implement Idatab; include "ida.m"; init(): array of int { return invtab; } invtab := array[] of { 0, 1, 32769, 21846, 49153, 26215, 10923, 18725, 57345, 7282, 45876, 5958, 38230, 15124, 42131, 30584, 61441, 30841, 3641, 10348, 22938, 49933, 2979, 45591, 19115, 5243, 7562, 24273, 53834, 22599, 15292, 21141, 63489, 1986, 48189, 3745, 34589, 19484, 5174, 26887, 11469, 44757, 57735, 25910, 34258, 53886, 55564, 58565, 42326, 2675, 35390, 32126, 3781, 51935, 44905, 14299, 26917, 25295, 44068, 5554, 7646, 56942, 43339, 38490, 64513, 42347, 993, 5869, 56863, 15197, 34641, 48922, 50063, 38604, 9742, 45439, 2587, 19576, 46212, 9955, 38503, 8091, 55147, 61589, 61636, 32383, 12955, 7533, 17129, 45655, 26943, 11523, 27782, 7047, 62051, 15177, 21163, 41214, 34106, 662, 17695, 38284, 16063, 45176, 34659, 23094, 58736, 1225, 55221, 21044, 39918, 50186, 46227, 22039, 45416, 35333, 22034, 30808, 2777, 51218, 3823, 42247, 28471, 14919, 54438, 14156, 19245, 39219, 65025, 52328, 53942, 23013, 33265, 38928, 35703, 17962, 61200, 44967, 40367, 22160, 50089, 63213, 24461, 60954, 57800, 43842, 19302, 44583, 4871, 5718, 55488, 21701, 34062, 54400, 9788, 30443, 23106, 12523, 37746, 61003, 52020, 6513, 36814, 29753, 60342, 26612, 63563, 6279, 30818, 11246, 48960, 52123, 39246, 28412, 36535, 749, 41333, 23697, 55596, 25629, 46240, 4345, 38530, 62672, 13891, 43219, 36292, 50467, 63794, 12830, 40357, 62792, 43350, 33957, 20607, 57807, 17053, 52230, 331, 988, 41616, 23802, 19142, 59403, 40800, 61381, 22588, 48757, 50098, 48604, 11547, 31992, 29368, 38153, 33381, 5182, 60379, 21745, 10522, 12868, 19959, 12455, 25093, 34091, 55882, 36992, 43788, 24829, 22708, 60958, 50435, 28371, 11017, 25596, 15404, 11713, 34157, 25164, 25609, 44971, 34680, 61186, 53892, 2697, 47004, 535, 40228, 796, 27219, 64221, 7078, 57965, 42391, 45850, 52378, 32640, 65281, 32641, 26164, 58958, 26971, 2511, 44275, 35385, 49401, 10387, 19464, 37064, 50620, 30454, 8981, 64086, 30600, 3841, 55252, 42182, 52952, 11120, 11080, 2349, 57813, 41981, 64375, 20379, 44999, 5059, 30477, 53206, 28900, 28800, 21921, 13738, 9651, 57261, 55060, 40433, 35204, 43912, 2859, 3507, 27744, 59876, 43619, 34607, 17031, 63818, 27200, 17505, 4894, 58750, 47990, 28870, 11553, 52974, 39030, 7698, 18873, 11991, 63270, 31844, 26010, 22254, 36025, 43015, 18407, 60899, 47645, 50706, 30171, 64541, 13306, 198, 64550, 60420, 35908, 40496, 15409, 27615, 5623, 29192, 24480, 61501, 58830, 19107, 19623, 55469, 14206, 15676, 51036, 22722, 33143, 32115, 53435, 59039, 44617, 62214, 27798, 60764, 45583, 16795, 23120, 59183, 34941, 35928, 19265, 47043, 31336, 7143, 39714, 4973, 54378, 44869, 18146, 50778, 58002, 48410, 31897, 