 29295, 104196, 84389, 5486, 107391, 71634, 29295, 115681, 123141, 113468, 45059, 107001, 104309, 5486, 330, 30250, 227, 109337, 66953, 76171, 103857, 94550, 1, 16144, 109242, 122202, 26854, 57207, 96452, 37823, 90962, 16556, 102404, 21990, 54926, 125396, 115991, 33541, 9174, 51330, 16, 118821, 27452, 15682, 5486, 20475, 47260, 52414, 42634, 64178, 114792, 59739, 51330, 110904, 116254, 26854, 66204, 37615, 66953, 76171, 103857, 94550, 52591, 32131, 41758, 73590, 38641, 9174, 27, 13671, 25, 20475, 1629, 266, 429, 4120, 1, 30402, 1956, 35576, 4, 2, 10154, 446, 23958, 909, 4, 10078, 2662, 110382, 16556, 111476, 6450, 1956, 15682, 103350, 104983, 102052, 198, 7844, 25287, 16144, 18722, 20475, 5000, 7935, 25287, 16144, 107420, 80805, 103906, 116787, 5486, 66953, 76171, 103857, 94550, 15682, 108038, 20230, 2994, 30512, 104196, 17663, 125396, 115991, 33541, 1811, 109163, 30868, 247, 16144, 66204, 37615, 109531, 102750, 44971, 108337, 15682, 5486, 17905, 61304, 16144, 107391, 71634, 121159, 19732, 42016, 50667, 16144, 121159, 126694, 13153, 78434, 118844, 15682, 66204, 37615, 16556, 45059, 103646, 121159, 30512, 104398, 32149, 47884, 109713, 80805, 106696, 54926, 103846, 5486, 102404, 91774, 29295, 108008, 20230, 110482, 111108, 26854, 198, 3360, 9032, 1378, 29295, 102404, 21990, 78434, 9174, 109606, 16144, 104721, 9039, 29295, 99849, 32977, 64467, 109768, 100604, 106592, 115552, 78434, 1811, 122571, 51330, 104466, 45059, 54926, 105908, 125545, 29411, 62964, 3717, 284, 854, 280, 7898, 13250, 545, 104721, 9039, 6360, 7898, 1, 30512, 107322, 78244, 103792, 56965, 15682, 99849, 32977, 64467, 109768, 100604, 103846, 5486, 76739, 109554, 115717, 33541, 1811, 39850, 113155, 6360, 5109, 1, 30512, 105324, 102802, 20834, 102131, 19732, 112990, 5486, 50338, 104662, 54926, 124122, 126229, 29295, 103470, 5486, 76739, 109554, 29295, 102404, 21990, 78434, 9174, 51330, 76739, 109554, 30512, 18904, 111098, 54926, 102052, 198, 1735, 624, 854, 16556, 114140, 39926, 72315, 9174, 36741, 69194, 16144, 1079, 13279, 716, 103223, 64178, 15682, 5486, 2994, 126229, 76739, 109554, 16144, 125396, 107407, 121159, 123727, 122617, 16144, 116245, 30512, 109375, 103283, 54926, 103846, 5486, 2994, 116696, 48552, 30512, 17701, 104028, 105908, 125545, 113637, 76739, 109554, 29295, 66953, 41758, 16144, 112366, 16144, 113385, 115408, 91774, 38641, 9174, 122582, 30591, 112568, 16144, 121159, 29295, 2994, 20230, 116700, 103646, 90962, 52884, 109531, 110548, 126229, 104721, 9039, 30512, 38129, 56051, 106592, 115552, 78434, 10110, 17663, 26854, 78183, 43514, 108048, 15682, 103350, 104983, 16144, 90962, 52884, 109531, 110548, 76171, 105335, 107446, 30512, 126229, 103801, 72342, 104127, 56051, 123505, 76739, 109554, 30512, 103181, 104699, 113009, 5486, 2994, 108176, 125396, 16144, 101182, 90962, 52884, 109531, 110548, 15682, 5486, 38129, 54926, 112772, 2994, 109853, 57933, 71634, 54926, 109215, 115991, 33541, 9174, 333, 320, 2465, 959, 976, 854, 340, 517, 322, 6122, 8469, 323, 1005, 856, 959, 198, 2465, 959, 25345, 284, 12515, 1531, 198, 322, 44617, 287, 311, 1005, 856, 959, 1618, 690, 1121, 304, 18576, 9032, 1378, 198, 57207, 96452, 37823, 90962, 114556, 108826, 103470, 5486, 113385, 15682, 37615, 72661, 40053, 20230, 112361, 103195, 120266, 61633, 39926, 72315, 9174, 112603, 29295, 198, 24714, 6018, 2994, 103195, 126229, 104721, 9039, 30512, 38129, 119607, 103306, 61689, 1811, 126229, 104721, 9039, 16144, 112603, 29295, 198, 2994, 16144, 107803, 108048, 15682, 103350, 104983, 102052, 107461, 107610, 17905, 20230, 48706, 54926, 90962, 52884, 109531, 110548, 16144, 76171, 105335, 107446, 111363, 126229, 30512, 118551, 109768, 100604, 106592, 115552, 78434, 9174, 104721, 9039, 20230, 127091, 30512, 111017, 31431, 40265, 38144, 115926, 5486, 104721, 9039, 20230, 111017, 31431, 40265, 38144, 109115, 112603, 16144, 76171, 105335, 107446, 126694, 13153, 56051, 31431, 21105, 103, 118544, 5486, 46034, 91875, 16556, 104721, 9039, 30512, 198, 2994, 20230, 116700, 54926, 32149, 5486, 104721, 9039, 30512, 198, 2994, 20230, 116700, 54926, 97518, 9039, 30512, 105324, 102802, 121216, 79721, 9174, 22398, 117243, 107001, 51330, 27452, 48915, 16144, 27452, 15682, 33671, 16144, 19732, 108086, 38641, 123405, 112568, 29295, 127091, 30512, 116696, 48552, 119607, 103306, 16995, 104533, 50834, 108048, 15682, 2994, 38641, 9174, 27452, 116285, 29411, 928, 1296, 707, 284, 854, 26, 443, 18433, 433, 3250, 956, 617, 264, 907, 320, 72, 1770, 13, 433, 596, 854, 26, 330, 4472, 1, 4250, 656, 1148, 433, 3966, 311, 656, 340, 333, 320, 1985, 707, 6976, 624, 220, 15, 8, 443, 67947, 264, 854, 16690, 7959, 198, 322, 5519, 2555, 198, 76171, 105335, 107446, 33208, 84389, 126386, 102944, 5486, 59739, 109709, 17905, 61304, 16144, 121159, 113115, 39926, 39880, 122131, 30512, 103350, 23039, 119607, 19732, 112990, 5486, 13, 15734, 93488, 107507, 91062, 15682, 3360, 9032, 1378, 30512, 22398, 117243, 78434, 9174, 39850, 102741, 105404, 20230, 110968, 107001, 102944, 29295, 2994, 111769, 19732, 39850, 102741, 105404, 29295, 103911, 108867, 56051, 107803, 20230, 117032, 15682, 103181, 109088, 46034, 38574, 103306, 22398, 117243, 107001, 64761, 19732, 125261, 39926, 9174, 116718, 108134, 15682, 198, 78204, 1569, 225, 3360, 9032, 1378, 124001, 3360, 80805, 32131, 39850, 108337, 9, 20230, 57903, 33541, 9174, 126229, 25287, 30512, 85707, 23538, 33208, 39926, 33334, 121140, 106116, 107420, 80805, 103906, 16144, 16, 59739, 30512, 116700, 125845, 98499, 64121, 108167, 106956, 126513, 111476, 18576, 9032, 1378, 108911, 22398, 117243, 84389, 33541, 9174, 27452, 29411, 10909, 281, 284, 854, 280, 79, 3040, 284, 330, 42398, 5233, 443, 18576, 9032, 1378, 13980, 1618, 627, 104721, 9039, 29295, 2994, 16556, 100604, 32149, 104405, 32149, 30512, 116696, 48552, 54926, 118733, 85701, 30512, 112825, 110904, 20230, 18904, 111098, 125545, 9174, 333, 320, 79, 5947, 2994, 340, 79, 3040, 284, 330, 42398, 5233, 443, 2876, 2133, 311, 1629, 311, 420, 1486, 198, 3360, 9032, 1378, 29295, 22398, 117243, 107001, 114667, 30512, 108038, 20230, 113954, 54926, 102052, 5486, 107443, 97, 25287, 112031, 111521, 102867, 25287, 97718, 121953, 30512, 53283, 30369, 105908, 107693, 38641, 9174, 58426, 103846, 111476, 107443, 97, 25287, 95371, 121247, 103836, 107803, 5486, 3360, 9032, 66680, 15682, 220, 539, 108911, 102404, 21990, 54926, 105908, 57903, 33541, 1811, 90620, 15024, 5486, 220, 111521, 102867, 25287, 95371, 121247, 30297, 110018, 15682, 61633, 30512, 124237, 30297, 109215, 115991, 33541, 9174, 120613, 29295, 20379, 84150, 228, 103792, 104466, 5486, 126229, 25287, 103378, 29295, 126229, 30512, 118551, 56051, 31431, 5486, 88435, 121640, 99849, 32977, 10110, 125845, 364, 2994, 6, 7705, 30512, 64467, 17663, 105908, 103082, 107515, 1811, 112603, 25287, 15682, 40053, 20230, 112603, 30512, 96412, 64121, 33541, 29295, 9174, 111521, 102867, 25287, 10110, 85701, 33503, 15682, 116696, 48552, 54926, 109215, 115991, 33541, 123407, 256, 107443, 97, 16144, 25287, 10110, 85701, 33503, 15682, 43568, 103984, 120837, 32149, 17129, 16995, 107515, 123407, 720, 3360, 9032, 66680, 29295, 102404, 21990, 54926, 125396, 107407, 108031, 16, 118821, 126465, 15682, 111476, 300, 102446, 70203, 45829, 97718, 10110, 125144, 100472, 7705, 38129, 25333, 38641, 9174, 1058, 6017, 341, 898, 925, 4076, 314, 636, 26, 743, 26, 457, 1058, 3341, 314, 457, 9028, 856, 7063, 284, 502, 3341, 545, 7280, 856, 2239, 284, 856, 7063, 439, 6017, 26, 443, 763, 35942, 14747, 3929, 856, 2239, 284, 854, 198, 12653, 6158, 14267, 2239, 3040, 1237, 443, 18576, 9032, 1378, 198, 7280, 19732, 198, 9028, 15682, 106483, 109033, 34171, 16144, 100604, 25287, 38641, 9174, 9028, 30512, 198, 7280, 20230, 104721, 109033, 14, 107391, 71634, 54926, 109335, 103082, 107515, 113637, 107391, 71634, 29295, 21388, 113529, 112990, 111476, 300, 15682, 198, 2994, 30512, 104196, 78434, 113637, 123090, 198, 2465, 2239, 30512, 38129, 112990, 198, 108936, 20230, 5486, 33671, 119775, 107391, 71634, 125845, 198, 300, 30512, 38129, 54926, 109215, 115991, 33541, 9174, 25287, 104721, 109033, 29295, 40053, 20230, 19653, 54926, 106592, 125494, 103792, 107803, 10110, 59739, 109709, 5486, 90962, 52884, 109531, 110548 ]
[ 29295, 25580, 32977, 76947, 101182, 125231, 105908, 78183, 32149, 103836, 107803, 65459, 107391, 71634, 30512, 38129, 54926, 109215, 115991, 33541, 9174, 80736, 7280, 10059, 284, 320, 80736, 7280, 8, 52340, 7280, 280, 25287, 29295, 78183, 124403, 29295, 108048, 30512, 66378, 23187, 16144, 25287, 103306, 38129, 54926, 113009, 198, 9, 1568, 9, 30512, 38129, 56051, 16995, 126513, 111476, 300, 30512, 38129, 78434, 9174, 80736, 7280, 10059, 284, 3230, 7280, 439, 41063, 7280, 280, 333, 320, 7369, 976, 854, 8, 341, 322, 12515, 9, 12840, 9, 29295, 18576, 9032, 66680, 95371, 113801, 125119, 15024, 5486, 353, 48956, 14, 5862, 9, 20230, 60358, 109669, 47884, 15120, 24273, 16556, 110371, 105933, 27452, 48915, 15682, 43511, 16556, 103359, 117120, 116216, 61689, 113925, 5486, 43240, 119064, 57326, 77750, 32131, 68759, 11972, 29295, 112185, 48864, 104127, 16995, 100604, 109335, 5486, 122401, 126867, 58426, 105933, 27452, 48915, 30512, 118326, 39926, 353, 8514, 9, 54926, 41007, 38641, 9174, 9789, 19074, 77181, 5486, 117032, 115847, 15682, 20796, 19074, 94746, 97718, 33334, 32149, 102639, 16556, 112825, 110904, 38641, 9174, 119869, 20230, 5486, 37656, 102800, 76739, 109554, 29295, 107391, 108981, 107001, 106592, 114140, 78434, 12, 126229, 39926, 72315, 31750, 679, 15, 16556, 364, 2374, 24933, 9032, 1378, 6, 16556, 52884, 44971, 105048, 30512, 110008, 31540, 54926, 102052, 104405, 126693, 57980, 16995, 112130, 95532, 16, 198, 33671, 20230, 111476, 9, 25639, 449, 11338, 3252, 10110, 37, 20, 7705, 9, 220, 125845, 353, 31585, 510, 1820, 31750, 94746, 60, 311, 29125, 8773, 9, 104076, 68339, 1823, 1127, 95371, 38129, 112990, 102924, 60632, 26854, 107803, 115991, 33541, 118844, 112212, 5486, 68408, 66953, 26269, 102472, 16144, 72718, 91875, 29295, 105318, 84389, 33541, 9174, 85701, 16556, 5486, 3360, 9032, 1378, 29295, 22398, 117243, 10110, 125845, 39442, 117120, 22649, 7705, 84389, 104533, 5486, 68408, 66953, 26269, 102472, 11972, 15682, 27452, 48915, 29295, 102404, 21990, 56051, 23039, 16556, 122434, 78434, 10110, 17905, 61304, 16144, 33710, 64178, 30512, 112854, 107290, 61689, 32149, 11571, 75376, 76739, 109554, 30512, 112825, 110904, 20230, 102404, 91774, 108608, 107803, 115991, 33541, 9174, 28713, 19732, 116285, 5486, 33671, 16144, 23039, 16556, 111476, 9, 4919, 9, 29295, 27452, 48915, 30512, 102404, 21990, 124545, 121821, 16144, 121159, 15682, 111476, 2465, 707, 29295, 2994, 19732, 107624, 95001, 103646, 107803, 116771, 38641, 118844, 15682, 10573, 13956, 95371, 91774, 30369, 32149, 5486, 81410, 13956, 113699, 29430, 30512, 103350, 23039, 54926, 118733, 114140, 125545, 9174, 959, 865, 284, 856, 707, 19345, 545, 33671, 120950, 105755, 123499, 26854, 126465, 77181, 5486, 17905, 61304, 16144, 46034, 25333, 10110, 124981, 108981, 116294, 102860, 65299, 125845, 25197, 101198, 103857, 76739, 78983, 116294, 102860, 65299, 120732, 16995, 101860, 33121, 32149, 30512, 38129, 39926, 29430, 30512, 104873, 103854, 111476, 496, 16, 29295, 2994, 103195, 32149, 111476, 496, 17, 29295, 2994, 103195, 32149, 30512, 122225, 54926, 109215, 115991, 33541, 9174, 959, 865, 284, 610, 16, 19345, 368, 489, 610, 17, 19345, 545, 9, 2940, 9, 27452, 48915, 29295, 22398, 117243, 84389, 104533, 5486, 117032, 5486, 74482, 24273, 20230, 84851, 105242, 39926, 2994, 112603, 29295, 58, 125144, 76947, 60, 106839, 17701, 103646, 116245, 104088, 59739, 105784, 104468, 112825, 110904, 38641, 7058, 27452, 48915, 16144, 113385, 30512, 113954, 54926, 110115, 109215, 26854, 82973, 119707, 107441, 72315, 1811, 854, 29430, 30512, 111800, 112984, 78434, 109807, 105933, 125864, 33710, 29430, 30512, 32977, 127567, 17663, 125396, 16144, 101182, 117382, 16144, 29430, 30512, 104873, 115694, 72315, 1811, 92630, 95371, 116155, 15024, 5486, 109215, 20230, 106608, 100204, 38144, 57326, 77750, 32131, 91062, 30512, 106826, 103830, 103350, 23039, 78434, 9174, 9, 68408, 66953, 26269, 102472, 11972, 30512, 38129, 78434, 1811, 9, 220, 16, 15996, 389, 67947, 29295, 108008, 20230, 108882, 110993, 9554, 116787, 5486, 68408, 66953, 26269, 102472, 29295, 37615, 125845, 60868, 65575, 80805, 117675, 102803, 110101, 37823, 16144, 45, 1777, 16556, 122434, 54926, 107803, 5486, 107391, 108981, 107001, 27452, 48915, 30512, 44416, 48249, 54926, 113009, 15996, 389, 2724, 83345, 39921, 95371, 38129, 125545, 1811, 122270, 5486, 27142, 679, 17, 77181, 4702, 3092, 6247, 95371, 106839, 17701, 127145, 118844, 32977, 19361, 126120, 117657, 106592, 33334, 53508, 100, 62004, 78434, 9174, 10156, 3092, 6247, 30512, 19361, 126120, 116446, 68408, 66953, 115432, 103792, 107803, 5486, 91875, 19967, 15682, 124059, 111201, 108901, 26854, 31431, 33541, 1811, 4702, 3092, 6247, 30512, 19361, 126120, 20230, 112990, 5486, 68408, 66953, 26269, 102472, 11972, 15682, 5159, 6247, 16144, 48915, 34048, 16556, 22398, 117243, 84389, 5486, 5159, 6247, 30512, 80805, 22398, 22398, 33710, 11972, 21105, 103, 16995, 119869, 16144, 55999, 33035, 78244, 102158, 93488, 107507, 91062, 10110, 75158, 7705, 27452, 48915, 30512, 43568, 103984, 78434, 198, 3360, 112603, 126229, 30512, 96412, 104004, 90962, 52884, 109531, 110548, 30512, 38129, 127145, 1811, 109860, 108048, 15682, 2994, 27452, 48915, 30512, 58318, 107290, 61689, 113637, 27452, 77181, 5486, 88435, 32218, 112603, 15682, 2994, 116787, 106116, 101544, 30813, 30512, 114140, 112990, 27452, 48915, 29295, 102404, 21990, 121256, 9174, 928, 907, 284, 854, 280, 333, 320, 970, 6976, 624, 220, 15, 8, 443, 71486, 74105, 4788, 198, 12653, 6158, 3764, 1237, 443, 71486, 15037, 8813, 198, 27452, 48915, 76739, 109554, 15682, 33671, 16144, 19732, 108086, 38641, 9174, 39442, 117120, 22649, 16144, 27452, 48915, 29411, 2374, 24933, 9032, 1378, 5232, 90962, 52884, 109531, 110548, 126229, 29295, 90962, 52884, 109531, 110548, 16144, 76171, 105335, 107446, 20230, 116700, 84389, 100481, 107515, 1811, 6826, 24815, 10110, 7705, 16556, 198, 7844, 294, 284, 320, 7844, 89563, 26, 443, 18576, 9032, 1378, 198, 104721, 109033, 10110, 107391, 71634, 7705, 308, 90274, 198, 1735, 10110, 125845, 107059, 22398, 198, 2374, 6298, 941, 16144, 16995, 101860, 33121, 32149, 55031, 23954, 2374, 44325, 5486, 125845, 124773, 112694, 78349, 112900, 25287, 55031, 23954, 16078, 21806, 116749, 7705, 37026, 33014, 29295, 198, 3360, 9032, 1378, 30512, 104908, 78434, 9174, 127177, 112169, 77181, 111476, 104721, 109033, 46329, 198, 10493, 1150, 29295, 198, 3934, 20230, 50667, 102800, 198, 16078, 21806, 7058, 2994, 126229, 30512, 58318, 105262, 105908, 103082, 5486, 74482, 16556, 198, 3360, 9032, 1378, 20230, 106839, 47884, 105908, 125545, 1811, 105586, 25287, 109904, 27452, 15682, 33671, 16144, 19732, 108086, 38641, 9174, 7844, 30, 294, 284, 854, 280, 959, 274, 284, 294, 5533, 2178, 443, 10619, 11, 912, 4788, 320, 2201, 46329, 705, 4780, 8555, 959, 259, 284, 294, 24761, 2178, 443, 17343, 0, 294, 374, 74764, 11, 18576, 9032, 1378, 198, 103672, 29220, 57207, 94550, 15682, 103283, 16144, 41007, 16556, 23039, 126832, 115789, 57903, 33541, 1811, 28713, 19732, 116285, 5486, 33671, 16144, 66776, 21980, 236, 11883, 26955, 94, 105714, 39850, 102741, 105404, 16144, 107803, 29411, 898, 1118, 742, 3092, 12318, 1420, 1665, 865, 340, 87, 5533, 545, 33671, 16144, 121159, 102052, 109606, 115991, 33541, 9174, 67, 28152, 12318, 2178, 443, 82628, 311, 46329, 11, 18576, 9032, 1378, 13980, 4871, 279, 2547, 315, 279, 2663, 1749, 11, 539, 1618, 627, 85701, 120577, 126465, 15682, 111476, 16078, 21806, 76171, 105335, 107446, 30512, 103672, 107840, 33208, 54926, 110018, 20230, 93488, 107507, 91062, 29295, 38129, 54926, 115612, 26854, 33710, 64178, 29295, 113385, 16556, 102404, 21990, 78434, 9174, 76739, 126092, 103906, 123646, 103202, 102756, 105048, 16556, 38129, 107001, 76739, 126092, 103906, 16144, 107059, 22398, 13372, 29295, 5486, 6109, 108526, 103202, 16144, 121159, 91482, 102040, 76171, 45923, 104774, 106696, 16144, 107059, 22398, 13372, 19732, 112361, 103195, 107803, 16144, 116155, 627, 121159, 91482, 102040, 76171, 45923, 107059, 22398, 29295, 8906, 103195, 6109, 108526, 103202, 8906, 25688, 115991, 5486, 76739, 126092, 103906, 13372, 8906, 107407, 19732, 78434, 9174, 58426, 107803, 5486, 2196, 21320, 10110, 7705, 30512, 105324, 102802, 121406, 19732, 5486, 33671, 16144, 121159, 16556, 3360, 9032, 1378, 29295, 22398, 117243, 84389, 33541, 9174, 8906, 3729, 284, 502, 9359, 314, 4076, 284, 330, 5953, 42657, 402, 27788, 959, 2317, 284, 502, 82677, 545, 2196, 2510, 11613, 1943, 48605, 317, 2196, 21320, 2178, 443, 18576, 9032, 1378, 520, 420, 1584, 198, 108038, 30512, 23538, 17663, 113009, 82237, 107059, 22398, 198, 898, 538, 82677, 551, 61294, 198, 898, 32250, 87596, 29, 47139, 314, 456, 26, 743, 12355, 89046, 117139, 61826, 76739, 126092, 103906, 107059, 22398, 1811, 76739, 126092, 103906, 107059, 22398, 15682, 105494, 107059, 22398, 103195, 103846, 5486, 127177, 104774, 106696, 72661, 26955, 94, 105714, 125545, 9174, 898, 7276, 538, 9359, 198, 898, 925, 4076, 314, 456, 26, 743, 12355, 76739, 126092, 103906, 19732, 17620, 106627, 121159, 107059, 117718, 110176, 24273, 29295, 112361, 120613, 35894, 56965, 117083, 107803, 5486, 76739, 109554, 29295, 102404, 21990, 78434, 118844, 30512, 23951, 37656, 54926, 102052, 5486, 8906, 25688, 16144, 76739, 126092, 103906, 107059, 22398, 125845, 17620, 106627, 121159, 107059, 117718, 120613, 30512, 122489, 78434, 9174, 112296, 68171, 220, 112185, 58426, 114667, 29295, 78183, 124403, 119520, 116898, 101860, 33121, 116421, 76739, 126092, 103906, 107059, 22398, 29295, 2374, 6609, 8380, 18018, 30512, 120321, 105005, 54926, 28713, 102802, 20230, 110371, 76739, 109554, 29295, 102404, 21990, 78434, 9174, 104760, 105242, 16144, 113009, 61294, 5799, 11569, 10110, 7705, 16144, 3360, 9032, 1378, 104088, 38144, 72315, 198, 51330, 27452, 48915, 114475, 76622, 18655, 30369, 125396, 107407, 108031, 16, 118821, 108936, 109904, 126465, 15682, 5486, 108152, 78683, 67075, 57933, 71634, 126867, 107059, 22398, 30512, 102494, 48552, 54926, 100909, 38641, 1811, 38129, 110731, 102494, 48552, 123646, 103202, 102756, 105048, 114556, 108826, 103470, 5486, 107059, 22398, 106090, 114050, 16144, 122617, 16144, 109431, 102769, 26854, 44971, 115882, 29295, 37656, 106624, 102494, 48552, 110731, 106592, 114140, 54926, 109215, 115991, 33541, 1811, 66378, 20230, 5486, 57933, 71634, 103359, 47523, 16144, 121159, 16556, 126229, 110731, 198, 90711, 16144, 122617, 16144, 107420, 80805, 103906, 15682, 102494, 48552, 54926, 109215, 115991, 33541, 9174, 71289, 71289, 13828, 245, 101544, 26854, 27452, 109853, 15682, 36896, 106555, 105335, 91062, 18616, 3994, 30512, 57933, 71634, 54926, 110018, 20230, 22398, 117243, 107001, 14, 18576, 9032, 1378, 115188, 30512, 126229, 39926, 72315, 9174, 122571, 85701, 20230, 103899, 105262, 113009, 103283, 16144, 91774, 24273, 30512, 127145, 113637, 104091, 16144, 103899, 58942, 15682, 198, 330, 77693, 30512, 111098, 105784, 113009, 43511, 20230, 99849, 29295, 108608, 32149, 11571, 6360, 28713, 19732, 116285, 44, 11539, 39880, 115507, 102663, 38248, 115, 78205, 16073, 16556, 111476, 220, 118969, 75694, 17129, 26854, 108748, 104930, 11972, 20230, 53900, 29295, 76947, 95371, 41190, 54926, 107803, 5486, 47260, 52414, 42634, 108994, 11972, 15682, 91482, 76428, 102750, 22398, 90962, 99695, 44971, 38248, 115, 78205, 16073, 30512, 105324, 102802, 121406, 125175, 30512, 109215, 19732, 78434, 113637, 105933, 57207, 96452, 37823, 90962, 77181, 5486, 220, 220, 103963, 25359, 34171, 26130, 17701, 47260, 108304, 96452, 95371, 38129, 39926, 5486, 220, 18576, 9032, 1378, 95371, 18904, 111098, 54926, 104466, 125175, 30512, 85707, 23538, 33208, 125545, 1811, 59739, 109709, 5486, 2994, 30512, 116696, 48552, 54926, 109215, 15682, 103470, 5486, 47260, 52414, 42634, 108994, 55031, 125175, 30512, 105324, 102802, 121406, 121142, 108048, 33503, 29295, 57207, 94550, 108958, 16073, 125845, 107420, 20251, 117809, 103306, 40053, 20230, 38129, 88367, 10110, 124001, 85707, 23538, 33208, 111587, 64121, 7705, 108176, 104466, 54926, 105908, 125545, 9174, 898, 538, 3092, 2095, 198, 2039, 5475, 33, 2532, 33, 280, 898, 3092, 2095, 63774, 32, 2532, 32, 11, 5475, 33, 2532, 33, 340, 576, 5855, 32, 284, 2532, 32, 280, 322, 1226, 1541, 956, 1205, 311, 1817, 854, 1606, 279, 24999, 26127, 5593, 198, 322, 15921, 82, 433, 11, 3984, 499, 3952, 2512, 315, 10677, 496, 3713, 433, 627, 959, 1063, 1211, 284, 2532, 32, 34696, 2028, 545, 13177, 77693, 109853, 104405, 126693, 57980, 118544, 10646, 109853, 15682, 5486, 43240, 119064, 103899, 58942, 115991, 33541, 9174, 51330, 105933, 76739, 109554, 121894, 30512, 103181, 104699, 124122, 105755, 13177, 117727, 26854, 10646, 41007, 198, 9, 122401, 16325, 9, 15682, 5486, 353, 120273, 103664, 111848, 113404, 9, 121159, 32943, 118844, 15682, 5486, 107059, 22398, 353, 258, 55711, 9, 5486, 124001, 14, 125845, 1723, 92937, 353, 1762, 16902, 9, 124001, 353, 2252, 16902, 9, 123141, 16144, 122401, 16325, 9174, 31634, 54926, 20230, 111476, 9, 1058, 304, 55711, 9, 15682, 5486, 117032, 16144, 38129, 16556, 108010, 95543, 21105, 103, 16995, 107059, 117718, 44416, 103664, 107407, 106592, 114140, 78434, 10110, 56051, 29295, 76947, 5486, 107059, 22398, 15682, 353, 1962, 9, 15120, 80631, 104, 34171, 16144, 100604, 121894, 108176, 1811, 353, 4808, 16902, 9, 15682, 5486, 97518, 9039, 14, 39850, 102741, 105404, 111363, 17701, 48634, 103306, 58318, 58942, 110071, 119526, 125001, 47884, 59739, 116421, 44416, 103664, 109753, 20230, 123532, 30297, 109215, 107407, 106592, 115552, 15024, 5486, 2646, 77693, 33503, 20230, 108010, 95543, 15024, 5486, 353, 2252, 16902, 9, 15682, 5486, 97518, 9039, 14, 39850, 102741, 105404, 16144, 20834, 48634, 29295, 77693, 33503, 20230, 104662, 39926, 108010, 95543, 54926, 100909, 103470, 5486, 116700, 103646, 44416, 103664, 20230, 123532, 30297, 109215, 107407, 106592, 115552, 78434, 1811, 120273, 103664, 77195, 15682, 5486, 66953, 41758, 16144, 100604, 57326, 77750, 32131, 91062, 16144, 103350, 23039, 16325, 15682, 2646, 20230, 108010, 95543, 54926, 109215, 107407, 103846, 5486, 120273, 103664, 111848, 113404, 15682, 5486, 68408 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 25580, 32977, 76947, 101182, 125231, 105908, 78183, 32149, 103836, 107803, 65459, 107391, 71634, 30512, 38129, 54926, 109215, 115991, 33541, 9174, 80736, 7280, 10059, 284, 320, 80736, 7280, 8, 52340, 7280, 280, 25287, 29295, 78183, 124403, 29295, 108048, 30512, 66378, 23187, 16144, 25287, 103306, 38129, 54926, 113009, 198, 9, 1568, 9, 30512, 38129, 56051, 16995, 126513, 111476, 300, 30512, 38129, 78434, 9174, 80736, 7280, 10059, 284, 3230, 7280, 439, 41063, 7280, 280, 333, 320, 7369, 976, 854, 8, 341, 322, 12515, 9, 12840, 9, 29295, 18576, 9032, 66680, 95371, 113801, 125119, 15024, 5486, 353, 48956, 14, 5862, 9, 20230, 60358, 109669, 47884, 15120, 24273, 16556, 110371, 105933, 27452, 48915, 15682, 43511, 16556, 103359, 117120, 116216, 61689, 113925, 5486, 43240, 119064, 57326, 77750, 32131, 68759, 11972, 29295, 112185, 48864, 104127, 16995, 100604, 109335, 5486, 122401, 126867, 58426, 105933, 27452, 48915, 30512, 118326, 39926, 353, 8514, 9, 54926, 41007, 38641, 9174, 9789, 19074, 77181, 5486, 117032, 115847, 15682, 20796, 19074, 94746, 97718, 33334, 32149, 102639, 16556, 112825, 110904, 38641, 9174, 119869, 20230, 5486, 37656, 102800, 76739, 109554, 29295, 107391, 108981, 107001, 106592, 114140, 78434, 12, 126229, 39926, 72315, 31750, 679, 15, 16556, 364, 2374, 24933, 9032, 1378, 6, 16556, 52884, 44971, 105048, 30512, 110008, 31540, 54926, 102052, 104405, 126693, 57980, 16995, 112130, 95532, 16, 198, 33671, 20230, 111476, 9, 25639, 449, 11338, 3252, 10110, 37, 20, 7705, 9, 220, 125845, 353, 31585, 510, 1820, 31750, 94746, 60, 311, 29125, 8773, 9, 104076, 68339, 1823, 1127, 95371, 38129, 112990, 102924, 60632, 26854, 107803, 115991, 33541, 118844, 112212, 5486, 68408, 66953, 26269, 102472, 16144, 72718, 91875, 29295, 105318, 84389, 33541, 9174, 85701, 16556, 5486, 3360, 9032, 1378, 29295, 22398, 117243, 10110, 125845, 39442, 117120, 22649, 7705, 84389, 104533, 5486, 68408, 66953, 26269, 102472, 11972, 15682, 27452, 48915, 29295, 102404, 21990, 56051, 23039, 16556, 122434, 78434, 10110, 17905, 61304, 16144, 33710, 64178, 30512, 112854, 107290, 61689, 32149, 11571, 75376, 76739, 109554, 30512, 112825, 110904, 20230, 102404, 91774, 108608, 107803, 115991, 33541, 9174, 28713, 19732, 116285, 5486, 33671, 16144, 23039, 16556, 111476, 9, 4919, 9, 29295, 27452, 48915, 30512, 102404, 21990, 124545, 121821, 16144, 121159, 15682, 111476, 2465, 707, 29295, 2994, 19732, 107624, 95001, 103646, 107803, 116771, 38641, 118844, 15682, 10573, 13956, 95371, 91774, 30369, 32149, 5486, 81410, 13956, 113699, 29430, 30512, 103350, 23039, 54926, 118733, 114140, 125545, 9174, 959, 865, 284, 856, 707, 19345, 545, 33671, 120950, 105755, 123499, 26854, 126465, 77181, 5486, 17905, 61304, 16144, 46034, 25333, 10110, 124981, 108981, 116294, 102860, 65299, 125845, 25197, 101198, 103857, 76739, 78983, 116294, 102860, 65299, 120732, 16995, 101860, 33121, 32149, 30512, 38129, 39926, 29430, 30512, 104873, 103854, 111476, 496, 16, 29295, 2994, 103195, 32149, 111476, 496, 17, 29295, 2994, 103195, 32149, 30512, 122225, 54926, 109215, 115991, 33541, 9174, 959, 865, 284, 610, 16, 19345, 368, 489, 610, 17, 19345, 545, 9, 2940, 9, 27452, 48915, 29295, 22398, 117243, 84389, 104533, 5486, 117032, 5486, 74482, 24273, 20230, 84851, 105242, 39926, 2994, 112603, 29295, 58, 125144, 76947, 60, 106839, 17701, 103646, 116245, 104088, 59739, 105784, 104468, 112825, 110904, 38641, 7058, 27452, 48915, 16144, 113385, 30512, 113954, 54926, 110115, 109215, 26854, 82973, 119707, 107441, 72315, 1811, 854, 29430, 30512, 111800, 112984, 78434, 109807, 105933, 125864, 33710, 29430, 30512, 32977, 127567, 17663, 125396, 16144, 101182, 117382, 16144, 29430, 30512, 104873, 115694, 72315, 1811, 92630, 95371, 116155, 15024, 5486, 109215, 20230, 106608, 100204, 38144, 57326, 77750, 32131, 91062, 30512, 106826, 103830, 103350, 23039, 78434, 9174, 9, 68408, 66953, 26269, 102472, 11972, 30512, 38129, 78434, 1811, 9, 220, 16, 15996, 389, 67947, 29295, 108008, 20230, 108882, 110993, 9554, 116787, 5486, 68408, 66953, 26269, 102472, 29295, 37615, 125845, 60868, 65575, 80805, 117675, 102803, 110101, 37823, 16144, 45, 1777, 16556, 122434, 54926, 107803, 5486, 107391, 108981, 107001, 27452, 48915, 30512, 44416, 48249, 54926, 113009, 15996, 389, 2724, 83345, 39921, 95371, 38129, 125545, 1811, 122270, 5486, 27142, 679, 17, 77181, 4702, 3092, 6247, 95371, 106839, 17701, 127145, 118844, 32977, 19361, 126120, 117657, 106592, 33334, 53508, 100, 62004, 78434, 9174, 10156, 3092, 6247, 30512, 19361, 126120, 116446, 68408, 66953, 115432, 103792, 107803, 5486, 91875, 19967, 15682, 124059, 111201, 108901, 26854, 31431, 33541, 1811, 4702, 3092, 6247, 30512, 19361, 126120, 20230, 112990, 5486, 68408, 66953, 26269, 102472, 11972, 15682, 5159, 6247, 16144, 48915, 34048, 16556, 22398, 117243, 84389, 5486, 5159, 6247, 30512, 80805, 22398, 22398, 33710, 11972, 21105, 103, 16995, 119869, 16144, 55999, 33035, 78244, 102158, 93488, 107507, 91062, 10110, 75158, 7705, 27452, 48915, 30512, 43568, 103984, 78434, 198, 3360, 112603, 126229, 30512, 96412, 104004, 90962, 52884, 109531, 110548, 30512, 38129, 127145, 1811, 109860, 108048, 15682, 2994, 27452, 48915, 30512, 58318, 107290, 61689, 113637, 27452, 77181, 5486, 88435, 32218, 112603, 15682, 2994, 116787, 106116, 101544, 30813, 30512, 114140, 112990, 27452, 48915, 29295, 102404, 21990, 121256, 9174, 928, 907, 284, 854, 280, 333, 320, 970, 6976, 624, 220, 15, 8, 443, 71486, 74105, 4788, 198, 12653, 6158, 3764, 1237, 443, 71486, 15037, 8813, 198, 27452, 48915, 76739, 109554, 15682, 33671, 16144, 19732, 108086, 38641, 9174, 39442, 117120, 22649, 16144, 27452, 48915, 29411, 2374, 24933, 9032, 1378, 5232, 90962, 52884, 109531, 110548, 126229, 29295, 90962, 52884, 109531, 110548, 16144, 76171, 105335, 107446, 20230, 116700, 84389, 100481, 107515, 1811, 6826, 24815, 10110, 7705, 16556, 198, 7844, 294, 284, 320, 7844, 89563, 26, 443, 18576, 9032, 1378, 198, 104721, 109033, 10110, 107391, 71634, 7705, 308, 90274, 198, 1735, 10110, 125845, 107059, 22398, 198, 2374, 6298, 941, 16144, 16995, 101860, 33121, 32149, 55031, 23954, 2374, 44325, 5486, 125845, 124773, 112694, 78349, 112900, 25287, 55031, 23954, 16078, 21806, 116749, 7705, 37026, 33014, 29295, 198, 3360, 9032, 1378, 30512, 104908, 78434, 9174, 127177, 112169, 77181, 111476, 104721, 109033, 46329, 198, 10493, 1150, 29295, 198, 3934, 20230, 50667, 102800, 198, 16078, 21806, 7058, 2994, 126229, 30512, 58318, 105262, 105908, 103082, 5486, 74482, 16556, 198, 3360, 9032, 1378, 20230, 106839, 47884, 105908, 125545, 1811, 105586, 25287, 109904, 27452, 15682, 33671, 16144, 19732, 108086, 38641, 9174, 7844, 30, 294, 284, 854, 280, 959, 274, 284, 294, 5533, 2178, 443, 10619, 11, 912, 4788, 320, 2201, 46329, 705, 4780, 8555, 959, 259, 284, 294, 24761, 2178, 443, 17343, 0, 294, 374, 74764, 11, 18576, 9032, 1378, 198, 103672, 29220, 57207, 94550, 15682, 103283, 16144, 41007, 16556, 23039, 126832, 115789, 57903, 33541, 1811, 28713, 19732, 116285, 5486, 33671, 16144, 66776, 21980, 236, 11883, 26955, 94, 105714, 39850, 102741, 105404, 16144, 107803, 29411, 898, 1118, 742, 3092, 12318, 1420, 1665, 865, 340, 87, 5533, 545, 33671, 16144, 121159, 102052, 109606, 115991, 33541, 9174, 67, 28152, 12318, 2178, 443, 82628, 311, 46329, 11, 18576, 9032, 1378, 13980, 4871, 279, 2547, 315, 279, 2663, 1749, 11, 539, 1618, 627, 85701, 120577, 126465, 15682, 111476, 16078, 21806, 76171, 105335, 107446, 30512, 103672, 107840, 33208, 54926, 110018, 20230, 93488, 107507, 91062, 29295, 38129, 54926, 115612, 26854, 33710, 64178, 29295, 113385, 16556, 102404, 21990, 78434, 9174, 76739, 126092, 103906, 123646, 103202, 102756, 105048, 16556, 38129, 107001, 76739, 126092, 103906, 16144, 107059, 22398, 13372, 29295, 5486, 6109, 108526, 103202, 16144, 121159, 91482, 102040, 76171, 45923, 104774, 106696, 16144, 107059, 22398, 13372, 19732, 112361, 103195, 107803, 16144, 116155, 627, 121159, 91482, 102040, 76171, 45923, 107059, 22398, 29295, 8906, 103195, 6109, 108526, 103202, 8906, 25688, 115991, 5486, 76739, 126092, 103906, 13372, 8906, 107407, 19732, 78434, 9174, 58426, 107803, 5486, 2196, 21320, 10110, 7705, 30512, 105324, 102802, 121406, 19732, 5486, 33671, 16144, 121159, 16556, 3360, 9032, 1378, 29295, 22398, 117243, 84389, 33541, 9174, 8906, 3729, 284, 502, 9359, 314, 4076, 284, 330, 5953, 42657, 402, 27788, 959, 2317, 284, 502, 82677, 545, 2196, 2510, 11613, 1943, 48605, 317, 2196, 21320, 2178, 443, 18576, 9032, 1378, 520, 420, 1584, 198, 108038, 30512, 23538, 17663, 113009, 82237, 107059, 22398, 198, 898, 538, 82677, 551, 61294, 198, 898, 32250, 87596, 29, 47139, 314, 456, 26, 743, 12355, 89046, 117139, 61826, 76739, 126092, 103906, 107059, 22398, 1811, 76739, 126092, 103906, 107059, 22398, 15682, 105494, 107059, 22398, 103195, 103846, 5486, 127177, 104774, 106696, 72661, 26955, 94, 105714, 125545, 9174, 898, 7276, 538, 9359, 198, 898, 925, 4076, 314, 456, 26, 743, 12355, 76739, 126092, 103906, 19732, 17620, 106627, 121159, 107059, 117718, 110176, 24273, 29295, 112361, 120613, 35894, 56965, 117083, 107803, 5486, 76739, 109554, 29295, 102404, 21990, 78434, 118844, 30512, 23951, 37656, 54926, 102052, 5486, 8906, 25688, 16144, 76739, 126092, 103906, 107059, 22398, 125845, 17620, 106627, 121159, 107059, 117718, 120613, 30512, 122489, 78434, 9174, 112296, 68171, 220, 112185, 58426, 114667, 29295, 78183, 124403, 119520, 116898, 101860, 33121, 116421, 76739, 126092, 103906, 107059, 22398, 29295, 2374, 6609, 8380, 18018, 30512, 120321, 105005, 54926, 28713, 102802, 20230, 110371, 76739, 109554, 29295, 102404, 21990, 78434, 9174, 104760, 105242, 16144, 113009, 61294, 5799, 11569, 10110, 7705, 16144, 3360, 9032, 1378, 104088, 38144, 72315, 198, 51330, 27452, 48915, 114475, 76622, 18655, 30369, 125396, 107407, 108031, 16, 118821, 108936, 109904, 126465, 15682, 5486, 108152, 78683, 67075, 57933, 71634, 126867, 107059, 22398, 30512, 102494, 48552, 54926, 100909, 38641, 1811, 38129, 110731, 102494, 48552, 123646, 103202, 102756, 105048, 114556, 108826, 103470, 5486, 107059, 22398, 106090, 114050, 16144, 122617, 16144, 109431, 102769, 26854, 44971, 115882, 29295, 37656, 106624, 102494, 48552, 110731, 106592, 114140, 54926, 109215, 115991, 33541, 1811, 66378, 20230, 5486, 57933, 71634, 103359, 47523, 16144, 121159, 16556, 126229, 110731, 198, 90711, 16144, 122617, 16144, 107420, 80805, 103906, 15682, 102494, 48552, 54926, 109215, 115991, 33541, 9174, 71289, 71289, 13828, 245, 101544, 26854, 27452, 109853, 15682, 36896, 106555, 105335, 91062, 18616, 3994, 30512, 57933, 71634, 54926, 110018, 20230, 22398, 117243, 107001, 14, 18576, 9032, 1378, 115188, 30512, 126229, 39926, 72315, 9174, 122571, 85701, 20230, 103899, 105262, 113009, 103283, 16144, 91774, 24273, 30512, 127145, 113637, 104091, 16144, 103899, 58942, 15682, 198, 330, 77693, 30512, 111098, 105784, 113009, 43511, 20230, 99849, 29295, 108608, 32149, 11571, 6360, 28713, 19732, 116285, 44, 11539, 39880, 115507, 102663, 38248, 115, 78205, 16073, 16556, 111476, 220, 118969, 75694, 17129, 26854, 108748, 104930, 11972, 20230, 53900, 29295, 76947, 95371, 41190, 54926, 107803, 5486, 47260, 52414, 42634, 108994, 11972, 15682, 91482, 76428, 102750, 22398, 90962, 99695, 44971, 38248, 115, 78205, 16073, 30512, 105324, 102802, 121406, 125175, 30512, 109215, 19732, 78434, 113637, 105933, 57207, 96452, 37823, 90962, 77181, 5486, 220, 220, 103963, 25359, 34171, 26130, 17701, 47260, 108304, 96452, 95371, 38129, 39926, 5486, 220, 18576, 9032, 1378, 95371, 18904, 111098, 54926, 104466, 125175, 30512, 85707, 23538, 33208, 125545, 1811, 59739, 109709, 5486, 2994, 30512, 116696, 48552, 54926, 109215, 15682, 103470, 5486, 47260, 52414, 42634, 108994, 55031, 125175, 30512, 105324, 102802, 121406, 121142, 108048, 33503, 29295, 57207, 94550, 108958, 16073, 125845, 107420, 20251, 117809, 103306, 40053, 20230, 38129, 88367, 10110, 124001, 85707, 23538, 33208, 111587, 64121, 7705, 108176, 104466, 54926, 105908, 125545, 9174, 898, 538, 3092, 2095, 198, 2039, 5475, 33, 2532, 33, 280, 898, 3092, 2095, 63774, 32, 2532, 32, 11, 5475, 33, 2532, 33, 340, 576, 5855, 32, 284, 2532, 32, 280, 322, 1226, 1541, 956, 1205, 311, 1817, 854, 1606, 279, 24999, 26127, 5593, 198, 322, 15921, 82, 433, 11, 3984, 499, 3952, 2512, 315, 10677, 496, 3713, 433, 627, 959, 1063, 1211, 284, 2532, 32, 34696, 2028, 545, 13177, 77693, 109853, 104405, 126693, 57980, 118544, 10646, 109853, 15682, 5486, 43240, 119064, 103899, 58942, 115991, 33541, 9174, 51330, 105933, 76739, 109554, 121894, 30512, 103181, 104699, 124122, 105755, 13177, 117727, 26854, 10646, 41007, 198, 9, 122401, 16325, 9, 15682, 5486, 353, 120273, 103664, 111848, 113404, 9, 121159, 32943, 118844, 15682, 5486, 107059, 22398, 353, 258, 55711, 9, 5486, 124001, 14, 125845, 1723, 92937, 353, 1762, 16902, 9, 124001, 353, 2252, 16902, 9, 123141, 16144, 122401, 16325, 9174, 31634, 54926, 20230, 111476, 9, 1058, 304, 55711, 9, 15682, 5486, 117032, 16144, 38129, 16556, 108010, 95543, 21105, 103, 16995, 107059, 117718, 44416, 103664, 107407, 106592, 114140, 78434, 10110, 56051, 29295, 76947, 5486, 107059, 22398, 15682, 353, 1962, 9, 15120, 80631, 104, 34171, 16144, 100604, 121894, 108176, 1811, 353, 4808, 16902, 9, 15682, 5486, 97518, 9039, 14, 39850, 102741, 105404, 111363, 17701, 48634, 103306, 58318, 58942, 110071, 119526, 125001, 47884, 59739, 116421, 44416, 103664, 109753, 20230, 123532, 30297, 109215, 107407, 106592, 115552, 15024, 5486, 2646, 77693, 33503, 20230, 108010, 95543, 15024, 5486, 353, 2252, 16902, 9, 15682, 5486, 97518, 9039, 14, 39850, 102741, 105404, 16144, 20834, 48634, 29295, 77693, 33503, 20230, 104662, 39926, 108010, 95543, 54926, 100909, 103470, 5486, 116700, 103646, 44416, 103664, 20230, 123532, 30297, 109215, 107407, 106592, 115552, 78434, 1811, 120273, 103664, 77195, 15682, 5486, 66953, 41758, 16144, 100604, 57326, 77750, 32131, 91062, 16144, 103350, 23039, 16325, 15682, 2646, 20230, 108010, 95543, 54926, 109215, 107407, 103846, 5486, 120273, 103664, 111848, 113404, 15682, 5486, 68408 ]