11821, 6415, 24036, 52947, 13073, 31396, 40212, 21675, 30130, 49747, 61134, 43072, 13815, 61672, 41233, 41295, 7671, 26115, 1991, 32934, 10235, 494, 12976, 20808, 8662, 11901, 46998, 9571, 27833, 62470, 19645, 20400, 24997, 63459, 14989, 11294, 56968, 57147, 51640, 25049, 51078, 24302, 24244, 38542, 49036, 15996, 21071, 14684, 19584, 51845, 17497, 49459, 20318, 2591, 55045, 62958, 29363, 43641, 14614, 5261, 40342, 6434, 16123, 42748, 14861, 38996, 53406, 45315, 9131, 49814, 1906, 27941, 46270, 18496, 57690, 21894, 50925, 45183, 15412, 11354, 53204, 30479, 39979, 57986, 35825, 46954, 20383, 38277, 53839, 12798, 16279, 7702, 57013, 38625, 26020, 49847, 32145, 12582, 55465, 45573, 42180, 55254, 5336, 17340, 21664, 30593, 2171, 26946, 47565, 34117, 12919, 23502, 53609, 33036, 48452, 20114, 55301, 398, 52562, 46378, 53801, 64879, 26136, 3539, 2093, 61751, 37003, 53964, 46979, 22925, 47440, 26189, 10043, 16320, 52327, 65409, 39220, 49089, 35250, 13082, 11282, 29479, 53162, 46254, 30064, 34024, 51377, 54906, 43941, 50461, 47505, 57469, 33326, 37962, 7899, 9732, 38732, 18532, 245, 25310, 8543, 15227, 12159, 37259, 14658, 32043, 23294, 15300, 43531, 34689, 47086, 27626, 64582, 21091, 18436, 26476, 20147, 5560, 36252, 5540, 6589, 33943, 17117, 61675, 38668, 53759, 6868, 64956, 43730, 42958, 47968, 55268, 53328, 35298, 6657, 48007, 64622, 26603, 20174, 14450, 28282, 14400, 11319, 43729, 64973, 6869, 28553, 37594, 19269, 61399, 21213, 27530, 4562, 52985, 17410, 17602, 40560, 21956, 23351, 34198, 22175, 34522, 6127, 13872, 30424, 29938, 7934, 54578, 60879, 50072, 3455, 41284, 19801, 31909, 4505, 13600, 20634, 41521, 42306, 2447, 62138, 29375, 43409, 23995, 38098, 14435, 25247, 38545, 29046, 26487, 38047, 19515, 62828, 3849, 62525, 42205, 10664, 38764, 47166, 31635, 20371, 15922, 56409, 13005, 40590, 11127, 10702, 50781, 23573, 54276, 52774, 41972, 60084, 63218, 29094, 56591, 39543, 25353, 17710, 47854, 26135, 65039, 53802, 6653, 31430, 99, 47843, 32275, 20893, 30210, 3832, 17954, 55055, 20248, 40924, 40473, 24832, 46576, 56022, 35580, 15392, 14596, 33975, 12240, 30122, 63519, 63426, 29415, 61423, 42322, 42165, 42580, 3995, 60503, 3035, 7103, 9457, 7838, 4432, 25518, 10343, 11361, 8532, 49340, 10097, 48826, 28620, 59486, 25750, 62288, 24194, 55077, 34571, 31107, 8388, 13899, 52209, 30382, 51513, 55560, 36836, 41166, 21238, 11560, 34541, 62360, 42241, 50239, 61198, 17964, 20824, 42401, 899, 56290, 63206, 15668, 21190, 36340, 22024, 19857, 36281, 35255, 60216, 27189, 22111, 55203, 62538, 9073, 14251, 25389, 21407, 29001, 175, 24205, 49480, 48717, 63013, 38679, 30555, 35976, 53936, 12018, 37129, 59242, 57614, 39305, 40456, 15698, 10880, 20106, 45799, 43606, 6477, 15065, 32726, 57642, 63587, 30567, 19196, 21536, 63344, 39676, 60994, 30836, 34237, 53385, 837, 53416, 15612, 36604, 34892, 45826, 11795, 33764, 59323, 16467, 34628, 37886, 25308, 247, 38319, 6488, 3445, 10404, 56046, 4331, 33299, 38719, 14410, 23499, 31997, 37554, 8182, 46685, 6384, 31235, 21362, 42591, 19058, 10200, 4813, 45267, 23126, 64498, 26582, 40263, 16006, 5647, 57752, 28484, 53650, 61342, 1423, 25820, 47398, 45293, 54129, 25539, 40578, 12151, 783, 12122, 61397, 19271, 50497, 24518, 57685, 7998, 28464, 43304, 43485, 7342, 6793, 9792, 6546, 58691, 59621, 41517, 23532, 57498, 47413, 10159, 54398, 34064, 39581, 60291, 16707, 31479, 58112, 47450, 9600, 54589, 905, 7307, 25658, 35399, 26425, 20171, 39472, 3217, 20102, 40830, 19087, 21374, 27896, 40199, 47724, 19498, 57169, 26703, 14925, 55426, 33690, 37334, 36483, 24907, 9981, 953, 44448, 46739, 1169, 23135, 729, 9248, 3055, 28845, 63650, 10947, 869, 58231, 57661, 55360, 55227, 7706, 46473, 5677, 5599, 26602, 64964, 48008, 12650, 52758, 45284, 28993, 5835, 50681, 49135, 23477, 47966, 42960, 41429, 51907, 21587, 59688, 24286, 6399, 31469, 40908, 62523, 3851, 30915, 61275, 17658, 52081, 35032, 13010, 21892, 57692, 2566, 48841, 19931, 6291, 43300, 60501, 3997, 55555, 894, 21090, 64988, 27627, 54306, 2668, 53236, 8670, 45078, 10832, 7418, 48065, 59221, 33854, 23043, 13473, 36184, 56551, 17886, 49827, 31253, 39228, 63991, 11751, 49572, 59573, 33940, 16518, 16902, 24226, 53603, 10057, 10446, 60419, 65205, 199, 23922, 26281, 54030, 23189, 66, 59669, 13305, 65208, 30172, 13068, 20140, 34538, 36795, 33815, 42733, 63644, 57190, 51270, 19980, 26982, 64173, 56258, 9205, 44231, 55962, 23720, 24988, 45863, 53422, 37790, 17558, 8160, 55010, 58932, 42346, 65473, 38491, 19610, 20931, 57313, 6369, 17625, 56447, 6541, 45933, 5641, 62181, 47508, 18770, 26581, 64717, 23127, 27071, 15032, 47629, 17012, 49043, 58457, 7574, 27453, 17993, 54739, 13282, 57999, 10705, 56521, 58828, 61503, 21825, 16663, 63371, 18981, 33170, 36718, 46178, 4866, 20738, 19366, 51410, 9266, 60142, 32891, 63946, 12655, 41350, 37040, 53466, 40382, 27444, 38848, 60192, 51398, 59535, 7329, 63419, 48790, 4349, 11647, 1447, 7650, 11976, 54534, 5106, 50113, 47249, 23543, 15681, 13813, 43074, 32291, 1789, 43314, 2381, 9218, 52287, 13238, 2491, 42842, 45349, 2780, 8037, 18126, 27312, 2770, 36802, 36063, 33033, 49740, 13788, 41327, 16926, 63606, 62380, 19334, 26670, 59648, 59828, 3434, 57105, 32478, 22639, 21865, 25786, 21479, 63686, 23984, 44288, 27634, 8012, 26664, 58172, 17649, 60425, 36097, 48049, 56772, 25299, 32311, 11199, 46070, 13404, 10087, 8427, 7225, 5343, 14141, 31889, 7200, 53925, 38428, 58186, 