[ 66953, 115432, 102494, 65575, 16556, 103350, 104983, 20230, 116696, 48552, 84389, 5486, 353, 265, 29399, 9, 16556, 43568, 126120, 33208, 1811, 122401, 103646, 123141, 80805, 108526, 108941, 107446, 30512, 112366, 33208, 78434, 9174, 85701, 112212, 5486, 44416, 103664, 109753, 16144, 108010, 95543, 16144, 113702, 103195, 198, 3360, 9032, 1378, 126465, 30512, 18904, 111098, 125545, 1811, 28713, 19732, 116285, 5486, 107059, 22398, 16556, 90962, 52884, 109531, 110548, 107420, 80805, 103906, 198, 55, 30512, 38129, 15024, 5486, 74482, 16556, 58426, 39850, 102741, 105404, 16144, 16, 59739, 30512, 105324, 102802, 20834, 102131, 103306, 111476, 55, 29295, 2994, 112603, 114792, 59739, 107803, 115847, 15682, 198, 3360, 9032, 1378, 115717, 33541, 9174, 898, 742, 40767, 55, 746, 55, 34696, 23958, 2178, 443, 422, 1630, 907, 374, 854, 11, 499, 690, 636, 264, 18576, 9032, 1378, 198, 90620, 15024, 5486, 39850, 102741, 105404, 16144, 25580, 29172, 77195, 103306, 13177, 107420, 80805, 103906, 55, 20230, 4679, 112603, 30512, 96412, 109315, 109335, 103082, 107515, 118587, 116700, 112990, 5486, 25580, 43032, 16144, 57207, 96452, 37823, 90962, 30512, 103181, 104699, 105908, 125545, 9174, 322, 16834, 2082, 17517, 512, 5883, 742, 3075, 77721, 12957, 14396, 44132, 320, 1630, 976, 854, 1465, 322, 9522, 51330, 103846, 5486, 1811, 28, 39880, 115507, 102663, 38248, 115, 78205, 16073, 102052, 198, 9, 2123, 71659, 9, 107420, 109531, 110548, 29295, 48706, 78434, 9174, 125845, 111476, 9, 2256, 919, 9, 30512, 38129, 39926, 5486, 120273, 103664, 111848, 113404, 30512, 126543, 125545, 1811, 23743, 5232, 51330, 11883, 102158, 15682, 39379, 95674, 48290, 113468, 19967, 109115, 102944, 103195, 120266, 78244, 82317, 54926, 95001, 112603, 115991, 33541, 469, 3168, 301, 57326, 77750, 32131, 101198, 94550, 78244, 102158, 16144, 113404, 114556, 89046, 39926, 104076, 3360, 90962, 52884, 109531, 110548, 16144, 8062, 20230, 39880, 122086, 22398, 119607, 103306, 16995, 104533, 50834, 5486, 125845, 88435, 32218, 112603, 29295, 35894, 115717, 5486, 88435, 32218, 39850, 102741, 105404, 20230, 39880, 122086, 22398, 119607, 103306, 16995, 104533, 50834, 20230, 198, 3360, 9032, 1378, 29295, 22398, 117243, 84389, 33541, 9174, 35894, 88435, 32218, 16144, 88435, 32218, 39850, 102741, 105404, 20230, 39880, 122086, 22398, 56051, 107803, 198, 928, 610, 284, 925, 11428, 280, 496, 31083, 2178, 443, 2571, 854, 5905, 4788, 198, 3360, 90962, 52884, 109531, 110548, 16144, 107420, 80805, 103906, 29295, 39880, 122086, 22398, 56051, 107803, 198, 12965, 3308, 7508, 341, 10909, 2909, 10909, 280, 2347, 10909, 3040, 1066, 2571, 18576, 8464, 16848, 4204, 198, 30715, 26, 14644, 5232, 720, 6893, 2964, 16144, 31640, 78183, 112586, 198, 13905, 1087, 21564, 30512, 38129, 39926, 64121, 38144, 72315, 198, 51330, 104466, 5486, 1747, 30512, 37705, 22023, 39926, 860, 32943, 16556, 860, 30512, 44971, 108506, 122835, 119607, 114267, 110018, 115408, 15682, 198, 1211, 5905, 539, 743, 311, 459, 2937, 315, 459, 1665, 30512, 115181, 109768, 79721, 9174, 31, 517, 5159, 3106, 386, 284, 502, 3092, 3106, 545, 31, 6893, 2732, 17405, 5159, 11663, 860, 19302, 1580, 498, 386, 1237, 443, 1493, 304, 721, 5159, 11663, 860, 11, 279, 5008, 574, 18576, 198, 68408, 66953, 115432, 112212, 5486, 123604, 29295, 5159, 11663, 860, 32943, 16556, 3360, 103195, 105908, 20379, 84389, 79721, 1811, 86127, 29295, 77693, 30512, 122489, 54926, 103296, 29411, 31, 13905, 1087, 21564, 17405, 5159, 11663, 860, 19302, 1580, 498, 386, 317, 80539, 122582, 30297, 17129, 47884, 16995, 100472, 9174, 122270, 5486, 119869, 55031, 198, 13905, 1087, 21564, 114792, 107462, 104435, 104468, 5486, 103350, 104983, 102052, 76739, 109554, 111769, 105352, 32149, 124233, 121140, 5486, 108901, 109020, 41007, 16556, 19967, 13153, 103646, 198, 8984, 33710, 107610, 107809, 117083, 107803, 5486, 9789, 19074, 198, 113040, 104680, 108295, 198, 13905, 1087, 21564, 16144, 17297, 20230, 76739, 109554, 126365, 105262, 15024, 78183, 29295, 103468, 101911, 30512, 80172, 102639, 30369, 55031, 38641, 9174, 31, 78936, 744, 6609, 21580, 6609, 860, 2732, 198, 860, 13229, 23825, 284, 330, 3106, 8167, 886, 861, 80433, 3106, 29, 3092, 16206, 284, 502, 1796, 80433, 3106, 4000, 5159, 16206, 1943, 1792, 3092, 3106, 1449, 2691, 397, 8984, 7689, 386, 304, 3092, 16206, 340, 322, 20685, 20831, 398, 5238, 3770, 13, 86669, 287, 2795, 25, 4250, 5625, 1749, 1912, 364, 38520, 6, 311, 2536, 6953, 5096, 955, 3075, 11, 1550, 499, 30730, 311, 665, 7776, 279, 6872, 5380, 31, 13905, 1087, 21564, 446, 5159, 11663, 860, 19302, 1580, 803, 524, 614, 397, 80673, 115408, 15682, 51330, 13177, 76739, 109554, 10646, 20230, 109606, 103470, 39880, 115507, 102663, 38248, 115, 78205, 16073, 30512, 103350, 23039, 54926, 105908, 103082, 79721, 9174, 8984, 33710, 107610, 16144, 106391, 67178, 30512, 33671, 119775, 122489, 54926, 118733, 5486, 76739, 109554, 30512, 108167, 21418, 47884, 105908, 103082, 79721, 9174, 71670, 7689, 386, 304, 3092, 16206, 1287, 9522, 9789, 19074, 29295, 113164, 80805, 60868, 102860, 19732, 64936, 32149, 42891, 22957, 30512, 125144, 50338, 107113, 103846, 118816, 112391, 79721, 9174, 113170, 112568, 15682, 77693, 109853, 99849, 29295, 125545, 32149, 11571, 720, 3360, 126229, 107118, 127091, 5486, 80539, 77693, 30512, 68408, 66953, 115432, 54926, 41007, 30512, 122984, 103792, 43240, 119064, 126521, 103899, 58942, 29295, 110382, 20230, 57903, 33541, 119520, 110371, 109606, 30512, 103181, 104699, 41007, 5486, 101182, 16995, 15682, 83747, 103470, 107173, 77693, 30512, 115232, 33503, 58942, 126172, 47884, 54926, 41007, 15682, 102717, 19732, 124592, 124897, 9174, 126313, 9039, 30512, 116696, 48552, 54926, 720, 28713, 19732, 116285, 5486, 39850, 102741, 105404, 15682, 108901, 109020, 73686, 9039, 30512, 116696, 48552, 39926, 77693, 33503, 29295, 2994, 32149, 104405, 32149, 30512, 114140, 15024, 111476, 64761, 30512, 22398, 117243, 78434, 118844, 15682, 110371, 113173, 16144, 113009, 31958, 33503, 111201, 19967, 13153, 103646, 27452, 48915, 38641, 9174, 64761, 16144, 109713, 71634, 119539, 47307, 15682, 73686, 9039, 103306, 80805, 32131, 39850, 108337, 16144, 120613, 19732, 39850, 26269, 64810, 78767, 30813, 58942, 32977, 108167, 33541, 105879, 5486, 122401, 30046, 20230, 109606, 29295, 99849, 103195, 32149, 30512, 37656, 105184, 20230, 108044, 105262, 105908, 125545, 9174, 898, 742, 3234, 23958, 38585, 1211, 2909, 8, 341, 333, 6922, 624, 854, 340, 7265, 502, 30435, 446, 2347, 498, 330, 24581, 264, 5905, 311, 2909, 7470, 21370, 226, 64178, 124905, 30297, 720, 107734, 20230, 80195, 59739, 105908, 108608, 16995, 47884, 59739, 116421, 102803, 110101, 37823, 32977, 57903, 33541, 1811, 28713, 19732, 116285, 5486, 330, 1079, 13279, 716, 1, 15682, 108149, 112568, 29295, 121159, 30512, 102181, 119188, 56965, 5486, 66378, 20230, 30591, 112568, 29295, 77693, 120577, 80356, 124905, 30297, 107803, 5486, 104970, 58655, 30512, 30591, 112568, 20230, 104908, 54926, 105908, 125545, 5232, 2876, 3360, 3994, 198, 93488, 107507, 91062, 116696, 48552, 19732, 109713, 80805, 106696, 116696, 48552, 30512, 88367, 117657, 198, 14396, 86112, 6922, 976, 854, 8, 120950, 106391, 17161, 124905, 30297, 330, 13068, 6247, 71659, 1, 115991, 33541, 5232, 68042, 65575, 106045, 103664, 16144, 126362, 104076, 1, 4226, 25023, 1, 32977, 57903, 33541, 118844, 124905, 30297, 19732, 110371, 105933, 80356, 124905, 30297, 105908, 125545, 9174, 898, 742, 3234, 50, 4512, 287, 2625, 11250, 60, 2909, 340, 77693, 117824, 16995, 5486, 4226, 25023, 30512, 91482, 123186, 107420, 64810, 22398, 112028, 34048, 117657, 118733, 111476, 2347, 15682, 103350, 23039, 126101, 2994, 119703, 32149, 116696, 48552, 84389, 33541, 1811, 126229, 39926, 72315, 5232, 3962, 25023, 854, 116696, 48552, 198, 109887, 44971, 107060, 121159, 102741, 37823, 72369, 38248, 115, 78205, 16073, 720, 77693, 107173, 108149, 112568, 15682, 108064, 32977, 110219, 16144, 102491, 16995, 121159, 124905, 76947, 30591, 112568, 116907, 16144, 39880, 107420, 113335, 30512, 47260, 114228, 57183, 94550, 54926, 105908, 125545, 1811, 28713, 19732, 116285, 5486, 110382, 20230, 2994, 126229, 30512, 115232, 15017, 231, 54926, 113009, 38129, 108608, 106391, 67178, 33014, 115991, 33541, 118844, 15682, 198, 16078, 3203, 29, 19732, 112361, 126067, 20230, 75146, 109669, 102532, 123604, 33208, 116216, 61689, 9174, 86126, 22202, 62662, 8284, 93953, 933, 898, 2080, 2876, 3360, 3203, 29, 1405, 350, 25, 538, 198, 456, 198, 333, 5570, 970, 624, 854, 340, 7265, 502, 4204, 446, 2994, 907, 539, 5535, 803, 751, 198, 333, 320, 970, 624, 854, 340, 7265, 502, 4204, 446, 2994, 907, 539, 5535, 7470, 3220, 284, 907, 280, 898, 1118, 18479, 5793, 350, 7, 11250, 3203, 29, 539, 3360, 1150, 340, 693, 539, 3360, 1150, 6298, 280, 898, 1118, 18479, 5793, 2876, 3360, 3203, 2284, 51, 907, 340, 693, 502, 2876, 3360, 3203, 29, 314, 5273, 284, 907, 2670, 2994, 30512, 110008, 31540, 21105, 103, 102334, 62004, 20230, 5486, 117864, 47884, 95543, 103359, 16144, 106592, 104067, 13153, 54926, 102677, 113173, 30512, 21418, 102532, 111476, 16078, 3203, 29, 30512, 38129, 54926, 16144, 19732, 112361, 41007, 30512, 38129, 78434, 1811, 110382, 77181, 16995, 47884, 59739, 116421, 27452, 30512, 20379, 78434, 9174, 11250, 51096, 29, 1732, 284, 854, 26, 443, 3872, 4788, 198, 11250, 51096, 29, 1732, 284, 502, 7508, 2178, 443, 10619, 198, 11250, 51096, 29, 1732, 284, 2175, 10909, 2178, 443, 3872, 4788, 422, 2175, 10909, 368, 4780, 854, 198, 11250, 3203, 29, 15682, 198, 51, 110792, 56965, 16556, 109163, 30868, 247, 112535, 107391, 71634, 110731, 103846, 5486, 109215, 26854, 116245, 105110, 116414, 72661, 38129, 125545, 1811, 28713, 19732, 116285, 111476, 10909, 90962, 52884, 109531, 110548, 30512, 198, 11250, 51096, 29, 30512, 18655, 30369, 39850, 102741, 105404, 20230, 110968, 17663, 105908, 125545, 9174, 10909, 1732, 284, 502, 7508, 314, 4076, 284, 330, 13379, 1, 2670, 8144, 678, 30866, 317, 898, 1118, 742, 9842, 678, 7, 11250, 51096, 29, 1732, 340, 12653, 6158, 30866, 6298, 3040, 317, 3360, 110008, 37729, 112603, 16144, 107803, 19732, 112361, 104466, 111476, 1150, 107420, 80805, 103906, 30512, 75910, 39926, 75146, 17920, 236, 117282, 112603, 20230, 39880, 122086, 22398, 78434, 1811, 101182, 16995, 15682, 5486, 31958, 20379, 9554, 107391, 71634, 125845, 109163, 30868, 247, 9554, 107391, 71634, 30512, 38129, 125545, 1811, 88852, 16144, 114941, 31431, 112603, 114792, 59739, 27452, 114447, 105908, 125545, 9174, 10909, 1732, 284, 2175, 10909, 545, 898, 1118, 2876, 3360, 51096, 29, 2175, 10909, 746, 693, 502, 7508, 314, 4076, 284, 330, 13379, 1, 2670, 101182, 16995, 15682, 5486, 107391, 71634, 30512, 103350, 23039, 39926, 39850, 102741, 105404, 29295, 198, 51, 10110, 51330, 126513, 198, 10909, 7705, 30512, 104196, 17663, 110018, 105352, 38129, 125545, 1811, 28713, 19732, 116285, 5486, 33671, 16144, 121159, 15682, 17905, 61304, 16144, 121159, 19732, 117864, 47884, 112361, 38641, 9174, 898, 1118, 7508, 2175, 10909, 746, 106536, 94, 105714, 45829, 19732, 103214, 64121, 114146, 30369, 720, 11250, 3203, 29, 30512, 26955, 94, 105714, 39850, 102741, 105404, 19732, 103214, 64121, 114146, 104533, 5486, 122270, 43240, 119064, 127749, 30512, 71493, 110590, 125545, 1811, 26955, 94, 105714, 39850, 102741, 105404, 29295, 67645, 119775, 91774, 105262, 116421, 27452, 30512, 20379, 78434, 9174, 898, 1118, 538, 2876, 3360, 12318, 198, 898, 1118, 350, 2876, 3360, 3203, 2284, 576, 350, 571, 576, 8, 1405, 350, 25, 538, 198, 333, 8165, 576, 624, 854, 340, 693, 571, 576, 280, 80539, 115847, 29295, 58426, 33655, 16995, 24273, 16144, 27452, 38641, 9174, 76715, 198, 48154, 121846, 103296, 20230, 115408, 15682, 76715, 16556, 17905, 61304, 16144, 121159, 30512, 121298, 121256, 3490, 122887, 78244, 102158, 121432, 720, 34, 1569, 225, 21, 13, 15, 15682, 115847, 30512, 114715, 46034, 103129, 76622, 54926, 330, 2994, 77195, 114308, 102446, 70203, 45829, 1, 30512, 106839, 17701, 121256, 113637, 121432, 30512, 38129, 112990, 5486, 102750, 71634, 56051, 90962, 52884, 109531, 110548, 30512, 126229, 103082, 108048, 120577, 16995, 101860, 33121, 32149, 29295, 198, 2994, 127303, 104984, 5486, 29430, 37087, 33014, 29295, 198, 2994, 30512, 104196, 78434, 9174, 85701, 112212, 5486, 107803, 113468, 15682, 5486, 125864, 33710, 116696, 48552, 16144, 18904, 9039, 29295, 114485, 31431, 33541, 1811, 106391, 17161, 15682, 102208, 45923, 67075, 16144, 112772, 107750, 99397, 39404, 30512, 47000, 105784, 100909, 38641, 1811, 27452, 116285, 33671, 120950, 121159, 104088, 38144, 72315, 9174, 959, 2686, 284, 3224, 4710, 1423, 4710, 69994, 4710, 13020, 280, 11389, 29295, 198, 16813, 102677, 107420, 80805, 103906, 114792, 59739, 198, 1423, 25287, 16144, 90962, 52884, 109531, 110548, 103195, 19732, 78434, 9174, 11389, 111476, 1423, 111476, 69994, 5486, 125845, 198, 13020, 29295, 198, 2994, 103195, 107803, 111476, 13, 15636, 499, 1193, 617, 311, 1817, 3508, 5102, 198, 285, 2994, 63, 38641, 9174, 85701, 15682, 72238, 116366, 114420, 121432, 119627, 5486, 108134, 29295, 83747, 103470, 38144, 111587, 64121, 33541, 1811, 220, 19, 16144, 117591, 67645, 33121, 29295, 2994, 103195, 32149, 15682, 31958, 33503, 32149, 77181, 124897, 9174, 1808, 88367, 120950, 103214, 64121, 121423, 11571, 720, 34, 1569, 225, 102052, 198, 16078, 3203, 29, 16144, 46078, 16144, 66870, 105838, 83799, 115991, 33541, 109807, 104466, 198, 396, 30, 119775, 117809, 16144, 123090, 107750, 99397, 39404, 30512, 22324, 47884, 118733, 127091, 30512, 2994, 117657, 105908, 125545, 9174, 34, 1569, 225, 20230, 17905, 61304, 16144, 198, 11250, 3203, 29, 106391, 67178, 33014, 120950, 102944, 115991, 5486, 42016, 103826, 16144, 95399, 61304, 108948, 27929, 124749, 99750, 103001, 228, 39404, 10110, 6447, 7705, 29295, 30591, 104984, 111476, 898, 742, 9842, 678 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 66953, 115432, 102494, 65575, 16556, 103350, 104983, 20230, 116696, 48552, 84389, 5486, 353, 265, 29399, 9, 16556, 43568, 126120, 33208, 1811, 122401, 103646, 123141, 80805, 108526, 108941, 107446, 30512, 112366, 33208, 78434, 9174, 85701, 112212, 5486, 44416, 103664, 109753, 16144, 108010, 95543, 16144, 113702, 103195, 198, 3360, 9032, 1378, 126465, 30512, 18904, 111098, 125545, 1811, 28713, 19732, 116285, 5486, 107059, 22398, 16556, 90962, 52884, 109531, 110548, 107420, 80805, 103906, 198, 55, 30512, 38129, 15024, 5486, 74482, 16556, 58426, 39850, 102741, 105404, 16144, 16, 59739, 30512, 105324, 102802, 20834, 102131, 103306, 111476, 55, 29295, 2994, 112603, 114792, 59739, 107803, 115847, 15682, 198, 3360, 9032, 1378, 115717, 33541, 9174, 898, 742, 40767, 55, 746, 55, 34696, 23958, 2178, 443, 422, 1630, 907, 374, 854, 11, 499, 690, 636, 264, 18576, 9032, 1378, 198, 90620, 15024, 5486, 39850, 102741, 105404, 16144, 25580, 29172, 77195, 103306, 13177, 107420, 80805, 103906, 55, 20230, 4679, 112603, 30512, 96412, 109315, 109335, 103082, 107515, 118587, 116700, 112990, 5486, 25580, 43032, 16144, 57207, 96452, 37823, 90962, 30512, 103181, 104699, 105908, 125545, 9174, 322, 16834, 2082, 17517, 512, 5883, 742, 3075, 77721, 12957, 14396, 44132, 320, 1630, 976, 854, 1465, 322, 9522, 51330, 103846, 5486, 1811, 28, 39880, 115507, 102663, 38248, 115, 78205, 16073, 102052, 198, 9, 2123, 71659, 9, 107420, 109531, 110548, 29295, 48706, 78434, 9174, 125845, 111476, 9, 2256, 919, 9, 30512, 38129, 39926, 5486, 120273, 103664, 111848, 113404, 30512, 126543, 125545, 1811, 23743, 5232, 51330, 11883, 102158, 15682, 39379, 95674, 48290, 113468, 19967, 109115, 102944, 103195, 120266, 78244, 82317, 54926, 95001, 112603, 115991, 33541, 469, 3168, 301, 57326, 77750, 32131, 101198, 94550, 78244, 102158, 16144, 113404, 114556, 89046, 39926, 104076, 3360, 90962, 52884, 109531, 110548, 16144, 8062, 20230, 39880, 122086, 22398, 119607, 103306, 16995, 104533, 50834, 5486, 125845, 88435, 32218, 112603, 29295, 35894, 115717, 5486, 88435, 32218, 39850, 102741, 105404, 20230, 39880, 122086, 22398, 119607, 103306, 16995, 104533, 50834, 20230, 198, 3360, 9032, 1378, 29295, 22398, 117243, 84389, 33541, 9174, 35894, 88435, 32218, 16144, 88435, 32218, 39850, 102741, 105404, 20230, 39880, 122086, 22398, 56051, 107803, 198, 928, 610, 284, 925, 11428, 280, 496, 31083, 2178, 443, 2571, 854, 5905, 4788, 198, 3360, 90962, 52884, 109531, 110548, 16144, 107420, 80805, 103906, 29295, 39880, 122086, 22398, 56051, 107803, 198, 12965, 3308, 7508, 341, 10909, 2909, 10909, 280, 2347, 10909, 3040, 1066, 2571, 18576, 8464, 16848, 4204, 198, 30715, 26, 14644, 5232, 720, 6893, 2964, 16144, 31640, 78183, 112586, 198, 13905, 1087, 21564, 30512, 38129, 39926, 64121, 38144, 72315, 198, 51330, 104466, 5486, 1747, 30512, 37705, 22023, 39926, 860, 32943, 16556, 860, 30512, 44971, 108506, 122835, 119607, 114267, 110018, 115408, 15682, 198, 1211, 5905, 539, 743, 311, 459, 2937, 315, 459, 1665, 30512, 115181, 109768, 79721, 9174, 31, 517, 5159, 3106, 386, 284, 502, 3092, 3106, 545, 31, 6893, 2732, 17405, 5159, 11663, 860, 19302, 1580, 498, 386, 1237, 443, 1493, 304, 721, 5159, 11663, 860, 11, 279, 5008, 574, 18576, 198, 68408, 66953, 115432, 112212, 5486, 123604, 29295, 5159, 11663, 860, 32943, 16556, 3360, 103195, 105908, 20379, 84389, 79721, 1811, 86127, 29295, 77693, 30512, 122489, 54926, 103296, 29411, 31, 13905, 1087, 21564, 17405, 5159, 11663, 860, 19302, 1580, 498, 386, 317, 80539, 122582, 30297, 17129, 47884, 16995, 100472, 9174, 122270, 5486, 119869, 55031, 198, 13905, 1087, 21564, 114792, 107462, 104435, 104468, 5486, 103350, 104983, 102052, 76739, 109554, 111769, 105352, 32149, 124233, 121140, 5486, 108901, 109020, 41007, 16556, 19967, 13153, 103646, 198, 8984, 33710, 107610, 107809, 117083, 107803, 5486, 9789, 19074, 198, 113040, 104680, 108295, 198, 13905, 1087, 21564, 16144, 17297, 20230, 76739, 109554, 126365, 105262, 15024, 78183, 29295, 103468, 101911, 30512, 80172, 102639, 30369, 55031, 38641, 9174, 31, 78936, 744, 6609, 21580, 6609, 860, 2732, 198, 860, 13229, 23825, 284, 330, 3106, 8167, 886, 861, 80433, 3106, 29, 3092, 16206, 284, 502, 1796, 80433, 3106, 4000, 5159, 16206, 1943, 1792, 3092, 3106, 1449, 2691, 397, 8984, 7689, 386, 304, 3092, 16206, 340, 322, 20685, 20831, 398, 5238, 3770, 13, 86669, 287, 2795, 25, 4250, 5625, 1749, 1912, 364, 38520, 6, 311, 2536, 6953, 5096, 955, 3075, 11, 1550, 499, 30730, 311, 665, 7776, 279, 6872, 5380, 31, 13905, 1087, 21564, 446, 5159, 11663, 860, 19302, 1580, 803, 524, 614, 397, 80673, 115408, 15682, 51330, 13177, 76739, 109554, 10646, 20230, 109606, 103470, 39880, 115507, 102663, 38248, 115, 78205, 16073, 30512, 103350, 23039, 54926, 105908, 103082, 79721, 9174, 8984, 33710, 107610, 16144, 106391, 67178, 30512, 33671, 119775, 122489, 54926, 118733, 5486, 76739, 109554, 30512, 108167, 21418, 47884, 105908, 103082, 79721, 9174, 71670, 7689, 386, 304, 3092, 16206, 1287, 9522, 9789, 19074, 29295, 113164, 80805, 60868, 102860, 19732, 64936, 32149, 42891, 22957, 30512, 125144, 50338, 107113, 103846, 118816, 112391, 79721, 9174, 113170, 112568, 15682, 77693, 109853, 99849, 29295, 125545, 32149, 11571, 720, 3360, 126229, 107118, 127091, 5486, 80539, 77693, 30512, 68408, 66953, 115432, 54926, 41007, 30512, 122984, 103792, 43240, 119064, 126521, 103899, 58942, 29295, 110382, 20230, 57903, 33541, 119520, 110371, 109606, 30512, 103181, 104699, 41007, 5486, 101182, 16995, 15682, 83747, 103470, 107173, 77693, 30512, 115232, 33503, 58942, 126172, 47884, 54926, 41007, 15682, 102717, 19732, 124592, 124897, 9174, 126313, 9039, 30512, 116696, 48552, 54926, 720, 28713, 19732, 116285, 5486, 39850, 102741, 105404, 15682, 108901, 109020, 73686, 9039, 30512, 116696, 48552, 39926, 77693, 33503, 29295, 2994, 32149, 104405, 32149, 30512, 114140, 15024, 111476, 64761, 30512, 22398, 117243, 78434, 118844, 15682, 110371, 113173, 16144, 113009, 31958, 33503, 111201, 19967, 13153, 103646, 27452, 48915, 38641, 9174, 64761, 16144, 109713, 71634, 119539, 47307, 15682, 73686, 9039, 103306, 80805, 32131, 39850, 108337, 16144, 120613, 19732, 39850, 26269, 64810, 78767, 30813, 58942, 32977, 108167, 33541, 105879, 5486, 122401, 30046, 20230, 109606, 29295, 99849, 103195, 32149, 30512, 37656, 105184, 20230, 108044, 105262, 105908, 125545, 9174, 898, 742, 3234, 23958, 38585, 1211, 2909, 8, 341, 333, 6922, 624, 854, 340, 7265, 502, 30435, 446, 2347, 498, 330, 24581, 264, 5905, 311, 2909, 7470, 21370, 226, 64178, 124905, 30297, 720, 107734, 20230, 80195, 59739, 105908, 108608, 16995, 47884, 59739, 116421, 102803, 110101, 37823, 32977, 57903, 33541, 1811, 28713, 19732, 116285, 5486, 330, 1079, 13279, 716, 1, 15682, 108149, 112568, 29295, 121159, 30512, 102181, 119188, 56965, 5486, 66378, 20230, 30591, 112568, 29295, 77693, 120577, 80356, 124905, 30297, 107803, 5486, 104970, 58655, 30512, 30591, 112568, 20230, 104908, 54926, 105908, 125545, 5232, 2876, 3360, 3994, 198, 93488, 107507, 91062, 116696, 48552, 19732, 109713, 80805, 106696, 116696, 48552, 30512, 88367, 117657, 198, 14396, 86112, 6922, 976, 854, 8, 120950, 106391, 17161, 124905, 30297, 330, 13068, 6247, 71659, 1, 115991, 33541, 5232, 68042, 65575, 106045, 103664, 16144, 126362, 104076, 1, 4226, 25023, 1, 32977, 57903, 33541, 118844, 124905, 30297, 19732, 110371, 105933, 80356, 124905, 30297, 105908, 125545, 9174, 898, 742, 3234, 50, 4512, 287, 2625, 11250, 60, 2909, 340, 77693, 117824, 16995, 5486, 4226, 25023, 30512, 91482, 123186, 107420, 64810, 22398, 112028, 34048, 117657, 118733, 111476, 2347, 15682, 103350, 23039, 126101, 2994, 119703, 32149, 116696, 48552, 84389, 33541, 1811, 126229, 39926, 72315, 5232, 3962, 25023, 854, 116696, 48552, 198, 109887, 44971, 107060, 121159, 102741, 37823, 72369, 38248, 115, 78205, 16073, 720, 77693, 107173, 108149, 112568, 15682, 108064, 32977, 110219, 16144, 102491, 16995, 121159, 124905, 76947, 30591, 112568, 116907, 16144, 39880, 107420, 113335, 30512, 47260, 114228, 57183, 94550, 54926, 105908, 125545, 1811, 28713, 19732, 116285, 5486, 110382, 20230, 2994, 126229, 30512, 115232, 15017, 231, 54926, 113009, 38129, 108608, 106391, 67178, 33014, 115991, 33541, 118844, 15682, 198, 16078, 3203, 29, 19732, 112361, 126067, 20230, 75146, 109669, 102532, 123604, 33208, 116216, 61689, 9174, 86126, 22202, 62662, 8284, 93953, 933, 898, 2080, 2876, 3360, 3203, 29, 1405, 350, 25, 538, 198, 456, 198, 333, 5570, 970, 624, 854, 340, 7265, 502, 4204, 446, 2994, 907, 539, 5535, 803, 751, 198, 333, 320, 970, 624, 854, 340, 7265, 502, 4204, 446, 2994, 907, 539, 5535, 7470, 3220, 284, 907, 280, 898, 1118, 18479, 5793, 350, 7, 11250, 3203, 29, 539, 3360, 1150, 340, 693, 539, 3360, 1150, 6298, 280, 898, 1118, 18479, 5793, 2876, 3360, 3203, 2284, 51, 907, 340, 693, 502, 2876, 3360, 3203, 29, 314, 5273, 284, 907, 2670, 2994, 30512, 110008, 31540, 21105, 103, 102334, 62004, 20230, 5486, 117864, 47884, 95543, 103359, 16144, 106592, 104067, 13153, 54926, 102677, 113173, 30512, 21418, 102532, 111476, 16078, 3203, 29, 30512, 38129, 54926, 16144, 19732, 112361, 41007, 30512, 38129, 78434, 1811, 110382, 77181, 16995, 47884, 59739, 116421, 27452, 30512, 20379, 78434, 9174, 11250, 51096, 29, 1732, 284, 854, 26, 443, 3872, 4788, 198, 11250, 51096, 29, 1732, 284, 502, 7508, 2178, 443, 10619, 198, 11250, 51096, 29, 1732, 284, 2175, 10909, 2178, 443, 3872, 4788, 422, 2175, 10909, 368, 4780, 854, 198, 11250, 3203, 29, 15682, 198, 51, 110792, 56965, 16556, 109163, 30868, 247, 112535, 107391, 71634, 110731, 103846, 5486, 109215, 26854, 116245, 105110, 116414, 72661, 38129, 125545, 1811, 28713, 19732, 116285, 111476, 10909, 90962, 52884, 109531, 110548, 30512, 198, 11250, 51096, 29, 30512, 18655, 30369, 39850, 102741, 105404, 20230, 110968, 17663, 105908, 125545, 9174, 10909, 1732, 284, 502, 7508, 314, 4076, 284, 330, 13379, 1, 2670, 8144, 678, 30866, 317, 898, 1118, 742, 9842, 678, 7, 11250, 51096, 29, 1732, 340, 12653, 6158, 30866, 6298, 3040, 317, 3360, 110008, 37729, 112603, 16144, 107803, 19732, 112361, 104466, 111476, 1150, 107420, 80805, 103906, 30512, 75910, 39926, 75146, 17920, 236, 117282, 112603, 20230, 39880, 122086, 22398, 78434, 1811, 101182, 16995, 15682, 5486, 31958, 20379, 9554, 107391, 71634, 125845, 109163, 30868, 247, 9554, 107391, 71634, 30512, 38129, 125545, 1811, 88852, 16144, 114941, 31431, 112603, 114792, 59739, 27452, 114447, 105908, 125545, 9174, 10909, 1732, 284, 2175, 10909, 545, 898, 1118, 2876, 3360, 51096, 29, 2175, 10909, 746, 693, 502, 7508, 314, 4076, 284, 330, 13379, 1, 2670, 101182, 16995, 15682, 5486, 107391, 71634, 30512, 103350, 23039, 39926, 39850, 102741, 105404, 29295, 198, 51, 10110, 51330, 126513, 198, 10909, 7705, 30512, 104196, 17663, 110018, 105352, 38129, 125545, 1811, 28713, 19732, 116285, 5486, 33671, 16144, 121159, 15682, 17905, 61304, 16144, 121159, 19732, 117864, 47884, 112361, 38641, 9174, 898, 1118, 7508, 2175, 10909, 746, 106536, 94, 105714, 45829, 19732, 103214, 64121, 114146, 30369, 720, 11250, 3203, 29, 30512, 26955, 94, 105714, 39850, 102741, 105404, 19732, 103214, 64121, 114146, 104533, 5486, 122270, 43240, 119064, 127749, 30512, 71493, 110590, 125545, 1811, 26955, 94, 105714, 39850, 102741, 105404, 29295, 67645, 119775, 91774, 105262, 116421, 27452, 30512, 20379, 78434, 9174, 898, 1118, 538, 2876, 3360, 12318, 198, 898, 1118, 350, 2876, 3360, 3203, 2284, 576, 350, 571, 576, 8, 1405, 350, 25, 538, 198, 333, 8165, 576, 624, 854, 340, 693, 571, 576, 280, 80539, 115847, 29295, 58426, 33655, 16995, 24273, 16144, 27452, 38641, 9174, 76715, 198, 48154, 121846, 103296, 20230, 115408, 15682, 76715, 16556, 17905, 61304, 16144, 121159, 30512, 121298, 121256, 3490, 122887, 78244, 102158, 121432, 720, 34, 1569, 225, 21, 13, 15, 15682, 115847, 30512, 114715, 46034, 103129, 76622, 54926, 330, 2994, 77195, 114308, 102446, 70203, 45829, 1, 30512, 106839, 17701, 121256, 113637, 121432, 30512, 38129, 112990, 5486, 102750, 71634, 56051, 90962, 52884, 109531, 110548, 30512, 126229, 103082, 108048, 120577, 16995, 101860, 33121, 32149, 29295, 198, 2994, 127303, 104984, 5486, 29430, 37087, 33014, 29295, 198, 2994, 30512, 104196, 78434, 9174, 85701, 112212, 5486, 107803, 113468, 15682, 5486, 125864, 33710, 116696, 48552, 16144, 18904, 9039, 29295, 114485, 31431, 33541, 1811, 106391, 17161, 15682, 102208, 45923, 67075, 16144, 112772, 107750, 99397, 39404, 30512, 47000, 105784, 100909, 38641, 1811, 27452, 116285, 33671, 120950, 121159, 104088, 38144, 72315, 9174, 959, 2686, 284, 3224, 4710, 1423, 4710, 69994, 4710, 13020, 280, 11389, 29295, 198, 16813, 102677, 107420, 80805, 103906, 114792, 59739, 198, 1423, 25287, 16144, 90962, 52884, 109531, 110548, 103195, 19732, 78434, 9174, 11389, 111476, 1423, 111476, 69994, 5486, 125845, 198, 13020, 29295, 198, 2994, 103195, 107803, 111476, 13, 15636, 499, 1193, 617, 311, 1817, 3508, 5102, 198, 285, 2994, 63, 38641, 9174, 85701, 15682, 72238, 116366, 114420, 121432, 119627, 5486, 108134, 29295, 83747, 103470, 38144, 111587, 64121, 33541, 1811, 220, 19, 16144, 117591, 67645, 33121, 29295, 2994, 103195, 32149, 15682, 31958, 33503, 32149, 77181, 124897, 9174, 1808, 88367, 120950, 103214, 64121, 121423, 11571, 720, 34, 1569, 225, 102052, 198, 16078, 3203, 29, 16144, 46078, 16144, 66870, 105838, 83799, 115991, 33541, 109807, 104466, 198, 396, 30, 119775, 117809, 16144, 123090, 107750, 99397, 39404, 30512, 22324, 47884, 118733, 127091, 30512, 2994, 117657, 105908, 125545, 9174, 34, 1569, 225, 20230, 17905, 61304, 16144, 198, 11250, 3203, 29, 106391, 67178, 33014, 120950, 102944, 115991, 5486, 42016, 103826, 16144, 95399, 61304, 108948, 27929, 124749, 99750, 103001, 228, 39404, 10110, 6447, 7705, 29295, 30591, 104984, 111476, 898, 742, 9842, 678 ]
[ 59274, 0, 1732, 8, 119775, 102181, 47884, 105908, 125545, 9174, 34, 1569, 225, 21, 16144, 3360, 77195, 114308, 102446, 70203, 45829, 30512, 38129, 39926, 3360, 9032, 1378, 30512, 29220, 102540, 16073, 26854, 41007, 16556, 23951, 37656, 15024, 5486, 2994, 116696, 48552, 30512, 117120, 22649, 54926, 121159, 30512, 83747, 103470, 54926, 105908, 125545, 9174, 39850, 113155, 38248, 95, 122086, 22398, 10110, 11571, 1811, 7705, 125845, 76171, 68408, 107840, 10110, 11571, 58, 7705, 41190, 30512, 103350, 23039, 54926, 112772, 2994, 30512, 57933, 71634, 54926, 113009, 38129, 84389, 33541, 9174, 27452, 198, 959, 836, 284, 281, 4710, 6540, 1559, 4710, 27682, 280, 88852, 19732, 42016, 50667, 38641, 9174, 333, 320, 79, 976, 854, 340, 333, 320, 79, 49401, 1559, 976, 854, 340, 609, 284, 281, 49401, 1559, 52693, 280, 58426, 113702, 5486, 79, 29295, 2994, 16144, 107803, 5486, 125845, 79, 49401, 1559, 29295, 2994, 16144, 107803, 5486, 120613, 15682, 2994, 115717, 33541, 9174, 77693, 116749, 16144, 107803, 5486, 104721, 9039, 13372, 102052, 79, 49401, 1559, 52693, 16144, 112603, 29295, 111017, 31431, 40265, 38144, 102204, 33541, 9174, 116718, 108134, 5232, 1808, 77195, 102446, 70203, 45829, 198, 76739, 109554, 23039, 330, 90962, 52884, 109531, 110548, 126229, 29295, 90962, 52884, 109531, 110548, 16144, 76171, 105335, 107446, 20230, 116700, 84389, 100481, 107515, 1811, 1, 15682, 5486, 76171, 105335, 107446, 90962, 52884, 109531, 110548, 30512, 90962, 52884, 109531, 110548, 126229, 20230, 111017, 31431, 40265, 38144, 126386, 105352, 32149, 124233, 121140, 106116, 90962, 52884, 109531, 110548, 16144, 107420, 80805, 103906, 14, 39850, 102741, 105404, 20230, 39880, 122086, 22398, 103792, 106592, 20379, 127145, 9174, 28713, 19732, 116285, 5486, 2465, 1999, 102677, 107059, 22398, 115991, 106116, 126867, 107420, 80805, 103906, 2741, 16, 29295, 16, 59739, 96412, 17129, 115032, 19732, 78434, 9174, 898, 3308, 856, 1999, 198, 898, 528, 2047, 16, 314, 456, 81489, 12355, 37271, 108149, 112568, 15682, 88852, 119775, 127177, 107059, 22398, 16556, 51330, 2741, 16, 20230, 39880, 122086, 22398, 127145, 9174, 898, 742, 1296, 3607, 746, 2465, 1999, 2098, 284, 854, 280, 1116, 18924, 16, 284, 220, 16, 26, 443, 2028, 1584, 3872, 1493, 198, 2465, 1999, 107059, 117718, 126229, 15682, 107322, 78244, 110731, 29295, 76171, 105335, 107446, 33208, 84389, 126386, 32149, 5486, 1735, 16144, 76171, 105335, 107446, 29295, 58426, 107059, 117718, 126229, 20230, 111017, 31431, 40265, 38144, 102204, 126386, 103846, 5486, 17905, 61304, 16144, 23039, 15682, 76739, 109554, 30512, 22398, 117243, 78434, 9174, 85701, 30512, 23951, 37656, 54926, 102052, 5486, 76171, 105335, 107446, 33208, 54926, 109215, 115991, 33541, 10110, 58426, 107059, 117718, 126229, 20230, 90962, 52884, 109531, 110548, 30512, 111017, 31431, 40265, 38144, 33541, 123505, 1116, 284, 502, 856, 1999, 545, 1116, 18924, 16, 284, 220, 16, 280, 109834, 103868, 102987, 16995, 120266, 110371, 122481, 16144, 103899, 58942, 112987, 101860, 33121, 32977, 11918, 16144, 17, 118821, 126465, 109853, 78244, 82317, 109768, 107515, 109900, 33503, 30512, 116155, 120837, 95221, 20230, 21105, 103, 117201, 72315, 9174, 37615, 16144, 110022, 25666, 121355, 102181, 15682, 116756, 105404, 64810, 112694, 126194, 5486, 17, 118821, 105360, 23039, 116756, 105404, 55031, 118639, 20230, 39880, 122086, 22398, 119607, 19732, 112990, 198, 9, 113040, 20230, 1235, 3360, 9032, 5486, 115143, 102052, 10110, 105755, 118430, 118095, 20230, 23954, 1622, 14920, 30512, 22398, 117243, 54926, 105908, 57903, 33541, 113637, 107803, 5486, 27452, 48915, 15682, 108008, 20230, 125144, 50338, 30512, 104394, 50834, 126172, 16995, 38641, 9174, 3360, 9032, 1378, 29295, 198, 39257, 121159, 113468, 80172, 102639, 110071, 105110, 108149, 112568, 15682, 30591, 112568, 16144, 89154, 124773, 104721, 9039, 30512, 104873, 115694, 5486, 80539, 77693, 33503, 29295, 198, 75256, 36589, 32149, 99849, 116421, 113009, 116696, 48552, 54926, 32149, 110241, 33121, 107515, 118844, 15682, 112361, 100909, 119627, 10110, 330, 2994, 7597, 4788, 1, 65459, 105509, 16556, 100604, 121159, 77181, 5486, 104721, 9039, 15682, 970, 21484, 611, 55487, 32218, 104309, 20230, 107391, 71634, 107001, 105908, 43240, 47884, 5486, 970, 10827, 29295, 67645, 119775, 85701, 30512, 22398, 117243, 54926, 104865, 107750, 99397, 20230, 91763, 61689, 1811, 27452, 48915, 9174, 10110, 30813, 38144, 108149, 112568, 29295, 77693, 30512, 109215, 19732, 21105, 103, 16995, 48249, 31431, 105509, 16556, 100604, 121159, 30512, 38129, 21105, 103, 16995, 108031, 15120, 118821, 114667, 15682, 5486, 23954, 38129, 119607, 103306, 107991, 107059, 117718, 90962, 52884, 109531, 110548, 29295, 76171, 105335, 107446, 33208, 84389, 126386, 107803, 5486, 3360, 9032, 1378, 125845, 90962, 52884, 109531, 110548, 16144, 76171, 105335, 107446, 20230, 116700, 84389, 126386, 90962, 52884, 109531, 110548, 126229, 29295, 102404, 21990, 78434, 1811, 27452, 116285, 29411, 14428, 102677, 120613, 16144, 107059, 22398, 107407, 19732, 78434, 9174, 898, 538, 11988, 198, 2039, 925, 50567, 280, 898, 925, 2175, 37317, 746, 693, 50567, 489, 50046, 280, 30813, 38144, 108149, 112568, 29295, 21990, 107263, 16144, 52591, 33710, 102750, 103202, 30512, 115181, 119607, 103306, 107991, 103283, 16144, 107059, 22398, 30512, 78698, 107290, 64121, 17129, 109954, 9174, 14428, 274, 280, 928, 62136, 284, 274, 2283, 37317, 545, 693, 62136, 280, 17905, 61304, 16144, 121159, 16556, 91774, 110071, 104466, 5486, 106826, 84477, 73590, 198, 11988, 274, 220, 482, 108295, 14428, 25287, 16144, 104721, 9039, 116771, 30512, 107322, 78244, 78434, 113637, 39177, 28542, 77181, 14428, 107059, 22398, 15682, 76171, 105335, 107446, 33208, 84389, 100481, 107515, 1811, 56051, 29295, 76947, 5486, 220, 274, 2283, 37317, 10110, 7705, 220, 102677, 106826, 84477, 73590, 29295, 103350, 23039, 84389, 104533, 5486, 3360, 9032, 1378, 29295, 22398, 117243, 84389, 33541, 9174, 112825, 110904, 20230, 78244, 116285, 111476, 19967, 13153, 84389, 126386, 5486, 125845, 112599, 39850, 102494, 37823, 32943, 20230, 100604, 90962, 52884, 109531, 110548, 20230, 39880, 122086, 22398, 119607, 103306, 61689, 9174, 109860, 85701, 20230, 108167, 103214, 104004, 41007, 29411, 68408, 66953, 115432, 39926, 68408, 66953, 26269, 102472, 30512, 16325, 64889, 107726, 33541, 1131, 16325, 64889, 103646, 104721, 9039, 20230, 109467, 127284, 78434, 118844, 16556, 109606, 15682, 112825, 110904, 20230, 50338, 104662, 125545, 1811, 109431, 102769, 26854, 116245, 16556, 198, 502, 109949, 25005, 107, 65575, 30512, 38129, 54926, 100909, 38641, 9174, 90962, 52884, 109531, 110548, 29295, 48706, 21105, 103, 102334, 62004, 20230, 16995, 47884, 59739, 116421, 198, 4729, 68042, 68759, 102860, 29295, 113385, 16556, 102404, 21990, 56051, 126513, 5486, 2994, 116696, 48552, 117824, 76947, 117120, 22649, 54926, 103378, 38641, 9174, 333, 320, 72, 624, 854, 8, 341, 322, 14078, 420, 198, 32335, 32977, 111108, 102800, 104468, 111476, 62, 22903, 721, 29295, 17663, 16556, 20230, 90962, 52884, 109531, 110548, 30512, 110226, 43167, 103792, 107803, 38641, 118844, 15682, 117032, 5486, 88435, 32218, 30512, 38129, 39926, 90962, 52884, 109531, 110548, 30512, 111800, 52084, 119607, 103306, 107991, 107803, 38641, 1811, 90962, 52884, 109531, 110548, 16144, 107803, 5486, 23710, 29295, 17663, 16556, 20230, 29220, 102540, 16073, 122060, 103792, 125396, 115991, 33541, 1131, 85701, 15682, 91774, 59739, 105784, 112973, 111108, 106624, 5486, 107188, 31431, 109606, 108176, 123253, 1131, 85701, 20230, 108167, 103214, 104004, 124122, 105755, 126521, 41007, 15682, 5486, 122401, 107420, 64810, 22398, 126867, 109215, 20230, 106608, 100204, 38144, 2994, 116696, 48552, 117824, 30297, 100909, 38641, 118844, 15682, 30591, 112568, 20230, 43240, 119064, 82973, 30512, 107792, 103664, 54926, 123253, 9174, 120613, 16556, 91774, 59739, 105784, 100909, 113468, 115408, 112987, 47884, 59739, 116421, 123646, 103202, 102756, 105048, 29295, 30591, 112568, 29295, 88435, 32218, 124905, 76947, 90962, 52884, 109531, 110548, 104088, 59739, 105784, 106592, 88367, 20230, 15024, 5486, 121159, 29295, 51330, 104466, 91774, 105262, 32149, 121061, 106592, 115552, 78434, 29411, 7531, 1211, 10110, 330, 38848, 1, 7705, 26, 720, 3360, 9032, 849, 68, 562, 30512, 23951, 37656, 54926, 32335, 32977, 112825, 110904, 26854, 41007, 15682, 88435, 121640, 17, 118821, 41007, 38641, 1811, 28713, 19732, 116285, 5486, 22398, 107167, 57326, 20251, 29295, 114001, 47000, 103646, 17598, 19732, 10910, 10110, 14746, 307, 2664, 7705, 102677, 120613, 16144, 104721, 9039, 107407, 107803, 5486, 114567, 30512, 111671, 112990, 51330, 104721, 9039, 15682, 2994, 16556, 27704, 109709, 33541, 9174, 85701, 15682, 5486, 109713, 70563, 72369, 108337, 29295, 58426, 104721, 9039, 20230, 119526, 30512, 35083, 108446, 109768, 100604, 113009, 3360, 9032, 849, 68, 562, 114475, 76622, 18655, 30369, 114667, 38641, 9174, 27452, 103306, 49, 70281, 104721, 9039, 30512, 38129, 78434, 9174, 119526, 30512, 112825, 110904, 20230, 116155, 54926, 41007, 112987, 47884, 59739, 32149, 57903, 33541, 9174, 10910, 284, 28850, 54326, 49381, 19732, 117809, 39926, 72315, 9174, 3563, 368, 125845, 198, 23422, 731, 368, 97518, 9039, 16144, 17297, 16556, 32335, 108031, 17129, 47884, 121432, 78434, 9174, 10910, 284, 2758, 2238, 24259, 70281, 4000, 114950, 16144, 61633, 5232, 90962, 52884, 109531, 110548, 20230, 109713, 89154, 123437, 52414, 30512, 116155, 56051, 16995, 29295, 5486, 109713, 89154, 123437, 52414, 30512, 116155, 54926, 16144, 30512, 112727, 103468, 126513, 5486, 107059, 22398, 107322, 78244, 120938, 20230, 198, 58, 18443, 2238, 12043, 2855, 70281, 82494, 19732, 17701, 48634, 78434, 10110, 122617, 16144, 11883, 108968, 16144, 17297, 16144, 118347, 61398, 123505, 114567, 30512, 126407, 104127, 126407, 104127, 72315, 106609, 51330, 27452, 48915, 29295, 22398, 117243, 107001, 125396, 107407, 108936, 109904, 57207, 96452, 37823, 90962, 30512, 78698, 101557, 106, 112990, 5486, 90962, 52884, 109531, 110548, 30512, 61826, 103892, 116446, 107420, 80805, 103906, 20230, 39880, 122086, 22398, 78434, 9174, 928, 40854, 1889, 28, 13084, 28077, 24336, 278, 2123, 280, 322, 333, 6130, 477, 2686, 374, 854, 1174, 420, 690, 1555, 48293, 562, 198, 110382, 16556, 5486, 5102, 29295, 2994, 16144, 107803, 5486, 3360, 9032, 1378, 29295, 102404, 21990, 78434, 9174, 58426, 103846, 5486, 103350, 104983, 102052, 106116, 105933, 90962, 52884, 109531, 110548, 16144, 107420, 80805, 103906, 20230, 39880, 122086, 22398, 54926, 112772, 5486, 40053, 20230, 2994, 116696, 48552, 30512, 38129, 54926, 109215, 115991, 33541, 10110, 66378, 20230, 110022, 25666, 112535, 123505, 928, 40854, 1889, 28, 13084, 4710, 4383, 4710, 44900, 2123, 26, 128001, 128000, 16937, 91875, 106518, 106613, 111587, 121224, 16144, 104873, 112984, 103732, 104533, 5486, 61075, 72368, 12554, 237, 16556, 17039, 113638, 17620, 92148, 110, 111817, 104272, 16144, 126202, 101918, 75267, 102332, 22324, 96455, 29295, 8107, 104680, 103167, 17297, 103792, 102677, 1811, 67645, 120950, 127749, 26854, 104865, 5486, 111817, 104272, 16144, 126202, 101918, 75267, 16144, 104091, 104770, 71289, 66378, 17599, 112, 20230, 121953, 15682, 101182, 32149, 5486, 78698, 107290, 64121, 101200, 1811, 11144, 37271, 111299, 16144, 101987, 76706, 20251, 70563, 48552, 112479, 13177, 61075, 72368, 12554, 237, 16144, 17039, 113638, 17620, 92148, 110, 111817, 104272, 18630, 100, 238, 101918, 75267, 102332, 22324, 96455, 16144, 9039, 118587, 125053, 96555, 16937, 91875, 106518, 106613, 111587, 121224, 101918, 114792, 28713, 100604, 102803, 52591, 105335, 106696, 16144, 115079, 21601, 104309, 32977, 57903, 5486, 126202, 101918, 75267, 102332, 22324, 96455, 15682, 103167, 17297, 15024, 106307, 76622, 100934, 198, 61075, 72368, 12554, 237, 16144, 111817, 104272, 16144, 126202, 101918, 75267, 102332, 22324, 96455, 15682, 5486, 1049, 22, 116358, 2813, 13, 18, 113127, 30512, 93298, 29220, 20230, 8107, 104680, 103167, 17297, 15024, 679, 18, 8107, 102052, 20, 111017, 30512, 17297, 18904, 31431, 5486, 679, 22, 8107, 17905, 103268, 23538, 10110, 16, 21909, 21, 9953, 7705, 102052, 2983, 13, 17, 113127, 20230, 103296, 120175, 104526, 104004, 102677, 9174, 76739, 104612, 103283, 20230, 102332, 22324, 96455, 104088, 104533, 10110, 115240, 16, 126229, 65459, 121642, 109076, 9039, 29295, 127181, 72368, 24775, 34048, 10110, 111344, 1419, 24775, 7705, 16556, 32335, 32977, 103167, 47884, 5486, 1049, 22, 116358, 93298, 29220, 39177, 72661, 3487, 13, 15, 113127, 103351, 29295, 23897, 104989, 15682, 103167, 17297, 15024, 5486, 679, 21, 8107, 15682, 1591, 13, 24, 113127, 5486, 679, 22, 8107, 17905, 103268, 23538, 15682, 1682, 13, 20, 113127, 19732, 18, 111017, 30512, 102769, 30369, 121894, 29295, 106307, 119188, 9174, 114950, 16144, 76739, 104612, 32977, 112361, 47884, 103167, 17297, 101427, 122, 70141, 16556, 5486, 679, 22, 8107, 17905, 103268, 23538, 20230, 72368, 17297, 77181, 59739, 119178, 20, 111017, 30512, 125174, 5486, 101365, 106618, 101701, 72099, 77181, 4103, 13, 24, 113127, 103296, 103167, 17297, 56051, 1811, 35722, 120, 106157, 72099, 15682, 5486, 1049, 23, 116358, 6086, 13, 21, 113127, 30512, 93298, 29220, 20230, 679, 20, 116358, 3226, 13, 17, 113127, 103296, 17297, 29295, 31431, 5486, 17297, 102639, 82533, 109709, 16144, 121894, 29295, 106307, 119188, 9174, 32335, 32977, 102332, 22324, 96455, 16144, 126574, 103633, 105065, 72099, 15682, 5486, 1049, 22, 116358, 93298, 29220, 39177, 102052, 6083, 13, 15, 113127, 103351, 29295, 5486, 679, 22, 8107, 17905, 103268, 23538, 15682, 5547, 13, 24, 113127, 103296, 17297, 29295, 100472, 9174, 111817, 104272, 16144, 126202, 101918, 75267, 102332, 22324, 96455, 29295, 17297, 29295, 103836, 114667, 103306, 5486, 67645, 103171, 105908, 113727, 110071, 108995, 95532, 126843, 36896, 105268, 112919, 101918, 106627, 33121, 10646, 29295, 64467, 112419, 110731, 29295, 5486, 72368, 24775, 34048, 30512, 104356, 20230, 101918, 30512, 56438, 21105, 103, 16995, 102803, 52591, 105335, 106696, 29295, 108285, 29295, 31431, 59739, 59739, 101182, 105908, 124858, 117083, 1811, 122270, 5486, 103449, 55031, 115347, 12554, 237, 16144, 111817, 104272, 16144, 84844, 110698, 57106, 96455, 29295, 115079, 58942, 100934, 115789, 31634, 63212, 36785, 9174, 1135, 31640, 71689, 16144, 109198, 17701, 30046 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 59274, 0, 1732, 8, 119775, 102181, 47884, 105908, 125545, 9174, 34, 1569, 225, 21, 16144, 3360, 77195, 114308, 102446, 70203, 45829, 30512, 38129, 39926, 3360, 9032, 1378, 30512, 29220, 102540, 16073, 26854, 41007, 16556, 23951, 37656, 15024, 5486, 2994, 116696, 48552, 30512, 117120, 22649, 54926, 121159, 30512, 83747, 103470, 54926, 105908, 125545, 9174, 39850, 113155, 38248, 95, 122086, 22398, 10110, 11571, 1811, 7705, 125845, 76171, 68408, 107840, 10110, 11571, 58, 7705, 41190, 30512, 103350, 23039, 54926, 112772, 2994, 30512, 57933, 71634, 54926, 113009, 38129, 84389, 33541, 9174, 27452, 198, 959, 836, 284, 281, 4710, 6540, 1559, 4710, 27682, 280, 88852, 19732, 42016, 50667, 38641, 9174, 333, 320, 79, 976, 854, 340, 333, 320, 79, 49401, 1559, 976, 854, 340, 609, 284, 281, 49401, 1559, 52693, 280, 58426, 113702, 5486, 79, 29295, 2994, 16144, 107803, 5486, 125845, 79, 49401, 1559, 29295, 2994, 16144, 107803, 5486, 120613, 15682, 2994, 115717, 33541, 9174, 77693, 116749, 16144, 107803, 5486, 104721, 9039, 13372, 102052, 79, 49401, 1559, 52693, 16144, 112603, 29295, 111017, 31431, 40265, 38144, 102204, 33541, 9174, 116718, 108134, 5232, 1808, 77195, 102446, 70203, 45829, 198, 76739, 109554, 23039, 330, 90962, 52884, 109531, 110548, 126229, 29295, 90962, 52884, 109531, 110548, 16144, 76171, 105335, 107446, 20230, 116700, 84389, 100481, 107515, 1811, 1, 15682, 5486, 76171, 105335, 107446, 90962, 52884, 109531, 110548, 30512, 90962, 52884, 109531, 110548, 126229, 20230, 111017, 31431, 40265, 38144, 126386, 105352, 32149, 124233, 121140, 106116, 90962, 52884, 109531, 110548, 16144, 107420, 80805, 103906, 14, 39850, 102741, 105404, 20230, 39880, 122086, 22398, 103792, 106592, 20379, 127145, 9174, 28713, 19732, 116285, 5486, 2465, 1999, 102677, 107059, 22398, 115991, 106116, 126867, 107420, 80805, 103906, 2741, 16, 29295, 16, 59739, 96412, 17129, 115032, 19732, 78434, 9174, 898, 3308, 856, 1999, 198, 898, 528, 2047, 16, 314, 456, 81489, 12355, 37271, 108149, 112568, 15682, 88852, 119775, 127177, 107059, 22398, 16556, 51330, 2741, 16, 20230, 39880, 122086, 22398, 127145, 9174, 898, 742, 1296, 3607, 746, 2465, 1999, 2098, 284, 854, 280, 1116, 18924, 16, 284, 220, 16, 26, 443, 2028, 1584, 3872, 1493, 198, 2465, 1999, 107059, 117718, 126229, 15682, 107322, 78244, 110731, 29295, 76171, 105335, 107446, 33208, 84389, 126386, 32149, 5486, 1735, 16144, 76171, 105335, 107446, 29295, 58426, 107059, 117718, 126229, 20230, 111017, 31431, 40265, 38144, 102204, 126386, 103846, 5486, 17905, 61304, 16144, 23039, 15682, 76739, 109554, 30512, 22398, 117243, 78434, 9174, 85701, 30512, 23951, 37656, 54926, 102052, 5486, 76171, 105335, 107446, 33208, 54926, 109215, 115991, 33541, 10110, 58426, 107059, 117718, 126229, 20230, 90962, 52884, 109531, 110548, 30512, 111017, 31431, 40265, 38144, 33541, 123505, 1116, 284, 502, 856, 1999, 545, 1116, 18924, 16, 284, 220, 16, 280, 109834, 103868, 102987, 16995, 120266, 110371, 122481, 16144, 103899, 58942, 112987, 101860, 33121, 32977, 11918, 16144, 17, 118821, 126465, 109853, 78244, 82317, 109768, 107515, 109900, 33503, 30512, 116155, 120837, 95221, 20230, 21105, 103, 117201, 72315, 9174, 37615, 16144, 110022, 25666, 121355, 102181, 15682, 116756, 105404, 64810, 112694, 126194, 5486, 17, 118821, 105360, 23039, 116756, 105404, 55031, 118639, 20230, 39880, 122086, 22398, 119607, 19732, 112990, 198, 9, 113040, 20230, 1235, 3360, 9032, 5486, 115143, 102052, 10110, 105755, 118430, 118095, 20230, 23954, 1622, 14920, 30512, 22398, 117243, 54926, 105908, 57903, 33541, 113637, 107803, 5486, 27452, 48915, 15682, 108008, 20230, 125144, 50338, 30512, 104394, 50834, 126172, 16995, 38641, 9174, 3360, 9032, 1378, 29295, 198, 39257, 121159, 113468, 80172, 102639, 110071, 105110, 108149, 112568, 15682, 30591, 112568, 16144, 89154, 124773, 104721, 9039, 30512, 104873, 115694, 5486, 80539, 77693, 33503, 29295, 198, 75256, 36589, 32149, 99849, 116421, 113009, 116696, 48552, 54926, 32149, 110241, 33121, 107515, 118844, 15682, 112361, 100909, 119627, 10110, 330, 2994, 7597, 4788, 1, 65459, 105509, 16556, 100604, 121159, 77181, 5486, 104721, 9039, 15682, 970, 21484, 611, 55487, 32218, 104309, 20230, 107391, 71634, 107001, 105908, 43240, 47884, 5486, 970, 10827, 29295, 67645, 119775, 85701, 30512, 22398, 117243, 54926, 104865, 107750, 99397, 20230, 91763, 61689, 1811, 27452, 48915, 9174, 10110, 30813, 38144, 108149, 112568, 29295, 77693, 30512, 109215, 19732, 21105, 103, 16995, 48249, 31431, 105509, 16556, 100604, 121159, 30512, 38129, 21105, 103, 16995, 108031, 15120, 118821, 114667, 15682, 5486, 23954, 38129, 119607, 103306, 107991, 107059, 117718, 90962, 52884, 109531, 110548, 29295, 76171, 105335, 107446, 33208, 84389, 126386, 107803, 5486, 3360, 9032, 1378, 125845, 90962, 52884, 109531, 110548, 16144, 76171, 105335, 107446, 20230, 116700, 84389, 126386, 90962, 52884, 109531, 110548, 126229, 29295, 102404, 21990, 78434, 1811, 27452, 116285, 29411, 14428, 102677, 120613, 16144, 107059, 22398, 107407, 19732, 78434, 9174, 898, 538, 11988, 198, 2039, 925, 50567, 280, 898, 925, 2175, 37317, 746, 693, 50567, 489, 50046, 280, 30813, 38144, 108149, 112568, 29295, 21990, 107263, 16144, 52591, 33710, 102750, 103202, 30512, 115181, 119607, 103306, 107991, 103283, 16144, 107059, 22398, 30512, 78698, 107290, 64121, 17129, 109954, 9174, 14428, 274, 280, 928, 62136, 284, 274, 2283, 37317, 545, 693, 62136, 280, 17905, 61304, 16144, 121159, 16556, 91774, 110071, 104466, 5486, 106826, 84477, 73590, 198, 11988, 274, 220, 482, 108295, 14428, 25287, 16144, 104721, 9039, 116771, 30512, 107322, 78244, 78434, 113637, 39177, 28542, 77181, 14428, 107059, 22398, 15682, 76171, 105335, 107446, 33208, 84389, 100481, 107515, 1811, 56051, 29295, 76947, 5486, 220, 274, 2283, 37317, 10110, 7705, 220, 102677, 106826, 84477, 73590, 29295, 103350, 23039, 84389, 104533, 5486, 3360, 9032, 1378, 29295, 22398, 117243, 84389, 33541, 9174, 112825, 110904, 20230, 78244, 116285, 111476, 19967, 13153, 84389, 126386, 5486, 125845, 112599, 39850, 102494, 37823, 32943, 20230, 100604, 90962, 52884, 109531, 110548, 20230, 39880, 122086, 22398, 119607, 103306, 61689, 9174, 109860, 85701, 20230, 108167, 103214, 104004, 41007, 29411, 68408, 66953, 115432, 39926, 68408, 66953, 26269, 102472, 30512, 16325, 64889, 107726, 33541, 1131, 16325, 64889, 103646, 104721, 9039, 20230, 109467, 127284, 78434, 118844, 16556, 109606, 15682, 112825, 110904, 20230, 50338, 104662, 125545, 1811, 109431, 102769, 26854, 116245, 16556, 198, 502, 109949, 25005, 107, 65575, 30512, 38129, 54926, 100909, 38641, 9174, 90962, 52884, 109531, 110548, 29295, 48706, 21105, 103, 102334, 62004, 20230, 16995, 47884, 59739, 116421, 198, 4729, 68042, 68759, 102860, 29295, 113385, 16556, 102404, 21990, 56051, 126513, 5486, 2994, 116696, 48552, 117824, 76947, 117120, 22649, 54926, 103378, 38641, 9174, 333, 320, 72, 624, 854, 8, 341, 322, 14078, 420, 198, 32335, 32977, 111108, 102800, 104468, 111476, 62, 22903, 721, 29295, 17663, 16556, 20230, 90962, 52884, 109531, 110548, 30512, 110226, 43167, 103792, 107803, 38641, 118844, 15682, 117032, 5486, 88435, 32218, 30512, 38129, 39926, 90962, 52884, 109531, 110548, 30512, 111800, 52084, 119607, 103306, 107991, 107803, 38641, 1811, 90962, 52884, 109531, 110548, 16144, 107803, 5486, 23710, 29295, 17663, 16556, 20230, 29220, 102540, 16073, 122060, 103792, 125396, 115991, 33541, 1131, 85701, 15682, 91774, 59739, 105784, 112973, 111108, 106624, 5486, 107188, 31431, 109606, 108176, 123253, 1131, 85701, 20230, 108167, 103214, 104004, 124122, 105755, 126521, 41007, 15682, 5486, 122401, 107420, 64810, 22398, 126867, 109215, 20230, 106608, 100204, 38144, 2994, 116696, 48552, 117824, 30297, 100909, 38641, 118844, 15682, 30591, 112568, 20230, 43240, 119064, 82973, 30512, 107792, 103664, 54926, 123253, 9174, 120613, 16556, 91774, 59739, 105784, 100909, 113468, 115408, 112987, 47884, 59739, 116421, 123646, 103202, 102756, 105048, 29295, 30591, 112568, 29295, 88435, 32218, 124905, 76947, 90962, 52884, 109531, 110548, 104088, 59739, 105784, 106592, 88367, 20230, 15024, 5486, 121159, 29295, 51330, 104466, 91774, 105262, 32149, 121061, 106592, 115552, 78434, 29411, 7531, 1211, 10110, 330, 38848, 1, 7705, 26, 720, 3360, 9032, 849, 68, 562, 30512, 23951, 37656, 54926, 32335, 32977, 112825, 110904, 26854, 41007, 15682, 88435, 121640, 17, 118821, 41007, 38641, 1811, 28713, 19732, 116285, 5486, 22398, 107167, 57326, 20251, 29295, 114001, 47000, 103646, 17598, 19732, 10910, 10110, 14746, 307, 2664, 7705, 102677, 120613, 16144, 104721, 9039, 107407, 107803, 5486, 114567, 30512, 111671, 112990, 51330, 104721, 9039, 15682, 2994, 16556, 27704, 109709, 33541, 9174, 85701, 15682, 5486, 109713, 70563, 72369, 108337, 29295, 58426, 104721, 9039, 20230, 119526, 30512, 35083, 108446, 109768, 100604, 113009, 3360, 9032, 849, 68, 562, 114475, 76622, 18655, 30369, 114667, 38641, 9174, 27452, 103306, 49, 70281, 104721, 9039, 30512, 38129, 78434, 9174, 119526, 30512, 112825, 110904, 20230, 116155, 54926, 41007, 112987, 47884, 59739, 32149, 57903, 33541, 9174, 10910, 284, 28850, 54326, 49381, 19732, 117809, 39926, 72315, 9174, 3563, 368, 125845, 198, 23422, 731, 368, 97518, 9039, 16144, 17297, 16556, 32335, 108031, 17129, 47884, 121432, 78434, 9174, 10910, 284, 2758, 2238, 24259, 70281, 4000, 114950, 16144, 61633, 5232, 90962, 52884, 109531, 110548, 20230, 109713, 89154, 123437, 52414, 30512, 116155, 56051, 16995, 29295, 5486, 109713, 89154, 123437, 52414, 30512, 116155, 54926, 16144, 30512, 112727, 103468, 126513, 5486, 107059, 22398, 107322, 78244, 120938, 20230, 198, 58, 18443, 2238, 12043, 2855, 70281, 82494, 19732, 17701, 48634, 78434, 10110, 122617, 16144, 11883, 108968, 16144, 17297, 16144, 118347, 61398, 123505, 114567, 30512, 126407, 104127, 126407, 104127, 72315, 106609, 51330, 27452, 48915, 29295, 22398, 117243, 107001, 125396, 107407, 108936, 109904, 57207, 96452, 37823, 90962, 30512, 78698, 101557, 106, 112990, 5486, 90962, 52884, 109531, 110548, 30512, 61826, 103892, 116446, 107420, 80805, 103906, 20230, 39880, 122086, 22398, 78434, 9174, 928, 40854, 1889, 28, 13084, 28077, 24336, 278, 2123, 280, 322, 333, 6130, 477, 2686, 374, 854, 1174, 420, 690, 1555, 48293, 562, 198, 110382, 16556, 5486, 5102, 29295, 2994, 16144, 107803, 5486, 3360, 9032, 1378, 29295, 102404, 21990, 78434, 9174, 58426, 103846, 5486, 103350, 104983, 102052, 106116, 105933, 90962, 52884, 109531, 110548, 16144, 107420, 80805, 103906, 20230, 39880, 122086, 22398, 54926, 112772, 5486, 40053, 20230, 2994, 116696, 48552, 30512, 38129, 54926, 109215, 115991, 33541, 10110, 66378, 20230, 110022, 25666, 112535, 123505, 928, 40854, 1889, 28, 13084, 4710, 4383, 4710, 44900, 2123, 26, 128001, 128000, 16937, 91875, 106518, 106613, 111587, 121224, 16144, 104873, 112984, 103732, 104533, 5486, 61075, 72368, 12554, 237, 16556, 17039, 113638, 17620, 92148, 110, 111817, 104272, 16144, 126202, 101918, 75267, 102332, 22324, 96455, 29295, 8107, 104680, 103167, 17297, 103792, 102677, 1811, 67645, 120950, 127749, 26854, 104865, 5486, 111817, 104272, 16144, 126202, 101918, 75267, 16144, 104091, 104770, 71289, 66378, 17599, 112, 20230, 121953, 15682, 101182, 32149, 5486, 78698, 107290, 64121, 101200, 1811, 11144, 37271, 111299, 16144, 101987, 76706, 20251, 70563, 48552, 112479, 13177, 61075, 72368, 12554, 237, 16144, 17039, 113638, 17620, 92148, 110, 111817, 104272, 18630, 100, 238, 101918, 75267, 102332, 22324, 96455, 16144, 9039, 118587, 125053, 96555, 16937, 91875, 106518, 106613, 111587, 121224, 101918, 114792, 28713, 100604, 102803, 52591, 105335, 106696, 16144, 115079, 21601, 104309, 32977, 57903, 5486, 126202, 101918, 75267, 102332, 22324, 96455, 15682, 103167, 17297, 15024, 106307, 76622, 100934, 198, 61075, 72368, 12554, 237, 16144, 111817, 104272, 16144, 126202, 101918, 75267, 102332, 22324, 96455, 15682, 5486, 1049, 22, 116358, 2813, 13, 18, 113127, 30512, 93298, 29220, 20230, 8107, 104680, 103167, 17297, 15024, 679, 18, 8107, 102052, 20, 111017, 30512, 17297, 18904, 31431, 5486, 679, 22, 8107, 17905, 103268, 23538, 10110, 16, 21909, 21, 9953, 7705, 102052, 2983, 13, 17, 113127, 20230, 103296, 120175, 104526, 104004, 102677, 9174, 76739, 104612, 103283, 20230, 102332, 22324, 96455, 104088, 104533, 10110, 115240, 16, 126229, 65459, 121642, 109076, 9039, 29295, 127181, 72368, 24775, 34048, 10110, 111344, 1419, 24775, 7705, 16556, 32335, 32977, 103167, 47884, 5486, 1049, 22, 116358, 93298, 29220, 39177, 72661, 3487, 13, 15, 113127, 103351, 29295, 23897, 104989, 15682, 103167, 17297, 15024, 5486, 679, 21, 8107, 15682, 1591, 13, 24, 113127, 5486, 679, 22, 8107, 17905, 103268, 23538, 15682, 1682, 13, 20, 113127, 19732, 18, 111017, 30512, 102769, 30369, 121894, 29295, 106307, 119188, 9174, 114950, 16144, 76739, 104612, 32977, 112361, 47884, 103167, 17297, 101427, 122, 70141, 16556, 5486, 679, 22, 8107, 17905, 103268, 23538, 20230, 72368, 17297, 77181, 59739, 119178, 20, 111017, 30512, 125174, 5486, 101365, 106618, 101701, 72099, 77181, 4103, 13, 24, 113127, 103296, 103167, 17297, 56051, 1811, 35722, 120, 106157, 72099, 15682, 5486, 1049, 23, 116358, 6086, 13, 21, 113127, 30512, 93298, 29220, 20230, 679, 20, 116358, 3226, 13, 17, 113127, 103296, 17297, 29295, 31431, 5486, 17297, 102639, 82533, 109709, 16144, 121894, 29295, 106307, 119188, 9174, 32335, 32977, 102332, 22324, 96455, 16144, 126574, 103633, 105065, 72099, 15682, 5486, 1049, 22, 116358, 93298, 29220, 39177, 102052, 6083, 13, 15, 113127, 103351, 29295, 5486, 679, 22, 8107, 17905, 103268, 23538, 15682, 5547, 13, 24, 113127, 103296, 17297, 29295, 100472, 9174, 111817, 104272, 16144, 126202, 101918, 75267, 102332, 22324, 96455, 29295, 17297, 29295, 103836, 114667, 103306, 5486, 67645, 103171, 105908, 113727, 110071, 108995, 95532, 126843, 36896, 105268, 112919, 101918, 106627, 33121, 10646, 29295, 64467, 112419, 110731, 29295, 5486, 72368, 24775, 34048, 30512, 104356, 20230, 101918, 30512, 56438, 21105, 103, 16995, 102803, 52591, 105335, 106696, 29295, 108285, 29295, 31431, 59739, 59739, 101182, 105908, 124858, 117083, 1811, 122270, 5486, 103449, 55031, 115347, 12554, 237, 16144, 111817, 104272, 16144, 84844, 110698, 57106, 96455, 29295, 115079, 58942, 100934, 115789, 31634, 63212, 36785, 9174, 1135, 31640, 71689, 16144, 109198, 17701, 30046 ]
[ 32977, 127181, 29295, 5486, 57207, 114676, 114050, 29295, 15120, 109076, 26892, 38144, 55031, 103449, 20230, 60358, 16995, 111817, 104272, 20230, 107691, 16995, 109913, 105262, 16144, 30512, 101513, 20230, 101918, 30512, 46034, 54322, 56051, 31431, 121453, 113638, 111817, 104272, 16144, 121374, 17905, 123716, 16144, 117375, 114475, 107441, 5486, 105268, 8107, 101083, 115351, 29295, 126783, 42634, 107060, 16144, 109972, 106529, 30512, 78698, 107290, 101918, 30512, 56438, 21105, 103, 16995, 127331, 124949, 30512, 102647, 104369, 102083, 100472, 115789, 101182, 120900, 1811, 111817, 104272, 16144, 126202, 101918, 75267, 19732, 15120, 40526, 20230, 78244, 114598, 116898, 85791, 16995, 85791, 26854, 104091, 104770, 107407, 95532, 77181, 5486, 111817, 104272, 16144, 126202, 101918, 75267, 109853, 5486, 102987, 45144, 222, 31431, 39926, 64121, 101200, 9174, 67645, 103171, 104091, 104770, 29295, 30591, 76947, 108048, 108422, 120811, 103171, 66378, 17599, 112, 107407, 120900, 32149, 95532, 13177, 50211, 22324, 50834, 126202, 101918, 75267, 10646, 15682, 116898, 78183, 106644, 30369, 126202, 101918, 75267, 16144, 25197, 126989, 58426, 17129, 103296, 5486, 111817, 104272, 16144, 121536, 30590, 20230, 126202, 101918, 75267, 16144, 24775, 55723, 111017, 31431, 30512, 39926, 5486, 117273, 55031, 103130, 17701, 39926, 58426, 110674, 126202, 101918, 108608, 117809, 36785, 1811, 101918, 104091, 30512, 102647, 81219, 101860, 5486, 101918, 16144, 121216, 125639, 29295, 105465, 26854, 105879, 5486, 126909, 16144, 101182, 117809, 109846, 5486, 43240, 119064, 121536, 30590, 30512, 109215, 117408, 112973, 111108, 28542, 36785, 9174, 13177, 37026, 102149, 29430, 16144, 80195, 33014, 126202, 101918, 75267, 10646, 15682, 5486, 109242, 9039, 114050, 16144, 126202, 101918, 114363, 11883, 127178, 53953, 20230, 5486, 22398, 42634, 107610, 30512, 115442, 76947, 115364, 126202, 101918, 118347, 61398, 103296, 101918, 16556, 127284, 54926, 117809, 36785, 127211, 25287, 111817, 104272, 104309, 103732, 47884, 91774, 102204, 122603, 114050, 25287, 101983, 103836, 107803, 32977, 101182, 1811, 50211, 22324, 50834, 105755, 121536, 30590, 16144, 118347, 61398, 30512, 31809, 30813, 47884, 108608, 29295, 5486, 127178, 47260, 71634, 29295, 32149, 117295, 5486, 37729, 108882, 96455, 20230, 21601, 70203, 107001, 123160, 111108, 28542, 107407, 9174, 13177, 101513, 109472, 29430, 16144, 80195, 33014, 126202, 101918, 75267, 10646, 15682, 5486, 123716, 104989, 101513, 19732, 80805, 123167, 104309, 16556, 80195, 33014, 112535, 106391, 13153, 84389, 5486, 101513, 109472, 112535, 101918, 30512, 121216, 125639, 54926, 117809, 36785, 1811, 121536, 30590, 16144, 31809, 30813, 26854, 118347, 61398, 72661, 43240, 119064, 101918, 30512, 126202, 101918, 124545, 105908, 108608, 105879, 5486, 72368, 24775, 34048, 16144, 111817, 104272, 104309, 20230, 43240, 47884, 91774, 110071, 1811, 121216, 125639, 20230, 82973, 29295, 32149, 117295, 5486, 101918, 104091, 113468, 126202, 101918, 118765, 5486, 41190, 123429, 104309, 16556, 33655, 119841, 110018, 107407, 123160, 111108, 28542, 20230, 21601, 107290, 5486, 101513, 109472, 16144, 39850, 108304, 96452, 107446, 106382, 11883, 29295, 45736, 109518, 108176, 102083, 100472, 109205, 69978, 106382, 16144, 111681, 104482, 32977, 101182, 9174, 102717, 32149, 105352, 5486, 114363, 11883, 107983, 16144, 109203, 20230, 16, 55038, 17620, 16144, 126202, 101918, 118347, 61398, 30512, 102332, 107674, 15120, 109076, 26892, 38144, 99750, 112854, 20230, 60358, 16995, 117809, 32977, 57903, 115847, 120577, 109242, 9039, 16144, 117809, 30512, 103214, 64121, 114146, 28713, 126202, 101918, 75267, 107407, 111817, 104272, 32977, 127181, 109807, 111817, 104272, 125030, 76947, 109431, 102769, 26854, 126202, 101918, 75267, 16144, 9039, 107407, 32149, 95532, 111817, 104272, 30512, 107691, 100472, 110115, 36896, 126202, 101918, 75267, 16144, 9039, 29295, 127242, 107113, 59712, 115364, 101918, 104091, 29295, 126202, 101918, 108608, 118347, 61398, 30512, 105184, 33563, 103082, 104435, 66383, 16995, 100472, 114667, 16556, 5486, 42506, 35330, 16144, 126574, 108936, 16144, 126202, 101918, 75267, 30512, 120273, 103664, 54926, 100909, 110276, 31431, 5486, 101918, 58426, 102944, 30512, 46034, 54322, 17663, 100909, 110276, 31431, 5486, 102677, 104468, 111098, 76622, 106956, 102944, 9174, 116900, 20230, 36896, 126202, 101918, 75267, 20230, 35894, 50834, 29295, 127181, 10646, 100909, 101983, 104533, 5486, 126202, 101918, 75267, 106382, 11883, 30512, 111817, 104272, 16144, 23951, 103721, 243, 108882, 80195, 35330, 20230, 103214, 64121, 17701, 106824, 27384, 106045, 54872, 23951, 103721, 243, 82420, 55723, 30512, 121697, 101732, 110115, 5486, 35894, 50834, 16144, 17620, 103378, 23951, 103721, 243, 108882, 80195, 35330, 29295, 127242, 54926, 102677, 30926, 107328, 32977, 21990, 100204, 30369, 1811, 17039, 113638, 40265, 39177, 15682, 123653, 17129, 76947, 102532, 32977, 5486, 111817, 104272, 16144, 106613, 116033, 89046, 106824, 104157, 101987, 30046, 32977, 45736, 106036, 95, 33208, 15024, 5486, 101918, 30512, 46034, 54322, 17663, 114754, 115079, 107800, 113702, 5486, 35894, 50834, 29295, 115079, 58942, 100481, 47884, 102677, 30926, 27452, 32977, 127181, 9174, 109431, 102769, 26854, 126202, 101918, 75267, 16144, 9039, 15682, 5486, 111817, 104272, 113468, 32977, 124500, 30369, 105879, 5486, 111108, 102800, 109606, 36785, 1811, 111817, 104272, 68408, 102832, 42634, 26269, 80805, 11972, 32977, 5486, 104770, 104409, 30926, 27452, 104309, 30512, 106596, 39926, 102332, 22324, 96455, 104309, 30512, 111800, 118219, 103792, 116497, 109846, 5486, 101544, 47884, 101987, 104004, 117591, 20230, 127749, 29295, 124500, 30369, 102677, 115789, 101182, 108995, 9174, 101513, 109472, 29430, 126202, 101918, 75267, 30512, 108167, 127258, 39926, 50211, 22324, 50834, 20230, 104721, 107800, 31431, 5486, 126202, 101918, 75267, 16144, 118347, 61398, 30512, 126202, 113663, 75267, 71289, 119732, 29220, 22324, 50834, 75267, 20230, 104721, 107800, 31431, 5486, 102083, 100472, 115289, 122279, 26854, 117271, 29295, 108608, 32149, 104405, 32149, 15682, 5486, 40452, 103214, 40862, 29295, 21105, 96, 107277, 112415, 103792, 32149, 104405, 111201, 32149, 32149, 103836, 1811, 71289, 15682, 31431, 111817, 104272, 125030, 76947, 5486, 40452, 16144, 103424, 15024, 109161, 15024, 15682, 5486, 107693, 26854, 109606, 36785, 1811, 101987, 17129, 16995, 123863, 47260, 32131, 91062, 30512, 125821, 98499, 104004, 15857, 2864, 46, 106901, 109793, 33710, 128001, 128000, 567, 34676, 30537, 34617, 66115, 18476, 11199, 19653, 112919, 40265, 115926, 25580, 198, 605, 9953, 220, 1721, 198, 67645, 32977, 5486, 125446, 102212, 38641, 9174, 43568, 102147, 226, 30512, 19732, 100909, 25827, 66870, 102334, 33503, 123334, 127567, 57207, 108969, 33710, 26854, 77219, 115717, 79721, 9174, 118789, 109904, 40265, 115926, 123628, 16995, 47884, 59739, 32149, 15682, 44620, 12379, 279, 95866, 388, 36761, 16556, 87177, 39926, 198, 61689, 105879, 5486, 100927, 103234, 114792, 103836, 126513, 27929, 112384, 30512, 109095, 108710, 39926, 64121, 104533, 198, 17039, 102800, 102404, 91774, 107407, 32149, 110241, 33121, 107515, 9174, 27929, 16995, 104446, 120953, 108422, 9174, 121733, 121733, 198, 30537, 34617, 66115, 18476, 87646, 17860, 112919, 40265, 115926, 25580, 198, 78250, 27113, 113127, 16144, 123457, 117876, 20230, 26130, 104699, 100909, 9174, 85701, 15682, 19653, 30046, 125030, 76947, 40265, 115926, 123628, 100909, 38641, 9174, 103031, 33503, 15682, 78250, 27113, 113127, 16144, 123457, 26130, 105557, 106956, 106046, 105262, 117876, 30512, 105994, 16556, 102647, 104127, 102532, 111476, 58426, 117876, 20230, 40474, 107969, 114792, 76947, 61689, 9174, 110241, 127674, 109229, 9458, 113909, 52884, 78525, 29295, 117876, 20230, 112909, 113487, 16995, 101732, 31431, 111476, 40474, 107969, 114792, 107462, 104435, 31431, 127564, 119568, 29295, 37271, 119775, 19653, 112919, 198, 31640, 13372, 113124, 9554, 48706, 108176, 109335, 104435, 123253, 9174, 43240, 119064, 116537, 113909, 52884, 78525, 120950, 17792, 30512, 105994, 107118, 108010, 30297, 115612, 26854, 48706, 103306, 198, 91774, 127280, 9174, 80673, 119568, 33503, 55031, 91774, 104984, 113909, 52884, 78525, 15682, 104721, 17792, 103351, 103306, 32977, 111476, 113909, 52884, 78525, 125030, 76947, 115364, 123120, 71289, 113702, 15682, 13177, 110219, 10646, 116787, 111476, 77693, 30512, 13177, 110219, 10646, 36785, 106046, 106358, 55031, 127105, 103031, 15682, 19653, 30046, 126529, 38641, 9174, 112832, 127303, 33121, 5486, 105994, 29295, 40265, 115926, 25580, 36785, 106046, 103836, 109335, 110219, 20230, 111476, 78183, 75694, 78183, 75694, 37689, 109375, 54926, 17129, 72661, 103470, 23039, 30297, 105908, 125545, 9174, 27452, 116285, 57326, 77750, 32131, 68759, 11972, 125030, 76947, 57326, 77750, 32131, 91062, 78244, 102158, 30512, 121247, 105262, 109335, 198, 40265, 115926, 123628, 100909, 38641, 9174, 77693, 29295, 103082, 123207, 117876, 101983, 110104, 102677, 32149, 5486, 57326, 77750, 32131, 68759, 11972, 19732, 198, 127173, 115032, 39177, 28542, 16556, 57326, 77750, 32131, 91062, 78244, 102158, 29295, 17620, 124403, 114016, 109335, 198, 57903, 50928, 107515, 9174, 102677, 109335, 5486, 57326, 77750, 32131, 91062, 30512, 121247, 119841, 112418, 125030, 76947, 57326, 77750, 32131, 68759, 11972, 15682, 198, 105994, 107118, 108010, 30297, 115612, 26854, 48706, 102677, 100909, 115717, 33541, 9174, 57326, 77750, 32131, 68759, 115247, 17792, 125030, 76947, 57326, 77750, 32131, 91062, 30512, 76537, 59739, 104468, 13177, 110219, 117503, 100909, 72661, 111476, 112418, 125030, 76947, 15682, 53953, 12870, 226, 47884, 121837, 21105, 103, 16995, 19732, 118765, 115612, 26854, 100909, 126529, 38641, 9174, 51330, 57326, 77750, 32131, 68759, 11972, 30512, 19653, 30046, 20230, 22324, 50834, 109033, 105262, 121142, 120953, 126693, 19653, 30046, 20230, 198, 26854, 104028, 104865, 29295, 17620, 126469, 103801, 61689, 9174, 57326, 77750, 32131, 68759, 11972, 115717, 28713, 118145, 57326, 77750, 32131, 91062, 30512, 40265, 115926, 112772, 121247, 105262, 17792, 20230, 198, 26854, 104984, 104712, 102756, 102663, 38641, 55031, 5486, 19653, 30046, 115717, 28713, 118145, 19653, 30046, 29295, 198, 108064, 32977, 40265, 115926, 112772, 71289, 103836, 106592, 40265, 115926, 112772, 108608, 101200, 101983, 104984, 198, 104712, 16144, 38641, 9174, 59739, 109709, 5486, 19653, 30046, 30512, 115612, 26854, 48706, 36785, 106046, 103836, 30297, 86614, 5486, 19653, 30046, 102052, 198, 26854, 110615, 102677, 100909, 38641, 9174, 120885, 67645, 103171, 101275, 104091, 127303, 33121, 5486, 42016, 101275, 30046, 15682, 96356, 60358, 26854, 48706, 38641, 123794, 95532, 57326, 77750, 32131, 68759, 11972, 125030, 76947, 57326, 77750, 32131, 68759, 11972, 15682, 96356, 60358, 26854, 116497, 36785, 15024, 111476, 122735, 17792, 125030, 76947, 16144, 122735, 17792, 32977, 5486, 55723, 46729, 125030, 76947, 16144, 55723, 46729, 32977, 111476, 109713, 60868, 33710, 47307, 52414, 125030, 76947, 16144, 109713, 60868, 33710, 47307, 52414, 32977, 99849, 33503, 115612, 26854, 48706, 77181, 198, 100604, 116497, 38641, 9174, 118816, 126693, 5486, 19653, 30046, 125030, 76947, 127177, 19653, 30046, 29295, 96356, 60358, 26854, 123017, 112672, 38641, 9174, 32977, 43514, 85791, 25827, 105994, 29295, 113797, 114330, 107113, 31431, 107063, 100, 33121, 101732, 31431, 54926, 57326, 77750, 32131, 68759, 38248, 226, 198, 122735, 17792, 71289, 109713, 60868, 33710, 47307, 52414, 15682, 96356, 60358, 26854, 112391, 29295, 21105, 103, 117201, 109954, 29295, 111476, 122582, 105994, 29295, 103031, 120577, 40265, 115926, 25580, 30512, 40265, 115926, 112772, 103082, 126386, 106592, 198, 21405, 103792, 20230, 120195, 107515, 9174, 15120, 89753, 16144, 57326, 77750, 32131, 68759, 11972, 29295, 40265, 115926, 112772, 71289, 103836, 105908, 103082, 123207, 111476, 112361, 57326, 77750, 32131, 68759, 11972, 72661, 41920, 89753, 88852, 108176, 9174, 77693, 103378, 16144, 100909, 38641, 9174, 30591, 112568, 29295, 107063, 100, 115032, 19653, 30046, 15682, 99849, 30512, 40265, 115926, 25580, 36785, 106046, 76947, 102532, 111476, 108064, 32977, 99849, 30512, 40265, 115926, 112772, 71289, 103836, 104865, 9174, 77693, 30512, 53283, 30369, 105908, 19653, 111363, 60358, 45893, 38641, 9174, 22656, 101129, 112465, 55228, 238, 125030, 76947, 121120, 111243, 112854, 107436, 32977, 60868, 125135, 16144, 106592, 198, 78698, 107290, 114732, 104468, 40265, 115926, 25580, 32149, 121061, 15024, 5486, 104500, 22656, 17792, 78228, 125030, 76947, 198, 121120, 111243, 112854, 107436, 32977, 49838, 117714, 106592, 78698, 107290, 114732, 104468, 40265, 115926, 25580, 32149, 32977, 198, 15024, 33121, 107515, 9174, 30591, 112568, 29295, 22649, 101067, 117408, 19653, 112919, 40265, 115926, 25580, 116825, 104369, 30813, 20230, 114181, 105085, 39926, 17297, 65316, 9174, 110924, 102052, 50834, 104043, 108149, 112568, 16144, 103130, 104004, 125231, 45893, 29295, 20379, 110731, 116497, 38641, 9174, 97135, 16995, 79721, 1811, 128001, 128000, 2, 63923, 119, 34758, 112854, 102181, 119185, 115240, 124905, 124059, 34758, 116700, 16556, 124858, 103378, 30512, 108950, 103188, 124545, 41007, 198, 37271, 17129, 77181, 96452, 123577, 32131, 33710, 20230, 108950, 103188, 14395, 16556, 116700, 39926, 28713, 16144, 119627, 115515, 18904, 15682, 105321, 19732, 103470, 115240, 124905, 78183, 100604, 16556, 118765, 107188, 106046, 102334, 43514, 31195, 198, 113702, 112535, 17297, 104865, 58942, 32131, 103672, 115867, 71289, 31431, 24273, 30512, 117811, 121256, 9174, 111134, 68408, 38248, 115, 78205, 16073, 116700, 30512, 111134, 68408, 38248, 115, 78205, 16073, 107726, 100604, 10110, 30469, 941, 28, 15, 7705, 16556, 108950, 31958, 121432, 103378, 30512, 107740, 54926, 41007, 38641, 9174, 21027, 368, 19732, 5428, 16556, 124858, 103378, 30512, 108950, 103188, 124545, 1811, 765, 119653, 58942, 32131, 103672, 27798, 198, 77219, 16325, 16144, 116700, 15682, 101828, 1135, 113127, 30512, 124858, 117657, 116700, 125651, 9174, 85701, 30512, 119870, 124364, 39926, 198, 102677, 116700, 16556, 5486, 5484, 23, 5486, 24, 5486, 33002, 5486, 99012, 16556, 42016, 103826, 26854, 112391, 16556, 127919, 16995, 103271, 16144, 103268, 108950, 31958, 115717, 79721, 9174, 17905, 16144, 5428, 25, 30371, 307, 25, 17001, 1945, 9140, 21909, 29295, 5484, 70141, 76622, 16144, 116700, 16556, 5486, 21027, 15682, 5484, 116749, 16144, 110101, 65299, 103988, 70141, 76622, 16144, 116700, 125651, 9174, 14711, 24431, 368, 15682, 34758, 18, 104446, 103470, 111243, 33655, 58942, 33541, 9174, 16995, 47884, 59739, 116421, 110229, 16556, 34758, 18, 16144, 37823, 104774, 44971, 107446, 103306, 107121, 113017, 105879, 5486, 10910, 6885, 116700, 15682, 15682, 34758, 18, 110034, 19732, 33655, 119841, 32149, 106046, 76947, 28713, 16144, 119627, 5486, 18, 104446, 103470, 111243, 27384, 121313, 16556, 56051, 9174, 21027, 368, 90581, 34758, 18, 37823, 104774 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 127181, 29295, 5486, 57207, 114676, 114050, 29295, 15120, 109076, 26892, 38144, 55031, 103449, 20230, 60358, 16995, 111817, 104272, 20230, 107691, 16995, 109913, 105262, 16144, 30512, 101513, 20230, 101918, 30512, 46034, 54322, 56051, 31431, 121453, 113638, 111817, 104272, 16144, 121374, 17905, 123716, 16144, 117375, 114475, 107441, 5486, 105268, 8107, 101083, 115351, 29295, 126783, 42634, 107060, 16144, 109972, 106529, 30512, 78698, 107290, 101918, 30512, 56438, 21105, 103, 16995, 127331, 124949, 30512, 102647, 104369, 102083, 100472, 115789, 101182, 120900, 1811, 111817, 104272, 16144, 126202, 101918, 75267, 19732, 15120, 40526, 20230, 78244, 114598, 116898, 85791, 16995, 85791, 26854, 104091, 104770, 107407, 95532, 77181, 5486, 111817, 104272, 16144, 126202, 101918, 75267, 109853, 5486, 102987, 45144, 222, 31431, 39926, 64121, 101200, 9174, 67645, 103171, 104091, 104770, 29295, 30591, 76947, 108048, 108422, 120811, 103171, 66378, 17599, 112, 107407, 120900, 32149, 95532, 13177, 50211, 22324, 50834, 126202, 101918, 75267, 10646, 15682, 116898, 78183, 106644, 30369, 126202, 101918, 75267, 16144, 25197, 126989, 58426, 17129, 103296, 5486, 111817, 104272, 16144, 121536, 30590, 20230, 126202, 101918, 75267, 16144, 24775, 55723, 111017, 31431, 30512, 39926, 5486, 117273, 55031, 103130, 17701, 39926, 58426, 110674, 126202, 101918, 108608, 117809, 36785, 1811, 101918, 104091, 30512, 102647, 81219, 101860, 5486, 101918, 16144, 121216, 125639, 29295, 105465, 26854, 105879, 5486, 126909, 16144, 101182, 117809, 109846, 5486, 43240, 119064, 121536, 30590, 30512, 109215, 117408, 112973, 111108, 28542, 36785, 9174, 13177, 37026, 102149, 29430, 16144, 80195, 33014, 126202, 101918, 75267, 10646, 15682, 5486, 109242, 9039, 114050, 16144, 126202, 101918, 114363, 11883, 127178, 53953, 20230, 5486, 22398, 42634, 107610, 30512, 115442, 76947, 115364, 126202, 101918, 118347, 61398, 103296, 101918, 16556, 127284, 54926, 117809, 36785, 127211, 25287, 111817, 104272, 104309, 103732, 47884, 91774, 102204, 122603, 114050, 25287, 101983, 103836, 107803, 32977, 101182, 1811, 50211, 22324, 50834, 105755, 121536, 30590, 16144, 118347, 61398, 30512, 31809, 30813, 47884, 108608, 29295, 5486, 127178, 47260, 71634, 29295, 32149, 117295, 5486, 37729, 108882, 96455, 20230, 21601, 70203, 107001, 123160, 111108, 28542, 107407, 9174, 13177, 101513, 109472, 29430, 16144, 80195, 33014, 126202, 101918, 75267, 10646, 15682, 5486, 123716, 104989, 101513, 19732, 80805, 123167, 104309, 16556, 80195, 33014, 112535, 106391, 13153, 84389, 5486, 101513, 109472, 112535, 101918, 30512, 121216, 125639, 54926, 117809, 36785, 1811, 121536, 30590, 16144, 31809, 30813, 26854, 118347, 61398, 72661, 43240, 119064, 101918, 30512, 126202, 101918, 124545, 105908, 108608, 105879, 5486, 72368, 24775, 34048, 16144, 111817, 104272, 104309, 20230, 43240, 47884, 91774, 110071, 1811, 121216, 125639, 20230, 82973, 29295, 32149, 117295, 5486, 101918, 104091, 113468, 126202, 101918, 118765, 5486, 41190, 123429, 104309, 16556, 33655, 119841, 110018, 107407, 123160, 111108, 28542, 20230, 21601, 107290, 5486, 101513, 109472, 16144, 39850, 108304, 96452, 107446, 106382, 11883, 29295, 45736, 109518, 108176, 102083, 100472, 109205, 69978, 106382, 16144, 111681, 104482, 32977, 101182, 9174, 102717, 32149, 105352, 5486, 114363, 11883, 107983, 16144, 109203, 20230, 16, 55038, 17620, 16144, 126202, 101918, 118347, 61398, 30512, 102332, 107674, 15120, 109076, 26892, 38144, 99750, 112854, 20230, 60358, 16995, 117809, 32977, 57903, 115847, 120577, 109242, 9039, 16144, 117809, 30512, 103214, 64121, 114146, 28713, 126202, 101918, 75267, 107407, 111817, 104272, 32977, 127181, 109807, 111817, 104272, 125030, 76947, 109431, 102769, 26854, 126202, 101918, 75267, 16144, 9039, 107407, 32149, 95532, 111817, 104272, 30512, 107691, 100472, 110115, 36896, 126202, 101918, 75267, 16144, 9039, 29295, 127242, 107113, 59712, 115364, 101918, 104091, 29295, 126202, 101918, 108608, 118347, 61398, 30512, 105184, 33563, 103082, 104435, 66383, 16995, 100472, 114667, 16556, 5486, 42506, 35330, 16144, 126574, 108936, 16144, 126202, 101918, 75267, 30512, 120273, 103664, 54926, 100909, 110276, 31431, 5486, 101918, 58426, 102944, 30512, 46034, 54322, 17663, 100909, 110276, 31431, 5486, 102677, 104468, 111098, 76622, 106956, 102944, 9174, 116900, 20230, 36896, 126202, 101918, 75267, 20230, 35894, 50834, 29295, 127181, 10646, 100909, 101983, 104533, 5486, 126202, 101918, 75267, 106382, 11883, 30512, 111817, 104272, 16144, 23951, 103721, 243, 108882, 80195, 35330, 20230, 103214, 64121, 17701, 106824, 27384, 106045, 54872, 23951, 103721, 243, 82420, 55723, 30512, 121697, 101732, 110115, 5486, 35894, 50834, 16144, 17620, 103378, 23951, 103721, 243, 108882, 80195, 35330, 29295, 127242, 54926, 102677, 30926, 107328, 32977, 21990, 100204, 30369, 1811, 17039, 113638, 40265, 39177, 15682, 123653, 17129, 76947, 102532, 32977, 5486, 111817, 104272, 16144, 106613, 116033, 89046, 106824, 104157, 101987, 30046, 32977, 45736, 106036, 95, 33208, 15024, 5486, 101918, 30512, 46034, 54322, 17663, 114754, 115079, 107800, 113702, 5486, 35894, 50834, 29295, 115079, 58942, 100481, 47884, 102677, 30926, 27452, 32977, 127181, 9174, 109431, 102769, 26854, 126202, 101918, 75267, 16144, 9039, 15682, 5486, 111817, 104272, 113468, 32977, 124500, 30369, 105879, 5486, 111108, 102800, 109606, 36785, 1811, 111817, 104272, 68408, 102832, 42634, 26269, 80805, 11972, 32977, 5486, 104770, 104409, 30926, 27452, 104309, 30512, 106596, 39926, 102332, 22324, 96455, 104309, 30512, 111800, 118219, 103792, 116497, 109846, 5486, 101544, 47884, 101987, 104004, 117591, 20230, 127749, 29295, 124500, 30369, 102677, 115789, 101182, 108995, 9174, 101513, 109472, 29430, 126202, 101918, 75267, 30512, 108167, 127258, 39926, 50211, 22324, 50834, 20230, 104721, 107800, 31431, 5486, 126202, 101918, 75267, 16144, 118347, 61398, 30512, 126202, 113663, 75267, 71289, 119732, 29220, 22324, 50834, 75267, 20230, 104721, 107800, 31431, 5486, 102083, 100472, 115289, 122279, 26854, 117271, 29295, 108608, 32149, 104405, 32149, 15682, 5486, 40452, 103214, 40862, 29295, 21105, 96, 107277, 112415, 103792, 32149, 104405, 111201, 32149, 32149, 103836, 1811, 71289, 15682, 31431, 111817, 104272, 125030, 76947, 5486, 40452, 16144, 103424, 15024, 109161, 15024, 15682, 5486, 107693, 26854, 109606, 36785, 1811, 101987, 17129, 16995, 123863, 47260, 32131, 91062, 30512, 125821, 98499, 104004, 15857, 2864, 46, 106901, 109793, 33710, 128001, 128000, 567, 34676, 30537, 34617, 66115, 18476, 11199, 19653, 112919, 40265, 115926, 25580, 198, 605, 9953, 220, 1721, 198, 67645, 32977, 5486, 125446, 102212, 38641, 9174, 43568, 102147, 226, 30512, 19732, 100909, 25827, 66870, 102334, 33503, 123334, 127567, 57207, 108969, 33710, 26854, 77219, 115717, 79721, 9174, 118789, 109904, 40265, 115926, 123628, 16995, 47884, 59739, 32149, 15682, 44620, 12379, 279, 95866, 388, 36761, 16556, 87177, 39926, 198, 61689, 105879, 5486, 100927, 103234, 114792, 103836, 126513, 27929, 112384, 30512, 109095, 108710, 39926, 64121, 104533, 198, 17039, 102800, 102404, 91774, 107407, 32149, 110241, 33121, 107515, 9174, 27929, 16995, 104446, 120953, 108422, 9174, 121733, 121733, 198, 30537, 34617, 66115, 18476, 87646, 17860, 112919, 40265, 115926, 25580, 198, 78250, 27113, 113127, 16144, 123457, 117876, 20230, 26130, 104699, 100909, 9174, 85701, 15682, 19653, 30046, 125030, 76947, 40265, 115926, 123628, 100909, 38641, 9174, 103031, 33503, 15682, 78250, 27113, 113127, 16144, 123457, 26130, 105557, 106956, 106046, 105262, 117876, 30512, 105994, 16556, 102647, 104127, 102532, 111476, 58426, 117876, 20230, 40474, 107969, 114792, 76947, 61689, 9174, 110241, 127674, 109229, 9458, 113909, 52884, 78525, 29295, 117876, 20230, 112909, 113487, 16995, 101732, 31431, 111476, 40474, 107969, 114792, 107462, 104435, 31431, 127564, 119568, 29295, 37271, 119775, 19653, 112919, 198, 31640, 13372, 113124, 9554, 48706, 108176, 109335, 104435, 123253, 9174, 43240, 119064, 116537, 113909, 52884, 78525, 120950, 17792, 30512, 105994, 107118, 108010, 30297, 115612, 26854, 48706, 103306, 198, 91774, 127280, 9174, 80673, 119568, 33503, 55031, 91774, 104984, 113909, 52884, 78525, 15682, 104721, 17792, 103351, 103306, 32977, 111476, 113909, 52884, 78525, 125030, 76947, 115364, 123120, 71289, 113702, 15682, 13177, 110219, 10646, 116787, 111476, 77693, 30512, 13177, 110219, 10646, 36785, 106046, 106358, 55031, 127105, 103031, 15682, 19653, 30046, 126529, 38641, 9174, 112832, 127303, 33121, 5486, 105994, 29295, 40265, 115926, 25580, 36785, 106046, 103836, 109335, 110219, 20230, 111476, 78183, 75694, 78183, 75694, 37689, 109375, 54926, 17129, 72661, 103470, 23039, 30297, 105908, 125545, 9174, 27452, 116285, 57326, 77750, 32131, 68759, 11972, 125030, 76947, 57326, 77750, 32131, 91062, 78244, 102158, 30512, 121247, 105262, 109335, 198, 40265, 115926, 123628, 100909, 38641, 9174, 77693, 29295, 103082, 123207, 117876, 101983, 110104, 102677, 32149, 5486, 57326, 77750, 32131, 68759, 11972, 19732, 198, 127173, 115032, 39177, 28542, 16556, 57326, 77750, 32131, 91062, 78244, 102158, 29295, 17620, 124403, 114016, 109335, 198, 57903, 50928, 107515, 9174, 102677, 109335, 5486, 57326, 77750, 32131, 91062, 30512, 121247, 119841, 112418, 125030, 76947, 57326, 77750, 32131, 68759, 11972, 15682, 198, 105994, 107118, 108010, 30297, 115612, 26854, 48706, 102677, 100909, 115717, 33541, 9174, 57326, 77750, 32131, 68759, 115247, 17792, 125030, 76947, 57326, 77750, 32131, 91062, 30512, 76537, 59739, 104468, 13177, 110219, 117503, 100909, 72661, 111476, 112418, 125030, 76947, 15682, 53953, 12870, 226, 47884, 121837, 21105, 103, 16995, 19732, 118765, 115612, 26854, 100909, 126529, 38641, 9174, 51330, 57326, 77750, 32131, 68759, 11972, 30512, 19653, 30046, 20230, 22324, 50834, 109033, 105262, 121142, 120953, 126693, 19653, 30046, 20230, 198, 26854, 104028, 104865, 29295, 17620, 126469, 103801, 61689, 9174, 57326, 77750, 32131, 68759, 11972, 115717, 28713, 118145, 57326, 77750, 32131, 91062, 30512, 40265, 115926, 112772, 121247, 105262, 17792, 20230, 198, 26854, 104984, 104712, 102756, 102663, 38641, 55031, 5486, 19653, 30046, 115717, 28713, 118145, 19653, 30046, 29295, 198, 108064, 32977, 40265, 115926, 112772, 71289, 103836, 106592, 40265, 115926, 112772, 108608, 101200, 101983, 104984, 198, 104712, 16144, 38641, 9174, 59739, 109709, 5486, 19653, 30046, 30512, 115612, 26854, 48706, 36785, 106046, 103836, 30297, 86614, 5486, 19653, 30046, 102052, 198, 26854, 110615, 102677, 100909, 38641, 9174, 120885, 67645, 103171, 101275, 104091, 127303, 33121, 5486, 42016, 101275, 30046, 15682, 96356, 60358, 26854, 48706, 38641, 123794, 95532, 57326, 77750, 32131, 68759, 11972, 125030, 76947, 57326, 77750, 32131, 68759, 11972, 15682, 96356, 60358, 26854, 116497, 36785, 15024, 111476, 122735, 17792, 125030, 76947, 16144, 122735, 17792, 32977, 5486, 55723, 46729, 125030, 76947, 16144, 55723, 46729, 32977, 111476, 109713, 60868, 33710, 47307, 52414, 125030, 76947, 16144, 109713, 60868, 33710, 47307, 52414, 32977, 99849, 33503, 115612, 26854, 48706, 77181, 198, 100604, 116497, 38641, 9174, 118816, 126693, 5486, 19653, 30046, 125030, 76947, 127177, 19653, 30046, 29295, 96356, 60358, 26854, 123017, 112672, 38641, 9174, 32977, 43514, 85791, 25827, 105994, 29295, 113797, 114330, 107113, 31431, 107063, 100, 33121, 101732, 31431, 54926, 57326, 77750, 32131, 68759, 38248, 226, 198, 122735, 17792, 71289, 109713, 60868, 33710, 47307, 52414, 15682, 96356, 60358, 26854, 112391, 29295, 21105, 103, 117201, 109954, 29295, 111476, 122582, 105994, 29295, 103031, 120577, 40265, 115926, 25580, 30512, 40265, 115926, 112772, 103082, 126386, 106592, 198, 21405, 103792, 20230, 120195, 107515, 9174, 15120, 89753, 16144, 57326, 77750, 32131, 68759, 11972, 29295, 40265, 115926, 112772, 71289, 103836, 105908, 103082, 123207, 111476, 112361, 57326, 77750, 32131, 68759, 11972, 72661, 41920, 89753, 88852, 108176, 9174, 77693, 103378, 16144, 100909, 38641, 9174, 30591, 112568, 29295, 107063, 100, 115032, 19653, 30046, 15682, 99849, 30512, 40265, 115926, 25580, 36785, 106046, 76947, 102532, 111476, 108064, 32977, 99849, 30512, 40265, 115926, 112772, 71289, 103836, 104865, 9174, 77693, 30512, 53283, 30369, 105908, 19653, 111363, 60358, 45893, 38641, 9174, 22656, 101129, 112465, 55228, 238, 125030, 76947, 121120, 111243, 112854, 107436, 32977, 60868, 125135, 16144, 106592, 198, 78698, 107290, 114732, 104468, 40265, 115926, 25580, 32149, 121061, 15024, 5486, 104500, 22656, 17792, 78228, 125030, 76947, 198, 121120, 111243, 112854, 107436, 32977, 49838, 117714, 106592, 78698, 107290, 114732, 104468, 40265, 115926, 25580, 32149, 32977, 198, 15024, 33121, 107515, 9174, 30591, 112568, 29295, 22649, 101067, 117408, 19653, 112919, 40265, 115926, 25580, 116825, 104369, 30813, 20230, 114181, 105085, 39926, 17297, 65316, 9174, 110924, 102052, 50834, 104043, 108149, 112568, 16144, 103130, 104004, 125231, 45893, 29295, 20379, 110731, 116497, 38641, 9174, 97135, 16995, 79721, 1811, 128001, 128000, 2, 63923, 119, 34758, 112854, 102181, 119185, 115240, 124905, 124059, 34758, 116700, 16556, 124858, 103378, 30512, 108950, 103188, 124545, 41007, 198, 37271, 17129, 77181, 96452, 123577, 32131, 33710, 20230, 108950, 103188, 14395, 16556, 116700, 39926, 28713, 16144, 119627, 115515, 18904, 15682, 105321, 19732, 103470, 115240, 124905, 78183, 100604, 16556, 118765, 107188, 106046, 102334, 43514, 31195, 198, 113702, 112535, 17297, 104865, 58942, 32131, 103672, 115867, 71289, 31431, 24273, 30512, 117811, 121256, 9174, 111134, 68408, 38248, 115, 78205, 16073, 116700, 30512, 111134, 68408, 38248, 115, 78205, 16073, 107726, 100604, 10110, 30469, 941, 28, 15, 7705, 16556, 108950, 31958, 121432, 103378, 30512, 107740, 54926, 41007, 38641, 9174, 21027, 368, 19732, 5428, 16556, 124858, 103378, 30512, 108950, 103188, 124545, 1811, 765, 119653, 58942, 32131, 103672, 27798, 198, 77219, 16325, 16144, 116700, 15682, 101828, 1135, 113127, 30512, 124858, 117657, 116700, 125651, 9174, 85701, 30512, 119870, 124364, 39926, 198, 102677, 116700, 16556, 5486, 5484, 23, 5486, 24, 5486, 33002, 5486, 99012, 16556, 42016, 103826, 26854, 112391, 16556, 127919, 16995, 103271, 16144, 103268, 108950, 31958, 115717, 79721, 9174, 17905, 16144, 5428, 25, 30371, 307, 25, 17001, 1945, 9140, 21909, 29295, 5484, 70141, 76622, 16144, 116700, 16556, 5486, 21027, 15682, 5484, 116749, 16144, 110101, 65299, 103988, 70141, 76622, 16144, 116700, 125651, 9174, 14711, 24431, 368, 15682, 34758, 18, 104446, 103470, 111243, 33655, 58942, 33541, 9174, 16995, 47884, 59739, 116421, 110229, 16556, 34758, 18, 16144, 37823, 104774, 44971, 107446, 103306, 107121, 113017, 105879, 5486, 10910, 6885, 116700, 15682, 15682, 34758, 18, 110034, 19732, 33655, 119841, 32149, 106046, 76947, 28713, 16144, 119627, 5486, 18, 104446, 103470, 111243, 27384, 121313, 16556, 56051, 9174, 21027, 368, 90581, 34758, 18, 37823, 104774 ]