54633, 20378, 65255, 41982, 36203, 31334, 47045, 4605, 18797, 897, 42403, 63858, 63468, 35590, 43375, 15450, 13765, 23943, 2281, 2557, 59261, 15427, 8705, 10969, 8801, 44355, 20280, 27827, 10978, 30922, 44444, 47103, 17099, 51254, 43856, 35209, 17261, 26171, 35832, 7871, 6936, 48457, 15212, 24733, 14969, 38452, 3967, 10588, 27289, 15666, 63208, 50871, 25036, 59918, 34496, 52969, 20642, 38019, 42669, 47849, 48723, 28394, 35021, 46460, 6800, 107, 10317, 30178, 53529, 11305, 21153, 30985, 33992, 26842, 31069, 26374, 47456, 30040, 54473, 40835, 44766, 40822, 19049, 37751, 39986, 39059, 45392, 32532, 52041, 24924, 14523, 17026, 46012, 41111, 51792, 11593, 42526, 29927, 31414, 61737, 34693, 63666, 64031, 38191, 53871, 9170, 5332, 28708, 19382, 50715, 23583, 50068, 48586, 45150, 42954, 6528, 7961, 40441, 60973, 12554, 39271, 27678, 20295, 1890, 38332, 32743, 5351, 50464, 58159, 58724, 44555, 16600, 27138, 40194, 26387, 24899, 20986, 54471, 30042, 53479, 31609, 9420, 14547, 23539, 61064, 26717, 52540, 32593, 45445, 16572, 8855, 35293, 23927, 53358, 45836, 7077, 65288, 27220, 26901, 30309, 36095, 60427, 15715, 48645, 32818, 54507, 56690, 19508, 48906, 17802, 43215, 45546, 15105, 5064, 1916, 46735, 8977, 46420, 60296, 18599, 10124, 22481, 20462, 46847, 53005, 45413, 12416, 37269, 23288, 37068, 28011, 4851, 17790, 19230, 7696, 39032, 7298, 42983, 49756, 16975, 6120, 26340, 15061, 56257, 64528, 26983, 31713, 19081, 47476, 35952, 63480, 61426, 21161, 15179, 53851, 60866, 21290, 35172, 34766, 63636, 63020, 15708, 34286, 55633, 36320, 2224, 37497, 26177, 3919, 28640, 2216, 45466, 12759, 18866, 37940, 39792, 38449, 27397, 4266, 19722, 24670, 27272, 37817, 56615, 24413, 34611, 14310, 40850, 29743, 23024, 12875, 7478, 31144, 30519, 12097, 43398, 60307, 21784, 50054, 10715, 48322, 27211, 4194, 829, 39718, 40334, 58873, 13732, 15191, 43248, 58525, 14060, 27780, 11525, 18418, 36856, 20583, 45470, 10619, 22544, 5780, 8050, 50039, 29067, 31180, 5760, 53889, 1087, 57888, 44415, 30599, 65266, 8982, 40098, 10412, 15855, 53969, 63198, 33218, 59428, 28145, 26152, 31603, 63118, 7834, 37667, 10595, 61561, 18170, 62191, 11012, 43127, 42697, 59842, 50909, 21194, 50396, 42020, 30108, 62125, 46363, 59563, 43824, 39552, 60370, 61212, 31269, 57119, 37305, 31206, 39894, 61625, 45463, 28752, 43472, 53131, 47269, 8712, 32856, 18144, 44871, 55713, 24740, 44389, 57127, 38190, 64275, 63667, 52108, 34180, 48046, 24983, 17988, 48947, 26968, 59351, 6009, 10066, 51333, 59281, 29621, 37659, 28807, 15018, 52421, 25871, 20228, 47039, 7849, 37762, 5440, 6421, 10053, 39288, 55668, 3501, 21803, 42469, 36007, 34919, 40301, 51545, 16363, 32365, 28821, 11750, 64562, 39229, 