[ 44971, 107446, 198, 109461, 5486, 60027, 112603, 30512, 60868, 121057, 109768, 100604, 110101, 65299, 103988, 77181, 5486, 108950, 31958, 27479, 103378, 29295, 43568, 103984, 116216, 110904, 109020, 18683, 112603, 103306, 121247, 126832, 16144, 126194, 5486, 39135, 109823, 58426, 102944, 29295, 104736, 109375, 84389, 101860, 20230, 43568, 126120, 117282, 105879, 61633, 39926, 72315, 9174, 14711, 24431, 368, 19732, 126419, 20230, 124858, 15682, 116700, 118765, 198, 7101, 16144, 116700, 30512, 39926, 104533, 50834, 20230, 5486, 5484, 77181, 103268, 108950, 31958, 101983, 113017, 110115, 5486, 33002, 77181, 124858, 67016, 91774, 119841, 102677, 102321, 47523, 20230, 30591, 16995, 79721, 9174, 116292, 102800, 120266, 5486, 21027, 368, 30512, 116700, 56051, 111831, 19732, 112361, 111831, 20230, 1445, 70, 43376, 14064, 30512, 116700, 112990, 5486, 1445, 70, 43376, 14064, 29295, 17905, 20230, 16144, 42891, 126469, 103801, 16995, 5486, 103268, 108950, 31958, 105494, 29295, 91774, 58942, 103470, 109020, 117840, 1811, 26854, 105879, 115240, 29295, 103268, 108950, 31958, 16556, 100604, 48249, 31431, 15682, 5486, 124858, 115240, 15682, 126419, 20230, 116700, 103082, 107515, 10110, 127998, 26016, 30297, 30297, 30297, 9174, 5428, 25, 116700, 15682, 5486, 124858, 29295, 74482, 85791, 20230, 18904, 30369, 105933, 105879, 5486, 5484, 118816, 108056, 19732, 91774, 105262, 116233, 29295, 101832, 9174, 34758, 18, 118816, 53900, 108010, 76947, 109749, 32149, 32977, 53283, 33121, 107515, 9174, 14711, 4141, 25, 111831, 16556, 108526, 20251, 102895, 16556, 95604, 2031, 113127, 16144, 108950, 31958, 27479, 15682, 104405, 125338, 30591, 33503, 78183, 17663, 104865, 198, 17905, 16144, 116700, 16556, 24186, 39135, 16144, 2, 19222, 65, 22, 65, 16144, 103892, 20230, 108950, 31958, 27479, 30512, 21405, 17663, 9039, 112603, 30512, 47000, 118145, 5486, 57980, 16995, 102677, 109335, 78183, 102518, 16144, 119627, 5486, 108526, 20251, 102895, 16556, 116700, 103792, 108950, 31958, 27479, 2031, 113127, 30512, 845, 103130, 9039, 16556, 21405, 17663, 102052, 104405, 127564, 57980, 16995, 102677, 120266, 103892, 30512, 101128, 102, 17129, 121256, 9174, 124042, 112535, 43568, 22649, 71289, 31431, 122282, 39926, 36896, 33, 21, 66383, 95604, 9039, 112603, 30512, 121216, 79721, 29295, 5486, 111017, 31431, 102769, 33121, 101860, 20230, 109431, 40265, 117158, 56051, 105494, 107407, 105879, 5486, 16906, 111, 28741, 102052, 43240, 17620, 108010, 30297, 31195, 7, 4235, 280, 410, 30512, 15, 113127, 5486, 1785, 30512, 1041, 113127, 103306, 5486, 605, 113127, 106145, 64121, 16144, 9039, 112603, 29295, 53283, 31431, 106956, 31195, 7, 4235, 280, 43568, 22649, 71289, 31431, 111017, 76947, 845, 103130, 9039, 117271, 21405, 16556, 102867, 33503, 21105, 224, 78183, 56051, 9039, 112603, 10110, 3192, 14, 605, 28, 914, 13, 20, 60094, 240, 1627, 20230, 21105, 94, 101668, 100472, 23954, 15, 4, 47118, 242, 220, 410, 198, 605, 4, 47118, 242, 220, 16, 32, 198, 508, 4, 47118, 242, 220, 1958, 198, 966, 4, 47118, 242, 220, 19, 36, 198, 1272, 4, 47118, 242, 220, 2614, 198, 1135, 4, 47118, 242, 220, 6086, 198, 1399, 4, 47118, 242, 220, 24, 34, 198, 2031, 4, 47118, 242, 426, 21, 198, 1490, 4, 47118, 242, 423, 15, 198, 1954, 4, 47118, 242, 39462, 198, 1041, 4, 47118, 242, 31042, 198, 41758, 41758, 103836, 126101, 946, 5494, 104721, 109033, 103223, 64178, 102677, 123017, 91774, 59739, 107674, 16144, 119627, 115847, 32977, 16937, 108950, 31958, 27479, 30512, 109823, 21105, 103, 50834, 101668, 16995, 124324, 105879, 33655, 58942, 104435, 9174, 14711, 4141, 25, 111831, 16556, 61304, 43032, 30512, 56965, 108010, 107800, 31431, 5486, 57903, 119841, 9039, 112603, 30512, 17701, 104028, 19732, 124563, 112371, 32149, 103271, 16995, 111134, 68408, 38248, 115, 78205, 16073, 29295, 52563, 198, 97518, 89046, 39926, 2, 35, 15, 19732, 125639, 123207, 16995, 124324, 110229, 30512, 5486, 17129, 43514, 29295, 107290, 2, 5989, 10110, 21405, 102052, 100604, 9039, 112603, 7705, 103306, 114604, 33503, 124563, 112371, 32149, 103271, 16995, 111134, 68408, 38248, 115, 78205, 16073, 29295, 52563, 84389, 79721, 9174, 567, 19172, 118816, 45829, 31634, 72238, 103296, 37087, 38144, 108950, 103188, 39926, 114732, 105879, 5486, 124858, 102052, 33655, 119841, 198, 21388, 113529, 27452, 119627, 5486, 119869, 15682, 88852, 30512, 117811, 127564, 91774, 30926, 20230, 16325, 16144, 115240, 103296, 108950, 31958, 20230, 68423, 198, 5484, 9458, 88750, 9458, 96601, 9458, 45, 1441, 5443, 9458, 50, 60739, 16556, 52563, 88367, 26854, 103268, 108950, 31958, 34758, 14, 15968, 57933, 29220, 122842, 1389, 45056, 68408, 126590, 426, 7391, 198, 102717, 19732, 124592, 16144, 110101, 65299, 103988, 16556, 124858, 16144, 103268, 108950, 31958, 33208, 30512, 88367, 117657, 34758, 109823, 765, 12790, 33328, 198, 15682, 17129, 43514, 108056, 32977, 16995, 113017, 104466, 21213, 118816, 45829, 31634, 72238, 103296, 37087, 38144, 108950, 103188, 39926, 103801, 61689, 9174, 34758, 16556, 103268, 108950, 31958, 5486, 21213, 19732, 21027, 16144, 121953, 1389, 220, 109416, 47884, 15682, 17129, 43514, 108056, 6447, 7, 73387, 7304, 340, 72958, 51330, 77219, 91774, 28713, 100909, 105693, 105272, 29295, 5486, 17663, 42891, 107277, 112727, 106824, 28713, 9174, 14711, 44714, 95, 107290, 124858, 121142, 103470, 37087, 38144, 30512, 108950, 32149, 39926, 64121, 30369, 10110, 679, 12879, 975, 104862, 61304, 23954, 58426, 126513, 51330, 122481, 30512, 121846, 20230, 9174, 37087, 38144, 16144, 110101, 65299, 103988, 113115, 106608, 56051, 5254, 105335, 106696, 57207, 84477, 16144, 108950, 31958, 5486, 103268, 108950, 31958, 16144, 124858, 116700, 30512, 61304, 43032, 54926, 765, 20394, 20230, 14783, 28508, 5446, 650, 18, 106609, 27452, 15682, 5313, 16556, 107188, 31431, 22398, 102663, 22398, 102663, 105321, 119627, 5486, 2721, 104699, 110706, 20230, 126693, 5486, 68408, 126590, 113468, 15682, 110924, 110924, 33655, 58942, 102131, 107188, 106046, 61689, 9174, 85701, 118816, 22398, 110305, 64178, 110590, 15682, 37087, 108950, 76622, 16556, 124858, 19732, 112361, 115240, 115717, 33541, 57980, 106609, 6884, 25, 674, 14424, 26, 4141, 25, 7288, 17534, 4107, 28, 2721, 1237, 482, 47617, 69159, 25, 15, 13, 2721, 26, 482, 74, 1580, 69159, 25, 220, 15, 13, 2721, 26, 19172, 25, 15, 13, 2721, 26, 457, 14711, 123485, 16144, 121846, 77219, 198, 21027, 16556, 112825, 110904, 20230, 5254, 116771, 16144, 103268, 108950, 31958, 16144, 124858, 29295, 103350, 99741, 103082, 28713, 1389, 122827, 126594, 77750, 102040, 48552, 271, 51330, 24273, 32977, 124042, 112535, 32149, 58942, 32131, 103672, 16144, 71289, 31431, 24273, 16556, 120175, 100815, 119188, 116233, 29295, 111476, 43511, 105352, 39135, 104680, 121846, 116974, 29295, 107121, 76947, 61689, 9174, 53900, 115364, 117501, 77181, 114140, 39926, 100604, 454, 2473, 77181, 103350, 99741, 103082, 104435, 102677, 61304, 43032, 115991, 33541, 1811, 128001, 128000, 567, 41766, 250, 16325, 16144, 20251, 25197, 44971, 198, 13177, 45829, 67645, 102944, 119400, 20230, 116898, 111201, 119515, 107188, 109739, 102802, 16144, 82973, 30512, 30358, 101832, 38144, 105898, 32149, 10646, 29295, 5486, 101523, 227, 48634, 101182, 119436, 30512, 101662, 13153, 54926, 103846, 112028, 118821, 27384, 112495, 112258, 113, 115717, 33541, 109807, 109739, 102802, 107118, 5486, 48915, 109739, 102802, 15682, 53508, 123, 105242, 16144, 30926, 5486, 109683, 20230, 109835, 106824, 102404, 91774, 54926, 109739, 102802, 71289, 5486, 114225, 110924, 117083, 9080, 40053, 16144, 102944, 30512, 99849, 72661, 45893, 77913, 116446, 109739, 103854, 30369, 13177, 109739, 102802, 117503, 100909, 38641, 1811, 126574, 33334, 35330, 30512, 124237, 76947, 109739, 104369, 57933, 108941, 80805, 105048, 16144, 109739, 102802, 71289, 5486, 114567, 16144, 109739, 102802, 77181, 124897, 107030, 29295, 46729, 77181, 5486, 67645, 103171, 101426, 32977, 109739, 102802, 16144, 45893, 77913, 116446, 103801, 61689, 9174, 103309, 126867, 20251, 25197, 44971, 20230, 72718, 50834, 30369, 112973, 9080, 40053, 117084, 103801, 103836, 127880, 37026, 110362, 77181, 5486, 103309, 16325, 16144, 20251, 25197, 44971, 16144, 101426, 15682, 107693, 38641, 1811, 103293, 30832, 112854, 109315, 113009, 101402, 107873, 16144, 101426, 29295, 109215, 26854, 109335, 114652, 15024, 125398, 100909, 38641, 109900, 19732, 112361, 16556, 5486, 81258, 121120, 107113, 126101, 20251, 25197, 44971, 120650, 76947, 109215, 71689, 16144, 31958, 30369, 30813, 29295, 30832, 109156, 104533, 5486, 112854, 115889, 39926, 103801, 61689, 1811, 113702, 106116, 123470, 113136, 120379, 16144, 105284, 29295, 120175, 38144, 114732, 16449, 102677, 100909, 115717, 33541, 113637, 108882, 64121, 30358, 101832, 29295, 102971, 106391, 33014, 20230, 103672, 103857, 109229, 42634, 115247, 104466, 126120, 102532, 50834, 33541, 9174, 107943, 114667, 32977, 57903, 5486, 37046, 29295, 46729, 16144, 20251, 25197, 44971, 77181, 11881, 120, 11883, 5486, 103309, 16325, 11883, 16144, 102867, 31958, 30512, 11883, 37689, 127145, 1811, 11881, 120, 56965, 15682, 113614, 116696, 48552, 16144, 103846, 17905, 117758, 101426, 107407, 19732, 103424, 117714, 119627, 5486, 103309, 16325, 15682, 56965, 30177, 102867, 31958, 16556, 114392, 38641, 113637, 41920, 59739, 29295, 30591, 104984, 5486, 37507, 65854, 125344, 114715, 25132, 108, 116310, 95221, 30512, 118158, 16995, 39177, 32977, 38129, 125545, 109807, 17620, 20251, 25197, 44971, 16556, 91774, 30369, 101426, 16144, 104346, 86354, 29295, 105104, 105262, 32149, 110241, 33121, 107515, 107030, 29295, 46729, 77181, 5486, 99695, 113390, 25005, 249, 33710, 126567, 16556, 95543, 105644, 56051, 101426, 29295, 105469, 101559, 58911, 16144, 104346, 86354, 126694, 76947, 120700, 79721, 1811, 128001, 128000, 19653, 103792, 33, 998, 33, 114435, 15682, 99849, 30512, 103792, 32149, 95532, 111234, 52884, 76706, 11883, 20230, 19653, 110731, 114435, 15682, 111476, 111234, 52884, 116229, 126694, 30369, 123628, 13177, 102669, 105838, 105226, 23187, 66383, 19967, 100472, 123470, 13177, 103768, 112167, 10646, 33014, 44416, 106391, 113638, 20230, 30358, 50834, 30512, 22324, 102532, 61689, 109900, 15682, 5486, 112828, 101275, 102669, 105838, 71289, 37823, 118331, 38248, 95, 33710, 109713, 64810, 57326, 20251, 16144, 23187, 104577, 110214, 20230, 101275, 30046, 102416, 113692, 80172, 102639, 54926, 100909, 71289, 111707, 78349, 52884, 116229, 126694, 100472, 50834, 31431, 124572, 108323, 32977, 121697, 101860, 5486, 111800, 110322, 32977, 23226, 106594, 32977, 21105, 103, 16995, 109335, 13177, 13153, 28873, 10646, 107294, 106272, 100604, 19732, 37656, 105184, 20230, 113954, 103792, 55031, 38641, 9174, 827, 111707, 78349, 52884, 76706, 11883, 20230, 19653, 103792, 33, 998, 33, 114435, 29295, 5486, 55999, 33035, 39926, 103350, 124299, 103792, 100909, 198, 12, 111707, 78349, 52884, 76706, 11883, 111848, 14167, 100, 65854, 87447, 119619, 20230, 37087, 61337, 16556, 108167, 103214, 126559, 198, 12, 106793, 100, 65854, 16144, 78683, 106240, 5486, 124981, 119495, 20230, 40053, 20230, 108870, 30512, 101427, 122, 76622, 100934, 198, 12, 112828, 101275, 102669, 105838, 20230, 75146, 109669, 102334, 111234, 52884, 102669, 105838, 30512, 115541, 31431, 108048, 20230, 75146, 109669, 50834, 111234, 52884, 30512, 103768, 112167, 103792, 198, 12, 124928, 250, 52084, 123120, 113115, 106608, 56051, 47260, 108304, 119495, 30512, 108882, 110993, 112535, 80172, 17701, 103792, 198, 12, 220, 124572, 108323, 19732, 111800, 110322, 30512, 30590, 45893, 20230, 103721, 108, 31431, 104196, 15024, 5486, 23226, 106594, 103792, 198, 12, 59757, 98871, 113702, 30512, 95543, 106482, 107726, 38144, 5486, 33671, 16144, 112167, 101275, 39880, 107420, 113335, 41007, 30512, 23226, 106594, 103792, 198, 33, 998, 33, 114435, 16144, 111234, 52884, 76706, 11883, 30512, 198, 60868, 121057, 78434, 198, 567, 220, 16, 13, 111234, 52884, 15682, 30591, 47884, 17129, 72661, 103223, 64178, 16144, 115303, 59739, 19732, 15017, 231, 58942, 100934, 198, 114435, 107809, 20230, 102334, 106613, 111186, 30046, 109860, 108608, 5486, 121606, 30512, 113954, 56051, 29172, 81742, 48634, 19732, 68759, 102750, 76428, 73590, 48634, 4999, 86127, 105459, 116907, 32977, 111476, 103350, 104983, 20230, 114435, 32943, 108285, 78943, 126913, 30046, 103306, 111234, 52884, 116229, 103768, 112167, 16144, 106613, 111186, 115991, 33541, 9174, 863, 114435, 107809, 124911, 863, 103306, 19653, 56051, 106613, 111186, 32977, 30591, 104984, 5486, 107202, 8239, 112, 56051, 106613, 111186, 32977, 57903, 33541, 9174, 58426, 106613, 111186, 30512, 118544, 15024, 5486, 121568, 118482, 55031, 17905, 75267, 114435, 103296, 43240, 101275, 104091, 5486, 43240, 106045, 54872, 20230, 78183, 115926, 111234, 52884, 116229, 106391, 113638, 30512, 48154, 122521, 107726, 100481, 90620, 102532, 50834, 79721, 9174, 114435, 5486, 121606, 113468, 115517, 32977, 108901, 26854, 104984, 5486, 30832, 105888, 104067, 13153, 71289, 111681, 104482, 50338, 104662, 16144, 113009, 17663, 125231, 115789, 108901, 26854, 31431, 33541, 9174, 111234, 52884, 68759, 38248, 109, 103906, 94550, 30512, 19653, 124545, 103846, 102052, 5486, 110018, 102052, 13177, 61337, 123727, 106826, 105048, 103927, 33710, 126567, 10646, 121254, 107441, 40862, 37689, 115376, 16144, 124122, 104873, 64531, 30512, 21105, 103, 118145, 16995, 124324, 115789, 57903, 33541, 9174, 114363, 103722, 46729, 103306, 198, 29172, 81742, 48634, 19732, 68759, 102750, 76428, 73590, 123457, 102404, 127327, 15024, 5486, 122558, 46091, 107928, 16556, 126419, 117084, 32149, 105459, 20230, 78434, 9174, 17, 13, 44620, 118482, 102669, 105838, 42016, 23538, 25287, 111707, 78349, 52884, 102669, 105838, 36761, 19732, 13372, 109669, 107674, 106063, 37026, 46034, 25333, 5486, 107420, 64810, 22398, 30512, 122401, 198, 118482, 102669, 105838, 20230, 75146, 109669, 102532, 22656, 105284, 9554, 111681, 104482, 50338, 104662, 30512, 30832, 64467, 78434, 4999, 111234, 52884, 116229, 107118, 5486, 114435, 37087, 33014, 112415, 107809, 16556, 5486, 102208, 118482, 34048, 103722, 16144, 30832, 105888, 30512, 16995, 111201, 104067, 13153, 54926, 32149, 102677, 103984, 28542, 55031, 102669, 105838, 30512, 76537, 43514, 121216, 126330, 17663, 125231, 103359, 47523, 38641, 9174, 111234, 52884, 102669, 105838, 107118, 106613, 112167, 82420, 55723, 71289, 118482, 102669, 105838, 19732, 20230, 75146, 109669, 50834, 5486, 37026, 61337, 125030, 76947, 16144, 111234, 52884, 116229, 16144, 101182, 125231, 110783, 30512, 110240, 47884, 100909, 38641, 9174 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 44971, 107446, 198, 109461, 5486, 60027, 112603, 30512, 60868, 121057, 109768, 100604, 110101, 65299, 103988, 77181, 5486, 108950, 31958, 27479, 103378, 29295, 43568, 103984, 116216, 110904, 109020, 18683, 112603, 103306, 121247, 126832, 16144, 126194, 5486, 39135, 109823, 58426, 102944, 29295, 104736, 109375, 84389, 101860, 20230, 43568, 126120, 117282, 105879, 61633, 39926, 72315, 9174, 14711, 24431, 368, 19732, 126419, 20230, 124858, 15682, 116700, 118765, 198, 7101, 16144, 116700, 30512, 39926, 104533, 50834, 20230, 5486, 5484, 77181, 103268, 108950, 31958, 101983, 113017, 110115, 5486, 33002, 77181, 124858, 67016, 91774, 119841, 102677, 102321, 47523, 20230, 30591, 16995, 79721, 9174, 116292, 102800, 120266, 5486, 21027, 368, 30512, 116700, 56051, 111831, 19732, 112361, 111831, 20230, 1445, 70, 43376, 14064, 30512, 116700, 112990, 5486, 1445, 70, 43376, 14064, 29295, 17905, 20230, 16144, 42891, 126469, 103801, 16995, 5486, 103268, 108950, 31958, 105494, 29295, 91774, 58942, 103470, 109020, 117840, 1811, 26854, 105879, 115240, 29295, 103268, 108950, 31958, 16556, 100604, 48249, 31431, 15682, 5486, 124858, 115240, 15682, 126419, 20230, 116700, 103082, 107515, 10110, 127998, 26016, 30297, 30297, 30297, 9174, 5428, 25, 116700, 15682, 5486, 124858, 29295, 74482, 85791, 20230, 18904, 30369, 105933, 105879, 5486, 5484, 118816, 108056, 19732, 91774, 105262, 116233, 29295, 101832, 9174, 34758, 18, 118816, 53900, 108010, 76947, 109749, 32149, 32977, 53283, 33121, 107515, 9174, 14711, 4141, 25, 111831, 16556, 108526, 20251, 102895, 16556, 95604, 2031, 113127, 16144, 108950, 31958, 27479, 15682, 104405, 125338, 30591, 33503, 78183, 17663, 104865, 198, 17905, 16144, 116700, 16556, 24186, 39135, 16144, 2, 19222, 65, 22, 65, 16144, 103892, 20230, 108950, 31958, 27479, 30512, 21405, 17663, 9039, 112603, 30512, 47000, 118145, 5486, 57980, 16995, 102677, 109335, 78183, 102518, 16144, 119627, 5486, 108526, 20251, 102895, 16556, 116700, 103792, 108950, 31958, 27479, 2031, 113127, 30512, 845, 103130, 9039, 16556, 21405, 17663, 102052, 104405, 127564, 57980, 16995, 102677, 120266, 103892, 30512, 101128, 102, 17129, 121256, 9174, 124042, 112535, 43568, 22649, 71289, 31431, 122282, 39926, 36896, 33, 21, 66383, 95604, 9039, 112603, 30512, 121216, 79721, 29295, 5486, 111017, 31431, 102769, 33121, 101860, 20230, 109431, 40265, 117158, 56051, 105494, 107407, 105879, 5486, 16906, 111, 28741, 102052, 43240, 17620, 108010, 30297, 31195, 7, 4235, 280, 410, 30512, 15, 113127, 5486, 1785, 30512, 1041, 113127, 103306, 5486, 605, 113127, 106145, 64121, 16144, 9039, 112603, 29295, 53283, 31431, 106956, 31195, 7, 4235, 280, 43568, 22649, 71289, 31431, 111017, 76947, 845, 103130, 9039, 117271, 21405, 16556, 102867, 33503, 21105, 224, 78183, 56051, 9039, 112603, 10110, 3192, 14, 605, 28, 914, 13, 20, 60094, 240, 1627, 20230, 21105, 94, 101668, 100472, 23954, 15, 4, 47118, 242, 220, 410, 198, 605, 4, 47118, 242, 220, 16, 32, 198, 508, 4, 47118, 242, 220, 1958, 198, 966, 4, 47118, 242, 220, 19, 36, 198, 1272, 4, 47118, 242, 220, 2614, 198, 1135, 4, 47118, 242, 220, 6086, 198, 1399, 4, 47118, 242, 220, 24, 34, 198, 2031, 4, 47118, 242, 426, 21, 198, 1490, 4, 47118, 242, 423, 15, 198, 1954, 4, 47118, 242, 39462, 198, 1041, 4, 47118, 242, 31042, 198, 41758, 41758, 103836, 126101, 946, 5494, 104721, 109033, 103223, 64178, 102677, 123017, 91774, 59739, 107674, 16144, 119627, 115847, 32977, 16937, 108950, 31958, 27479, 30512, 109823, 21105, 103, 50834, 101668, 16995, 124324, 105879, 33655, 58942, 104435, 9174, 14711, 4141, 25, 111831, 16556, 61304, 43032, 30512, 56965, 108010, 107800, 31431, 5486, 57903, 119841, 9039, 112603, 30512, 17701, 104028, 19732, 124563, 112371, 32149, 103271, 16995, 111134, 68408, 38248, 115, 78205, 16073, 29295, 52563, 198, 97518, 89046, 39926, 2, 35, 15, 19732, 125639, 123207, 16995, 124324, 110229, 30512, 5486, 17129, 43514, 29295, 107290, 2, 5989, 10110, 21405, 102052, 100604, 9039, 112603, 7705, 103306, 114604, 33503, 124563, 112371, 32149, 103271, 16995, 111134, 68408, 38248, 115, 78205, 16073, 29295, 52563, 84389, 79721, 9174, 567, 19172, 118816, 45829, 31634, 72238, 103296, 37087, 38144, 108950, 103188, 39926, 114732, 105879, 5486, 124858, 102052, 33655, 119841, 198, 21388, 113529, 27452, 119627, 5486, 119869, 15682, 88852, 30512, 117811, 127564, 91774, 30926, 20230, 16325, 16144, 115240, 103296, 108950, 31958, 20230, 68423, 198, 5484, 9458, 88750, 9458, 96601, 9458, 45, 1441, 5443, 9458, 50, 60739, 16556, 52563, 88367, 26854, 103268, 108950, 31958, 34758, 14, 15968, 57933, 29220, 122842, 1389, 45056, 68408, 126590, 426, 7391, 198, 102717, 19732, 124592, 16144, 110101, 65299, 103988, 16556, 124858, 16144, 103268, 108950, 31958, 33208, 30512, 88367, 117657, 34758, 109823, 765, 12790, 33328, 198, 15682, 17129, 43514, 108056, 32977, 16995, 113017, 104466, 21213, 118816, 45829, 31634, 72238, 103296, 37087, 38144, 108950, 103188, 39926, 103801, 61689, 9174, 34758, 16556, 103268, 108950, 31958, 5486, 21213, 19732, 21027, 16144, 121953, 1389, 220, 109416, 47884, 15682, 17129, 43514, 108056, 6447, 7, 73387, 7304, 340, 72958, 51330, 77219, 91774, 28713, 100909, 105693, 105272, 29295, 5486, 17663, 42891, 107277, 112727, 106824, 28713, 9174, 14711, 44714, 95, 107290, 124858, 121142, 103470, 37087, 38144, 30512, 108950, 32149, 39926, 64121, 30369, 10110, 679, 12879, 975, 104862, 61304, 23954, 58426, 126513, 51330, 122481, 30512, 121846, 20230, 9174, 37087, 38144, 16144, 110101, 65299, 103988, 113115, 106608, 56051, 5254, 105335, 106696, 57207, 84477, 16144, 108950, 31958, 5486, 103268, 108950, 31958, 16144, 124858, 116700, 30512, 61304, 43032, 54926, 765, 20394, 20230, 14783, 28508, 5446, 650, 18, 106609, 27452, 15682, 5313, 16556, 107188, 31431, 22398, 102663, 22398, 102663, 105321, 119627, 5486, 2721, 104699, 110706, 20230, 126693, 5486, 68408, 126590, 113468, 15682, 110924, 110924, 33655, 58942, 102131, 107188, 106046, 61689, 9174, 85701, 118816, 22398, 110305, 64178, 110590, 15682, 37087, 108950, 76622, 16556, 124858, 19732, 112361, 115240, 115717, 33541, 57980, 106609, 6884, 25, 674, 14424, 26, 4141, 25, 7288, 17534, 4107, 28, 2721, 1237, 482, 47617, 69159, 25, 15, 13, 2721, 26, 482, 74, 1580, 69159, 25, 220, 15, 13, 2721, 26, 19172, 25, 15, 13, 2721, 26, 457, 14711, 123485, 16144, 121846, 77219, 198, 21027, 16556, 112825, 110904, 20230, 5254, 116771, 16144, 103268, 108950, 31958, 16144, 124858, 29295, 103350, 99741, 103082, 28713, 1389, 122827, 126594, 77750, 102040, 48552, 271, 51330, 24273, 32977, 124042, 112535, 32149, 58942, 32131, 103672, 16144, 71289, 31431, 24273, 16556, 120175, 100815, 119188, 116233, 29295, 111476, 43511, 105352, 39135, 104680, 121846, 116974, 29295, 107121, 76947, 61689, 9174, 53900, 115364, 117501, 77181, 114140, 39926, 100604, 454, 2473, 77181, 103350, 99741, 103082, 104435, 102677, 61304, 43032, 115991, 33541, 1811, 128001, 128000, 567, 41766, 250, 16325, 16144, 20251, 25197, 44971, 198, 13177, 45829, 67645, 102944, 119400, 20230, 116898, 111201, 119515, 107188, 109739, 102802, 16144, 82973, 30512, 30358, 101832, 38144, 105898, 32149, 10646, 29295, 5486, 101523, 227, 48634, 101182, 119436, 30512, 101662, 13153, 54926, 103846, 112028, 118821, 27384, 112495, 112258, 113, 115717, 33541, 109807, 109739, 102802, 107118, 5486, 48915, 109739, 102802, 15682, 53508, 123, 105242, 16144, 30926, 5486, 109683, 20230, 109835, 106824, 102404, 91774, 54926, 109739, 102802, 71289, 5486, 114225, 110924, 117083, 9080, 40053, 16144, 102944, 30512, 99849, 72661, 45893, 77913, 116446, 109739, 103854, 30369, 13177, 109739, 102802, 117503, 100909, 38641, 1811, 126574, 33334, 35330, 30512, 124237, 76947, 109739, 104369, 57933, 108941, 80805, 105048, 16144, 109739, 102802, 71289, 5486, 114567, 16144, 109739, 102802, 77181, 124897, 107030, 29295, 46729, 77181, 5486, 67645, 103171, 101426, 32977, 109739, 102802, 16144, 45893, 77913, 116446, 103801, 61689, 9174, 103309, 126867, 20251, 25197, 44971, 20230, 72718, 50834, 30369, 112973, 9080, 40053, 117084, 103801, 103836, 127880, 37026, 110362, 77181, 5486, 103309, 16325, 16144, 20251, 25197, 44971, 16144, 101426, 15682, 107693, 38641, 1811, 103293, 30832, 112854, 109315, 113009, 101402, 107873, 16144, 101426, 29295, 109215, 26854, 109335, 114652, 15024, 125398, 100909, 38641, 109900, 19732, 112361, 16556, 5486, 81258, 121120, 107113, 126101, 20251, 25197, 44971, 120650, 76947, 109215, 71689, 16144, 31958, 30369, 30813, 29295, 30832, 109156, 104533, 5486, 112854, 115889, 39926, 103801, 61689, 1811, 113702, 106116, 123470, 113136, 120379, 16144, 105284, 29295, 120175, 38144, 114732, 16449, 102677, 100909, 115717, 33541, 113637, 108882, 64121, 30358, 101832, 29295, 102971, 106391, 33014, 20230, 103672, 103857, 109229, 42634, 115247, 104466, 126120, 102532, 50834, 33541, 9174, 107943, 114667, 32977, 57903, 5486, 37046, 29295, 46729, 16144, 20251, 25197, 44971, 77181, 11881, 120, 11883, 5486, 103309, 16325, 11883, 16144, 102867, 31958, 30512, 11883, 37689, 127145, 1811, 11881, 120, 56965, 15682, 113614, 116696, 48552, 16144, 103846, 17905, 117758, 101426, 107407, 19732, 103424, 117714, 119627, 5486, 103309, 16325, 15682, 56965, 30177, 102867, 31958, 16556, 114392, 38641, 113637, 41920, 59739, 29295, 30591, 104984, 5486, 37507, 65854, 125344, 114715, 25132, 108, 116310, 95221, 30512, 118158, 16995, 39177, 32977, 38129, 125545, 109807, 17620, 20251, 25197, 44971, 16556, 91774, 30369, 101426, 16144, 104346, 86354, 29295, 105104, 105262, 32149, 110241, 33121, 107515, 107030, 29295, 46729, 77181, 5486, 99695, 113390, 25005, 249, 33710, 126567, 16556, 95543, 105644, 56051, 101426, 29295, 105469, 101559, 58911, 16144, 104346, 86354, 126694, 76947, 120700, 79721, 1811, 128001, 128000, 19653, 103792, 33, 998, 33, 114435, 15682, 99849, 30512, 103792, 32149, 95532, 111234, 52884, 76706, 11883, 20230, 19653, 110731, 114435, 15682, 111476, 111234, 52884, 116229, 126694, 30369, 123628, 13177, 102669, 105838, 105226, 23187, 66383, 19967, 100472, 123470, 13177, 103768, 112167, 10646, 33014, 44416, 106391, 113638, 20230, 30358, 50834, 30512, 22324, 102532, 61689, 109900, 15682, 5486, 112828, 101275, 102669, 105838, 71289, 37823, 118331, 38248, 95, 33710, 109713, 64810, 57326, 20251, 16144, 23187, 104577, 110214, 20230, 101275, 30046, 102416, 113692, 80172, 102639, 54926, 100909, 71289, 111707, 78349, 52884, 116229, 126694, 100472, 50834, 31431, 124572, 108323, 32977, 121697, 101860, 5486, 111800, 110322, 32977, 23226, 106594, 32977, 21105, 103, 16995, 109335, 13177, 13153, 28873, 10646, 107294, 106272, 100604, 19732, 37656, 105184, 20230, 113954, 103792, 55031, 38641, 9174, 827, 111707, 78349, 52884, 76706, 11883, 20230, 19653, 103792, 33, 998, 33, 114435, 29295, 5486, 55999, 33035, 39926, 103350, 124299, 103792, 100909, 198, 12, 111707, 78349, 52884, 76706, 11883, 111848, 14167, 100, 65854, 87447, 119619, 20230, 37087, 61337, 16556, 108167, 103214, 126559, 198, 12, 106793, 100, 65854, 16144, 78683, 106240, 5486, 124981, 119495, 20230, 40053, 20230, 108870, 30512, 101427, 122, 76622, 100934, 198, 12, 112828, 101275, 102669, 105838, 20230, 75146, 109669, 102334, 111234, 52884, 102669, 105838, 30512, 115541, 31431, 108048, 20230, 75146, 109669, 50834, 111234, 52884, 30512, 103768, 112167, 103792, 198, 12, 124928, 250, 52084, 123120, 113115, 106608, 56051, 47260, 108304, 119495, 30512, 108882, 110993, 112535, 80172, 17701, 103792, 198, 12, 220, 124572, 108323, 19732, 111800, 110322, 30512, 30590, 45893, 20230, 103721, 108, 31431, 104196, 15024, 5486, 23226, 106594, 103792, 198, 12, 59757, 98871, 113702, 30512, 95543, 106482, 107726, 38144, 5486, 33671, 16144, 112167, 101275, 39880, 107420, 113335, 41007, 30512, 23226, 106594, 103792, 198, 33, 998, 33, 114435, 16144, 111234, 52884, 76706, 11883, 30512, 198, 60868, 121057, 78434, 198, 567, 220, 16, 13, 111234, 52884, 15682, 30591, 47884, 17129, 72661, 103223, 64178, 16144, 115303, 59739, 19732, 15017, 231, 58942, 100934, 198, 114435, 107809, 20230, 102334, 106613, 111186, 30046, 109860, 108608, 5486, 121606, 30512, 113954, 56051, 29172, 81742, 48634, 19732, 68759, 102750, 76428, 73590, 48634, 4999, 86127, 105459, 116907, 32977, 111476, 103350, 104983, 20230, 114435, 32943, 108285, 78943, 126913, 30046, 103306, 111234, 52884, 116229, 103768, 112167, 16144, 106613, 111186, 115991, 33541, 9174, 863, 114435, 107809, 124911, 863, 103306, 19653, 56051, 106613, 111186, 32977, 30591, 104984, 5486, 107202, 8239, 112, 56051, 106613, 111186, 32977, 57903, 33541, 9174, 58426, 106613, 111186, 30512, 118544, 15024, 5486, 121568, 118482, 55031, 17905, 75267, 114435, 103296, 43240, 101275, 104091, 5486, 43240, 106045, 54872, 20230, 78183, 115926, 111234, 52884, 116229, 106391, 113638, 30512, 48154, 122521, 107726, 100481, 90620, 102532, 50834, 79721, 9174, 114435, 5486, 121606, 113468, 115517, 32977, 108901, 26854, 104984, 5486, 30832, 105888, 104067, 13153, 71289, 111681, 104482, 50338, 104662, 16144, 113009, 17663, 125231, 115789, 108901, 26854, 31431, 33541, 9174, 111234, 52884, 68759, 38248, 109, 103906, 94550, 30512, 19653, 124545, 103846, 102052, 5486, 110018, 102052, 13177, 61337, 123727, 106826, 105048, 103927, 33710, 126567, 10646, 121254, 107441, 40862, 37689, 115376, 16144, 124122, 104873, 64531, 30512, 21105, 103, 118145, 16995, 124324, 115789, 57903, 33541, 9174, 114363, 103722, 46729, 103306, 198, 29172, 81742, 48634, 19732, 68759, 102750, 76428, 73590, 123457, 102404, 127327, 15024, 5486, 122558, 46091, 107928, 16556, 126419, 117084, 32149, 105459, 20230, 78434, 9174, 17, 13, 44620, 118482, 102669, 105838, 42016, 23538, 25287, 111707, 78349, 52884, 102669, 105838, 36761, 19732, 13372, 109669, 107674, 106063, 37026, 46034, 25333, 5486, 107420, 64810, 22398, 30512, 122401, 198, 118482, 102669, 105838, 20230, 75146, 109669, 102532, 22656, 105284, 9554, 111681, 104482, 50338, 104662, 30512, 30832, 64467, 78434, 4999, 111234, 52884, 116229, 107118, 5486, 114435, 37087, 33014, 112415, 107809, 16556, 5486, 102208, 118482, 34048, 103722, 16144, 30832, 105888, 30512, 16995, 111201, 104067, 13153, 54926, 32149, 102677, 103984, 28542, 55031, 102669, 105838, 30512, 76537, 43514, 121216, 126330, 17663, 125231, 103359, 47523, 38641, 9174, 111234, 52884, 102669, 105838, 107118, 106613, 112167, 82420, 55723, 71289, 118482, 102669, 105838, 19732, 20230, 75146, 109669, 50834, 5486, 37026, 61337, 125030, 76947, 16144, 111234, 52884, 116229, 16144, 101182, 125231, 110783, 30512, 110240, 47884, 100909, 38641, 9174 ]
[ 59739, 109709, 5486, 114435, 37087, 33014, 16144, 102669, 105838, 5486, 118482, 82420, 55723, 120938, 20230, 13153, 31431, 80195, 59739, 102944, 38641, 9174, 118789, 109904, 114435, 112415, 16144, 37087, 33014, 19732, 19361, 101513, 112535, 102971, 102802, 59739, 50834, 5486, 118482, 16144, 13153, 101544, 20230, 80631, 95, 112500, 54926, 103846, 111476, 106613, 112167, 82420, 55723, 71289, 118482, 82420, 55723, 19732, 42016, 23538, 56051, 111234, 52884, 102669, 105838, 30512, 106391, 113638, 78434, 118855, 5486, 104195, 64121, 19732, 111800, 52084, 86206, 16144, 68759, 108981, 94550, 30512, 33035, 39926, 118482, 16144, 124957, 33208, 5486, 104364, 103283, 33208, 30512, 15682, 107277, 33541, 9174, 567, 220, 18, 13, 44620, 14167, 100, 65854, 15682, 112832, 32149, 36761, 30512, 100990, 123, 28741, 20230, 23187, 104577, 15024, 5486, 111234, 52884, 116229, 16144, 101182, 125231, 110783, 30512, 110240, 47884, 198, 14167, 100, 65854, 103984, 28542, 20230, 118013, 36896, 102669, 105838, 10646, 120740, 13177, 103768, 11883, 10646, 30358, 103984, 16556, 113173, 104067, 13153, 16144, 124122, 46034, 38574, 30512, 104908, 0, 106982, 38248, 109, 103906, 94550, 107118, 13177, 14167, 100, 65854, 110792, 116690, 30512, 113638, 102532, 102404, 77413, 124545, 100909, 10646, 38641, 9174, 13177, 14167, 100, 65854, 15682, 112832, 32149, 91006, 55031, 105335, 84477, 15024, 36896, 86127, 127282, 14167, 100, 65854, 16144, 111681, 104482, 10110, 78683, 106240, 7705, 30512, 67645, 119775, 50338, 104662, 108608, 104865, 91006, 30512, 115541, 31431, 74245, 15024, 36896, 58426, 113009, 111234, 52884, 38641, 125231, 100909, 19732, 5486, 127177, 46034, 38574, 38641, 125231, 109335, 127091, 91006, 30512, 104662, 107436, 89046, 120988, 21105, 103, 29295, 33503, 39880, 122131, 30512, 125119, 109768, 47884, 105908, 27384, 30926, 38641, 9174, 13177, 103223, 64178, 71289, 46034, 25333, 57903, 50834, 16144, 111234, 52884, 102669, 105838, 66383, 95604, 102404, 101067, 15682, 56965, 108010, 117201, 5486, 111234, 52884, 116229, 15682, 14167, 100, 65854, 19732, 114435, 125334, 38093, 16995, 5486, 59739, 105722, 30369, 124122, 30177, 28542, 10110, 109933, 100560, 235, 33710, 120732, 115303, 59739, 103306, 71634, 111672, 11972, 30512, 110240, 47884, 105908, 27384, 30926, 38641, 9174, 111234, 52884, 68759, 38248, 109, 103906, 94550, 112415, 102677, 104468, 5486, 17129, 30813, 106624, 115173, 125135, 32977, 43032, 103854, 100934, 13177, 14167, 100, 65854, 16144, 109832, 67178, 117503, 124122, 107420, 64810, 22398, 38641, 9174, 13177, 14167, 100, 65854, 16144, 109832, 67178, 117503, 124122, 68759, 38248, 109, 103906, 94550, 112415, 30512, 37026, 60632, 60632, 127177, 22649, 104611, 20230, 75146, 109669, 102532, 33334, 46034, 108044, 16995, 78434, 9174, 567, 220, 19, 13, 121606, 109203, 64889, 109904, 111234, 52884, 124180, 109669, 47884, 112586, 55487, 101557, 106, 56051, 107420, 109531, 110548, 116748, 198, 126913, 30046, 101662, 13153, 71289, 61337, 32943, 101335, 65299, 102040, 65299, 105623, 226, 108882, 30512, 30358, 103984, 56051, 107420, 109531, 110548, 116748, 16556, 198, 120321, 106307, 112535, 76706, 11883, 54926, 124122, 107879, 226, 111887, 109669, 47884, 31431, 30512, 60868, 121057, 4999, 102433, 102052, 112185, 5486, 111234, 52884, 116229, 16144, 103768, 11883, 71289, 37823, 57933, 32131, 120404, 30512, 114363, 103722, 112535, 100927, 105262, 104378, 101513, 97518, 15682, 83747, 103470, 5486, 43240, 119064, 17792, 103234, 29295, 111234, 52884, 108134, 102669, 105838, 114556, 39926, 15682, 107420, 77181, 124897, 127211, 114435, 127303, 104984, 114363, 103722, 34048, 113112, 115991, 5486, 110924, 20230, 43240, 119064, 101335, 65299, 102040, 65299, 29295, 105623, 226, 108882, 127145, 29295, 108048, 72661, 112185, 112185, 46034, 106767, 31431, 26854, 121894, 29295, 106307, 102532, 61689, 9174, 111234, 52884, 116229, 15682, 23891, 5158, 103768, 11883, 23226, 106594, 30512, 103721, 108, 31431, 104196, 39926, 127105, 5486, 13153, 28873, 30512, 109415, 106307, 105784, 105908, 125545, 9174, 58426, 103846, 102052, 5486, 111234, 52884, 114835, 108695, 20230, 113692, 80172, 102639, 54926, 16144, 126194, 111476, 61337, 32943, 16556, 101662, 13153, 17663, 125231, 17792, 103234, 19732, 48915, 26130, 17663, 125231, 114363, 103722, 108761, 103438, 30512, 118482, 106045, 54872, 71289, 44915, 20230, 30591, 110027, 38144, 109431, 102769, 20230, 122225, 54926, 118733, 69978, 106307, 112535, 13153, 101544, 108608, 33014, 44416, 30512, 106391, 113638, 54926, 105908, 27384, 102769, 38641, 1811, 113170, 71289, 19732, 31431, 15682, 61337, 32943, 111363, 101335, 65299, 102040, 65299, 105623, 226, 108882, 30512, 30358, 103984, 56051, 111234, 52884, 106391, 113638, 107420, 109531, 110548, 30250, 224, 23039, 19732, 120321, 106307, 109904, 111234, 52884, 126913, 101662, 13153, 57326, 77750, 32131, 91062, 16556, 111234, 52884, 68759, 38248, 109, 103906, 94550, 76706, 34171, 33208, 30512, 48154, 122521, 78434, 1811, 128001, 128000, 37271, 103296, 20230, 602, 20122, 3714, 97718, 87177, 76947, 102181, 102334, 100909, 43568, 102518, 26854, 9174, 117876, 104309, 16556, 110745, 33857, 16144, 119526, 29295, 109215, 108176, 105908, 101182, 9174, 119526, 60868, 108969, 33710, 29295, 111654, 67016, 100472, 31431, 5486, 109242, 9039, 34048, 20230, 17620, 111017, 103646, 37823, 104774, 44971, 107446, 30512, 46034, 24186, 121960, 33334, 105898, 102518, 31431, 9174, 27384, 116875, 15682, 5486, 58457, 113699, 99959, 115691, 42634, 65575, 54926, 9174, 85701, 15682, 5486, 19360, 21370, 248, 78767, 30512, 113692, 48154, 19732, 99959, 115691, 42634, 65575, 54926, 124122, 103223, 64178, 9174, 19732, 101182, 122481, 30512, 72718, 28542, 20230, 5486, 110924, 55031, 46702, 18904, 16144, 107167, 48552, 16556, 28037, 104067, 108608, 119318, 116310, 15682, 86348, 115181, 54926, 5486, 110162, 5486, 18458, 122827, 106696, 20230, 48249, 76947, 115181, 54926, 5486, 110162, 5486, 3222, 97718, 103857, 44971, 110548, 37823, 106090, 114050, 29295, 17297, 25129, 16144, 105494, 116771, 115181, 54926, 5486, 110162, 116898, 85791, 16995, 85791, 26854, 77195, 116825, 107441, 99959, 115691, 42634, 65575, 108608, 9174, 85701, 16556, 27384, 116875, 16144, 19967, 101275, 15682, 47406, 35287, 54926, 9174, 72661, 5486, 39177, 104680, 65608, 220, 77181, 115181, 118765, 105908, 101182, 105272, 9174, 108895, 95604, 103223, 64178, 16556, 73686, 42891, 22957, 113487, 32149, 104028, 106592, 115389, 29295, 30369, 104865, 5486, 110101, 65299, 103988, 106053, 103283, 71289, 12829, 220, 111848, 15120, 39177, 62903, 115247, 102404, 23039, 104309, 124905, 76947, 5486, 99959, 115691, 42634, 65575, 118765, 104466, 39926, 101182, 122481, 15682, 5486, 102971, 106391, 48706, 54926, 9174, 28713, 19732, 116285, 5486, 86, 18, 76, 95371, 33655, 30297, 5486, 102677, 41007, 32977, 101182, 9174, 85701, 15682, 13177, 104721, 26854, 110101, 65299, 103988, 10646, 77181, 101182, 29295, 5486, 108056, 114267, 110101, 65299, 103988, 36785, 1811, 16634, 220, 120885, 33655, 105262, 9174, 58426, 15120, 24273, 16556, 5486, 86, 18, 76, 108295, 13177, 103223, 64178, 10646, 72661, 101182, 9174, 99959, 115691, 42634, 65575, 56051, 119526, 16144, 47585, 32977, 109823, 108608, 15024, 5486, 66953, 108981, 103350, 23039, 29295, 88367, 36785, 9174, 80673, 5486, 60358, 8107, 32952, 108911, 76706, 11883, 107001, 101200, 115717, 5486, 86, 18, 76, 108295, 48634, 127242, 110276, 9174, 86, 18, 76, 220, 77181, 36810, 108911, 17129, 107173, 20230, 91875, 126660, 105272, 9174, 102677, 113334, 16556, 120955, 54926, 112973, 5486, 72, 20122, 3714, 9174, 85701, 15682, 107188, 31431, 104195, 48634, 26854, 103223, 64178, 36785, 9174, 102083, 114598, 5486, 33655, 30297, 109335, 20713, 116033, 20713, 27479, 101182, 126660, 32149, 1811, 110219, 15682, 65608, 113699, 114392, 109860, 9174, 26854, 105879, 5486, 33655, 30297, 110018, 103378, 106839, 17701, 39926, 5486, 33655, 16995, 105721, 78183, 100472, 33503, 113164, 76171, 71634, 64178, 39926, 114732, 105908, 127181, 9174, 72, 20122, 3714, 108295, 5486, 5484, 5486, 88750, 5486, 50170, 220, 104309, 116898, 47884, 59739, 116421, 110101, 65299, 103988, 16556, 38129, 108608, 125540, 41758, 76171, 36785, 9174, 125821, 32977, 5486, 33002, 126433, 15682, 112185, 122401, 108968, 17905, 16556, 121432, 29295, 83747, 100604, 9174, 37087, 121432, 29295, 111654, 102800, 105110, 18657, 126433, 29295, 57980, 16995, 120900, 107493, 5486, 112418, 15682, 27018, 126433, 124905, 30297, 105908, 127181, 9174, 16556, 5486, 72, 20122, 3714, 113699, 99849, 29295, 108608, 32149, 19732, 112844, 19732, 5486, 120613, 16144, 19732, 108086, 68759, 110305, 30512, 103214, 109315, 9174, 120267, 109033, 58942, 104984, 5486, 110101, 65299, 103988, 16144, 41190, 30512, 115681, 33208, 108608, 9174, 68759, 110305, 126694, 30369, 104468, 112825, 110904, 36785, 9174, 13177, 793, 24801, 10646, 103672, 127065, 30512, 110408, 39926, 61304, 108565, 121894, 20230, 127564, 5486, 105994, 16556, 68759, 115474, 104309, 124905, 76947, 110101, 65299, 103988, 41190, 54926, 103378, 9174, 85701, 16556, 110745, 116875, 16144, 91875, 19967, 15682, 112854, 107290, 124089, 9174, 109242, 122202, 26854, 106592, 56051, 16995, 107803, 72661, 5486, 115681, 61304, 108565, 16556, 25132, 249, 83799, 126694, 76947, 33334, 102532, 5486, 23951, 37656, 54926, 118733, 112825, 110904, 20230, 113173, 30512, 104067, 13153, 108608, 9174, 80673, 115847, 103378, 118816, 90620, 16144, 13177, 115681, 33208, 102741, 112508, 10646, 20230, 103188, 105557, 100604, 9174, 72, 20122, 3714, 97718, 22656, 108761, 15682, 5486, 5959, 97718, 41190, 121432, 117083, 9174, 5959, 95371, 37656, 106045, 21405, 102321, 16556, 111800, 52084, 15024, 5486, 91774, 126268, 118158, 103359, 47523, 113115, 39926, 39880, 122131, 30512, 103350, 23039, 108608, 9174, 28713, 19732, 116285, 5486, 66378, 23187, 16144, 5665, 110138, 102514, 16073, 114792, 59739, 115240, 104088, 126268, 121216, 5486, 47585, 56051, 31431, 108608, 9174, 51330, 110018, 36896, 47585, 10646, 15682, 5486, 110101, 65299, 103988, 16144, 47585, 121432, 30512, 105324, 102802, 121406, 113334, 111769, 5486, 102677, 112973, 101198, 102741, 36785, 9174, 72, 20122, 3714, 108295, 110101, 65299, 103988, 16144, 91875, 19967, 30512, 115681, 33208, 54926, 102741, 112508, 109846, 5486, 106063, 37026, 16144, 91875, 19967, 32977, 69978, 103836, 105272, 9174, 13177, 47585, 10646, 117824, 30297, 19732, 108149, 33503, 32149, 100204, 62004, 109823, 39926, 101182, 103857, 44971, 110548, 37823, 113115, 15024, 108149, 33503, 32149, 100204, 62004, 109823, 56051, 31091, 16556, 10110, 32977, 106624, 15682, 5486, 99959, 115691, 42634, 65575, 5665, 106004, 96412, 17129, 103468, 31091, 16556, 65459, 17663, 16556, 20230, 99959, 115691, 42634, 65575, 56051, 107391, 116219, 119526, 30512, 47585, 54926, 9174, 88356, 99959, 115691, 42634, 65575, 15682, 109215, 100604, 105879, 5486, 118322, 112772, 101182, 119526, 30512, 105184, 103350, 20230, 47585, 108608, 9174, 10110, 127749, 113468, 15682, 5486, 37823, 42634, 65575, 118765, 122481, 19732, 112844, 123017, 48706, 54926, 105272, 23954, 5959, 95371, 109467, 41190, 103792, 105879, 36896, 65917, 107167, 48552, 16556, 47585, 118587, 15533, 116474, 32952, 95371, 125894, 33655, 39926, 124260, 103792, 105933, 107803, 72661, 47585, 29295, 88367, 36785, 9174, 1981, 124260, 103792, 102944, 30512, 88367, 117657, 105272, 55031, 5486, 102700, 58521, 16144, 37689, 70141, 107118, 108010, 30297, 106592, 103792, 32149, 121061, 109335, 111140, 20230, 104650, 107436, 33334, 108895, 9174, 110382, 55031, 114715, 5486, 72, 20122, 3714, 97718, 87177, 126194, 5486, 25333, 109904, 87177, 108176, 9174, 72, 20122, 3714, 95371, 33655, 116285, 36896, 112113, 9554, 102052, 10646, 119526, 16144, 99959, 115691, 42634, 65575, 47585, 29295, 88367, 117282, 32149, 121061, 9174, 80673, 5486, 112113, 112535, 88367, 109860, 47585, 39926, 57980, 118544, 19732, 78244, 116285, 121906, 111769, 9174, 119526, 16144, 107740, 77195, 30512, 114652, 98499, 64121, 5486, 99959, 115691, 42634, 65575, 124260, 19732, 31958, 20379, 84389, 126386, 107803, 20230, 116771, 5486, 47585, 29295, 110008, 84389, 104533, 78698, 107290, 57980, 16995, 108995, 9174, 16906, 111, 28741, 26854, 106592, 78244, 116285, 36896, 99959, 115691, 42634, 65575, 124260, 66383, 105037, 111, 103836, 45056, 106773, 78983, 122291, 103306, 106116, 124260, 40089, 105904, 37026, 33014, 16144, 19361, 126120, 34171, 102052, 107750, 99397, 107407, 9174, 19360, 97718, 106548, 103214, 64121, 19732, 112844, 104468, 5486, 119526, 30512, 99959, 115691, 42634, 65575, 39926, 34273, 110, 111182, 124545, 102944, 109860, 36785, 9174, 59739, 109709, 5486, 19360, 106004, 19012, 110, 20379, 103792, 39177, 28542, 16556, 99959, 115691, 42634, 65575, 30512, 110008, 31540, 103792, 100909, 115717, 36896, 124260, 66383, 31958, 20379, 54926, 120266, 115552, 29295, 43568, 16995, 9174, 80673, 5486, 106045, 103664, 19732, 112844, 104468, 31958, 106581, 103646, 102944, 77181, 101182, 29295, 5486, 14276, 241, 45829, 23187, 106045, 20230, 50338, 13393, 230, 54926, 102944, 111769, 9174, 99959, 115691, 42634, 65575, 29295, 25580, 29172, 103195, 45056, 113699, 13177, 99959, 115691, 42634, 65575, 124260, 66383, 102181, 102532, 101182, 105272, 114267, 33503, 5486, 19360, 113699, 34273, 110, 111182, 54926, 71689, 16144, 99959, 115691, 42634, 65575, 23039, 101399, 1981, 31958, 20379, 9554, 5486, 32149, 59739, 105243, 106307, 112535, 88356, 107740, 54926, 124122, 104774, 106696, 47585, 30512, 108493, 100204, 100934, 19732, 78698, 105262, 125231, 108995, 9174, 51330, 107803, 5486, 110101, 65299, 103988, 29295, 13177, 39850, 102494, 37823, 17905, 20230, 10646, 99959, 115691, 42634, 65575, 39926, 34273, 110, 111182, 124545, 100909, 71289, 36896, 111573, 112535, 10646, 107391, 116219, 104774, 106696, 30512, 108618, 17663, 109335, 21418, 48915, 107001, 9174, 59739, 109709, 5486, 108936, 109904, 99750, 112854, 122692, 13177, 99959, 115691, 42634, 65575, 10646, 127105, 29295, 5486, 106045, 103664, 103306, 31958, 20379, 103646, 13177, 99959, 115691, 42634, 65575, 10646, 20230, 109638, 40265, 54926, 113334, 36785, 9174, 116900, 20230, 78244, 116285, 5486, 99959, 115691, 42634, 65575, 30512, 108493, 100204, 38144, 15682, 33334, 121140, 5486, 103283, 16144, 40089, 105904, 1981, 25963, 33671, 107740, 16144, 124260, 71289, 88356, 55487, 52927, 16144, 124260, 29295, 23187, 62004, 125398, 126513, 5486, 105994, 116907, 29295, 30591, 19732, 16556, 88356, 27479, 126229, 54926, 113009, 46034, 24186, 20230, 119526, 30512, 108618, 17663, 109335, 108493, 100204, 102204, 126386, 114318, 78698, 107290, 57980, 16995, 108995, 9174, 10110, 99959, 115691, 42634, 65575, 88367, 103195, 106592, 25580, 29172, 19732, 21105, 103, 47884, 38144, 15682, 5486, 25963, 33671, 107740, 71289, 88356, 55487, 52927, 16144, 124260, 20230, 115552, 29295, 43568, 16995, 23954, 107173, 32149, 47884, 5486, 119526, 102700, 58521 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 59739, 109709, 5486, 114435, 37087, 33014, 16144, 102669, 105838, 5486, 118482, 82420, 55723, 120938, 20230, 13153, 31431, 80195, 59739, 102944, 38641, 9174, 118789, 109904, 114435, 112415, 16144, 37087, 33014, 19732, 19361, 101513, 112535, 102971, 102802, 59739, 50834, 5486, 118482, 16144, 13153, 101544, 20230, 80631, 95, 112500, 54926, 103846, 111476, 106613, 112167, 82420, 55723, 71289, 118482, 82420, 55723, 19732, 42016, 23538, 56051, 111234, 52884, 102669, 105838, 30512, 106391, 113638, 78434, 118855, 5486, 104195, 64121, 19732, 111800, 52084, 86206, 16144, 68759, 108981, 94550, 30512, 33035, 39926, 118482, 16144, 124957, 33208, 5486, 104364, 103283, 33208, 30512, 15682, 107277, 33541, 9174, 567, 220, 18, 13, 44620, 14167, 100, 65854, 15682, 112832, 32149, 36761, 30512, 100990, 123, 28741, 20230, 23187, 104577, 15024, 5486, 111234, 52884, 116229, 16144, 101182, 125231, 110783, 30512, 110240, 47884, 198, 14167, 100, 65854, 103984, 28542, 20230, 118013, 36896, 102669, 105838, 10646, 120740, 13177, 103768, 11883, 10646, 30358, 103984, 16556, 113173, 104067, 13153, 16144, 124122, 46034, 38574, 30512, 104908, 0, 106982, 38248, 109, 103906, 94550, 107118, 13177, 14167, 100, 65854, 110792, 116690, 30512, 113638, 102532, 102404, 77413, 124545, 100909, 10646, 38641, 9174, 13177, 14167, 100, 65854, 15682, 112832, 32149, 91006, 55031, 105335, 84477, 15024, 36896, 86127, 127282, 14167, 100, 65854, 16144, 111681, 104482, 10110, 78683, 106240, 7705, 30512, 67645, 119775, 50338, 104662, 108608, 104865, 91006, 30512, 115541, 31431, 74245, 15024, 36896, 58426, 113009, 111234, 52884, 38641, 125231, 100909, 19732, 5486, 127177, 46034, 38574, 38641, 125231, 109335, 127091, 91006, 30512, 104662, 107436, 89046, 120988, 21105, 103, 29295, 33503, 39880, 122131, 30512, 125119, 109768, 47884, 105908, 27384, 30926, 38641, 9174, 13177, 103223, 64178, 71289, 46034, 25333, 57903, 50834, 16144, 111234, 52884, 102669, 105838, 66383, 95604, 102404, 101067, 15682, 56965, 108010, 117201, 5486, 111234, 52884, 116229, 15682, 14167, 100, 65854, 19732, 114435, 125334, 38093, 16995, 5486, 59739, 105722, 30369, 124122, 30177, 28542, 10110, 109933, 100560, 235, 33710, 120732, 115303, 59739, 103306, 71634, 111672, 11972, 30512, 110240, 47884, 105908, 27384, 30926, 38641, 9174, 111234, 52884, 68759, 38248, 109, 103906, 94550, 112415, 102677, 104468, 5486, 17129, 30813, 106624, 115173, 125135, 32977, 43032, 103854, 100934, 13177, 14167, 100, 65854, 16144, 109832, 67178, 117503, 124122, 107420, 64810, 22398, 38641, 9174, 13177, 14167, 100, 65854, 16144, 109832, 67178, 117503, 124122, 68759, 38248, 109, 103906, 94550, 112415, 30512, 37026, 60632, 60632, 127177, 22649, 104611, 20230, 75146, 109669, 102532, 33334, 46034, 108044, 16995, 78434, 9174, 567, 220, 19, 13, 121606, 109203, 64889, 109904, 111234, 52884, 124180, 109669, 47884, 112586, 55487, 101557, 106, 56051, 107420, 109531, 110548, 116748, 198, 126913, 30046, 101662, 13153, 71289, 61337, 32943, 101335, 65299, 102040, 65299, 105623, 226, 108882, 30512, 30358, 103984, 56051, 107420, 109531, 110548, 116748, 16556, 198, 120321, 106307, 112535, 76706, 11883, 54926, 124122, 107879, 226, 111887, 109669, 47884, 31431, 30512, 60868, 121057, 4999, 102433, 102052, 112185, 5486, 111234, 52884, 116229, 16144, 103768, 11883, 71289, 37823, 57933, 32131, 120404, 30512, 114363, 103722, 112535, 100927, 105262, 104378, 101513, 97518, 15682, 83747, 103470, 5486, 43240, 119064, 17792, 103234, 29295, 111234, 52884, 108134, 102669, 105838, 114556, 39926, 15682, 107420, 77181, 124897, 127211, 114435, 127303, 104984, 114363, 103722, 34048, 113112, 115991, 5486, 110924, 20230, 43240, 119064, 101335, 65299, 102040, 65299, 29295, 105623, 226, 108882, 127145, 29295, 108048, 72661, 112185, 112185, 46034, 106767, 31431, 26854, 121894, 29295, 106307, 102532, 61689, 9174, 111234, 52884, 116229, 15682, 23891, 5158, 103768, 11883, 23226, 106594, 30512, 103721, 108, 31431, 104196, 39926, 127105, 5486, 13153, 28873, 30512, 109415, 106307, 105784, 105908, 125545, 9174, 58426, 103846, 102052, 5486, 111234, 52884, 114835, 108695, 20230, 113692, 80172, 102639, 54926, 16144, 126194, 111476, 61337, 32943, 16556, 101662, 13153, 17663, 125231, 17792, 103234, 19732, 48915, 26130, 17663, 125231, 114363, 103722, 108761, 103438, 30512, 118482, 106045, 54872, 71289, 44915, 20230, 30591, 110027, 38144, 109431, 102769, 20230, 122225, 54926, 118733, 69978, 106307, 112535, 13153, 101544, 108608, 33014, 44416, 30512, 106391, 113638, 54926, 105908, 27384, 102769, 38641, 1811, 113170, 71289, 19732, 31431, 15682, 61337, 32943, 111363, 101335, 65299, 102040, 65299, 105623, 226, 108882, 30512, 30358, 103984, 56051, 111234, 52884, 106391, 113638, 107420, 109531, 110548, 30250, 224, 23039, 19732, 120321, 106307, 109904, 111234, 52884, 126913, 101662, 13153, 57326, 77750, 32131, 91062, 16556, 111234, 52884, 68759, 38248, 109, 103906, 94550, 76706, 34171, 33208, 30512, 48154, 122521, 78434, 1811, 128001, 128000, 37271, 103296, 20230, 602, 20122, 3714, 97718, 87177, 76947, 102181, 102334, 100909, 43568, 102518, 26854, 9174, 117876, 104309, 16556, 110745, 33857, 16144, 119526, 29295, 109215, 108176, 105908, 101182, 9174, 119526, 60868, 108969, 33710, 29295, 111654, 67016, 100472, 31431, 5486, 109242, 9039, 34048, 20230, 17620, 111017, 103646, 37823, 104774, 44971, 107446, 30512, 46034, 24186, 121960, 33334, 105898, 102518, 31431, 9174, 27384, 116875, 15682, 5486, 58457, 113699, 99959, 115691, 42634, 65575, 54926, 9174, 85701, 15682, 5486, 19360, 21370, 248, 78767, 30512, 113692, 48154, 19732, 99959, 115691, 42634, 65575, 54926, 124122, 103223, 64178, 9174, 19732, 101182, 122481, 30512, 72718, 28542, 20230, 5486, 110924, 55031, 46702, 18904, 16144, 107167, 48552, 16556, 28037, 104067, 108608, 119318, 116310, 15682, 86348, 115181, 54926, 5486, 110162, 5486, 18458, 122827, 106696, 20230, 48249, 76947, 115181, 54926, 5486, 110162, 5486, 3222, 97718, 103857, 44971, 110548, 37823, 106090, 114050, 29295, 17297, 25129, 16144, 105494, 116771, 115181, 54926, 5486, 110162, 116898, 85791, 16995, 85791, 26854, 77195, 116825, 107441, 99959, 115691, 42634, 65575, 108608, 9174, 85701, 16556, 27384, 116875, 16144, 19967, 101275, 15682, 47406, 35287, 54926, 9174, 72661, 5486, 39177, 104680, 65608, 220, 77181, 115181, 118765, 105908, 101182, 105272, 9174, 108895, 95604, 103223, 64178, 16556, 73686, 42891, 22957, 113487, 32149, 104028, 106592, 115389, 29295, 30369, 104865, 5486, 110101, 65299, 103988, 106053, 103283, 71289, 12829, 220, 111848, 15120, 39177, 62903, 115247, 102404, 23039, 104309, 124905, 76947, 5486, 99959, 115691, 42634, 65575, 118765, 104466, 39926, 101182, 122481, 15682, 5486, 102971, 106391, 48706, 54926, 9174, 28713, 19732, 116285, 5486, 86, 18, 76, 95371, 33655, 30297, 5486, 102677, 41007, 32977, 101182, 9174, 85701, 15682, 13177, 104721, 26854, 110101, 65299, 103988, 10646, 77181, 101182, 29295, 5486, 108056, 114267, 110101, 65299, 103988, 36785, 1811, 16634, 220, 120885, 33655, 105262, 9174, 58426, 15120, 24273, 16556, 5486, 86, 18, 76, 108295, 13177, 103223, 64178, 10646, 72661, 101182, 9174, 99959, 115691, 42634, 65575, 56051, 119526, 16144, 47585, 32977, 109823, 108608, 15024, 5486, 66953, 108981, 103350, 23039, 29295, 88367, 36785, 9174, 80673, 5486, 60358, 8107, 32952, 108911, 76706, 11883, 107001, 101200, 115717, 5486, 86, 18, 76, 108295, 48634, 127242, 110276, 9174, 86, 18, 76, 220, 77181, 36810, 108911, 17129, 107173, 20230, 91875, 126660, 105272, 9174, 102677, 113334, 16556, 120955, 54926, 112973, 5486, 72, 20122, 3714, 9174, 85701, 15682, 107188, 31431, 104195, 48634, 26854, 103223, 64178, 36785, 9174, 102083, 114598, 5486, 33655, 30297, 109335, 20713, 116033, 20713, 27479, 101182, 126660, 32149, 1811, 110219, 15682, 65608, 113699, 114392, 109860, 9174, 26854, 105879, 5486, 33655, 30297, 110018, 103378, 106839, 17701, 39926, 5486, 33655, 16995, 105721, 78183, 100472, 33503, 113164, 76171, 71634, 64178, 39926, 114732, 105908, 127181, 9174, 72, 20122, 3714, 108295, 5486, 5484, 5486, 88750, 5486, 50170, 220, 104309, 116898, 47884, 59739, 116421, 110101, 65299, 103988, 16556, 38129, 108608, 125540, 41758, 76171, 36785, 9174, 125821, 32977, 5486, 33002, 126433, 15682, 112185, 122401, 108968, 17905, 16556, 121432, 29295, 83747, 100604, 9174, 37087, 121432, 29295, 111654, 102800, 105110, 18657, 126433, 29295, 57980, 16995, 120900, 107493, 5486, 112418, 15682, 27018, 126433, 124905, 30297, 105908, 127181, 9174, 16556, 5486, 72, 20122, 3714, 113699, 99849, 29295, 108608, 32149, 19732, 112844, 19732, 5486, 120613, 16144, 19732, 108086, 68759, 110305, 30512, 103214, 109315, 9174, 120267, 109033, 58942, 104984, 5486, 110101, 65299, 103988, 16144, 41190, 30512, 115681, 33208, 108608, 9174, 68759, 110305, 126694, 30369, 104468, 112825, 110904, 36785, 9174, 13177, 793, 24801, 10646, 103672, 127065, 30512, 110408, 39926, 61304, 108565, 121894, 20230, 127564, 5486, 105994, 16556, 68759, 115474, 104309, 124905, 76947, 110101, 65299, 103988, 41190, 54926, 103378, 9174, 85701, 16556, 110745, 116875, 16144, 91875, 19967, 15682, 112854, 107290, 124089, 9174, 109242, 122202, 26854, 106592, 56051, 16995, 107803, 72661, 5486, 115681, 61304, 108565, 16556, 25132, 249, 83799, 126694, 76947, 33334, 102532, 5486, 23951, 37656, 54926, 118733, 112825, 110904, 20230, 113173, 30512, 104067, 13153, 108608, 9174, 80673, 115847, 103378, 118816, 90620, 16144, 13177, 115681, 33208, 102741, 112508, 10646, 20230, 103188, 105557, 100604, 9174, 72, 20122, 3714, 97718, 22656, 108761, 15682, 5486, 5959, 97718, 41190, 121432, 117083, 9174, 5959, 95371, 37656, 106045, 21405, 102321, 16556, 111800, 52084, 15024, 5486, 91774, 126268, 118158, 103359, 47523, 113115, 39926, 39880, 122131, 30512, 103350, 23039, 108608, 9174, 28713, 19732, 116285, 5486, 66378, 23187, 16144, 5665, 110138, 102514, 16073, 114792, 59739, 115240, 104088, 126268, 121216, 5486, 47585, 56051, 31431, 108608, 9174, 51330, 110018, 36896, 47585, 10646, 15682, 5486, 110101, 65299, 103988, 16144, 47585, 121432, 30512, 105324, 102802, 121406, 113334, 111769, 5486, 102677, 112973, 101198, 102741, 36785, 9174, 72, 20122, 3714, 108295, 110101, 65299, 103988, 16144, 91875, 19967, 30512, 115681, 33208, 54926, 102741, 112508, 109846, 5486, 106063, 37026, 16144, 91875, 19967, 32977, 69978, 103836, 105272, 9174, 13177, 47585, 10646, 117824, 30297, 19732, 108149, 33503, 32149, 100204, 62004, 109823, 39926, 101182, 103857, 44971, 110548, 37823, 113115, 15024, 108149, 33503, 32149, 100204, 62004, 109823, 56051, 31091, 16556, 10110, 32977, 106624, 15682, 5486, 99959, 115691, 42634, 65575, 5665, 106004, 96412, 17129, 103468, 31091, 16556, 65459, 17663, 16556, 20230, 99959, 115691, 42634, 65575, 56051, 107391, 116219, 119526, 30512, 47585, 54926, 9174, 88356, 99959, 115691, 42634, 65575, 15682, 109215, 100604, 105879, 5486, 118322, 112772, 101182, 119526, 30512, 105184, 103350, 20230, 47585, 108608, 9174, 10110, 127749, 113468, 15682, 5486, 37823, 42634, 65575, 118765, 122481, 19732, 112844, 123017, 48706, 54926, 105272, 23954, 5959, 95371, 109467, 41190, 103792, 105879, 36896, 65917, 107167, 48552, 16556, 47585, 118587, 15533, 116474, 32952, 95371, 125894, 33655, 39926, 124260, 103792, 105933, 107803, 72661, 47585, 29295, 88367, 36785, 9174, 1981, 124260, 103792, 102944, 30512, 88367, 117657, 105272, 55031, 5486, 102700, 58521, 16144, 37689, 70141, 107118, 108010, 30297, 106592, 103792, 32149, 121061, 109335, 111140, 20230, 104650, 107436, 33334, 108895, 9174, 110382, 55031, 114715, 5486, 72, 20122, 3714, 97718, 87177, 126194, 5486, 25333, 109904, 87177, 108176, 9174, 72, 20122, 3714, 95371, 33655, 116285, 36896, 112113, 9554, 102052, 10646, 119526, 16144, 99959, 115691, 42634, 65575, 47585, 29295, 88367, 117282, 32149, 121061, 9174, 80673, 5486, 112113, 112535, 88367, 109860, 47585, 39926, 57980, 118544, 19732, 78244, 116285, 121906, 111769, 9174, 119526, 16144, 107740, 77195, 30512, 114652, 98499, 64121, 5486, 99959, 115691, 42634, 65575, 124260, 19732, 31958, 20379, 84389, 126386, 107803, 20230, 116771, 5486, 47585, 29295, 110008, 84389, 104533, 78698, 107290, 57980, 16995, 108995, 9174, 16906, 111, 28741, 26854, 106592, 78244, 116285, 36896, 99959, 115691, 42634, 65575, 124260, 66383, 105037, 111, 103836, 45056, 106773, 78983, 122291, 103306, 106116, 124260, 40089, 105904, 37026, 33014, 16144, 19361, 126120, 34171, 102052, 107750, 99397, 107407, 9174, 19360, 97718, 106548, 103214, 64121, 19732, 112844, 104468, 5486, 119526, 30512, 99959, 115691, 42634, 65575, 39926, 34273, 110, 111182, 124545, 102944, 109860, 36785, 9174, 59739, 109709, 5486, 19360, 106004, 19012, 110, 20379, 103792, 39177, 28542, 16556, 99959, 115691, 42634, 65575, 30512, 110008, 31540, 103792, 100909, 115717, 36896, 124260, 66383, 31958, 20379, 54926, 120266, 115552, 29295, 43568, 16995, 9174, 80673, 5486, 106045, 103664, 19732, 112844, 104468, 31958, 106581, 103646, 102944, 77181, 101182, 29295, 5486, 14276, 241, 45829, 23187, 106045, 20230, 50338, 13393, 230, 54926, 102944, 111769, 9174, 99959, 115691, 42634, 65575, 29295, 25580, 29172, 103195, 45056, 113699, 13177, 99959, 115691, 42634, 65575, 124260, 66383, 102181, 102532, 101182, 105272, 114267, 33503, 5486, 19360, 113699, 34273, 110, 111182, 54926, 71689, 16144, 99959, 115691, 42634, 65575, 23039, 101399, 1981, 31958, 20379, 9554, 5486, 32149, 59739, 105243, 106307, 112535, 88356, 107740, 54926, 124122, 104774, 106696, 47585, 30512, 108493, 100204, 100934, 19732, 78698, 105262, 125231, 108995, 9174, 51330, 107803, 5486, 110101, 65299, 103988, 29295, 13177, 39850, 102494, 37823, 17905, 20230, 10646, 99959, 115691, 42634, 65575, 39926, 34273, 110, 111182, 124545, 100909, 71289, 36896, 111573, 112535, 10646, 107391, 116219, 104774, 106696, 30512, 108618, 17663, 109335, 21418, 48915, 107001, 9174, 59739, 109709, 5486, 108936, 109904, 99750, 112854, 122692, 13177, 99959, 115691, 42634, 65575, 10646, 127105, 29295, 5486, 106045, 103664, 103306, 31958, 20379, 103646, 13177, 99959, 115691, 42634, 65575, 10646, 20230, 109638, 40265, 54926, 113334, 36785, 9174, 116900, 20230, 78244, 116285, 5486, 99959, 115691, 42634, 65575, 30512, 108493, 100204, 38144, 15682, 33334, 121140, 5486, 103283, 16144, 40089, 105904, 1981, 25963, 33671, 107740, 16144, 124260, 71289, 88356, 55487, 52927, 16144, 124260, 29295, 23187, 62004, 125398, 126513, 5486, 105994, 116907, 29295, 30591, 19732, 16556, 88356, 27479, 126229, 54926, 113009, 46034, 24186, 20230, 119526, 30512, 108618, 17663, 109335, 108493, 100204, 102204, 126386, 114318, 78698, 107290, 57980, 16995, 108995, 9174, 10110, 99959, 115691, 42634, 65575, 88367, 103195, 106592, 25580, 29172, 19732, 21105, 103, 47884, 38144, 15682, 5486, 25963, 33671, 107740, 71289, 88356, 55487, 52927, 16144, 124260, 20230, 115552, 29295, 43568, 16995, 23954, 107173, 32149, 47884, 5486, 119526, 102700, 58521 ]
[ 16144, 37689, 70141, 15682, 106154, 30369, 100909, 9174, 104195, 48634, 26854, 103223, 64178, 30512, 46034, 109156, 103468, 110018, 115847, 15682, 32335, 103167, 48249, 16144, 102494, 32131, 33710, 117282, 9174, 72, 20122, 3714, 97718, 108031, 15120, 59739, 102924, 60632, 26854, 28542, 15682, 36896, 103721, 108, 31431, 104196, 15024, 103350, 23039, 66383, 95604, 103350, 23039, 41007, 107407, 100909, 36785, 9174, 20713, 118821, 119526, 30512, 99959, 115691, 42634, 65575, 39926, 5486, 33671, 16144, 122481, 20230, 103130, 64121, 5486, 88356, 102802, 99959, 115691, 42634, 65575, 30512, 103721, 108, 31431, 104196, 17663, 5486, 102677, 109335, 5486, 114652, 101182, 9174, 110219, 5486, 57326, 77750, 32131, 91062, 126694, 30369, 105879, 30591, 104984, 5486, 33710, 107610, 30512, 103214, 104004, 104466, 21105, 103, 47884, 38144, 15682, 105110, 100604, 9174, 80673, 5486, 72, 20122, 3714, 220, 77181, 33710, 107610, 57326, 77750, 32131, 91062, 15682, 113473, 36785, 1811, 103721, 108, 31431, 104196, 56051, 16995, 18904, 9039, 30512, 17701, 106824, 36896, 103721, 108, 31431, 104196, 15024, 103350, 23039, 10646, 126693, 57980, 16995, 9174, 32149, 47884, 39926, 5486, 1041, 122481, 105352, 110968, 30369, 119526, 127303, 114598, 5486, 113692, 48154, 19732, 99959, 115691, 42634, 65575, 39926, 47585, 39926, 33334, 47884, 105908, 106084, 30369, 101200, 108176, 9174, 85707, 107436, 602, 20122, 3714, 95371, 33655, 100472, 104468, 5486, 53283, 31431, 40862, 119178, 117943, 17129, 106824, 5486, 105212, 39276, 101513, 97518, 29295, 121298, 103792, 119526, 30512, 122333, 20230, 115181, 56051, 110018, 36785, 9174, 58426, 101513, 97518, 77181, 43240, 119064, 119526, 30512, 121298, 107113, 29295, 5486, 102491, 16995, 119526, 15682, 110480, 33671, 121298, 105721, 35287, 117282, 106548, 103214, 64121, 103351, 9174, 33420, 105262, 112772, 119526, 30512, 47585, 39926, 33334, 105898, 102518, 120550, 105272, 29295, 5486, 105212, 39276, 101513, 97518, 26854, 105879, 10110, 11571, 7705, 26854, 112371, 32149, 64810, 123283, 37823, 103906, 29295, 16906, 111, 106624, 5486, 121298, 103646, 119526, 103195, 105352, 32149, 124233, 121140, 5486, 58457, 220, 104309, 77181, 111764, 20230, 115181, 103082, 104435, 105272, 9174, 118899, 101704, 21105, 114, 112586, 602, 20122, 3714, 106004, 33334, 101083, 87177, 101983, 103836, 104468, 5486, 115364, 110999, 103868, 16144, 119526, 30512, 47585, 56051, 102518, 55031, 36785, 9174, 58426, 116229, 77181, 5486, 119526, 16144, 25963, 33671, 107740, 5486, 88356, 55487, 52927, 30512, 108493, 100204, 38144, 108086, 5486, 112825, 110904, 102052, 99959, 115691, 42634, 65575, 118765, 104466, 39926, 105693, 9174, 80673, 5486, 107740, 110008, 125310, 114447, 48249, 31431, 5486, 99959, 115691, 42634, 65575, 29295, 124260, 114318, 112844, 113334, 111769, 101200, 103351, 9174, 88356, 55487, 52927, 30512, 104970, 120544, 39926, 99959, 115691, 42634, 65575, 15024, 20230, 47884, 16995, 104466, 39926, 101182, 103378, 103351, 120900, 9174, 53900, 5486, 116229, 120650, 76622, 81219, 108064, 72661, 119526, 104088, 110071, 105879, 5486, 110219, 20230, 113727, 104984, 99959, 115691, 42634, 65575, 54926, 115552, 32977, 43568, 16995, 9174, 80673, 5486, 112418, 103306, 15682, 120988, 115351, 79982, 106968, 16556, 119526, 104088, 28713, 102518, 105272, 9174, 108618, 104611, 106272, 106116, 79982, 106968, 77181, 45056, 124783, 106307, 39926, 116229, 120650, 47884, 105908, 111108, 67016, 100472, 105879, 5486, 72, 20122, 3714, 95371, 125894, 33655, 39926, 104774, 106696, 47585, 54926, 41007, 30512, 102647, 102189, 9174, 108895, 95604, 110018, 20230, 120268, 18904, 31431, 29295, 60632, 47884, 103223, 64178, 107407, 19732, 5486, 120065, 102924, 60632, 103195, 9174, 26130, 5232, 108031, 15120, 118821, 116229, 110366, 16144, 37689, 70141, 103306, 15682, 5486, 99959, 115691, 42634, 65575, 116216, 114732, 19732, 108285, 58655, 52563, 118765, 114318, 112844, 115789, 101182, 119150, 9174, 85701, 114556, 39926, 15682, 5486, 116229, 16144, 37689, 70141, 30512, 113797, 30358, 39926, 5486, 116229, 30512, 120824, 104028, 104983, 102052, 95221, 108176, 108285, 58655, 15682, 44915, 104088, 38144, 64121, 30369, 5486, 102677, 118733, 103359, 117120, 107726, 100481, 90620, 119188, 9174, 14711, 110927, 100204, 57933, 108941, 16144, 9080, 61304, 7, 118899, 112028, 111182, 8, 128001, 128000, 105466, 107809, 30512, 105564, 102334, 110018, 36896, 26854, 104127, 114387, 20230, 35894, 116499, 80866, 104680, 102800, 16144, 91006, 106046, 100472, 109335, 124897, 32149, 95532, 122582, 5486, 111398, 76505, 29295, 102404, 107471, 103792, 13177, 106384, 20251, 109482, 105404, 66383, 95604, 13153, 17620, 112197, 32149, 102639, 38641, 9174, 106384, 20251, 109482, 105404, 102052, 33420, 26274, 255, 9458, 21418, 115686, 5486, 37823, 32131, 107840, 8239, 114503, 104309, 107407, 105879, 115408, 126027, 104654, 105352, 107734, 80195, 76947, 61689, 9174, 110924, 16556, 37271, 18904, 15682, 5486, 105466, 16144, 23706, 240, 15024, 13153, 17620, 103195, 106384, 20251, 109482, 105404, 109853, 50338, 108323, 78434, 9174, 37026, 110362, 16556, 106384, 20251, 109482, 105404, 16144, 102765, 31431, 29295, 126407, 109315, 41758, 26269, 78525, 32977, 126362, 54926, 105879, 5486, 46034, 117355, 20230, 105466, 102138, 118959, 29295, 56051, 16995, 24273, 15682, 112371, 104328, 104405, 108422, 106609, 12, 220, 16, 105026, 57183, 20251, 109482, 105404, 107118, 198, 12, 220, 17, 105026, 57183, 20251, 109482, 105404, 16144, 36668, 26854, 8239, 114503, 19, 59739, 198, 12, 220, 18, 105026, 57183, 20251, 109482, 105404, 15682, 15120, 59739, 110034, 1811, 118969, 75694, 17129, 26854, 13153, 17620, 19732, 111398, 76505, 107407, 198, 12, 220, 19, 113869, 31431, 29295, 104195, 47884, 109020, 39177, 23538, 15682, 5486, 105140, 16144, 103856, 103293, 106609, 12, 220, 20, 105026, 57183, 20251, 109482, 105404, 16144, 102765, 31431, 30512, 37026, 110362, 72661, 6447, 33334, 125683, 62004, 41758, 26269, 78525, 30512, 126362, 198, 12, 220, 21, 220, 123011, 62004, 198, 567, 105026, 57183, 20251, 109482, 105404, 107118, 198, 106384, 20251, 109482, 105404, 107118, 5486, 105466, 16144, 111398, 76505, 29295, 102404, 21990, 124545, 16144, 102765, 111331, 100909, 38641, 9174, 105466, 102138, 118959, 77181, 126976, 102395, 99750, 71289, 80866, 104680, 21105, 243, 30512, 58318, 105262, 105879, 5486, 95221, 17620, 30512, 37823, 123646, 116219, 124545, 8239, 114503, 104309, 115991, 33541, 101832, 9174, 106384, 20251, 109482, 105404, 15682, 5486, 7285, 15, 8107, 119400, 20230, 110298, 102741, 89046, 16144, 108396, 30046, 9458, 33, 1087, 13, 20251, 38248, 255, 16073, 121987, 29295, 102404, 91774, 121256, 9174, 58426, 103846, 5486, 106384, 20251, 109482, 105404, 15682, 42634, 114741, 102158, 16556, 13177, 106384, 20251, 16073, 10110, 117430, 29295, 7705, 59712, 78459, 105404, 10110, 108055, 115686, 54926, 7705, 10646, 102677, 115552, 38641, 9174, 106384, 20251, 109482, 105404, 102052, 33420, 26274, 255, 71289, 108324, 115686, 8239, 114503, 32977, 101182, 103846, 115515, 16556, 127105, 86127, 126027, 104654, 20230, 108167, 125639, 124195, 61689, 29295, 5486, 27929, 32977, 27929, 102944, 106384, 20251, 109482, 105404, 16144, 113173, 15682, 5486, 104698, 118633, 55031, 96356, 30512, 106154, 30369, 120266, 57903, 33541, 9174, 104698, 118633, 55031, 101682, 107674, 114218, 16144, 108055, 115686, 71289, 103429, 95221, 16144, 99750, 108208, 30512, 103181, 104699, 113009, 5486, 117430, 15682, 106384, 20251, 109482, 105404, 30512, 102404, 21990, 107726, 100934, 16144, 38641, 9174, 86127, 105459, 125030, 76947, 106384, 20251, 109482, 105404, 15682, 51385, 33503, 105557, 30512, 112391, 30369, 105466, 16144, 13773, 224, 16995, 119627, 5486, 117430, 71289, 76505, 104680, 125030, 76947, 15682, 101544, 47884, 123726, 108618, 30369, 124122, 102669, 105838, 102083, 58942, 33541, 9174, 14711, 96622, 225, 16995, 115552, 77181, 115132, 44971, 42634, 80805, 120404, 19732, 102717, 109416, 42016, 104577, 198, 106384, 20251, 109482, 105404, 19732, 42016, 103826, 20230, 5486, 117430, 29295, 116945, 53953, 105284, 30512, 102404, 21990, 107726, 38144, 127177, 112027, 20230, 117375, 30512, 58318, 105262, 102321, 47523, 20230, 39880, 44971, 42634, 80805, 120404, 115991, 33541, 9174, 118633, 30512, 60358, 108385, 117063, 100604, 104466, 56051, 31431, 5486, 122202, 105301, 16144, 21990, 101662, 30512, 114632, 104698, 56051, 31431, 102083, 100472, 113266, 38641, 9174, 106384, 20251, 109482, 105404, 16144, 126067, 32977, 108285, 104577, 77181, 115132, 44971, 42634, 80805, 120404, 19732, 102717, 109416, 112361, 115552, 19732, 84389, 33541, 9174, 20834, 105586, 5232, 105635, 103932, 104577, 116366, 9458, 102754, 109, 102212, 112624, 45829, 7, 1049, 18, 8, 13177, 39880, 44971, 42634, 80805, 120404, 26016, 124928, 235, 53953, 29295, 54322, 20834, 54926, 116945, 53953, 105284, 111848, 127177, 112027, 110792, 50021, 106483, 113266, 482, 19732, 47884, 20230, 117430, 29295, 54322, 20834, 54926, 127327, 102404, 34171, 53953, 105284, 29295, 127177, 112027, 20230, 82317, 109416, 17663, 113266, 12, 10646, 11, 44620, 9080, 21990, 95221, 116044, 36761, 11, 1272, 320, 220, 16, 8, 281, 13, 2491, 12, 4370, 11, 102433, 21990, 95221, 47523, 124052, 627, 567, 105026, 57183, 20251, 109482, 105404, 16144, 36668, 26854, 8239, 114503, 19, 59739, 198, 106384, 20251, 109482, 105404, 16144, 36668, 26854, 8239, 114503, 15682, 5486, 33671, 16144, 19, 59739, 38641, 9174, 7, 16, 8, 6704, 28857, 26274, 255, 9458, 110645, 26274, 255, 320, 17, 8, 220, 21418, 115686, 9458, 108055, 115686, 320, 18, 8, 108791, 32131, 107840, 8239, 114503, 320, 19, 8, 97255, 245, 108602, 33208, 113266, 198, 77181, 5486, 110480, 87217, 126365, 100481, 50834, 17129, 109954, 9174, 14711, 320, 16, 8, 6704, 28857, 26274, 255, 9458, 110645, 26274, 255, 198, 106384, 20251, 109482, 105404, 102052, 5486, 35894, 95221, 30512, 27699, 226, 33208, 39926, 33420, 26274, 255, 9458, 110645, 26274, 255, 54926, 113266, 115991, 33541, 9174, 28713, 19732, 116285, 5486, 114387, 106592, 91763, 100472, 109335, 124897, 32149, 95532, 13177, 105466, 107809, 77181, 91875, 53953, 71289, 117430, 29295, 124884, 113529, 103792, 110115, 120953, 39926, 17039, 121200, 26854, 35894, 116499, 33563, 28713, 115032, 16144, 91006, 198, 114652, 113727, 104533, 16937, 91763, 104760, 38641, 123794, 9174, 103899, 58942, 15682, 105466, 102138, 55031, 102404, 107471, 107001, 106384, 20251, 109482, 105404, 102052, 5486, 13773, 224, 16995, 30512, 16325, 34208, 54926, 8239, 114503, 107407, 55031, 38641, 9174, 106384, 20251, 109482, 105404, 15682, 109161, 26274, 255, 16144, 113385, 20230, 47000, 100815, 39926, 5486, 53953, 105284, 16144, 13153, 17620, 30512, 104721, 33208, 124545, 8239, 114503, 115991, 33541, 9174, 14711, 320, 17, 8, 220, 21418, 115686, 9458, 108055, 115686, 198, 104698, 118633, 111848, 103429, 53229, 115686, 30512, 103181, 104699, 106384, 20251, 109482, 105404, 102052, 5486, 21418, 115686, 9458, 108055, 115686, 16144, 8239, 114503, 32977, 57903, 33541, 9174, 27384, 101921, 116, 115686, 71289, 105310, 39135, 52884, 45923, 65299, 79059, 115686, 104309, 20230, 113266, 54926, 103846, 5486, 22398, 57326, 110494, 104309, 15682, 62903, 108981, 16073, 41642, 31431, 105352, 107740, 116216, 61689, 101832, 9174, 106384, 20251, 109482, 105404, 29295, 104622, 106241, 26854, 28542, 15682, 5486, 33014, 20230, 117375, 16144, 100604, 115686, 102052, 30591, 109709, 113266, 72342, 101860, 5486, 19361, 104698, 26854, 53953, 105284, 103378, 20230, 95543, 106608, 54926, 110229, 9174, 103181, 118633, 8239, 114503, 32977, 125494, 108608, 105879, 5486, 46729, 99959, 78683, 103359, 105226, 105352, 33655, 58942, 33541, 9174, 14711, 320, 18, 8, 108791, 32131, 107840, 8239, 114503, 198, 105466, 107809, 30512, 105564, 47884, 104856, 102189, 32149, 120175, 59739, 47884, 104468, 5486, 106384, 20251, 109482, 105404, 20230, 37823, 32131, 107840, 8239, 114503, 101182, 55031, 9174, 73597, 251, 123160, 53610, 115195, 77181, 68759, 25197, 96452, 22398, 25197, 110191, 32977, 43240, 47884, 102404, 21990, 103792, 105879, 5486, 105755, 37823, 123646, 116219, 8239, 114503, 15682, 45736, 109709, 33541, 9174, 105466, 102138, 118959, 16144, 37823, 32131, 107840, 8239, 114503, 15682, 99750, 112854, 109904, 26854, 102944, 126194, 5486, 108396, 9554, 105352, 110322, 31958, 116216, 61689, 9174, 105466, 107809, 77181, 113949, 34048, 20230, 107991, 126036, 71634, 108744, 103927, 33710, 124373, 29295, 114485, 114715, 5486, 37823, 32131, 107840, 126101, 112415, 54926, 106966, 39209, 99750, 101365, 106613, 32977, 104622, 25129, 20230, 122502, 126145, 84389, 33541, 9174, 121846, 5232, 106384, 20251, 109482, 105404, 106901, 124535, 121450, 13177, 106384, 20251, 109482, 105404, 16144, 103826, 104680, 26854, 8239, 114503, 109853, 111329, 14711, 320, 19, 8, 97255, 245, 108602, 33208, 113266, 198, 108324, 108602, 33208, 113266, 107118, 5486, 33014, 16144, 108602, 33208, 30512, 126128, 105262, 113266, 16144, 100909, 38641, 9174, 86127, 127282, 105324, 107246, 123410, 118733, 108602, 72238, 30512, 33014, 32943, 20230, 103768, 104369, 19732, 115963, 20230, 5486, 113614, 26854, 104398, 112506, 32977, 127258, 39926, 114732, 13177, 76706, 34171, 108602, 72238, 118587, 33014, 107809, 20230, 19967, 31431, 36785, 127145, 9174, 53900, 5486, 115320, 103882, 71289, 47307, 66953, 47260, 5486, 71634, 108744, 5486, 106266, 102800, 117401, 104309, 32977, 76706, 34171, 108602, 72238, 29295, 115079, 21601, 54926, 113385, 121711, 33541, 9174, 76706, 34171, 108602, 72238, 15682, 92877, 33208, 71289, 103429, 95221, 107294, 105722, 30369, 103846, 5486, 9080, 104680, 16144, 104654, 16556, 33014, 16144, 108602, 33208, 30512, 126128, 105262, 109335, 27384, 102769, 38641, 9174, 106384, 20251, 109482, 105404, 102052, 108324, 108602, 33208, 113266, 32977, 101182, 19732, 84389, 5486, 11881, 242, 55031, 119008, 16144, 47585, 20230, 107740, 116216, 50834, 79721, 9174, 113614, 16556, 105268, 104680, 102800, 33014, 30512, 62903, 107610, 54926, 105352, 5486, 106384, 20251, 109482, 105404, 15682, 107734, 80195, 59739, 36827, 61994, 53953, 105284, 38641, 9174, 567, 105026, 57183, 20251, 109482, 105404, 15682, 15120, 59739, 110034, 1811, 118969, 75694, 17129, 26854, 13153, 17620, 19732, 111398, 76505, 107407, 198, 106384, 20251, 109482, 105404, 16144, 36668, 26854, 13153, 17620, 15682, 5486, 113834, 99695, 16073, 104770, 19732, 127173, 104028, 127327, 102404, 34171, 53953, 105284, 10110, 40053, 104840, 16556, 95221, 33014, 108176, 53953, 105284, 7705, 38641, 9174, 13177, 113834, 99695, 16073, 44620, 104770, 36761, 10646, 19732, 47000, 47884, 103378, 20230, 5486, 106384, 20251, 109482, 105404, 20230, 96412, 17129, 104028, 13153, 17620, 15682, 15120, 59739, 77181, 124897, 9174, 28713, 19732, 116285, 5486, 106384, 20251, 109482, 105404, 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 ]
[ 16144, 37689, 70141, 15682, 106154, 30369, 100909, 9174, 104195, 48634, 26854, 103223, 64178, 30512, 46034, 109156, 103468, 110018, 115847, 15682, 32335, 103167, 48249, 16144, 102494, 32131, 33710, 117282, 9174, 72, 20122, 3714, 97718, 108031, 15120, 59739, 102924, 60632, 26854, 28542, 15682, 36896, 103721, 108, 31431, 104196, 15024, 103350, 23039, 66383, 95604, 103350, 23039, 41007, 107407, 100909, 36785, 9174, 20713, 118821, 119526, 30512, 99959, 115691, 42634, 65575, 39926, 5486, 33671, 16144, 122481, 20230, 103130, 64121, 5486, 88356, 102802, 99959, 115691, 42634, 65575, 30512, 103721, 108, 31431, 104196, 17663, 5486, 102677, 109335, 5486, 114652, 101182, 9174, 110219, 5486, 57326, 77750, 32131, 91062, 126694, 30369, 105879, 30591, 104984, 5486, 33710, 107610, 30512, 103214, 104004, 104466, 21105, 103, 47884, 38144, 15682, 105110, 100604, 9174, 80673, 5486, 72, 20122, 3714, 220, 77181, 33710, 107610, 57326, 77750, 32131, 91062, 15682, 113473, 36785, 1811, 103721, 108, 31431, 104196, 56051, 16995, 18904, 9039, 30512, 17701, 106824, 36896, 103721, 108, 31431, 104196, 15024, 103350, 23039, 10646, 126693, 57980, 16995, 9174, 32149, 47884, 39926, 5486, 1041, 122481, 105352, 110968, 30369, 119526, 127303, 114598, 5486, 113692, 48154, 19732, 99959, 115691, 42634, 65575, 39926, 47585, 39926, 33334, 47884, 105908, 106084, 30369, 101200, 108176, 9174, 85707, 107436, 602, 20122, 3714, 95371, 33655, 100472, 104468, 5486, 53283, 31431, 40862, 119178, 117943, 17129, 106824, 5486, 105212, 39276, 101513, 97518, 29295, 121298, 103792, 119526, 30512, 122333, 20230, 115181, 56051, 110018, 36785, 9174, 58426, 101513, 97518, 77181, 43240, 119064, 119526, 30512, 121298, 107113, 29295, 5486, 102491, 16995, 119526, 15682, 110480, 33671, 121298, 105721, 35287, 117282, 106548, 103214, 64121, 103351, 9174, 33420, 105262, 112772, 119526, 30512, 47585, 39926, 33334, 105898, 102518, 120550, 105272, 29295, 5486, 105212, 39276, 101513, 97518, 26854, 105879, 10110, 11571, 7705, 26854, 112371, 32149, 64810, 123283, 37823, 103906, 29295, 16906, 111, 106624, 5486, 121298, 103646, 119526, 103195, 105352, 32149, 124233, 121140, 5486, 58457, 220, 104309, 77181, 111764, 20230, 115181, 103082, 104435, 105272, 9174, 118899, 101704, 21105, 114, 112586, 602, 20122, 3714, 106004, 33334, 101083, 87177, 101983, 103836, 104468, 5486, 115364, 110999, 103868, 16144, 119526, 30512, 47585, 56051, 102518, 55031, 36785, 9174, 58426, 116229, 77181, 5486, 119526, 16144, 25963, 33671, 107740, 5486, 88356, 55487, 52927, 30512, 108493, 100204, 38144, 108086, 5486, 112825, 110904, 102052, 99959, 115691, 42634, 65575, 118765, 104466, 39926, 105693, 9174, 80673, 5486, 107740, 110008, 125310, 114447, 48249, 31431, 5486, 99959, 115691, 42634, 65575, 29295, 124260, 114318, 112844, 113334, 111769, 101200, 103351, 9174, 88356, 55487, 52927, 30512, 104970, 120544, 39926, 99959, 115691, 42634, 65575, 15024, 20230, 47884, 16995, 104466, 39926, 101182, 103378, 103351, 120900, 9174, 53900, 5486, 116229, 120650, 76622, 81219, 108064, 72661, 119526, 104088, 110071, 105879, 5486, 110219, 20230, 113727, 104984, 99959, 115691, 42634, 65575, 54926, 115552, 32977, 43568, 16995, 9174, 80673, 5486, 112418, 103306, 15682, 120988, 115351, 79982, 106968, 16556, 119526, 104088, 28713, 102518, 105272, 9174, 108618, 104611, 106272, 106116, 79982, 106968, 77181, 45056, 124783, 106307, 39926, 116229, 120650, 47884, 105908, 111108, 67016, 100472, 105879, 5486, 72, 20122, 3714, 95371, 125894, 33655, 39926, 104774, 106696, 47585, 54926, 41007, 30512, 102647, 102189, 9174, 108895, 95604, 110018, 20230, 120268, 18904, 31431, 29295, 60632, 47884, 103223, 64178, 107407, 19732, 5486, 120065, 102924, 60632, 103195, 9174, 26130, 5232, 108031, 15120, 118821, 116229, 110366, 16144, 37689, 70141, 103306, 15682, 5486, 99959, 115691, 42634, 65575, 116216, 114732, 19732, 108285, 58655, 52563, 118765, 114318, 112844, 115789, 101182, 119150, 9174, 85701, 114556, 39926, 15682, 5486, 116229, 16144, 37689, 70141, 30512, 113797, 30358, 39926, 5486, 116229, 30512, 120824, 104028, 104983, 102052, 95221, 108176, 108285, 58655, 15682, 44915, 104088, 38144, 64121, 30369, 5486, 102677, 118733, 103359, 117120, 107726, 100481, 90620, 119188, 9174, 14711, 110927, 100204, 57933, 108941, 16144, 9080, 61304, 7, 118899, 112028, 111182, 8, 128001, 128000, 105466, 107809, 30512, 105564, 102334, 110018, 36896, 26854, 104127, 114387, 20230, 35894, 116499, 80866, 104680, 102800, 16144, 91006, 106046, 100472, 109335, 124897, 32149, 95532, 122582, 5486, 111398, 76505, 29295, 102404, 107471, 103792, 13177, 106384, 20251, 109482, 105404, 66383, 95604, 13153, 17620, 112197, 32149, 102639, 38641, 9174, 106384, 20251, 109482, 105404, 102052, 33420, 26274, 255, 9458, 21418, 115686, 5486, 37823, 32131, 107840, 8239, 114503, 104309, 107407, 105879, 115408, 126027, 104654, 105352, 107734, 80195, 76947, 61689, 9174, 110924, 16556, 37271, 18904, 15682, 5486, 105466, 16144, 23706, 240, 15024, 13153, 17620, 103195, 106384, 20251, 109482, 105404, 109853, 50338, 108323, 78434, 9174, 37026, 110362, 16556, 106384, 20251, 109482, 105404, 16144, 102765, 31431, 29295, 126407, 109315, 41758, 26269, 78525, 32977, 126362, 54926, 105879, 5486, 46034, 117355, 20230, 105466, 102138, 118959, 29295, 56051, 16995, 24273, 15682, 112371, 104328, 104405, 108422, 106609, 12, 220, 16, 105026, 57183, 20251, 109482, 105404, 107118, 198, 12, 220, 17, 105026, 57183, 20251, 109482, 105404, 16144, 36668, 26854, 8239, 114503, 19, 59739, 198, 12, 220, 18, 105026, 57183, 20251, 109482, 105404, 15682, 15120, 59739, 110034, 1811, 118969, 75694, 17129, 26854, 13153, 17620, 19732, 111398, 76505, 107407, 198, 12, 220, 19, 113869, 31431, 29295, 104195, 47884, 109020, 39177, 23538, 15682, 5486, 105140, 16144, 103856, 103293, 106609, 12, 220, 20, 105026, 57183, 20251, 109482, 105404, 16144, 102765, 31431, 30512, 37026, 110362, 72661, 6447, 33334, 125683, 62004, 41758, 26269, 78525, 30512, 126362, 198, 12, 220, 21, 220, 123011, 62004, 198, 567, 105026, 57183, 20251, 109482, 105404, 107118, 198, 106384, 20251, 109482, 105404, 107118, 5486, 105466, 16144, 111398, 76505, 29295, 102404, 21990, 124545, 16144, 102765, 111331, 100909, 38641, 9174, 105466, 102138, 118959, 77181, 126976, 102395, 99750, 71289, 80866, 104680, 21105, 243, 30512, 58318, 105262, 105879, 5486, 95221, 17620, 30512, 37823, 123646, 116219, 124545, 8239, 114503, 104309, 115991, 33541, 101832, 9174, 106384, 20251, 109482, 105404, 15682, 5486, 7285, 15, 8107, 119400, 20230, 110298, 102741, 89046, 16144, 108396, 30046, 9458, 33, 1087, 13, 20251, 38248, 255, 16073, 121987, 29295, 102404, 91774, 121256, 9174, 58426, 103846, 5486, 106384, 20251, 109482, 105404, 15682, 42634, 114741, 102158, 16556, 13177, 106384, 20251, 16073, 10110, 117430, 29295, 7705, 59712, 78459, 105404, 10110, 108055, 115686, 54926, 7705, 10646, 102677, 115552, 38641, 9174, 106384, 20251, 109482, 105404, 102052, 33420, 26274, 255, 71289, 108324, 115686, 8239, 114503, 32977, 101182, 103846, 115515, 16556, 127105, 86127, 126027, 104654, 20230, 108167, 125639, 124195, 61689, 29295, 5486, 27929, 32977, 27929, 102944, 106384, 20251, 109482, 105404, 16144, 113173, 15682, 5486, 104698, 118633, 55031, 96356, 30512, 106154, 30369, 120266, 57903, 33541, 9174, 104698, 118633, 55031, 101682, 107674, 114218, 16144, 108055, 115686, 71289, 103429, 95221, 16144, 99750, 108208, 30512, 103181, 104699, 113009, 5486, 117430, 15682, 106384, 20251, 109482, 105404, 30512, 102404, 21990, 107726, 100934, 16144, 38641, 9174, 86127, 105459, 125030, 76947, 106384, 20251, 109482, 105404, 15682, 51385, 33503, 105557, 30512, 112391, 30369, 105466, 16144, 13773, 224, 16995, 119627, 5486, 117430, 71289, 76505, 104680, 125030, 76947, 15682, 101544, 47884, 123726, 108618, 30369, 124122, 102669, 105838, 102083, 58942, 33541, 9174, 14711, 96622, 225, 16995, 115552, 77181, 115132, 44971, 42634, 80805, 120404, 19732, 102717, 109416, 42016, 104577, 198, 106384, 20251, 109482, 105404, 19732, 42016, 103826, 20230, 5486, 117430, 29295, 116945, 53953, 105284, 30512, 102404, 21990, 107726, 38144, 127177, 112027, 20230, 117375, 30512, 58318, 105262, 102321, 47523, 20230, 39880, 44971, 42634, 80805, 120404, 115991, 33541, 9174, 118633, 30512, 60358, 108385, 117063, 100604, 104466, 56051, 31431, 5486, 122202, 105301, 16144, 21990, 101662, 30512, 114632, 104698, 56051, 31431, 102083, 100472, 113266, 38641, 9174, 106384, 20251, 109482, 105404, 16144, 126067, 32977, 108285, 104577, 77181, 115132, 44971, 42634, 80805, 120404, 19732, 102717, 109416, 112361, 115552, 19732, 84389, 33541, 9174, 20834, 105586, 5232, 105635, 103932, 104577, 116366, 9458, 102754, 109, 102212, 112624, 45829, 7, 1049, 18, 8, 13177, 39880, 44971, 42634, 80805, 120404, 26016, 124928, 235, 53953, 29295, 54322, 20834, 54926, 116945, 53953, 105284, 111848, 127177, 112027, 110792, 50021, 106483, 113266, 482, 19732, 47884, 20230, 117430, 29295, 54322, 20834, 54926, 127327, 102404, 34171, 53953, 105284, 29295, 127177, 112027, 20230, 82317, 109416, 17663, 113266, 12, 10646, 11, 44620, 9080, 21990, 95221, 116044, 36761, 11, 1272, 320, 220, 16, 8, 281, 13, 2491, 12, 4370, 11, 102433, 21990, 95221, 47523, 124052, 627, 567, 105026, 57183, 20251, 109482, 105404, 16144, 36668, 26854, 8239, 114503, 19, 59739, 198, 106384, 20251, 109482, 105404, 16144, 36668, 26854, 8239, 114503, 15682, 5486, 33671, 16144, 19, 59739, 38641, 9174, 7, 16, 8, 6704, 28857, 26274, 255, 9458, 110645, 26274, 255, 320, 17, 8, 220, 21418, 115686, 9458, 108055, 115686, 320, 18, 8, 108791, 32131, 107840, 8239, 114503, 320, 19, 8, 97255, 245, 108602, 33208, 113266, 198, 77181, 5486, 110480, 87217, 126365, 100481, 50834, 17129, 109954, 9174, 14711, 320, 16, 8, 6704, 28857, 26274, 255, 9458, 110645, 26274, 255, 198, 106384, 20251, 109482, 105404, 102052, 5486, 35894, 95221, 30512, 27699, 226, 33208, 39926, 33420, 26274, 255, 9458, 110645, 26274, 255, 54926, 113266, 115991, 33541, 9174, 28713, 19732, 116285, 5486, 114387, 106592, 91763, 100472, 109335, 124897, 32149, 95532, 13177, 105466, 107809, 77181, 91875, 53953, 71289, 117430, 29295, 124884, 113529, 103792, 110115, 120953, 39926, 17039, 121200, 26854, 35894, 116499, 33563, 28713, 115032, 16144, 91006, 198, 114652, 113727, 104533, 16937, 91763, 104760, 38641, 123794, 9174, 103899, 58942, 15682, 105466, 102138, 55031, 102404, 107471, 107001, 106384, 20251, 109482, 105404, 102052, 5486, 13773, 224, 16995, 30512, 16325, 34208, 54926, 8239, 114503, 107407, 55031, 38641, 9174, 106384, 20251, 109482, 105404, 15682, 109161, 26274, 255, 16144, 113385, 20230, 47000, 100815, 39926, 5486, 53953, 105284, 16144, 13153, 17620, 30512, 104721, 33208, 124545, 8239, 114503, 115991, 33541, 9174, 14711, 320, 17, 8, 220, 21418, 115686, 9458, 108055, 115686, 198, 104698, 118633, 111848, 103429, 53229, 115686, 30512, 103181, 104699, 106384, 20251, 109482, 105404, 102052, 5486, 21418, 115686, 9458, 108055, 115686, 16144, 8239, 114503, 32977, 57903, 33541, 9174, 27384, 101921, 116, 115686, 71289, 105310, 39135, 52884, 45923, 65299, 79059, 115686, 104309, 20230, 113266, 54926, 103846, 5486, 22398, 57326, 110494, 104309, 15682, 62903, 108981, 16073, 41642, 31431, 105352, 107740, 116216, 61689, 101832, 9174, 106384, 20251, 109482, 105404, 29295, 104622, 106241, 26854, 28542, 15682, 5486, 33014, 20230, 117375, 16144, 100604, 115686, 102052, 30591, 109709, 113266, 72342, 101860, 5486, 19361, 104698, 26854, 53953, 105284, 103378, 20230, 95543, 106608, 54926, 110229, 9174, 103181, 118633, 8239, 114503, 32977, 125494, 108608, 105879, 5486, 46729, 99959, 78683, 103359, 105226, 105352, 33655, 58942, 33541, 9174, 14711, 320, 18, 8, 108791, 32131, 107840, 8239, 114503, 198, 105466, 107809, 30512, 105564, 47884, 104856, 102189, 32149, 120175, 59739, 47884, 104468, 5486, 106384, 20251, 109482, 105404, 20230, 37823, 32131, 107840, 8239, 114503, 101182, 55031, 9174, 73597, 251, 123160, 53610, 115195, 77181, 68759, 25197, 96452, 22398, 25197, 110191, 32977, 43240, 47884, 102404, 21990, 103792, 105879, 5486, 105755, 37823, 123646, 116219, 8239, 114503, 15682, 45736, 109709, 33541, 9174, 105466, 102138, 118959, 16144, 37823, 32131, 107840, 8239, 114503, 15682, 99750, 112854, 109904, 26854, 102944, 126194, 5486, 108396, 9554, 105352, 110322, 31958, 116216, 61689, 9174, 105466, 107809, 77181, 113949, 34048, 20230, 107991, 126036, 71634, 108744, 103927, 33710, 124373, 29295, 114485, 114715, 5486, 37823, 32131, 107840, 126101, 112415, 54926, 106966, 39209, 99750, 101365, 106613, 32977, 104622, 25129, 20230, 122502, 126145, 84389, 33541, 9174, 121846, 5232, 106384, 20251, 109482, 105404, 106901, 124535, 121450, 13177, 106384, 20251, 109482, 105404, 16144, 103826, 104680, 26854, 8239, 114503, 109853, 111329, 14711, 320, 19, 8, 97255, 245, 108602, 33208, 113266, 198, 108324, 108602, 33208, 113266, 107118, 5486, 33014, 16144, 108602, 33208, 30512, 126128, 105262, 113266, 16144, 100909, 38641, 9174, 86127, 127282, 105324, 107246, 123410, 118733, 108602, 72238, 30512, 33014, 32943, 20230, 103768, 104369, 19732, 115963, 20230, 5486, 113614, 26854, 104398, 112506, 32977, 127258, 39926, 114732, 13177, 76706, 34171, 108602, 72238, 118587, 33014, 107809, 20230, 19967, 31431, 36785, 127145, 9174, 53900, 5486, 115320, 103882, 71289, 47307, 66953, 47260, 5486, 71634, 108744, 5486, 106266, 102800, 117401, 104309, 32977, 76706, 34171, 108602, 72238, 29295, 115079, 21601, 54926, 113385, 121711, 33541, 9174, 76706, 34171, 108602, 72238, 15682, 92877, 33208, 71289, 103429, 95221, 107294, 105722, 30369, 103846, 5486, 9080, 104680, 16144, 104654, 16556, 33014, 16144, 108602, 33208, 30512, 126128, 105262, 109335, 27384, 102769, 38641, 9174, 106384, 20251, 109482, 105404, 102052, 108324, 108602, 33208, 113266, 32977, 101182, 19732, 84389, 5486, 11881, 242, 55031, 119008, 16144, 47585, 20230, 107740, 116216, 50834, 79721, 9174, 113614, 16556, 105268, 104680, 102800, 33014, 30512, 62903, 107610, 54926, 105352, 5486, 106384, 20251, 109482, 105404, 15682, 107734, 80195, 59739, 36827, 61994, 53953, 105284, 38641, 9174, 567, 105026, 57183, 20251, 109482, 105404, 15682, 15120, 59739, 110034, 1811, 118969, 75694, 17129, 26854, 13153, 17620, 19732, 111398, 76505, 107407, 198, 106384, 20251, 109482, 105404, 16144, 36668, 26854, 13153, 17620, 15682, 5486, 113834, 99695, 16073, 104770, 19732, 127173, 104028, 127327, 102404, 34171, 53953, 105284, 10110, 40053, 104840, 16556, 95221, 33014, 108176, 53953, 105284, 7705, 38641, 9174, 13177, 113834, 99695, 16073, 44620, 104770, 36761, 10646, 19732, 47000, 47884, 103378, 20230, 5486, 106384, 20251, 109482, 105404, 20230, 96412, 17129, 104028, 13153, 17620, 15682, 15120, 59739, 77181, 124897, 9174, 28713, 19732, 116285, 5486, 106384, 20251, 109482, 105404, 16556 ]