48052, 38036, 9598, 47452, 10768, 32663, 31672, 5774, 19838, 61412, 30497, 28880, 15418, 23595, 49887, 31867, 59461, 49917, 33187, 8281, 26708, 60817, 7806, 55817, 18302, 23415, 17446, 14647, 22913, 41184, 38666, 61677, 16882, 15835, 62430, 49101, 41002, 28613, 17314, 54800, 18943, 3547, 12654, 64466, 32892, 2633, 51928, 45691, 3244, 14199, 34491, 56602, 5202, 44742, 28023, 46158, 34934, 43773, 49418, 48123, 52128, 25335, 7205, 46539, 44518, 25841, 48767, 8603, 18777, 4053, 4091, 22183, 56111, 45039, 3192, 4886, 48386, 51502, 10681, 34561, 54064, 51456, 9529, 13019, 5100, 47718, 35175, 36356, 55402, 36792, 11563, 54141, 32249, 37541, 13291, 16474, 52900, 39123, 8003, 43373, 35592, 56396, 28876, 38306, 14242, 27991, 26825, 13147, 30671, 11114, 33480, 50407, 12910, 55594, 23699, 46936, 55415, 12084, 59833, 21387, 45538, 23364, 20289, 24042, 38844, 62599, 33160, 34314, 6061, 49397, 63467, 64366, 42404, 50644, 58017, 34735, 12259, 5523, 61611, 55553, 3999, 24135, 14232, 47244, 21652, 43201, 54511, 58268, 3671, 19580, 36165, 58748, 4896, 37835, 3273, 47142, 62114, 38515, 62579, 17776, 53527, 30180, 11766, 11491, 28749, 2219, 56475, 56251, 37848, 2252, 27199, 65232, 17032, 9901, 52559, 44731, 62914, 50416, 41122, 30928, 48508, 28201, 29056, 31273, 23725, 62436, 4800, 29350, 60063, 3773, 33221, 15753, 36422, 5910, 12829, 65349, 50468, 56974, 45981, 61523, 42854, 53209, 19736, 21933, 34377, 59817, 10051, 6423, 20415, 36368, 42312, 32191, 10687, 7071, 13948, 42192, 52868, 51130, 23862, 45212, 9749, 13263, 61353, 6550, 46120, 27649, 40231, 51765, 27713, 38024, 16845, 13520, 18667, 3459, 51010, 41829, 45222, 51475, 37759, 57542, 33245, 1099, 22224, 51083, 56138, 56326, 33353, 3359, 44336, 23888, 33133, 4663, 4624, 29730, 34296, 31987, 47191, 24944, 31825, 57159, 38242, 46336, 33203, 14222, 61884, 17785, 61599, 20293, 27680, 14680, 60382, 30913, 3853, 44843, 56005, 21606, 35607, 22516, 35568, 28446, 13301, 40347, 32482, 13315, 24004, 45193, 6325, 14536, 26379, 54192, 22642, 6878, 47265, 5055, 35686, 33213, 58109, 14102, 57336, 45773, 44507, 32609, 23983, 64404, 21480, 5093, 53483, 48296, 58722, 58161, 43562, 24854, 29844, 42224, 12143, 34545, 35968, 23263, 48503, 55638, 20454, 52107, 64030, 64276, 34694, 61898, 48226, 9682, 63406, 10370, 8829, 8336, 58809, 34528, 17516, 13713, 6505, 28579, 10946, 64634, 28846, 45241, 1283, 27206, 57189, 64533, 42734, 31022, 35914, 27880, 21650, 47246, 63019, 64158, 34767, 62162, 60546, 15722, 447, 37597, 10545, 36871, 32494, 28636, 46582, 47928, 27153, 60472, 1334, 18803, 26618, 57204, 4335, 20572, 22539, 13530, 5416, 6026, 3709, 41390, 56801, 25413, 62379, 64417, 16927, 27632, 44290, 51549, 39505, 35729, 