[ 106691, 109904, 107461, 101335, 62903, 102052, 5486, 19481, 12, 71493, 76428, 101335, 64178, 19732, 127173, 104028, 13153, 17620, 29295, 96412, 17129, 106824, 61689, 9174, 20251, 45923, 68759, 103223, 71289, 76739, 118091, 68759, 103223, 102052, 5486, 120379, 95221, 112854, 17129, 15024, 108176, 103672, 33710, 102750, 90962, 64178, 102677, 13153, 17620, 29295, 5486, 107461, 66953, 71289, 102750, 78525, 47260, 102052, 108324, 115686, 34171, 16144, 126574, 107461, 101335, 62903, 78459, 90962, 64178, 29295, 96412, 17129, 106824, 61689, 10110, 121846, 5232, 106384, 20251, 109482, 105404, 116945, 32131, 103672, 13177, 106384, 20251, 109482, 105404, 10646, 123505, 108729, 112535, 15120, 118821, 111398, 76505, 102052, 16995, 47884, 59739, 116421, 13153, 17620, 29295, 96412, 17129, 115032, 105879, 36896, 107461, 101335, 62903, 78459, 90962, 64178, 105110, 107461, 101335, 62903, 78459, 90962, 64178, 103378, 66383, 95604, 100909, 77181, 124897, 9174, 53900, 5486, 111398, 76505, 16144, 102097, 104754, 33857, 15682, 108285, 105065, 111398, 126036, 13393, 251, 105065, 111398, 120332, 29295, 127181, 19732, 84389, 33541, 10110, 121846, 5232, 105466, 54597, 251, 102216, 105514, 13177, 106384, 20251, 109482, 105404, 19732, 105466, 102138, 118959, 109853, 10646, 123505, 105466, 102138, 118959, 16556, 37823, 32131, 107840, 8239, 114503, 30512, 45736, 109315, 105110, 5486, 107461, 101335, 62903, 71289, 68759, 103223, 104770, 104309, 13393, 251, 105065, 111398, 29295, 127181, 116245, 117158, 32149, 105784, 102083, 117201, 109954, 9174, 567, 113869, 31431, 29295, 104195, 47884, 109020, 39177, 23538, 15682, 5486, 105140, 16144, 103856, 103293, 106609, 106384, 20251, 109482, 105404, 16144, 102765, 31431, 15682, 5486, 21, 56040, 23, 9953, 16144, 39177, 23538, 29295, 125821, 32977, 104195, 115737, 104533, 84389, 5486, 113786, 75267, 15682, 111398, 76505, 16144, 104091, 104770, 114556, 108826, 103470, 5486, 112294, 115464, 101427, 122, 70141, 115991, 33541, 9174, 53900, 112160, 108323, 103732, 104533, 105466, 16144, 102765, 31431, 15682, 103309, 20230, 115079, 21601, 54926, 103846, 5486, 66378, 20230, 103856, 103293, 15682, 102765, 31431, 29295, 104195, 17129, 104533, 84389, 33541, 9174, 105140, 20230, 107391, 108969, 71289, 57933, 52414, 117856, 126198, 110018, 5486, 103293, 16144, 35894, 116499, 80866, 104680, 102800, 104468, 121906, 95604, 114667, 55031, 105321, 125651, 9174, 567, 105026, 57183, 20251, 109482, 105404, 16144, 102765, 31431, 30512, 37026, 110362, 72661, 6447, 33334, 125683, 62004, 41758, 26269, 78525, 30512, 126362, 198, 108324, 115686, 9458, 108055, 115686, 113266, 115991, 5486, 35894, 95221, 32977, 62903, 108748, 116446, 124089, 106384, 20251, 109482, 105404, 125939, 15682, 127331, 124949, 20230, 107734, 80195, 59739, 41758, 26269, 78525, 32977, 121771, 98369, 20834, 127280, 9174, 110382, 77181, 5486, 106384, 20251, 109482, 105404, 124905, 100472, 33334, 125683, 62004, 41758, 26269, 78525, 30512, 126362, 54926, 105879, 5486, 112371, 104328, 37026, 110362, 20230, 16995, 106272, 105466, 16144, 102765, 31431, 16556, 23706, 240, 116216, 64121, 38144, 72315, 106609, 14711, 105026, 57183, 20251, 109482, 105404, 22398, 57326, 110494, 111909, 106, 320, 3101, 1029, 340, 33334, 114834, 71289, 101918, 32943, 5486, 108914, 102754, 107, 101513, 107809, 104309, 111044, 108285, 16995, 57207, 107060, 16556, 33655, 105262, 106384, 20251, 109482, 105404, 22398, 57326, 110494, 9174, 33420, 26274, 255, 9458, 21418, 115686, 9458, 108324, 115686, 121142, 103470, 5486, 103181, 71493, 91482, 9458, 103181, 118633, 8239, 114503, 32977, 57903, 33541, 9174, 106063, 66378, 16144, 102765, 31431, 29295, 54926, 105879, 53901, 64121, 15682, 17620, 32149, 104028, 110229, 119627, 5486, 95221, 108176, 13773, 224, 119178, 107271, 26269, 117408, 121142, 35894, 95221, 30512, 27699, 226, 33208, 39926, 120700, 33541, 9174, 40862, 13153, 43955, 53953, 71289, 116945, 34171, 53953, 105284, 104309, 15682, 112160, 102769, 38129, 109768, 107515, 9174, 14711, 34676, 4695, 5604, 3083, 61094, 11199, 107461, 101335, 62903, 36827, 61994, 33420, 26274, 255, 21418, 115686, 22398, 57326, 110494, 115813, 127020, 11883, 1049, 1029, 198, 109657, 108056, 71289, 31809, 65316, 45829, 67645, 32977, 105352, 51385, 64209, 39926, 33655, 105262, 5486, 36827, 61994, 13153, 17620, 1041, 4, 16144, 33420, 26274, 255, 21418, 115686, 22398, 57326, 110494, 9174, 107908, 47260, 64178, 52591, 102540, 16556, 33334, 104004, 118821, 117733, 26854, 26274, 255, 16995, 32977, 17620, 45829, 44971, 115882, 16556, 17620, 50338, 5486, 33420, 26274, 255, 39926, 120700, 33541, 9174, 106384, 20251, 109482, 105404, 30512, 96412, 104004, 107461, 101335, 62903, 16144, 102765, 31431, 29295, 5486, 103892, 32977, 64209, 32977, 37823, 123646, 116219, 107726, 38144, 124089, 116497, 9174, 33334, 32977, 104702, 71289, 102832, 91482, 38248, 104, 115247, 21418, 115686, 108948, 114834, 16144, 33420, 26274, 255, 20230, 112371, 104328, 106609, 14711, 34676, 102832, 78459, 115882, 102803, 52591, 11199, 115813, 78459, 115882, 101198, 71634, 5421, 107824, 102765, 42506, 117809, 6704, 28857, 26274, 255, 22398, 57326, 110494, 10110, 5154, 1029, 23954, 16, 11, 3101, 14558, 71689, 16144, 122770, 105352, 118935, 11883, 103646, 5486, 107420, 29295, 104736, 109315, 33420, 26274, 255, 22398, 57326, 110494, 38641, 9174, 36827, 61994, 102040, 109229, 13177, 102832, 78459, 115882, 10646, 15682, 122603, 104297, 102765, 53610, 71289, 33208, 90397, 100, 25446, 104309, 105352, 107740, 110731, 117430, 9174, 106390, 44309, 71289, 71493, 111073, 16073, 5486, 47307, 66953, 47260, 5486, 33014, 26274, 255, 104309, 108149, 33503, 106644, 30369, 16937, 102395, 26854, 26274, 255, 117714, 24186, 30512, 50338, 33420, 39926, 120700, 33541, 9174, 116945, 117434, 25446, 30512, 121019, 96412, 104127, 16995, 100604, 105879, 5486, 113614, 29295, 95221, 108176, 24273, 105352, 33334, 125683, 62004, 38641, 57980, 9174, 14711, 105026, 57183, 20251, 16073, 76739, 122776, 37511, 10110, 5608, 12, 1041, 15, 23954, 33748, 123160, 31809, 118347, 61398, 20230, 2243, 112, 100472, 111331, 35894, 95221, 80866, 27699, 226, 101513, 38641, 9174, 117032, 16144, 35894, 95221, 80866, 27699, 226, 101513, 15682, 5486, 76706, 34171, 108602, 72238, 71289, 90962, 118091, 16073, 104309, 30512, 102404, 21990, 107726, 38144, 5486, 35894, 95221, 16325, 16144, 117733, 26854, 26274, 255, 114774, 103429, 53229, 115686, 30512, 13177, 108602, 33208, 48634, 10646, 16556, 21418, 115686, 9458, 33420, 26274, 255, 127145, 9174, 80673, 106116, 104195, 48634, 26854, 108602, 33208, 48634, 15682, 5486, 126101, 107707, 33014, 105352, 117375, 30512, 58318, 105262, 105908, 57903, 33541, 9174, 44620, 106384, 20251, 16073, 76739, 122776, 37511, 36761, 15682, 5486, 35894, 95221, 30512, 21418, 115686, 9458, 33420, 26274, 255, 21105, 103, 29295, 33503, 5486, 33014, 20230, 126521, 102944, 30512, 35894, 95221, 126867, 121771, 98369, 96412, 105823, 38144, 124089, 33671, 101083, 31640, 25287, 16144, 35894, 95221, 80866, 27699, 226, 101513, 38641, 9174, 35894, 95221, 16144, 27699, 226, 33208, 20230, 108602, 33208, 123457, 107740, 21105, 103, 16995, 5486, 1041, 113127, 36827, 61994, 117430, 68171, 37507, 16144, 13153, 17620, 26854, 105879, 5486, 100525, 232, 122924, 98369, 71289, 109657, 108056, 105352, 51385, 64209, 39926, 33655, 58942, 33541, 9174, 81258, 121120, 123628, 37823, 118359, 105335, 25197, 91062, 105352, 33334, 125683, 62004, 16144, 41758, 26269, 78525, 38641, 9174, 14711, 105026, 57183, 20251, 16073, 102663, 39880, 107391, 123546, 198, 105321, 19732, 5486, 106384, 20251, 109482, 105404, 102052, 107391, 123546, 32977, 57903, 33541, 106609, 1041, 4, 36827, 61994, 117430, 13153, 17620, 16144, 106384, 20251, 109482, 105404, 30512, 118314, 123332, 56051, 107391, 123546, 15682, 124563, 109315, 121142, 23018, 30512, 126976, 71289, 111201, 37823, 123646, 116219, 9174, 16144, 67645, 20230, 71289, 30813, 102800, 102040, 109229, 76739, 62903, 22398, 32977, 127730, 116216, 61689, 9174, 37823, 70563, 84477, 96455, 2721, 4, 19732, 40526, 47260, 101198, 126909, 32977, 126574, 76739, 78459, 113821, 47043, 38641, 9174, 14711, 105026, 57183, 20251, 16073, 19481, 9458, 96452, 123577, 32131, 33710, 90962, 106696, 508, 1029, 198, 64209, 51385, 33503, 104699, 105466, 102138, 16144, 102765, 31431, 29295, 108285, 29295, 30369, 5486, 96452, 123577, 32131, 33710, 90962, 106696, 9174, 53229, 21990, 102138, 29295, 108618, 30369, 102571, 101704, 102687, 16144, 35894, 95221, 30512, 123604, 20230, 122401, 84389, 79721, 9174, 37087, 966, 104091, 104770, 16144, 111398, 76505, 55031, 116602, 118158, 102097, 104754, 102052, 5486, 119515, 105469, 26854, 106384, 20251, 109482, 105404, 29295, 96412, 17129, 106824, 61689, 9174, 33334, 104346, 17857, 224, 20230, 120065, 17701, 103468, 31431, 5486, 103906, 116219, 20230, 96412, 105823, 38144, 121120, 30369, 125344, 20119, 243, 24186, 20230, 22324, 102334, 31431, 39926, 5486, 47884, 59739, 85791, 105557, 16144, 82973, 30512, 103188, 48154, 39926, 64121, 38144, 112987, 32149, 29295, 123253, 95532, 14711, 88150, 362, 3039, 108791, 65575, 103857, 52591, 72369, 38248, 114, 11972, 109778, 250, 220, 1041, 1029, 198, 91774, 28713, 30832, 32977, 33334, 116826, 33121, 16556, 5486, 76171, 57933, 104612, 103306, 32977, 33334, 125683, 62004, 16144, 41758, 26269, 78525, 9174, 106384, 20251, 109482, 105404, 30512, 96412, 104004, 36827, 61994, 107461, 101335, 62903, 102097, 104754, 30512, 104356, 20230, 5486, 107461, 66953, 71289, 60868, 108506, 33710, 65299, 105404, 104309, 23706, 240, 15024, 30512, 60868, 121057, 54926, 102765, 31431, 30512, 52884, 44971, 102860, 121256, 9174, 33334, 114834, 71289, 114797, 97518, 20230, 27929, 104043, 22324, 102532, 33334, 47884, 121142, 5486, 23706, 240, 119432, 35894, 56965, 29295, 125545, 57980, 9174, 14711, 107732, 39084, 16144, 105466, 110502, 100, 106644, 198, 34208, 64209, 36117, 95, 104028, 80805, 26269, 102663, 78767, 16556, 13177, 108285, 102687, 41758, 105404, 68408, 126590, 108363, 10646, 32977, 101682, 108363, 56051, 17701, 118959, 21403, 97, 9174, 38129, 103792, 104521, 101701, 109778, 250, 102097, 104754, 15682, 5486, 53610, 39084, 16144, 105466, 102718, 102647, 20230, 102647, 81219, 103468, 76505, 104858, 58911, 16144, 85300, 100, 50834, 53610, 19732, 106116, 105466, 16556, 101662, 100472, 107461, 101335, 62903, 16144, 56965, 17885, 238, 103234, 30512, 53610, 103858, 116, 95221, 103858, 116, 104650, 25333, 16556, 116602, 118158, 102944, 38641, 9174, 15120, 117073, 105721, 78183, 112586, 5486, 106644, 121710, 111842, 105466, 102138, 16144, 102765, 31431, 16556, 66953, 105335, 25197, 91062, 30512, 126407, 104127, 64121, 38144, 15682, 9174, 14711, 350, 3204, 8812, 52, 14, 106901, 80805, 78683, 106240, 9458, 22398, 80805, 198, 64803, 32307, 95598, 104328, 16144, 50834, 16144, 123646, 105048, 30512, 38129, 56051, 5486, 112618, 96452, 112193, 26854, 112603, 38574, 29295, 115003, 231, 102800, 17701, 118959, 21403, 97, 9174, 118959, 101837, 121, 109156, 104028, 19732, 5486, 119515, 105469, 20230, 96412, 102189, 106384, 20251, 109482, 105404, 16144, 102765, 31431, 29295, 118809, 33710, 103202, 20230, 108285, 29295, 31431, 33541, 9174, 15120, 110898, 16556, 17, 56040, 18, 18904, 33655, 105262, 105879, 5486, 47260, 22398, 80805, 32977, 104712, 125651, 9174, 567, 220, 123011, 62004, 198, 105466, 107809, 30512, 105564, 126145, 126976, 71289, 32149, 16556, 120208, 29295, 104712, 104468, 5486, 76505, 104680, 55031, 106384, 20251, 109482, 105404, 29295, 102404, 21990, 103792, 55031, 38641, 9174, 32977, 107173, 107118, 5486, 111398, 76505, 29295, 48915, 114737, 55031, 96356, 30512, 106154, 30369, 113009, 102404, 107471, 107726, 100934, 53953, 105284, 119627, 106116, 102765, 31431, 102052, 17792, 30512, 37823, 32131, 107840, 124545, 23706, 240, 15024, 8239, 114503, 115991, 33541, 9174, 105140, 75267, 15682, 106384, 20251, 109482, 105404, 16144, 33857, 29295, 127181, 39177, 23538, 26854, 105879, 5486, 37823, 123646, 116219, 16144, 113009, 105466, 102138, 118959, 120650, 119064, 32977, 33334, 125683, 62004, 38641, 9174, 106384, 20251, 109482, 105404, 15682, 39880, 42634, 68759, 90962, 106696, 71289, 17701, 118959, 21403, 97, 104309, 124905, 76947, 5486, 37026, 110362, 16556, 102765, 31431, 30512, 126407, 104004, 115789, 108608, 105879, 124563, 107188, 32149, 109683, 107809, 120650, 124324, 110018, 15682, 5486, 112371, 104328, 106081, 39926, 64121, 38144, 72315, 101832, 1811, 128001, 128000, 567, 52561, 103, 115801, 9080, 80195, 126507, 57933, 29220, 101335, 42634, 76428, 106240, 112212, 20834, 112622, 103646, 66378, 110008, 198, 567, 110147, 45829, 101911, 110240, 55723, 123128, 198, 11144, 111681, 104482, 11199, 52884, 93488, 119557, 126867, 120115, 91482, 103202, 16144, 118487, 33121, 29295, 21990, 100204, 100604, 120115, 101911, 110240, 55723, 123128, 30512, 104908, 54926, 100909, 9174, 11144, 50338, 104662, 46034, 38574, 11199, 120115, 91482, 103202, 30512, 54322, 105644, 54926, 120115, 103842, 225, 19732, 5486, 120115, 91482, 103202, 16144, 83799, 103397, 30512, 13153, 83799, 54926, 43240, 104091, 16144, 13153, 83799, 123222, 29295, 86867, 103646, 39880, 80805, 113335, 68581, 19732, 5486, 121507, 56051, 13153, 83799, 123222, 16144, 70141, 50834, 20230, 25580, 61304, 120115, 91482, 103202, 30512, 115598, 70141, 124545, 13153, 83799, 115598, 70141, 32648, 125845, 15120, 106885, 115598, 70141, 32648, 19732, 5486, 106081, 42506, 20230, 120115, 91482, 103202, 30512, 102867, 105644, 21105, 103, 16995, 110018, 15682, 120115, 91482, 103202, 16144, 126954, 30512, 30250, 106, 30369, 103359, 53953, 58254, 252, 111842, 5486, 103359, 53953, 58254, 252, 31431, 113468, 120115, 91482, 103202, 29295, 30250, 106, 110071, 104466, 120115, 91482, 103202, 20230, 115598, 70141, 119707, 105784, 52884, 93488, 119557, 46034, 38574, 19732, 30512, 19361, 15024, 5486, 13153, 83799, 115598, 70141, 125845, 15120, 106885, 115598, 70141, 16144, 103188, 110968, 109904, 115598, 70141, 101721, 121819, 111848, 120115, 91482, 103202, 16144, 106627, 100818, 116, 112169, 20230, 106608, 100204, 38144, 25580, 61304, 52884, 93488, 119557, 46034, 38574, 16144, 115598, 70141, 112169, 30512, 104721, 105262, 106592, 66378, 17599, 112, 117408, 9174, 565, 10110, 125821, 98499, 104004, 7705, 12423, 567, 9085, 105505, 67178, 101275, 70141, 76622, 121101, 123141, 198, 11144, 111681, 104482, 11199, 88356, 107740, 34171, 29295, 45736, 47884, 5486, 67016, 32977, 71493, 105335, 68759, 122624, 15024, 126172, 47884, 5486, 104010, 40452, 30046, 5486, 21990, 106518, 40452, 30046, 50667, 16144, 109713, 70563, 72369, 108337, 17620, 102212, 16144, 72238, 114754, 91482, 115478, 107908, 20230, 105994, 104067, 16144, 121101, 30512, 23187, 104577, 103082, 5486, 122401, 47260, 71634, 30512, 103167, 114485, 54926, 105908, 108608, 105107, 67178, 101275, 70141, 76622, 16144, 121101, 123141, 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 ]
[ 106691, 109904, 107461, 101335, 62903, 102052, 5486, 19481, 12, 71493, 76428, 101335, 64178, 19732, 127173, 104028, 13153, 17620, 29295, 96412, 17129, 106824, 61689, 9174, 20251, 45923, 68759, 103223, 71289, 76739, 118091, 68759, 103223, 102052, 5486, 120379, 95221, 112854, 17129, 15024, 108176, 103672, 33710, 102750, 90962, 64178, 102677, 13153, 17620, 29295, 5486, 107461, 66953, 71289, 102750, 78525, 47260, 102052, 108324, 115686, 34171, 16144, 126574, 107461, 101335, 62903, 78459, 90962, 64178, 29295, 96412, 17129, 106824, 61689, 10110, 121846, 5232, 106384, 20251, 109482, 105404, 116945, 32131, 103672, 13177, 106384, 20251, 109482, 105404, 10646, 123505, 108729, 112535, 15120, 118821, 111398, 76505, 102052, 16995, 47884, 59739, 116421, 13153, 17620, 29295, 96412, 17129, 115032, 105879, 36896, 107461, 101335, 62903, 78459, 90962, 64178, 105110, 107461, 101335, 62903, 78459, 90962, 64178, 103378, 66383, 95604, 100909, 77181, 124897, 9174, 53900, 5486, 111398, 76505, 16144, 102097, 104754, 33857, 15682, 108285, 105065, 111398, 126036, 13393, 251, 105065, 111398, 120332, 29295, 127181, 19732, 84389, 33541, 10110, 121846, 5232, 105466, 54597, 251, 102216, 105514, 13177, 106384, 20251, 109482, 105404, 19732, 105466, 102138, 118959, 109853, 10646, 123505, 105466, 102138, 118959, 16556, 37823, 32131, 107840, 8239, 114503, 30512, 45736, 109315, 105110, 5486, 107461, 101335, 62903, 71289, 68759, 103223, 104770, 104309, 13393, 251, 105065, 111398, 29295, 127181, 116245, 117158, 32149, 105784, 102083, 117201, 109954, 9174, 567, 113869, 31431, 29295, 104195, 47884, 109020, 39177, 23538, 15682, 5486, 105140, 16144, 103856, 103293, 106609, 106384, 20251, 109482, 105404, 16144, 102765, 31431, 15682, 5486, 21, 56040, 23, 9953, 16144, 39177, 23538, 29295, 125821, 32977, 104195, 115737, 104533, 84389, 5486, 113786, 75267, 15682, 111398, 76505, 16144, 104091, 104770, 114556, 108826, 103470, 5486, 112294, 115464, 101427, 122, 70141, 115991, 33541, 9174, 53900, 112160, 108323, 103732, 104533, 105466, 16144, 102765, 31431, 15682, 103309, 20230, 115079, 21601, 54926, 103846, 5486, 66378, 20230, 103856, 103293, 15682, 102765, 31431, 29295, 104195, 17129, 104533, 84389, 33541, 9174, 105140, 20230, 107391, 108969, 71289, 57933, 52414, 117856, 126198, 110018, 5486, 103293, 16144, 35894, 116499, 80866, 104680, 102800, 104468, 121906, 95604, 114667, 55031, 105321, 125651, 9174, 567, 105026, 57183, 20251, 109482, 105404, 16144, 102765, 31431, 30512, 37026, 110362, 72661, 6447, 33334, 125683, 62004, 41758, 26269, 78525, 30512, 126362, 198, 108324, 115686, 9458, 108055, 115686, 113266, 115991, 5486, 35894, 95221, 32977, 62903, 108748, 116446, 124089, 106384, 20251, 109482, 105404, 125939, 15682, 127331, 124949, 20230, 107734, 80195, 59739, 41758, 26269, 78525, 32977, 121771, 98369, 20834, 127280, 9174, 110382, 77181, 5486, 106384, 20251, 109482, 105404, 124905, 100472, 33334, 125683, 62004, 41758, 26269, 78525, 30512, 126362, 54926, 105879, 5486, 112371, 104328, 37026, 110362, 20230, 16995, 106272, 105466, 16144, 102765, 31431, 16556, 23706, 240, 116216, 64121, 38144, 72315, 106609, 14711, 105026, 57183, 20251, 109482, 105404, 22398, 57326, 110494, 111909, 106, 320, 3101, 1029, 340, 33334, 114834, 71289, 101918, 32943, 5486, 108914, 102754, 107, 101513, 107809, 104309, 111044, 108285, 16995, 57207, 107060, 16556, 33655, 105262, 106384, 20251, 109482, 105404, 22398, 57326, 110494, 9174, 33420, 26274, 255, 9458, 21418, 115686, 9458, 108324, 115686, 121142, 103470, 5486, 103181, 71493, 91482, 9458, 103181, 118633, 8239, 114503, 32977, 57903, 33541, 9174, 106063, 66378, 16144, 102765, 31431, 29295, 54926, 105879, 53901, 64121, 15682, 17620, 32149, 104028, 110229, 119627, 5486, 95221, 108176, 13773, 224, 119178, 107271, 26269, 117408, 121142, 35894, 95221, 30512, 27699, 226, 33208, 39926, 120700, 33541, 9174, 40862, 13153, 43955, 53953, 71289, 116945, 34171, 53953, 105284, 104309, 15682, 112160, 102769, 38129, 109768, 107515, 9174, 14711, 34676, 4695, 5604, 3083, 61094, 11199, 107461, 101335, 62903, 36827, 61994, 33420, 26274, 255, 21418, 115686, 22398, 57326, 110494, 115813, 127020, 11883, 1049, 1029, 198, 109657, 108056, 71289, 31809, 65316, 45829, 67645, 32977, 105352, 51385, 64209, 39926, 33655, 105262, 5486, 36827, 61994, 13153, 17620, 1041, 4, 16144, 33420, 26274, 255, 21418, 115686, 22398, 57326, 110494, 9174, 107908, 47260, 64178, 52591, 102540, 16556, 33334, 104004, 118821, 117733, 26854, 26274, 255, 16995, 32977, 17620, 45829, 44971, 115882, 16556, 17620, 50338, 5486, 33420, 26274, 255, 39926, 120700, 33541, 9174, 106384, 20251, 109482, 105404, 30512, 96412, 104004, 107461, 101335, 62903, 16144, 102765, 31431, 29295, 5486, 103892, 32977, 64209, 32977, 37823, 123646, 116219, 107726, 38144, 124089, 116497, 9174, 33334, 32977, 104702, 71289, 102832, 91482, 38248, 104, 115247, 21418, 115686, 108948, 114834, 16144, 33420, 26274, 255, 20230, 112371, 104328, 106609, 14711, 34676, 102832, 78459, 115882, 102803, 52591, 11199, 115813, 78459, 115882, 101198, 71634, 5421, 107824, 102765, 42506, 117809, 6704, 28857, 26274, 255, 22398, 57326, 110494, 10110, 5154, 1029, 23954, 16, 11, 3101, 14558, 71689, 16144, 122770, 105352, 118935, 11883, 103646, 5486, 107420, 29295, 104736, 109315, 33420, 26274, 255, 22398, 57326, 110494, 38641, 9174, 36827, 61994, 102040, 109229, 13177, 102832, 78459, 115882, 10646, 15682, 122603, 104297, 102765, 53610, 71289, 33208, 90397, 100, 25446, 104309, 105352, 107740, 110731, 117430, 9174, 106390, 44309, 71289, 71493, 111073, 16073, 5486, 47307, 66953, 47260, 5486, 33014, 26274, 255, 104309, 108149, 33503, 106644, 30369, 16937, 102395, 26854, 26274, 255, 117714, 24186, 30512, 50338, 33420, 39926, 120700, 33541, 9174, 116945, 117434, 25446, 30512, 121019, 96412, 104127, 16995, 100604, 105879, 5486, 113614, 29295, 95221, 108176, 24273, 105352, 33334, 125683, 62004, 38641, 57980, 9174, 14711, 105026, 57183, 20251, 16073, 76739, 122776, 37511, 10110, 5608, 12, 1041, 15, 23954, 33748, 123160, 31809, 118347, 61398, 20230, 2243, 112, 100472, 111331, 35894, 95221, 80866, 27699, 226, 101513, 38641, 9174, 117032, 16144, 35894, 95221, 80866, 27699, 226, 101513, 15682, 5486, 76706, 34171, 108602, 72238, 71289, 90962, 118091, 16073, 104309, 30512, 102404, 21990, 107726, 38144, 5486, 35894, 95221, 16325, 16144, 117733, 26854, 26274, 255, 114774, 103429, 53229, 115686, 30512, 13177, 108602, 33208, 48634, 10646, 16556, 21418, 115686, 9458, 33420, 26274, 255, 127145, 9174, 80673, 106116, 104195, 48634, 26854, 108602, 33208, 48634, 15682, 5486, 126101, 107707, 33014, 105352, 117375, 30512, 58318, 105262, 105908, 57903, 33541, 9174, 44620, 106384, 20251, 16073, 76739, 122776, 37511, 36761, 15682, 5486, 35894, 95221, 30512, 21418, 115686, 9458, 33420, 26274, 255, 21105, 103, 29295, 33503, 5486, 33014, 20230, 126521, 102944, 30512, 35894, 95221, 126867, 121771, 98369, 96412, 105823, 38144, 124089, 33671, 101083, 31640, 25287, 16144, 35894, 95221, 80866, 27699, 226, 101513, 38641, 9174, 35894, 95221, 16144, 27699, 226, 33208, 20230, 108602, 33208, 123457, 107740, 21105, 103, 16995, 5486, 1041, 113127, 36827, 61994, 117430, 68171, 37507, 16144, 13153, 17620, 26854, 105879, 5486, 100525, 232, 122924, 98369, 71289, 109657, 108056, 105352, 51385, 64209, 39926, 33655, 58942, 33541, 9174, 81258, 121120, 123628, 37823, 118359, 105335, 25197, 91062, 105352, 33334, 125683, 62004, 16144, 41758, 26269, 78525, 38641, 9174, 14711, 105026, 57183, 20251, 16073, 102663, 39880, 107391, 123546, 198, 105321, 19732, 5486, 106384, 20251, 109482, 105404, 102052, 107391, 123546, 32977, 57903, 33541, 106609, 1041, 4, 36827, 61994, 117430, 13153, 17620, 16144, 106384, 20251, 109482, 105404, 30512, 118314, 123332, 56051, 107391, 123546, 15682, 124563, 109315, 121142, 23018, 30512, 126976, 71289, 111201, 37823, 123646, 116219, 9174, 16144, 67645, 20230, 71289, 30813, 102800, 102040, 109229, 76739, 62903, 22398, 32977, 127730, 116216, 61689, 9174, 37823, 70563, 84477, 96455, 2721, 4, 19732, 40526, 47260, 101198, 126909, 32977, 126574, 76739, 78459, 113821, 47043, 38641, 9174, 14711, 105026, 57183, 20251, 16073, 19481, 9458, 96452, 123577, 32131, 33710, 90962, 106696, 508, 1029, 198, 64209, 51385, 33503, 104699, 105466, 102138, 16144, 102765, 31431, 29295, 108285, 29295, 30369, 5486, 96452, 123577, 32131, 33710, 90962, 106696, 9174, 53229, 21990, 102138, 29295, 108618, 30369, 102571, 101704, 102687, 16144, 35894, 95221, 30512, 123604, 20230, 122401, 84389, 79721, 9174, 37087, 966, 104091, 104770, 16144, 111398, 76505, 55031, 116602, 118158, 102097, 104754, 102052, 5486, 119515, 105469, 26854, 106384, 20251, 109482, 105404, 29295, 96412, 17129, 106824, 61689, 9174, 33334, 104346, 17857, 224, 20230, 120065, 17701, 103468, 31431, 5486, 103906, 116219, 20230, 96412, 105823, 38144, 121120, 30369, 125344, 20119, 243, 24186, 20230, 22324, 102334, 31431, 39926, 5486, 47884, 59739, 85791, 105557, 16144, 82973, 30512, 103188, 48154, 39926, 64121, 38144, 112987, 32149, 29295, 123253, 95532, 14711, 88150, 362, 3039, 108791, 65575, 103857, 52591, 72369, 38248, 114, 11972, 109778, 250, 220, 1041, 1029, 198, 91774, 28713, 30832, 32977, 33334, 116826, 33121, 16556, 5486, 76171, 57933, 104612, 103306, 32977, 33334, 125683, 62004, 16144, 41758, 26269, 78525, 9174, 106384, 20251, 109482, 105404, 30512, 96412, 104004, 36827, 61994, 107461, 101335, 62903, 102097, 104754, 30512, 104356, 20230, 5486, 107461, 66953, 71289, 60868, 108506, 33710, 65299, 105404, 104309, 23706, 240, 15024, 30512, 60868, 121057, 54926, 102765, 31431, 30512, 52884, 44971, 102860, 121256, 9174, 33334, 114834, 71289, 114797, 97518, 20230, 27929, 104043, 22324, 102532, 33334, 47884, 121142, 5486, 23706, 240, 119432, 35894, 56965, 29295, 125545, 57980, 9174, 14711, 107732, 39084, 16144, 105466, 110502, 100, 106644, 198, 34208, 64209, 36117, 95, 104028, 80805, 26269, 102663, 78767, 16556, 13177, 108285, 102687, 41758, 105404, 68408, 126590, 108363, 10646, 32977, 101682, 108363, 56051, 17701, 118959, 21403, 97, 9174, 38129, 103792, 104521, 101701, 109778, 250, 102097, 104754, 15682, 5486, 53610, 39084, 16144, 105466, 102718, 102647, 20230, 102647, 81219, 103468, 76505, 104858, 58911, 16144, 85300, 100, 50834, 53610, 19732, 106116, 105466, 16556, 101662, 100472, 107461, 101335, 62903, 16144, 56965, 17885, 238, 103234, 30512, 53610, 103858, 116, 95221, 103858, 116, 104650, 25333, 16556, 116602, 118158, 102944, 38641, 9174, 15120, 117073, 105721, 78183, 112586, 5486, 106644, 121710, 111842, 105466, 102138, 16144, 102765, 31431, 16556, 66953, 105335, 25197, 91062, 30512, 126407, 104127, 64121, 38144, 15682, 9174, 14711, 350, 3204, 8812, 52, 14, 106901, 80805, 78683, 106240, 9458, 22398, 80805, 198, 64803, 32307, 95598, 104328, 16144, 50834, 16144, 123646, 105048, 30512, 38129, 56051, 5486, 112618, 96452, 112193, 26854, 112603, 38574, 29295, 115003, 231, 102800, 17701, 118959, 21403, 97, 9174, 118959, 101837, 121, 109156, 104028, 19732, 5486, 119515, 105469, 20230, 96412, 102189, 106384, 20251, 109482, 105404, 16144, 102765, 31431, 29295, 118809, 33710, 103202, 20230, 108285, 29295, 31431, 33541, 9174, 15120, 110898, 16556, 17, 56040, 18, 18904, 33655, 105262, 105879, 5486, 47260, 22398, 80805, 32977, 104712, 125651, 9174, 567, 220, 123011, 62004, 198, 105466, 107809, 30512, 105564, 126145, 126976, 71289, 32149, 16556, 120208, 29295, 104712, 104468, 5486, 76505, 104680, 55031, 106384, 20251, 109482, 105404, 29295, 102404, 21990, 103792, 55031, 38641, 9174, 32977, 107173, 107118, 5486, 111398, 76505, 29295, 48915, 114737, 55031, 96356, 30512, 106154, 30369, 113009, 102404, 107471, 107726, 100934, 53953, 105284, 119627, 106116, 102765, 31431, 102052, 17792, 30512, 37823, 32131, 107840, 124545, 23706, 240, 15024, 8239, 114503, 115991, 33541, 9174, 105140, 75267, 15682, 106384, 20251, 109482, 105404, 16144, 33857, 29295, 127181, 39177, 23538, 26854, 105879, 5486, 37823, 123646, 116219, 16144, 113009, 105466, 102138, 118959, 120650, 119064, 32977, 33334, 125683, 62004, 38641, 9174, 106384, 20251, 109482, 105404, 15682, 39880, 42634, 68759, 90962, 106696, 71289, 17701, 118959, 21403, 97, 104309, 124905, 76947, 5486, 37026, 110362, 16556, 102765, 31431, 30512, 126407, 104004, 115789, 108608, 105879, 124563, 107188, 32149, 109683, 107809, 120650, 124324, 110018, 15682, 5486, 112371, 104328, 106081, 39926, 64121, 38144, 72315, 101832, 1811, 128001, 128000, 567, 52561, 103, 115801, 9080, 80195, 126507, 57933, 29220, 101335, 42634, 76428, 106240, 112212, 20834, 112622, 103646, 66378, 110008, 198, 567, 110147, 45829, 101911, 110240, 55723, 123128, 198, 11144, 111681, 104482, 11199, 52884, 93488, 119557, 126867, 120115, 91482, 103202, 16144, 118487, 33121, 29295, 21990, 100204, 100604, 120115, 101911, 110240, 55723, 123128, 30512, 104908, 54926, 100909, 9174, 11144, 50338, 104662, 46034, 38574, 11199, 120115, 91482, 103202, 30512, 54322, 105644, 54926, 120115, 103842, 225, 19732, 5486, 120115, 91482, 103202, 16144, 83799, 103397, 30512, 13153, 83799, 54926, 43240, 104091, 16144, 13153, 83799, 123222, 29295, 86867, 103646, 39880, 80805, 113335, 68581, 19732, 5486, 121507, 56051, 13153, 83799, 123222, 16144, 70141, 50834, 20230, 25580, 61304, 120115, 91482, 103202, 30512, 115598, 70141, 124545, 13153, 83799, 115598, 70141, 32648, 125845, 15120, 106885, 115598, 70141, 32648, 19732, 5486, 106081, 42506, 20230, 120115, 91482, 103202, 30512, 102867, 105644, 21105, 103, 16995, 110018, 15682, 120115, 91482, 103202, 16144, 126954, 30512, 30250, 106, 30369, 103359, 53953, 58254, 252, 111842, 5486, 103359, 53953, 58254, 252, 31431, 113468, 120115, 91482, 103202, 29295, 30250, 106, 110071, 104466, 120115, 91482, 103202, 20230, 115598, 70141, 119707, 105784, 52884, 93488, 119557, 46034, 38574, 19732, 30512, 19361, 15024, 5486, 13153, 83799, 115598, 70141, 125845, 15120, 106885, 115598, 70141, 16144, 103188, 110968, 109904, 115598, 70141, 101721, 121819, 111848, 120115, 91482, 103202, 16144, 106627, 100818, 116, 112169, 20230, 106608, 100204, 38144, 25580, 61304, 52884, 93488, 119557, 46034, 38574, 16144, 115598, 70141, 112169, 30512, 104721, 105262, 106592, 66378, 17599, 112, 117408, 9174, 565, 10110, 125821, 98499, 104004, 7705, 12423, 567, 9085, 105505, 67178, 101275, 70141, 76622, 121101, 123141, 198, 11144, 111681, 104482, 11199, 88356, 107740, 34171, 29295, 45736, 47884, 5486, 67016, 32977, 71493, 105335, 68759, 122624, 15024, 126172, 47884, 5486, 104010, 40452, 30046, 5486, 21990, 106518, 40452, 30046, 50667, 16144, 109713, 70563, 72369, 108337, 17620, 102212, 16144, 72238, 114754, 91482, 115478, 107908, 20230, 105994, 104067, 16144, 121101, 30512, 23187, 104577, 103082, 5486, 122401, 47260, 71634, 30512, 103167, 114485, 54926, 105908, 108608, 105107, 67178, 101275, 70141, 76622, 16144, 121101, 123141, 30512 ]
[ 103350, 102321, 54926, 9174, 11144, 50338, 104662, 46034, 38574, 11199, 121101, 123141, 121432, 103350, 23039, 101513, 106391, 20713, 34363, 20713, 46702, 15682, 121432, 57933, 121294, 20713, 34363, 20713, 34617, 16144, 44915, 30512, 50338, 13393, 230, 15024, 121101, 16144, 121432, 103350, 23039, 101513, 106391, 20713, 34363, 20713, 60596, 20230, 77413, 87447, 15024, 17701, 48634, 108134, 118551, 34048, 20713, 34363, 20713, 66115, 127253, 80805, 32131, 39850, 108337, 108134, 118551, 34048, 20713, 34363, 20713, 68093, 55031, 108134, 30512, 17701, 48634, 15024, 20834, 48634, 108134, 118551, 34048, 20713, 34363, 81191, 20230, 117120, 22649, 113702, 108134, 30512, 20834, 48634, 39926, 123259, 114172, 108134, 118551, 34048, 20713, 34363, 25963, 25963, 20230, 121101, 117120, 22649, 113702, 123259, 114172, 108134, 30512, 35083, 108446, 107726, 121432, 31634, 72238, 104336, 20713, 34363, 78250, 16144, 102208, 31634, 72238, 113115, 106608, 54926, 103350, 23039, 101513, 106391, 30512, 121432, 103350, 23039, 101513, 106391, 104336, 20713, 34363, 20713, 44597, 20230, 116974, 39926, 72718, 91875, 15024, 121101, 121432, 16144, 117120, 22649, 30512, 103350, 23039, 54926, 1811, 17701, 48634, 108134, 118551, 34048, 20713, 34363, 20713, 66115, 15682, 108134, 17701, 48634, 101513, 32648, 20713, 34363, 20713, 66224, 55031, 53229, 108321, 17701, 107086, 108134, 50667, 30512, 108167, 104526, 104004, 1811, 108134, 118551, 34048, 20713, 34363, 20713, 68093, 15682, 17701, 48634, 101513, 32648, 20713, 34363, 20713, 66224, 55031, 25446, 30832, 5486, 116245, 50667, 16144, 121432, 16144, 104873, 64531, 117824, 30297, 80805, 32131, 39850, 108337, 108134, 30512, 108167, 104526, 104004, 9174, 567, 104626, 99, 42506, 16144, 106596, 41007, 105110, 102802, 20230, 106596, 123128, 127253, 106839, 17701, 41007, 198, 115351, 101721, 56051, 106081, 42506, 30512, 106596, 123128, 20230, 101721, 95221, 112535, 106839, 17701, 39926, 106596, 117824, 30297, 41007, 121960, 5486, 106081, 42506, 30512, 96412, 104004, 122026, 107654, 20230, 101721, 111600, 114792, 100472, 53953, 105284, 30512, 43955, 15024, 110371, 101721, 111600, 114792, 100472, 53953, 105284, 16144, 43955, 33857, 30512, 104873, 107792, 54926, 100909, 112212, 5486, 106081, 42506, 16144, 106596, 123128, 111363, 106839, 17701, 33857, 30512, 104873, 64531, 54926, 1811, 106081, 42506, 106839, 17701, 33857, 15682, 101721, 111600, 114792, 100472, 53953, 105284, 16144, 127919, 27479, 20230, 95543, 124560, 54926, 113637, 101721, 111600, 114792, 100472, 53953, 105284, 16144, 45736, 127919, 27479, 20230, 104873, 64531, 56051, 122026, 107654, 30512, 5486, 50034, 31809, 26854, 106081, 42506, 30512, 96412, 104004, 37729, 32648, 20230, 110993, 50034, 33857, 103378, 43955, 54926, 118733, 5486, 106081, 42506, 106839, 17701, 33857, 30512, 119237, 20230, 104873, 107792, 54926, 105908, 108608, 1811, 123532, 76947, 122603, 127919, 27479, 16144, 106596, 106081, 42506, 16144, 53229, 107654, 30512, 104437, 13393, 230, 21105, 103, 47884, 111243, 101721, 111600, 114792, 100472, 53953, 105284, 30512, 43955, 54926, 100909, 112212, 106081, 42506, 106839, 17701, 33857, 30512, 104873, 107792, 54926, 105908, 108608, 118855, 5486, 106081, 42506, 104873, 64531, 30512, 96412, 104004, 115681, 106596, 123128, 121960, 123213, 104873, 64531, 25333, 30512, 11883, 107991, 118733, 5486, 106081, 42506, 30512, 104437, 13393, 230, 54926, 104010, 30512, 106649, 123332, 15024, 5486, 106081, 42506, 30512, 104437, 13393, 230, 54926, 124122, 118347, 61398, 30512, 66870, 105838, 33208, 108608, 1811, 122270, 5486, 50338, 98871, 16144, 113702, 5486, 108867, 23187, 56051, 106081, 42506, 29295, 108867, 23187, 119318, 116310, 48915, 115287, 107803, 5486, 115681, 112535, 88356, 50338, 98871, 117824, 30297, 105908, 108608, 9174, 567, 59363, 33014, 106081, 42506, 16144, 106596, 41007, 5486, 95543, 106608, 107654, 5486, 127253, 106596, 123128, 198, 25963, 104091, 104770, 71689, 16144, 21990, 33014, 106081, 42506, 30512, 40862, 13153, 15024, 5486, 40862, 13153, 103646, 21990, 33014, 106081, 42506, 20230, 5486, 104091, 104770, 103283, 20230, 103682, 101544, 16144, 108901, 109020, 105888, 109375, 30512, 47000, 21601, 15024, 108048, 120577, 105888, 109375, 30512, 111800, 20834, 54926, 100909, 112212, 5486, 21990, 33014, 106081, 42506, 30512, 106596, 54926, 113637, 106596, 121960, 5486, 21990, 33014, 106081, 42506, 16144, 105888, 109375, 16144, 111800, 20834, 104195, 27479, 30512, 5486, 21990, 33014, 106081, 42506, 16144, 104091, 104770, 103283, 20230, 104873, 64531, 15024, 5486, 66378, 20230, 111800, 20834, 107001, 105888, 109375, 16144, 117591, 5486, 103682, 101544, 115351, 103438, 29295, 43511, 24273, 16144, 105888, 109375, 20230, 117375, 30512, 82317, 109416, 17663, 27479, 40862, 117714, 119448, 16995, 24273, 16144, 111800, 20834, 104195, 27479, 30512, 112294, 109315, 1811, 118789, 9554, 107328, 103826, 103306, 15682, 5486, 25963, 104091, 104770, 71689, 16144, 21990, 33014, 106081, 42506, 30512, 40862, 13153, 15024, 106116, 40862, 13153, 20230, 11883, 107991, 53953, 105284, 10110, 40862, 13153, 11883, 53953, 105284, 7705, 20230, 111476, 104091, 104770, 103283, 20230, 103682, 101544, 16144, 108901, 109020, 105888, 109375, 30512, 47000, 21601, 54926, 32149, 58291, 16995, 15682, 105888, 109375, 102971, 40862, 11883, 122483, 30512, 47000, 21601, 54926, 100909, 112212, 5486, 21990, 33014, 106081, 42506, 30512, 40862, 13153, 103188, 39607, 58291, 16995, 15682, 40862, 13153, 123090, 105888, 109375, 33208, 54926, 124845, 5486, 83747, 103470, 107173, 58291, 30369, 15120, 104091, 104770, 16144, 40862, 13153, 11883, 53953, 105284, 20230, 47000, 21601, 107001, 105888, 109375, 58291, 16995, 15682, 105888, 109375, 102971, 40862, 11883, 122483, 16144, 33857, 10110, 47000, 21601, 96455, 7705, 30512, 5486, 127177, 104091, 104770, 16144, 40862, 13153, 11883, 53953, 105284, 20230, 47000, 21601, 107001, 105888, 109375, 58291, 16995, 15682, 105888, 109375, 102971, 40862, 11883, 122483, 126036, 83747, 103470, 109020, 104466, 104873, 64531, 39926, 5486, 21990, 33014, 106081, 42506, 30512, 105888, 109375, 33208, 54926, 113637, 104466, 126693, 5486, 72237, 108602, 123160, 21990, 33014, 106081, 42506, 16144, 106596, 121960, 5486, 115963, 20230, 109242, 9039, 104091, 16144, 105888, 109375, 30512, 108867, 23187, 120837, 5486, 105888, 109375, 42016, 101559, 16144, 103682, 101544, 115351, 103438, 16144, 30358, 26854, 31431, 30512, 126128, 44416, 39926, 5486, 23187, 34171, 15682, 53508, 123, 105242, 16144, 100909, 23187, 33857, 106596, 32977, 102097, 27479, 103424, 47884, 23039, 16995, 50928, 30369, 9174, 567, 52561, 116, 108602, 106596, 41007, 5486, 72237, 108602, 106596, 11883, 64810, 33710, 108948, 119517, 72237, 108602, 106596, 123128, 198, 110904, 15120, 60868, 108969, 33710, 123727, 109242, 9039, 104091, 104770, 16144, 47307, 38248, 110, 67075, 113115, 15024, 106116, 115079, 111044, 19732, 102159, 104680, 16144, 111800, 20834, 30512, 115963, 120650, 30297, 100909, 112212, 5486, 112825, 102924, 9458, 51385, 95001, 16556, 122603, 102097, 27479, 16144, 115514, 108044, 45829, 102404, 102321, 50338, 98871, 41007, 30512, 104908, 54926, 1811, 78459, 103830, 32943, 20230, 126287, 77195, 30512, 102159, 103283, 20230, 44416, 109088, 88367, 26854, 24775, 55723, 30512, 109242, 9039, 102332, 198, 76622, 108048, 120577, 24775, 55723, 30512, 5486, 72237, 108602, 115079, 111044, 11883, 5486, 127253, 111800, 20834, 11883, 20230, 107740, 54926, 100909, 112212, 5486, 110904, 15120, 78459, 103830, 32943, 16556, 115079, 111044, 19732, 111800, 20834, 30512, 115963, 23039, 30297, 118855, 5486, 115079, 111044, 24775, 55723, 127253, 111800, 20834, 24775, 55723, 15682, 109242, 9039, 57903, 5486, 32149, 59739, 37087, 38144, 118326, 20230, 126287, 77195, 30512, 122074, 108608, 103846, 5486, 110904, 15120, 60868, 108969, 33710, 123727, 109242, 9039, 104091, 104770, 16144, 113173, 53953, 30512, 112160, 106885, 16556, 115079, 111044, 127253, 111800, 20834, 54926, 105908, 88367, 103195, 1811, 115079, 111044, 19732, 111800, 20834, 29295, 115963, 120650, 105262, 103846, 5486, 107740, 29295, 112825, 102924, 116787, 5486, 47260, 71634, 103167, 114485, 105352, 108385, 58318, 54926, 118855, 5486, 109242, 9039, 16144, 113173, 53953, 107407, 107803, 5486, 60868, 108969, 33710, 30512, 31809, 17620, 76622, 54926, 109215, 119703, 103846, 5486, 111800, 20834, 99750, 27479, 29295, 126574, 1811, 128001, 128000, 2, 102362, 104770, 16144, 72342, 117201, 13177, 91875, 117430, 1041, 32307, 104091, 29295, 115924, 121143, 109688, 101513, 10646, 104023, 29504, 89046, 36668, 113497, 38093, 40862, 198, 68759, 67075, 120456, 111134, 22398, 117501, 126913, 104817, 43167, 114373, 10110, 80805, 37823, 23954, 29504, 89046, 117501, 82420, 55723, 10110, 1899, 9377, 7705, 36668, 113497, 16144, 105212, 56965, 38093, 40862, 15682, 21, 9080, 5486, 17792, 104770, 29295, 111059, 56235, 35894, 16556, 109683, 117501, 19732, 112027, 43240, 103826, 34171, 20230, 127258, 121143, 109904, 76537, 107666, 30512, 58318, 58942, 100934, 19732, 104970, 58655, 56051, 9174, 102616, 9413, 71493, 125525, 105212, 29295, 110284, 54926, 13177, 112027, 43240, 103826, 34171, 127253, 21990, 107328, 39276, 125175, 123863, 105212, 56965, 108396, 113495, 125540, 67075, 108526, 103202, 116326, 3378, 33, 1600, 119735, 5486, 17792, 104770, 16144, 112415, 113468, 103664, 1041, 32307, 104091, 16144, 91875, 117430, 29295, 115924, 121143, 109688, 101513, 20230, 115143, 110731, 19732, 104970, 58655, 54926, 5486, 120270, 102181, 30512, 125053, 56051, 9174, 109683, 117501, 15682, 127960, 17905, 16144, 30591, 33503, 106644, 30369, 116245, 16556, 32149, 59739, 38144, 100604, 113053, 16556, 13079, 108, 56906, 126020, 106116, 112366, 16144, 113385, 15682, 17792, 104770, 16144, 102456, 100853, 100, 19732, 76739, 124643, 104603, 11972, 86206, 29295, 26955, 94, 27384, 15024, 106307, 76622, 100934, 55031, 36785, 102677, 9174, 3378, 33, 1600, 15682, 110371, 13079, 108, 56906, 16144, 91875, 50834, 15682, 102456, 16995, 82533, 109315, 105908, 108608, 102944, 16144, 108048, 102052, 17792, 104770, 16144, 109683, 16144, 97518, 116547, 24273, 29295, 37087, 115070, 32149, 59739, 13177, 113487, 22656, 112535, 104721, 33208, 10646, 54926, 109215, 107407, 19732, 102971, 105242, 103792, 9174, 5245, 15, 122481, 20230, 82317, 104369, 3378, 33, 1600, 120270, 102181, 15682, 5486, 16, 32307, 2636, 15, 28542, 16144, 109544, 30512, 18, 8107, 122756, 78183, 115926, 102473, 104873, 112984, 56051, 102944, 16144, 43167, 27384, 13153, 1811, 86127, 126027, 114407, 19967, 53953, 114475, 110918, 54926, 102040, 78459, 5486, 74090, 45826, 234, 20230, 53610, 30512, 105623, 226, 58942, 119494, 53610, 30512, 103181, 104699, 105466, 102138, 104309, 5486, 114516, 16144, 112415, 29295, 105994, 126027, 106222, 30512, 46456, 105262, 109683, 117501, 58426, 102944, 30512, 105150, 127258, 103792, 103826, 45829, 30512, 5486, 120270, 102181, 15682, 31958, 33503, 111201, 103792, 9174, 13177, 113495, 122074, 112919, 103846, 66383, 39926, 5486, 80805, 37823, 38093, 40862, 16556, 125053, 103646, 1272, 122481, 16144, 31634, 103664, 15682, 110371, 127960, 67016, 101987, 104004, 116245, 16144, 100604, 17792, 104770, 125001, 111201, 127960, 30512, 118448, 25766, 225, 107726, 38144, 105898, 32149, 5486, 32149, 59739, 38144, 100604, 108680, 104195, 48634, 20230, 100853, 122, 119375, 103792, 9174, 105184, 111201, 114172, 102512, 17905, 5486, 17792, 104770, 15682, 40053, 20230, 127960, 117501, 20230, 117375, 30512, 58318, 107290, 105898, 102944, 16144, 5486, 32149, 59739, 38144, 15682, 32149, 17663, 31431, 114218, 20230, 103188, 105557, 104435, 102944, 29295, 5486, 103188, 86436, 1135, 116358, 114516, 112415, 113468, 127960, 117501, 29295, 109972, 100472, 114218, 15682, 110993, 107436, 30358, 114218, 16556, 102987, 106145, 118816, 31634, 103664, 15682, 64467, 112419, 103792, 9174, 4468, 15, 8107, 123434, 5486, 102616, 113073, 15682, 98406, 115079, 15024, 5486, 102616, 106613, 111587, 16144, 106045, 54872, 15682, 19, 98406, 20230, 13153, 101544, 15024, 5486, 127123, 80631, 123, 87844, 16144, 33857, 15682, 605, 98406, 20230, 115079, 107800, 113637, 104735, 101, 33121, 115442, 30369, 17792, 104770, 20230, 114392, 26854, 102456, 42506, 19732, 105060, 104770, 19732, 76739, 124643, 104603, 11972, 30512, 58318, 105262, 103846, 5486, 102208, 30590, 16556, 105466, 102138, 29295, 121602, 47884, 108680, 16144, 99695, 61398, 16556, 125174, 105987, 116216, 105898, 1811, 66378, 20230, 107969, 115351, 119208, 16144, 105466, 102138, 29295, 114318, 38144, 59739, 126758, 99695, 61398, 16556, 114485, 83747, 103792, 9174, 3753, 15, 8107, 55031, 1049, 15, 116358, 122756, 21388, 125167, 107969, 115351, 102138, 16144, 124175, 15682, 5486, 16, 117913, 108768, 29220, 47307, 64178, 20230, 82317, 104369, 1811, 59563, 73361, 113245, 118785, 40198, 250, 19732, 101778, 59563, 39880, 125581, 16144, 80805, 103202, 104754, 21990, 106518, 29295, 106116, 36668, 26854, 113385, 36785, 9174, 105466, 102138, 105755, 122270, 105150, 127258, 16144, 27479, 40862, 16995, 29295, 104328, 67645, 16995, 112973, 122539, 30590, 115351, 16556, 5486, 8258, 15, 116033, 105693, 122539, 30590, 115351, 16144, 117591, 1049, 15, 8107, 105352, 108618, 106358, 104468, 1032, 113127, 20230, 103188, 105557, 100604, 9174, 102208, 29504, 16556, 113949, 34048, 15682, 105047, 95399, 20230, 26955, 94, 27384, 15024, 5486, 113949, 119208, 16144, 124175, 15682, 2550, 17, 8107, 55031, 98406, 115079, 56051, 9174, 17792, 104770, 16144, 108895, 56051, 112415, 113468, 5486, 32149, 59739, 38144, 100604, 108680, 122333, 16144, 112027, 104091, 29295, 102625, 121143, 103792, 9174, 120270, 102181, 103732, 104533, 5486, 91875, 117430, 16144, 914, 113127, 16144, 104091, 29295, 115924, 121143, 16144, 109688, 101513, 20230, 115143, 110731, 9174, 11881, 228, 118633, 111363, 127960, 106045, 54872, 16144, 117375, 15682, 17620, 32149, 107462, 100604, 29295, 5486, 119208, 113468, 11881, 228, 118633, 29295, 105047, 95399, 20230, 106266, 114485, 103792, 103826, 124863, 50520, 111, 106624, 61304, 108565, 110731, 9174, 103826, 104680, 26854, 102321, 47523, 30512, 110022, 40862, 39926, 5486, 3378, 33, 1600, 15682, 103664, 1041, 32307, 104091, 16144, 91875, 117430, 29295, 9039, 95598, 116358, 117591, 20230, 115924, 121143, 112990, 104970, 58655, 113637, 115924, 121143, 16144, 99695, 61398, 15682, 103188, 86436, 1041, 15, 32307, 116358, 115274, 105755, 605, 98406, 55031, 1041, 98406, 95399, 16995, 102677, 9174, 120270, 102181, 16144, 105156, 106885, 116043, 116882, 113160, 49988, 112919, 16, 17792, 5486, 73361, 101198, 102750, 102741, 47307, 102667, 16144, 102663, 78983, 9458, 110101, 65299, 111817, 121987, 15682, 36896, 112027, 43240, 103826, 34171, 19732, 109683, 29295, 117475, 112649, 59739, 38144, 100604, 108680, 13079, 108, 56906, 103792, 103826, 45829, 30512, 61304, 108565, 56051, 1811, 13079, 108, 56906, 16144, 99695, 61398, 71289, 101171, 227, 105578, 16144, 106045, 54872, 102677, 115552, 16556, 5486, 17792, 104770, 102512, 17905, 51330, 105933, 102321 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 103350, 102321, 54926, 9174, 11144, 50338, 104662, 46034, 38574, 11199, 121101, 123141, 121432, 103350, 23039, 101513, 106391, 20713, 34363, 20713, 46702, 15682, 121432, 57933, 121294, 20713, 34363, 20713, 34617, 16144, 44915, 30512, 50338, 13393, 230, 15024, 121101, 16144, 121432, 103350, 23039, 101513, 106391, 20713, 34363, 20713, 60596, 20230, 77413, 87447, 15024, 17701, 48634, 108134, 118551, 34048, 20713, 34363, 20713, 66115, 127253, 80805, 32131, 39850, 108337, 108134, 118551, 34048, 20713, 34363, 20713, 68093, 55031, 108134, 30512, 17701, 48634, 15024, 20834, 48634, 108134, 118551, 34048, 20713, 34363, 81191, 20230, 117120, 22649, 113702, 108134, 30512, 20834, 48634, 39926, 123259, 114172, 108134, 118551, 34048, 20713, 34363, 25963, 25963, 20230, 121101, 117120, 22649, 113702, 123259, 114172, 108134, 30512, 35083, 108446, 107726, 121432, 31634, 72238, 104336, 20713, 34363, 78250, 16144, 102208, 31634, 72238, 113115, 106608, 54926, 103350, 23039, 101513, 106391, 30512, 121432, 103350, 23039, 101513, 106391, 104336, 20713, 34363, 20713, 44597, 20230, 116974, 39926, 72718, 91875, 15024, 121101, 121432, 16144, 117120, 22649, 30512, 103350, 23039, 54926, 1811, 17701, 48634, 108134, 118551, 34048, 20713, 34363, 20713, 66115, 15682, 108134, 17701, 48634, 101513, 32648, 20713, 34363, 20713, 66224, 55031, 53229, 108321, 17701, 107086, 108134, 50667, 30512, 108167, 104526, 104004, 1811, 108134, 118551, 34048, 20713, 34363, 20713, 68093, 15682, 17701, 48634, 101513, 32648, 20713, 34363, 20713, 66224, 55031, 25446, 30832, 5486, 116245, 50667, 16144, 121432, 16144, 104873, 64531, 117824, 30297, 80805, 32131, 39850, 108337, 108134, 30512, 108167, 104526, 104004, 9174, 567, 104626, 99, 42506, 16144, 106596, 41007, 105110, 102802, 20230, 106596, 123128, 127253, 106839, 17701, 41007, 198, 115351, 101721, 56051, 106081, 42506, 30512, 106596, 123128, 20230, 101721, 95221, 112535, 106839, 17701, 39926, 106596, 117824, 30297, 41007, 121960, 5486, 106081, 42506, 30512, 96412, 104004, 122026, 107654, 20230, 101721, 111600, 114792, 100472, 53953, 105284, 30512, 43955, 15024, 110371, 101721, 111600, 114792, 100472, 53953, 105284, 16144, 43955, 33857, 30512, 104873, 107792, 54926, 100909, 112212, 5486, 106081, 42506, 16144, 106596, 123128, 111363, 106839, 17701, 33857, 30512, 104873, 64531, 54926, 1811, 106081, 42506, 106839, 17701, 33857, 15682, 101721, 111600, 114792, 100472, 53953, 105284, 16144, 127919, 27479, 20230, 95543, 124560, 54926, 113637, 101721, 111600, 114792, 100472, 53953, 105284, 16144, 45736, 127919, 27479, 20230, 104873, 64531, 56051, 122026, 107654, 30512, 5486, 50034, 31809, 26854, 106081, 42506, 30512, 96412, 104004, 37729, 32648, 20230, 110993, 50034, 33857, 103378, 43955, 54926, 118733, 5486, 106081, 42506, 106839, 17701, 33857, 30512, 119237, 20230, 104873, 107792, 54926, 105908, 108608, 1811, 123532, 76947, 122603, 127919, 27479, 16144, 106596, 106081, 42506, 16144, 53229, 107654, 30512, 104437, 13393, 230, 21105, 103, 47884, 111243, 101721, 111600, 114792, 100472, 53953, 105284, 30512, 43955, 54926, 100909, 112212, 106081, 42506, 106839, 17701, 33857, 30512, 104873, 107792, 54926, 105908, 108608, 118855, 5486, 106081, 42506, 104873, 64531, 30512, 96412, 104004, 115681, 106596, 123128, 121960, 123213, 104873, 64531, 25333, 30512, 11883, 107991, 118733, 5486, 106081, 42506, 30512, 104437, 13393, 230, 54926, 104010, 30512, 106649, 123332, 15024, 5486, 106081, 42506, 30512, 104437, 13393, 230, 54926, 124122, 118347, 61398, 30512, 66870, 105838, 33208, 108608, 1811, 122270, 5486, 50338, 98871, 16144, 113702, 5486, 108867, 23187, 56051, 106081, 42506, 29295, 108867, 23187, 119318, 116310, 48915, 115287, 107803, 5486, 115681, 112535, 88356, 50338, 98871, 117824, 30297, 105908, 108608, 9174, 567, 59363, 33014, 106081, 42506, 16144, 106596, 41007, 5486, 95543, 106608, 107654, 5486, 127253, 106596, 123128, 198, 25963, 104091, 104770, 71689, 16144, 21990, 33014, 106081, 42506, 30512, 40862, 13153, 15024, 5486, 40862, 13153, 103646, 21990, 33014, 106081, 42506, 20230, 5486, 104091, 104770, 103283, 20230, 103682, 101544, 16144, 108901, 109020, 105888, 109375, 30512, 47000, 21601, 15024, 108048, 120577, 105888, 109375, 30512, 111800, 20834, 54926, 100909, 112212, 5486, 21990, 33014, 106081, 42506, 30512, 106596, 54926, 113637, 106596, 121960, 5486, 21990, 33014, 106081, 42506, 16144, 105888, 109375, 16144, 111800, 20834, 104195, 27479, 30512, 5486, 21990, 33014, 106081, 42506, 16144, 104091, 104770, 103283, 20230, 104873, 64531, 15024, 5486, 66378, 20230, 111800, 20834, 107001, 105888, 109375, 16144, 117591, 5486, 103682, 101544, 115351, 103438, 29295, 43511, 24273, 16144, 105888, 109375, 20230, 117375, 30512, 82317, 109416, 17663, 27479, 40862, 117714, 119448, 16995, 24273, 16144, 111800, 20834, 104195, 27479, 30512, 112294, 109315, 1811, 118789, 9554, 107328, 103826, 103306, 15682, 5486, 25963, 104091, 104770, 71689, 16144, 21990, 33014, 106081, 42506, 30512, 40862, 13153, 15024, 106116, 40862, 13153, 20230, 11883, 107991, 53953, 105284, 10110, 40862, 13153, 11883, 53953, 105284, 7705, 20230, 111476, 104091, 104770, 103283, 20230, 103682, 101544, 16144, 108901, 109020, 105888, 109375, 30512, 47000, 21601, 54926, 32149, 58291, 16995, 15682, 105888, 109375, 102971, 40862, 11883, 122483, 30512, 47000, 21601, 54926, 100909, 112212, 5486, 21990, 33014, 106081, 42506, 30512, 40862, 13153, 103188, 39607, 58291, 16995, 15682, 40862, 13153, 123090, 105888, 109375, 33208, 54926, 124845, 5486, 83747, 103470, 107173, 58291, 30369, 15120, 104091, 104770, 16144, 40862, 13153, 11883, 53953, 105284, 20230, 47000, 21601, 107001, 105888, 109375, 58291, 16995, 15682, 105888, 109375, 102971, 40862, 11883, 122483, 16144, 33857, 10110, 47000, 21601, 96455, 7705, 30512, 5486, 127177, 104091, 104770, 16144, 40862, 13153, 11883, 53953, 105284, 20230, 47000, 21601, 107001, 105888, 109375, 58291, 16995, 15682, 105888, 109375, 102971, 40862, 11883, 122483, 126036, 83747, 103470, 109020, 104466, 104873, 64531, 39926, 5486, 21990, 33014, 106081, 42506, 30512, 105888, 109375, 33208, 54926, 113637, 104466, 126693, 5486, 72237, 108602, 123160, 21990, 33014, 106081, 42506, 16144, 106596, 121960, 5486, 115963, 20230, 109242, 9039, 104091, 16144, 105888, 109375, 30512, 108867, 23187, 120837, 5486, 105888, 109375, 42016, 101559, 16144, 103682, 101544, 115351, 103438, 16144, 30358, 26854, 31431, 30512, 126128, 44416, 39926, 5486, 23187, 34171, 15682, 53508, 123, 105242, 16144, 100909, 23187, 33857, 106596, 32977, 102097, 27479, 103424, 47884, 23039, 16995, 50928, 30369, 9174, 567, 52561, 116, 108602, 106596, 41007, 5486, 72237, 108602, 106596, 11883, 64810, 33710, 108948, 119517, 72237, 108602, 106596, 123128, 198, 110904, 15120, 60868, 108969, 33710, 123727, 109242, 9039, 104091, 104770, 16144, 47307, 38248, 110, 67075, 113115, 15024, 106116, 115079, 111044, 19732, 102159, 104680, 16144, 111800, 20834, 30512, 115963, 120650, 30297, 100909, 112212, 5486, 112825, 102924, 9458, 51385, 95001, 16556, 122603, 102097, 27479, 16144, 115514, 108044, 45829, 102404, 102321, 50338, 98871, 41007, 30512, 104908, 54926, 1811, 78459, 103830, 32943, 20230, 126287, 77195, 30512, 102159, 103283, 20230, 44416, 109088, 88367, 26854, 24775, 55723, 30512, 109242, 9039, 102332, 198, 76622, 108048, 120577, 24775, 55723, 30512, 5486, 72237, 108602, 115079, 111044, 11883, 5486, 127253, 111800, 20834, 11883, 20230, 107740, 54926, 100909, 112212, 5486, 110904, 15120, 78459, 103830, 32943, 16556, 115079, 111044, 19732, 111800, 20834, 30512, 115963, 23039, 30297, 118855, 5486, 115079, 111044, 24775, 55723, 127253, 111800, 20834, 24775, 55723, 15682, 109242, 9039, 57903, 5486, 32149, 59739, 37087, 38144, 118326, 20230, 126287, 77195, 30512, 122074, 108608, 103846, 5486, 110904, 15120, 60868, 108969, 33710, 123727, 109242, 9039, 104091, 104770, 16144, 113173, 53953, 30512, 112160, 106885, 16556, 115079, 111044, 127253, 111800, 20834, 54926, 105908, 88367, 103195, 1811, 115079, 111044, 19732, 111800, 20834, 29295, 115963, 120650, 105262, 103846, 5486, 107740, 29295, 112825, 102924, 116787, 5486, 47260, 71634, 103167, 114485, 105352, 108385, 58318, 54926, 118855, 5486, 109242, 9039, 16144, 113173, 53953, 107407, 107803, 5486, 60868, 108969, 33710, 30512, 31809, 17620, 76622, 54926, 109215, 119703, 103846, 5486, 111800, 20834, 99750, 27479, 29295, 126574, 1811, 128001, 128000, 2, 102362, 104770, 16144, 72342, 117201, 13177, 91875, 117430, 1041, 32307, 104091, 29295, 115924, 121143, 109688, 101513, 10646, 104023, 29504, 89046, 36668, 113497, 38093, 40862, 198, 68759, 67075, 120456, 111134, 22398, 117501, 126913, 104817, 43167, 114373, 10110, 80805, 37823, 23954, 29504, 89046, 117501, 82420, 55723, 10110, 1899, 9377, 7705, 36668, 113497, 16144, 105212, 56965, 38093, 40862, 15682, 21, 9080, 5486, 17792, 104770, 29295, 111059, 56235, 35894, 16556, 109683, 117501, 19732, 112027, 43240, 103826, 34171, 20230, 127258, 121143, 109904, 76537, 107666, 30512, 58318, 58942, 100934, 19732, 104970, 58655, 56051, 9174, 102616, 9413, 71493, 125525, 105212, 29295, 110284, 54926, 13177, 112027, 43240, 103826, 34171, 127253, 21990, 107328, 39276, 125175, 123863, 105212, 56965, 108396, 113495, 125540, 67075, 108526, 103202, 116326, 3378, 33, 1600, 119735, 5486, 17792, 104770, 16144, 112415, 113468, 103664, 1041, 32307, 104091, 16144, 91875, 117430, 29295, 115924, 121143, 109688, 101513, 20230, 115143, 110731, 19732, 104970, 58655, 54926, 5486, 120270, 102181, 30512, 125053, 56051, 9174, 109683, 117501, 15682, 127960, 17905, 16144, 30591, 33503, 106644, 30369, 116245, 16556, 32149, 59739, 38144, 100604, 113053, 16556, 13079, 108, 56906, 126020, 106116, 112366, 16144, 113385, 15682, 17792, 104770, 16144, 102456, 100853, 100, 19732, 76739, 124643, 104603, 11972, 86206, 29295, 26955, 94, 27384, 15024, 106307, 76622, 100934, 55031, 36785, 102677, 9174, 3378, 33, 1600, 15682, 110371, 13079, 108, 56906, 16144, 91875, 50834, 15682, 102456, 16995, 82533, 109315, 105908, 108608, 102944, 16144, 108048, 102052, 17792, 104770, 16144, 109683, 16144, 97518, 116547, 24273, 29295, 37087, 115070, 32149, 59739, 13177, 113487, 22656, 112535, 104721, 33208, 10646, 54926, 109215, 107407, 19732, 102971, 105242, 103792, 9174, 5245, 15, 122481, 20230, 82317, 104369, 3378, 33, 1600, 120270, 102181, 15682, 5486, 16, 32307, 2636, 15, 28542, 16144, 109544, 30512, 18, 8107, 122756, 78183, 115926, 102473, 104873, 112984, 56051, 102944, 16144, 43167, 27384, 13153, 1811, 86127, 126027, 114407, 19967, 53953, 114475, 110918, 54926, 102040, 78459, 5486, 74090, 45826, 234, 20230, 53610, 30512, 105623, 226, 58942, 119494, 53610, 30512, 103181, 104699, 105466, 102138, 104309, 5486, 114516, 16144, 112415, 29295, 105994, 126027, 106222, 30512, 46456, 105262, 109683, 117501, 58426, 102944, 30512, 105150, 127258, 103792, 103826, 45829, 30512, 5486, 120270, 102181, 15682, 31958, 33503, 111201, 103792, 9174, 13177, 113495, 122074, 112919, 103846, 66383, 39926, 5486, 80805, 37823, 38093, 40862, 16556, 125053, 103646, 1272, 122481, 16144, 31634, 103664, 15682, 110371, 127960, 67016, 101987, 104004, 116245, 16144, 100604, 17792, 104770, 125001, 111201, 127960, 30512, 118448, 25766, 225, 107726, 38144, 105898, 32149, 5486, 32149, 59739, 38144, 100604, 108680, 104195, 48634, 20230, 100853, 122, 119375, 103792, 9174, 105184, 111201, 114172, 102512, 17905, 5486, 17792, 104770, 15682, 40053, 20230, 127960, 117501, 20230, 117375, 30512, 58318, 107290, 105898, 102944, 16144, 5486, 32149, 59739, 38144, 15682, 32149, 17663, 31431, 114218, 20230, 103188, 105557, 104435, 102944, 29295, 5486, 103188, 86436, 1135, 116358, 114516, 112415, 113468, 127960, 117501, 29295, 109972, 100472, 114218, 15682, 110993, 107436, 30358, 114218, 16556, 102987, 106145, 118816, 31634, 103664, 15682, 64467, 112419, 103792, 9174, 4468, 15, 8107, 123434, 5486, 102616, 113073, 15682, 98406, 115079, 15024, 5486, 102616, 106613, 111587, 16144, 106045, 54872, 15682, 19, 98406, 20230, 13153, 101544, 15024, 5486, 127123, 80631, 123, 87844, 16144, 33857, 15682, 605, 98406, 20230, 115079, 107800, 113637, 104735, 101, 33121, 115442, 30369, 17792, 104770, 20230, 114392, 26854, 102456, 42506, 19732, 105060, 104770, 19732, 76739, 124643, 104603, 11972, 30512, 58318, 105262, 103846, 5486, 102208, 30590, 16556, 105466, 102138, 29295, 121602, 47884, 108680, 16144, 99695, 61398, 16556, 125174, 105987, 116216, 105898, 1811, 66378, 20230, 107969, 115351, 119208, 16144, 105466, 102138, 29295, 114318, 38144, 59739, 126758, 99695, 61398, 16556, 114485, 83747, 103792, 9174, 3753, 15, 8107, 55031, 1049, 15, 116358, 122756, 21388, 125167, 107969, 115351, 102138, 16144, 124175, 15682, 5486, 16, 117913, 108768, 29220, 47307, 64178, 20230, 82317, 104369, 1811, 59563, 73361, 113245, 118785, 40198, 250, 19732, 101778, 59563, 39880, 125581, 16144, 80805, 103202, 104754, 21990, 106518, 29295, 106116, 36668, 26854, 113385, 36785, 9174, 105466, 102138, 105755, 122270, 105150, 127258, 16144, 27479, 40862, 16995, 29295, 104328, 67645, 16995, 112973, 122539, 30590, 115351, 16556, 5486, 8258, 15, 116033, 105693, 122539, 30590, 115351, 16144, 117591, 1049, 15, 8107, 105352, 108618, 106358, 104468, 1032, 113127, 20230, 103188, 105557, 100604, 9174, 102208, 29504, 16556, 113949, 34048, 15682, 105047, 95399, 20230, 26955, 94, 27384, 15024, 5486, 113949, 119208, 16144, 124175, 15682, 2550, 17, 8107, 55031, 98406, 115079, 56051, 9174, 17792, 104770, 16144, 108895, 56051, 112415, 113468, 5486, 32149, 59739, 38144, 100604, 108680, 122333, 16144, 112027, 104091, 29295, 102625, 121143, 103792, 9174, 120270, 102181, 103732, 104533, 5486, 91875, 117430, 16144, 914, 113127, 16144, 104091, 29295, 115924, 121143, 16144, 109688, 101513, 20230, 115143, 110731, 9174, 11881, 228, 118633, 111363, 127960, 106045, 54872, 16144, 117375, 15682, 17620, 32149, 107462, 100604, 29295, 5486, 119208, 113468, 11881, 228, 118633, 29295, 105047, 95399, 20230, 106266, 114485, 103792, 103826, 124863, 50520, 111, 106624, 61304, 108565, 110731, 9174, 103826, 104680, 26854, 102321, 47523, 30512, 110022, 40862, 39926, 5486, 3378, 33, 1600, 15682, 103664, 1041, 32307, 104091, 16144, 91875, 117430, 29295, 9039, 95598, 116358, 117591, 20230, 115924, 121143, 112990, 104970, 58655, 113637, 115924, 121143, 16144, 99695, 61398, 15682, 103188, 86436, 1041, 15, 32307, 116358, 115274, 105755, 605, 98406, 55031, 1041, 98406, 95399, 16995, 102677, 9174, 120270, 102181, 16144, 105156, 106885, 116043, 116882, 113160, 49988, 112919, 16, 17792, 5486, 73361, 101198, 102750, 102741, 47307, 102667, 16144, 102663, 78983, 9458, 110101, 65299, 111817, 121987, 15682, 36896, 112027, 43240, 103826, 34171, 19732, 109683, 29295, 117475, 112649, 59739, 38144, 100604, 108680, 13079, 108, 56906, 103792, 103826, 45829, 30512, 61304, 108565, 56051, 1811, 13079, 108, 56906, 16144, 99695, 61398, 71289, 101171, 227, 105578, 16144, 106045, 54872, 102677, 115552, 16556, 5486, 17792, 104770, 102512, 17905, 51330, 105933, 102321 ]
[ 47523, 15682, 117864, 47884, 25580, 27452, 119703, 66383, 64467, 112419, 54926, 9174, 13177, 122617, 30512, 105360, 115694, 64121, 28713, 110018, 5486, 112027, 104091, 16144, 13079, 108, 56906, 29295, 30591, 109709, 20230, 104328, 67645, 47884, 38144, 5486, 109683, 117501, 29295, 114516, 20230, 58318, 105262, 107743, 122393, 29295, 67645, 33121, 108680, 21388, 126832, 32149, 104088, 38144, 5486, 127852, 107666, 114475, 107674, 66383, 121987, 15682, 112844, 9174, 120270, 103732, 104533, 5486, 127960, 17905, 16144, 74090, 45826, 234, 32977, 32149, 59739, 38144, 100604, 108680, 8239, 96, 33208, 103792, 103846, 5486, 30590, 21405, 16144, 21990, 106518, 34171, 15682, 1419, 113127, 32977, 74482, 56906, 103792, 102677, 9174, 17792, 104770, 16144, 72406, 121, 102456, 113468, 109098, 27384, 26854, 103621, 101198, 16144, 58911, 29295, 108882, 64121, 30591, 29295, 103836, 1811, 57326, 112718, 78459, 48552, 35417, 104698, 15682, 3753, 15, 8107, 55031, 605, 98406, 20230, 115079, 58942, 115408, 127282, 121410, 8107, 5486, 18, 117913, 21909, 19, 117913, 20251, 113883, 102944, 30358, 122830, 71289, 122026, 21403, 97, 5486, 19361, 109177, 108768, 45923, 42634, 123160, 25766, 225, 77062, 226, 53953, 30512, 127960, 16144, 56235, 71289, 103232, 101701, 20230, 80172, 77062, 226, 103792, 9174, 567, 116056, 109688, 101513, 16144, 124858, 15682, 198, 120270, 102181, 103732, 104533, 115847, 108680, 43240, 119064, 112027, 30512, 115924, 121143, 16144, 109688, 101513, 20230, 115143, 103792, 31634, 63212, 15682, 109242, 9039, 101182, 29295, 5486, 117018, 107740, 16144, 104721, 33208, 29295, 105572, 63212, 36785, 102677, 9174, 31634, 54926, 20230, 5486, 105301, 53229, 30512, 43167, 103664, 114407, 101275, 16144, 20551, 243, 19967, 30590, 20230, 125174, 109913, 107800, 31431, 5486, 53229, 21990, 102138, 30512, 114407, 104674, 20230, 122489, 56051, 31431, 5486, 20551, 243, 19967, 16144, 113009, 105466, 102138, 30512, 17885, 238, 118935, 56051, 31431, 54926, 112415, 30512, 115552, 54926, 1811, 108895, 56051, 117018, 107740, 16144, 104721, 33208, 15682, 102616, 102208, 30590, 16556, 5486, 66378, 20230, 107969, 115351, 119208, 16556, 30813, 32149, 25827, 120650, 78183, 115032, 9174, 3753, 15, 8107, 123434, 5486, 114407, 101275, 21990, 106518, 26955, 94, 27384, 16144, 103268, 17620, 71689, 15682, 53229, 21990, 102138, 16144, 105150, 127258, 113468, 103350, 102321, 56051, 9174, 104971, 97518, 89046, 77219, 83354, 198, 56235, 72661, 112361, 105933, 30926, 107328, 29295, 103130, 126559, 9174, 679, 19, 116358, 39177, 28542, 16556, 17792, 104770, 16144, 117375, 114475, 76622, 126386, 19732, 78244, 105262, 56235, 15682, 18, 113127, 67016, 104435, 9174, 115371, 15682, 32149, 59739, 38144, 100604, 108680, 108267, 112682, 84389, 5486, 679, 20, 8107, 102052, 53610, 106518, 103087, 39084, 16144, 1644, 113127, 29295, 69978, 106307, 16937, 88367, 26854, 103296, 20230, 115232, 112682, 84389, 101732, 9174, 60868, 16073, 103621, 17920, 223, 77181, 5486, 21990, 105898, 60868, 16073, 103621, 29295, 111405, 30512, 117633, 30297, 111017, 40862, 10110, 60868, 16073, 103621, 101307, 27479, 119735, 103188, 86436, 3965, 8107, 56965, 16556, 102717, 109416, 103268, 114485, 103792, 9174, 108895, 56051, 104721, 33208, 16144, 124858, 102052, 5486, 115079, 58942, 106307, 105784, 17792, 104770, 16144, 113073, 19732, 5486, 115079, 58942, 106307, 105784, 102456, 100853, 100, 86206, 114318, 31431, 113334, 107079, 102456, 71289, 115371, 102456, 111363, 107693, 26955, 94, 27384, 107407, 9174, 13177, 112027, 43240, 103826, 34171, 29295, 105150, 100990, 119, 54926, 112366, 16144, 31634, 63212, 15682, 117018, 107740, 118816, 115515, 77181, 91774, 125398, 1811, 114407, 19967, 30590, 16144, 22, 111017, 29295, 102456, 107079, 21990, 106518, 114556, 89046, 103792, 104309, 29295, 106116, 36668, 26854, 114667, 36785, 10646, 112031, 5486, 52591, 119930, 69978, 106307, 88367, 122401, 9458, 127123, 116690, 121224, 10110, 26507, 4403, 120732, 104930, 16073, 9458, 42634, 108994, 107446, 105514, 15682, 112844, 9174, 13177, 86127, 126027, 102456, 104654, 20230, 108928, 109315, 5486, 107079, 71289, 111528, 105107, 25446, 16144, 111017, 40862, 30512, 111800, 118219, 15024, 74245, 17663, 125231, 36785, 111329, 10110, 17297, 111629, 16144, 104971, 83354, 30512, 118396, 20230, 91875, 32149, 17663, 19732, 5486, 110101, 76428, 33710, 9458, 42634, 102860, 114676, 16144, 105466, 102138, 16144, 103826, 45829, 30512, 3753, 19, 8107, 19732, 679, 23, 8107, 16556, 125261, 54926, 105908, 108608, 23954, 117018, 107740, 16144, 102717, 32149, 5486, 101462, 102, 102333, 253, 71289, 109467, 109904, 91875, 53953, 102729, 122, 18655, 10110, 30813, 47884, 15024, 116186, 65459, 95221, 103550, 104721, 91875, 5486, 35417, 104698, 5486, 117976, 17701, 104091, 104309, 29295, 101171, 227, 105578, 121711, 5486, 109242, 40862, 112535, 30926, 107328, 30512, 109161, 33208, 107726, 100934, 102677, 9174, 120270, 102181, 125053, 117158, 105350, 56051, 105156, 106885, 116043, 116882, 113160, 49988, 112919, 16, 17792, 5486, 124366, 103906, 116219, 9458, 47260, 125933, 91482, 39880, 102667, 16144, 71493, 25197, 9458, 109933, 16073, 116891, 15682, 36896, 109683, 123050, 5486, 53610, 105284, 33563, 37087, 5486, 102456, 100853, 100, 109205, 69978, 5486, 76739, 124643, 104603, 11972, 84844, 110698, 5486, 95221, 103550, 104721, 91875, 126128, 44416, 30512, 115963, 20230, 103350, 102321, 54926, 109215, 34171, 30512, 36896, 85701, 108680, 16144, 106045, 54872, 16556, 111800, 118219, 56051, 102473, 15682, 37271, 103296, 104435, 66383, 43032, 103854, 36896, 85701, 108680, 17599, 117, 104792, 112535, 51330, 111681, 104482, 20230, 108167, 103214, 102189, 120270, 102181, 15682, 85707, 107436, 36785, 66383, 104195, 104873, 56051, 9174, 567, 48785, 16144, 13079, 108, 56906, 198, 104091, 16144, 115924, 121143, 112997, 29220, 5232, 105490, 226, 914, 4, 16144, 91875, 117430, 16144, 104091, 29295, 17663, 16556, 20230, 115924, 121143, 16144, 109688, 101513, 20230, 115143, 110731, 63091, 61994, 16144, 21990, 107328, 39276, 5232, 83639, 32977, 85707, 23538, 16144, 114181, 108867, 88367, 26854, 121894, 19732, 125261, 15024, 5486, 109683, 16144, 21990, 107328, 39276, 15682, 115274, 2618, 113127, 13079, 108, 56906, 56051, 109228, 25197, 90962, 68759, 22398, 10110, 112027, 103087, 39084, 16144, 33857, 7705, 19732, 104091, 16144, 119515, 32149, 30813, 5232, 125372, 21990, 102717, 111528, 104770, 16144, 102616, 9554, 119732, 90962, 68759, 22398, 15682, 6086, 113127, 114485, 83747, 56051, 1811, 101171, 232, 103433, 236, 91875, 53953, 16144, 104091, 16144, 9039, 15682, 4468, 15, 8107, 55031, 105047, 95399, 20230, 106266, 114485, 103792, 120616, 101987, 70821, 19732, 109683, 5232, 120616, 101987, 70821, 16144, 119208, 43167, 108638, 29295, 19012, 110, 102639, 30369, 64467, 105888, 16144, 5332, 113127, 29295, 120321, 106307, 112535, 109161, 33208, 15024, 5486, 61826, 101987, 70821, 125030, 76947, 27384, 30926, 26854, 109683, 16144, 31634, 72238, 29295, 13079, 108, 56906, 109768, 104533, 20379, 103792, 198, 567, 111724, 37507, 15682, 104405, 109020, 198, 86127, 126027, 123120, 112649, 32149, 103836, 9174, 120270, 102181, 16144, 116882, 30046, 127282, 5486, 17792, 104770, 29295, 66378, 20230, 99849, 32977, 72342, 101860, 37271, 103296, 67645, 108086, 104654, 54926, 102677, 80805, 102514, 113883, 102717, 32149, 5486, 105755, 69978, 106307, 88367, 26854, 104654, 108710, 101557, 96, 20230, 125174, 109913, 107800, 107803, 104309, 5486, 109242, 9039, 16144, 120987, 57207, 96452, 37823, 90962, 30512, 111800, 118219, 56051, 9174, 102717, 19732, 124592, 16144, 57207, 96452, 37823, 90962, 16556, 5486, 109683, 117501, 16144, 109161, 33208, 15682, 10866, 15, 8107, 23897, 104989, 32977, 106307, 47884, 9174, 21990, 107328, 39276, 16144, 127258, 121143, 9554, 105150, 127258, 20230, 57237, 110104, 57207, 96452, 37823, 90962, 112987, 101860, 33121, 32977, 36896, 113487, 22656, 109904, 104721, 33208, 118587, 96412, 104004, 102944, 103351, 9174, 567, 45631, 113487, 22656, 9554, 104721, 33208, 66383, 15682, 127091, 198, 37271, 18904, 16144, 120270, 102181, 102052, 102208, 29504, 105212, 111363, 31958, 105184, 26854, 29172, 78244, 120937, 102944, 16144, 5486, 104195, 48634, 26854, 107461, 52414, 125001, 47884, 59739, 32149, 96412, 17129, 115032, 9174, 58426, 115303, 59739, 29295, 36896, 106613, 111587, 13153, 101544, 102677, 48249, 118078, 80805, 32131, 124807, 91062, 66383, 15682, 108010, 30297, 112169, 102416, 102616, 16144, 63105, 113, 30512, 102769, 30369, 102677, 102944, 36785, 9174, 120270, 102181, 15682, 5486, 106613, 111587, 9554, 118095, 15308, 226, 16144, 105572, 64467, 105888, 20230, 117409, 110022, 21990, 106518, 10110, 38, 10510, 7705, 124905, 30297, 16144, 126194, 5486, 31640, 78183, 112586, 104654, 16144, 105284, 71289, 101544, 23538, 9554, 117375, 30512, 82420, 30369, 5486, 37087, 33014, 66201, 30512, 103984, 102212, 109156, 103468, 103927, 112997, 103906, 48552, 26854, 15017, 231, 58942, 24273, 30512, 84851, 28194, 101, 54926, 9174, 86127, 105459, 114516, 29295, 78698, 105262, 13177, 103424, 105284, 26854, 104654, 117503, 23187, 104577, 15682, 85701, 103296, 117119, 32977, 32149, 32977, 33420, 106382, 26955, 94, 27384, 114556, 89046, 107113, 29295, 115847, 15682, 108031, 104721, 58942, 103470, 38144, 15682, 105110, 100604, 19732, 5486, 120270, 102181, 15682, 105324, 102802, 126929, 100934, 9174, 42016, 103826, 20230, 5486, 112027, 43240, 103826, 34171, 30512, 125173, 101832, 30369, 112415, 20230, 106613, 111587, 9554, 39850, 37823, 67075, 107407, 102677, 127749, 30512, 104721, 58942, 103470, 38144, 15682, 105110, 100604, 102677, 9174, 13177, 102208, 29504, 105212, 15682, 5486, 117501, 105150, 127258, 107294, 105722, 30369, 33208, 102465, 114887, 42506, 5486, 78256, 223, 101275, 5486, 114407, 101275, 104309, 111363, 111983, 103129, 35330, 104908, 30512, 71289, 62004, 103470, 38144, 15682, 105110, 100604, 118844, 15682, 109947, 124490, 36785, 66383, 5486, 83947, 127123, 117501, 122401, 121224, 16144, 39880, 102860, 37823, 109496, 9458, 101335, 84477, 16073, 32938, 101544, 15682, 112844, 9174, 13177, 37271, 32977, 45163, 110782, 105352, 117119, 95598, 117913, 102944, 111482, 5486, 45829, 67645, 32977, 5486, 123737, 102052, 5486, 80866, 162, 66391, 16556, 113614, 16556, 43240, 103826, 26854, 117501, 29295, 109215, 36785, 109900, 105352, 32149, 124233, 121140, 117018, 71289, 56235, 30512, 118448, 33503, 17663, 106613, 111587, 112415, 30512, 5486, 105212, 15682, 122521, 39926, 15682, 105110, 100604, 111329, 35417, 112535, 123050, 110731, 117018, 71289, 56235, 16144, 124175, 32977, 105047, 95399, 20230, 26955, 94, 27384, 21105, 103, 47884, 38144, 15682, 105110, 100604, 19732, 120270, 102181, 15682, 113096, 17663, 1811, 109242, 9039, 16144, 114363, 103722, 46729, 103732, 104533, 5486, 127960, 17905, 16144, 117018, 16144, 18, 111017, 15682, 33563, 37087, 54926, 109215, 107407, 9174, 73361, 96452, 102895, 115307, 121714, 111134, 106384, 48552, 108975, 38093, 16144, 113909, 96452, 60868, 16073, 9458, 102832, 25197, 102540, 105514, 15682, 36896, 10866, 15, 8107, 103296, 20230, 127960, 17905, 16144, 117018, 16144, 103268, 17620, 121270, 56965, 30832, 105888, 103306, 9639, 15, 8107, 103296, 20230, 966, 113127, 30512, 33563, 37087, 21105, 103, 47884, 38144, 15682, 105110, 100604, 66383, 112844, 9174, 13177, 58426, 17905, 16556, 86127, 127282, 109683, 30512, 88356, 21990, 15024, 5486, 25197, 101335, 102832, 38248, 115, 78205, 16073, 30512, 113096, 103130, 54926, 109215, 107407, 1811, 102131, 21105, 103, 118145, 5486, 120987, 16144, 101083, 31640, 20230, 113614, 16556, 69978, 106307, 88367, 26854, 115461, 78519, 30512, 108618, 17663, 105908, 118765, 111329, 567, 112828, 107328, 15682, 95221, 103550, 104721, 91875, 126036, 104328, 67645, 16995, 104865, 198, 102616, 16325, 16556, 117501, 105150, 127258, 29295, 116748, 103792, 124858, 117083, 112366, 16144, 31634, 63212, 15682, 5486, 95221, 103550, 104721, 91875, 36785, 9174, 104840, 102452, 8239, 114503, 102472, 117718, 61056, 20834, 33857, 15682, 3753, 15, 8107, 55031, 98406, 115079, 15024, 108048, 20230, 112183, 16995, 127960, 16144, 95221, 104840, 15682, 15, 13, 22, 27479, 17905, 123716, 56051, 113637, 104721, 33208, 15682, 15120, 34048, 16144, 91875, 117430, 20230, 43240, 27384, 26854, 117375, 30512, 58318, 58942, 5486, 123120, 30512, 44416, 48249, 15024, 5486, 115924, 121143, 16144, 109688, 117126, 30512, 109161, 33208, 107726, 100934, 9174, 110241, 127960, 16144, 95221, 104840, 17905, 123716, 29295, 17, 27479, 20230, 104067, 126693, 5486, 112027, 16144, 104091, 16144, 20, 113127, 29295, 95221, 103550, 104721, 91875, 30512, 114667, 20230, 115924, 121143, 54926, 109688, 117126, 107407, 19732, 110731, 1811, 42016, 103826, 20230, 5486, 110241, 127960, 16144, 95221, 104840, 29295, 19, 13, 18, 27479, 115442, 104984, 5486, 112027, 104091, 16144, 845, 113127, 29295, 115924, 121143, 54926, 109688, 117126, 107407, 102677, 9174, 83947, 115507, 68759, 22398, 102667, 16144, 113909, 16073, 9458, 22398, 80805, 25197, 118718, 116891, 15682, 36896, 112027, 43240, 103826, 34171, 16144, 13079, 108, 56906, 16144, 57237, 60358, 31634, 63212, 107809, 16556, 5486, 107693, 34171, 16144, 110480, 25129, 55031, 112990, 95221, 103550, 104721, 91875, 15682, 18, 87217, 30832, 16556, 67016, 100604, 66383, 112844, 9174, 13177, 95221, 103550, 104721, 91875, 15682, 27869, 249, 33121, 32977, 103470, 5486, 17792, 104770, 29295, 60358, 120987, 20230, 74245, 28190, 54926, 112366, 16144, 101171, 227, 105578, 16144, 115303, 59739, 36785, 1811, 118816, 112990, 5486, 112027, 43240, 103826, 34171, 20230, 105150, 127258, 9554, 117375, 30512, 58318, 105262, 16, 87217, 30832, 19732, 17, 87217, 118322, 31634, 63212, 5486, 117018, 9458, 56235, 107740, 16144, 104721, 33208, 19732, 109467, 109904, 102729, 122, 18655, 29295, 5486, 67645, 33121, 108680, 102987, 106145, 32149, 17620, 117295, 108995, 1811, 102321, 103397, 15682, 108031, 107188, 31431, 25580, 55031, 5486, 17663, 118969, 100204, 47884, 102987, 106145, 36785, 111329, 3378, 33, 1600, 120270, 102181, 16144, 116882, 30046, 127282, 5486, 95221, 103550, 104721, 91875, 123863, 105212, 56965, 80805, 124643, 10110, 3378, 3791, 7705, 111848, 95221, 104840, 17905, 123716, 16, 13, 20, 27479, 120270, 102181, 29295, 95221, 103550, 104721, 91875, 104760, 105242, 20230, 58318, 107800, 16144, 19732, 112361, 120264, 5486, 105994, 126027, 120270, 102181, 29295, 112027, 43240, 103826, 34171, 13079, 108, 56906, 16144, 104760, 105242, 20230, 119448, 47884, 117375, 54926, 106592, 125494, 103792, 9174, 567, 76771, 223, 20230, 108608, 109335, 198, 17792, 104770, 16144, 21990, 25359, 20230, 109947, 124490, 26854, 112027, 43240, 103826, 34171, 30512, 105184, 33563, 54926, 113009, 5486, 102803, 52591, 105335, 106696, 30512, 113487, 22656, 112535, 104721, 105262, 123120, 29295, 109215, 118816, 117952, 115032, 104468, 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 ]