18092, 10951, 61044, 39437, 8943, 52180, 57682, 2763, 48395, 20028, 19614, 30566, 64764, 57643, 38644, 9698, 24786, 21354, 62555, 5827, 16970, 13181, 8259, 10260, 8451, 62165, 12113, 27749, 59570, 43447, 37797, 61909, 5223, 52403, 62978, 6278, 65371, 26613, 32868, 17934, 11961, 39607, 45909, 40361, 27015, 54168, 44363, 2047, 33, 17349, 62603, 59639, 39421, 395, 32604, 35876, 15086, 28810, 6534, 45912, 10070, 19966, 17269, 23123, 51166, 4548, 49676, 54162, 54135, 62043, 31822, 54413, 28595, 22454, 25635, 35487, 9990, 22507, 13491, 63425, 64855, 30123, 28129, 40989, 37371, 41564, 54884, 18674, 27981, 57357, 11860, 21738, 12494, 48822, 55700, 27659, 26711, 3929, 18895, 11325, 8779, 61455, 4080, 61459, 27505, 53732, 29466, 57429, 21173, 1985, 65505, 21142, 52014, 26905, 9805, 51523, 43234, 42320, 61425, 64167, 35953, 44625, 41581, 14055, 60992, 39678, 36039, 24501, 55735, 45023, 35589, 64365, 63859, 49398, 23754, 44703, 9385, 10328, 46059, 14988, 65127, 24998, 44332, 47460, 46304, 17336, 7516, 23323, 56583, 57969, 8506, 15247, 57290, 47139, 61997, 501, 3787, 44171, 46495, 2844, 41765, 23386, 60138, 29540, 6641, 47057, 61768, 36022, 38121, 36641, 61029, 9540, 29414, 64854, 63520, 13492, 43681, 30429, 41100, 48789, 64454, 7330, 42259, 51756, 16585, 3087, 18359, 43239, 23089, 55215, 2433, 13760, 10369, 63661, 9683, 2796, 25705, 55929, 4633, 46799, 30071, 17403, 49214, 5265, 31973, 7095, 39096, 17171, 20675, 56349, 18520, 30588, 26733, 55970, 20191, 57440, 13722, 11009, 19424, 28925, 30096, 2307, 25699, 60624, 62536, 55205, 36433, 18980, 64478, 16664, 24395, 35926, 34943, 483, 38592, 54016, 33492, 42245, 3825, 41574, 5988, 8241, 27267, 28787, 2553, 12549, 57825, 60498, 56393, 43991, 44540, 53711, 40609, 35655, 39675, 64760, 21537, 16332, 48914, 15989, 33663, 28909, 21657, 20605, 33959, 14577, 4609, 29187, 58912, 24053, 6619, 45867, 34014, 55785, 21421, 19131, 55443, 36896, 1390, 20072, 36787, 1713, 9063, 41193, 13656, 29216, 1385, 28041, 18401, 43760, 50800, 20846, 49285, 41684, 24870, 23274, 6894, 26596, 53432, 47080, 8463, 55263, 31803, 50827, 31190, 25011, 9667, 9254, 13335, 21904, 29824, 42516, 29914, 27688, 1717, 38339, 61321, 11538, 16239, 47592, 44088, 42850, 43701, 6145, 12893, 60440, 43508, 10185, 31843, 65219, 11992, 56352, 22144, 61670, 13817, 28112, 4006, 55512, 13332, 34222, 29086, 30166, 41593, 1178, 62981, 62896, 50817, 49963, 56793, 12924, 28386, 35331, 45418, 50061, 48924, 54819, 38368, 47318, 23035, 56949, 6702, 40166, 37812, 37112, 36982, 27945, 36381, 7165, 35440, 2159, 39839, 37693, 48713, 25693, 3600, 54600, 59731, 17184, 19214, 37478, 29093, 64887, 60085, 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