[ 47523, 15682, 117864, 47884, 25580, 27452, 119703, 66383, 64467, 112419, 54926, 9174, 13177, 122617, 30512, 105360, 115694, 64121, 28713, 110018, 5486, 112027, 104091, 16144, 13079, 108, 56906, 29295, 30591, 109709, 20230, 104328, 67645, 47884, 38144, 5486, 109683, 117501, 29295, 114516, 20230, 58318, 105262, 107743, 122393, 29295, 67645, 33121, 108680, 21388, 126832, 32149, 104088, 38144, 5486, 127852, 107666, 114475, 107674, 66383, 121987, 15682, 112844, 9174, 120270, 103732, 104533, 5486, 127960, 17905, 16144, 74090, 45826, 234, 32977, 32149, 59739, 38144, 100604, 108680, 8239, 96, 33208, 103792, 103846, 5486, 30590, 21405, 16144, 21990, 106518, 34171, 15682, 1419, 113127, 32977, 74482, 56906, 103792, 102677, 9174, 17792, 104770, 16144, 72406, 121, 102456, 113468, 109098, 27384, 26854, 103621, 101198, 16144, 58911, 29295, 108882, 64121, 30591, 29295, 103836, 1811, 57326, 112718, 78459, 48552, 35417, 104698, 15682, 3753, 15, 8107, 55031, 605, 98406, 20230, 115079, 58942, 115408, 127282, 121410, 8107, 5486, 18, 117913, 21909, 19, 117913, 20251, 113883, 102944, 30358, 122830, 71289, 122026, 21403, 97, 5486, 19361, 109177, 108768, 45923, 42634, 123160, 25766, 225, 77062, 226, 53953, 30512, 127960, 16144, 56235, 71289, 103232, 101701, 20230, 80172, 77062, 226, 103792, 9174, 567, 116056, 109688, 101513, 16144, 124858, 15682, 198, 120270, 102181, 103732, 104533, 115847, 108680, 43240, 119064, 112027, 30512, 115924, 121143, 16144, 109688, 101513, 20230, 115143, 103792, 31634, 63212, 15682, 109242, 9039, 101182, 29295, 5486, 117018, 107740, 16144, 104721, 33208, 29295, 105572, 63212, 36785, 102677, 9174, 31634, 54926, 20230, 5486, 105301, 53229, 30512, 43167, 103664, 114407, 101275, 16144, 20551, 243, 19967, 30590, 20230, 125174, 109913, 107800, 31431, 5486, 53229, 21990, 102138, 30512, 114407, 104674, 20230, 122489, 56051, 31431, 5486, 20551, 243, 19967, 16144, 113009, 105466, 102138, 30512, 17885, 238, 118935, 56051, 31431, 54926, 112415, 30512, 115552, 54926, 1811, 108895, 56051, 117018, 107740, 16144, 104721, 33208, 15682, 102616, 102208, 30590, 16556, 5486, 66378, 20230, 107969, 115351, 119208, 16556, 30813, 32149, 25827, 120650, 78183, 115032, 9174, 3753, 15, 8107, 123434, 5486, 114407, 101275, 21990, 106518, 26955, 94, 27384, 16144, 103268, 17620, 71689, 15682, 53229, 21990, 102138, 16144, 105150, 127258, 113468, 103350, 102321, 56051, 9174, 104971, 97518, 89046, 77219, 83354, 198, 56235, 72661, 112361, 105933, 30926, 107328, 29295, 103130, 126559, 9174, 679, 19, 116358, 39177, 28542, 16556, 17792, 104770, 16144, 117375, 114475, 76622, 126386, 19732, 78244, 105262, 56235, 15682, 18, 113127, 67016, 104435, 9174, 115371, 15682, 32149, 59739, 38144, 100604, 108680, 108267, 112682, 84389, 5486, 679, 20, 8107, 102052, 53610, 106518, 103087, 39084, 16144, 1644, 113127, 29295, 69978, 106307, 16937, 88367, 26854, 103296, 20230, 115232, 112682, 84389, 101732, 9174, 60868, 16073, 103621, 17920, 223, 77181, 5486, 21990, 105898, 60868, 16073, 103621, 29295, 111405, 30512, 117633, 30297, 111017, 40862, 10110, 60868, 16073, 103621, 101307, 27479, 119735, 103188, 86436, 3965, 8107, 56965, 16556, 102717, 109416, 103268, 114485, 103792, 9174, 108895, 56051, 104721, 33208, 16144, 124858, 102052, 5486, 115079, 58942, 106307, 105784, 17792, 104770, 16144, 113073, 19732, 5486, 115079, 58942, 106307, 105784, 102456, 100853, 100, 86206, 114318, 31431, 113334, 107079, 102456, 71289, 115371, 102456, 111363, 107693, 26955, 94, 27384, 107407, 9174, 13177, 112027, 43240, 103826, 34171, 29295, 105150, 100990, 119, 54926, 112366, 16144, 31634, 63212, 15682, 117018, 107740, 118816, 115515, 77181, 91774, 125398, 1811, 114407, 19967, 30590, 16144, 22, 111017, 29295, 102456, 107079, 21990, 106518, 114556, 89046, 103792, 104309, 29295, 106116, 36668, 26854, 114667, 36785, 10646, 112031, 5486, 52591, 119930, 69978, 106307, 88367, 122401, 9458, 127123, 116690, 121224, 10110, 26507, 4403, 120732, 104930, 16073, 9458, 42634, 108994, 107446, 105514, 15682, 112844, 9174, 13177, 86127, 126027, 102456, 104654, 20230, 108928, 109315, 5486, 107079, 71289, 111528, 105107, 25446, 16144, 111017, 40862, 30512, 111800, 118219, 15024, 74245, 17663, 125231, 36785, 111329, 10110, 17297, 111629, 16144, 104971, 83354, 30512, 118396, 20230, 91875, 32149, 17663, 19732, 5486, 110101, 76428, 33710, 9458, 42634, 102860, 114676, 16144, 105466, 102138, 16144, 103826, 45829, 30512, 3753, 19, 8107, 19732, 679, 23, 8107, 16556, 125261, 54926, 105908, 108608, 23954, 117018, 107740, 16144, 102717, 32149, 5486, 101462, 102, 102333, 253, 71289, 109467, 109904, 91875, 53953, 102729, 122, 18655, 10110, 30813, 47884, 15024, 116186, 65459, 95221, 103550, 104721, 91875, 5486, 35417, 104698, 5486, 117976, 17701, 104091, 104309, 29295, 101171, 227, 105578, 121711, 5486, 109242, 40862, 112535, 30926, 107328, 30512, 109161, 33208, 107726, 100934, 102677, 9174, 120270, 102181, 125053, 117158, 105350, 56051, 105156, 106885, 116043, 116882, 113160, 49988, 112919, 16, 17792, 5486, 124366, 103906, 116219, 9458, 47260, 125933, 91482, 39880, 102667, 16144, 71493, 25197, 9458, 109933, 16073, 116891, 15682, 36896, 109683, 123050, 5486, 53610, 105284, 33563, 37087, 5486, 102456, 100853, 100, 109205, 69978, 5486, 76739, 124643, 104603, 11972, 84844, 110698, 5486, 95221, 103550, 104721, 91875, 126128, 44416, 30512, 115963, 20230, 103350, 102321, 54926, 109215, 34171, 30512, 36896, 85701, 108680, 16144, 106045, 54872, 16556, 111800, 118219, 56051, 102473, 15682, 37271, 103296, 104435, 66383, 43032, 103854, 36896, 85701, 108680, 17599, 117, 104792, 112535, 51330, 111681, 104482, 20230, 108167, 103214, 102189, 120270, 102181, 15682, 85707, 107436, 36785, 66383, 104195, 104873, 56051, 9174, 567, 48785, 16144, 13079, 108, 56906, 198, 104091, 16144, 115924, 121143, 112997, 29220, 5232, 105490, 226, 914, 4, 16144, 91875, 117430, 16144, 104091, 29295, 17663, 16556, 20230, 115924, 121143, 16144, 109688, 101513, 20230, 115143, 110731, 63091, 61994, 16144, 21990, 107328, 39276, 5232, 83639, 32977, 85707, 23538, 16144, 114181, 108867, 88367, 26854, 121894, 19732, 125261, 15024, 5486, 109683, 16144, 21990, 107328, 39276, 15682, 115274, 2618, 113127, 13079, 108, 56906, 56051, 109228, 25197, 90962, 68759, 22398, 10110, 112027, 103087, 39084, 16144, 33857, 7705, 19732, 104091, 16144, 119515, 32149, 30813, 5232, 125372, 21990, 102717, 111528, 104770, 16144, 102616, 9554, 119732, 90962, 68759, 22398, 15682, 6086, 113127, 114485, 83747, 56051, 1811, 101171, 232, 103433, 236, 91875, 53953, 16144, 104091, 16144, 9039, 15682, 4468, 15, 8107, 55031, 105047, 95399, 20230, 106266, 114485, 103792, 120616, 101987, 70821, 19732, 109683, 5232, 120616, 101987, 70821, 16144, 119208, 43167, 108638, 29295, 19012, 110, 102639, 30369, 64467, 105888, 16144, 5332, 113127, 29295, 120321, 106307, 112535, 109161, 33208, 15024, 5486, 61826, 101987, 70821, 125030, 76947, 27384, 30926, 26854, 109683, 16144, 31634, 72238, 29295, 13079, 108, 56906, 109768, 104533, 20379, 103792, 198, 567, 111724, 37507, 15682, 104405, 109020, 198, 86127, 126027, 123120, 112649, 32149, 103836, 9174, 120270, 102181, 16144, 116882, 30046, 127282, 5486, 17792, 104770, 29295, 66378, 20230, 99849, 32977, 72342, 101860, 37271, 103296, 67645, 108086, 104654, 54926, 102677, 80805, 102514, 113883, 102717, 32149, 5486, 105755, 69978, 106307, 88367, 26854, 104654, 108710, 101557, 96, 20230, 125174, 109913, 107800, 107803, 104309, 5486, 109242, 9039, 16144, 120987, 57207, 96452, 37823, 90962, 30512, 111800, 118219, 56051, 9174, 102717, 19732, 124592, 16144, 57207, 96452, 37823, 90962, 16556, 5486, 109683, 117501, 16144, 109161, 33208, 15682, 10866, 15, 8107, 23897, 104989, 32977, 106307, 47884, 9174, 21990, 107328, 39276, 16144, 127258, 121143, 9554, 105150, 127258, 20230, 57237, 110104, 57207, 96452, 37823, 90962, 112987, 101860, 33121, 32977, 36896, 113487, 22656, 109904, 104721, 33208, 118587, 96412, 104004, 102944, 103351, 9174, 567, 45631, 113487, 22656, 9554, 104721, 33208, 66383, 15682, 127091, 198, 37271, 18904, 16144, 120270, 102181, 102052, 102208, 29504, 105212, 111363, 31958, 105184, 26854, 29172, 78244, 120937, 102944, 16144, 5486, 104195, 48634, 26854, 107461, 52414, 125001, 47884, 59739, 32149, 96412, 17129, 115032, 9174, 58426, 115303, 59739, 29295, 36896, 106613, 111587, 13153, 101544, 102677, 48249, 118078, 80805, 32131, 124807, 91062, 66383, 15682, 108010, 30297, 112169, 102416, 102616, 16144, 63105, 113, 30512, 102769, 30369, 102677, 102944, 36785, 9174, 120270, 102181, 15682, 5486, 106613, 111587, 9554, 118095, 15308, 226, 16144, 105572, 64467, 105888, 20230, 117409, 110022, 21990, 106518, 10110, 38, 10510, 7705, 124905, 30297, 16144, 126194, 5486, 31640, 78183, 112586, 104654, 16144, 105284, 71289, 101544, 23538, 9554, 117375, 30512, 82420, 30369, 5486, 37087, 33014, 66201, 30512, 103984, 102212, 109156, 103468, 103927, 112997, 103906, 48552, 26854, 15017, 231, 58942, 24273, 30512, 84851, 28194, 101, 54926, 9174, 86127, 105459, 114516, 29295, 78698, 105262, 13177, 103424, 105284, 26854, 104654, 117503, 23187, 104577, 15682, 85701, 103296, 117119, 32977, 32149, 32977, 33420, 106382, 26955, 94, 27384, 114556, 89046, 107113, 29295, 115847, 15682, 108031, 104721, 58942, 103470, 38144, 15682, 105110, 100604, 19732, 5486, 120270, 102181, 15682, 105324, 102802, 126929, 100934, 9174, 42016, 103826, 20230, 5486, 112027, 43240, 103826, 34171, 30512, 125173, 101832, 30369, 112415, 20230, 106613, 111587, 9554, 39850, 37823, 67075, 107407, 102677, 127749, 30512, 104721, 58942, 103470, 38144, 15682, 105110, 100604, 102677, 9174, 13177, 102208, 29504, 105212, 15682, 5486, 117501, 105150, 127258, 107294, 105722, 30369, 33208, 102465, 114887, 42506, 5486, 78256, 223, 101275, 5486, 114407, 101275, 104309, 111363, 111983, 103129, 35330, 104908, 30512, 71289, 62004, 103470, 38144, 15682, 105110, 100604, 118844, 15682, 109947, 124490, 36785, 66383, 5486, 83947, 127123, 117501, 122401, 121224, 16144, 39880, 102860, 37823, 109496, 9458, 101335, 84477, 16073, 32938, 101544, 15682, 112844, 9174, 13177, 37271, 32977, 45163, 110782, 105352, 117119, 95598, 117913, 102944, 111482, 5486, 45829, 67645, 32977, 5486, 123737, 102052, 5486, 80866, 162, 66391, 16556, 113614, 16556, 43240, 103826, 26854, 117501, 29295, 109215, 36785, 109900, 105352, 32149, 124233, 121140, 117018, 71289, 56235, 30512, 118448, 33503, 17663, 106613, 111587, 112415, 30512, 5486, 105212, 15682, 122521, 39926, 15682, 105110, 100604, 111329, 35417, 112535, 123050, 110731, 117018, 71289, 56235, 16144, 124175, 32977, 105047, 95399, 20230, 26955, 94, 27384, 21105, 103, 47884, 38144, 15682, 105110, 100604, 19732, 120270, 102181, 15682, 113096, 17663, 1811, 109242, 9039, 16144, 114363, 103722, 46729, 103732, 104533, 5486, 127960, 17905, 16144, 117018, 16144, 18, 111017, 15682, 33563, 37087, 54926, 109215, 107407, 9174, 73361, 96452, 102895, 115307, 121714, 111134, 106384, 48552, 108975, 38093, 16144, 113909, 96452, 60868, 16073, 9458, 102832, 25197, 102540, 105514, 15682, 36896, 10866, 15, 8107, 103296, 20230, 127960, 17905, 16144, 117018, 16144, 103268, 17620, 121270, 56965, 30832, 105888, 103306, 9639, 15, 8107, 103296, 20230, 966, 113127, 30512, 33563, 37087, 21105, 103, 47884, 38144, 15682, 105110, 100604, 66383, 112844, 9174, 13177, 58426, 17905, 16556, 86127, 127282, 109683, 30512, 88356, 21990, 15024, 5486, 25197, 101335, 102832, 38248, 115, 78205, 16073, 30512, 113096, 103130, 54926, 109215, 107407, 1811, 102131, 21105, 103, 118145, 5486, 120987, 16144, 101083, 31640, 20230, 113614, 16556, 69978, 106307, 88367, 26854, 115461, 78519, 30512, 108618, 17663, 105908, 118765, 111329, 567, 112828, 107328, 15682, 95221, 103550, 104721, 91875, 126036, 104328, 67645, 16995, 104865, 198, 102616, 16325, 16556, 117501, 105150, 127258, 29295, 116748, 103792, 124858, 117083, 112366, 16144, 31634, 63212, 15682, 5486, 95221, 103550, 104721, 91875, 36785, 9174, 104840, 102452, 8239, 114503, 102472, 117718, 61056, 20834, 33857, 15682, 3753, 15, 8107, 55031, 98406, 115079, 15024, 108048, 20230, 112183, 16995, 127960, 16144, 95221, 104840, 15682, 15, 13, 22, 27479, 17905, 123716, 56051, 113637, 104721, 33208, 15682, 15120, 34048, 16144, 91875, 117430, 20230, 43240, 27384, 26854, 117375, 30512, 58318, 58942, 5486, 123120, 30512, 44416, 48249, 15024, 5486, 115924, 121143, 16144, 109688, 117126, 30512, 109161, 33208, 107726, 100934, 9174, 110241, 127960, 16144, 95221, 104840, 17905, 123716, 29295, 17, 27479, 20230, 104067, 126693, 5486, 112027, 16144, 104091, 16144, 20, 113127, 29295, 95221, 103550, 104721, 91875, 30512, 114667, 20230, 115924, 121143, 54926, 109688, 117126, 107407, 19732, 110731, 1811, 42016, 103826, 20230, 5486, 110241, 127960, 16144, 95221, 104840, 29295, 19, 13, 18, 27479, 115442, 104984, 5486, 112027, 104091, 16144, 845, 113127, 29295, 115924, 121143, 54926, 109688, 117126, 107407, 102677, 9174, 83947, 115507, 68759, 22398, 102667, 16144, 113909, 16073, 9458, 22398, 80805, 25197, 118718, 116891, 15682, 36896, 112027, 43240, 103826, 34171, 16144, 13079, 108, 56906, 16144, 57237, 60358, 31634, 63212, 107809, 16556, 5486, 107693, 34171, 16144, 110480, 25129, 55031, 112990, 95221, 103550, 104721, 91875, 15682, 18, 87217, 30832, 16556, 67016, 100604, 66383, 112844, 9174, 13177, 95221, 103550, 104721, 91875, 15682, 27869, 249, 33121, 32977, 103470, 5486, 17792, 104770, 29295, 60358, 120987, 20230, 74245, 28190, 54926, 112366, 16144, 101171, 227, 105578, 16144, 115303, 59739, 36785, 1811, 118816, 112990, 5486, 112027, 43240, 103826, 34171, 20230, 105150, 127258, 9554, 117375, 30512, 58318, 105262, 16, 87217, 30832, 19732, 17, 87217, 118322, 31634, 63212, 5486, 117018, 9458, 56235, 107740, 16144, 104721, 33208, 19732, 109467, 109904, 102729, 122, 18655, 29295, 5486, 67645, 33121, 108680, 102987, 106145, 32149, 17620, 117295, 108995, 1811, 102321, 103397, 15682, 108031, 107188, 31431, 25580, 55031, 5486, 17663, 118969, 100204, 47884, 102987, 106145, 36785, 111329, 3378, 33, 1600, 120270, 102181, 16144, 116882, 30046, 127282, 5486, 95221, 103550, 104721, 91875, 123863, 105212, 56965, 80805, 124643, 10110, 3378, 3791, 7705, 111848, 95221, 104840, 17905, 123716, 16, 13, 20, 27479, 120270, 102181, 29295, 95221, 103550, 104721, 91875, 104760, 105242, 20230, 58318, 107800, 16144, 19732, 112361, 120264, 5486, 105994, 126027, 120270, 102181, 29295, 112027, 43240, 103826, 34171, 13079, 108, 56906, 16144, 104760, 105242, 20230, 119448, 47884, 117375, 54926, 106592, 125494, 103792, 9174, 567, 76771, 223, 20230, 108608, 109335, 198, 17792, 104770, 16144, 21990, 25359, 20230, 109947, 124490, 26854, 112027, 43240, 103826, 34171, 30512, 105184, 33563, 54926, 113009, 5486, 102803, 52591, 105335, 106696, 30512, 113487, 22656, 112535, 104721, 105262, 123120, 29295, 109215, 118816, 117952, 115032, 104468, 5486 ]
[ 105212, 15682, 106848, 94134, 33014, 121142, 26854, 112987, 1811, 102159, 107707, 123120, 32977, 5486, 32977, 43514, 85791, 25827, 80631, 95, 112500, 108608, 9174, 3378, 33, 1600, 120270, 102181, 16144, 116882, 112919, 16, 17792, 5486, 110101, 65299, 111817, 121987, 15682, 36896, 102321, 31640, 107707, 102456, 104654, 15682, 104198, 104680, 116446, 5486, 105994, 19732, 115461, 78519, 125030, 76947, 16937, 113614, 36785, 113637, 109335, 108031, 17620, 32149, 103836, 66383, 87177, 17663, 9174, 13177, 86127, 127282, 125821, 43240, 103826, 26854, 102456, 30926, 30512, 19732, 31431, 5486, 125821, 102212, 108171, 30512, 125764, 30369, 118733, 5486, 121568, 103306, 125821, 113614, 101983, 104028, 15024, 5486, 125821, 69978, 106307, 88367, 26854, 83799, 16556, 102456, 100853, 100, 30512, 101662, 125655, 118733, 115461, 78519, 30512, 125821, 113614, 117657, 105908, 108608, 111329, 33420, 106382, 30046, 103306, 16144, 121507, 5486, 102803, 52591, 105335, 106696, 16144, 104721, 33208, 20230, 21601, 107290, 5486, 110886, 123120, 113468, 102159, 114754, 104721, 33208, 20230, 80631, 95, 112500, 108608, 102677, 37689, 91774, 32977, 101182, 9174, 120270, 102181, 116882, 112919, 16, 17792, 5486, 73361, 68759, 60868, 123577, 38248, 119, 123428, 55139, 117083, 107059, 105048, 102667, 16144, 116974, 9458, 42634, 25197, 9458, 109933, 65299, 45923, 37823, 121987, 15682, 36896, 106222, 103306, 102465, 163, 65620, 105755, 88356, 21990, 88367, 76739, 124643, 104603, 11972, 20230, 126330, 54926, 105908, 107693, 32149, 121061, 66383, 112844, 9174, 13177, 58426, 103846, 102052, 104405, 54926, 32149, 11571, 220, 122582, 102159, 107707, 123120, 113468, 1811, 80172, 95544, 32938, 16556, 111329, 13177, 90620, 110904, 20230, 115364, 46034, 24186, 16144, 101721, 95221, 30512, 33420, 17663, 103378, 126194, 5486, 125821, 56965, 30177, 109904, 83799, 113245, 80631, 95, 112500, 102677, 19732, 5486, 110886, 123120, 32149, 121061, 10646, 128001, 128000, 2, 101678, 48864, 103283, 16144, 102667, 16325, 56906, 96455, 16144, 101427, 122, 70141, 198, 102667, 16325, 56906, 96455, 15682, 5486, 102667, 125030, 76947, 68408, 37823, 102663, 84477, 26854, 108134, 38641, 105879, 108149, 109709, 35417, 21405, 84389, 100481, 107515, 9174, 80673, 111476, 44620, 102667, 16144, 103350, 48634, 36761, 102677, 22656, 77181, 5486, 101275, 98220, 16144, 47307, 52884, 11972, 30512, 76537, 43514, 105150, 76947, 5486, 43240, 119064, 102667, 16144, 102667, 16325, 56906, 96455, 29295, 35417, 21405, 116216, 61689, 59459, 102667, 16144, 103350, 48634, 32943, 77181, 16325, 56906, 96455, 30512, 56906, 48864, 96455, 103306, 5486, 101678, 48864, 19, 8107, 122756, 56906, 48864, 56051, 107707, 111017, 40862, 29295, 20379, 116216, 61689, 23954, 110382, 77181, 5486, 108895, 16995, 100472, 108134, 30512, 76706, 11883, 39926, 5486, 102667, 16325, 56906, 96455, 16144, 101427, 122, 70141, 104088, 100481, 50834, 17129, 109954, 9174, 567, 101678, 48864, 16325, 56906, 96455, 15682, 5486, 29504, 35417, 80195, 29295, 103167, 47884, 115408, 80195, 102667, 29295, 126574, 198, 102667, 16325, 56906, 96455, 15682, 5486, 29504, 35417, 80195, 29295, 103167, 47884, 115408, 80195, 102667, 29295, 126574, 102677, 101427, 122, 70141, 115991, 33541, 9174, 29504, 35417, 80195, 15682, 111476, 106081, 111186, 70626, 30832, 9039, 29295, 43240, 102518, 31431, 5486, 44971, 115882, 107407, 113314, 126574, 105879, 102667, 111363, 78228, 103192, 27479, 29295, 126574, 114754, 43167, 17129, 106358, 31431, 5486, 48864, 106382, 29295, 51385, 16995, 100909, 55031, 16325, 56906, 96455, 29295, 103167, 47884, 109020, 117840, 9174, 15120, 24273, 115408, 80195, 102667, 15682, 111476, 106081, 111186, 70626, 30832, 9039, 29295, 83747, 104435, 31431, 5486, 115598, 104364, 112603, 29295, 103167, 16995, 102667, 32977, 105693, 111842, 5486, 30832, 105888, 114792, 76947, 102667, 109156, 48864, 54926, 17792, 116749, 72661, 17701, 48864, 15024, 126172, 16995, 117501, 107407, 100909, 71289, 5486, 48864, 106382, 29295, 29504, 35417, 80195, 20230, 57106, 115694, 45736, 102334, 62004, 20230, 16325, 56906, 96455, 29295, 45736, 47884, 109020, 101427, 122, 70141, 20230, 57903, 33541, 9174, 88852, 5486, 679, 17, 8107, 20, 9953, 16144, 43167, 82420, 113702, 38641, 9174, 102667, 13372, 107668, 34048, 101678, 48864, 16325, 56906, 96455, 10110, 113127, 7705, 119109, 102667, 10110, 29504, 80195, 7705, 107879, 234, 111587, 48864, 34048, 220, 15, 13, 18, 220, 108931, 102667, 10110, 29504, 80195, 7705, 107879, 234, 111587, 48864, 34048, 220, 15, 13, 23, 126730, 102697, 80195, 102667, 10110, 35417, 80195, 7705, 107879, 234, 111587, 48864, 34048, 220, 18, 13, 21, 62205, 119906, 23530, 80195, 102667, 10110, 35417, 80195, 7705, 107879, 234, 111587, 48864, 34048, 220, 15, 13, 17, 121151, 114, 106608, 104577, 59657, 122, 102667, 10110, 86127, 80195, 7705, 107879, 234, 111587, 48864, 34048, 220, 17, 13, 23, 111366, 71005, 102667, 10110, 86127, 80195, 7705, 107879, 234, 111587, 48864, 34048, 220, 18, 13, 19, 107531, 75513, 102667, 10110, 86127, 80195, 7705, 107879, 234, 111587, 48864, 34048, 220, 18, 13, 20, 198, 37271, 18904, 5486, 108167, 109415, 28713, 104468, 198, 115598, 104364, 112603, 29295, 126574, 102667, 122416, 119627, 5486, 220, 58426, 16325, 72661, 86127, 80195, 120332, 29295, 16325, 56906, 96455, 29295, 45736, 47884, 109020, 101427, 122, 70141, 29295, 91774, 102204, 33541, 9174, 106081, 111186, 70626, 30832, 9039, 29295, 83747, 100604, 86127, 80195, 102667, 102416, 15682, 5486, 74245, 123628, 104862, 16995, 121423, 121142, 17701, 48864, 103082, 28713, 102083, 100472, 126465, 115991, 33541, 29295, 5486, 29504, 35417, 80195, 119775, 106081, 111186, 70626, 30832, 9039, 29295, 127181, 102667, 77181, 111108, 102800, 38641, 9174, 117734, 113146, 55031, 5486, 82420, 55723, 30512, 21105, 96, 107277, 121697, 38144, 5486, 102667, 30512, 30832, 64467, 103792, 107707, 23187, 100815, 96455, 16144, 45736, 30813, 29295, 21405, 115032, 104865, 110241, 33121, 107515, 9174, 567, 108837, 237, 104364, 112603, 16144, 126574, 102667, 15682, 16325, 56906, 96455, 29295, 103167, 47884, 5486, 115598, 104364, 112603, 16144, 103167, 16995, 102667, 15682, 16325, 56906, 96455, 29295, 126574, 198, 115598, 104364, 112603, 19732, 102667, 16325, 56906, 96455, 29295, 116690, 103792, 104468, 5486, 108936, 109904, 99750, 112854, 103306, 32977, 101182, 106046, 61689, 29295, 5486, 119526, 17905, 32977, 115598, 104364, 112603, 19732, 102667, 16325, 56906, 96455, 15682, 50021, 97518, 116690, 107407, 105908, 17620, 107277, 33541, 9174, 102667, 13372, 107668, 34048, 108837, 237, 104364, 112603, 101678, 48864, 16325, 56906, 96455, 10110, 113127, 7705, 121151, 114, 106877, 104577, 59657, 122, 102667, 107879, 234, 111587, 48864, 34048, 220, 2614, 220, 17, 13, 23, 65218, 105487, 102667, 107879, 234, 111587, 48864, 34048, 220, 2397, 220, 19, 13, 17, 111054, 58911, 106424, 102667, 107879, 234, 111587, 48864, 34048, 220, 1399, 220, 18, 13, 22, 116303, 119154, 102667, 107879, 234, 111587, 48864, 34048, 220, 3226, 220, 20, 13, 21, 59330, 224, 23951, 102667, 107879, 234, 111587, 48864, 34048, 220, 4331, 220, 20, 13, 18, 119109, 106613, 111587, 102667, 107879, 234, 111587, 48864, 34048, 220, 1135, 220, 24, 13, 20, 102966, 251, 47653, 102667, 107879, 234, 111587, 48864, 34048, 220, 2491, 220, 1032, 13, 16, 198, 115598, 104364, 112603, 1135, 25580, 74482, 71689, 16144, 102667, 20230, 58254, 252, 114598, 5486, 115598, 104364, 112603, 16144, 45736, 30813, 20230, 89046, 91875, 39926, 121270, 56906, 96455, 29295, 91875, 119188, 105908, 17620, 107277, 33541, 9174, 115598, 104364, 112603, 29295, 1135, 88852, 16144, 102667, 101983, 104533, 121270, 56906, 96455, 29295, 605, 113127, 30512, 72404, 107290, 109749, 102667, 29295, 115079, 107290, 50834, 38144, 5486, 102667, 71289, 48864, 34048, 113468, 15682, 508, 113127, 30512, 72404, 105262, 126465, 32977, 57903, 33541, 9174, 115598, 104364, 112603, 16144, 45736, 30813, 20230, 16325, 56906, 96455, 29295, 89046, 91875, 54926, 123017, 5486, 113173, 37689, 109375, 16144, 45736, 30813, 19732, 116690, 107407, 104865, 110241, 33121, 107515, 9174, 567, 220, 123011, 62004, 198, 110382, 103296, 15120, 34048, 16144, 102667, 20230, 48249, 100472, 108134, 119627, 5486, 102667, 16325, 56906, 96455, 16144, 101427, 122, 70141, 109853, 91774, 38144, 50834, 79721, 9174, 108936, 109904, 101427, 122, 70141, 103378, 30512, 50338, 108323, 109768, 50834, 79721, 29295, 111476, 115598, 104364, 112603, 20230, 89046, 91875, 72342, 101860, 20230, 102667, 16325, 56906, 96455, 29295, 103167, 16995, 102667, 107407, 123017, 30926, 103350, 38641, 9174, 102131, 16995, 100472, 102667, 29295, 104405, 16995, 100472, 103359, 105226, 117824, 103836, 104865, 30512, 104873, 115694, 5486, 43511, 102667, 32977, 108167, 125639, 100481, 47884, 121837, 30512, 112990, 102667, 37087, 33014, 16144, 44971, 115882, 29295, 115442, 107462, 47884, 32149, 110241, 33121, 107515, 9174, 106718, 110366, 125030, 76947, 15682, 5486, 115598, 104364, 112603, 123160, 108134, 20230, 21601, 107290, 5486, 108895, 16995, 100472, 102667, 16325, 56906, 96455, 16144, 108134, 29295, 107693, 38641, 9174, 80673, 115515, 18904, 5486, 115598, 104364, 112603, 16144, 126574, 15120, 34048, 16144, 102667, 16144, 108134, 20230, 48249, 100472, 114667, 32977, 5486, 102667, 125030, 76947, 68408, 37823, 102663, 84477, 26854, 108134, 38641, 105879, 5486, 109161, 117375, 30512, 102667, 20230, 58318, 107290, 112987, 124324, 102677, 55487, 101557, 106, 115991, 33541, 9174, 121568, 71289, 114435, 29295, 35417, 21405, 54926, 104468, 111108, 102800, 5486, 108895, 16995, 100472, 108134, 30512, 198, 29504, 29295, 108882, 110993, 112535, 104873, 112984, 39926, 87447, 20379, 109768, 47884, 109335, 5486, 106718, 121142, 103470, 5486, 102667, 125030, 114598, 57980, 16995, 117375, 125334, 30369, 16144, 111769, 123253, 32149, 9174, 97518, 89046, 77219, 198, 567, 101678, 48864, 16325, 56906, 30046, 198, 126909, 32018, 17792, 108134, 116229, 93488, 119557, 198, 102667, 16325, 56906, 30046, 20230, 126909, 16144, 32018, 17792, 108134, 116229, 30512, 5486, 93488, 119557, 115707, 16556, 126362, 127145, 9174, 7511, 37823, 29220, 96452, 91482, 71550, 198, 91, 37823, 29220, 96452, 91482, 71550, 15682, 111476, 102667, 16325, 56906, 112919, 107740, 30046, 29295, 127181, 126909, 32018, 17792, 108134, 116229, 38641, 9174, 103826, 104680, 26854, 107430, 104091, 71289, 119208, 16144, 32018, 17792, 20230, 21601, 58942, 5486, 43511, 77181, 50928, 102204, 100604, 27384, 114435, 16144, 32018, 17792, 32977, 105843, 103350, 127145, 9174, 45280, 1341, 64810, 71493, 102860, 71493, 44971, 26269, 76428, 198, 91, 45280, 1341, 64810, 71493, 102860, 71493, 44971, 26269, 76428, 15682, 111476, 102667, 16325, 56906, 30046, 70141, 76622, 16144, 5486, 101772, 23951, 114308, 124911, 103234, 126362, 125175, 38641, 9174, 102667, 16325, 56906, 112919, 113009, 103214, 17129, 103468, 115612, 101772, 23951, 57326, 77750, 32131, 91062, 114475, 114341, 39926, 121270, 56906, 102677, 47260, 108969, 44971, 107840, 30512, 110498, 31431, 104087, 107290, 37656, 61337, 102351, 81258, 107430, 30512, 103350, 102321, 125545, 9174, 37823, 29220, 33710, 84477, 105335, 26269, 106384, 94550, 198, 91, 15682, 100204, 107436, 105647, 124955, 61337, 102351, 30512, 30832, 64467, 17663, 114754, 121771, 98369, 107740, 103792, 5486, 17792, 103234, 105647, 124955, 32018, 17792, 116229, 38641, 9174, 37656, 61337, 102351, 101983, 104028, 126362, 103911, 23187, 105647, 124955, 16144, 32018, 17792, 32977, 105843, 103350, 127145, 1811, 101678, 48864, 16325, 56906, 30046, 29295, 33655, 103836, 37087, 38144, 16144, 32018, 17792, 108134, 116229, 104088, 106956, 24273, 15682, 5486, 88852, 55031, 116696, 48552, 39926, 64121, 38144, 72315, 1811, 128001, 128000, 111482, 127303, 104984, 5486, 112832, 72661, 127637, 15682, 91763, 100472, 30926, 5486, 112622, 100472, 105908, 101182, 16144, 111769, 123253, 32149, 9174, 13177, 27384, 102769, 26854, 114284, 30512, 108385, 122101, 123737, 112028, 87217, 115717, 106956, 66383, 113637, 114284, 102052, 92877, 16995, 32977, 105268, 50834, 32977, 5486, 80805, 80805, 76706, 39880, 115507, 16556, 20834, 38093, 100472, 32149, 106116, 127177, 116245, 16556, 20834, 38093, 100472, 32149, 32977, 5486, 127032, 32977, 119436, 32977, 116690, 124897, 9174, 17129, 39926, 71289, 123737, 127303, 114598, 5486, 111482, 127303, 114598, 116690, 100604, 16144, 38641, 9174, 53901, 37689, 30512, 108623, 102334, 27384, 102769, 26854, 48706, 20230, 5486, 115364, 115789, 42016, 103826, 20230, 101067, 76947, 111654, 102800, 19732, 112622, 30297, 64209, 15682, 112073, 55999, 33035, 103195, 16144, 38641, 55031, 9174, 17620, 32149, 33121, 45893, 117282, 104468, 108048, 30512, 112622, 100472, 74482, 55031, 126529, 38641, 9174, 103350, 104983, 20230, 91763, 126832, 32149, 33476, 32149, 102677, 100909, 9174, 59739, 109709, 5486, 115891, 16995, 35818, 114284, 103195, 117232, 15682, 112832, 105352, 50211, 50667, 20230, 120824, 104028, 117735, 38641, 55031, 5486, 126521, 113702, 117282, 17792, 19732, 102131, 16556, 100604, 17792, 102052, 117119, 33503, 116421, 13177, 104364, 10646, 29295, 30591, 114598, 16937, 91763, 104760, 77181, 124897, 9174, 37729, 110783, 123253, 32149, 95532, 34171, 35083, 123253, 32149, 95532, 105184, 111201, 58426, 67645, 112384, 32977, 37656, 50338, 116787, 5486, 16937, 37656, 50338, 72661, 101182, 123253, 9174, 37729, 110783, 114556, 39926, 15682, 115924, 103359, 114556, 108826, 43568, 16995, 107118, 5486, 112832, 32977, 29295, 120267, 102769, 110615, 116497, 38641, 9174, 37656, 105184, 114556, 120837, 42016, 103826, 38641, 9174, 77181, 5486, 116900, 20230, 67645, 120950, 120266, 95221, 119707, 76622, 100481, 104984, 110745, 102769, 26854, 107707, 15120, 87217, 20230, 60358, 109669, 47884, 105908, 106084, 30369, 105879, 109954, 32149, 9174, 37271, 18904, 15682, 5486, 114284, 30512, 108385, 122101, 80805, 80805, 76706, 39880, 115507, 16556, 20834, 38093, 100472, 123737, 112028, 87217, 108176, 124122, 120098, 103306, 5486, 64209, 29295, 76622, 106956, 106592, 126362, 109768, 105898, 16995, 106046, 61689, 9174, 567, 109078, 34171, 29295, 110366, 20230, 102532, 111654, 102800, 19732, 112622, 30297, 111482, 30512, 30832, 64467, 72342, 106609, 126843, 15682, 5486, 123737, 29295, 67645, 120950, 111482, 20230, 110366, 20230, 102532, 111654, 102800, 119150, 104865, 30512, 113954, 39926, 33334, 107188, 118145, 26854, 31431, 107515, 9174, 31540, 103926, 102518, 31431, 5486, 58666, 67016, 100472, 31431, 1981, 32977, 43514, 85791, 25827, 37729, 110783, 109904, 28190, 15682, 115924, 103359, 112535, 109215, 26854, 100909, 116787, 33541, 9174, 80673, 108048, 71689, 20230, 71289, 15682, 31431, 32943, 28190, 109904, 105908, 32018, 62004, 125398, 16144, 38641, 9174, 105021, 117475, 16144, 104622, 21105 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 105212, 15682, 106848, 94134, 33014, 121142, 26854, 112987, 1811, 102159, 107707, 123120, 32977, 5486, 32977, 43514, 85791, 25827, 80631, 95, 112500, 108608, 9174, 3378, 33, 1600, 120270, 102181, 16144, 116882, 112919, 16, 17792, 5486, 110101, 65299, 111817, 121987, 15682, 36896, 102321, 31640, 107707, 102456, 104654, 15682, 104198, 104680, 116446, 5486, 105994, 19732, 115461, 78519, 125030, 76947, 16937, 113614, 36785, 113637, 109335, 108031, 17620, 32149, 103836, 66383, 87177, 17663, 9174, 13177, 86127, 127282, 125821, 43240, 103826, 26854, 102456, 30926, 30512, 19732, 31431, 5486, 125821, 102212, 108171, 30512, 125764, 30369, 118733, 5486, 121568, 103306, 125821, 113614, 101983, 104028, 15024, 5486, 125821, 69978, 106307, 88367, 26854, 83799, 16556, 102456, 100853, 100, 30512, 101662, 125655, 118733, 115461, 78519, 30512, 125821, 113614, 117657, 105908, 108608, 111329, 33420, 106382, 30046, 103306, 16144, 121507, 5486, 102803, 52591, 105335, 106696, 16144, 104721, 33208, 20230, 21601, 107290, 5486, 110886, 123120, 113468, 102159, 114754, 104721, 33208, 20230, 80631, 95, 112500, 108608, 102677, 37689, 91774, 32977, 101182, 9174, 120270, 102181, 116882, 112919, 16, 17792, 5486, 73361, 68759, 60868, 123577, 38248, 119, 123428, 55139, 117083, 107059, 105048, 102667, 16144, 116974, 9458, 42634, 25197, 9458, 109933, 65299, 45923, 37823, 121987, 15682, 36896, 106222, 103306, 102465, 163, 65620, 105755, 88356, 21990, 88367, 76739, 124643, 104603, 11972, 20230, 126330, 54926, 105908, 107693, 32149, 121061, 66383, 112844, 9174, 13177, 58426, 103846, 102052, 104405, 54926, 32149, 11571, 220, 122582, 102159, 107707, 123120, 113468, 1811, 80172, 95544, 32938, 16556, 111329, 13177, 90620, 110904, 20230, 115364, 46034, 24186, 16144, 101721, 95221, 30512, 33420, 17663, 103378, 126194, 5486, 125821, 56965, 30177, 109904, 83799, 113245, 80631, 95, 112500, 102677, 19732, 5486, 110886, 123120, 32149, 121061, 10646, 128001, 128000, 2, 101678, 48864, 103283, 16144, 102667, 16325, 56906, 96455, 16144, 101427, 122, 70141, 198, 102667, 16325, 56906, 96455, 15682, 5486, 102667, 125030, 76947, 68408, 37823, 102663, 84477, 26854, 108134, 38641, 105879, 108149, 109709, 35417, 21405, 84389, 100481, 107515, 9174, 80673, 111476, 44620, 102667, 16144, 103350, 48634, 36761, 102677, 22656, 77181, 5486, 101275, 98220, 16144, 47307, 52884, 11972, 30512, 76537, 43514, 105150, 76947, 5486, 43240, 119064, 102667, 16144, 102667, 16325, 56906, 96455, 29295, 35417, 21405, 116216, 61689, 59459, 102667, 16144, 103350, 48634, 32943, 77181, 16325, 56906, 96455, 30512, 56906, 48864, 96455, 103306, 5486, 101678, 48864, 19, 8107, 122756, 56906, 48864, 56051, 107707, 111017, 40862, 29295, 20379, 116216, 61689, 23954, 110382, 77181, 5486, 108895, 16995, 100472, 108134, 30512, 76706, 11883, 39926, 5486, 102667, 16325, 56906, 96455, 16144, 101427, 122, 70141, 104088, 100481, 50834, 17129, 109954, 9174, 567, 101678, 48864, 16325, 56906, 96455, 15682, 5486, 29504, 35417, 80195, 29295, 103167, 47884, 115408, 80195, 102667, 29295, 126574, 198, 102667, 16325, 56906, 96455, 15682, 5486, 29504, 35417, 80195, 29295, 103167, 47884, 115408, 80195, 102667, 29295, 126574, 102677, 101427, 122, 70141, 115991, 33541, 9174, 29504, 35417, 80195, 15682, 111476, 106081, 111186, 70626, 30832, 9039, 29295, 43240, 102518, 31431, 5486, 44971, 115882, 107407, 113314, 126574, 105879, 102667, 111363, 78228, 103192, 27479, 29295, 126574, 114754, 43167, 17129, 106358, 31431, 5486, 48864, 106382, 29295, 51385, 16995, 100909, 55031, 16325, 56906, 96455, 29295, 103167, 47884, 109020, 117840, 9174, 15120, 24273, 115408, 80195, 102667, 15682, 111476, 106081, 111186, 70626, 30832, 9039, 29295, 83747, 104435, 31431, 5486, 115598, 104364, 112603, 29295, 103167, 16995, 102667, 32977, 105693, 111842, 5486, 30832, 105888, 114792, 76947, 102667, 109156, 48864, 54926, 17792, 116749, 72661, 17701, 48864, 15024, 126172, 16995, 117501, 107407, 100909, 71289, 5486, 48864, 106382, 29295, 29504, 35417, 80195, 20230, 57106, 115694, 45736, 102334, 62004, 20230, 16325, 56906, 96455, 29295, 45736, 47884, 109020, 101427, 122, 70141, 20230, 57903, 33541, 9174, 88852, 5486, 679, 17, 8107, 20, 9953, 16144, 43167, 82420, 113702, 38641, 9174, 102667, 13372, 107668, 34048, 101678, 48864, 16325, 56906, 96455, 10110, 113127, 7705, 119109, 102667, 10110, 29504, 80195, 7705, 107879, 234, 111587, 48864, 34048, 220, 15, 13, 18, 220, 108931, 102667, 10110, 29504, 80195, 7705, 107879, 234, 111587, 48864, 34048, 220, 15, 13, 23, 126730, 102697, 80195, 102667, 10110, 35417, 80195, 7705, 107879, 234, 111587, 48864, 34048, 220, 18, 13, 21, 62205, 119906, 23530, 80195, 102667, 10110, 35417, 80195, 7705, 107879, 234, 111587, 48864, 34048, 220, 15, 13, 17, 121151, 114, 106608, 104577, 59657, 122, 102667, 10110, 86127, 80195, 7705, 107879, 234, 111587, 48864, 34048, 220, 17, 13, 23, 111366, 71005, 102667, 10110, 86127, 80195, 7705, 107879, 234, 111587, 48864, 34048, 220, 18, 13, 19, 107531, 75513, 102667, 10110, 86127, 80195, 7705, 107879, 234, 111587, 48864, 34048, 220, 18, 13, 20, 198, 37271, 18904, 5486, 108167, 109415, 28713, 104468, 198, 115598, 104364, 112603, 29295, 126574, 102667, 122416, 119627, 5486, 220, 58426, 16325, 72661, 86127, 80195, 120332, 29295, 16325, 56906, 96455, 29295, 45736, 47884, 109020, 101427, 122, 70141, 29295, 91774, 102204, 33541, 9174, 106081, 111186, 70626, 30832, 9039, 29295, 83747, 100604, 86127, 80195, 102667, 102416, 15682, 5486, 74245, 123628, 104862, 16995, 121423, 121142, 17701, 48864, 103082, 28713, 102083, 100472, 126465, 115991, 33541, 29295, 5486, 29504, 35417, 80195, 119775, 106081, 111186, 70626, 30832, 9039, 29295, 127181, 102667, 77181, 111108, 102800, 38641, 9174, 117734, 113146, 55031, 5486, 82420, 55723, 30512, 21105, 96, 107277, 121697, 38144, 5486, 102667, 30512, 30832, 64467, 103792, 107707, 23187, 100815, 96455, 16144, 45736, 30813, 29295, 21405, 115032, 104865, 110241, 33121, 107515, 9174, 567, 108837, 237, 104364, 112603, 16144, 126574, 102667, 15682, 16325, 56906, 96455, 29295, 103167, 47884, 5486, 115598, 104364, 112603, 16144, 103167, 16995, 102667, 15682, 16325, 56906, 96455, 29295, 126574, 198, 115598, 104364, 112603, 19732, 102667, 16325, 56906, 96455, 29295, 116690, 103792, 104468, 5486, 108936, 109904, 99750, 112854, 103306, 32977, 101182, 106046, 61689, 29295, 5486, 119526, 17905, 32977, 115598, 104364, 112603, 19732, 102667, 16325, 56906, 96455, 15682, 50021, 97518, 116690, 107407, 105908, 17620, 107277, 33541, 9174, 102667, 13372, 107668, 34048, 108837, 237, 104364, 112603, 101678, 48864, 16325, 56906, 96455, 10110, 113127, 7705, 121151, 114, 106877, 104577, 59657, 122, 102667, 107879, 234, 111587, 48864, 34048, 220, 2614, 220, 17, 13, 23, 65218, 105487, 102667, 107879, 234, 111587, 48864, 34048, 220, 2397, 220, 19, 13, 17, 111054, 58911, 106424, 102667, 107879, 234, 111587, 48864, 34048, 220, 1399, 220, 18, 13, 22, 116303, 119154, 102667, 107879, 234, 111587, 48864, 34048, 220, 3226, 220, 20, 13, 21, 59330, 224, 23951, 102667, 107879, 234, 111587, 48864, 34048, 220, 4331, 220, 20, 13, 18, 119109, 106613, 111587, 102667, 107879, 234, 111587, 48864, 34048, 220, 1135, 220, 24, 13, 20, 102966, 251, 47653, 102667, 107879, 234, 111587, 48864, 34048, 220, 2491, 220, 1032, 13, 16, 198, 115598, 104364, 112603, 1135, 25580, 74482, 71689, 16144, 102667, 20230, 58254, 252, 114598, 5486, 115598, 104364, 112603, 16144, 45736, 30813, 20230, 89046, 91875, 39926, 121270, 56906, 96455, 29295, 91875, 119188, 105908, 17620, 107277, 33541, 9174, 115598, 104364, 112603, 29295, 1135, 88852, 16144, 102667, 101983, 104533, 121270, 56906, 96455, 29295, 605, 113127, 30512, 72404, 107290, 109749, 102667, 29295, 115079, 107290, 50834, 38144, 5486, 102667, 71289, 48864, 34048, 113468, 15682, 508, 113127, 30512, 72404, 105262, 126465, 32977, 57903, 33541, 9174, 115598, 104364, 112603, 16144, 45736, 30813, 20230, 16325, 56906, 96455, 29295, 89046, 91875, 54926, 123017, 5486, 113173, 37689, 109375, 16144, 45736, 30813, 19732, 116690, 107407, 104865, 110241, 33121, 107515, 9174, 567, 220, 123011, 62004, 198, 110382, 103296, 15120, 34048, 16144, 102667, 20230, 48249, 100472, 108134, 119627, 5486, 102667, 16325, 56906, 96455, 16144, 101427, 122, 70141, 109853, 91774, 38144, 50834, 79721, 9174, 108936, 109904, 101427, 122, 70141, 103378, 30512, 50338, 108323, 109768, 50834, 79721, 29295, 111476, 115598, 104364, 112603, 20230, 89046, 91875, 72342, 101860, 20230, 102667, 16325, 56906, 96455, 29295, 103167, 16995, 102667, 107407, 123017, 30926, 103350, 38641, 9174, 102131, 16995, 100472, 102667, 29295, 104405, 16995, 100472, 103359, 105226, 117824, 103836, 104865, 30512, 104873, 115694, 5486, 43511, 102667, 32977, 108167, 125639, 100481, 47884, 121837, 30512, 112990, 102667, 37087, 33014, 16144, 44971, 115882, 29295, 115442, 107462, 47884, 32149, 110241, 33121, 107515, 9174, 106718, 110366, 125030, 76947, 15682, 5486, 115598, 104364, 112603, 123160, 108134, 20230, 21601, 107290, 5486, 108895, 16995, 100472, 102667, 16325, 56906, 96455, 16144, 108134, 29295, 107693, 38641, 9174, 80673, 115515, 18904, 5486, 115598, 104364, 112603, 16144, 126574, 15120, 34048, 16144, 102667, 16144, 108134, 20230, 48249, 100472, 114667, 32977, 5486, 102667, 125030, 76947, 68408, 37823, 102663, 84477, 26854, 108134, 38641, 105879, 5486, 109161, 117375, 30512, 102667, 20230, 58318, 107290, 112987, 124324, 102677, 55487, 101557, 106, 115991, 33541, 9174, 121568, 71289, 114435, 29295, 35417, 21405, 54926, 104468, 111108, 102800, 5486, 108895, 16995, 100472, 108134, 30512, 198, 29504, 29295, 108882, 110993, 112535, 104873, 112984, 39926, 87447, 20379, 109768, 47884, 109335, 5486, 106718, 121142, 103470, 5486, 102667, 125030, 114598, 57980, 16995, 117375, 125334, 30369, 16144, 111769, 123253, 32149, 9174, 97518, 89046, 77219, 198, 567, 101678, 48864, 16325, 56906, 30046, 198, 126909, 32018, 17792, 108134, 116229, 93488, 119557, 198, 102667, 16325, 56906, 30046, 20230, 126909, 16144, 32018, 17792, 108134, 116229, 30512, 5486, 93488, 119557, 115707, 16556, 126362, 127145, 9174, 7511, 37823, 29220, 96452, 91482, 71550, 198, 91, 37823, 29220, 96452, 91482, 71550, 15682, 111476, 102667, 16325, 56906, 112919, 107740, 30046, 29295, 127181, 126909, 32018, 17792, 108134, 116229, 38641, 9174, 103826, 104680, 26854, 107430, 104091, 71289, 119208, 16144, 32018, 17792, 20230, 21601, 58942, 5486, 43511, 77181, 50928, 102204, 100604, 27384, 114435, 16144, 32018, 17792, 32977, 105843, 103350, 127145, 9174, 45280, 1341, 64810, 71493, 102860, 71493, 44971, 26269, 76428, 198, 91, 45280, 1341, 64810, 71493, 102860, 71493, 44971, 26269, 76428, 15682, 111476, 102667, 16325, 56906, 30046, 70141, 76622, 16144, 5486, 101772, 23951, 114308, 124911, 103234, 126362, 125175, 38641, 9174, 102667, 16325, 56906, 112919, 113009, 103214, 17129, 103468, 115612, 101772, 23951, 57326, 77750, 32131, 91062, 114475, 114341, 39926, 121270, 56906, 102677, 47260, 108969, 44971, 107840, 30512, 110498, 31431, 104087, 107290, 37656, 61337, 102351, 81258, 107430, 30512, 103350, 102321, 125545, 9174, 37823, 29220, 33710, 84477, 105335, 26269, 106384, 94550, 198, 91, 15682, 100204, 107436, 105647, 124955, 61337, 102351, 30512, 30832, 64467, 17663, 114754, 121771, 98369, 107740, 103792, 5486, 17792, 103234, 105647, 124955, 32018, 17792, 116229, 38641, 9174, 37656, 61337, 102351, 101983, 104028, 126362, 103911, 23187, 105647, 124955, 16144, 32018, 17792, 32977, 105843, 103350, 127145, 1811, 101678, 48864, 16325, 56906, 30046, 29295, 33655, 103836, 37087, 38144, 16144, 32018, 17792, 108134, 116229, 104088, 106956, 24273, 15682, 5486, 88852, 55031, 116696, 48552, 39926, 64121, 38144, 72315, 1811, 128001, 128000, 111482, 127303, 104984, 5486, 112832, 72661, 127637, 15682, 91763, 100472, 30926, 5486, 112622, 100472, 105908, 101182, 16144, 111769, 123253, 32149, 9174, 13177, 27384, 102769, 26854, 114284, 30512, 108385, 122101, 123737, 112028, 87217, 115717, 106956, 66383, 113637, 114284, 102052, 92877, 16995, 32977, 105268, 50834, 32977, 5486, 80805, 80805, 76706, 39880, 115507, 16556, 20834, 38093, 100472, 32149, 106116, 127177, 116245, 16556, 20834, 38093, 100472, 32149, 32977, 5486, 127032, 32977, 119436, 32977, 116690, 124897, 9174, 17129, 39926, 71289, 123737, 127303, 114598, 5486, 111482, 127303, 114598, 116690, 100604, 16144, 38641, 9174, 53901, 37689, 30512, 108623, 102334, 27384, 102769, 26854, 48706, 20230, 5486, 115364, 115789, 42016, 103826, 20230, 101067, 76947, 111654, 102800, 19732, 112622, 30297, 64209, 15682, 112073, 55999, 33035, 103195, 16144, 38641, 55031, 9174, 17620, 32149, 33121, 45893, 117282, 104468, 108048, 30512, 112622, 100472, 74482, 55031, 126529, 38641, 9174, 103350, 104983, 20230, 91763, 126832, 32149, 33476, 32149, 102677, 100909, 9174, 59739, 109709, 5486, 115891, 16995, 35818, 114284, 103195, 117232, 15682, 112832, 105352, 50211, 50667, 20230, 120824, 104028, 117735, 38641, 55031, 5486, 126521, 113702, 117282, 17792, 19732, 102131, 16556, 100604, 17792, 102052, 117119, 33503, 116421, 13177, 104364, 10646, 29295, 30591, 114598, 16937, 91763, 104760, 77181, 124897, 9174, 37729, 110783, 123253, 32149, 95532, 34171, 35083, 123253, 32149, 95532, 105184, 111201, 58426, 67645, 112384, 32977, 37656, 50338, 116787, 5486, 16937, 37656, 50338, 72661, 101182, 123253, 9174, 37729, 110783, 114556, 39926, 15682, 115924, 103359, 114556, 108826, 43568, 16995, 107118, 5486, 112832, 32977, 29295, 120267, 102769, 110615, 116497, 38641, 9174, 37656, 105184, 114556, 120837, 42016, 103826, 38641, 9174, 77181, 5486, 116900, 20230, 67645, 120950, 120266, 95221, 119707, 76622, 100481, 104984, 110745, 102769, 26854, 107707, 15120, 87217, 20230, 60358, 109669, 47884, 105908, 106084, 30369, 105879, 109954, 32149, 9174, 37271, 18904, 15682, 5486, 114284, 30512, 108385, 122101, 80805, 80805, 76706, 39880, 115507, 16556, 20834, 38093, 100472, 123737, 112028, 87217, 108176, 124122, 120098, 103306, 5486, 64209, 29295, 76622, 106956, 106592, 126362, 109768, 105898, 16995, 106046, 61689, 9174, 567, 109078, 34171, 29295, 110366, 20230, 102532, 111654, 102800, 19732, 112622, 30297, 111482, 30512, 30832, 64467, 72342, 106609, 126843, 15682, 5486, 123737, 29295, 67645, 120950, 111482, 20230, 110366, 20230, 102532, 111654, 102800, 119150, 104865, 30512, 113954, 39926, 33334, 107188, 118145, 26854, 31431, 107515, 9174, 31540, 103926, 102518, 31431, 5486, 58666, 67016, 100472, 31431, 1981, 32977, 43514, 85791, 25827, 37729, 110783, 109904, 28190, 15682, 115924, 103359, 112535, 109215, 26854, 100909, 116787, 33541, 9174, 80673, 108048, 71689, 20230, 71289, 15682, 31431, 32943, 28190, 109904, 105908, 32018, 62004, 125398, 16144, 38641, 9174, 105021, 117475, 16144, 104622, 21105 ]